The distance d between the student and the mirror is given by the similar triangles are d = 10.5 feet
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the triangles be represented as ΔABC and ΔCDE
Now , they are similar triangles
The measure of AB = height of the school = 30 feet
The measure of BC = distance from the school to the mirror = 50 feet
And ,
The measure of DE = height of the student = 6.3 feet
The measure of CD = distance d between the student and the mirror
So , the corresponding sides of similar triangles are in the same ratio
On simplifying the equation , we get
BC / AB = CD / DE
And , 50 / 30 = d / 6.3
Multiply by 6.3 on both sides , we get
d = ( 5/3 ) x 6.3
d = 31.5 / 3
d = 10.5 feet
Hence , the distance d between the student and the mirror is 10.5 feet
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7. Find the area of H
8. Find the radius of H
Answer:
7. 45
8. 78
Step-by-step explanation:
what is the volume of the cone to the nearest whole unit?
871in.3
1,307in. 3
1,415in. 3
2,614in.3
Using the volume formula, the required volume of the cone is (A) 871in³.
What is a cone?
A cone is a three-dimensional geometric form with a flat base and a smooth tapering apex or vertex.
A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex.
Christmas trees, carrots, party hats, ice cream cones, and traffic cones are five instances of cones in everyday life (used as road dividers).
Explanation: A cone is a three-dimensional solid shape with a circular base at one end and one pointy edge serving as a vertex.
So, the volume of a cone is:
πr²h/3
Now, insert values as follows:
πr²h/3
π8²13/3
871.26836
Round off: 871in³
Therefore, using the volume formula, the required volume of the cone is (A) 871in³.
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Complete question:
what is the volume of the cone to the nearest whole unit?
A. 871in.3
B. 1,307in. 3
C. 1,415in. 3
D. 2,614in.3
First option is correct. The volume of the cone to the nearest whole unit is 871 in³
Given data radius r=8in and height h=13in
Volume denoted by V
Volume can be defined as how much space can hold by the boundaries 3-dimensional figure.
Formula for Volume of the cone is V=[tex]\pi r^{2} \frac{h}{3}[/tex]
Submit the given values in the above formula.
V=[tex]\pi 8^{2} \frac{13}{3}[/tex]
V=π*64*(13/3)
Simplify and calculate the final result
V=871.20 in³
Therefor, The volume of the cone to the nearest whole unit is 871 in³
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Male and female high school students reported how many hours they worked each week in
summer jobs. The data is represented in the following box plots.
0
Males
Females
4.
10
20
30
40
50
Identify any values of data that might affect the statistical measures of spread and center. (1
point)
The value of data that might affect the statistical measures of spread and center is B. There is a high data value that causes the data set to be asymmetrical for the males.
How can spread and center be affected ?Outliers stretch out the data further, resulting in a wider range and a higher standard deviation. On the other hand, eliminating outliers reduces data spread, resulting in a lower range and standard deviation.
When an outlier is present, it might change the way the graph looks since it raises the mean. From the chart, there is a high data value in the males which will therefore make the data to be asymmetrical for the males as the larger spread for the males means the data set tilts towards them.
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Based on the t-test assuming equal variances on the T-Test Equal worksheet, is it reasonable to assume that the variances are equal? O Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal. O Whether the variances are equal or not is not relevant for this situation.O Examining the ratio of the variances, it is reasonable to conclude that the variances are equal. O It is impossible to determine if the variances are equal given the data we have.
Based on the t-test assuming equal variances "Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal."
When conducting a t-test assuming equal variances, it is necessary to determine whether or not the variances of the two groups being compared are actually equal. This is important because the calculation of the t-statistic depends on the assumption of equal variances.
To assess the assumption of equal variances, one can examine the ratio of the variances of the two groups. Typically, if the ratio of the variances is greater than 2 or less than 1/2, then it is reasonable to conclude that the variances are unequal. In the absence of such evidence, one can assume that the variances are equal.
Therefore, it is not reasonable to assume that the variances are equal.
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what is 190lbs in kg ?
The pound is defined as 453.59237 grams. Using the formula to convert pounds to kilograms, you find that 190 pounds equals 86.18 kilograms.
We know that :
1 lb/ Pound = 0.453592 kilogram
therefore,
190 lbs/ Pound = 86.18 kilogram.
Using the formula to convert pounds to kilograms, you find that 190 pounds equals 86.18 kilograms
To convert 190 pounds (pounds) to kilograms (kg), you must use the conversion factor 1 pound = 86.18 kilogram.
Therefore,
we multiply 190 pounds by 86.18 kg/lb to get the equivalent weight in kilograms:
190 pounds x 0.45359237 kg/lb = 86.1825503 kilogram
Therefore,
190 pounds is 86.18 kilogram.
To understand the conversion factor, you need to know that pounds and kilograms are units of mass, but are used in many parts of the world. In the United States and some other countries, the accepted unit of mass is the pound, while most other countries use the kilogram.
A conversion factor connects the number of pounds to the number of kilograms, so you can easily convert from one unit of measure to another. It is important to use the correct conversion factor for accurate conversion.
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If point A is (- 6, 24) apply a dialation of 1/2 to find A^ prime
A' is a dilation can only make the point bigger!
How do you find the dilation of a point?The coordinate plane movement of a point is referred to as dilation. To achieve this, find the horizontal and vertical distances from the center of dilation, multiply them by a scale factor, and then add those results to get the coordinates of the dilated point.
A dilatation is a kind of transformation that increases or decreases the size of a figure (referred to as the preimage) to produce a new figure (called the image). The size of the dilation image relative to the preimage is determined by the scale factor, r. k will always have a value larger than zero.
Therefore, the correct answer is option a) a dilation can only make the point bigger!
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In a bimodal histogram, the two highest bars will have the same height.
True or False
In a bimodal histogram, the two highest bars will have the same height.
The above statement is TRUE that is n a bimodal histogram, the two highest bars will have the same height.
A histogram is said to be bimodal if it has two peaks. The only defining characteristic about this distribution is that it has 2 peaks of the same height. Bimodality sometimes occurs when the data set consists of observations from two different group of individuals. If this shape occurs, the two sources should be separated and analysed separately.
A bimodal histogram shape often reflects the presence of two different processes being "mixed" in the displayed data. For example, the data could contain information from two different machines, two shifts, weekdays and weekends, two offices, etc.
In some cases bimodal histogram indicates that the sample can be divided into two sub samples that differ from each other in some way.
Thus in a bimodal histogram, the two highest bars will have the same height.
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a wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern colorado. to estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. the biologist checked for the following.
The biologist was checking the condition for inference that (d) the observations within each sample are close to independent.
This is concluded from the fact that the biologist was checking if the product of sample size and the proportion of deer with chronic wasting disease in each sample was greater than or equal to 10. This is a commonly used rule of thumb to ensure that each sample has enough data to provide meaningful information about the population, and it is based on the idea that the sample size should be large enough such that the expected number of success (deer with chronic wasting disease) is at least 10 and the expected number of failures (deer without chronic wasting disease) is at least 10.
This helps to ensure that the observations within each sample are close to independent, as the sample proportions are unlikely to be greatly influenced by any individual deer in the sample.
Correct Question :
A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern colorado. to estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. the biologist checked for the following:
(200)(0.06)≥10
(200)(0.94)≥10
(197)(0.086)≥10
(197)(0.914)≥10
Which of the following conditions for inference was the biologist checking?
a. The population of deer within each region is approximately normal.
b. It is reasonable to generalize from the samples to the populations.
c. The samples are independent of each other.
d. The observations within each sample are close to independent.
e. The sampling distribution of the difference in sample proportions is approximately normal.
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You want to deliver a package to Japan. The FedEx delivery service charges a $10 flat fee plus $2 per pound. You can also use the USPS Priority Mail service which charges a $2 flat fee plus $4 per pound.
Write an equation for the cost for FedEx to send the package.
Use x as the number of pounds and use y as the total cost.
The cost function for FedEx delivery is -
C{x} = 2x + 10
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Given is that you want to deliver a package to Japan. The FedEx delivery service charges a $10 flat fee plus $2 per pound. You can also use the USPS Priority Mail service which charges a $2 flat fee plus $4 per pound.
For the FedEx delivery, we can write the cost function as -
C{x} = 2x + 10
Therefore, the cost function for FedEx delivery is -
C{x} = 2x + 10.
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Where can I find free SAT practice tests?
There are several resources where you can find free SAT practice tests, including:
1.Official SAT Practice Tests:
2.Khan Academy:
3.Ivy Global:
4.PrepScholar
5.CrackSAT
6.Peterson's
There are several resources where you can find free SAT practice tests, including:
1.Official SAT Practice Tests: The College Board, the organization that creates and administers the SAT, offers eight official practice tests for free on their website. These tests are the most accurate representation of the real exam.
2.Khan Academy: The College Board has partnered with Khan Academy to provide free SAT practice materials, including full-length practice tests and personalized study plans based on your performance.
3.Ivy Global: Ivy Global offers a free SAT practice test with answer explanations that mimic the actual test.
4.PrepScholar: Prep Scholar offers a free online SAT practice test that closely resembles the real exam.
5.CrackSAT : CrackSAT offers a wide range of free practice tests, including SAT Subject Tests.
6.Peterson's: Peterson's offers a free online practice test that includes a score report with detailed feedback.
Remember, the more practice you have, the more prepared you'll be for the SAT. So take advantage of these free resources and practice as much as you can.
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find
15% of 540
45% of 320
20% of 95
And thank you for answering my god bless you
Answer:
81, 144 and 19
Step-by-step explanation:
What is a percentage?A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
To solve for the first problem, we can use this equation:
15% × 540 = 81For the second:
45% × 320 = 144And the third:
20% × 95 = 19Therefore, 81, 144 and 19 are the answers.
Find the value of each variable show proofs
The value of each variable include the following:
x = 5 units.
y = 5√2 units.
How to determine the value of x?From the image attached above, we can logically deduce that the triangle is a right-angled triangle with the following side lengths:
Opposite side = 5.
Adjacent side = x.
Hypotenuse = y.
Therefore, we would determine the value of x by using Tan trigonometric function:
Tanθ = Opposite side/Adjacent side
Tan45 = 5/x
x = 5Tan45
x = 5(1)
x = 5 units.
Next, we would determine the value of y by using Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
y² = 5² + 5²
y = √50
y = 5√2 units.
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What is the price of a mobile whose market price is Rs 15,000 and 13% VAT was levied after allowing 20% discount on it?
The cell phone costs Rs 13,560 after a 20% discount and 13% VAT are applied.
Market price and discount.First, we need to calculate the discount amount given on the market price of the mobile phone:
Discount = 20% of the market price
Discount = 0.20 x 15000
Discount = 3000
So, the discounted price of the mobile phone is:
Discounted Price = Market Price - Discount
Discounted Price = 15000 - 3000
Discounted Price = 12000
Now, we need to add the VAT amount to the discounted price:
VAT = 13% of the discounted price
VAT = 0.13 x 12000
VAT = 1560
Therefore, the final price of the mobile phone, including the discount and VAT, is:
Final Price = Discounted Price + VAT
Final Price = 12000 + 1560
Final Price = 13560
So, the price of the mobile phone, after allowing a 20% discount and levying 13% VAT, is Rs 13,560.
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What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
The additional information required to prove that ΔXYZ and ΔFEG are congruent is ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.
Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.
When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.
∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned
XZ ≅ FG and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles
XY ≅ EF and ZY ≅ FG, is not possible.
∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.
So, the correct answer is option 1 and option 5.
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The complete question is as follows and image is given below
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
∠Z ≅ ∠G and XZ ≅ FG
∠Z ≅ ∠G and ∠Y ≅ ∠E
XZ ≅ FG and ZY ≅ GE
XY ≅ EF and ZY ≅ FG
∠Z ≅ ∠G and XY ≅ FE
Answer:
1 and 5 are correct
Step-by-step explanation:
Múltiples that are shared by two or more numbers are
Answer:
common multiples
Step-by-step explanation:
expression by 1 2 +1 3 || + −1+ 4 + rewrite the expression by adding the whole numbers first
The value of the expression is 28.
What is an expression?An expression contains more than two variables or numbers with addition, subtraction, multiplication, and division.
Example: 4.4 + 3x + 9.9y = 7 is an expression.
We have,
12 + 13 + -1 + 4
All the terms are whole numbers.
= 25 + 4 - 1
= 29 - 1
= 28
Thus,
28 is the value.
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What are the 9 rules of inference?
The nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions
So the nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions. These guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from preexisting ones. These are the nine inference rules:
Modus Ponens (MP) states that if p implies q and p is true, q must also be true.
Modus Tollens (MT) states that if p implies q but q is untrue, then p is untrue.
Hypothetical Syllogism (HS): P implies R if and only if P implies Q and Q implies R.
Disjunctive Syllogism (DS): If p or q and p are both true, then q is true.
When adding (ADD), if p is true, p or q and these guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from pre existing ones. These are the nine inference rules.
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A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.
2, 346, 725, 166, 3,722, 1,589, 576, 1,031, 114, 1,307, 3,479
Can the manufacturer assume the prediction is valid? Explain your answer.
______ the sample is ________ compared to the size of the shipment.
1. No | 1. biased
2. Yes | 2. too small
| 3. biased
| 4. random
No, the sample is random compared to the size of the shipment.
What is a Sample Size?The number of individuals or observations included in a study is referred to as the sample size.
The sample is not large enough to be representative of the entire shipment, and therefore the manufacturer cannot assume the prediction is valid.
A random sample of 13 out of 5,000 MP3 players is too small to accurately predict the proportion of defective MP3 players in the entire shipment.
Additionally, the way the clerk generated the sample by using numbers 1 through 300 to represent defective MP3 players may have introduced a bias into the sample.
To accurately assess the proportion of defective MP3 players, a larger, more representative sample would be necessary.
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29 Minimum wage (dollars per hour) 0 10 20 Minimum Wage +X 30 40 50 60 70 80 Years since 1940 The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y = 0.096x - 0.488. What does the line of best fit predict about the increase in the minimum wage over the 70 year period? (A) Each year between 1940 and 2010, the average increase in minimum wage was 0.096 dollars. B) Each year between 1940 and 2010, the average increase in minimum wage was 0.49 dollars. C) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars. D) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.488 dollars.
The information which the line of best fit predict about the increase in the minimum wage over the 70 year period is that: C) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.
What is a line of best fit?In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
Based on the scatter plot, an equation which represents the line of best fit include the following:
y = 0.096x - 0.488.
In this context, we can logically deduce that the initial minimum wage is $0.488 and the average increase in minimum wage is equal to 0.096 dollars each year between 1940 and 2010.
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Ava's birthday cake is 11\dfrac{7}{10}\text{ cm}11 10 7 cm11, start fraction, 7, divided by, 10, end fraction, start text, space, c, m, end text tall. Her candles stick up from the cake an additional 5\dfrac4{10}\text{ cm}5 10 4 cm5, start fraction, 4, divided by, 10, end fraction, start text, space, c, m, end text. What is the total height of the cake and candles?
The total height of the cake and candles is [tex]16\frac{1}{10}[/tex]
What is Fraction?A fraction represents a part of a whole.
Ava's birthday cake is [tex]11\frac{7}{10}[/tex]
Her candles stick up from the cake an additional [tex]5\frac{4}{10}[/tex]
We need to find the total height of the cake and candles
We have to add both the heights.
[tex]11\frac{7}{10}[/tex] + [tex]5\frac{4}{10}[/tex]
107/10+54/10
161/10
[tex]16\frac{1}{10}[/tex]
Hence, the total height of the cake and candles is [tex]16\frac{1}{10}[/tex]
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Fill in each blank with the appropriate word or number.
In a 45-45-90 triangle, the legs are always (unequal or equal) and the hypotenuse is always *blank* times either leg.
In a 45-45-90 triangle, the legs are always equal and the hypotenuse is always [tex]\sqrt{2}[/tex] times either leg.
What is an isosceles right angled triangle?
It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The triangles on either side of the diagonals are isosceles and congruent.
We are given that;
Angles of triangle= 45-45-90
Now,
This is a special case of a right triangle where the two acute angles are equal to 45 degrees each, and it has some unique properties, such as the fact that the two legs are congruent, and the hypotenuse is the square root of 2 times longer than each leg. This relationship can be expressed mathematically as:
If a and b are the lengths of the legs of a 45-45-90 triangle, and c is the length of the hypotenuse, then:
a = b
c = a * sqrt(2) = b * sqrt(2)
Therefore, in this right triangle the answer will be equal and [tex]$\sqrt{2}$[/tex] times.
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I need help with this please
The price of a pair of jeans is $75 a store then wanted to mark them up 20%. What is the price of the jeans after the markup?
The price of the jeans after the markup is equal to $90.
How to calculate the markup price?Generally speaking, the markup price of a product can be calculated by multiplying the cost price by the markup value.
Markup price = 20/100 × 75
Markup\; price = 0.2 × 75
Markup price = $15
Now, we can find the new cost of the jeans after the markup is applied as follows:
New cost = Markup price + Cost price
New cost = $15 + $75
New cost = $90.
In conclusion, we can logically deduce that new cost of the jeans after the markup is applied is 90 dollars.
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A classroom has a perimeter of 90 feet. What is the perimeter of the
classroom in yards?
270 yards
30 yards
300 yards
27 yards
4) If (6,4) and (3 ,m) are two perpendicular vectors, then m =
Answer:
Step-by-step explanation:
If two vectors are perpendicular to each other then their scalar(dot) product must be zero.
Therefore,
A
.
B
=0
(2
i
^
+2
j
^
+3
k
^
)⋅(3
i
^
+6
j
^
+n
k
^
)=0
6+12+3n=0
3n=−18
n=−6
Consider the función h(x)=2|x+4|-5
. Ed Naiman.
Installment loan of $2,500.00.
Finance charge of $193.25.
Requires 24 monthly payments.
What is the APR?
I
Answer:
M = (2500 + 193.25) / 24 = $113.03
We can use the monthly payment to calculate the finance charge over the life of the loan, which is equal to 24 times the monthly payment minus the principal amount:
Finance charge = 24 * M - 2500 = 24 * 113.03 - 2500 = 193.25
Now that we have the finance charge, we can calculate the APR:
APR = (Finance charge / Principal amount) * (12 / Number of months) * 100%
APR = (193.25 / 2500) * (12 / 24) * 100%
APR = 7.73%
So, the APR of this loan is 7.73%.
Help with geometry right triangles word problems
Avery and Mason are both swimming laps in the same swimming pool. Avery can swim 3 laps in 3 minutes. Mason can swim 5 laps in 4 minuets. Based on these rates, which of these statements is NOT true?
Answer:
Avery can swim 3 laps in 3 minutes.
According to the given rate the incorrect option is Mason can swim 0.5 lap farther than Avery in 2 minutes.
What is ratio?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
Given that, Avery can swim 3 laps in 2 minutes. Mason can swim 5 laps in 4 minuets.
Their unit rates are =
Avery = 1.5 laps per minute
Manson = 1.25 laps per minute
Now checking the options,
a) Avery can swim 6 laps in 4 minutes :-
6/4 = 1.5 [correct]
b) Mason can swim 2.5 laps in 2 minutes :-
2.5/2 = 1.25 [correct]
c) Avery can swim 2 laps farther than Mason in 8 minutes :-
Avery laps in 8 minutes = 1.5 × 8 = 12 laps
Mason laps in 8 minutes = 1.25 × 8 = 10 laps
Therefore, Avery is 2 laps farther than Mason [correct]
d) Mason can swim 0.5 lap farther than Avery in 2 minutes :-
Mason in 2 minutes = 1.25 × 2 = 2.5 laps
Avery laps in 2 minutes = 1.5 × 2 = 3 laps
Since, Avery laps are 0.5 farther than Mason, so the option is incorrect.
Hence, the incorrect option is Mason can swim 0.5 lap farther than Avery in 2 minutes.
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The complete question is;-
Avery and Mason are both swimming laps in the same swimming pool.
Avery can swim 3 laps in 2 minutes.
Mason can swim 5 laps in 4 minutes.
Based on these rates, which statement is NOT true?
a) Avery can swim 6 laps in 4 minutes.
b) Mason can swim 2.5 laps in 2 minutes.
c) Avery can swim 2 laps farther than Mason in 8 minutes.
d) Mason can swim 0.5 lap farther than Avery in 2 minutes.
How do you change mL to ounces?
Converting milliliters (mL) to ounces (oz) involves using a conversion factor. The conversion factor expresses the relationship between the two units of measurement and is given by 1 mL = 0.033814 oz
To convert milliliters (mL) to ounces (oz), you can use the following conversion factor:
1 mL = 0.033814 oz
This means that one milliliter is equivalent to 0.033814 ounces. To convert a given volume in milliliters to ounces, we can multiply that value by the conversion factor of 0.033814.
For example, let's say we want to convert 500 mL to ounces. We can do this by multiplying 500 mL by 0.033814 oz/mL:
500 mL x 0.033814 oz/mL = 16.907 oz
Therefore, 500 mL is equal to approximately 16.907 ounces.
Note that the conversion factor of 0.033814 is exact, meaning that it has an infinite number of decimal places. However, when we round off the final result, we should choose an appropriate number of decimal places based on the level of precision that we need for the particular application.
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