Answer:
1:4
Step-by-step explanation:
To represent 14:56 as a simplified ratio, we need to reduce it by finding the GCF (greatest common factor) and dividing it by both terms.
The GCF of 14 & 56 is 14.
14 / 14 = 1
56 / 14 = 4
Thus we are left with our new simplified ratio, 1:4.
can you help me solve for x
Answer:
x = √80
Step-by-step explanation:
Let's find the hypotenuse of the top side triangle.
Using the Pyth. Theorem:
Let y be the hypotenuse of the top side triangle:
2^2 + 4^2 = y^2
y = √20
Now, the rectangle facing us is formed by two indentical triangles, therefore the bottom side of the triangle is also y = √20 .
Using the Pyth.Theorem again, we can find x:
x^2 + (√20)^2 = 10^2
x = √80 .
Find the value of xx, yy, and zz in the parallelogram below.
Answer:
Step-by-step explanation:
Hi please help no links and no fake answers please!
answer: the student made an error. The first factor, 9, was distributed to only one of the terms inside the parentheses
which statement best describes the set 14 16 18 20 22
Answer:
They are adding 2 by each number.
A set of numbers is a group of numbers that are related in one way or the other. The statement that best describes the set is:
The set of even numbers from 14 to 22
Given that:
[tex]Set = 14\ 16\ 18\ 20\ 22[/tex]
From the above set of numbers, we have the following observations
All numbers are evenThe difference between consecutive numbers is 2So, we can describe the set using the following statement:
The set of even numbers from 14 to 22
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-3 1/2 - [-12 1/4]...............................................
Answer:
8.75
Step-by-step explanation:
Answer:
8 3/4
Step-by-step explanation:
What is the mode for this set of data? 34, 36, 56, 58, 58, 58, 61, 62, 62
Answer:
52
Step-by-step explanation:
Mode is the number that appears the most in the set of data, so we would need to find the number that occurs the most. In this case, it's 52.
Answer:
Your answer whould be 58
Step-by-step explanation:
exmple 67,67,78,78,67,43,34,12, the mobe is 67
Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains calories, and the standard deviation in caloric content of the chicken breast population is calories. Rosters wants to design an -chart to monitor the caloric content of chicken breasts, where chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? Upper Control Limit () nothing calories (enter your response as an integer).
Correct question is;
Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).
Answer:
A)UCL = 466
LCL = 434
B)UCL = 462
LCL = 438
Step-by-step explanation:
We are given;
Mean;μ = 450
Standard deviation; σ = 20
Sample size; n = 25
A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.
Thus, upper control limit will be the formula;
UCL = μ + 4σ/√n
UCL = 450 + 4(20)/√25
UCL = 450 + 16
UCL = 466
Lower control limit will be;
LCL = μ - 4σ/√n
LCL = 450 - 4(20)/√25
LCL = 450 - 16
LCL = 434
B) We are now told that these limits are chosen to be three standard deviations from the target.
Thus, z = 3
So;
UCL = μ + 3σ/√n
UCL = 450 + 3(20)/√25
UCL = 450 + 12
UCL = 462
Lower control limit will be;
LCL = μ - 3σ/√n
LCL = 450 - 3(20)/√25
LCL = 450 - 12
LCL = 438
these numbers form an addition and subtraction fact family 6,7,13 choose the fact family formed by these numbers what is the answer
Answer:
6-13=7 , 7-13=6
6+1=7,7-1=6,
Step-by-step explanation:
Find the area of the parallelogram ABCD
А
B
12 cm
-10 cm-
C
D
-30 cm
Answer:
I think it is 3600
Step-by-step explanation:
what lines represent parallel to y=6x+2
Answer:
g
Step-by-step explanation:
(6x-1) = (5x+28)
X=?
Answer:
x = 29
Step-by-step explanation:
(6x-1) = (5x+28)
or, 6x-1 = 5x+28
or, 6x-5x = 28+1
or, x = 29
What is 3/5×6/5. Move the numbers to the boxes to show answer. If there is no whole number ,put a 0 in the box
Answer:
72/100
Step-by-step explanation:
hope this helps!
Answer:
18/25
Step-by-step explanation:
Which of the following correctly simplifies the expression (2².60) ? ² t 79 32 343 0() 이 - 야 (4) 2².0 2²1 77 64 343 2.0 = 0 78
Answer:
hello
[( 2 ² * 6 ⁰ ) / 7 ] ³
= ( 2 ⁶ * 1 ³) / 7 ³
= ( 64 *1 ) / 343
= 64/343
Step-by-step explanation:
Which equation calculates the number of 1/8-foot pieces you can cut from 5 feet of ribbon?
Simplify to create an equivalent expression.
8-4(-x+5)
Thank you!
Help math math ASAP ASAP
Answer:
[tex]\displaystyle y + 2 = 4(x + 1)[/tex]
Step-by-step explanation:
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so 4 remains as is as you proceed with plugging the information into the Point-Slope Formula:
[tex]\displaystyle [-1, -2] \\ \\ \boxed{y + 2 = 4(x + 1)}[/tex]
**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.
I am joyous to assist you at any time.
2.8x = -9.24
A. 12.04
B. -0.3030
C. -3.3
D. 12.04
Please helppp
Answer:
Choice c, 3.3
Step-by-step explanation:
To find out the vaule of X, we have to divided -9.24 by 2.8. We have to divided because when X and next to a number, it means to multiply, and the opposite of multiplication is division. To double check to determine whether or not the answer is correct, simply multiply -3.3 by 2.8 and you will get -9.24.
The student body of 24 students
wants to elect a president, minister
of Arts, minister of PE department,
and minister of Science. How many
different arrangements are there?
There are 10,626 ways of arranging the required offices from a body of 24 students.
What is combination?
Combination deals with the way in which a arrangement can be made from a particular lot. In this case, we want to select a president, minister of Arts, minister of PE department, and minister of Science from a body of 24 students.
Hence;
24C4 = 24!/4! (24 - 4)! = 24!/4!20!
So;
24 * 23 * 22 * 21 * 20!/20! * 4 * 3 * 2*1
= 24 * 23 * 22 * 21 / 4 * 3 * 2*1
= 10,626 ways
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Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much of this money is put into a fund called an endowment, and the college spends only the interest earned by the fund. A recent survey of 8 private colleges in the United States revealed the following endowments (in millions of dollars): 60.2, 47.0, 235.1, 490.0, 122.6, 177.5, 95.4, and 220.0. Summary statistics yield 180.975 and s143.042. Calculate a 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments. Round to three decimal places.
Answer:
The 95% confidence interval [tex] 81.852 < \mu < 280.098 [/tex]
Step-by-step explanation:
From the question we are told that
The sample mean is [tex]\= x = 180.975[/tex]
The standard deviation is [tex]\sigma = 143.042[/tex]
The sample size is n = 8
Given that the confidence level is 95% then the level of significance is
[tex]\alpha =( 100- 95) \%[/tex]
=> [tex]\alpha =0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{ 143.042 }{\sqrt{8} }[/tex]
=> [tex]E = 99.123 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]180.975 -99.123 < p < 180.975 +99.123[/tex]
=> [tex] 81.852 < \mu < 280.098 [/tex]
Using the t-distribution, it is found that the 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).
The information given is:
Sample mean of [tex]\overline{x} = 180.975[/tex].Sample standard deviation of [tex]s = 143.042[/tex]Sample size of [tex]n = 8[/tex].We have the standard deviation for the sample, hence, the t-distribution is used.
The interval is given by:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The critical value for a two-tailed 95% confidence interval with 8 - 1 = 7 df is t = 2.3646.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 180.975 - 2.3646\frac{143.042}{\sqrt{8}} = 61.39[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 180.975 + 2.3646\frac{143.042}{\sqrt{8}} = 300.56[/tex]
The 95% confidence interval for the mean endowment of all the private colleges in the United States assuming a normal distribution for the endowments, in millions of dollars, is (61.39, 300.56).
To learn more about the t-distribution, you can take a look at https://brainly.com/question/25077184
What is the total area, in square meters, of the shaded sections of the trapezoid below?
Answer:
56.16 sqm
Step-by-step explanation:
Area of triangle = 0.5 * base * height
= (0.5 * 7 * 7.2) + (0.5 * 8.6 * 7.2)
= (25.2) + (30.96)
= 56.16
If we consider the simple random sampling process as an experiment, the sample mean is a. a random variable. b. always zero. c. exactly equal to the population mean. d. always smaller than the population mean.
The sample mean is an estimate of the population mean.
The sample mean is exactly equal to the population mean
How to determine the true statement
When the population mean is known; the value of the population mean can be used as the sample mean.
This is so because:
The sample mean is an estimate of the population mean.
And it is represented as:
[tex]\bar x = \mu[/tex]
Hence, the true statement is that the sample mean is exactly equal to the population mean
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19.) Vernon has a bank account balance of $24.70, and then deposits $30 into his account. What is
his new balance after the deposit?
-24.7+30=5.3
his new balance is 5.3
Answer:
$54.70
Step-by-step explanation:
take $24.70 and add $30 to it and $24.70+$30=$54.70
The table shows several points for function h(x). A 2-column table with 6 rows. Column 1 is labeled x with entries 0, 3, 6, 9, 12, 15. Column 2 is labeled h (X) with entries 1, 6, 12, 2, 8, 9. Which point is on the graph of the inverse function h–1(x)? (0, 1) (6, 3) (9, –15) (12, –8)
Answer:
B
Step-by-step explanation:
Ed2021
Pls help there will be pic if u click
Answer:
$6.30
Step-by-step explanation:
A sharpener is 0.90 in dollars, so 3*0.9 is 2.7. 10-2.7=6.3, so the answer should be $6.30
Find the solution set to the following equation. Answer only in numbers.
x^2+ 8x = 0
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x^2 + 8x = 0}\\\larg\text{Firstly: FACTOR the LEFT SIDE of the equation}\\\mathsf{\rightarrow x(x + 8) = 0}\\\large\text{Secondly: SET the FACTORS to equal to 0}\\\mathsf{\rightarrow x \approx 0\ or \ x + 8 = 0}\\\large\text{Thirdly: SIMPLIFY}\\\mathsf{\rightarrow x = 0\ or \ x = -8}\\\huge\text{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = -8}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]How many 1/4 cup servings are in 3 cups of chololate?
Answer:
The answer is 12. In 3 cups of chocolate, there are 12 1/4 cup in them.
Step-by-step explanation:
each 1 cup had four 1/4 cup in them. So 4 times 3 cups is 12.
There are 12 servings of 1/4 cup in 3 cups of chocolate.
The term "serving" typically refers to a specified portion or amount of food or drink that is recommended or commonly consumed at one time. It helps in providing a standard measurement for nutritional information and portion control.
To determine the number of 1/4 cup servings in 3 cups of chocolate, we need to calculate the total number of 1/4 cup servings that can be made from the given amount.
1. One cup is equal to 4 quarters (1 cup = 4 × 1/4 cup).
2. To find the number of 1/4 cup servings in 3 cups, multiply 3 cups by the conversion factor (4 × 1/4 cup) for each cup.
3 cups × (4 × 1/4 cup) = 3 cups × 1 cup = 3 cups
Therefore, there are 3 * 4 = 12 servings of 1/4 cup in 3 cups of chocolate.
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If three angles of a triangle are "(3x - 2) degrees, (8x - 5) degrees, and (7x+7) degrees", then what does "x" equal?
Answer:
10
Step-by-step explanation:
The sum of the measures of the angles of a triangle.is 180 degrees, so:
3x-2+8x-5+7x+7=180
18x=180
x=10
Sam gets paid a set rate in his allowance for making his bed every morning. His rate is $0.50 earned for every morning that he makes his bed.
Let n represent the number of days Sam makes his bed.
Let t represent the total amount earned, in dollars.
Which graph shows the amount of money that Sam earned when he made his bed over the course of 8 days?
Answer:
bottom graph of left picture
Step-by-step explanation:
For each day he makes his bed, he earns $0.50
In 1 day he earns $0.50
In 2 days he earns $1.00
In 3 days, he earns $1.50
...
In 8 days, he earns $4.00
Look in the 4 graphs.
Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?
It is the second graph (bottom graph of left picture.)
Question 1 of 15
Ahana swims laps on Tuesday and Thursday mornings. On
Thursday she swims 1 more than twice the number of laps
she swam on Tuesday.
If x represents the number of laps that Ahana swam on Tuesday, select the
expression that represents the total number of laps she swam on Tuesday
and Thursday
O A. 2x + 1
B. 3x + 1
O C. 2x + 2
O D. 3x - 1
Answer:
3x + 1
Step-by-step explanation:
A grocery store sells four different sizes of a popular brand of corn flakes. For the past few years the proportion of boxes they sell of each size has been quite stable: 10% Small, 15% Medium, 60% Large, and 15% Jumbo. They decide to change the pricing of the four sizes and want to see if this changes the proportion of boxes they sell of each size. To test this, a few weeks after changing the prices they take a simple random sample of 120 transactions involving corn flakes and count how many boxes of each size were sold. Here are the results:
Observed number of boxes sold for each box size
Small Medium Large Jumbo
8 24 61 27
Required:
a. We wish to carry out a test of significance to see if the distribution of sizes of cereal boxes soldhas changed. State the null and alternative hypotheses for this test.
b. Find the expected counts for each size box under the assumption that the null hypothesis is true.
The sale of the four different sizes is an illustration of the Goodness of Fit Tests
The expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively
The null and the alternate hypothesesThe null hypothesis is always represented by the equality sign i.e. 0 change or no change.
While the alternate hypothesis is always represented by an inequality.
So, the null and the alternate hypotheses are:
Null hypothesis; H0 : The distribution of sizes of all boxes sold of this brand of cereal did not change when the prices changed.Alternate hypothesis; Ha: The distribution of sizes of all boxes sold of this brand of cereal changed when the prices changed.The expected counts for each size boxThis calculated as:
E(x) = np
So, we have:
Small = 8 * 10% = 0.8
Medium = 24 * 15% = 3.6
Large = 61 * 60% = 36.6
Jumbo = 27 * 15% = 4.05
Hence, the expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively
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