Answers
Answer:
C
Step-by-step explanation:
Related Questions
Please solve! (best bet is to use paper)
Answers
6^2=36
So we get 1/36
Hope this helps
Myopia in children. Myopia, also called short-sightedness, is a common visual impairment that is reaching alarming proportions worldwide. The condition typically develops in school-age children and adolescents. It has long been thought that the condition was associated with too much reading, but recent evidence suggests instead that a lack of exposure to natural outdoor light may play a role. To investigate this new theory, researchers compared rates of myopia among randomly selected young children (6 and 7 years old) of Chinese ethnicity living in either Sydney (Australia) or Singapore. The researchers found that 4 of the 124 children in the Australian sample had myopia, compared with 183 among the 628 children from Singapore
Required:
a. Display the findings in a two-way table. What percent of the children in the study had myopia?
b. What is that percent among the children living in Australia and among those living in Singapore?
Answers
Answer:
a. percentage of children with myopia = 24.87%
b. 3.23% of children living in Australia have myopia
29.14% 0f children living in Singapore have myopia
Step-by-step explanation:
a.
the table is an attachment
percentage of children with myopia in this study
number of children with myopia in Australia = 4
number of children with myopia in Singapore = 183
total children with myopia = 4 + 183 = 187
total number of Australian children = 124
total number of Singapore children = 628
total number of children = 124 + 628 = 752
percentage with myopia = 187/752 * 100 = 24.87%
2.
percentage of Australian children with myopia
total children from Australia = 124
those with myopia = 4
percentage = 4/124 * 100 = 3.23% of children living in Australia have myopia
percentage of Singapore children with myopia
total number of children = 628
those with myopia = 183
percentage = 183/628 * 100 = 29.14% 0f children living in Singapore have myopia
Find the vertex of the parabola y=2x^2+10x+8
Answers
Answer:
Step-by-step explanation:
Put the equation into vertex form.
y = 2x² + 10x + 8
= 2(x² + 5x) + 8
= 2(x² + 5x + 2.5²) - 2·2.5² + 8
= 2(x+2.5)² - 4.5
vertex (-2.5, -4.5)
A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?
Answers
Answer:
286.94 cm
Step-by-step explanation:
Data:
Area = 8,607
b1 = 105
b2 = 123
Area = 1/2 * (b1 + b2) * h
h = 2 * Area/b1 + b2
h = 2 * 8,607/105 + 123
h = 286.94 cm
I'm not sure if it's right but that's what my calculator gave me.
you have an ant farm with 34 ants. the population of your ants will double every 3 months. the table shows the population growth of the ants over 9 months. decide whether the table represents a linear function or a nonlinear function. after one year how many ants will there be on the farm?
Answers
Dinner at chili's came to 27.00. You want to leave a tip of 15%,how much money will you leave for just the tip
Answers
Answer:
4.05 dollars
Step-by-step explanation:
4 dollars and 5 cents. 15 percent of 27 is 4.05
6
Solve the inequality. Graph the solution.
11.3 > b /4.3
The solution is
Answers
Step-by-step explanation:
Multiply to remove the fraction, then set equal to
0 and solve.
Inequality Form:
b<48.59
Interval Notation:
(−∞, 48.59)
The solution of the inequality 11.3 > b /4.3 is b< 48.59 along with the number line.
Given Inequality:
11.3 > b /4.3
To solve the inequality 11.3 > b / 4.3,
Multiply both sides of the inequality by 4.3 to eliminate the fraction:
11.3 * 4.3 > (b / 4.3) * 4.3
48.59 > b
The solution to the inequality is b < 48.59.
This means that any value of b that is less than 48.59 will satisfy the inequality.
To graph the solution, indicate that b is less than 48.59 by using an open circle at 48.59 and shading the line to the left of the open circle to represent all the values that satisfy the inequality.
Learn more about Inequality here:
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Which algebraic expression is a polynomial?
3m^2 n - 2m/n + 1/n
4m^3/n^2 - 3mn^5 + square root of 8
7mn + 3m/2 + 5n/4
Answers
Answer: The answer is 7mn+3m/2+5n/4
7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
A polynomial is an expression with variables and coefficients separated by addition and subtraction.
The following are used when determining if an expression is a polynomial:
i) Variables of a polynomial must not have negative exponent.
ii) Variables of a polynomial must not have fractional exponent.
iii) Dividing by an exponent is not allowed
iv) Exponent radicals are not allowed.
7mn + 3m/2 + 5n/4 is a polynomial because it has variables and seperated by operators addition and subtraction.
Hence, 7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
To learn more on Polynomials click:
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Sarah is solving for X by the process of completing the square for the following problem..
2x^2+16x-12=0
She got to this point below - type the number that goes in the (?) spot
(x+?)^2=22
Answers
Answer:4
Step-by-step explanation: Since she did it by completing the square, then you must do the same thing to get the same form so you can see what that number is.
So first subtract the constant which is -12 so we need to add twelve to get the constant on the other side. So we now have 2x^2+16x=12
The constant of the x^2 must be 1 so we need to divide by 2 on every term to get x^2+8x=12
So to make it so to get a perfect factor we need to divide the x factor by 2 so we get 4.
So the answer is 4 cause it is a perfect factor so were going to get 4 on both factors.
Answer:
4
Step-by-step explanation:
x²+2(x)(?)+?²=22
multiply by 2 because the coefficient of the higher degree in the first equation is 2
2x²+2(2(x)(?))+2(?²)-2(22)=0
2x²+4x(?)+2?²-44=0
Comparison
4x(?)=16x
?=4
2?²-44=-12
So, 2?²=-12+44
2?²=32
?²=16
?=4
Baby Zoe drinks a lot of milk. How many gallons are in 20 pints of milk? (1 gallon=4 quarts, 1 quart= 2 pints)
Answers
Answer:
there are 2.5 gallons in 20 pints of milk, or she drinks 2.5 gallons of milk
Step-by-step explanation:
If she drinks 20 pints of milk, you have to convert by dividing.
1 qt= 2 pints
20/2=10
20 pints = 10 quarts
Then, 1 gal = 4 qts
10/4= 2.5
So, there are 2.5 gallons in 20 pints of milk, or she drinks 2.5 gallons of milk.
Hope this helps!!
-Ketifa
(Can I get brainliest?)
Answer:
ehoif :)
Step-by-step explanation:
A survey was conducted on a college campus to determine what type of food students want in the dining halls. Out of 1200 students that completed the survey, 45% said that they wanted ice cream available. What is the margin of sampling error for the survey?
a. 0.149
b. 0.029
c. 0.450
d. 0.214
Answers
Answer:
The answer is b. 0.029
Step-by-step explanation:
Margin error for a sample size of 1200 is 2.9%.
The Margin error formula can be represented as:
[tex]z \times \: \sqrt{ \frac{p0(1 - po)}{n} } [/tex]
Where
z = critical value
n = sample size
[tex]p0 = sample \: proportion[/tex]
The hanger image below represents a balanced equation. Find the value of n that makes the equation true.
Answers
Answer:
6
Step-by-step explanation:
16=n +10
subtract 10 from both sides and your left with 6=n
A normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval. a. between 29 and 37 b. between 33 and 45 c. at least 29 d. at most 37
Answers
Answer:
a. 0.6826 = 68.26% probability that a randomly selected x-value from the distribution is between 29 and 37.
b. 0.4987 = 49.87% probability that a randomly selected x-value from the distribution is between 33 and 45.
c. 0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at least 29.
d. 0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at most 37.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A normal distribution has a mean of 33 and a standard deviation of 4.
This means that [tex]\mu = 33, \sigma = 4[/tex]
a. between 29 and 37
This is the pvalue of Z when X = 37 subtracted by the pvalue of Z when X = 29. So
X = 37
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37 - 33}{4}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 29
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 33}{4}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826 = 68.26% probability that a randomly selected x-value from the distribution is between 29 and 37.
b. between 33 and 45
pvalue of Z when X = 45 subtracted by the pvalue of Z when X = 33. So
X = 45
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 33}{4}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
X = 33
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 33}{4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.9987 - 0.5 = 0.4987
0.4987 = 49.87% probability that a randomly selected x-value from the distribution is between 33 and 45.
c. at least 29
This is 1 subtracted by the pvalue of Z when X = 29. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 33}{4}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at least 29.
d. at most 37
This is the pvalue of Z when X = 37. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37 - 33}{4}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
0.8413 = 84.13% probability that a randomly selected x-value from the distribution is at most 37.
Following are the solution to the given points:
Given:
[tex]\to Mean \ (\mu)= 33\\\\ \to \text{standard deviation}\ (\sigma) =4 \\\\[/tex]
To find:
find points=?
Solution:
For point a:
[tex]\to P (29 <x<37) = P(\frac{29-33}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{37-33}{4} )[/tex]
[tex]= P(\frac{-4}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{4}{4} )\\\\= P(-1 \leq z \leq 1 )\\\\= P(-1 < z <1 )\\\\= P(Z <+1) - P(Z <-1) \\\\=0.84134 - 0.15866\\\\= 0.68268 \\\\=68.268\%[/tex]
For point b:
[tex]\to P (33 <x<45) = P(\frac{33-33}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{45-33}{4} )[/tex]
[tex]= P(\frac{0}{4} \leq \frac{X-\mu}{\sigma} \leq \frac{12}{4} )\\\\= P(\frac{0}{4} \leq \frac{X-\mu}{\sigma} \leq 3 )\\\\= P(-2< z< 0)\\\\= P(Z <-2) - P(Z <0) \\\\=0.9987-0.5 \\\\= 0.4987\\\\= 49.87\%[/tex]
For point c:
When X = 29, subtract by 1 from the p-value of Z.
Using formula:
[tex]\to Z = \frac{X -\mu}{\sigma}\\\\[/tex]
[tex]=\frac{29-33}{4} \\\\ =\frac{-4}{4} \\\\= -1 \\\\=1 - 0.1587 \\\\= 0.8413 \\\\= 84.13\%[/tex]
For point d:
[tex]\to Z = \frac{X -\mu}{\sigma}\\\\[/tex]
[tex]= \frac{37-33}{4}\\\\ =1\\\\ =\text{1 has a p-value of}\ 0.8413\\\\=0.8413 \\\\= 84.13\%[/tex]
So, the answer is " 68.268%,49.87%, and 84.13%"
Learn more about the normal distribution:
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Question 1 (1 point) What is the volume of the square-based pyramid shown below? 12 in. A. 96 cu in. B. 384 cu in. C. 256 cu in. D. 768 cu in.
Answers
Area of square pyramid:
⅓×[base area]×height
according to the question
⅓×[8×8]×12
simplify parentheses:
⅓×64×12
Simplify fraction
64×4
Simplify multiplication
256
256 did the test on k12 Answer:
c
Step-by-step explanation:
the area of the square is 25 inches what is the measure on one side of the square??
Answers
Answer:
5
Step-by-step explanation:
area of a square= side x side
[tex]\sqrt{25}[/tex] = 5
Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 6 + 2x2 + 2y2 and the plane z = 12 in the first octant
Answers
Answer:
[tex]\frac{9\pi }{4}[/tex]
Step-by-step explanation:
Paraboloid z = 6 + 2x^2 + 2y^2 ----- ( 1 )
plane z = 12
equation 1 becomes
12 = 6 + 2( x^2 + y^2 )
hence : ( x^2 + y^2 ) = 3
This shows that the solid lies under the parabolic and above the disk 0 : x^2 + y^2 ≤ 3
attached below is the remaining part of the solution
Helppp pleaseeee which one
Answers
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3
Andre and Elena knew that after 28 days they would have 228 coins, but they wanted to find out how many coins that actually is. Andre wrote:
228=2⋅28=56
Elena said, “No, exponents mean repeated multiplication. It should be 28⋅28, which works out to be 784.” Do you agree with either of them? Explain your reasoning.
Answers
Answer:
no, exponents are how many times the base is used, it would be 2x2x2... so on until there are 28 2s
Step-by-step explanation:
What is the range of the following data set?
{2, 9,5, 4, 7, 8}
Answers
Answer:
7
Step-by-step explanation:
The range is the distance between the largest and smallest number. So 9-2=7
Hope this helped!
Answer: 9-2=7
Step-by-step explanation:Range is the highest value minus the lowest value in the data set.
Find the circumference of a quarter of the circle (radius = 6)
Answers
Answer:
rajjsjdjdjxkkdkdkdkkdjxjjdjxjckfkjdjfuidid
A woman walks at a constant speed of 4.5 km per hr.How long will it take her to walk 10 km. using formula d=St how many hours and minutes
Answers
Answer:
1 hour and about 15 minutes.
Step-by-step explanation:
because in an hour she walks 4.5 km. and 4.5•2=9 so just another km will be 10 so estimatly it'll be 1 hour and 15 minutes
2 hours 13 minutes 20 seconds
A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?
Answers
Answer:
Step-by-step explanation:
if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,
the sale price was
(17,500*100)/0.07=250,000
Using the diagram below, calculate the value of x
Answers
Answer:
51°
Step-by-step explanation:
35°+(2x+16)°+(4x+3)°=360°
54°+6x=360°
6x=360°-54°
6x=306°
x=306°/6
x=51°
Please find the area
Answers
Answer:
b
Step-by-step explanation:
Area of parallelogram = Area of 2 small triangles
Therefore,
[tex]2( \frac{1}{2} \times 15.1 \times 7) = 105.7 {ft}^{2} [/tex]
3/4x 2 1/3 what is the answer to this question
Answers
Answer:
1.75
Step-by-step explanation:
nsjdjdjdjdjndnsjdjdjjddbjdjsjsj its 1.75
Answer:
7/4
Step-by-step explanation:
3/4 * 2 1/3 = 7/4
Hope this helps =]
Only answer if you know!!!- Which phrase is represented by the expression - 8n? (1 point)
negative 8 more than a number
8 less than a number
negative 8 times a number
O a number divided by negative 8
Answers
Answer:
negative 8 times a number is the desired answer to this mathematical problem about algebra.
(-4.2)²×..........=-132.3
Answers
Answer:
-7.5
Step-by-step explanation:
-4.2×-4.2 = 17.64
-132.3/17.64= -7.5
Find the slope of a line that passes through the following points (3,2) (5,-3)
A. 2/5
B. 5/8
C. -5/2
B. -5/8
Answers
Answer:
C
Step-by-step explanation:
Use the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-3 - 2) / (5 - 3)
m = -5/2
xyz company's cost function for four months is c=500000+5q
find the break even dollar volume of sales if the selling price is 6 unit
Answers
The break even of a company is when cost equals selling function. The break even of xyz company is 500000 units.
Given that:
[tex]c=500000+5q[/tex] --- cost function
[tex]s = 6q[/tex] --- selling function
The break even is when the functions are equal
i.e.
[tex]s = q[/tex]
So, we have:
[tex]6q=500000+5q[/tex]
Collect like terms
[tex]6q - 5q=500000[/tex]
[tex]q=500000[/tex]
The break even is at 500000 units
Read more about break even at:
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The rate of change of y is proportional to y. When t=0, y=4, and when t=2, y=8. What is the value of y when t=3?
Answers
Answer:
When t = 3, y = 12. y = 4t, for t>0
Step-by-step explanation:
8 = 4 x 2; y = 4 x 3 = 12.