can you guys help me on this please
[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]
A random sample of elementary school children in New York state is to be selected to estimate the proportion p who have received a medical examination during the past year. An interval estimate of the proportion p with a margin of error of 0.06 0.06 and 99% 99 % confidence is required.
Answer:
The minimum sample size required is 461.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
An interval estimate of the proportion p with a margin of error of 0.06. What is the minimum sample size required?
The minimum sample size required is n, which is found when M = 0.06.
We don't have an estimate for the true proportion, which means that we use [tex]\pi = 0.5[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.06 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.06\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.06}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.06})^2[/tex]
[tex]n = 460.5[/tex]
Rounding up
The minimum sample size required is 461.
D. If the scale factor for the dilation of the figure is 0.9, then the dilation is an enlargement
Answer:
Option C.
Step-by-step explanation:
Suppose that we have a point (x, y)
If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:
(k*x, k*y)
If k > 1, we have an elargement.
if 0 < k < 1, we have the opposite case.
Now, suppose that one random vertex of the preimage is A (a, b)
Then after we do the dilation, the new coordinate of this vertex will be:
A' = (k*a, k*b) (this is, the original coordinates multiplied by the scale factor)
And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.
Then the correct option is C
a home mortgage for a home that costs $672096 with a 4% interest rate for 24 years. How much is the monthly payment for the mortgage with the interest?
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Answer:
$3633.96
Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
monthly payment for principal P at annual rate r for t years.
A = $672096(0.04/12)/(1 -(1 +0.04/12)^(-12·24)) = $3633.96
The monthly payment for the mortgage is $3633.96.
A jar contains black and white jelly beans. What is the probability of reaching into the jar and
selecting a black jelly bean?
Answer:
50% because there are only 2 colors
Step-by-step explanation:
Answer:50%
Step-by-step explanation:
The probability is 50% or 1/2 because there's only 2 types of jelly bean in the jar unless either one has more amount than the other's
Someone please help me answer this!!!
eAnswer:
B, C, E, F
Step-by-step explanation:
Quadrilateral WXYZ has a length of five, six, seven, and eight. A new quadrilateral is created, using a scale factor of 1.2. Which of the following are stylings of the new quadrilateral?
Choose all that apply:
10
8.4
9.6
6
7.2
5
PLEASE HELP I Got 5 minutes
Answer:
10
8.4
5
Step-by-step explanation:
whos ur celeb crush I need to know mines is the actor of wanda
Answer:
Same!!!!!!!!!!!
Step-by-step explanation:
Answer:
mines Matthew Mercer i dont know if he counts as a celeb cuz he is a famous voice actor
Max used a base ten blocks to solve the division problem 9.15 divided by 3.
Which set of blocks shows the quotient for 9.15 divided by3?
A. 3 Ones,5 Tenths,0 Hundredths
B. 5 ones, 0 tenths, 3 hundredths
C. 0 ones, 3 tenths, hundredths
D 3 ones, 0 tenths, 5 hundredths
Answer:
D 3 ones, 0 tenths, 5 hundredths
Step-by-step explanation:
9.15 divided by 3.
915/3 = 305
Then, moving the decimal point two units to the left, we have 3.05.
The last number before the decimal point is called ones, which means that we have 3 ones.
The first number after the decimal point is called tenths, which means that we have 0 tenths.
The second number after the decimal point is called hundredths, which means that we have 5 hundredths.
The correct answer is given by option D.
what is the answer for 1/3x+y=4 and if you use big ideas math program and you got the right answer lemme know
Answer:
x=-3y+12
Step-by-step explanation:
Yes.
Question 4
1p
Given the chart below, calculate the number of days one
could expect to have off due to hurricanes. Round to the nearest
day (enter your answer as a number only, you don't need to write "days" at the
end)
Number of Hurricane Days Each School Year
1
2
3
4
0
5
6
7
Days:
Chances of
having that
many days oft:
03
02
0.25
0.2
0.02
0.01
0.01
0.01
Answer:
2
Step-by-step explanation:
Given
See attachment for chart
Required
Number of off days
To do this, we simply calculate the expected value of the chart.
This is calculated as:
[tex]E(x) = \sum x * f[/tex]
Where
x = days
f = chances
So, we have:
[tex]E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3 * 0.2 + 4 * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01[/tex]
[tex]E(x) = 1.56[/tex]
[tex]E(x) \approx 2[/tex]
Two sides of a right triangle have lengths of 78 inches and 30 inches. The third side is not the hypotenuse. How long is the third side ?
Answer:
the answer is 72 inches
Step-by-step explanation:
a²+b²=c²
a²+900=6084
a²=5184
a=72
Help on this one please
Answer:
74.2
Step-by-step explanation:
First think of a whole circle. The area of a circle is pi*r^2., which is 81 pi. Then the fraction of the circle is 105/360. Times this by 81 pi and you get about 74.2 and that is the answer.
By the way, can you follow me? Thanks!
Krysta knit a total of 16 centimeters of scarf over 8 nights. How many nights will Krysta have
to spend knitting in order to knit a total of 46 centimeters of scarf? Assume the relationship is
directly proportional.
nights
Answer:
23 nights
Step-by-step explanation:
What does "Proportional" Mean? Proportional means that the ratio is the same throughout.
Step One: First, to set this up, we will put the 16 centimeters for the numerator and then the 8 nights on the bottom. The bottom is the independent variable because we can't physically change the number of nights. 16/8.
Step Two: Now, we have to scale this up to 46. Because the 46 is the centimeters, we have to do 46/16 to see how much we need to scale it by: 46/16= 2.875.
Step Three: Lastly, we can multiply 8 by 2.875 to see how many nights it took: 8 times 2.875 is 23 nights.
You invest $17,804 in a CD that has a 6.275% annual interest rate, compounded continuously. How much will you have in 25 years?Round to the nearest cent.
Answer:
R = 3.813% per year.
Step-by-step explanation:
A = Accrued amount (principal + interest) P = Principal amount r = Annual nominal interest rate as a decimal R = Annual nominal interest rate as a percent r = R/100 n = number of compounding periods per unit of time t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years. I = Interest amount ln = natural logarithm.Help me please ASAP I need help
Answer:
Are you looking for the perimeter? if so it would be 34 yards
Step-by-step explanation:
the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right isosceles triangles. find the lengths of the equal sides of each base.
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Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
Using the following data, calculate the mean absolute deviation: 7 2 8 5 9 9 5 6 8 1 What is the mean absolute deviation for these data? (4 points)
Answer:
The mean absolute deviation is 2. Hope this helps
Step-by-step explanation:
7+2+8+9+9+5+6+8+1=5.5
7-5.5=1.5
5.5-2=3.5
8-5.5=2.5
9-5.5=3.5
9-5.5=3.5
5.5-5=0.5
6-5.5=1.5
8-5.5 2.5
5.5-1=4.5
1.5+3.5+2.5+3.5+3.5+0.5+1.5+2.5+4.5=2
Answer is 2.
I hope this can help!
Have a nice day :)
~Amy
Translate the English expression into an equivalent mathematical expression, then simplify.
If a person earns $326 for working 40 hours, what is that person’s hourly wage?
draw the graph of the equation:
x+6y=0
please annotate a graph or say the coordinates (for ex: (0, 6))
Answer:
Step-by-step explanation:
Which of the following statements about opposites is true? Choose all correct answers.
A. The opposite of 5 is −5.
B. −(−8)=−8
C. The opposite of 0 is 0.
D. −(−2)=2
Answer:
A
Step-by-step explanation:
The sum of two numbers is 50. One number is 23 more than the other one. Find the numbers.
Terry buys an orange for 22p.
He pays with a £1 coin.
How much change does he get?
Give your answer in pence.
In a recent survey by the National Association of Colleges and Employers, the average starting salary for college graduate with a computer and information sciences degree was reported to be $62,194.40 You are planning to do a survey of starting salaries for recent computer science majors from your university. Using an estimated standard deviation of $11,605, what sample size do you need to have a margin of error equal to $5000 with 95% confidence
Answer:
A sample size of 21 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Using an estimated standard deviation of $11,605
This means that [tex]\sigma = 11605[/tex]
What sample size do you need to have a margin of error equal to $5000 with 95% confidence
A sample size of n is needed. n is found when M = 5000. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5000 = 1.96\frac{11605}{\sqrt{n}}[/tex]
[tex]5000\sqrt{n} = 1.96*11605[/tex]
[tex]\sqrt{n} = \frac{1.96*11605}{5000}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*11605}{5000})^2[/tex]
[tex]n = 20.69[/tex]
Rounding up,
A sample size of 21 is needed.
The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, most donations have come from relatively wealthy individuals; the average annual donor income in the most recent survey was right at $100,000. The foundation believes the average has now increased. A random sample of 200 current donors showed a mean annual income of $103,157 and a standard deviation of $27,498. To perform this study, we should form a null hypothesis stating that the average is
Answer:
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
Step-by-step explanation:
The claim is mostly treated as alternate hypothesis .
In this question the claim is given as the average annual donor income has increased therefore it is written as
Ha: u > 100,000
The null hypothesis is reverse of the alternate hypothesis
H0: u ≤ 100,000
The null hypothesis will be that the average annual donor income is less or equal to $ 100,000
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x2 − 7x + 300
The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
Based on the given information, determine which company has a lower minimum and find the minimum value.
f(x) at (1, 899.50)
g(x) at (70, 55)
f(x) at (70, 55)
g(x) at (1, 899.50)
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Answer:
(c) f(x) at (70, 55)
Step-by-step explanation:
The point (70, 55) is not on g(x), which increases from a minimum of 899.5. Obviously, 55 is less than 899.5, so f(x) at (70, 55) has a lower minimum.
Answer:
f(x) at (70, 55)
Step-by-step explanation:
I got it right on the test
A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.
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Answer:
see below
Step-by-step explanation:
Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...
(x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))
(x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)
__
It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.
Which of the following is the radical expression of2 times d to the seven tenths power? (2 points)
a
seventh root of 2 d to the tenth power
b
tenth root of 2 d to the seventh power
c
2 times the tenth root of d to the seventh power
d
2 times the seventh root of d to the tenth power
Question 8 of 10 This circle is centered at the origin, and the length of its radius is 3. What is the circle's equation?
Answer: is x^2 + y^2 = 100