1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ipatiy [6.2K]
3 years ago
6

Aidan is 68 inches tall. The average height of students in his class is 65 inches with a standard deviation of 3.6 inches. What

is the z-score for Aidan’s height?
Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0

<span>Aidan is 3 inches above average. A z-score of 1.0 would refer to someone exactly 1 standard deviation above average, or 3.6 inches above average, or 68.6 inches tall. A z-score of 0.0 would refer to someone exactly average. What proportion of 3.6 is 3.0? That will be your z-score</span>
You might be interested in
Experts please please PLEASE answer this question ASAP! Due today.
quester [9]

The height of the given trapezoid is 7.5 m.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.

The trapezoid's area, A = \frac{b_{1}+b_{2}}{2} (h).

Here b_{1} is the lower base length and b_{2} is the upper base length while h is the height.

Step 2:

In the given problem, b_{1}=5 \mathrm{m} and b_{2}=3 \mathrm{m}. Assume the height is h m.

The trapezoid's area = 30.

30 = \frac{5+3}{2} (h), 30 = (4)(h).

h = \frac{30}{4} = 7.5.

So the height of the given trapezoid is 7.5 m.

8 0
3 years ago
A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the
EastWind [94]

Answer:

a) \hat p=\frac{471}{1024}=0.460

The standard error is given by:

SE= \sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0156

And the margin of error is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}=1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0305

b) The 99% confidence interval would be given by (0.429;0.491)

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Data given and notation  

n=1024 represent the random sample taken    

X=471 represent the people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

\hat p=\frac{471}{1024}=0.460 estimated proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering    

p= population proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

Part a

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

The standard error is given by:

SE= \sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0156

And the margin of error is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}=1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0305

Part b

If we replace the values obtained we got:

0.460-1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.429

0.460+1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.491

The 99% confidence interval would be given by (0.429;0.491)

8 0
3 years ago
A 30- foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21 feet, how far is t
Yanka [14]
Oh, well if it isn’t slope! I used to do this don’t cheat kiddo figure it out
5 0
3 years ago
11. Mis the midpoint of QR. Q is at (-8, 2) and M is at (4, -3). Find the coordinates of the endpoint R.​
tamaranim1 [39]

Answer:

R(16,-8)

Step-by-step explanation:

if (x1,y1) and (x2,y2) are coordinates of two points and (x,y) the coordinate of midpoint.

then x=(x1+x2)/2

and y=(y1+y2)/2

let coordinates of R are (x,y)

4=(-8+x)/2

8=-8+x

x=8+8=16

-3=(2+y)/2

-6=2+y

y=-6-2=-8

so R is (16,-8)

8 0
3 years ago
Find the values of x and y using the figure below. Round your answer to the nearest integer.
11111nata11111 [884]

Answer:

x = 11

y = 17

Step-by-step explanation:

5y and (7y - 34) are vertical angles which means they're equal to each other:

5y = 7y - 34

5y - 7y = -34

-2y = -34

y = 17

(8x + 7) and (9x - 4) are also vertical angles:

8x + 7 = 9x - 4

8x - 9x = -4 - 7

-x = -11

x = 11

5 0
3 years ago
Other questions:
  • What is the volume of a sphere if it's greater circle has an area of 9pi cm?
    12·1 answer
  • How to change a mixed number
    12·1 answer
  • What is the multiplicative inverse of 4/1x
    13·1 answer
  • X+3y=28 when x =28 find the value for y plz help
    10·1 answer
  • Multiply the polynomials 3(x+7) (show work pls)
    6·1 answer
  • If every 1,000 views is 2 cents how much would I have if it was 100,000 views
    14·1 answer
  • PLS HELP ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
    9·2 answers
  • Parallelogram is 42squared height is 7m whats the base
    9·2 answers
  • Factorise 5x+10x(b+c)
    7·1 answer
  • A video posted on the internet is becoming very popular, and the total number of views is increasing by 20% every hour. If the v
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!