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
Darina [25.2K]
2 years ago
6

What is the measure of VKW?

Mathematics
1 answer:
MrRissso [65]2 years ago
6 0

Answer:

107

Step-by-step explanation:

5x + 3 + 7x + 9 = 180

12x + 12 = 180

12x = 168

x = 14

7(14) + 9 = 107

You might be interested in
Assume the average height for American women is 64 inches with a standard deviation of 2 inches. A sorority on campus wonders if
satela [25.4K]

Answer:

a) s = 0.4

b) Z = 2.5

c) 99th percentile.

d) The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume the average height for American women is 64 inches with a standard deviation of 2 inches

This means that \mu = 64, \sigma = 2

A) Calculate the standard error for the distribution of means.

Sample of 25 means that n = 25, so s = \frac{2}{\sqrt{25}} = 0.4.

B) Calculate the z statistic for the sorority group.

Sample mean of 65 means that X = 65.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{0.4}

Z = \frac{65 - 64}{0.4}

Z = 2.5

C) What is the approximate percentile for this sample? Enter as a whole number.

Z = 2.5 has a p-value of 0.9938, so 0.99*100 = 99th percentile.

D) If the sorority actually had 36 members (still with an average of 65 inches), would you expect the percentile value to increase or decrease? why?

The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%282%20-%206x%29%20-%204%28x%20%20%2B%20%20%5Cfrac%7B3%7D%7B2%7D%29%20
Art [367]

Answer:

x=-2

Step-by-step explanation:

1/2(2-6x)-4(x+3/2)=-(x-3)+4

(1-3x)-4x-6=-x+3+4

-7x-5=-x+7

Tranpose

-7x+x=5+7

-6x=12

Divide by -6

x=-2

4 0
3 years ago
Choose the algebraic expression that best represents the situation.
Igoryamba

Answer:

524 divided by n

524 ÷ n

524/n

5 0
3 years ago
Sin^22x - 2cos2x + 2=0
zhuklara [117]

Answer:

x=πn, n∈Z

Step-by-step explanation:

if sin²2x=1-cos²2x, then

1-cos²2x-2cos2x+2=0; ⇒ cos²2x+2cos2x-3=0; ⇔ (cos2x+3)(cos2x-1)=0;

\left[\begin{array}{cc}cos2x+3=0\\cos2x-1=0\\\end{array} \  \ \left[\begin{array}{cc}x \ 'does-not-exist'\\cos2x=1\\\end{array} \  \ 2x=2\pi n, n=Z \  x=\pi n, n=Z

5 0
2 years ago
To determine the organic material in a dried lake bed, the percent carbon by mass is measured at two different locations. In ord
Sedaia [141]

Answer:

F statistic = 11.3 ;

-1.02

Step-by-step explanation:

____Location1(%C) ____ Location2(%C)

1 ______ 10.40 _________ 10.10

2 _____ 10.20 _________ 10.90

3 ______10.30 _________ 10.20

4 ______10.40 _________ 10.70

5 ______10.20 _________ 10.40

F = larger sample variance / smaller sample variance

Using calculator :

Sample standard deviation (s)

s1² = 0.01

s2² = 0.113

F = s2² / s1²

F = 0.113 / 0.01

F = 11.3

Yes, the two standard deviations for the locations are significantly different at the 95% confidence level.

B.)

Tvalue

x1 = 10.3 ; x2 = 10.46

μ1 = 10.30 ; μ2 = 10.46

(10.30 - 10.46) / sqrt[(0.01/5) + (0.113/5)]

-0.16 / 0.1568438

-1.02

6 0
2 years ago
Other questions:
  • Explain how to use basic facts and number patterns to find 5,600 divide by 7
    11·2 answers
  • What does the graph show
    8·2 answers
  • PLEASE HELP!!! WILL GIVE BRANLIEST
    11·2 answers
  • Solve the equation x= [2/5] to the 3 power
    12·2 answers
  • John ran the 100-m dash with a time of 9.81 sec. if this pace could be maintained for an entire 26-mi marathon, what would his t
    8·1 answer
  • Examine the geometric relationships in the diagram below which option shows the correct value of x and y?
    12·1 answer
  • Cual es la raíz cuadarada de diez
    13·1 answer
  • Find all the zeros of f(x).<br> f(x) = 2x^3 + 7x^2 - 28x + 12
    10·1 answer
  • This scatter plot shows the relationship between the number of sweatshirts sold and the temperature outside.
    7·1 answer
  • Pls help, will give brainliest!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!