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
sertanlavr [38]
2 years ago
13

Find x, y, and z.

Mathematics
1 answer:
earnstyle [38]2 years ago
5 0

Answer:

x=4.5,y=5,z=9

Step-by-step explanation:

First, we use the pythagorean theorem in the lower right triangle (with sides 4,x,6) and find x^2+4^2=6^2 and therefore x^2=6^2-4^2=20 so x=√20 which is approximately 4.5.

Also, we can see from the picture that z=y+4, and therefore the only option left is x=4.5,y=5,z=9.

You might be interested in
Which numbers are solutions of the inequality? Choose all that apply.
Nady [450]
Can you post the answer choices please ??
4 0
2 years ago
Read 2 more answers
5.7 as a mixed number in simplist form
Sveta_85 [38]
5.7 is 5 7/10 and it cannot be simplified
6 0
2 years ago
Read 2 more answers
A study of long-distance phone calls made from General Electric's corporate headquarters in Fairfield, Connecticut, revealed the
Jet001 [13]

Answer:

a) 0.4332 = 43.32% of the calls last between 3.6 and 4.2 minutes

b) 0.0668 = 6.68% of the calls last more than 4.2 minutes

c) 0.0666 = 6.66% of the calls last between 4.2 and 5 minutes

d) 0.9330 = 93.30% of the calls last between 3 and 5 minutes

e) They last at least 4.3 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 3.6, \sigma = 0.4

(a) What fraction of the calls last between 3.6 and 4.2 minutes?

This is the pvalue of Z when X = 4.2 subtracted by the pvalue of Z when X = 3.6.

X = 4.2

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

Z = \frac{4.2 - 3.6}{0.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

X = 3.6

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

Z = \frac{3.6 - 3.6}{0.4}

Z = 0

Z = 0 has a pvalue of 0.5

0.9332 - 0.5 = 0.4332

0.4332 = 43.32% of the calls last between 3.6 and 4.2 minutes

(b) What fraction of the calls last more than 4.2 minutes?

This is 1 subtracted by the pvalue of Z when X = 4.2. So

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

Z = \frac{4.2 - 3.6}{0.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% of the calls last more than 4.2 minutes

(c) What fraction of the calls last between 4.2 and 5 minutes?

This is the pvalue of Z when X = 5 subtracted by the pvalue of Z when X = 4.2. So

X = 5

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

Z = \frac{5 - 3.6}{0.4}

Z = 3.5

Z = 3.5 has a pvalue of 0.9998

X = 4.2

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

Z = \frac{4.2 - 3.6}{0.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

0.9998 - 0.9332 = 0.0666

0.0666 = 6.66% of the calls last between 4.2 and 5 minutes

(d) What fraction of the calls last between 3 and 5 minutes?

This is the pvalue of Z when X = 5 subtracted by the pvalue of Z when X = 3.

X = 5

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

Z = \frac{5 - 3.6}{0.4}

Z = 3.5

Z = 3.5 has a pvalue of 0.9998

X = 3

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

Z = \frac{3 - 3.6}{0.4}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.9998 - 0.0668 = 0.9330

0.9330 = 93.30% of the calls last between 3 and 5 minutes

(e) As part of her report to the president, the director of communications would like to report the length of the longest (in duration) 4% of the calls. What is this time?

At least X minutes

X is the 100-4 = 96th percentile, which is found when Z has a pvalue of 0.96. So X when Z = 1.75.

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

1.75 = \frac{X - 3.6}{0.4}

X - 3.6 = 0.4*1.75

X = 4.3

They last at least 4.3 minutes

7 0
3 years ago
Which vanable expression represents the word phrase?
Artyom0805 [142]
Try the first one, it looks right since it’s all in sequenced right
5 0
2 years ago
6-a/a+5 =
Anni [7]
<span>d) (6-a) divide (a+5) </span>
7 0
2 years ago
Other questions:
  • How many different groups of 35 cars can be formed from 40 cars?
    5·2 answers
  • Write a TRUE statement using the words acute angle and regular octagan.<br><br> THANK YOU!!
    5·2 answers
  • Please answer 1-3 I need help
    7·1 answer
  • IT IS DUE AT 11:59PM. PLEASE HELP!!!!
    14·2 answers
  • Sam has 36 pieces left to complete a puzzle. He has already put together 414 pieces. How many pieces p are in the puzzle? Write
    15·2 answers
  • Brian is wrapping a present. If his box is in the shape of a cube with a side length of 7 inches, what is the minimum amount of
    9·1 answer
  • The table shows a pattern of exponents.
    11·1 answer
  • Rectangle ABCD, A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 5), B(7,5),
    15·1 answer
  • A random sample of 5 weeks showed that a course agency received the fill numbers of weekly special to the Caribbean
    10·1 answer
  • I have a question? can yall answer it please
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!