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
Vinvika [58]
3 years ago
11

Find the measure of each numbered angle. NEED HELP NOW

Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0

Answer:

<em>m</em>∠1 = 58°

<em>m</em>∠2 = 58°

<em>m</em>∠3 = 72°

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180°. The vertical angles at Point Z are congruent and therefore their measures are equal.

You might be interested in
In tests of a computer component, it is found that the mean time between failures is 937 hours. A modification is made which is
VladimirAG [237]

Answer:

Null hypothesis is \mathbf {H_o: \mu > 937}

Alternative hypothesis is \mathbf {H_a: \mu < 937}

Test Statistics z = 2.65

CONCLUSION:

Since test statistics is greater than  critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

P- value = 0.004025

Step-by-step explanation:

Given that:

Mean \overline x = 960 hours

Sample size n = 36

Mean population \mu = 937

Standard deviation \sigma = 52

Given that the mean  time between failures is 937 hours. The objective is to determine if the mean time between failures is greater than 937 hours

Null hypothesis is \mathbf {H_o: \mu > 937}

Alternative hypothesis is \mathbf {H_a: \mu < 937}

Degree of freedom = n-1

Degree of freedom = 36-1

Degree of freedom = 35

The level of significance ∝ = 0.01

SInce the degree of freedom is 35 and the level of significance ∝ = 0.01;

from t-table t(0.99,35), the critical value = 2.438

The test statistics is :

Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}

Z = \dfrac{960-937 }{\dfrac{52}{\sqrt{36}}}

Z = \dfrac{23}{8.66}

Z = 2.65

The decision rule is to reject null hypothesis   if  test statistics is greater than  critical value.

CONCLUSION:

Since test statistics is greater than  critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

The P-value can be calculated as follows:

find P(z < - 2.65) from normal distribution tables

= 1 - P (z ≤ 2.65)

= 1 - 0.995975     (using the Excel Function: =NORMDIST(z))

= 0.004025

6 0
3 years ago
An angle passes through the point (-7,-5). What is the compass heading of this angle?
umka21 [38]
To find the angle use arc tan (-5/-7) which simplifies tips arctan(5/7). arc tan is tan to the power -1, which is also called inverse tan. The heading of the angle, if you drew this out on a graph your angle would be in the third quadrant and therefore the heading is south of west.
3 0
2 years ago
X-3 = 4 pls help<br> And thanks :)
Naya [18.7K]
X=7

add 3 to both sides.
hope this helps!
6 0
3 years ago
A shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02,
worty [1.4K]

Answer:

0.950796

Step-by-step explanation:

Given that a shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02, respectively.

Required probability =  the probability for the shuttle to be launched on time

= Probability that all three do not fail

Since each key device is independent of the other

we have

prob that all three do not fail = (1-0.01)(1-0.02)(1-0.02)\\=0.99*0.98*0.98\\=0.950796

6 0
2 years ago
What is the single rational number for -14+(-8/9)
AlladinOne [14]

-14 + (8/9)

(-126 - 8)/9

= -134/9

3 0
3 years ago
Other questions:
  • Look at the figure. Name the postulate or theorem you can use to prove the triangles congruent.
    6·1 answer
  • 9 1/9 X 1 2/7<br> Please help me. <br> Thank you!!!!!
    5·2 answers
  • Item 8 A store hands out 900 reward cards. Customers scan their cards in the store to find out what reward they receive. The pro
    14·2 answers
  • Each bag of birdseed holds 36 cups. Amy feeds the parakeets at a pet shop 4 cups each day. If b represents the number of bags us
    14·1 answer
  • Which ordered pairs are solutions to the inequality y - 3.x &lt; 10 ?
    14·1 answer
  • Max bought tools costing $75. He made a $30 down payment and plans to pay off The rest of the money and five monthly installs ho
    9·1 answer
  • I need help with the answer and also the formula you used to find the answer
    8·1 answer
  • Dave wants to build a rectangular screened-in porch that is 20 feet long, and it will extend 6 feet out from the backside of his
    5·1 answer
  • When a figure is translated, reflected, or rotated, what's the same about the original
    15·2 answers
  • Find the value of x. Write your answer in simplest form.<br><br><br><br> x =
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!