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andreyandreev [35.5K]
2 years ago
12

If PQRS is a square and TR = 17, find each missing value. Round to the nearest tenth.

Mathematics
1 answer:
mestny [16]2 years ago
8 0

<h3>\huge\mathfrak\pink{Answer}</h3><h3>The area of rhombus PQRS is 120 m. </h3>

Step-by-step explanation:

<h3>correct me if I'm wrong.</h3>

\huge\mathfrak\red{Hope it's help}

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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
Semester 1 finals are this week for me. Any advice?
krek1111 [17]
Study hard and take the test slowly. rushing will make you get all the wuestions wrong. if you need more advice, message me.
7 0
3 years ago
Read 2 more answers
A cable weighing 0.6 pounds per foot is attached to a small 80-pound robot, and then the robot is lowered into a 60-foot deep we
ollegr [7]

Answer:6060 foot-pounds

Step-by-step explanation:

Given

Weight of cable(w')=0.6 pound per foot

depth of well=60 foot

weight of wrench=7 Pound

Now work done in raising monkey with wrench=w\cdot h

W_1=(80+7)\cdot 60=5220 foot-pounds

Now work done in raising rope

robot rises by climbing up the cable with one end of the cable still attached thus robot support half the weight of cable so work done

W_2==\int_{0}^{60}\frac{w'}{2}xdx

W_2=0.3\times 0.5\times  (x^2)_0^{60}

W_2=540 foot-pounds

W_{net}=5220+540=6060 foot-pounds

5 0
3 years ago
Given ΔMNO, find the measure of ∠LMN.
Novay_Z [31]

Answer:

  104°

Step-by-step explanation:

If segments NO and NM are congruent, then angles NMO and NOM are congruent. So, their supplements, angles NML and NOP are congruent. That is ...

  ∠NML ≅ ∠NOP = 104°

  ∠NML = 104°

3 0
3 years ago
Read 2 more answers
Of the following fractions3/7, 5/8, 7/13, and 11/19 Which is the largest
Kobotan [32]

Answer:

5/8

Step-by-step explanation:

5/8=0.6.25

0.625> all the other numbers

8 0
2 years ago
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