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aniked [119]
3 years ago
6

Need help asap pls!!!

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

Answer:

16

Step-by-step explanation:

According to the given description, PS is the mid segment of the \triangle TQR

Therefore by Mid-segment Theorem:

PS = \frac{1}{2}  QR \\  \\ PS = \frac{1}{2}   \times 32 \\  \\ PS =16 \:

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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
what is the equation written in vertex form of a parobla with a vertex of (-1,8) that passes through (1,0)? please help asap
Nataly [62]

Step-by-step explanation:

Equation: y = (x - 1)² + 4

8 0
3 years ago
Eddies towing company charges $40 to hook a vehicle to the truck and $1.70 for each mile the vehicle is towed. Which equation be
andreev551 [17]

Answer:

B

Step-by-step explanation:

$40 is the flat fee of hooking a vehicle. It does not depend on m, miles towed.

$1.70 depends on miles towed, m. So if m miles are towed, the towing fee would be 1.70 * m, or 1.70m.

THAT, would be added to the initial fixed me of $40.

Hence, total charges, c, would be 40 + 1.70m

Answer choice B is right.

4 0
3 years ago
A medical researcher prepares a number of sugar tablet doses. The only ingredient is sugar, they are absolutely safe to administ
Neporo4naja [7]

Answer:

e

Step-by-step explanation:

like diabetes and stuff i think :)

8 0
3 years ago
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a speck of dust is 1.2 x 10^-6m wide. Which of the following is the best way to rewrite this quantity, using more appropriate un
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Answer:C 1.2x 10^-6

Step-by-step explanation:

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3 years ago
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