Simplify the equation

The valve was tested on 270 engines and the mean pressure was 6.6 lbs/square inch. Assume the variance is known to be 0.49. If t

BlackZzzverrR [31]

Answer:

$z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347$

The p value for this case would be given by"

$p_v =2*P(z>2.347)=0.0189$

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Step-by-step explanation:

Information given

$\bar X=6.6$ represent the sample mean

$s=\sqrt{0.49}= 0.7$ represent the population deviation

$n=270$ sample size

$\mu_o =6.5$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:

Null hypothesis: $\mu= 6.5$

Alternative hypothesis: $\mu \neq 6.5$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing we got:

$z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347$

The p value for this case would be given by"

$p_v =2*P(z>2.347)=0.0189$

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

8 0

4 years ago

7: Jikayla earns $19 per hour babysitting. Last week, she worked 7 hours on Monday, 6 hours on Tuesday, and 7 hours on Wednesday

____ [38]

Answer:

$475

Step-by-step explanation:

7+6+7+5 = 25

25*19 = 475

6 0

4 years ago

I need help on this question please

steposvetlana [31]

The answer to your question is A

Hope this helps :)

6 0

3 years ago

Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

5 0

4 years ago

The quotient of a number x and −1.5 is 21

Andru [333]

Answer:

x = -31.5

Explanation:

We are given that the quotient of x and -1.5 is 21

This means that:

$\frac{x}{-1.5} =21$

To get the value of x, we will multiply both sides of the equation by -1.5

This means that:

$\frac{x}{-1.5} * -1.5=21*-1.5$

x = -31.5

Note that the value of x must be negative because we are dividing by a negative number and the quotient is positive (-ve/-ve is +ve and +ve/-ve is -ve)

Hope this helps :)

3 0

3 years ago

Simplify the equation​

Simplify the equation