What is the value of x?

A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random

Akimi4 [234]

Answer:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

Step-by-step explanation:

Information given

$\bar X=24$ represent the mean height for the sample

$s=2.2$ represent the sample standard deviation

$n=14$ sample size

$\mu_o =25$ represent the value that we want to test

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

The statistic would be given by:

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

Replacing the info given we got:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

8 0

3 years ago

See attachment the problem can be found in there

zloy xaker [14]

Answer:

$\frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )}$

Step-by-step explanation:

$\frac{5}{6 {x}^{2} + 9x} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5}{3x(2 {x} + 3)} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5(2x - 3) + 1 \times 3x(2x + 3)}{3x(2 {x} + 3)(2x - 3)} - \frac{2}{3x} \\ \\ = \frac{10x - 15 + 6 {x}^{2} + 9x}{3x((2 {x} ) ^{2} - {3}^{2} )} - \frac{2}{3x} \\ \\ = \frac{6 {x}^{2} + 19x - 15}{3x(4x^{2} - 9 )} - \frac{2}{3x} \\ \\ = \frac{3x(6 {x}^{2} + 19x - 15) - 2 \times 3x(4x^{2} - 9 )}{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{18{x}^{3} + 57 {x}^{2} - 45x - 24x^{3} + 54x }{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{ - 6 {x}^{3} + 57 {x}^{2} + 9x }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ = \frac{ 3x(- 2 {x}^{2} + 19x + 3) }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ \huge \orange{ \boxed{= \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} }}$

7 0

3 years ago

The car company is trying to make a car that is more fuel efficient, meaning it takes less force to get the car to move. Explain

agasfer [191]

Step-by-step explanation:

<h2><em><u>Fuel technologies and advanced motor oil innovation</u></em></h2><h2 /><h2><em><u>Fuel technologies and advanced motor oil innovationExxonMobil is committed to developing and supplying quality fuels, which is why we have an entire active research organization dedicated to ensuring that the product pumped into your vehicle is the latest technology in industry innovation.</u></em></h2><h2 /><h2><em><u>Fuel technologies and advanced motor oil innovationExxonMobil is committed to developing and supplying quality fuels, which is why we have an entire active research organization dedicated to ensuring that the product pumped into your vehicle is the latest technology in industry innovation.Additionally, our breakthrough lubricants offer drivers a longer interval between oil changes and improved engine efficiency, while still providing outstanding performance and protection. Our specially formulated synthetic motor oil products are tailored to improving engine function, whether it be for greater durability, better wear protection or running a cleaner engine.</u></em></h2>

4 0

3 years ago

Read 2 more answers

I will mark branliest please

Greeley [361]

Answer:

1.) Right

2.)Acute

3.) obtuse

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Help please! Find the perimeter and area of figure 1

Nady [450]

Figure 1,

When 1 unit = 1 cm

Perimeter = Boundary of the figure

= 3+3+6

= 12 cm

Area of one square = side * side

= 1*1

No. of squares in the figure = 6 squares

Area = Space occupied inside the figure

= 6 cm^2

Hope it helped :)

6 0

2 years ago