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2 years ago

Find the solution to the following problem: 16 = X – 7 X=??

Mathematics

1 answer:

Darya [45]2 years ago

3 0

Answer:

-8/3

Step-by-step explanation:

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Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Ex

I am Lyosha [343]

Answer:

$z = -1.53$ --- test statistic

$p = 0.1260$ --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

$n_1 = 80$ $\bar x_1= 104$ $\sigma_1 = 8.4$

$n_2 = 70$ $\bar x_2 = 106$ $\sigma_2 = 7.6$

$H_o: \mu_1 - \mu_2 = 0$ --- Null hypothesis

$H_a: \mu_1 - \mu_2 \ne 0$ ---- Alternate hypothesis

$\alpha = 0.05$

Solving (a): The test statistic

This is calculated as:

$z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}$

So, we have:

$z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}$

$z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}$

$z = \frac{-2}{\sqrt{0.8820 + 0.8251}}$

$z = \frac{-2}{\sqrt{1.7071}}$

$z = \frac{-2}{1.3066}$

$z = -1.53$

Solving (b): The p value

This is calculated as:

$p = 2 * P(Z < z)$

So, we have:

$p = 2 * P(Z < -1.53)$

Look up the z probability in the z score table. So, the expression becomes

$p = 2 * 0.0630$

$p = 0.1260$

Solving (c): With $\alpha = 0.05$ , what is the conclusion based on the p value

We have:

$\alpha = 0.05$

In (b), we have:

$p = 0.1260$

By comparison:

$p > \alpha$

i.e.

$0.1260 > 0.05$

So, we fail to reject the null hypothesis.

4 0

3 years ago

Yahir Garcia Solis

gayaneshka [121]

Georgia made many contributions to the war effort during World War I.

For each Georgia contribution, indicate the industry or group of people who made it. ( 1 answer will be used two times)

Trained Recruits

provided canned goods, uniforms, and bandages

planted victory gardens

Georgia farmers

volunteered for military duty

Georgia military facilities

grew cotton for clothing

CHOICES:

Georgia Farmers

Georgia Military facilities

Georgia Factories

Georgia Citizens

4 0

3 years ago

Verify the identity. <br><br> tan x plus pi divided by two = -cot x

kogti [31]

Recall that sin(π/2) = 1, and cos(π/2) = 0,

$\bf \textit{Sum and Difference Identities}
\\\\
sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta)
\\\\
sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta)
\\\\
cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)
\\\\
cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)\\\\
-------------------------------\\\\
$

$\bf tan\left(x+\frac{\pi }{2} \right)=-cot(x)\\\\
-------------------------------\\\\
tan\left(x+\frac{\pi }{2} \right)\implies \cfrac{sin\left(x+\frac{\pi }{2} \right)}{cos\left(x+\frac{\pi }{2} \right)}
\\\\\\
\cfrac{sin(x)cos\left(\frac{\pi }{2} \right)+cos(x)sin\left(\frac{\pi }{2} \right)}{cos(x)cos\left(\frac{\pi }{2} \right)-sin(x)sin\left(\frac{\pi }{2} \right)}\implies \cfrac{sin(x)\cdot 0~~+~~cos(x)\cdot 1}{cos(x)\cdot 0~~-~~sin(x)\cdot 1}
\\\\\\
\cfrac{cos(x)}{-sin(x)}\implies -cot(x)$

7 0

3 years ago

5/8 9f the 240 women play in a tournament. How many women members play in a tournament

irina [24]

Answer: 150

Step-by-step explanation:

we just simply multiply the two together (5/8 x 240). easy! :)

6 0

3 years ago

two water pumps are used to drain a swimming pool pump a can drain the pool in 45 minutes in pump be Can Dream the same pool in

Svetllana [295]

Pump A = 45 mins

Pump B = 35 mins

Pump A and B = (45 x 35) / ( 45 + 35) = 19.69 mins (nearest hundredth)

Answer: 19.69 mins

4 0

3 years ago

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