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4 years ago

6

A company builds computers. It costs $6,700 to build 10 computers and $12,200 to build 20 computers. Which equation models the c

ost, C(x), as a linear function of the number of computers built, x? C(x) = 550x −1200 C(x) = 550x + 1200 C(x) = 1200x − 550 C(x) = 1200x + 550

1 answer:

Daniel [21]4 years ago

8 0

The answer is <span> </span><span>C(x) = 550x + 1200

</span>

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The Municipal Transit Authority wants to know if, on weekdays, more passengers ride the northbound blue line train towards the c

Kitty [74]

Answer:

The 90% confidence interval $-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

The distribution test statistics is $t = -3.222$

The rejection region is p-value < $\alpha$

The decision rule is reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

The p-value is $p-value =0.000951$

Step-by-step explanation:

From the question we are told that

The first sample size $n_1 = 30$

The first sample mean is $\= x _1 = 323$

The first standard deviation is $s_1 = 41$

The second sample size is $n_2 = 45$

The second sample mean is $\=x_2 = 356$

The second standard deviation is $s_2 = 45$

given that the confidence level is 90% then the level of significance is mathematically represented as

$\alpha = (100 -90)\%$

$\alpha = 0.10$

Generally the critical value of $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the pooled variance is mathematically represented as

$s^2 = \frac{(n_1 - 1)s_1^2 + (n_2 -1)s_2^2 }{n_1 + n_2 -2}$

$s^2 = \frac{(30 -1)(41^2) + (45-1)45^2}{30+45 -2}$

$s^2 = 1888.34$

Generally the standard error is mathematically represented as

$SE = \sqrt{\frac{s^2}{n_1} + \frac{s^2}{n_2} }$

=> $SE = \sqrt{\frac{1888.34}{30} + \frac{1888.34}{45} }$

=> $SE = 10.24$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * SE$

$E = 1.645* 10.24$

$E = 16.85$

Generally the 90% confidence interval is mathematically represented as

$\=x_1 -\=x_2 -E < \mu_1 -\mu_2 < \=x_1 -\=x_2 +E$

$323 -356 -16.84$

$-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \=x_2 }{SE}$

=> $t = \frac{323-356}{10.24}$

=> $t = -3.222$

Generally the degree of freedom is mathematically represented as

$df = n_1+n_2 -2$

$df = 30 + 45 -2$

$df = 73$

The p-value is obtained from the student t distribution table at degree of freedom of 73 at 0.05 level of significance

The value is $p-value =0.000951$

Here the level of significance is $\alpha = 5\% = 0.05$

Given that the p-value < $\alpha$ then we reject the null hypothesis

Then the conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

5 0

3 years ago

If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be

Ksivusya [100]

Oksuru k diyaf ramincok ani kasilm asiyla olusan bir refle kstir.

6 0

3 years ago

The diameter of a semicircle is 2 feet. What is the semicircle's perimeter?

Mice21 [21]

Answer:

11/7 feet

Step-by-step explanation:

the perimeter of a circle is πr²

and a semi circle is half of a circle then the formula would be 1/2 πr²

1/2×22/7×1 (it is 1 because we have divided the diameter to get radius

so we derived at 11/7

6 0

3 years ago

Count the possible combinations of 3 letters chosen from A, B, C, D. The possible combinations of 3 letters are __.

anygoal [31]

Answer:

Step-by-step explanation:

We are given the letters:

2

We write the possible permutations of 3 letters from the given list:

3

Because order is not important in a combination we cross out the duplicate pairs:

4

8 0

3 years ago

Read 2 more answers

7) Will you ever get 100% red M&M's in a packet? Explain your answer.

andreev551 [17]

No. A machine dispenses all the colors on a conveyor belt that mixes all the available colors.

8 0

3 years ago