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3 years ago

5

Calculate the average ratw of change of a function, f(x)=x^2 as x changes from 5 to 15

1 answer:

Sergeeva-Olga [200]3 years ago

4 0

The answer for your problem is shown on the picture.

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Julie works for 48 hours per week for 12 weeks during the summer, making $5000. If she works for 48 weeks during the school year

spayn [35]

She would need to work 12 hours per week.

7 0

3 years ago

Determine if the two triangles are congruent. If they are, state how you

Anna71 [15]

Not enough information

Explanation: in order for them to be congruent it must have at least two equal sides or 2 equal angles

5 0

3 years ago

A randomized trial tested the effectiveness of diets on adults. Among 36 subjects using Diet 1, the mean weight loss after a yea

seropon [69]

Answer:

The 95% confidence interval is

$0.45 < \mu_1 - \mu_2 < 5.35$

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 36$

The first sample mean is $\= x_1 = 3.5$

The first standard deviation is $\sigma_1 = 5.9 \ pounds$

The second sample size is $n_2 = 36$

The second sample mean is $\= x_2 = 0.6$

The second standard deviation is $\sigma = 4.4$

Generally the degree of freedom is mathematically represented as

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

=> $df = \frac{ [ \frac{5.9^2 }{34 } + \frac{4.4^2 }{34} ]^2 }{ \frac{1}{(34 - 1 )} [ \frac{5.9^2}{34} ]^2 + \frac{1}{(34- 1 )} [ \frac{4.4^2}{ 34} ]^2 }$

=> $df =63$

Generally the standard error is mathematically represented as

$SE = \sqrt{ \frac{s_1 ^2 }{n_1} + \frac{s_2^2 }{ n_2 } }$

=> $SE = \sqrt{ \frac{ 5.9 ^2 }{ 36 } + \frac{ 4.4^2 }{36} }$

=> $SE = 1.227$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the t distribution table the critical value of at a degree of freedom of is

$t_{\frac{\alpha }{2}, 63 } = 1.998$

Generally the margin of error is mathematically represented as

$E = t_{\frac{\alpha }{2}, 63 } * SE$

=> $E = 1.998 * 1.227$

=> $E = 2.45$

Generally 95% confidence interval is mathematically represented as

$(\= x_1 - \x_2) -E < \mu$

=> $(3.5 - 0.6) - 2.45 < \mu_1 - \mu_2 < ( 3.5 - 0.6) + 2.45$

=> $0.45 < \mu_1 - \mu_2 < 5.35$

8 0

2 years ago

Mr.O’Donnell bought 3 shirts for x dollars. He also bought shoes for $100. If he spent $160, how much did each shirt cost

erastovalidia [21]

Answer:

$20

Step-by-step explanation:

3x + 100 = 160

3x = 60

x = 20

4 0

2 years ago

You lose track of how many 2-point baskets and 3-point baskets a team makes in a basketball game. The team misses all the 1-poin

babunello [35]

Answer:

x-intercept: 27, the number of 2-pointers if no 3-pointers
y-intercept: 18, the number of 3-pointers if no 2-pointers

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable value of interest.

2x +3y = 54

<u>x-intercept:</u>

2x = 54

x = 27

<u>y-intercept:</u>

3y = 54

y = 18

__

By definition, the intercept values are the values that satisfy the equation when the other variable is zero.

x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.

y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.

8 0

2 years ago