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3 years ago

Enter the equation of the line in slope-intercept form.

Mathematics

1 answer:

raketka [301]3 years ago

4 0

Answer:

y = 5x-14

Step-by-step explanation:

We should use point-slope form to form our equation:

y-1 = 5(x-3)

y-1 = 5x-15

y = 5x-14

Our equation is now in slope-intercept form.

HTH :)

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Ellie missed 76 questions on her multiple choice history final and earned a grade of 62%. How many total questions were on the f

erica [24]

Answer:

200 questions on the final exam.

Step-by-step explanation:

38% = 76 questions, 100% = 2.63157894737 x 76 = 200

(100/38=2.63157894737 hence this is the answer)

6 0

2 years ago

Find the mean of the data summarized in the given frequency distribution. A company had 110 employees whose salaries are summari

mafiozo [28]

Answer:

$\bar X= \frac{1930055}{110}=17545.95$

Step-by-step explanation:

For this case we can construct the following table in order to find the mean for the grouped data:

Interval Frequency (fi) Midpoint (Xi) Xi *fi

5001-10000 27 7500.5 202513.5

10001-15000 23 12500.5 287511.5

15001-20000 12 17500.5 210006

20001-25000 18 22500.5 405009

25001-30000 30 27500.5 825015

Total 110 1930055

And the mean is calculated with the following formula:

$\bar X= \frac{\sum_{i=1}^n x_i f_i}{n}$

Where $n = \sum_{i=1}^n f_i = 110$

So then if we replace into the formula we got:

$\bar X= \frac{1930055}{110}=17545.95$

7 0

3 years ago

A 95% confidence interval for the proportion of young adults who skip breakfast is .20 to .27. Which of the following is a corre

mixer [17]

Answer:

We are 95% confident that the true proportion of young adults in the population who skip breakfast is between .20 and .27.

Step-by-step explanation:

A 95% confidence interval for the proportion of young adults who skip breakfast is .20 to .27. Which of the following is a correct interpretation of this 95% confidence interval?

We take a sample, and infer for the entire population.

So the interpretation is that we are 95% sure that the true proportion of all young adults who skip breakfast is between 0.20 and 0.27.

So the correct answer is:

We are 95% confident that the true proportion of young adults in the population who skip breakfast is between .20 and .27.

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3 years ago

Match each of the following complex numbers with its equivalent expression.

Yanka [14]

Answer:

Therefore

$i^{110}=-1$

$i^{92}=1$

$i^{245}=i$

$i^{347}=-i$

Step-by-step explanation:

Complex Number :

A complex number is a number that can be expressed in the form

$a + bi$

where a and b are real numbers, and

' i ' is called an imaginary number.

The value of i is given as

$i=\sqrt{-1}$

Squaring both the side we get

$i^{2}=(\sqrt{-1})^{2}\\\therefore i^{2}=-1$

Therefore on substituting we get

For i^110

$i^{110}=(i^{2})^{55}=(-1)^{55}=-1$

Similarly for i^92

$i^{92}=(i^{2})^{46}=(-1)^{46}=1$

Similarly for i^245

$i^{245}=(i^{2})^{122}\times i=(-1)^{122}\times i=1\times i =i$

Similarly for i^347

$i^{347}=(i^{2})^{173}\times i=(-1)^{173}\times i=-1\times i =-i$

Therefore

$i^{110}=-1$

$i^{92}=1$

$i^{245}=i$

$i^{347}=-i$

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3 years ago

A balloon rises to the ceiling of a gymnasium. You want to find the distance from

aivan3 [116]

The answer is 32. you would multiply 8 times 4 which is 32 feet.

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4 years ago