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3 years ago

6

Ezra made 70% of the free throws he attempted last basketball season. If Ezra attempted 50 free throws last season, how many did

he make?

2 answers:

erastova [34]3 years ago

6 0

35, because if he makes 70 out of 100, you can divide that by 2 so you get 35 out of 50

Lera25 [3.4K]3 years ago

3 0

35 :) If you change the percent into a decimal (0.70) and multiply that by 50, you will get the answer!

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Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

5 0

3 years ago

(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term

kolbaska11 [484]

Answer:

$a_n=5-2(n-1)$ , all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

$a_n=a_1+d(n-1)$

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

$a_1=5\\a_2=3$

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

$d=a_2-a_1=3-5=-2$

substitute the given values in the formula

$a_n=5-2(n-1)$

The domain is all integers for $n\geq 1$

3 0

3 years ago

All of the following are true statements except _____.

soldier1979 [14.2K]

Answer:

|−93| = −93

Step-by-step explanation:

|Mode| = mode

3 0

2 years ago

What is the limit of f (×) as x approaches - infinty

tatyana61 [14]

If the degree of numerator and denominator are equal, then limit will be leading coefficient of numerator divided by the leading coefficient of denominator.

So then the limit would be 3/1 = 3.

Alternatively,

$\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}=\displaystyle \lim_{x\to\infty}\dfrac{3x^2+6}{x^2-4}\cdot\dfrac{1/x^2}{1/x^2}=\lim_{x\to\infty}\dfrac{3+\frac6{x^2}}{1-\frac4{x^2}} = \dfrac{3+0}{1-0}=\boxed{3}$

Hope this helps.

5 0

3 years ago

Adult tickets for a charity concert were $5 each. Students were admitted for $2 each. The charity concert

AfilCa [17]

Answer:

students 150

adult 550

Step-by-step explanation:

x + y = 700

5x + 2y = 3050

x = 700 - y

5(700 - y) + 2y = 3050

3500 - 5y + 2y = 3050

-3y + 3500 = 3050

-3y = 3050 - 3500

-3y = -450

y = -450 / -3

y = 150

x = 700 - y

x = 700 - 150

x = 550

3 0

3 years ago