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dimaraw [331]
3 years ago
12

A circle has a circumference of 616 cm.

Mathematics
2 answers:
Korolek [52]3 years ago
7 0
It is a 14 cm have a great rest of your day
Ray Of Light [21]3 years ago
4 0

Answer:

π =14 cm

Step-by-step explanation:

Given:

circumference of a circle =616 cm

pie(π)=22/7

circumference of a circle=πr^2

616=22/7 *r^2

616*7/22 =r^2

4312/22 =r^2

196=r^2

\sqrt{196} =r

14 =r

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a plumber uses the expression 48+25h to determine the number of dollars to charge each customer. If h=4, how much does the custo
Elis [28]

Answer:

$148

Step-by-step explanation:

We are given the expression:

48+25h

We are also given h=4. Since we know what h is equal to, we can substitute 4 in for h.

48 + 25h (h=4)

48 + 25(4)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

First, multiply 25 and 4.

48+ (25*4)

48+100

Next, add 48 and 100

48+100

148

The customer will have to pay $148

8 0
3 years ago
since the base of the refraction cup is a half circle how can you find the radius, what is the radius.
Anettt [7]

Answer:

The radius is half the diameter

Step-by-step explanation: what it is

4 0
3 years ago
Which of the following z-scores indicates the most extreme observation?
UNO [17]

Answer:

Step-by-step explanation:

Normally Z scores in a std normal distribution curve lie between -3 and 3 comprising more than 99% of total area.

Any entry outside (-3,3) can be considered as an extreme observation.

Here we have hence a) -4.3 is the most extreme observation.

-------------------------

Given that 84 separates the lowest 75% of the scores from the highest 25% of the scores,

This means 84 is the 75th percentile and similarly 65 is the 25th percentile.

Thus we have 84 has the percentile rank of 75

Option C

5 0
4 years ago
A manager is comparing wait times for customers in a coffee shop based on which employee is
anyanavicka [17]

Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, we test if there is no difference, that is:

H_0: \mu_A - \mu_B = 0

At the alternative hypothesis, it is tested if there is difference, that is:

H_1: \mu_A - \mu_B = 0

<h3>What are the mean and the standard error of the distribution of differences?</h3>

For each sample, we have that:

\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2

\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4

For the distribution of differences, we have that:

\overline{x} = \mu_A - \mu_B = 73 - 74 = -1

s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447

<h3>What is the test statistic?</h3>

It is given by:

t = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

t = \frac{\overline{x} - \mu}{s}

t = \frac{-1 - 0}{0.447}

t = -2.24

<h3>What is the p-value and the decision?</h3>

Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.

Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.

More can be learned about the t-distribution at brainly.com/question/16313918

8 0
2 years ago
Find an equation of the line through (1,8) and parallel to y = 4x +3. Write the equation using function notation.
brilliants [131]

Answer:

f(x) = 4x + 4

Step-by-step explanation:

When a line is parallel to another line, the slopes are always equal. Therefore,  the coefficient for x has to be four. If you multiply the y-coordinate by 4, you get 4. To get 8, you have to add four, so the equation is simply f(x) = 4x+4.

5 0
3 years ago
Read 2 more answers
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