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alexdok [17]
3 years ago
15

Answers: a) 74 b) 108 c)49 d)51

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
5 0

Answer:

51

Step-by-step explanation:

sum of exterior angles = 360

64  + 60 + 69 + 42 + x + x +23 = 360

2x + 258 = 360

2x = 360 - 258

2x = 102

x = 51

Mashcka [7]3 years ago
4 0

Answer:

The person below me is correct

Step-by-step explanation:

You might be interested in
Lucy bought three books at a bookstore. Here are their prices (in dollars).
Valentin [98]

Answer:

41.82$

Step-by-step explanation:

The prices are

7.58$, 16$, 18.24$.

To get the total of all what Lucy bought, You add the prices altogether.

That is,

18.24$

+16.00$

+<u>0</u><u>7</u><u>.</u><u>5</u><u>8</u><u>$</u>

41.82$

The total amount of what Lucy bought is 41.82$

8 0
2 years ago
What is the formula for a confidence interval?
ikadub [295]

Answer:

a) The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) \bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

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".  

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Part a

The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

5 0
3 years ago
How many teaspoons of brine shrimp every day? There are about 125,000 Brine shrimp in 1 pound. A pound contains 96 teaspoons. A
sveticcg [70]

Answer:

2\frac{38}{125}\ teaspoons

Step-by-step explanation:

we know that

There are about 125,000 Brine shrimp in 1 pound

1 pound contains 96 teaspoons

so

There are about 125,000 Brine shrimp in 96 teaspoons

Using proportion

Find out how many teaspoons of brine shrimp represent 3000 Brine shrimp

Let

x -----> the number of teaspoons

\frac{96}{125,000}=\frac{x}{3,000}\\\\x=3,000(96)/125,000\\\\x=\frac{288,000}{125,000}\ teaspoons

Simplify

\frac{288}{125}\ teaspoons

Convert to mixed number

\frac{288}{125}\ teaspoons=\frac{250}{125}+\frac{38}{125}=2\frac{38}{125}\ teaspoons

8 0
2 years ago
Darnell is comparing three loan options to determine which one is best for his situation. Match each loan option with the correc
shusha [124]

Answer:

Option T - Lowest

Option R - Highest

Option S - Neither

Explanation:

Option T $334.43 x 48 = $16,052.64 -- adding $52.64 in interest

Option R $203.67 x 72 = $14,664.24 -- adding $664.24 in interest

Option S $256.24 x 60 = $15,374.4 -- adding $374.4 in interest.

T = $52.64 (Lowest)

R = $664.24 (Highest)

S = $374.4 (Middle)

4 0
3 years ago
A beautiful cake was presented at a wedding reception. The cake measured 13.5 inches tall, including the decorative icing on top
Schach [20]

Using proportions, it is found that the thickness of the icing between the layers, in inches, is of:

E 1 inch

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

In this problem, there are six layers, each measuring 1.25 inches tall, hence the height of these layers is:

6 x 1.25 = 7.5 inches

Then the height of the icing between the layers is of:

13.5 - 7.5 = 6 inches

Six layers, hence each icing is of:

6/6 = 1 inch

More can be learned about proportions at brainly.com/question/24372153

5 0
2 years ago
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