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3 years ago

Round to the nearest angle. Plssss help:)

Mathematics

1 answer:

katovenus [111]3 years ago

4 0

A^2+ 12^2 = 15^2
a^2 + 144 = 225
225 - 144 = 81
square root of 81 = 9
a = 9

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According to a research center, 16% of all merchandise sold in a particular country gets returned. A department store in a certa

Mamont248 [21]

Answer:

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

Step-by-step explanation:

Given the Population proportion 'P'= 16% = 0.16

Given data a department store in a certain city sampled 80 items sold in January and found that 24 of the items were returned

The sample proportion $p = \frac{x}{n}$

here x =24 and n = 80

The sample proportion $p = \frac{x}{n} = \frac{24}{80} = 0.3$

a) Point estimate:-

A point estimate of the true proportion P

Point estimate = $p = \frac{x}{n}$

point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

$p = \frac{x}{n} = \frac{24}{80} = 0.3$

b) The 95% confidence interval for the proportion

The 95% confidence interval for the proportion of returns at the store in the given city

$(p - z_{\alpha } \sqrt{\frac{p(1-p)}{n} } , p + z_{\alpha }\sqrt{\frac{p(1-p)}{n} } )$

substitute all values we get ,

$(0.3 - 1.96 \sqrt{\frac{0.3(1-0.3)}{80} } , 0.3 + 1.96\sqrt{\frac{0.3(1-0.3)}{80} } )$

on simplification, we get

(0.3-0.10042 ,0.3+0.10042)

( 0.19958,0.40042)

Conclusion:-

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

5 0

4 years ago

Question in picture solve

Luda [366]

Answer:

Step-by-step explanation:

165-140=25

140-115=25

115-90=25

90-65=25

65-40=25

4 0

3 years ago

Please help me!!!!!!

Bogdan [553]

Answer:

32/139

Step-by-step explanation:

There are a total of 42 + 45 + 20 + 32, or 139, candies in the bag.

The probability that the picked candy is purple is therefore

---------

139

This result cannot be simplified.

5 0

3 years ago

Solve for x: 6x + 1 over 4 (4x + 8) > 12

sukhopar [10]

Answer:

A. $x>\frac{10}{7}$ .

Step-by-step explanation:

We have been given an inequality $6x+\frac{1}{4}(4x+8)>12$ . We are asked to solve the given inequality for x.

Using distributive property, we will get:

$6x+\frac{1}{4}*4x+\frac{1}{4}*8>12$

$6x+x+2>12$

$7x+2>12$

Subtract 2 from both sides:

$7x+2-2>12-2$

$7x>10$

Divide both sides by 7:

$\frac{7x}{7}>\frac{10}{7}$

$x>\frac{10}{7}$

Therefore, option A is the correct choice.

3 0

3 years ago

PLEASE ANSWER!!! > Evaluate 4 a for a = 5 2/3 . Express your answer in simplest form.

Leno4ka [110]

Answer:

68/3

Step-by-step explanation:

5 2/3=17/3

4(17/3)=68/3

3 0

4 years ago