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3 years ago

What is the rate and unit rate of 5 pencils for 13 dollars?

1 answer:

8 0

$unit\ rate=\frac{cost}{number\ of\ pencils}\\\\
cost=13\ dollars\\
number\ of\ pencils=5\\\\
unit \rate= \frac{13}{5}=2\frac{3}{5}\frac{dollars}{pensil}\\\\
 Unit\ rate\ is\ 2\frac{3}{5}\ dollars\ per\ one\ pensil$

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Find the area of each figure. Use 3.14

grigory [225]

<h3>Answer: 23.13 square meters</h3>

===============================================================

Explanation:

The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5

The area of one circle is

A = pi*r^2

A = 3.14*(1.5)^2

A = 7.065

So two circles doubles to 2*7.065 = 14.13 square meters in area.

Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13

This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13

8 0

3 years ago

Read 2 more answers

A group of researchers wants to know whether men are more likely than women to contract a novel coronavirus. They surveyed two r

olasank [31]

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

<em>Step(I)</em>:-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

$p_{1} = \frac{360}{390} = 0.9230$

second sample proportion

$p_{2} = \frac{47}{52} = 0.9038$

Step(ii):-

Null hypothesis : H₀ : There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

$Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }$

where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }$

P = 0.920

$Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}$

Test statistic Z = 0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

7 0

3 years ago

HELP PLEASE (will give brainliest and thanks)

denpristay [2]

Pythagorean Theorem is a^2 + b^2 = c^2
Use it to find the hypotenuse of a right triangle
Formula for:
Volume of cones- 1/3 * 3.14 * r^2 * h
Volume of cylinders- 3.14 * r^2 * h
Volume of Spheres - 4/3 * 3.14 * r^3

5 0

3 years ago

20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER

jeka57 [31]

Answer:

yaaa

Step-by-step explanation:

4 0

3 years ago

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Find the sum of the first 7 terms of the following series, to the nearest integer.

givi [52]