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Misha Larkins [42]
3 years ago
11

Select the correct answer. Which graph represents the solution to the inequality?​

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Answer:

A

Step-by-step explanation:

First you simplify both sides to get -2.4x+14.4 > 52.8

then you need to subtract the 14.4 from both sides giving -2.4x> 38.4

then divide both sides by -2.4 giving an answer of

x is less than or equal to -16 meaning you point to the left with a closed circle

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The volume of a sphere is 267.95 m2. To the nearest meter, what is the radius of the sphere? Use
Novosadov [1.4K]

Answer:

4m

Step-by-step explanation:

  1. v=4/3 pi r^3
  2. substitute 267.95=4/3×3.14×r^3
  3. 267.95= 12.56r^3/3
  4. multiply by the reciprocal on both sides 64=r^3
  5. find the cuberoot on both sides to remove the cube hence 4=r
3 0
3 years ago
In a study of 775 randomly selected medical malpractice​lawsuits, it was found that 502 of them were dropped or dismissed. Use a
bulgar [2K]

By using a 0.05 significance level, we can conclude that there is sufficient evidence that most medical malpractice lawsuits are dropped or dismissed.

<h3>How to test the claim for the medical malpractice lawsuits?</h3>

Since we have to compare whether the sample proportion is greater than or lesser than the population proportion, a one-tailed test would be used. Also, we would calculate the sample proportion of medical malpractice lawsuits that are dropped or dismissed as follows:

Sample proportion, p = x/n

Sample proportion, p = 502/775

Sample proportion, p = 0.6477

Mathematically, the null and alternative hypothesis is given by:

H₀: p = 0.5

H₁: p > 0.5

For the test statistic can be calculated by using this mathematical expression:

z=\frac{\hat{p}\;-\;p_o}{\sqrt{\frac{p_o(1-p_o)}{n }}  }

Where:

  • \hat{p} represents the sample mean.
  • p_o represents the mean.
  • n represents the number of subjects.

Substituting the given parameters into the formula, we have;

z = (0.6477 - 0.5)/√(0.5(1 - 0.5)/775)

z = 0.1477/√(0.25/775)

z = 0.1477/0.01796

z = 8.224.

For the p-value, we have:

p(z>8.224) = 0.0000

Therefore, the p-value (0.000) is less than the significance level α = 0.05. Based on this, we would reject the null hypothesis.

Read more on malpractice lawsuits here: brainly.com/question/13032617

#SPJ1

5 0
1 year ago
A water dispenser has a capacity of 20,000 milliliters. Use the facts to find how much this is in liters .
laila [671]
Answer:

The water dispenser's capacity in liters is 20liters

Explanation:

Given:

A water dispenser capacity = 20,000milliliters

To find

the capacity of the water dispenser in liters

To determine the capacity in liters, we will convert the capacity in ml to liters using the conversion:

1000ml = 1 liter

let the capacity of the water dispenser in Liters = y

\begin{gathered} 1000ml\text{ = 1 L} \\ 20000ml\text{ = y} \\ cross\text{ multiply:} \\ y(1000)\text{ = 1\lparen20000\rparen} \\ 1000y\text{ = 20000} \end{gathered}\begin{gathered} divide\text{ both sides by 1000:} \\ y\text{ = }\frac{20000}{1000} \\ y\text{ = 20} \end{gathered}

The water dispenser's capacity in liters is 20liters

5 0
1 year ago
Algebra question I need the work showed with it.
Alex_Xolod [135]
Area of the square + area of 4 semicircles.

use s² to find the area of the square. s=8
s²=18²=324

use πr²/2

=(3.14 x 324)/2
= <span>508.9

4 semi circles right, 
4 x </span><span>508.9
=</span><span>2035.8

total area = </span><span>2035.8 + 324 
= </span><span>2359.8 ft</span>²<span>

</span>
5 0
3 years ago
Read 2 more answers
2. The long-jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of
lakkis [162]

Answer:2. It’s 24.58

How many boards did the volunteers supply round your calculations to the nearest hundred- 13.44

How many whole boards-14

Step-by-step explanation:

8 0
3 years ago
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