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3 years ago

Help finding the area

Mathematics

2 answers:

Semmy [17]3 years ago

7 0

Answer:

should be 112

Step-by-step explanation:

You take both 12 and 14 and multiply. Then, take 8 and 7 and multiply. Take 168 and subtract 56,and there's your answer

aev [14]3 years ago

4 0

Answer:

Hello answer: 112

Step-by-step explanation:

assuming you want the area that's shades in grey this is what I do to find it.

I do 14 × 12 = 168 so that would be the area if the shape didn't have a cut in the middle sense it does I'll find the area of the cut subtract that from 168 resulting in the area of this figure so...

8 × 7 = 56

168 - 56 = 112 therefore 112 is the area! hope that helps!

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Suppose that the mean water hardness of lakes in Kansas is 425 mg/L and these values tend to follow a normal distribution. A lim

tino4ka555 [31]

Answer:

The mean water hardness of lakes in Kansas is 425 mg/L or greater.

Step-by-step explanation:

We are given the following data set:

346, 496, 352, 378, 315, 420, 485, 446, 479, 422, 494, 289, 436, 516, 615, 491, 360, 385, 500, 558, 381, 303, 434, 562, 496

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{10959}{25} =438.36$

Sum of squares of differences = 175413.76

$S.D = \sqrt{\dfrac{175413.76}{24}} = 85.49$

Population mean, μ = 425 mg/L

Sample mean, $\bar{x}$ = 438.36

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = 85.49

First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 425\text{ mg per Litre}\\H_A: \mu < 425\text{ mg per Litre}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{438.36 - 425}{\frac{85.49}{\sqrt{25}} } = 0.7813$

Now, $t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = -1.7108$

Since,

The calculated t-statistic is greater than the critical value, we fail to reject the null hypothesis and accept it.

Thus, the mean water hardness of lakes in Kansas is 425 mg/L or greater.

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3 years ago

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Lelechka [254]

Answer:

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Step-by-step explanation:

912 million people speak Chinese in the world than they do English.

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3 years ago

A 9-ounce can of peaches sells for $1.26. Find the unit price.

Alja [10]

Answer:

0.14 per ounce

Step-by-step explanation:

1.26 ÷ 9= 0.14

Hope this helps! :)

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3 years ago

1 name a pair of complementary angles

liraira [26]

Complementary angles add to 90 degrees.
So your answer is B. Angles 1 and 2

4 0

3 years ago

PLS HELP ME I WILL MARK THE BRAINLIEST

igor_vitrenko [27]

Given that the solids are similar, we have:

1. 5/3

2. 4/25

3. 512/13,824

<h3>What is the Volume and Surface Area of Similar Solids?</h3>

If two solids have a surface area of A and B respectively, and a and b are their respective corresponding linear measures, the following ratio would be true for the similar solids:

Surface area for A/Surface area for B = a²/b².

Volume for A/Volume for B = a³/b³.

1. If the two pyramids are similar, therefore:

Ratio of the height of larger to the smaller pyramid = √(525/189) = √(25/9)

Ratio of the height of larger to the smaller pyramid = 5/3

2. Ratio of the linear measure of the smaller prism to the larger prism = ∛(24/375)

= ∛(8/125) = 2/5

Ratio of their surface area = 2²/5²

Ratio of their surface area = 4/25.

3. Ratio of the volume of the smaller cyinder to that of the larger = 8³/24³

= 512/13,824

Learn more about similar solids on:

brainly.com/question/16599646

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2 years ago