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3 years ago

Willa says the slope of the graph is - 3. What error did

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:B

Step-by-step explanation: “she counted the squares instead of using the scale” by looking at the graph the first coordinates are (4,24) and instead of doing that Willa counted the squares.

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The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

If the p-value is smaller than the level of significance, what conclusion should we reach?

marshall27 [118]

If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

In this question,

A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.

One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).

A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.

Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

Learn more about p-value here

brainly.com/question/15855760

#SPJ4

7 0

1 year ago

Find the y-intercept of the line 18x–y=5.

DaniilM [7]

$\text{Write in y=mx+c form, where m is the slope and c is the y-intercept}\\\\~~~~18x-y = 5\\\\\implies y = 18x -5\\\\\text{y-intercept}~ = -5$

8 0

2 years ago

Read 2 more answers

Help please!!!!!!!!!!!!!

KatRina [158]

Hello!

For this you can plug in the x values in the choices and see if you get the y value

y = $-4^{3} - (-4)$

-4^3 is -64

when you subtract a negative you are just adding

-64 + 4 = 60

Then you do the second one

$y = -3^{3} - (-3)$

-3^3 is -27

-27 + 3 is -24

Then the third one

$y = -2^{3} - (-2)$

-2^3 is -8

-8 + 2 is -6

Then the last one

$y = -1^{3} - (-1)$

-1^3 is -1

-1 + 1 = 0

Since we did not get -2 the answer is D

Hope this Helps!

7 0

3 years ago

3x-4y=16 and 5x+2y=44 using elimination strategy and comparing strategy

chubhunter [2.5K]

$3x-4y=16 \\5x+2y=44 \\ \\3x-4y=16 \\10x+4y=88 \\ \\13x=104 \\x=\boxed{104\div13=8}\\ \\3\times8-4y=16 \\24-4y=16 \\-4y=-8 \\y=\boxed{2}$

5 0

3 years ago