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Svetllana [295]
3 years ago
9

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

  yes; 1.25

Step-by-step explanation:

The length to width ratios of the rectangles are ...

  A: 12/8 = 1.5

  B: 15/10 = 1.5

  C: 30/15 = 2.0

__

Rectangles A and B have the same aspect ratio, so are similar. Rectangle B is a scaled copy of A with a scale factor of 10/8 = 1.25.

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NEED HELP ASAP PLEASE
Ilya [14]

Answer:

see explanation

Step-by-step explanation:

Given

A = \frac{1}{2} bh

a. substitute b = 6 and h = 5 into the formula

A = \frac{1}{2} × 6 × 5 = \frac{1}{2} × 30 = 15 units²

b.

Multiply both sides of the formula by 2

2A = bh, that is

bh = 2A ← divide both sides by b

h = \frac{2A}{b} = \frac{2(16)}{4} = \frac{32}{4} = 8

c

Using

bh = 2A ← divide both sides by h

b = \frac{2A}{h} = \frac{2(12)}{4} = \frac{24}{4} = 6

3 0
3 years ago
For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test
Basile [38]

Answer:

a) p_v =P(Z>2.05)=1-P(z

b) p_v =P(Z>-1.84)=1-P(z

c) p_v =P(Z>0.4)=1-P(z

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: \mu=10

Alternative hypothesis: \mu >10

If the random variable is distributed like this: X \sim N(\mu,\sigma)

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

z_o=\frac{\bar X -\mu}{\sigma}

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

p_v =P(Z>2.05)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

p_v =P(Z>-1.84)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

p_v =P(Z>0.4)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say \alpha=0.05. For part a the p_v so then we can reject the null hypothesis at this significance level.

For part b the p_v>\alpha so then we FAIL to reject the null hypothesis at this significance level.

For part c the p_v>\alpha so again we FAIL to reject the null hypothesis at this significance level.

3 0
3 years ago
I NEED HELP ASAP!!!!!!
eduard

Answer:

I give bases example the triangle pyramid

7 0
3 years ago
Which of the following is the portion of a line that starts at one point and goes off in a particular direction to infinity?
NeTakaya
Answer: Vertex
Explanation:
4 0
3 years ago
Read 2 more answers
How to find the inverse of g(x) = -3 +(3/5)x​
nasty-shy [4]

Answer:

g^-1(x)=5x/3 +5

3 0
3 years ago
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