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Oxana [17]
2 years ago
6

Hello :) Please help me solve this Explain answer

Mathematics
1 answer:
svet-max [94.6K]2 years ago
4 0

Answer:

Scale\ Factor = \frac{1}{2}

ABC dilated

Step-by-step explanation:

Given

Triangles ABC and DEF

Required

Determine the scale of dilation

First, we pick a side on ABC

AB = 6

Pick a corresponding side on DEF

DE = 3

The scale factor is then calculated as:

Scale\ Factor = \frac{DE}{AB}

Scale\ Factor = \frac{1}{2}

i.e. ABC was dilated by 1/2

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Caviar is an expensive delicacy, so companies that package it pay very close attention to the amount of product in their tins. S
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Answer: 99.8+-2.093(.9/V20)

B

Step-by-step explanation: Kahn

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2 years ago
It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? The answer has to be as
Elena-2011 [213]

Answer:

19.4 dollars

Step-by-step explanation:

3.45= 3/4 lb    times 5.625

           7.5 lb

3.45 times 5.625=19.4

6 0
2 years ago
How many inches did the height of the plant increase between weeks 3 and 4?
Iteru [2.4K]
The plant increased a total of 4 inches. 

Week 3, the plant was 8in and week 4, the plant was 12in.

To find our solution, subtract 8 from 12

12-8=4
8 0
2 years ago
Read 2 more answers
Clark plans to fertilize his yard this summer. His yard is 40 feet wide a 60 feet long. thus included a 4 foot wide and 20 foot
MAXImum [283]

To figure this out, first, figure out the area of the whole yard:

The equation for area is length*width.

So, 60 ft long*40 ft wide=2400 square feet.

But the flower bed will not be fertilized, so we subtract that out:

Again, area of the flower bed is length*width.

20 ft long*4 ft wide=80 square feet.

Then, just subtract the area of the flower bed from the total area:

2400 square feet-80 square feet=2320 square feet.

So, 2320 square feet of Clark's yard will be fertilized.

7 0
2 years ago
A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those
zaharov [31]

Answer:

p_v =2*P(Z

Step-by-step explanation:

Data given:

                    Today    Five Years Ago

Mean  82  88

Variance        112.5  54

Sample Size 45  36

Data given and notation

\bar X_{today}=82 represent the mean for the sample today

\bar X_{five years ago}=88 represent the mean for the sample five years ago

\sigma_{today}=10.607 represent the population standard deviation for the sample today

\sigma_{five years ago}=7.348 represent the population standard deviation for the sample five years ago

n_{today}=45 sample size for the group today

n_{five years ago}=36 sample size for the group five years ago

t would represent the statistic (variable of interest)

\alpha significance level

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different, the system of hypothesis would be:

Null hypothesis:\mu_{today}=\mu_{five years ago}

Alternative hypothesis:\mu_{today} \neq \mu_{five years ago}

Since we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

z=\frac{\bar X_{today}-\bar X_{five years ago}}{\sqrt{\frac{\sigma^2_{today}}{n_{today}}+\frac{\sigma^2_{five years ago}}{n_{five years ago}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Determine the critical value(s).

Based on the significance level assumed \alpha=0.01 and \alpha/2=0.005 we can find the critical values with the normal standard distribution, we are looking for values that accumulates 0.005 of the area on each tail on the normal distribution.

For this case the two values are z_{\alpha/2}=-2.58 and z_{1-\alpha/2}=2.58

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

z=\frac{82-88}{\sqrt{\frac{10.607^2}{45}+\frac{7.348^2}{36}}}}=-3  

What is the p-value for this hypothesis test?

Since is a bilateral test the p value would be:

p_v =2*P(Z

3 0
3 years ago
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