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3 years ago

The figure shows the dimensions of a backyard

Mathematics

2 answers:

Ulleksa [173]3 years ago

8 0

Answer:

570yd^2

step by step:

Split the backyard into 2 different rectangles and add the areas together. I did 8x30 and 15x22.

max2010maxim [7]3 years ago

5 0

Answer: 570yd^2

Explaining: The area can be found by using the base and the height. Fist I will split the figure into two piece to make it easier to find. The first piece is solved by 30•15=450. The second figure can be solved by 8•15=120. Now add the total numbers together and you get 570yd^2

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Write in word form 7x10,000+5x10+4x1

Alex787 [66]

Seven times ten thousand plus five times ten plus four times 1

6 0

4 years ago

Read 2 more answers

Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null h

irakobra [83]

Answer:

We conclude that the population proportion is equal to 0.70.

Step-by-step explanation:

We are given that a random sample of 100 observations from a binomial population gives a value of pˆ = 0.63 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is less than 0.70.

Let p = population proportion.

(1) The intuition tells us that the population parameter p may be less than 0.70 as the sample proportion comes out to be less than 0.70 and also the sample is large enough.

(2) So, Null Hypothesis, $H_0$ : p = 0.70 {means that the population proportion is equal to 0.70}

Alternate Hypothesis, $H_A$ : p < 0.70 {means that the population proportion is less than 0.70}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 0.63

n = sample of observations = 100

So, the test statistics = $\frac{0.63-0.70}{\sqrt{\frac{0.70(1-0.70)}{100} } }$

= -1.528

The value of z-test statistics is -1.528.

Now at 0.05 level of significance, the z table gives a critical value of -1.645 for the left-tailed test.

Since our test statistics is more than the critical value of z as -1.528 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population proportion is equal to 0.70.

(c) The observed level of significance in part B is 0.05 on the basis of which we find our critical value of z.

4 0

3 years ago

What is the equation

erastova [34]

Thats figure is made of 2 triangles and 1 rectangle
so we will find the area of triangles and rectangles then add them

Triangle Area=1/2*x/2*2=x/2

multiply by 2 as we have two triangles=2*x/2=x
Area of a rectangle=x*2=2x
Add them=x+2x=14(given area of trepaziod
3x=14

hope i am correct

6 0

3 years ago

Explain how you can write 35% as the sum of two benchmark percents or as a multiple of a percent

OlgaM077 [116]

I'll just take the points thanks XD

3 0

3 years ago

1/2x-9=-25 what is your answer

Elodia [21]

First, let's only the expression with x stay on the let side: let's add 9 to both sides of the equation.

$\frac{1}{2} x-9+9=-25+9$
which is
$\frac{1}{2}x=-16$

now, let's multiply everything by 2:

$\frac{2}{2} x=-16*2$
$x=-32$

so the answer is -32!

4 0

3 years ago