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3 years ago

8

Suzi is designing a path with parallelogram-shaped pavers as shown in the diagram. The area of the path is 120 square feet. Abou

t how many pavers will she need to cover the path?
40
60
120
160

2 answers:

marusya05 [52]3 years ago

4 0

Answer:

120

Step-by-step explanation:

I am taking the test rn

zmey [24]3 years ago

4 0

Answer:

120

Step-by-step explanation:

yw

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Question 8<br> What is (4x - 5)(6x + 5) expressed as a trinomial?

erica [24]

Answer:

24x^2 -10x - 25

Step-by-step explanation:

24x^2 + 20x - 30x - 25

24^2 -10x - 25

8 0

3 years ago

Read 2 more answers

Mr.Gadgets car broke down on the turnpike.Acme towing charged $30 plus $3 per mile to tow the car.If Mr.Gadget paid $174, how fa

aalyn [17]

The car was towed for 48 miles.

Step-by-step explanation:

Given,

Amount charges by Acme towing = $30

Per mile charges = $3

Total charged = $174

Let, x be the number of miles.

Towing charges + Per mile charges*number of miles = Total charged

30+3x=174

Subtracting 30 from both sides

$30-30+3x=174-30\\3x=144$

Dividing both sides by 3

$\frac{3x}{3}=\frac{144}{3}\\x=48$

The car was towed for 48 miles.

Keywords: linear equation, subtraction

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#LearnwithBrainly

8 0

3 years ago

A coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that

mafiozo [28]

Answer:

(a) The significance level of the test is 0.002.

(b) The power of the test is 0.3487.

Step-by-step explanation:

We are given that a coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that the probability is not 0.5.

The test rejects the null hypothesis if either 0 or 10 heads are observed.

Let p = <u><em>probability of obtaining head.</em></u>

So, Null Hypothesis, $H_0$ : p = 0.5

Alternate Hypothesis, $H_A$ : p $\neq$ 0.5

(a) The significance level of the test which is represented by $\alpha$ is the probability of Type I error.

Type I error states the probability of rejecting the null hypothesis given the fact that the null hypothesis is true.

Here, the probability of rejecting the null hypothesis means we obtain the probability of observing either 0 or 10 heads, that is;

P(Type I error) = $\alpha$

P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true) = $\alpha$

Also, the event of obtaining heads when a coin is thrown 10 times can be considered as a binomial experiment.

So, X ~ Binom(n = 10, p = 0.5)

P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true) = $\alpha$

$\binom{10}{0}\times 0.5^{0} \times (1-0.5)^{10-0} +\binom{10}{10}\times 0.5^{10} \times (1-0.5)^{10-10}$ = $\alpha$

$(1\times 1\times 0.5^{10}) +(1 \times 0.5^{10} \times 0.5^{0})$ = $\alpha$

$\alpha$ = 0.0019

So, the significance level of the test is 0.002.

(b) It is stated that the probability of heads is 0.1, and we have to find the power of the test.

Here the Type II error is used which states the probability of accepting the null hypothesis given the fact that the null hypothesis is false.

Also, the power of the test is represented by (1 - $\beta$ ).

So, here, X ~ Binom(n = 10, p = 0.1)

$1-\beta$ = P(X = 0/ $H_0$ is true) + P(X = 10/ $H_0$ is true)

$1-\beta$ = $\binom{10}{0}\times 0.1^{0} \times (1-0.1)^{10-0} +\binom{10}{10}\times 0.1^{10} \times (1-0.1)^{10-10}$

$1-\beta$ = $(1\times 1\times 0.9^{10}) +(1 \times 0.1^{10} \times 0.9^{0})$

$1-\beta$ = 0.3487

Hence, the power of the test is 0.3487.

3 0

3 years ago

I really need help. I've been stuck on this question for almost an hour.

S_A_V [24]

Ma=Mc is the correct answer

8 0

3 years ago

Graph y< 1/3 c + 1/2

castortr0y [4]

<h3>The Graph you need above </h3>

<h3>Step-by-step explaination : </h3>

<h3>Combine 1/3and x.</h3>

y<x/3+1/2

<h3>Use the slope-intercept form to find the slope and y-intercept.</h3><h3 />

Slope: 1/3

y-intercept: 1/2

<h3>Graph a dashed line, then shade the area below the boundary line since y is less</h3><h3>than x/3+1/2.</h3>

<h3>y<x/3+1/2</h3>

6 0

2 years ago