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3 years ago

ENCHI

Mathematics

1 answer:

BabaBlast [244]3 years ago

7 0

Given :

A T.V. is measure by its diagonal.

To Find :

If the height of a 60 inch T.V. is 32 inches, what is the width.

Solution :

We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .

Let, width of T.V. is x.

Applying Pythagoras theorem in sides, we get :

$height^2 + width^2 = hypotenuse^2\\\\23^2 + x^2 = 60^2\\\\x = \sqrt{3600 -529 }\\\\x = 55.42 \ inches$

Therefore, width of T.V. is 55.42 inches.

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A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of co

Bogdan [553]

Answer:

We conclude that the majority of people prefer the taste of fresh-brewed coffee.

Step-by-step explanation:

We are given that of the 50 subjects who participate in the study, 16 prefer the instant coffee.

We have to test the claim that a majority of people prefer the taste of fresh-brewed coffee.

Let p = proportion of the population who prefer fresh-brewed coffee

So, Null Hypothesis, $H_0$ : p $\leq$ 50% {means that the majority of people does not prefer the taste of fresh-brewed coffee}

Alternate Hypothesis, $H_A$ : p > 50% {means that the majority of people prefer the taste of fresh-brewed coffee}

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

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

where, $\hat p$ = sample proportion who prefer fresh-brewed coffee = $\frac{34}{50}$ = 0.68

n = sample of subjects = 50

So, test statistics = $\frac{0.68-0.50}{\sqrt{\frac{0.68(1-0.68)}{50} } }$

= 2.73

The value of z test statistics is 2.73.

Now, P-value of the test statistics is given by;

P-value = P(Z > 2.73) = 1 - P(Z $\leq$ 2.73)

= 1 - 0.99683 = 0.0032

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of 1.645 for right-tailed test.

Since our test statistics is more than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the majority of people prefer the taste of fresh-brewed coffee.

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3 years ago

Ur. What is Akiko's unit rate in miles per hour?

artcher [175]

Answer:

Step-by-step explanation:

pic do you have

7 0

3 years ago

I WILL GIVE BRAINLYEST TO RIGHT ANSWER -4w - 4 =8 what is X equal to

Alecsey [184]

Answer:

w = -3

Step-by-step explanation:

-4w - 4 = 8

Combine the constants by adding 4 to both sides.

-4w = 12

Isolate w by dividing by -4.

w = -3

Check your work by plugging w = -3 into the original equation.

-4(-3) - 4 = 8

12 - 4 = 8

8 = 8

Your answer is correct.

8 0

3 years ago

A farmer has 96 apples to sell at the farmers market. She wants to bag the apples before going. How many ways can the farmer bag

Tcecarenko [31]

Answer and explanation:

Farmer's number of apples = 96 apples

Given that Farmer needs to bag the apples so that there are at least 4 apples in each bag(not less than 4 apples in each bag) and not more than 10 apples in each bag

And also all apples in each bag are equal

We need to find the numbers between 4 and 10(including 4 and 10) that can divide 96 without a remainder

4 can divide 96= 24

5 cannot divide 96 without remainder

6 can divide 96 =16

7 cannot divide 96 without remainder

8 can divide 96=12

9 cannot divide 96 without remainder

10 cannot divide 96 without remainder

From the above we see that the factors of 96 = 4, 6, 8 between 4 and 10

4 apples = 24 bags

6 apples = 16 bags

8 apples = 12 bags

Therefore, there can be 3 possible ways of having equal number of apples in each bag between 4 and 10 apples

8 0

2 years ago

Solve the inequality. 4│x + 5│ - 2 ≤ 10

castortr0y [4]

Step-by-step explanation: To solve this absolute value inequality,

our goal is to get the absolute value by itself on one side of the inequality.

So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

we have right now except for the absolute value.

For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

6 0

3 years ago

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