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Dmitry [639]
3 years ago
12

HELP PLEASE I NEED HELPPPP

Mathematics
1 answer:
nlexa [21]3 years ago
3 0

Answer:

174 inches squared

Step-by-step explanation:

First, we have to remember what the area of a triangle is:

\frac{base*height}{2}

Since there are 4 of the same triangle, multiply the area of one triangle by 4:

\frac{10*8.7}{2}

\frac{87}{2}

43.5

43.5(4)=174

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The original price of a jacket is $130. The discount is 40%. Find the sale price.
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Answer:

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Step-by-step explanation:

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What are the values of x in the equation 4x2 4x – 3 = 0? x = –1.5, 0.5 x = –0.5, –1.5 x = x =?
Stolb23 [73]

Answer:

The values of x are

x=-1.5\ , 0.5

Step-by-step explanation:

we have

4x^{2}+4x-3=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

4x^{2}+4x=3

Factor the leading coefficient

4(x^{2}+x)=3

Complete the square. Remember to balance the equation by adding the same constants to each side.

4(x^{2}+x+.25)=3+1

4(x^{2}+x+.25)=4

(x^{2}+x+.25)=1

Rewrite as perfect squares

(x+0.5)^{2}=1

Square root both sides

x+0.5=(+/-)1

x=-0.5(+/-)1

x=-0.5+1=0.5

x=-0.5-1=-1.5

3 0
4 years ago
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A bank is investigating ways to entice customers to charge more on their credit cards. (Banks earn a fee from the merchant on ea
MAVERICK [17]

Answer:

CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\

CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )

The correct answer choice is a. (62.2, 113.8)

Step-by-step explanation:

Of the 500 customers who were told the increase applied to charges above $1000 each month, the average increase in spending was $527 with a standard deviation of $225.

Sample size = n₁ = 500

Sample mean = x₁ = $527

Standard deviation = s₁ = $225

Of the 500 customers who were told the increase applied to charges above $2000 each month, the average increase in spending was $439 with a standard deviation of $189

Sample size = n₂ = 500

Sample mean = x₂ = $439

Standard deviation = s₂ = $189

We are asked to find the 95% confidence interval for the difference between two means.

The given group of answer choices are

a. (62.2, 113.8)

b. (86.2, 120.5)

c. (10.3, 23.8)

d. (55.6, 67.8)

The confidence interval for the difference between two means is given by

CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\

Where \bar{x_{1} } and \bar{x_{2} } are the given sample means and margin of error is given by

$ MoE = z_{\alpha/2} \cdot \sqrt{\frac{s_{1}^2}{n_1} + \frac{s_{2}^2}{n_2}} $

The z-score corresponding to 95% confidence level is given by

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

From the z-table at α = 0.025 the z-score is 1.96

$ MoE = 1.96 \cdot \sqrt{\frac{225^2}{500} + \frac{189^2}{500}} $

MoE = 1.96 \cdot 13.14

MoE = 25.75

Finally,

CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\

CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )

Therefore, the correct answer choice is a. (62.2, 113.8)

How to use z-table?

In the z-table find the probability of 0.025

Note down the value of that row, it would be 1.9.

Note down the value of that column, it would be 0.06.

Add the two numbers together.

The z-score is 1.9 + 0.06 = 1.96

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4 years ago
In an animal shelter, the ratio of cats to dogs is 3 to 5. If there are a total of 120 animals at the shelter, how many cats do
Firdavs [7]

Answer:

B) 45 cats

Step-by-step explanation:

3/(3+5) = 3/8

3/8 of the animals are cats

3/8 × 120

45

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A florist makes 24 boquets. she used 16 flowers for each bouquet. altogether, how many flowers does she use ?
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Well, 24 bouquets and 16 flowers each we get:
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