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OlgaM077 [116]
3 years ago
12

Find the area of a figure

Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

4.62 sq ft

Step-by-step explanation:

Area of rectangle = 2.5 x 1 = 2.5

To get area of triangle we must use the altitude theorem to find the height:

let 'x' = altitude (or height)

x/1.5 = 2/x

cross-multiply to get:

x² = 3

x = \sqrt{3}

Area of triangle = 1/2(2.5)(\sqrt{3})

= 1.25\sqrt{3} which is approx 2.12

Total area = 2.5 + 2.12 = 4.62

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Juan and his father went on a driving trip.
Jet001 [13]

Answer:

162

Step-by-step explanation:

260/2=130

130+32=162

8 0
3 years ago
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Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insu
IceJOKER [234]

Answer:

A. 0.0049

B. Yes

Step-by-step explanation:

Sample proportion = 0.64

N = 1000

Population proportion = 0.60

We solve for standard deviation

= √p(1-p)/n

= √0.60(1-0.60)/1000

= √0.60x0.40/1000

= √0.00024

= 0.0155

A.

The probability of sample >=0.64

Z>=0.64-0.60/0.0155

Z >= 0.04/0.0155

So z >= 2.5806

Using excel this equal to 0.0049

0.0049 is probability of sample proportion being 0.64 at least.

B.

This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.

3 0
3 years ago
You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each. Write an expression
aliya0001 [1]

Given that the number of tickets that are sold for $5 is (3t+2) tickets.

The number of tickets that are sold for $7 is (2t+5) tickets.

We need to determine the expression that represents the total number of tickets sold and the simplified expression.

<u>Total number of tickets sold:</u>

The expression for (3t+2) tickets sold for $5 is given by

5(3t+2)

The expression for (2t+5) tickets sold for $7 is given by

7(2t+5)

The expression for the total number of tickets sold is given by

5(3t+2)+7(2t+5)

Thus, the expression that represents the total number of tickets sold is 5(3t+2)+7(2t+5)

<u>Simplified expression:</u>

We need to simplify the expression 5(3t+2)+7(2t+5)

Hence, let us multiply the terms within the bracket.

Thus, we get;

15t+10+14t+35

Adding the like terms, we have,

29t+45

Thus, the simplified expression is 29t+45

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3 years ago
In what statistical measurement would you be most interested when considering housing prices in a particular city?
Sophie [7]

Answer:

Median

Explanation:

Real estate prices are virtually usually biased to the right. If we estimate the price of a typical home in a city at $500,000. We would have no trouble locating properties for $2 million and $3 million, and perhaps even some $5 or $6 million residences. However, you won't find houses for under $1.5 million. Because of this, the mean value is pulled toward the high end more than the median value.

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What is the range for the set of data? 6, 7, 10, 12, 12, 13​
seropon [69]
The range of the data is 6-13
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