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Citrus2011 [14]
2 years ago
10

Write the equation for the line in the graph in y=mx+b form.

Mathematics
1 answer:
babunello [35]2 years ago
7 0
The answer is number 3. y=(-2/3)x +5
You might be interested in
I'm not sure where to begin, can someone help me begin?
VLD [36.1K]
First, convert the mixed number into an improper fraction.
To convert a mixed number into an improper fraction, find the product of the whole number and the denominator and then add the numerator.
Then the denominator will be the original denominator from the mixed number.

1 \frac{1}{3} = \frac{4}{3}

Now the fraction \frac{4}{3} is being raised to the third power negative.
When an exponent is negative, it means to take the reciprocal of the number then raise it to the power of the absolute value of the exponent.

In a mathematical expression: x^{-n} = \frac{1}{x^n}

So, first take the reciprocal of \frac{1}{3} which is 3.

Then raise 3 to the absolute value of the exponent. The exponent is -3.
The absolute value of -3 is 3.

3^3 = 3 * 3 * 3 = 27

So, the answer is 27.
7 0
3 years ago
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=70°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot
Radda [10]

Answer:

CD = 4.4ft

Step-by-step explanation:

Given

DE = 12

\angle C = 70^\circ

Required

Find CD

This question is represented with the attached triangle

To solve CD, we make use of tan formula.

tan(70) = \frac{DE}{CD}

Substitute 12 for DE

tan(70) = \frac{12}{CD}

Make CD the subject

CD = \frac{12}{tan(70)}

CD = \frac{12}{2.7475}

CD = 4.4ft --- approximated

6 0
2 years ago
Read 2 more answers
If there are 3.5 boxes of lettuce in the cooler, how many bags of lettuce would there be?
ddd [48]
How many lettuce per box
8 0
3 years ago
A lawn can be mowed by 8 people in 6 hours. If 3 people take the day off and do not help mow the grass, how many hours will it t
JulijaS [17]

If 3 people take the day off, they will need (9 + 3/5) hours to mow the lawn. The correct option is B.

<h3>How many hours will it take to mow the lawn?</h3>

Let's say that each person works at a rate R.

8 people can mow the lawn in 6 hours, then we can write:

(8*R)*6 hours = 1 lawn.

Solving for R:

R = (1/48 lawns per hour).

If 3 people take the day off, then the lawn is mowed by 5 people in a time T, then we need to solve:

(5*R)*T = 1 lawn.

Replacing the value of R:

(5/48 lawns per hour)*T = 1 lawn.

Then we have:

T = (48/5) hours.

We can rewrite that as:

T = (45/5 + 3/5) hours

T = 9 + 3/5 hours.

Then we conclude that the correct option is B.

If you want to learn more about rates:

brainly.com/question/8728504

#SPJ1

3 0
2 years ago
The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds
Roman55 [17]

Answer:

The probability that he weighs between 170 and 220 pounds

P( 170 ≤ x≤ 200) = 0.3811

Step-by-step explanation:

<u><em>Explanation:</em></u>-

Given mean of the Population = 200 pounds

Given standard deviation of the Population = 50 pounds

Let 'X' be the random variable of the weights of college football players are normally distributed.

Let   x₁ = 170

Z_{1} = \frac{x_{1} - mean}{S.D}

Z_{1} = \frac{170 - 200}{50}= -0.6

Let   x₂ = 220

Z_{2} = \frac{x_{2} - mean}{S.D}

Z_{2} = \frac{220 - 200}{50}= 0.4

<em>The probability that he weighs between 170 and 220 pounds.</em>

<em>P( 170 ≤ x≤ 200) = P(Z₁ ≤z≤Z₂)</em>

                          =  P(-0.6 ≤z≤0.4)

                          = P(z≤0.4)-P(z≤-0.6)

                         =  0.5 + A(0.4) -(0.5 - A(-0.6)

                        =   A(0.4) + A(0.6)       A(-z) = A(z)

                       = 0.1554 +0.2257   ( check<em> Areas in normal table)</em>

<em>                       = 0.3811</em>

<u><em>Conclusion</em></u><em>:-</em>

<em>The probability that he weighs between 170 and 220 pounds</em>

<em>P( 170 ≤ x≤ 200) = 0.3811</em>

7 0
2 years ago
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