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qaws [65]
3 years ago
13

Find an equation of the line in the form whose​ x-intercept is 15 and​ y-intercept is 3​, where​ a, b, and c are integers with n

o factor common to all​ three, and agreater than or equals0
Mathematics
1 answer:
madreJ [45]3 years ago
5 0

x-intercept = (15, 0)                  y-intercept = (0, 3)

slope (m) = (y₂ - y₁)/(x₂ - x₁) = (0 - 3)/(15 - 0) = -3/15 = -1/5

Point-Slope formula: y - y₁ = m(x - x₁)   ; where (x₁, y₁) is one of the given points

y - 0 = (-1/5)(x - 15)

    -5y = x - 15

             x + 5y = 15

Answer: x + 5y = 15

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What are the coefficients and constants in 4-4y+y-3
Aleks04 [339]
Constants are 4,3. The coefficient is 4.
6 0
2 years ago
2(x-3)=7x-31<br><br> 3x-2 (x+5)=-3+18<br><br> Please show your work
vredina [299]
2(x-3)=7x-31
2x-6=7x-31
-7x    -7x
----------------
-5x-6=-31
     +6   +6
--------------
-5x=-25
Divide by -5
x=5

3x-2(x+5)=-3+18
                     15
3x-2(x+5)=15
3x-2x-10=15
x-10=15               
 +10 +10
--------------
x=25
3 0
2 years ago
Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random
Fudgin [204]

Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

<em>Let </em>\bar X<em> = sample mean</em>

The z-score probability distribution for sample mean is given by;

               Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean = $50,000

            \sigma = population standard deviation = $25,000

            n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P(\bar X > $52,000)

  P(\bar X > $52,000) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } } ) = P(Z > 2.53) = 1 - P(Z \leq 2.53)

                                                                    = 1 - 0.9943 = 0.0057

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.</em>

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

5 0
2 years ago
What is the area of this rectangle?
nexus9112 [7]
L x W =H

7 x 5 = 35 cm^2

Answer: Choice C

Hope that helps. -UF aka Nadia


6 0
3 years ago
What fraction is equal to 6? 1/6, 6/6, 6/1, 6/10, or 6/60
inna [77]

Answer:

6/10

Step-by-step explanation:

7 0
3 years ago
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