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padilas [110]
3 years ago
7

Write the slope-intercept form (y=mx+b) of the equation of the line through the given slope.​

Mathematics
1 answer:
olasank [31]3 years ago
5 0

Answer:

y = (-5/2)x + 1

Step-by-step explanation:

y = (-5/2)x + c

When x = 2, y = -4

-4 = (-5/2)(2) + c

-4 = -5 + c

c = -4 + 5 = 1

y = (-5/2)x + 1

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A peice is paper is 8 1/2 inches by 11 inches. what is the area of the piece of paper?
galina1969 [7]

Answer:

93.5 inches

Step-by-step explanation:

Length times width

4 0
3 years ago
Nathan started with $50.32. He bought a T-shirt for $12.95 and a sweatshirt for $31.59. How much money does Nathan have left?
Umnica [9.8K]

Answer:

5.78.......

Step-by-step explanation:

4 0
3 years ago
Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage.
ra1l [238]

Answer:

a) 0.923

b) 0.957

c) 0.88

d) 0.077    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40

Standard Deviation, σ = 14

We are given that the distribution of number of milligrams of porphyritic per deciliter of blood is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(xis less than 60)

P(x < 60)

P( x < 60) = P( z < \displaystyle\frac{60 - 40}{14}) = P(z < 1.4285)

Calculation the value from standard normal z table, we have,  

P(x < 60 ) =0.923 = 92.3\%

b) P(x is greater than 16)

P(x > 16) = P(z > \displaystyle\frac{16-40}{14}) = P(z > -1.7142)\\\\P( z > -1.7142) = 1 - P(z \leq -1.7142)

Calculating the value from the standard normal table we have,

1 - 0.043 = 0.957 = 95.7\%\\P( x > 16) = 95.7\%

c)P(x is between 16 and 60)

P(16 \leq x \leq 60) = P(\displaystyle\frac{16 - 40}{14} \leq z \leq \displaystyle\frac{60-40}{14}) = P(-1.7142 \leq z \leq 1.4285)\\\\= P(z \leq 1.4285) - P(z < -1.7142)\\= 0.923 - 0.043= 0.88 = 88%

P(16 \leq x \leq 60) = 88\%

d)  P(x is more than 60)

P(x > 60)  = 1 - P(x < 60) = 1 - 0.923 = 0.077

6 0
3 years ago
Six less than a number a 7 times a number is 85
77julia77 [94]

Answer:

7x-6=85

Step-by-step explanation:

7×number for example x

then subtract 6 from that

then you have 85

8 0
3 years ago
Read 2 more answers
Suppose the coefficient matrix of a linear system of three equations in three variables has a pivot in each column. Explain why
Elis [28]

The system has a unique solution. Because the augmented matrix can be reduced to the form of the identity matrix.

<h3>What exactly is a linear system?</h3>

It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.

The augmented matrix must be reduced to the form of the identity matrix since there are three pivots one in each row.

Whatever is on the opposite side of the equal sign, there is a solution that is specific and exists.

Hence, the system has a unique solution.

To learn more about the linear system, refer to the link brainly.com/question/20379472.

#SPJ1

7 0
2 years ago
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