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marusya05 [52]
3 years ago
6

-4x+8y=24 in slope intercept form

Mathematics
1 answer:
omeli [17]3 years ago
7 0

Answer:

y=1/2x+3

Step-by-step explanation:

-4x+8y=24

Slope-intercept form: y=mx+b

Add -4x on each side

-4x+8y=24

+4x       +4x

8y=4x+24

Divide by 8 on each side

<u>8y</u>=<u>4x+24</u>

8        8

y=4/8x + 3

Simplify 4/8x

y=1/2x+3  

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Readings on a thermometer are normally distributed with a mean of 0C° and a standard deviation of 1.00. What is the probability
hichkok12 [17]

Given mean = 0 C and standard deviation = 1.00

To find probability that a random selected thermometer read less than 0.53, we need to find z-value corresponding to 0.53 first.

z= \frac{x-mean}{standard deviation}  = \frac{0.53-0}{1.00} = 0.53

So, P(x<0.53) = P(z<0.53) = 0.701944

Similarly P(x>-1.11)=P(z>-1.11) = 1-P(z<-1.11) = 0.8665

For finding probability for in between values, we have to subtract smaller one from larger one.

P(1.00<x<2.25) = P(1.00<z<2.25) = P(z<2.25)- P(z<1.00) = 0.9878 - 0.8413 = 0.1465

P(x>1.71) = P(z>1.71) = 1-P(z<1.71) = 1-0.9564 = 0.0436

P(x<-0.23 or x>0.23) = P(z<-0.23 or z>0.23)  =P(z<-0.23)+P(z>0.23) = 0.409+0.409 = 0.918

4 0
3 years ago
-. A businessman plans to retire in 30 years. As part of his retirement plan, he has
stepladder [879]

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

A = P(1 + \frac{r}{100})^{t}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 8000(1 + \frac{6}{100})^{30}

A = 8000(1 + 0.06)^{30}

A = 8000(1.06)^{30}

A = 8000(5.7435)

A = $45948

7 0
2 years ago
Given the domain values {-3, 0, 3} what is the range for the equation f(x) = −5x + 2? Question options: {-3, 0, 3} {-6, 2, 6} {-
Fynjy0 [20]

The range is the set of all possible output, as you feed the function with all possible inputs. Since our inputs (domain) are -3, 0, 3, our outputs are

f(-3) = 15+2 = 17\\f(0)=0+2 = 2\\f(3) = -15+2 = -13

So, the range is

\{-13, 2, 17\}

5 0
3 years ago
A box spring in the shape of a rectangular prism has a length of a 40 in., a width of 80 in., and a height of 4 of 9 in. what is
gladu [14]
19,200 ! To get the surface area of the rectangular prism you have to get the area of each side. Length x Width x Sides(6 in your case).
7 0
3 years ago
Max poured a concrete slab as the foundation for his new garden shed. I do not understand this question if you can explain what
kotykmax [81]

Answer:

sorry I don't know about this

Step-by-step explanation:

sorry I don't know about this

7 0
2 years ago
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