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3 years ago

What is the equation of the line that passes through (5,-3) and (3,7)

Mathematics

1 answer:

Sliva [168]3 years ago

6 0

Answer:

-5x +22

Step-by-step explanation:

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The mean life of a particular brand of light bulb is 1200 hours. if you know that at about 95% of this brand of bulbs will last

Snowcat [4.5K]

204
First, lookup a standard normal table and see what the z-score is for 0.025 (one half of 100% - 95%) to allow for equal sized tails. You should find that the z-score is 1.96. That means that 95% of the time, the value should be within 1.96 standard deviations of the mean. Now let's calculate the standard deviation. 800 is 800 - 1200 = -400 to the left of the mean of 1200. 1600 is 1600 - 1200 = 400 to the right of the mean of 1200. So we are an equal distance of 400 on both sides of the mean. And we know from the z-score of 1.96, that we're 1.96 standard deviations from the mean. So a little division will give us the standard deviation. Which is: 400 / 1.96 = 204.0816327
So the standard deviation of the light bulbs is 204

4 0

3 years ago

Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher

Sliva [168]

The value of $f(g(x))$ is $6x^{3} +4$

Explanation:

The function $f(x)$ is given by

$f(x)=2x^{2} +4$

The function $g(x)$ is given by

$g(x)=\sqrt{3x^{3} }$

To determine the value of $f(g(x))$ , let us first substitute the value of $g(x)$ .

Thus, we get,

$f(g(x))=f(\sqrt{3x^{3} } )$

Now, substituting for $x=\sqrt{3x^{3} }$ in the function $f(x)$ , we get,

$f(g(x))=2(\sqrt{3x^{3} } )^2+4$

Simplifying, the expression, we get,

$f(g(x))=2({3x^{3} } )+4$

Multiplying the term within the bracket, we have,

$f(g(x))=6x^{3} +4$

Thus, the value of $f(g(x))$ is $6x^{3} +4$

Hence, the value of $f(g(x))$ represents the total amount of money that Barrett earns for working x hours.

4 0

2 years ago

15. Find the length of x. Round to 1 decimal place.

BabaBlast [244]

15/x = 5/11

5x = 165

x = 33

6 0

2 years ago

Can someone help and explain and do the solution pls :(

brilliants [131]

Consider ∆JWZ and ∆JKZ

WZ~KJ (given)

/ WZJ~/ KJZ (given)

JZ~JZ (common)

Therefore,

∆JWZ~∆JKZ by SAS congruence rule.

JW~ZK by CPCT.

6 0

2 years ago

The bells are adding a new room to their house. The room will be a cube with volume of 5,832 ft^3. They are going to put in hard

gtnhenbr [62]

1620 because 5832 is 18 to the 3rd power which means that because it is a cube 18 to the second power will be able to find the base which 324 ft^2, multiplying that by 5 dollar gets 1,620 dollars

4 0

3 years ago