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3 years ago

What is the equation of the graphed linear model? y = ? x + ?

Mathematics

1 answer:

miss Akunina [59]3 years ago

5 0

Use slope intercept form for equation, which is y = mx +b. m is slope and b is the y-intercept.

Find slope by change in y over change in x. So pick two points, for example (0, 24) and (2, 20). Slope (m) will be
(y2-y1)/(x2-x1)
= (24-20)/(0-2)
= 4/-2
m = -2

Y-intercept is 24.

Equation is y = -2x + 24

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What is the value of x in the equation 0, when y = 15? 4.

Tatiana [17]

Answer:

x =200

Step-by-step explanation:

$\frac{1}{5}x - \frac{2}{3}(15) =30\\\\\frac{1}{5}x-10=30\\\\\frac{1}{5}x=30+10\\\\\frac{1}{5}x=40\\\\x = 40*5\\x= 200$

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3 years ago

A company maintains a fleet of vehicles that consist of both cars and trucks. The miles per gallon realized in the cars follows

sergeinik [125]

Answer:

ii, the mpg for the trucks.

Step-by-step explanation:

A larger standard deviation means more variablilty

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2 years ago

suppose you drop a tennis ball from a height of 14 feet. After the ball hits the floor, it rebounds to 80% of its previous heigh

NemiM [27]

This is a geometric sequence of the form:

a(n)=ar^n, a=initial value, r=common ration, n=term number, if we relabel it for h(b) we have

h(b)=14(0.8^b)

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h(3)≈7.2 ft (to nearest tenth of a foot)

6 0

3 years ago

If x > 3, which of the following is equivalent

monitta

Answer:

B

Step-by-step explanation:

Let's simplify the given function.

$\frac{1}{\frac{1}{x+2} +\frac{1}{x+3} }$
$\frac{1}{\frac{x+3+x+2}{(x+2)(x+3)} }$
$\frac{(x+2)(x+3)}{2x+5}$

Now, let's take x = 4 as it is given x > 3.

(4 + 2)(4 + 3)/2(4) + 5
6(7)/13
42/13

Without evaluating, we can see the answer is B because on multiplying the factors in the numerator is simplified to the answer given in the option.

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2 years ago

A life insurance company wants to estimate its annual payouts. Assume that the probability distribution of the lifetimes of the

Sladkaya [172]

Answer:

By 71 years of age 80% of the plan participants have passed away.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 68 years and a standard deviation of 4 years.

This means that $\mu = 68, \sigma = 4$