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2 years ago

PLEASE HELP Complete the table below to find solutions to the linear equation y=5x+35.

Mathematics

1 answer:

Eddi Din [679]2 years ago

6 0

Answer:

x | y | (x,y)

0 | 35 | (0,35)

3 | 50 | (3,50)

-7 | 0 | (-7,0)

Step-by-step explanation:

Given the equation: $y = 5x + 35$ , to complete the table, plug in the value of x given in the table in each row, to find y.

When x = 0,

$y = 5(0) + 35$

$y = 0 + 35$

$y = 35$

(0,35)

When x = 3,

$y = 5(3) + 35$

$y = 15 + 35$

$y = 50$

(3,50)

When x = -7,

$y = 5(-7) + 35$

$y = -35 + 35$

$y = 0$

(-7,0)

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In a recent survey of college professors, it was found that the average amount of money spent on entertainment each week was nor

Alenkinab [10]

Answer:

0.0918

Step-by-step explanation:

We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The mean and standard deviation of average spending of sample size 25 are

μxbar=μ=95.25

σxbar=σ/√n=27.32/√25=27.32/5=5.464.

So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The z-score associated with average spending $102.5

Z=[Xbar-μxbar]/σxbar

Z=[102.5-95.25]/5.464

Z=7.25/5.464

Z=1.3269=1.33

We have to find P(Xbar>102.5).

P(Xbar>102.5)=P(Z>1.33)

P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)

P(Xbar>102.5)=0.5-0.4082

P(Xbar>102.5)=0.0918.

Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.

5 0

2 years ago

The average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and

statuscvo [17]

Answer:

1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.

2) between 20 and 25 --> 21-25/2.9 = -1.38

Step-by-step explanation:

Problem #1:

Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.

= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414

<em>P-value from Z-Table:</em>

Problem #2:

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1 year ago

Function h models an object's height in feet after x seconds have passed. Which equation shows that the object's height increase

ASHA 777 [7]

Answer:

Step-by-step explanation:

We know that function <em>h</em> represents an object's height in feet after <em>x</em> seconds.

In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.

Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.

Therefore, neither A nor B are correct.

Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.

In other words, the object's height increased by 100 feet over the first 15-second period.

Option C is correct.

For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.

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2 years ago

5 more than the sum of p and a

leva [86]

X=5+(p+a). I think thats right idk tho

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2 years ago

I-Ready

Elena-2011 [213]

Answer:15

Explanation: I just did it and that's what i ready said lol

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1 year ago