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Natali5045456 [20]
2 years ago
6

Solve the percent problem 76 gallons is 126% of ___ gallons. Round to the nearest hundredth, if necessary.

Mathematics
1 answer:
Burka [1]2 years ago
7 0

Answer:

60.32

Step-by-step explanation:

126%=1.26

60.32*1.26=76.0032

76.0032≈76

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drishyam 2 train to bysan

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how many restaurants have hawaiin pizza on their menu if 7.5% of the 100 restaurants served hawaiin pizza
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What is the approximate average rate of change over the interval [2, 6]?
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Step-by-step explanation:

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bought a new car in 2011 for 25000. in 2015, joe was offered a fair price of 12000 for his car but he turned it down. build a li
Mrrafil [7]

Answer:

y=-3,250t+25,000

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope of unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

t ----> the number of years since 2011

y --->the car's value

In this problem the year 2011 represent t=0

so

the year 2015, represent t=4 years (2015-2011)

we have the ordered pairs

(0,25,000) ----> represent the y-intercept

(4,12,000)

<em>Find the slope m</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{t2-t1}

substitute the values

m=\frac{12,000-25,000}{4-0}

m=\frac{-13,000}{4}

m=-\$3,250\ per\ year ---> is negative because is a decreasing function

we have

b=\$25,000 ----> value of y when the value of x is equal to zero (initial value)

substitute the given values

y=-3,250t+25,000

3 0
2 years ago
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est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean
Arte-miy333 [17]

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Step-by-step explanation:

Z-score:

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.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so \mu = 79, \sigma = 4.5

Student got 84, so X = 84

The z-score is:

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

Z = \frac{84 - 79}{4.5}

Z = 1.11

The z-score for the statistics test grade is of 1.11.

Calculus:

Mean of 69, standard deviation of 3.7, so \mu = 69, \sigma = 3.7

Student got 96, so X = 96

The z-score is:

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

Z = \frac{96 - 69}{3.7}

Z = 7.3

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

7 0
3 years ago
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