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shutvik [7]
3 years ago
14

Using the dimensions of a new scale drawing created using a scale factor of 0.15, find the dimensions of the original rectangle.

Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

Width: 15.8 ft

Length: 32ft

Step-by-step explanation:

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1. Melissa went to lunch with two friends. She purchased 3 corn dogs, 2 fruit cups, and
Lena [83]

Answer:

14 is the answer.

Step-by-step explanation:

7 0
3 years ago
A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a
antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so X = 1070

SAT scores have a mean of 950 and a standard deviation of 155. This means that \mu = 950, \sigma = 155.

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

Z = \frac{1070 - 950}{155}

Z = 0.77

ACT:

Scored 25, so X = 25

ACT scores have a mean of 22 and a standard deviation of 4. This means that \mu = 22, \sigma = 4

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

Z = \frac{25 - 22}{4}

Z = 0.75

Due to the higher z-score, he did better on the SAT.

8 0
3 years ago
Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week but is paid a commission on
Luba_88 [7]

Answer:  Natalie make $ 367.5 in a week  in which she made $225 in sales .

Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

Step-by-step explanation:

Base Salary of Natalie =  $300

Also, she gets 30% of the her total sales for the week.

If total sales in a week = $225

commission = 30% of $225

= $ ( 0.30 × 225)

= $ 67.5

Natalie got = Base Salary  + Commission

= $300 + $ 67.5

= $ 367.5

∴ Natalie make $ 367.5 in a week  in which she made $225 in sales .

If total sales in a week = $x

commission = 30% of $x

= $ ( 0.30 × x)

= $ 0.30 x

Natalie got = Base Salary  + Commission

= $ ( 300+x )

∴ Natalie make $ ( 300+x ) in a week  in which she made $ x  in sales .

7 0
3 years ago
I bought three shirts that had equivalent retail values I use 15 gift certificate at the time of purchase and paid a total of 81
Vlada [557]

Answer:

Each shirt costed $27

each

Step-by-step explanation:

HOPE IT HELPS!!! please mark brainliest :)

4 0
2 years ago
Find a a pair of numbers of both 4y-4x=48 and y= x-11
stich3 [128]

Answer:

There is no solution because the slopes of the line are the same.

Step-by-step explanation:

4y - 4x = 48

    + 4x    + 4x        Add 4x to both sides

4y = 4x + 48          Divide both sides by 4

y = x + 12

Now set both equations equal to each other since they equal y

x + 12 = x - 11

-x         - x           Subtract x from both sides

12 ≠ -11                No Solution

If this answer is correct, please make me Brainliest!

4 0
3 years ago
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