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2 years ago

7

A team of students is designing a new game to help their class review for a science test. They will make a rolling cube

1 answer:

Mumz [18]2 years ago

3 0

Answer: volume of the cube is (7 cm)^3= 343 cm^3

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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

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:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have $X = 85.1, \mu = 61.1, \sigma = 12$ . So

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

$Z = \frac{85.1 - 61.1}{12}$

$Z = 2$

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have $X = 299.2, \mu = 264, \sigma = 22$ .

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

$Z = \frac{299.2 - 264}{22}$

$Z = 1.6$

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have $X = 7.26, \mu = 7.1, \sigma = 0.4$ .

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

$Z = \frac{7.26 - 7.1}{0.4}$

$Z = 0.4$

Due to the higher Z-score, Demetria should be offered the job.

3 0

3 years ago

Solution for 8x-3(2x-4)=3(x-6)

NNADVOKAT [17]

The solution is x=30

4 0

3 years ago

-10(x+12)-11x.........................,............

NNADVOKAT [17]

-10x -120-11x
combine like terms so -10-11= -21x-120

7 0

2 years ago

A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the numbe

Elena-2011 [213]

The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.

Let

$y \to$ amount of drinks

$x \to$ number of drinks

For drinks not more than 50

$y = 10 + 0.8x$

For drinks more than 50.

$y = 15 + 0.7x$

For a purchase of $85, it means that:

$y = 85$

So, we solve for x in both equations.

$y = 10 + 0.8x$

$85 = 10 + 0.8x$

Collect like terms

$0.8x = 85-10$

$0.8x = 75$

Divide through by 0.8

$x = 93.75$

$x = 94$ --- approximated

$y = 15 + 0.7x$

$85 =15 + 0.7x$

Collect like terms

$0.7x = 85 - 15$

$0.7x = 70$

Divide by 0.7

$x = 100$

By comparing both values:

$x = 100$

$x = 94$

$100 > 94$

Hence, the maximum amount that can be purchased is 100

Read more about functions at:

brainly.com/question/20286983

5 0

2 years ago

Read 2 more answers

Find the 14th term in the sequence 1, 1/3, 1/9, … Find the sum of the first 10 terms of the sequence above.

pychu [463]

Answer:

This is a geometric progresion that begins with 1 and each term is 1/3 the preceeding term

Let Pn represent the nth term in the sequence

Then Pn = (1/3)^n-1

From this P14 = (1/3)^13 = 1/1594323

5. The sum of the first n terms of a GP beginning a with ratio r is given by

Sn = a* (r^n+1 - 1)/(r - 1)

With n = 10, a = 1 and r = 1/3, S10 = ((1/3)^11 - 1)/(1/3 - 1) = 1.500

6 0

2 years ago