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Agata [3.3K]
2 years ago
14

* Brittany's teacher tells her that she did well on the Statistics test - her z-score was 1.80 on the test. If the mean score on

the test was a 75 with a standard
deviation of 10, find Brittany's score
Mathematics
1 answer:
Leno4ka [110]2 years ago
8 0

Answer:

93

Step-by-step explanation:

Given that:

Brittany's Zscore = 1.8

Mean score (m) = 75

Standard deviation (s) = 10

Brittany's score (x) =?

Using the Zscore formula :

Zscore = (x - m) / s

1.8 = (x - 75) / 10

18 = x - 75

18 + 75 = x

93 = x

Hence, Brittany's score is 93

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6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0
2 years ago
Suppose the dealer incentive per vehicle for honda's acura brand in 2012 is thought to be bell-shaped and symmetrical with a mea
andreev551 [17]

Answer:

From $1600 to $3400.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 2500

Standard deviation = 300

What interval of dealer incentives would we expect approximately 99.7% of vehicles to fall within?

By the Empirical Rule, 99.7% fall within 3 standard deviations frow the mean. So

From 2500 - 3*300 = 1600 to 2500 + 3*300 = 3400.

8 0
2 years ago
A rectangular prism has a volume of 170 cubic centimeters. The length of the prism is 5 centimeters, and the height of the prism
luda_lava [24]

Answer:

The width of the prism is 2 cm

Step-by-step explanation:

The given parameters are;

The volume of the prism = 170 cm³

The length of the prism = 5 cm

The height of the prism = 17 cm

The volume of the prism is given by the  relationship v = Length, l × Height, h × Width, w

Therefore;

The volume of the prism = 5 cm × 17 cm × w = 170 cm³

Which gives;

w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm

∴ The width of the prism = 2 cm.

7 0
2 years ago
Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0
2 years ago
Solve the following quadratic equation using the quadratic formula and then choose the correct solution set. 6x2 - 7x + 2 = 0
gtnhenbr [62]
<span>6x^2 - 7x + 2 = 0
(3x-2)(2x-1) = 0

</span>3x-2 = 0
x = 2/3

2x-1=0
x=1/2

answer: x=1/2 and x =2/3
4 0
2 years ago
Read 2 more answers
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