Todd and Garrett began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Todd took a test in Math and earned a 74.6, and Garrett took a test in English and earned a 68.8. Use the fact that all the students' test grades in the Math class had a mean of 70.6 and a standard deviation of 11.9, and all the students' test grades in English had a mean of 63.7 and a standard deviation of 8.6 to answer the following questions.

Required:
a. Calculate the z-score for Todd's test grade.
b. Calculate the z-score for lan's test grade.
c. Which person did relatively better?

i believe that would be the answer. im sorry if its wrong-

Answer:

4 = x

Step-by-step explanation:

To solve for the value of x

-36 = -3x -4 -5x

Transpose and solve

-36 = -8x -4

-36 + 4 = -8x

-32 = -8x

-32 ÷ -8 =x

Both the negative signs will be cancelled

4 = x

Answer:

A probability must be between zero and one.

Step-by-step explanation:

Probability is the chance of something occuring. 120% is not realistic in real world examples, because the probability standard ranges from "definitely will not happen" to "definitely will happen", meaning a 0% chance of it occurring to 100% chance of it occurring. The only time 100.0%+ will be applicable are typically in simulations, which allows for such to counterbalance any negatives percentages that is allocated to the target. However, in the real world, it will never go over 100%.

Answer:

Step-by-step explanation: The answer is: 2

Answer:

D. Subtract 15 cents and add 29 cents

Step-by-step explanation:

He should subtract 15 cents and add 29 cents. This is because at 33.85 we estimated to 34 dollars which was 15 cents higher, so we must subtract by 15 to get to the exact cost. We also need to add 29 cents since we rounded down from 16.29 to 16.

Answer:

Multiplica la primera equation por 5 y la segunda por 2, sumas y eliminas las y.

10y - 10y = 0

También, multiplicas la primera equation por 3 y la segunda por 7, sumas y eliminas las x

-21x + 21x = 0

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

(100 - 40) ÷ 10 = Amount of Hours

= 6 Hours.

Hope this helps.

The relationship between temperature and the number of chirps based on the information given goes thus :

Let :

1.) Chirps per minute if temperature is 90°F

Put f = 40°F into the equation :

[tex] 90 - 40 = \frac{n}{3}[/tex]

[tex] 50 = \frac{n}{3}[/tex]

[tex] n = 50 \times 3 = 150 chirps [/tex]

2.) Fahrenheit temperature if n = 72

[tex] f - 40 = \frac{72}{3}[/tex]

Cross multiply

[tex] 3(f - 40) = 72[/tex]

[tex] 3f - 120 = 72[/tex]

[tex] 3f = 72 + 120 [/tex]

[tex] 3f = 192[/tex]

[tex] f = \frac{192}{3} = 64 [/tex]

3.)

The equation for the relationship with f = Fahrenheit temperature and x = number of chirps

[tex] f - 40 = \frac{x}{3}[/tex]

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Answer:

a 3.5 % return is .035/12 - .002917 / mo

10 years is 120 mos.

This is basically an annuity payment - after 10  years 1$, deposited monthly, would be worth (similar to house mortgage, etc.)

N = (1 - (1 + i)^-120) / i  = 241.73

Total amount = 25 * 241.73 = 6043

Note 120 payments at $25 = 3000

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Let's solve for w :

hence , value of w = 2 ~

Answer:

Choice d. w = 2 is correct

Step-by-step explanation:

[tex] \\ \frac{2w + 4}{2} = 6 - w[/tex]

[tex] \\ \mapsto2w + 4 = 2(6 - w)[/tex]

[tex] \\ \mapsto2w + 4 = 12 - 2w[/tex]

[tex] \\ \mapsto2w + 2w = 12 - 4[/tex]

[tex] \\ \mapsto4w = 8[/tex]

[tex] \\ \mapsto \: w = \frac{8}{4} [/tex]

[tex] \\ \mapsto \: w = 2[/tex]

Thus, the value of w is 2

Answer:

slopeᵥᵥ = 4/5

Step-by-step explanation:

mᵥ = (8-4)/(9-4) = 4/5

Answer:

AB=12m<6

BD=23m>7

Step-by-step explanation:

Answer:

s≥11

Step-by-step explanation:

5 ≤ s -6

=5 + 6 ≤ s

=11 ≤ s or s≥11

The solution to given inequality  5 ≤ s − 6 for s will be s ≥ 11.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Given the inequality,

5 ≤ s − 6

Subtracting by 5 on both sides,

5 - 5 ≤ s - 6 - 5

0 ≤ s - 11

Adding 11 on both sides

0 + 11 ≤ s - 11 + 11

11 ≤ s or s ≥ 11

Hence "The solution to given inequality  5 ≤ s − 6 for s will be s ≥ 11".

For more about inequality,

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Answer:

6 3/10 / 5 1/4 = 1.2

Step-by-step explanation:

Answer:

1 2/10, 12/10, or 1.2

Step-by-step explanation:

6 3/10 as a fraction is 63/10

5 1/4 as a fraction is 21/4

63/10 ÷ 21/4

=63/10 • 21/4

=1 2/10

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

25/100

divide both sides with 25

[tex] \frac{25 \div 25 }{100 \div 25} [/tex]

simplify

= 1/4

Answer:

1/4

Step-by-step explanation:

Find HCD (Highest Common Factor) for both numerator and denominator.

The HCF for 25 and 100 is 25

Now divide the numerator and denominator by 25  

(25/25) / (100/25)

1/4

And Viola, you got your simplified form!

Answer:

[tex]slop = \frac{y2 - y1}{x2 - x1} \\ considertwo \: points \: \: 5 \: 17and \: 6 \: 18 \\ y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1) \\ y - 17 = \frac{18 - 17}{6 - 5} (x - 5) \\ y - 17 = x - 5 \\ y = x - 5 + 17 = x + 12 \\ good \: luck[/tex]

Answer:

f(x)=x+12

Step-by-step explanation:

To check if it is right:

plug in the numbers to the equation

f(x)=5+12=17

f(x)=6+12=18

Answer: neither

Step-by-step explanation:

2y=-5x+14/2

y = -5/2 x + 7

m=-5/2

y=-5x+9

m=-5

Answer:

$2.6

Step-by-step explanation:

12/4=3 that means each paintbrush cost $3

3.20/8=0.4 that means each pen cost $0.40

3-0.4=2.6

Answer:

625

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

4(3m-2)+2(2m-1)

4(3×5-2)+2(2×5-1)

4×13+2×9

52+2×9

52+18

The gambler can expect to lose $3.06 per play on average.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given:

The sample space for rolling two 6-sided dice, there are 36 possible outcomes

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

The possibility of getting sum of three is (1,2) and (2,1)

and, The possibility of getting sum of ten is (4,6), (5,5), and (6,4)

Thus, the expected winning on a role is

= (2/36) x 20 + (3/36) x 10

= $1.94

If the gambler paid $5 which means

= -$5 +$1.94

= -3.06

Hence, The gambler can expect to lose $3.06 per play on average.

Learn more about sample space here:

https://brainly.com/question/28043513

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alicia's father is 48 years old

6*8= 48

Answer:

Yes I've had that too

Step-by-step explanation:

I had mine for about 5-6 months

Answer:

Yes, a concussion can cause long-term memory loss and recurring short-term memory loss, even weeks, months, or years after the head trauma. Usually, this is known as a symptom of post-concussion syndrome

Answer:

False

Step-by-step explanation:

a=3 b=-2 c=5 d=-4 e=-6

just replace the variables with the numbers.

ex.

e+4ab

-6+4(3)(-2)

-6+12(-2)

-6-24

-30

[tex] \sqrt{27 + {3}^{2} } + 5 \\ \sqrt{27 + 9 + 5 } \\ \sqrt{41 } \\ 6.4[/tex]

Answer:

D

Step-by-step explanation:

Area of H = 25pi

Area of J = 225pi

225pi/25pi = 9

Answer:

2, 5, 9, 10

Step-by-step explanation:

add 2 to the x value to find the f(x) value

Answer:

Step-by-step explanation:

man the formula is right there!

two points: (3,2) and (7,5)

[tex]y_2=5\\y_1=2\\x_2=7\\x_1=3\\slope=\frac{5-2}{7-3}=.75[/tex]

Answer:

0is the answer just guessing