The scores on a test given to all juniors in a school district are normally distributed with a mean of 77 and a standard deviation of 8.

Find the percent of juniors whose score is between 61 and 77.

The percent of juniors whose score is between 61 and the mean is

There are no options

Answer:

-3.25 or -3 1/4

Step-by-step explanation:

-3.75

+ .5

_______

225× (_4) please help help me me my question solve please

Answer:

C

Step-by-step explanation:

Becasue its the first digit to the right of the decimal.

Answer:

-625

Step-by-step explanation:

1. the formula is:

[tex]a_n=a_1+d*(n-1);[/tex]

where n - the number of the required term, d - the step between two neighbor terms, a₁ - the first term of the given sequence.

2. according to the formula above:

[tex]a_{51}=25-13*(51-1)=25-650=-625.[/tex]

Answer:

c no is correct answer ☺️

Michael drove 1125 miles and paid $295 for renting the truck for 3 days

Rental company charges per day = $70

Rental company charges per mile = $0.20

Number of days truck is rented by Michael = 3 days

The total amount paid by Michael for the truck = $295

Let x be the number of miles Michael drives the truck

Formulating the equation using the information given in the question:

295 = 70 + 0.20(x)

295-70 = 0.20(x)

225 = 0.20(x)

x = 1125 miles

Therefore, the total miles driven by Michael is 1125 miles.

Michael paid $295 for driving the truck for 1125 miles and renting it for 3 days.

Learn more about linear equations:

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Answer:

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

Step-by-step explanation:

Given that :

Number of red balls = 4

Number of Blue balls = 3

Total number of balls = (4 + 3) = 7

Picking without replacement :

Number of picks = 2

1st pick is red :

Probability = (required outcome / Total possible outcomes)

USing combination formula :

nCr = n! / (n-r)! r!

Total possible outcome :

7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21

X = number of red

For red = 0;

P(x =0) = required outcome / Total possible outcomes

P(x = 0)

Required outcome : [4C0 * 3C2)]

P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7

P(x = 1)

Required outcome : [4C1 * 3C1)]

P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7

P(x = 2)

Required outcome : [4C2 * 3C0)]

P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7

Hence ;

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

Answer: top row, 0, 60, 120, 180, 240

Step-by-step explanation:

Answer:

a. (92.4, 94.8)

Step-by-step explanation:

Given that:

Mean (m) = 93.6

Standard deviation (σ) = 4.2

Sample size (n) = 34

α = 90%

Confidence interval around sample mean :

Mean ± Zstatistic * s/√n

Z0.90 = 1.645 (Z probability calculator)

s / √n = 4.2 / √34 = 0.7202940

Lower limit = 93.6 - (1.645 * 0.7202940) = 92.41511637 = 92.4

Upper limit = 93.6 + (1.645 * 0.7202940) = 94.78488363 = 94.8

1 x 24, 2 x 12, 3 x 8, and 4 x 6

17-1-24

17-2-12

17-3-8

17-4-6

Answer:

11x-1

Step-by-step explanation:

Area =length x width

so multiply (2x+3) and (3x+1) to get 11x-1

Answer:

Step-by-step explanation:

perimeter = add up all sides

                = 8 + 15 + 17

                = 40 units

see image below

The beautiful cupcake tree can grow 12 cupcakes in 36 hours.

An equation is an expression that shows the relationship between two or more variables and numbers.

The cupcake tree could grow 4 love cupcakes every 12 hours for 36 hours.

Hence:

Total number of cupcakes in 36 hours = (4 cupcake per 12 hour) * 36 hour =  12 cupcakes.

The beautiful cupcake tree can grow 12 cupcakes in 36 hours.

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Answer: The tourist was in the taxi for 23 miles.

Step-by-step explanation:

Step-by-step explanation:

speed =4 miles/hour

distance travelled =31 miles

we have

speed =distance/time

time =31/4hour

for taxi

time =2hours

speed =50mph

distance covered by taxi =?

we have

speed =distance /time

50=distance/2

distance =50×2=100miles

Answer:I believe it is 2.4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Simplified the answer would be: 1/4   - Once you divide 2 and 8 by GCF of 2

If you were finding larger numbers some choices could be: 4/16, 10/40, 8/32...etc.

Answer:

Company B would be a better choice.

Company B is cheaper.

Step-by-step explanation:

Let x be the rate per square foot

✔️Company A charges: $215 + $0.50x

If they are installing 400 ft² of carpet, they would be charged the following by company A,

Substitute x = 400 into the equation.

We have:

$215 + $0.50(400) = $415

They would pay $415 if they use Company A's services

✔️Company B charges: $100 + $0.75x

If they are installing 400 ft² of carpet, they would be charged the following by company B,

Substitute x = 400 into the equation.

We have:

$100 + $0.75(400) = $400

They would pay $400 if they use Company B's services .

✅Company B would be a better choice because the total charges they would pay to install 400 ft² carpet is cheaper than they would pay for Company A.

Answer:

First side is 8 feet

second side is 16 feet

third side is 48 feet

Step-by-step explanation:

x + 2x + 6x = 72

9x = 72

x = 72/9

x = 8

Answer:

D. Linear, because the function increases by a common difference

Step-by-step explanation:

Since it is increasing always at the same rate it is linear.

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[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{20}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{20}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{(-6)}}} \implies \cfrac{15}{-3 +6}\implies \cfrac{15}{3}\implies \text{\LARGE 5}[/tex]

Answer:

x= -y-4/3

Step-by-step explanation:

I hope this helps, work is in the picture ;)

Answer:

5x−y=1

Step-by-step explanation:

An equation is a statement that shows the equality between two expressions.

An equation is said to have no solutions if after solving the equation and the result is a statement like a = b, where a and b are different numbers.

The equation after it is simplified would have the same coefficients and different constant.

Given:

5x−y=7

An equation that will result in a system of equations with no solution will have the same coefficient but different constant.  

Hence 5x−y=1, would give a system of equations with no solution.

Simplifying gives:

7 = 1 (no solution)

Answer:

4

Step-by-step explanation:

key = leave, change, opposite

leave the first value

change the minus sign to a plus sign

change the second value to its opposite, which is 2

2+2=4

therefore it is 4.

Answer:

5 + 1(22-10)

Step-by-step explanation:

3 × 22 = 66

5 + 1(22-10) =5(12) = 60

6 × 7 + 8 × 3 = 42 + 24 = 66

1084 - 1018 = 66

(6 + 5)6 = (11)6 = 66

Answer:

5 + 1(22-10)

Step-by-step explanation:

First we need to solve for 11(7-1). Since the 7 - 1 is in the parenthesis it is what you do first. We know 7 - 1 equals 6. Since we got 6 as our answer for 7 - 1 we would take the 6 and multiply it with the 11 in the equation 11(7-1). If we would multiply 6 x 11 we would have an answer of 66.

Now we need solve each equation to see which one doesn't equal 66.

3 x 22 = 66 therefore it wouldn't be our answer.

5 + 1(22-10), we should always remember that we solve the equation with the parenthesis first. So if we would solve 22 - 10 we would get 12. Next we need to solve 5 + 1 and we should know this equals to 6. Now since we have our answer to both equation we would need to add 12 + 5 If we added those two number we'd get 17. There this would be our ANSWER.

6 x 7 + 8 x 3, we'll need to multiply 6 x 7 and then 8 x 3 after we get our answers to those equations we would need to add them and see if we would get 66 or not. So first I would multiply 6 x 7 and when I multiplied it I got 42. Next we would multiply 8 x 3 and that would equal 24. Now we need to ad 42 + 24. When we add 42 + 24 we get the answer of 66. Therefore this wouldn't be our answer.

1084 - 1018, this one would be easy to solve so we would nee to solve 1,084 - 1,018. If you don't know how to solve that it's okay! We can do it together. So if you write it in a paper or on something you could write it like I'll use a board. You would need to have 1,084 written in the top because that's the biggest number and 1,018 in the bottom because that a smaller number then 1,084. So we would nee to solve the one's place first. We wouldn't be able to solve 4 - 8 so we need to go over to the tens place and take from there now since we took from the 8 it'd become 7 and now the 4 is 14. So we'd do 14 - 8 for the ones place and we have our answer as 6. Now we need to solve the tens place 7 - 1  we know that equals 6 so we need to put 6 under our tens place. Next we go to the hundred place and do 0 - 0 and that's really easy haha it'd equal 0. So under the hundred place we can put 0 or leave it blank I left mines blank. Now finally we would do 1 - 1 and we know that equals 0 as well. So we can put 0 under our thousand place or leave it blank, I left it blank. Therefore this equals 66 so this wouldn't be our answer. Below in the picture I showed my work. :)

(6+5)6, first we do what's in the parenthesis. Which is 6 + 5 that'd equal 11. So since now we have 11 as our answer for 6 + 5 we'd need to do 11 x 6 and that would equal 66. Therefore our answer for this equation would be 66 so it wouldn't be our answer..

Answer:

Total cost of 7 pair = 7(t + b)

Step-by-step explanation:

Given:

Cost of each shirt = t

Cost of each bag = b

Number of pair = 7

Find:

Total cost

Computation:

Total cost of each pair = t + b

Total cost of 7 pair = 7(t + b)