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Answer: c

Step-by-step explanation: good luck everyone

Ashley's z-score for the given table is -1.2.

''A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.''

From the given table, we can calculate the mean, median, mode and standard deviation.

Therefore, mean = (75 + 60 + 75 + 100 + 75 + 75 + 75 + 95 + 60 + 65) ÷ 10

= 75.5

Median = middle term when scores are arranged in ascending order

= middle term of {60, 60, 65, 75, 75, 75, 75, 75, 95, 100}

= 75

Mode = number that occurs highest in {60, 60, 65, 75, 75, 75, 75, 75, 95, 100} = 75.

Standard deviation = [tex][\sqrt{(x_1-x)^{2}+(x_2-x)^{2}+........+(x_n-x)^{2}]/n[/tex]

=  [tex][\sqrt{(75-75.5)^{2}+(60-75.5)^{2}+........+(65-75.5)^{2}]/10[/tex]

= [tex]\sqrt{157.25}[/tex]

=12.54

Therefore, Ashley's Z-score = (Ashley's score - Mean)/ Standard Deviation

= (60 - 75.5)/12.54 = -1.2

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Answer:

53

Step-by-step explanation:

90 - 37 = 53

Answer: 56 miles/hour

Step-by-step explanation: 498-106=392

9-2=7

392/7= 56 , units- miles/hour

The average rate of change of the distance over the interval 2 < t < 9 is 56 units- miles/hour.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The distance, d, that a car has traveled, as a function of time, t, is given in the table below.

Difference  = 498 - 106

= 392

= 9 - 2

= 7

From the formula:

Rate of change = change in distance/change in time

= 392/7

= 56 units- miles/hour

Thus, the average rate of change of the distance over the interval 2 < t < 9 is 56 units- miles/hour.

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By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴

Answer:

19 are blue

37

Step-by-step explanation:

35 - 16 = 19

35 + 3 = 38 & 75 - 38 = 37

Answer:

A)4 packs of footballs

B)$83.88

Step-by-step explanation:

If every boy needs a football then he is unable to buy just 3 cause then he would only have 12 footballs

3*4=12

So he would need 4 packs of footballs

B) because he needs 4 packs he multiplies 4 by 20.97 a pack.

4*20.97=83.88

Answer:

$5.50

Step-by-step explanation:

1.) The first step is finding what 45% of $10 is. We can do this by turning 45% into a decimal number (45%=0.45). We then multiply 0.45 by the $10.

2.) 0.45×$10=$4.50 ; We just found that 45% of $10 is $4.50

3.) Because the shirt is 45% less than the original price (45% off), we need to subtract the 45% (which is equal to $4.50) from the original price, $10

4.) $10-$4.50=$5.50, the new price

Answer:

x = 90

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then

x = ∠ A + ∠ B = 30 + 60 = 90

Answer:

I do questions like these a little different than most people so...

384/12= 32 (32 is 1% of his sales)

32*100= 3200

His total sales were $3200.

Answer:

39

Step-by-step explanation:

Answer:

y = $346.90

Step-by-step explanation:

Given:

y = 1.67x + 12.90

Where,

y = total monthly cost,

x = month. If we let x represent the number of cubic feet of water (in hundreds)

If the Johnson family used 200 ft3 more water this month than last month, then they can expect

x = 200 ft³

y = 1.67x + 12.90

y = 1.67(200) + 12.90

= 334 + 12.90

= 346.90

y = $346.90

Answer:

8 and one thirds

Step-by-step explanation:

5 times 5 is equal to 25 and 25 divided by 3 is 8.3333

Answer:

$8.33

Step-by-step explanation:

So, to figure out how much one mango costs, I did $5 divided by 3, which gave me 1.66.

I then multiplied that by 5 to see how much 5 mangos cost, and I got $8.33

Answer:

7 apples

Step-by-step explanation:

40 - 26 = 14

14 / 2 = 7

Answer:

D

Step-by-step explanation:

She only cut the 15% extra and no the other 75%

Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. The correct option is B.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that The directions on a sewing pattern say to cut an extra 15% of fabric to account for errors. Chloe needs 0.75 yards of fabric to make a skirt, and she cuts 0.1125 yards.

Calculate the percentage of the fabric from the given data,

Percentage = 0.1125 / 0.75

Percentage = 0.15 x 100

Percentage = 15%

Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.

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Answer:

D. A graph shows both axes unnumbered. Points are scattered all over the graph.

Step-by-step explanation:

The r-value is also known as the correlation coefficient. This number shows how correlated points on a graph are. It ranges from -1 to 1, with numbers being closest to 0 being the least correlated. So a graph in which the points are scattered all over would have an r-value closest to 0 because the points are not correlated. If a graph shows either an upwards or downwards trend that means there is some correlation, therefore having an r-value of around -1 or 1.

Answer:

d

Step-by-step explanation:

edge

Answer:

The value of y = 5⁰...........

Answer:

y=5

Step-by-step explanation:

Answer:

P(all female)= 1/2 x 1/2 x 1/2 = 1/8

P(all male ) = 1/2 x 1/2 x 1/2 = 1/8

P(all one gender) = P(all female) + P(all male) = 1/8 + 1/8 = 1/4

What is the probability that a three-child family is two girls and one boy?

Each possible birth order has P=1/8. That is, P(G,G,B)=P(G,B,G)=P(B,G,G)=1/8.

So, P(2G,1B)= 3/8 and P(1G,2B)= 3/8.

This allows us to write the overall gender probability distribution for families of three children as follows:

1/8 will be three girls

3/8 will be two girls and one boy

3/8 will be one girl and two boys

1/8 will be three boys

Adding it all up, we have 1/8 + 3/8 + 3/8 + 1/8 = 1 (100%)

Step-by-step explanation:

Answer: D

Step-by-step explanation: i did the math

Answer:

56$

Step-by-step explanation:

8*2=16

10*4=40

16+40=56

Answer:

B) The system graphs as one line.

Step-by-step explanation:

The solutions of systems are basically the points where the two lines of the linear equations meet, or intersect.

So, picture it like this: if a system of linear equations has INFINITE (never-ending) solutions, then it must mean that the two lines intersect at EVERY single one of their points. And if they intersect at every one of their points, then that must mean that they are the same line, even if the equations are written differently.

Hope this helps!

Answer:

2/5 ; 2/5 ; 1/5

Step-by-step explanation:

Given that :

Numbe red gumballs = 2

Number of green gumballs = 2

Number of Blue gumballs = 1

The probability of making a random choice :

Probability = required outcome / Total possible outcomes

Probability of choosing (red) :

P(red) = number of red balls / total number of balls

P(red) = 2 / 5

P(green) = number of green balls / total number of balls

P(green) = 2 / 5

P(blue) = Number of blue balls / total number of balls

P(blue) = 1 / 5

Answer:

12

Step-by-step explanation:

You count all of the blue squares

Answer:

36.7

Step-by-step explanation:

Since 33 is 90% of a number, you can divide 33 by 9 to get 3 2/3. This 3 2/3 is 10% of the number, so multiply 3 2/3 by 10 to get 36 2/3. 36 2/3 rounded to the nearest tenth is 36.7, so there's your answer. Hope it helps!