Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher’s hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean μ = 92.12 mph and a standard deviation of σ = 2.43 mph.

Compute the z-score of pitch with speed 95.8 mph. (Round your answer to two decimal places.)



Approximately what fraction of these four-seam fastballs would you expect to have speeds between 91 mph and 93.2 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.)



Approximately what fraction of these four-seam fastballs would you expect to have speeds below 91 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.)



A baseball fan wishes to identify the four-seam fastballs among the fastest 20% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 20%? (Round your answer to the nearest 0.1 mph.)

Answer: It would be 4b+44

Step-by-step explanation:

This is the distributive property! so a(b+c)=ab+ac

In this case–4b+44!

Answer:

A. 4b + 44

Step-by-step explanation:

To simplify the expression, we can distribute the 4 to each term in the parenthesis, which means to multiply 4 be each term.

4(b) + 4(11) = 4b + 44

Therefore, the correct option is A.

hope this helps!

Answer:

43

Step-by-step explanation:

80-37 = 43

Using the slope of each of the lines, the best statement that describes the their relationship is that they are: neither perpendicular nor parallel.

The slope of parallel lines are the same, while that of perpendicular lines are negative reciprocals.

Given the two lines with the following equations:

-9x+9y=1

7x+2y=4

Rewrite both in slope-intercept form as y = mx + b to determine the slope of each line:

-9x + 9y = 1

9y = 9x + 1

y = 9x/9 + 1/9

y = x + 1/9 (slope = 1)

7x + 2y = 4

2y = -7x + 4

y = -7x/2 + 4/2

y = -7/2x + 2 (slope = -7/2).

The slope of both lines are different, so they are not parallel. So also, their slopes are not negative reciprocals.

Therefore, they are neither perpendicular nor parallel.

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Answer:

The answer is simply 26,25/3 which gives that each book costed 8,75 dollars assuming of course that all books have the same price.

Answer:

Step-by-step explanation:

13 = 2*6 + 1         (m = 6)

27 = 2(13) + 1

121 = 2(60) + 1

Answer:

4√13 inches.

How To Solve

a2 + b2 = c2

82 + 122 = c2

64 + 144 = c2

208 = c2

√208 = √c2

√16√13 = c

4√13 inches = c

Answer:

350 adult tickets were sold.

Step-by-step explanation:

Let's set up some values:

x = adult tickets

x + 50 = student tickets, since there were 50 more student tickets than adult tickets.

Now, let's set up our equation. If these two values add up to 750 tickets, then we can conclude the following:

(x) + (x + 50) = 750

2x + 50 = 750

2x = 700

x = 350 adult tickets. This means there were 400 student tickets sold.

Answer:

x ≤ 3

Step-by-step explanation:

[tex]\dfrac{1}{2}-\dfrac{1}{4}x \geq -\dfrac{1}{4}[/tex]

Subtract 1/2 from both sides:

[tex]\implies \dfrac{1}{2}-\dfrac{1}{4}x-\dfrac{1}{2} \geq -\dfrac{1}{4}-\dfrac{1}{2}[/tex]

[tex]\implies -\dfrac{1}{4}x \geq -\dfrac{3}{4}[/tex]

Multiply both sides by 4:

[tex]\implies -\dfrac{1}{4}x \cdot 4 \geq -\dfrac{3}{4} \cdot 4[/tex]

[tex]\implies -x \geq -3[/tex]

Divide both sides by -1 (remembering to flip the sign):

[tex]\implies \dfrac{-x}{-1} \geq \dfrac{-3}{-1}[/tex]

[tex]\implies x \leq 3[/tex]

Answer:

5 2/10 or 520%

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:D. The atmosphere of Mars is twice as thick as scientists predicted it would be.

Step-by-step explanation:

The approximate change that Thomas will see on his future monthly statements as a result of the change is; $33.1975

We are told that Thomas' insurance company has increased his annual premium by $398.37.

Now, the premium above is the change in his annual premium. Thus, to find the change in his monthly premium, we just divide by 12 months to get;

Change in Monthly statements = $398.37/12

Change in Monthly statements = $33.1975

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Option B

Verification:-

Find g(2)

Verified

Answer:

34 %

Step-by-step explanation:

One standard deviation below  ( 2 months) to the mean

           covers approx 34.1 %

[tex]f(x)=a|x-h|+k[/tex] looks similar to that of vertex form where a is the stretch factor, h is the horizontal translation, and k is the vertical translation.

[tex]f(x)=7|x+4|-6[/tex] would mean that the minimum point is located at [tex]x=-4[/tex] and [tex]y=-6[/tex].

Moving f(x) 2 units to the right will only affect the h value and the only way to do this is by subtracting 2 from 4. Remember that the more negative the number, the more positive or to the right the x value for the minimum/maximum is, and vice versa.

The final equation will be  [tex]f(x)=7|x+2|-6[/tex] where:

a = 7

h = 2

k = 6

Answer:

7(x + 2) - 6

Step-by-step explanation:

a(x - h) + k

the h shift it right or left where a negative number is right and the positive is left

- we want it to move right 2 so -4 + 2 = -2 where negative number means a positive h so its +2

k shifts it up or down

Answer:

(E) < BDE = 2x + y.

Step-by-step explanation:

As  triangle ABC is isosceles the 2 base angles are equal.

Therefore m < BAC = x.

Consider triangle ABD:

m < BDE = m < BAC + m < ABD ( external angle of a triangle theorem)

So < BDE =  x + x + y = 2x + y.

Answer:

Step-by-step explanation:

The deck is divided into 4 different kinds of cards

Each kind of card has a 2

So there are 4 twos in a standard deck of cards.

Answer:

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

the table of the function is below

Step-by-step explanation:

Answer:

60m = t

Step-by-step explanation:

For " per minute ( 1 minute ) ", he can type 60 words.

For " m minutes ", he can type

m times 60

= m x 60

= 60m

Hence,

60m = t

Answer:

The answer would be B

Step-by-step explanation:

Since Miles can write 60 words PER minute. Per is a key work for multiplication. So it would be 60m = t instead of m/60 = t.

There would be a gap in the age of people in an elementary school.

There is a gap in a histogram when there is no data point represented in the data point.

There would be no gap in the ages of students in the sixth grade because their ages would have a range. There would be a gap in the age of people in an elementary school because there would be the ages of the students then the ages of teachers.

The ages of people eating in a family restaurant would have no gap because all ages would be represented. There is no age limit on those that can run a marathon, thus, the age of runners would have no gap.

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Answer: 706.5

Step-by-step explanation:

no promisees that  its right

In totality the majority of the price is goes to manufacturing companies.

The selling is the process of giving the manufactured product to the public at some cost. In the clothing or garments industry, the product will be a lot of raw fabric or ready-made clothes like shirts and T-shirts.

Here the manufacturing companies give their products in the lot to the wholesalers and the retailers the margin on each product for the retailers is high but the quantity is less.

Similarly, the margin for the manufacturing companies is less but the quantity is very high or they sell in the Tons or more so they earn more as compared to the others.

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The equation that shows the fraction of the solar panel that is not damaged is 8 - 2 / 8 = 3 / 4

The solar panel is divided into 8 equal pieces. Two pieces are damaged.

Therefore, the equation that shows the fraction of the solar panel that is not damaged is as follows:

The amount damaged = 2

The amount not damaged = 6

Total panel = 8

Therefore,

8 - 2 / 8 =  6 / 8 = 3 / 4

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The range is 18

The Range (Statistics) The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!

Therefore, The range is 18