The table below shows a baseball player’s batting average batting left and right versus left- and right-handed pitches Left-handed pitchers Right-handed pitchers Bats left 0.285 0.175 Bats right 0.215 0.250 Assume these numbers are the probabilities that he will get a hit during an “at bat.” On average, when he bats left 100 times, how many more hits will he get when he faces left-handed pitchers as opposed to right-handed pitchers? 1 2 11 22

Answers

Answer 1

Answer:

C. 11 is the correct answer

Step-by-step explanation:

The table representing the probabilities of player's batting average is,

                        Left-Handed pitchers         Right-Handed pitchers

Bats Left                    0.285                                      0.175

Bats Right                   0.215                                      0.250

So, when the players bats left 100 times,

The probability of hits he gets when faced by left-handed pitchers = 0.285 × 100 = 28.5

The probability of hits he gets when faced by right-handed pitchers = 0.175 × 100 = 17.5

Thus, the difference in the hits = 28.5 - 17.5 = 11

Hence, the player will get 11 more hits t when he faces left-handed pitchers as opposed to right-handed pitchers.


Related Questions

how many even 2-digit numbers have an odd number as the sum of their digits?

Answers

25 should be the answer

The distance from Boulder City, NV to Santa Fe, NM is around 600 miles. If a map has a scale of 0.3 in for every 30 mi, how far is the scale distance between Boulder City, NV and Santa Fe, NM?

Answers

600 miles is the total and a rate of 30 mi  per 0.3 in 

600 divided by 30 = 20 units 

each unit is 0.3 inches 

20*0.3 = 6

6 inches

Answer:

6 inches.

Step-by-step explanation:

The distance between two cities is around = 600 miles.

Map has a scale of 0.3 inches = 30 miles.

Therefore, on the scale 1 inches = [tex]\frac{30}{0.3}[/tex] miles

                                                      = 100 miles

Since on the map, 100 miles = 1 inches

The distance of 600 miles =  [tex]\frac{600}{100}[/tex]

                                            = 6 inches

The scale distance between cities is 6 inches.

a cell phone company sold 4,000 cell phones in the month of November. In December, the company held its annual sale and sold 22 percent more cell phones than it did in November. In January , the company experienced its slowest month , managing to sell only 50 percent of the number of cell phones sold during the month of December. What is the total number of cell phones sold by the company during the three months combined ?

Answers


[tex] \frac{x}{4000 } = \frac{78}{100} [/tex]
78×4000=312000
100×x=100x
312000÷100=3120
3120+4000=7120<----2nd month
7120×0.5=3560<----3rd month
4000<----1st month
4000+3560+7120=14680<----Your answer, this is the total of the three months.

Zakai cuts a piece of birthday cake as shown below.

What is the volume of the piece of cake?

Answers

can u put the diagram plzzz

Is 5,000cm greater than 5m

Answers

yes it is greater than 5m

Hello,

Here is your answer:

The proper answer to this question is "yes". One meter is 100cm which means its 500 cm.

Your answer is yes!

I you need anymore help feel free to ask me!

Hope this helps!

Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.) Please help fast!

Answers

she can plot 9 in 1 hour

Simplify the expression. 103 + 33 ÷ 3 A. 10,011 B. 21 C. 1011 D. 111

Answers

Anser:  114 onl reasonale answer: 111

Which word best describes the degree of overlap between the two data sets? none moderate low high Two line plots with the same scale and interval, from zero to sixty, with tick marks every five units. The plots are stacked vertically for comparison. Each plot has fifteen data values. Values appear as x marks above the line. Upper plot data values are one x mark above thirty, two x makrs above thirty-five, four x marks above forty, four x marks above forty-five, one x mark above fifty, two x marks above fifty-five, and one x mark above sixty. Lower plot data values are three x marks above five, four x marks above ten, three x marks above fifteen, two x marks above twenty, one x mark above twenty-five, one x mark above thirty, and one x mark above thirty-five.

HURRY PLEASE

Answers

Upper data set: 11, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17
min:  11q1     13q2      15q3      16max:  17iqr      3range: 6mean: 14.43
Lower data set: 11, 12, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17
min:  11q1     14q2      15q3      16max:  17iqr      2range: 6mean: 14.71
I think that the degree of overlap is HIGH. 



Answer:

High

Step-by-step explanation:

What is the 7th term in the geometric sequence described by this explicit formula?

A. 15,625

B. 156,250

C. 1,000,000

D. 31,250

Answers

the answer to this question is d

The 7th term in the geometric sequence described by this explicit formula will be 31,250 so option (D) will be correct.

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

Given explicit formula is

[tex]a_{n}[/tex] = 2 × [tex]5^{(n-1)}[/tex]

Where n represents a number of terms and [tex]a_{n}[/tex] is an nth term in the GP series.

By substituting n = 7 into the formula

[tex]a_{7}[/tex] = 2 × [tex]5^{(7 - 1)}[/tex]

[tex]a_{7}[/tex] = 2 × 5⁶

[tex]a_{7}[/tex] = 2 × 15625 = 31250 hence, it will the correct answer.

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How large in square meters is the land area of australia (2941526 mi 2)?

Answers

2941526 mi^2
 The first thing you should know to solve this problem is the following conversion:
 1mi = 1609.34m
 Applying the conversion we have:
 2941526 * (1609.34 / 1) ^ 2 = 7.61848E + 12 m ^ 2
 Answer: 
 The land area of Australia in square meters is:
 7.61848E + 12 m ^ 2

Final answer:

The land area of Australia is roughly 7.62 trillion square meters, calculated by multiplying the area in square miles (2,941,526) by the conversion factor of 2,590,000 square meters per square mile.

Explanation:

The student is asking for the conversion of Australia's land area from square miles to square meters. To convert square miles to square meters, we use the conversion factor that 1 square mile is equal to 2.59 square kilometers or 2,590,000 square meters. Therefore, the land area of Australia in square meters is calculated by multiplying the area in square miles by the conversion factor:

2,941,526 mi2 × 2,590,000 m2/mi2 = 7,619,652,340,000 m2

The land area of Australia is approximately 7.62 trillion square meters.

The area of the square represented in item 1 is revised to be 90.0 in.2. note that the original grid spacing no longer applies. what is the side length of the square

Answers

By definition, the area of a square is given by:
 A = L ^ 2
 Where,
 L: side of the square.
 Substituting
 90 = L ^ 2
 Clearing L we have:
 L = root (90)
 L = 9.486832981 in
 Answer:
 
The side length of the square is:
 
L = 9.486832981 in

Consider a normal population distribution with the value of σ known. (a) what is the confidence level for the interval x ± 2.88σ/ n ? (round your answer to one decimal place.) % (b) what is the confidence level for the interval x

Answers

By dividing the observations with σ and by subtracting the mean of the distribution, we can transform any normal distribution into the standard one with mean 0 and standard deviation of one. In this case, this means that we need to find the confidence interval of (-2,88, 2,88) for the standard normal distribution. We can look this up in a standard table; The probability that an observation is below -2,88 is 0,002 and the probability that it is below 2,88 is 0,998. Hence, we have that 0,996 of the observations is in this interval, thus 99,6% is the confidence level of the given interval.
Final answer:

The confidence level for the interval x ± 2.88σ/√n is approximately 99.9%. The term 'confidence level' speaks to how frequently the true value of the parameter would be inside the interval for replicated experiments. Without additional information, we cannot compute the confidence level for just 'x'.

Explanation:

In statistics, a formula exists to find the confidence interval. For the interval x ± 2.88σ / √n, the confidence level is nearly 99.9%. We find this by referring to the z-table (standard normal table) with a z-score of 2.88. This leaves 0.05% in each tail of the distribution.

On the topic of confidence levels, a 95% confidence interval implies that if you were to take 100 random samples from your population, approximately 95 of those samples would capture the true population parameter.

For the other part of your question, when we talk about the interval x, it doesn't provide enough detail to calculate a confidence level. It needs to be stated in context of the standard deviation and the sample size.

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What is the formula for finding compound interest

Answers

A=P(1+r/n)^nt is the formula for finding compound interest
[tex]A = P_{0}(1 + \frac{r}{n})^{n * t} [/tex]

where
A = is the final amount
[tex] P_{0} [/tex] is the initial principal
r is the rate as a decimal
n is the number of times compounded in a year
t is the time in years

Triangle ABC has vertices A(0,0), B(3,2), and C(0,4). This triangle may be classified as ?..?
1) equilateral
2) isosceles
3) right
4) scalene
Btw it wasn’t number 2 because that one was inaccurate.

Answers

it is definitely an isosceles triangle. when you plot it in a graph you will see that AB=BC=CA or AC.All the sides will be equal.

The triange may be classified as (2) isosceles triangle

How to classify the triangle?

The vertices are given as:

A(0,0), B(3,2), and C(0,4)

Calculate the side lengths using:

d = √(x2 - x1)^2 +(y2 - y1)^2

So, we have:

AB = √(3 - 0)^2 +(2 - 0)^2

AB = √13

AC = √(0 - 0)^2 +(4 - 0)^2

AC = 4

BC = √(3 - 0)^2 +(2 - 4)^2

BC = √13

Side lengths BC and AB are equal

i.e. AB = BC = √13

Hence, the triange may be classified as (2) isosceles triangle

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After a concert for 1600 people only 8 people said they would not go see the band again what percent of the people who went to the concert said they would not go see the band again

Answers

8/1600 as a percent is 0.5%. Hope it helps! :)

O.5 is the correct answer

Mya has a raised garden bed in the shape of a rectangular prism. The bed is 8 feet long, 3 2/3 feet wide, and 2 feet high. Part A: Belinda wants to make a raised garden bed that covers the same area as Mya’s, but the space she has is only 3 feet wide. How long should her garden bed be? Part B: Find the volume of Mya’s gardening bed. Suppose Belinda’s garden bed is the same height as Mya’s. Will Belinda’s bed have the same volume? Explain. Part C: A small bag of soil contains 2 cubic feet. How many bags of soil should Mya buy if she wants to fill her garden bed completely? Show your work. Part D: Belinda already has 22 bags of soil. Use your answer to Part C to find the depth to which she can fill her garden bed

Answers

Part A:  The area of Mya's garden would be found by multiplying the length,8, by the width, 3 2/3.  This gives an area of 88/3 or 29 1/3 square feet.  We can set up our equation A = lw to find the length of Belinda's garden.
[tex]\frac{88}{3}=x*3[/tex]
Divide both sides by 3:
88/3 ÷ 3 = 3x ÷ 3
88/3 * 1/3 = x (remember that when dividing fractions you flip the second one, 3/1, and multiply)
88/9 = x
Belinda's garden would need to be 88/9, or 9 7/9, feet long to have the same area as Mya's.
Part B)
The volume of Mya's garden is found by multiplying length by width by height.  Another way of looking at this is the area of the base multiplied by the height.
8(3 2/3)(2) = (8/1)(11/3)(2/1) = 176/3 = 58 2/3 cubic feet.  
The volume of Belinda's garden would still be the area of the base multiplied by the height; since the area of her garden is the same as the area of Mya's garden, as well as the heights being the same, then yes, hers would have the same volume:
(9 7/9)(3)(2) = (88/9)(3/1)(2/1) = 528/9 = 58 2/3
Part C)
We divide the volume of Mya's bed, 58 2/3 cubic feet, by 2 to find out how many bags:
(58 2/3) ÷ 2 = (176/3) ÷ (2/1) = (176/3) * (1/2) = 176/6 = 29 1/3 bag.  We can't purchase 1/3 of a bag so she will need to purchase 30 bags.
If Belinda has purchased 22 bags, that is 44 cubic feet of soil.  We divide this volume of soil by the area of her bed to find the height it will reach:
44 ÷ (88/3) = (44/1) ÷ (88/3) = (44/1) * (3/88) = 132/88 = 1 1/2 feet.

Malia is placing a barrier around the edge of a circular path with the diameter of 13 M the barrier are in length of 2.5 M.
what is the best approximation of how many pieces of a barrierd malia will need? used 3.14 for approximate for pi

Answers

The circumference of a circle of diameter 13 m is 13π m, about 40.82 m.

(40.82 m)/(2.5 m) = 16.328

16 may be the best approximation of the number of pieces Malia will need. 17 pieces will make a barrier that is longer (larger diameter) than is needed.

I need help with this part plz help it's the last part

Answers

She lives 2 blocks away from you. Walk 3 blocks to Adam then 5 to Jane. 5 - 3 is 2. So 2 blocks.

write the equation of a line that includes the point (1,5) and has a slope of 3 in slope intercept form

A. y= 3x + 5
B. y= 3x - 5
C. y= 3x + 2
D. y= 3x - 5

Answers

your answer is C. y= 3x+2

beth is making brownies. She makes 3 batches of brownies on saturday and 4 batches on sunday. she uses 1/4 cup of butter in each batch. how much butter does beth use? explain

Answers

STEP 1:
Tally up the total number of batches.
= 3 batches + 4 batches
= 7 batches

STEP 2:
Multiply the total number of batches by the amount of butter used in one batch (which is 1/4 cup).

= 7 batches * 1/4 cup per batch
= 7 * 1/4
= (7*1)/4
= 7/4
= 1 3/4 cup of butter

Beth used 1 3/4 cup of butter to make a total of 7 batches of cookies.

Hope this helps! :)

The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.50. If the total cost of the trip is $248.50, what is the price of each train ticket? Enter your answer in the box.

Answers

so 5(6.50) = 32.5
248.5 - 32.5 = 216
216/5 = 43.2
each ticket is $43.20

Hilda has $210 worth of $10 and $12 stock shares.
The number of $10 shares is five more than twice the
number of $12 shares. How many of each type of share
does she have?

Answers

Let n and v represent the numbers of $10 and $12 shares Hilda owns.
.. n = 2v +5 . . . . . the number of $10 shares is 5 more than twice the number of $12 shares
.. 10n +12v = 210 . . . Hilda has $210 worth of $10 and $12 shares

Using the expression of the first equation to substitute into the second, we have
.. 10(2v +5) +12v = 210
.. 32v +50 = 210 . . . . . . collect terms
.. 32v = 160 . . . . . . . . . . subtract 50
.. v = 5 . . . . . . . . . . . . . . divide by 32
.. n = 2*5 +5 = 15

Hilda has 15 $10 shares and 5 $12 shares.

Elliot buys a 5 pound package of ground beef for 12.50 varna buys a package of ground beef for 7.50 at the same unit price. What is the weight of the package

Answers

Varna's package weighs 3 pounds, priced at $7.50, matching Elliot's $12.50 package with 5 pounds at same unit price.

To find the weight of Varna's package of ground beef, we can set up a proportion based on the unit price.

Elliot's package:

Price: $12.50

Weight: 5 pounds

Varna's package:

Price: $7.50 (same unit price as Elliot's)

Weight: Let's call it x pounds

We can set up the proportion:

[tex]\[\frac{12.50}{5} = \frac{7.50}{x}\][/tex]

Now, we can cross multiply:

[tex]\[12.50x = 5 \times 7.50\]\[12.50x = 37.50\][/tex]

Now, let's solve for \( x \):

[tex]\[x = \frac{37.50}{12.50}\]\[x = 3\][/tex]

So, the weight of Varna's package of ground beef is 3 pounds.

Complete question:

Elliot buys a 5 pound package of ground beef for 12.50

1)varna buys a package of ground beef for 7.50 at the same unit price. 2)What is the weight of the package

write a congruence statement for the pair of triangles zyb

Answers

(triangle) ZYB to (triangle) OWR by sss

If the arrival of major road vehicles can be described by the poisson distribution, and the peak hour volume is 1000 veh/hr. the value of the critical gap is 4 seconds. the expected number of available gaps during the peak hour is equal to:

Answers

expected no. of vehicles per hour = 1000
expected no. of vehicles per 4 minute interval = 1000/(3600/4) = 10/9 = &lambda;

Using the poisson distribution, probability that no vehicles within the 4 second interval
P(0)= &lambda; ^0 e^(- &lambda; )/ 0!
= (10/9)^0 e^(-10/9) / 1
= e^(-10/9)
= 0.3292 (approx.)

In an hour, there are n=3600/4=900 such intervals, each with probability of p=0.3292 occurring.

Applying binomial distribution,
expected number of gaps
=np
=900*0.3292
= 296.3

Answer: the expected number of gaps is 296 (to the nearest unit).


Note: in fact, the actual expected number will be higher because gaps do not line up at 4 second intervals.  If a vehicle passes at the 1 second of the interval, a gap can commence at the next second.  Therefore the expected value could/should be slightly higher.

WILL GIVEBRAINLIEST AND 25 PTS PLEASE HURRY!!!Which lines are the directrices of the ellipse?
x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25

Answers

Answer:

The directrix of the ellipse is:

x= -3.25 and x=9.25

Step-by-step explanation:

As we know that for any ellipse equation of the type:

[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex] and a>b

The directrix is given by:

[tex]x=h\pm \dfrac{a}{e}[/tex]

where,

[tex]e=\sqrt{1-\dfrac{b^2}{a^2}}[/tex]

Here we have the equation of parabola as:

[tex]\dfrac{(x-3)^2}{5^2}+\dfrac{(y-2)^2}{3^2}}=1[/tex]

Hence, we have:

[tex]h=3,\ k=2,\ a=5,\ b=3\\\\and\\\\e=\sqrt{1-\dfrac{3^2}{5^2}}\\\\e=\sqrt{1-\dfrac{9}{25}}\\\\e=\sqrt{\dfrac{25-9}{25}}\\\\\\e=\sqrt{\dfrac{16}{25}}\\\\e=\dfrac{4}{5}[/tex]

Hence, we have: the directrix as:

[tex]x=3\pm \dfrac{5}{\dfrac{4}{5}}\\\\\\x=3\pm \dfrac{25}{4}\\\\Hence, x=9.25\ and\ x=-3.25[/tex]

Hence, the equation of directrix is:

x= -3.25 and x=9.25

Answer:

B

Step-by-step explanation:

On edge

The Harlowe school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student.

School Low High Range Mean Median IQR σ
High School A 98 180 82 158 148 55.5 35.2
High School B 105 180 75 145 124 48.5 28.2
High School C 102 180 78 169 151 53.5 31.3

Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. (5 points)

Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

Answers

Part A: Students from high school B is the most consistent, because their standard deviation (σ=28.2) is the smaller than that of A and C. Smaller standard deviation means less variations among the values, or more consistence.

Part B: High school A has the highest average attendance, because it has higher mean (82) than B and C. Mean is mathematically the same as average, total number of days attended by all students divided by the number of students.

A cone is cut parallel to its base. Write the best name for the plane section (or cross section).

Answers

Final answer:

A cone cut with a plane parallel to its base forms a circular cross section, a concept that is part of the study of conic sections.

Explanation:

When a cone is cut with a plane parallel to its base, the cross section or plane section that is created is a circle. This concept falls under the study of conic sections, which also includes other shapes like ellipse, parabola, and hyperbola, all of which are formed by the intersection of a plane with a cone. If the cut is made closer to the apex, the circle will be smaller, and if it's made closer to the base, the circle will be larger, but all such cross sections remain circular as long as the cut is parallel to the base.

Caitlyn has a credit card with a spending limit of $1500 and an APR (annual percentage rate) of 18%. During the first month, Caitlyn charged $375 and paid $250 of that in her billing cycle. Which expression will find the amount of interest Caitlyn will be charged after the first month?

Answers

Final answer:

The interest that will be charged after the first month is $1.875, calculated by multiplying the remaining balance of $125 by the monthly interest rate of 1.5%.

Explanation:

The subject at hand is centered around the concept of credit card interest calculation. In Caitlyn's case, the remaining balance after her payment is $375 - $250 which equals $125. This is the amount that will incur interest.

The APR (annual percentage rate) is 18%, but we must first convert this to a monthly rate by dividing by 12, which equals 0.015 (or 1.5%). The interest charged after the first month is calculated by multiplying the remaining balance by the monthly interest rate. Therefore, the formula to calculate the interest is $125 * 0.015, which equals $1.875.

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Which number line shows the solution to
11x + 14 < –8?


Answers

Answer:

D!!

Step-by-step explanation:

Hope it helps!!

Final answer:

The solution to the inequality 11x + 14 < -8 is x < -2. On a number line, this would be a circle at -2 with a line extending to the left.

Explanation:

To find the solution to the inequality 11x + 14 < –8, we will first subtract 14 from both sides, which gives us:

11x < -8 - 14

This simplifies to 11x < -22.

Next, we divide both sides by 11 for: x < -2

The solution is x < -2. On a number line, this would be represented by a circle around -2 (not filled in, because the inequality does not include 'equal to') with a line extending to the left (indicating 'less than').

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