If a baseball player has a batting average of 0.385 , what is the probability that the player will get the following number of hits in the next four times at bat?
A) Exactly 2 hits
(B) At least 2 hits
Answers
A) The probability of the player getting exactly 2 hits in the next four at-bats is approximately 0.219 or 21.9%.
B) The probability of the player getting at least 2 hits in the next four at-bats is approximately 0.758 or 75.8%.
To determine the probability of a baseball player getting a certain number of hits in the next four times at bat, we can use the binomial probability formula. The formula is as follows:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where P(X = k) is the probability of getting exactly k hits, n is the number of trials (in this case, at-bats), p is the probability of success (batting average), and C(n, k) is the number of combinations of choosing k hits out of n at-bats.
A) To calculate the probability of the player getting exactly 2 hits in the next four times at bat, we substitute the values into the formula:
P(X = 2) = C(4, 2) * (0.385)^2 * (1 - 0.385)^(4 - 2)
Calculating this expression gives us:
P(X = 2) = 6 * (0.385)^2 * (0.615)^2
P(X = 2) ≈ 0.219
Therefore, the probability of the player getting exactly 2 hits in the next four times at bat is approximately 0.219 or 21.9%.
B) To calculate the probability of the player getting at least 2 hits, we need to sum the probabilities of getting 2, 3, and 4 hits:
P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4)
Substituting the values into the formula and calculating the expression gives us:
P(X ≥ 2) = 0.219 + C(4, 3) * (0.385)^3 * (1 - 0.385)^(4 - 3) + C(4, 4) * (0.385)^4 * (1 - 0.385)^(4 - 4)
P(X ≥ 2) ≈ 0.758
Therefore, the probability of the player getting at least 2 hits in the next four times at bat is approximately 0.758 or 75.8%.
In summary, the probability of the player getting exactly 2 hits is approximately 0.219 or 21.9%. The probability of the player getting at least 2 hits is approximately 0.758 or 75.8%.
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Related Questions
Mosquitoes are annoying insects. To eliminate mosquito larvae, a certain granular substance can be applied to standing
water in a ratio of 1 tsp per 15 sq ft of standing water.
a. At this rate, find how many teaspoons of granules must be used for 270 sq ft.
b. If 3 tsp = 1 tbsp, how many tablespoons of granules must be used?
a.
teaspoons of granules must be used.
Answers
Answer: a. 18 teaspoons
b. 6 tablespoons
Step-by-step explanation:
a. 1 tsp: 15 sq ft
270 sq ft * 1 tsp/15 sq ft=
270 * 1/15=
270/15=18 teaspoons
b. 3 tsp = 1 tbsp
18 tsp * 1 tbsp/3 tsp=
18 * 1/3=
18/3=6 tablespoons
1
1
Consider the polynomial function:
p(x) = 3x3 + 10x2 + ax - 6
where a is an unknown real number.
If
(x + 3)
is a factor of this polynomial what is the value of a? Show all the steps below.
Answers
Step-by-step explanation:
By Factor Theorem, p(-3) = 0.
Therefore 3(-3)³ + 10(-3)² + (-3)a - 6 = 0 and a = 1.
the perimeter of regular hexagon equals the perimeter of an equilateral triangle. if the area of the triangle is 10, what is the area of the hexagon?
Answers
If the perimeter of the regular hexagon equals to the perimeter of an equilateral triangle then the area of the hexagon is 18.
A hexagon can be be known as a polygon that has six sides and angles. Regular hexagons have six equal sides and angles and are composed of six equilateral triangles. first we have to write down the formula for finding the area of a hexagon if you know the side length. Since a regular hexagon is comprised of six equilateral triangles, the formula for finding the area of a hexagon is derived from the formula of finding the area of an equilateral triangle.
Let a be the side of equilateral triangle ∴ \(\sqrt{3}\) /4 \(a^{2}\) = 12
Perimeter of triangle = 3a = Perimeter of Hexagon
3a=6h ,where h is the side of hexagon.
⇒ h = 1/2 a
The area of the hexagon =6× \(\sqrt{3}\)/4 \(h^{2}\)
=6× \(\sqrt{3}\)/4 . ( a/2 ) 2 = 6/4 ×12
= 18
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Evaluate plzzz help am giving brainliest
Answers
Answer:2
Step-by-step explanation:
Answer:
just replace a by -1
3(-1)^3 +5
3(-1)+5
-3+5
2
Step-by-step explanation:
A number cube with faces labeled 1 to 6 is rolled once.
The number rolled will be recorded as the outcome.
Consider the following events.
Event A: The number rolled is even.
Event B: The number rolled is less than 4.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
(a) Event "A or B": {
(b) Event "A and B": {}
(c) The complement of the event A:{}
X
5
Answers
The answers are given below:-
a) A ∪ B = {1,2,3,4,6}
b) A ∩ B = {2}
c) Ac= {1, 3, 5}
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that a number cube with faces labelled 1 to 6 is rolled once. The number rolled will be recorded as the outcome.
A number cube with faces labelled 1 to 6.
Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.
Event A
The number rolled is even.
Therefore, the set of outcomes for event A is {2, 4, 6}.
Event B
The number rolled is less than 4.
Therefore, the set of outcomes for event B is {1, 2, 3}.
Part (a)
Event "A or B" means the outcomes in A or B or both.
⇒ A ∪ B = {1,2,3,4,6}
Part (b)
Event "A and B" means the outcomes in both A and B.
⇒ A ∩ B = {2}
Part (c)
The complement of event B means everything that is not in B.
Ac = {1, 3, 5}
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The price of a stock decreased by $20\%$ in 2001, and then decreased by $20\%$ in 2002. What percent increase in 2003 will restore the price to its value at the beginning of 2001? Express your answer to the nearest hundredth. Please explain!
Answers
oh come on
(read the comments(all of them))
can somebody help me please ?
Answers
Answer:
ik that angle one would be the same as 3 and 2 and 4 are also the same so if u find an answer for 2 or 4 they would be the same but is there like a total of the entire thing
Answer:
Angle 1 = 72 degrees
Angle 2 = 110 degrees
Angle 4 = 110 degrees
Step-by-step explanation:
Use angle rules.
Angle 2 + angle 3 = 180, because they supplementary angles. Therefore, to find angle 2, you can do 180 - 72 = 110 degrees.
Angle 1 and angle 3 are vertical angles, meaning they are equal. Thus, angle 1 = 72 degrees.
Angle 2 and 4 are vertical angles, meaning they are equal. Thus, angle 4 = 110 degrees.
The event of you going to work is a and the event of you taking leave is b. if these events are mutually exclusive events, using p(a)=0.55, and p(b)=0.10, what is p(a|b)?
Answers
The events are mutually exclusive events, so P(A|B) is 0.
In this question,
If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then
⇒ A ∩ B = 0
Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)
⇒ \(\frac{0}{0.10}\)
⇒ 0.
Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.
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6x-3+1 when x=-3 and y= 2
Answers
6(-3)-3+1
-18-3+1
-21+1
Answer= -20
How many milliliters of water (d = 0.998 g/ml) are required to dissolve 25.0 g of urea and thereby produce a 1.65 m solution of urea (co(nh2)2
Answers
The term "total moles of a solute contained in a kilogram of a solvent" exists utilized to define molality. The amount of water required exists 252ml.
How to estimate the amount of water required?
Given: Mass of urea = 25 g
Required Molality = 1.65m
Density of water = 1000 kg/m³
Formula for urea = CH₄N₂O
Mass of Carbon atom = 12 u
Mass of Oxygen atom = 16 u
Mass of Nitrogen atom = 14 u
Mass of Hydrogen atom = 1 u
Molecular Mass of Urea
= (1)12 + (4)1 + (2)14 + 16
= 12 + 4 + 28 + 16
= 60 u
Molar mass = 60 g
No of moles = Given mass/Molar mass
No of moles = 25/60 = 5/12
Molality = Mass of solute / Mass of solvent(g)
Let the weight of water be x kg
1.65 = (5/12)/x
simplifying the above equation, we get
1.65 x = (5/12)
x = (5/12) / 1.65
x = 5 / 1.98
x = 0.2525
Mass of water = 0.252 kg.
Volume of water = 0.252 ÷ 1000 kg/m³
= 0.000252 m³
= 0.252 liters
= 252 ml
Therefore, the require amount of water is 252 ml.
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a company had 80 employees whose salaries are summarized in the frequency distribution below. find the standard deviation.
Answers
The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.
The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).
By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.
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100 POINTS! PLEASE HELP
Drag and drop the answers into the boxes to correctly complete the statement.
A sequence of transformations that maps △DEF to △D′E′F′ is a _____________ followed by a _____________.
Answer and graph in the pictures.
Answers
A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 180° about the origin followed by a translation by 1 unit to the left
What is the sequence of transformations?We have given the graph of triangle DEF with coordinates as;
D( -2 ,-1 )
E(-2 ,-4)
F( -1 , -1 )
Now, the coordinates of the transformed triangle D'E'F' are;
D' (1 ,1)
E' ( 1 ,4)
F' (0 ,1)
Now, the transformation rule for a rotation by 180° about the origin is (x, y) → (−x, −y) .
This means that the first transformation is a rotation of 180° about the origin to get;
D"( 2 ,1 )
E"(2 ,4)
F"( 1 , 1 )
Transformation rule ( x ,y) → (x- 1 , y) will now translate by 1 unit to the left.
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Dan deposited $700 in a savings account. At the end of 3 year, he had earned $115.50 in simple interest. What interest rate did he receive?
Answers
Answer:
17
Step-by-step explanation:
but not for sure
c. How do you find the power of a power?
Answers
Answer:
To find a power of a power, multiply the exponents. This is an extension of the product of powers property . Suppose you have a number raised to a power, and you multiply the whole expression by itself over and over. This is the same as raising the expression to a power.
Answer:
Step-by-step explanation: When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. For example, in the following expression, x to the power of 3 is being raised to the power of 6, and so you would multiply 3 and 6 to find the new power.
i hope this help
Find the equation of the line whose slope is −8/7 and passes through the point (14,−2).
Answers
The equation of the line whose slope is −8/7 and passes through the point (14,−2) is given by y = (-8/7)x + 16/7.
Given that the slope of a line is -8/7 and it passes through the point (14, -2).We know that the slope-intercept form of the equation of a line is y = mx + where m is the slope of the line and b is the y-intercept of the line.So the equation of the line with slope m passing through point (x1,y1) can be given as: y - y1 = m(x - x1)Substituting the values, we get: y - (-2) = (-8/7)(x - 14) => y + 2 = (-8/7)x + (8*2) / 7 => y = (-8/7)x + 16/7Therefore, the equation of the line whose slope is −8/7 and passes through the point (14,−2) is given by y = (-8/7)x + 16/7.
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The perimeter of a school hall was 128 m. the length of the school hall was 38 m longer than the breadth. what was the area of the school hall?
Answers
By using the formula for area and perimeter of rectangle, it is obtained that
Area of rectangle is 663 \(m^2\)
What is area and perimeter of Rectangle?
Area of rectangle is the total space taken by the rectangle.
If the length of the rectangle be l and breadth of rectangle be b
Area of rectangle = \(l \times b\)
Perimeter of rectangle is the length of the boundary of the rectangle.
If the length of the rectangle is l and breadth of the rectangle be b then perimeter of rectangle is
Perimeter of rectangle = \(2(l + b)\)
Here,
Let the breadth of rectangle be b m
Length of rectangle = (b + 38)m
Perimeter of rectangle = 2(b+ 38 + b)
= 2(2b + 38)
By the problem,
2(2b + 38) = 128
2b + 38 = \(\frac{128}{2}\)
2b + 38 = 64
2b = 64 - 38
2b = 26
b = \(\frac{26}{2}\\\)
b = 13 m
Length of rectangle = 38 + 13 = 51 m
Area of rectangle = \(51 \times 13\)
= 663 \(m^2\)
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What is one of the zeros of the polynomial expression whose factored form is (3x – 3)(x - 6)?
Answers
Answer:
(3x_3)(x_6)
3x^2_18x_3x+18
3x^2-21x+18
a) 7x^2-7=0
b)x^2-x=0
c)5x-15=0
d)x^2-4x+4=9.(x-2)
e)3(x+3)-x^2-3x=0
Answers
Answer:
\(a)x = 1 \\ x = - 1 \\ b)x = 1 \\ x = 0 \\ c)x = 3 \\ d)x = 11 \\ x = 2 \\ e)x = 3 \\ x = - 3\)
The library is 0.96 mile away from Theo’s home. Write this distance as a fraction in simplest form
Answers
Answer:
the answer is 24/25
hope it helps have a nice day! :)
a) what additional info is needed to prove the triangles are congruent by ASA postulate, explain.
b) what additional info is needed to prove the triangles are congruent by the HL theorem, explain.
Answers
Answer:
See below
Step-by-step explanation:
A) If \(DF\cong GH\), then both triangles will be congruent by the ASA postulate
B) If \(DE\cong GI\), in addition to one of the corresponding leg pairs being congruent to each other (so EF+IH or DF+GH), then the triangles will be congruent by the HL theorem
A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing
Answers
Answer:
500cm or 5 meters
Step-by-step explanation:
The ratio of drawing and field is 1:90.
So we have to make 450 m into cm.
450 -> is 45,000
Now we can make 2 fractions,
\(\frac{1}{90}=\frac{x}{45000}\)
Cross multiply
90*x = 90x
1*45000 = 45000
90x = 45000
Divide 90 to both sides
x = 500cm
Thus,
the drawing's field is 500cm or 5m long.
Hope this helps :)
If Ted reads 8 books in 4 months, how many books does Ted read in 1 month?
Answers
ravelocity would like to test if the average roundtrip airfare between new york and london differs from $1,400. the correct hypothesis statement for this test would be
Answers
The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.
H0: u = 1: u ≠ 1,400
When testing hypotheses with the P value, the null hypothesis is rejected if?
The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.
A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.
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A soccer field is a rectangle 100 meters wide and 130
meters long. The coach asks players to run from one
corner to the other corner diagonally across. What is
the distance diagonally? Round to the nearest
TENTHS place.
a.83.1 meters
b.164.0 meters
c.26900 meters
with steps please (: <3
Answers
Answer: b.164.0 meters
Step-by-step explanation:
Which of the following statements is FALSE?
A) All parallelograms are quadrilaterals.
B) All squares are rhombuses.
C) All rectangles are parallelograms.
D) All kites are rectangles.
Answers
Answer:
The false statement is D) All kites are rectangles.
A kite is a quadrilateral with two pairs of adjacent sides that are congruent. A rectangle is a quadrilateral with four right angles and opposite sides that are parallel and congruent. While some kites can be rectangles (when the two pairs of congruent adjacent sides are also perpendicular), not all kites are rectangles. Therefore, statement D is false. Statements A, B, and C are true.
Step-by-step explanation:
i know its just 12 points but here
Answers
Answer: ;)
Step-by-step explanation:
<333
28. for the following case, would the mean or the median probably be higher, or would they be about equal? explain.
Answers
To determine whether the mean or the median would be higher, or if they would be about equal, we need more specific information about the case or dataset in question.
The mean and median are statistical measures used to describe different aspects of a dataset.
Mean: The mean is the average value of a dataset and is calculated by summing all the values and dividing by the total number of values. The mean is sensitive to extreme values or outliers since it takes into account every value in the dataset.
Median: The median is the middle value in a sorted dataset. If the dataset has an odd number of values, the median is the middle value itself. If the dataset has an even number of values, the median is the average of the two middle values. The median is less affected by extreme values or outliers since it only depends on the order of values.
Without specific information about the dataset, it is difficult to determine whether the mean or the median would be higher or if they would be about equal. Different datasets can exhibit different characteristics, such as skewed distributions or symmetric distributions, which can influence the relationship between the mean and the median.
In general terms, if the dataset is symmetrical and does not contain extreme values, the mean and the median are likely to be about equal. However, if the dataset is skewed or contains extreme values, the mean may be influenced more by these outliers, potentially making it higher or lower than the median.
To provide a more accurate assessment, please provide additional details about the case or dataset under consideration.
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34,678 rounded to the nearest hundred.
Answers
Answer:
34,700.
Step-by-step explanation:
The tens digit is 7 so we round up the 6 ( which is the hundreds digit) and the tens and units go to zeros.
Answer:
34,700
Step-by-step explanation:
34,678
3 is in the ten thousands place
4 is in the thousands place
6 is in the hundreds place
7 is in the tens place
8 is in the ones place
When rounding, you look at the next number to the right. If anything that ranges from 5–9 is rounded up, and anything that ranges from 1–4 is rounded down.
So, 6 is next to 7, which is in the 5–9 range, which means it is rounded up.
400, 500, 600, 700
As you can see, the nearest hundred is 700
Our answer would be 34,700
Hope this helps!
You have just finished paying off your $35,125 loan, a feat which took ten years of quarterly payments. The loan had an interest rate of 7. 44%, compounded quarterly. If you also paid $5,180. 70 in service charges, what percentage of the total cost was made up by your finance charges? Round all dollar values to the nearest cent. A. 25. 69% b. 36. 47% c. 57. 41% d. 27. 10%.
Answers
The percentage of the total cost for the finance charges is 36.47%
Computation:
Given,
\(P\) Principal amount= $35,125
\(r\) Interest rate =7.44%
\(t\) Compounding period = quarterly 4
\(n\) Time period =10 years
The formula of the annuity will be used to determine the total cost:
\(\begin{aligned}A&=P\times\dfrac{(1+\frac{r}{n})^{n-1}}{r\times(1+\frac{r}{n})^n}\\&=\$35,125\times\dfrac{(1+\frac{0.0744}{10})^{10-1}}{0.0744\times(1+\frac{0.0744}{10})^{10}}\\&=\$1,252.70\end{aligned}\)
\(\begin{aligned}\text{Total cost}&=A\times(n\times t)\\&=\$1,252.70\times(10\times 4)\\&=\$50,108\end{aligned}\)
Now, the percentage of finance charges will be determined as follows:
\(\begin{aligned}\text{\% of Finance Charges}&=\dfrac{\text{Total Cost+ Service Charges-Principal Amount}}{\text{Total Cost+ Service Charges}}\times100\\&=\dfrac{\$50,108+\$5,180.0-\$35,125}{\$50,108+\$5,180.70}\times100\\&=36.47\%\end{aligned}\)
Therefore, the percentage of finance charges is correct in option b. 36.47%.
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result of 2/4+2/3+2+6
Answers
Answer:
\(1\frac{1}{2}\)
Step-by-step explanation:
\(\frac{2}{4}+\frac{2}{3} +\frac{2}{6}\)
\(\frac{6}{12}+\frac{8}{12} +\frac{4}{12}\)
\(\frac{6 + 8 + 4}{12}\)
\(\frac{18}{12}\)
\(1\frac{1}{2}\)
Answer:
\(\begin{gathered} \sf \frac{2}{4} + \frac{2}{3} + \frac{2}{6} = \\ \\ \sf\frac{12 \div 4 \times 2 + 12 \div 3 \times 2 + 12 \div 6 \times 2}{12} = \sf \\ \\ \sf\frac{6 + 8 + 4}{12} = \\ \\ \sf\frac{18}{12} = \frac{ 6}{4} = \\ \ \\ \sf\frac{3}{2} = \boxed { \sf1 \frac{1}{2}} \end{gathered}\)
How to add heterogeneous fractions:
Heterogeneous fractions are fractions that have different denominators.
To add heterogeneous fractions, follow these steps:
Find the common denominator This is the l.c.m of the denominators.Divide the common denominator by the original denominator and multiply by the numerator.Write the results obtained in the previous step as numerators with the sign of the sum between them. The denominator is the common denominator.Add the numerators and keep the same denominator. Simplify the result if possible.