The probability that the player will make all the 7 free throws is 0.074
Given,
the probability that player makes a free throw = 0.69
The number of free throws given to the player = 7
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
Using the multiplication rule, since the event of success of each free throw is independent, the probability that player makes all free throws is the seven times the probability that player makes a free throw in each chance.
The probability that the player will make all the 7 free throws = 7 * 0.69 = 0.074.
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Round 0.574 to the nearest tenth.
Answer:
0.674
Step-by-step explanation:
a can contains 4 cups of pineapple juice the can of juice costs 2.56 what is the unit price in dollars per fluid ounce
Answer
$0.08
Step - by step Explanation
Let three types of consulting services that audit firms are now prohibited from providing to clients that are public companies
The three types of consulting services that audit firms are now prohibited from providing to clients that are public companies are:
1. Bookkeeping services: Audit firms are prohibited from providing bookkeeping services to their audit clients. Bookkeeping involves the recording, organizing, and maintaining of financial transactions.
By prohibiting audit firms from providing bookkeeping services, it helps to ensure independence and objectivity in the audit process. This separation reduces the risk of potential conflicts of interest that could compromise the integrity of the audit.
2. Legal services: Audit firms are also prohibited from providing legal services to their audit clients. Legal services include activities such as drafting legal documents, providing legal advice, and representing clients in legal proceedings.
The prohibition on providing legal services aims to maintain independence and prevent any potential conflicts of interest that could arise if the audit firm were to also provide legal advice or services to the audited company.
3. Financial information systems design and implementation: Audit firms are further prohibited from designing and implementing financial information systems for their audit clients.
This involves the development and implementation of computerized systems that record and process financial data. The prohibition on providing financial information systems design and implementation services helps to avoid any potential bias or lack of objectivity in the audit process,
as the audit firm should remain independent and not be involved in the design and implementation of the systems they are auditing.
By prohibiting audit firms from providing these consulting services, it helps to ensure that the audit process is conducted objectively and independently, without any conflicts of interest.
This enhances the credibility and reliability of financial statements and promotes transparency and trust in the financial markets.
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Please help and show work only do the left side
Writing linear equations given two points can be a useful skill when graphing linear equations.
Write a linear equation that passes through the given two points?To write a linear equation given two points, you need to first find the slope of the line. You can do this by finding the change in the y-value and dividing it by the change in the x-value. From there, you can use the slope to solve for the y-intercept and write the equation.For example, if the two points are (3, 4) and (0,5), you would find the slope by calculating the change in the y-value (5-4 = 1) and dividing it by the change in the x-value (0-3 = -3).The slope would then be 1/-3, which can be simplified to -1/3. To solve for the y-intercept, you can plug in one of the points and solve for b. In this case, you would plug in (3, 4) and solve for b, giving you b = 5. Now that you have the slope and y-intercept, you can write the equation as y = -1/3x + 5.y = -1/2xy = 5/3x + 5/3y = 3/5x + 1y = -1/2x - 2y = 6/5x + 5y = -4/4x - 8y = -3/5x - 7/5y = -2x - 4y = 5/6x + 7y = -1/2x + 4To learn more about linear equation refer to:
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help me and hurry please
The intensity of a source at 15 inches is 10R. What will the intensity be at 45 inches? a. 1.11R b. 0.74R c. 90R d. 304R
The intensity will be 304R, the correct option is d. 304R
What is intensity?An attribute of being intense or the quantifiable amount of a property, such as force, brightness, or a magnetic field, are both considered to be intensities.
The intensity of a source follows the inverse square law, which states that the intensity is inversely proportional to the square of the distance from the source.
Let's denote the initial distance as d1 (15 inches) and the initial intensity as I1 (10R). Let d2 (45 inches) be the new distance, and we need to find the new intensity, denoted as I2.
According to the inverse square law:
I1 / I2 = (d2 / d1)²
Plugging in the values:
10R / I2 = (45 inches / 15 inches)²
Simplifying:
10R / I2 = 3²
10R / I2 = 9
Now, solve for I2:
I2 = 10R / 9
So, the intensity at 45 inches (I2) will be 10R divided by 9.
Therefore, the answer is:
d. 304R
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there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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plssss someone help!!!
Answer: 1. |423.3| = 423.3
2. | - 17.17| = 17.17
3. | r + s | = | 23 + -48 | = 71
Find the minimum value of the function f(x) =0. 9x2+3. 4x-2. 4
The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.
Let's consider the equation of a function.
f(x) = \(0.9x^{2} + 3.4x -2.4\)
Now, divide each and every element and assume that a, b, and c are coefficients of the function given.
a: 0.9
b: 3.4
c: -2.4
The sign of the coefficient of a determines the exposure of the parabola. Since a > 0, the parabola is open upwards and has a minimum value.
We can find the "x" of the vertex using the following expression.
x(v) = -b/2a = -3.4/(0.9)
x(v) = -3.77
We can find the "y" of the vertex by replacing this x in the equation
y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4
y(v) = -2.42
The minimum value of the function is -3.77
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The length of a rectangle is three times its width. The perimeter is 64 feet. What are the dimensions of the rectangle?
Answer:
8 and 24
Step-by-step explanation:
let width be X
then length will be 3x
2(3x+X)=64
3x+X=32
4x=32
X=8
then 3x=24
help me pls !!!!!!!!!!
Answer:
c and d
Step-by-step explanation:
What is the next fraction in this sequence? Simplify your answer.
1/5. 7/20. 1/2. 13/20
..
Answer:\(a^5=\frac{4}{5}\)
Step-by-step explanation:
The 5th term of the arithmetic sequence is 4/5
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic progression be represented as A
Now , the value of A is
A = 1/5 , 7/20 , 1/2 , 13/20 ....
Now , the first term of the arithmetic sequence is a₁ = 1/5
The second term a₂ = 7/20
The common difference d = second term - first term
So , the common difference d = 7/20 - 1/5
The value of d = 3/20
Now , the nth term of the AP is given by
Tn = a + (n - 1) d, where Tₙ = nth term
Substituting the values in the equation , we get
T₅ = ( 1/5 ) + ( 5 - 1 ) ( 3/20 )
On simplifying the equation , we get
T₅ = ( 1/5 ) + ( 4 x 3 ) / 20
T₅ = 1/5 + 12/20
T₅ = 16/20
T₅ = 4/5
Therefore , the value of T₅ is 4/5
Hence , the 5th term of the arithmetic sequence is 4/5
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2/3 - 1/2
pls help I really need help as soon as possible if you can pls reply quick and I might ask more questions so 0ls answer them to
Answer:
Below.
Step-by-step explanation:
Complete the multiplication and the equation becomes
4/6−3/6=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
4−3/6=1/6
This fraction cannot be reduced.
Therefore:
2/3−1/2=16
Solution by Formulas
Apply the fractions formula for subtraction, to
2/3−1/2
and solve
(2×2)−(1×3)3×2
=4−3/6
=1/6
Therefore:
2/3−1/2=1/6
A laptop computer is purchased for $1850 . After each year, the resale value decreases by 35% . What will the resale value be after 5 years? round your answer to the nearest dollar.
Answer:
1850 * 0.7^3 = 634.55
Step-by-step explanation:
A toymaker was making trucks to sell in his
shop. He made three times as many four-
wheeled trucks as six-wheeled trucks,
He used 54 wheels altogether
How many four-wheel and
siy-wheel trucks did he make?
Answer: 9 Four Wheel and 3 6 Wheel Trucks
Step-by-step explanation:
Let FW be the four-wheel trucks and SW the six-wheel trucks.
Total wheels is 4*FW + 6*SW and is equal to 54 wheels
We know that FW = 3*SW, so substitute that into the above equation:
4*3*SW + 6*SW = 54
12*SW +6*SW = 54
18*SW = 54
SW = 3
Therefore FW = 3*3 = 9
FW 4 x 9 = 36 wheels
SW 6 x 3 = 18 wheels
Total = 54 wheels
In a survey, 17 people reported the number of hours they spent on the internet last week. Their response are given below. Complete the grouped relative frequency distribution for data. Write each real-time frequency as a decimal to the nearest hundredth( note using class with of 4)
Relative Frequency
We are given the data:
16 0 9 7 13 9 8 18 5 17 19 10 15 8 8 3 18
Now we need to count the number of elements that lie on each interval:
0 to 3 2
4 to 7 2
8 to 11 6
12 to 15 2
16 to 19 5
Total: 17
The counts are the absolute frequency. To calculate the relative frequencies, we divide each one by 17:
2/17 = 0.12
6/17 = 0.35
5/17 = 0.29
Thus, the table of relative frequencies is:
0 to 3 0.12
4 to 7 0.12
8 to 11 0.35
12 to 15 0.12
16 to 19 0.28
The sum of the relative frequencies must be approximately 1. In this case, the sum is 0.99 because of rounding errors.
a choir director made a histogram showing the ages of the members of the choir. which statement about the data in the histogram must be sure?
answer options are in the picture!!
Answer:
the Choir has total of 100 members must be correct answer
more than half......................... can't be right cause there r exactly 50 members between 43-73,
second one can't be right cause no data was given no. of men and women
there r 35 members exactly who r less than 32 years so it's wrong.
hope it helps.
Answer:
the Choir has total of 100 members
Step-by-step explanation:
if the size of a sample randomly selected from a population is increased from 100 to 400, then the standard deviation of the sampling distribution of the sample proportion will: decrease remain the same increase
As n increases, the denominator increases, causing the standard deviation to decrease.
Assuming that the sample is selected randomly and independently from the population, the standard deviation of the sampling distribution of the sample proportion will decrease as the sample size is increased from 100 to 400.
This is because as the sample size increases, the sample proportion becomes a more accurate estimate of the population proportion, and the variability or dispersion of the sample proportion around the true population proportion decreases. This can be seen mathematically using the formula for the standard deviation of the sampling distribution of the sample proportion, which is:
σp = sqrt[p(1-p) / n]
where p is the population proportion and n is the sample size. As n increases, the denominator increases, causing the standard deviation to decrease.
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See photo for problem!
A system of linear equations to represent this situation are;
x + y + z = 12
2.5x + 3.25y + 1.25z = 25.75
z = y + 2
The true statement is: D. the solution to this system is nonviable because it results in a fractional number of flowers.
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the number of each type of flowers, and then translate the word problem into a linear equation as follows:
Let the variable x represent the number of roses.Let the variable y represent the number of lilies.Let the variable z represent the number of carnations.For the total number of each type of flowers, we have the following linear equation:
x + y + z = 12 .....equation 1.
For the total cost of a bouquet containing each type of flowers, we have the following linear equation:
2.5x + 3.25y + 1.25z = 25.75 .....equation 2.
Since there are two (2) more lilies than carnations, we have the following linear equation:
z = y + 2 .....equation 3.
Substituting equation 3 into eqn. 1, we have:
x + y + y + 2 = 12
x + 2y = 10
x = -2y + 10
2.5x + 3.25y + 1.25z = 25.75
2.5(-2y + 10) + 3.25y + 1.25(y + 2) = 25.75
-1.78y = -3
y = 3/1.78
y = 1.6854
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Which value is the most precise representation of the
circumference of a circle with a diameter of 13?
a. 13(d)(7)
b. 13(3.14159)
C. 1310
d. 40.8407045
The answer would be B because its pieRsquared
Evaluate the expression when a=8.
a²-9=?
Answer:
(a-3)(a+3) is the answer
\(\implies {\blue {\boxed {\boxed {\purple {\sf {55}}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\( {a}^{2} - 9\)
Substituting the value "\(a = 8\)" in the above expression, we have
➺ \( \: {8}^{2} - 9\)
➺ \( \: (8 \times 8) - 9\)
➺ \( \: 64 - 9\)
➺ \( \: 55\)
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)
Perform the indicated operation. (-3 + 5i) - (7 + 9i) -10 + 4i 4 - 4i -10 - 4i
Answer:
-26-8i does this help?
Step-by-step explanation:
I took what was in the parenthesis and put them together coming out with -10 and -4i. Then I took what was next and started putting the variables together and the numbers together.
Find the exact value of sin(α β), if sinα= 3 5 and sinβ= 5 13, with α in quadrant i and β in quadrant
The exact value of sin(α + β) is -16/65.
To find the exact value of sin(α + β), we can use the trigonometric identities and the given information about the values of sinα and sinβ.
We are given:
sinα = 3/5 (α in quadrant I)
sinβ = 5/13 (β in quadrant II)
Let's use the sum formula for sine:
sin(α + β) = sinα * cosβ + cosα * sinβ
To evaluate sinα, we need to find cosα using the Pythagorean identity:
sin²α + cos²α = 1
Given sinα = 3/5, we can solve for cosα:
(3/5)² + cos²α = 1
9/25 + cos²α = 1
cos²α = 1 - 9/25
cos²α = 16/25
cosα = ± √(16/25)
cosα = ± 4/5
Since α is in quadrant I, cosα is positive:
cosα = 4/5
Similarly, we need to find cosβ using the Pythagorean identity:
sin²β + cos²β = 1
Given sinβ = 5/13, we can solve for cosβ:
(5/13)² + cos²β = 1
25/169 + cos²β = 1
cos²β = 1 - 25/169
cos²β = 144/169
cosβ = ± √(144/169)
cosβ = ± 12/13
Since β is in quadrant II, cosβ is negative:
cosβ = -12/13
Now, substitute the values of sinα, cosα, sinβ, and cosβ into the sum formula for sine:
sin(α + β) = (3/5) * (-12/13) + (4/5) * (5/13)
sin(α + β) = -36/65 + 20/65
sin(α + β) = -16/65
Therefore, the exact value of sin(α + β) is -16/65.
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ANYONE GOOD AT MATH CAN PLEASE HELP ME???
Answer:
i can help you
any time u want
Answer:
i am not perfect in math but i always trying to help you
Alyssa buys a 5 pound bag of rocks for a fish tank she uses 1 1/8 pounds for a small fish bowl how much is left
Alyssa buys a 5 pound bag of rocks for a fish tank. She uses 1 1/8 pounds for a small fish bowl. So we need to find how much is left.
5 - 1 1/8
=40/8 - 9/8
=31/8
=3 7/8 pounds of rocks left.
Therefore, 3 7/8 pounds of rocks are remaining. The answer can be verified as follows:
If we add 1 1/8 pounds of rocks used to 3 7/8 pounds of rocks remaining, then we will get 5 pounds, which is the total amount of rocks Alyssa initially purchased. This is because the addition of the quantities of the rocks used and the remaining rocks should always equal the total quantity of rocks.
Therefore, our answer is correct and can be supported by this check. Alyssa bought a 5 pound bag of rocks for a fish tank and used 1 1/8 pounds of it for a small fish bowl.
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Please Please Please Help me with this math problem
Answer:
y=10(3/4)^x
10 and 3/4
Step-by-step explanation:
What is the value of x ?
Answer:
25
Step-by-step explanation:
180-(21+73+51)=25
Hey there! :)
Answer:
C. m∠x = 35°.
Step-by-step explanation:
Begin by finding the value of the third angle of the triangle. Recall that all interior angles of a triangle sum up to 180°:
180 - 73 - 51 = 56°.
Since the top angle is split into x and 21°, simply subtract to solve for x:
56 - 21 = 35°. Therefore:
m∠x = 35°.
need help with multiple questions (and if you can, show your work, thanks):
1: Measure 8 tbsp. chocolate sauce and add 2 1/2 cups of milk.
2: Start with 1 3/4 cups of milk and add 2 1/2 tbsp. chocolate sauce.
3: Add 3 1/3 tbsp. chocolate sauce to 1 1/4 cups milk.
4: For every 1 cup of milk add 2 1/2 tbsp. of chocolate sauce.
5: Stir 1 tbsp. chocolate sauce into 2/3 cup milk.
With this query, no effort is necessary. measure the tbsp. of all items.
Is milk consumption healthy?A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.
1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.
No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.
2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.
No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.
No work is required for this question. It is a simple instruction to add \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.
4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.
5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.
No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.
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Please please I’m beginning you!
Answer:
Soccer: 30,000 fans
Golf: 60,000 fans
Tennis: 135,000
Basketball: 225,000
Football: 330,000
Hockey: 720,000
Step-by-step explanation:
I think making the circle graph is self explanatory, sorry, I can't show it.
f(x) = -22 – 14
Find f(9)
Answer:
-4
Step-by-step explanation:
f(9)=-22-14
f(9)=-36
f multiplied by 9divide by 9=-36divide by 9
f=-4