Answer:
36
Step-by-step explanation:
200-20=180
180/5=36
The distribution of retirement age for NFL players is normally distributed with a mean of 33 years old and a standard deviation of about 2 years. What is the percentage of players whose age is less than 31? a 30.85% b 15.87% c 71.2% d 69.15%
The correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.
To find the percentage of players whose age is less than 31, we can use the standard normal distribution and z-scores.
First, we need to calculate the z-score for the value 31 using the formula:
z = (x - μ) / σ
where x is the value we want to find the percentage for, μ is the mean, and σ is the standard deviation.
In this case, x = 31, μ = 33, and σ = 2. Plugging these values into the formula, we get:
z = (31 - 33) / 2 = -1
Next, we can look up the cumulative probability associated with the z-score -1 in the standard normal distribution table. The cumulative probability represents the percentage of values that are less than the given z-score.
From the standard normal distribution table, the cumulative probability for z = -1 is approximately 0.1587, which corresponds to 15.87%.
Therefore, the correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.
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I need this answer as soon as possible
Type the correct answer in the box. Spell all words correctly. What is the unfolding of a 3D object onto a planar surface called? The unfolding of a 3D object onto a planar surface is called 2D shape. The object is unfolded or unrolled to obtain the
Answer:
it is called A ROLLING !
Step-by-step explanation:
Answer:
rolling
Step-by-step explanation:
A system of equations is shown below.
Equation 1: 2x−y=−8
Equation 2: x+2y=6
To begin solving the system of equations, Equation 1 is multiplied by a value of 2 to create Equation 3.
Equation 3: 4x−2y=−16
Equation 2: x+2y=6
Which procedure could best be used to eliminate one of the variables?
Possible Answers:
add Equation 2 to Equation 3
subtract Equation 2 from Equation 3
subtract Equation 3 from Equation 2
multiply Equation 2 by a value of 4
Answer:
add equation 2 to equation 3
Step-by-step explanation:
x + 2y = 6 → (2)
4x - 2y = - 16 → (3)
adding (2) and (3) term by term will eliminate y
5x + 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
substitute x = - 2 into either equation (1) or equation(2) and solve for y
substituting into (2)
- 2 + 2y = 6 ( add 2 to both sides )
2y = 8 ( divide both sides by 2 )
y = 4
solution is x = - 2 and y = 4
PLSS HELPP I WILL BE GIVING BRAINLIEST:)
Answer:
It is 264 inches^3
Step-by-step explanation:
The volume of the top prism = 5 x 2 x 3 = 30
The volume of the bottom prism = 2 x 13 x 9 = 234
The total of these is 264 inches^3
23. What type of movement describes the change in the letter R? A TranslationB ReflectionC RotationD Cannot be determined
The answer is Rotation because you can see that the letter is in the same position.
In the case of translation, the letter should occupy different squares.
In the same way, with reflection, it would look like in the mirror and that is not the case.
What is the volume of a hexagon of 6.2 cm 9 cm and 5cm ?
What is the midline equation of the function h(x)=-3\cos(\pi x+2)-6h(x)=−3cos(πx+2)−6h, left parenthesis, x, right parenthesis, equals, minus, 3, cosine, left parenthesis, pi, x, plus, 2, right parenthesis, minus, 6?
Ans23.0
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
$20 is what percent of $40?
Please help ples
Answer:
50%
Step-by-step explanation:
50%
$20=50%
$20 x 2= $40
Miguel, the youngest child of a high school athletic director, was able to roll over at 3 months, crawl at 6 months, and walk at 12 months. This ordered sequence of motor development was largely due to
The ordered sequence of motor development in Miguel, where he rolled over at 3 months, crawled at 6 months, and walked at 12 months, was largely due to the normal progression of motor skills in infants.
The ordered sequence of motor development observed in Miguel aligns with the typical progression of motor skills in infants. It is a natural and expected pattern that most children go through as they grow and develop.
At around 3 months, infants typically gain enough muscle strength and control to roll over. This milestone is a result of their growing ability to lift their head and engage their core muscles.
Around 6 months, babies often develop the strength and coordination necessary to crawl. As their muscles become more developed, they can push up with their arms and move their legs in a coordinated manner.
By 12 months, many infants are able to walk independently. This milestone is the culmination of various factors, including increased leg strength, balance, coordination, and the ability to bear weight on their legs.
The ordered sequence of motor development observed in Miguel is largely a reflection of the natural progression of motor skills in infants, as their muscles and coordination abilities mature over time.
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The Quotient of 5 times a number and 7 is no more than 10.
how much money can the casino expect to gain/lose if 1000 people play that same bet throughout the day?
Once you have the probability and payout odds, you can use the above steps to determine the casino's expected gain/lose when 1000 people play the same bet throughout the day.
To accurately answer this question, more information is needed about the specific bet and the casino's odds for that bet.
However, I can help you determine the expected gain/lose once you provide the necessary information.
Step 1: Determine the probability of the bet outcome (win/lose) and the payout odds for each outcome.
Step 2: Calculate the expected gain/lose for a single bet by multiplying the probability of each outcome by its respective payout.
Step 3: Multiply the expected gain/lose per bet by the number of people (1000) to find the total expected gain/lose for the casino.
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Solve using the quadratic formula
By using the quadratic formula, the solution to this quadratic equation is equal to -0.5251 or -3.8081.
What is a quadratic equation?In Mathematics, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is modeled or represented by this mathematical expression:
\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\)
From the information provided, we have the following values;
3x² + 13x + 4 = 0
Where:
a = 3
b = 13
c = 4
Substituting the values into the quadratic formula, we have the following;
\(x = \frac{-(13)\; \pm \;\sqrt{(13)^2 - 4(3)(13)}}{2(3)}\\\\x = \frac{-13\; \pm \;\sqrt{169 - 72}}{6}\)
x = (-13 + √97)/6
x = -0.5251 or -3.8081.
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Consider the following IS-LM model: C=217+0.51Y_D I=156+0.16Y−1.038i G=254 T=203 i=0.04. The IS equation is determined to be Y=1,586.27−3,145.45i. The LM equation is given as i=0.04. Using the IS and LM equations, the equilibrium real output, Y, is (Round your response to the nearest integer.)
The equilibrium real output, Y, is approximately 1,460 (rounded to the nearest integer) in the given IS-LM model, using the provided IS and LM equations.
To find the equilibrium real output, we need to set the IS equation equal to the LM equation and solve for Y.
Given:
IS equation: Y = 1,586.27 - 3,145.45i
LM equation: i = 0.04
Substituting the LM equation into the IS equation:
1,586.27 - 3,145.45(0.04) = Y
Simplifying:
1,586.27 - 125.82 = Y
1,460.45 = Y
Therefore, the equilibrium real output, Y, is approximately 1,460 (rounded to the nearest integer).
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is this right or no?
Can somebody tell me the answer and I will pay u
Makes the equation 6x – 14 + 3(2x – 1) = 5 – 2(x – 10) true? *
Bodmas 6x+14= 9x -14×1x=14-10=4 x=10
Give the least common multiple: 3a, 15 _____
Answer:
Answer: LCM of 3 and 15 is 15. 2.
Step-by-step explanation:
Hope this helps
A research analyst disputes a trade group's prediction that back-to-school spending will average $606.40 per family this year. She believes that average back-to-school spending will significantly differ from this amount. She decides to conduct a test on the basis of a random sample of 20 households with school-age children. She calculates the sample mean as $628.85. She also believes that back-to-school spending is normally distributed with a population standard deviation of $45. Use 5% significance.
Part 1
State the null hypothesis and the alternative hypothesis for testing that the average back-to-school spending differs from $606.40.
Part 2
State the critical value(s) for testing this hypothesis.
Part 3
Calculate the test statistic Z for testing this hypothesis
Part 4
State and support your conclusions
Based on the calculations we have rejected the null hypothesis .
Given,
Standard deviation = $ 45
Random sample = 20
Now,
Part 1
Set the null hypothesis and alternative hypothesis,
\(H_{0} : u = 0\\ H_{0} : u > 606.40\)
Part 2
The value of z critical signifies 5% level of significance .
\(Z_{0.05} = 1.65\)
According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .
Part 3
The value of Z can be calculated by the formula,
Z = X - µ/σ/√n
Substitute the values ,
Z = 628.85 - 606.40/45/√20
Z = 1.93
Part 4
From the above calculation the value of Z is greater than the critical value .
Thus we reject the null hypothesis .
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A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing 12$ is displayed by the store manager at a selling price of 8$. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
please help me in really stuck you would be a huge help
Answer:
Step-by-step explanation:
12$ = original price (need to add 67% mark up)
12/100 = 0.12 = 1%
0.12 x 67 = $8.04 markup
12 + 8.04 = $20.04 is the correct selling price
the error was accidently not adding the markup ($8.04) to the original price
A pilot takes a taxi from the airport to a hotel. The taxi driver charges a $2.50 initial charge plus $2.65 per mile. Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?Y=2.65x+2.50y=2.50x+2.65y=2.65(x+2.50)y=2.65x−2.50
Answer:
Y=2.65x+2.50
Step-by-step explanation:
Given that:
Initial charge = $2.50
Charge per mile = $2.65
Find the total cost (y) of the trip ; if number of miles = x
Total cost of trip = initial charge + (charge per mile * number of miles)
y = $2.50 + ($2.65 * x)
y = $2.50 + $2.65x
Find the value of x. Please if you can solve two questions sorry foe that I just don’t have time in 20 minutes it must be returned
Answer:
x = 116
Explanation:
We can name the angles as follows:
So, taking into account the figure, the sum of angle A and the angle with measure 26 is equal to 90. Then, the value of angle A is:
A + 26 = 90
A + 26 - 26 = 90 - 26
A = 64
Then, angles A and B are part of an isosceles triangle. So, the measure of them is the same:
B = A
B = 64
Finally, the sum of angles B and x is 180 degrees because they form a straight line. So, the value of x is:
B + x = 180
64 + x = 180
64 + x - 64 = 180 - 64
x = 116
Therefore, the answer is x = 116
Part A: Virginia earned $14 walking her neighbors' dogs on Saturday. She earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Virginia earned Saturday and Sunday.
Part B: Virginia was able to walk 2 less than twice as many dogs as her friend Alicia. Write an algebraic expression to represent the number of dogs Virginia walked compared with Alicia.
Consider the expressions given below. For each expression below, select the letter that corresponds to the equivalent expression from that given list.
Answer:
(4x³ - 4 + 7x) - (2x³ - x - 8) ----> B.
(-3x² + x⁴ + x) + (2x⁴ - 7 + 4x) ----> D.
(x² - 2x)(2x + 3) ----> A.
Step-by-step explanation:
.
1. The stacked bar chart below shows the composition of religious affiliation of incorming refugees to the United States for the months of February-June 2017. a. Compare the percent of Christian, Musl
The stacked bar chart below shows the composition of the religious affiliation of incoming refugees to the United States for the months of February-June 2017. a. Compare the percentage of Christian, Muslim, and Buddhist refugees who arrived in March. b. In which month did the smallest percentage of Muslim refugees arrive?
The main answer of the question: a. In March, the percentage of Christian refugees (36.5%) was higher than that of Muslim refugees (33.1%) and Buddhist refugees (7.2%). Therefore, the percent of Christian refugees was higher than both Muslim and Buddhist refugees in March.b. The smallest percentage of Muslim refugees arrived in June, which was 27.1%.c. The percentage of Muslim refugees decreased from April (31.8%) to May (29.2%).Explanation:In the stacked bar chart, the months of February, March, April, May, and June are given at the x-axis and the percentage of refugees is given at the y-axis. Different colors represent different religions such as Christian, Muslim, Buddhist, etc.a. To compare the percentage of Christian, Muslim, and Buddhist refugees, first look at the graph and find the percentage values of each religion in March. The percent of Christian refugees was 36.5%, the percentage of Muslim refugees was 33.1%, and the percentage of Buddhist refugees was 7.2%.
Therefore, the percent of Christian refugees was higher than both Muslim and Buddhist refugees in March.b. To find the month where the smallest percentage of Muslim refugees arrived, look at the graph and find the smallest value of the percent of Muslim refugees. The smallest value of the percent of Muslim refugees is in June, which is 27.1%.c. To compare the percentage of Muslim refugees in April and May, look at the graph and find the percentage of Muslim refugees in April and May. The percentage of Muslim refugees in April was 31.8% and the percentage of Muslim refugees in May was 29.2%. Therefore, the percentage of Muslim refugees decreased from April to May.
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Josh has a triangular garden with sides represented with 15g²- 6g + 8.The other sides are -17g² - 22g - 13 and the third side represented by 6g² - 6g + 3. What is the perimeter of her garden?
The perimeter of her garden is 4g² -34g - 2 cm.
How to calculate the perimeter?It is important to note that the perimeter of a triangle is the addition of all its side. This will be illustrated thus:
In this case, Josh has a triangular garden with sides represented with 15g²- 6g + 8. The other sides are -17g² - 22g - 13 and the third side represented by 6g² - 6g + 3.
The perimeter will be:
= 15g²- 6g + 8 -17g² - 22g - 13 + 6g² - 6g + 3.
= 4g² -34g - 2
The perimeter is (4g² -34g - 2)cm.
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1) X + 6 = 50 pls help no links
Answer:
the correct answer is x=44
x +6 = 50
x = 50-6
x = 44
Answer:
X= 50-6
=44
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The price of a watermelon at a fruit stand goes up 7 cents each month. The first month the stand was open, a watermelon cost $1. 25. What will the cost of a watermelon be in the 30th month?.
The price of a watermelon at a fruit stand goes up 7 cents each month. The first month the stand was open, a watermelon cost $1. 25, then the cost of a watermelon in the 30th month will be $4.45
In the 30th month, the cost of watermelon will be $4.45.
To calculate this, you must multiply the initial cost of $1.25 by the number of months since the stand opened (30). That gives us $37.50. Then, add the total amount of cents that have been added each month
7 cents x 30 months = 210 cents
This brings the total up to $4.45.
Therefore, after 30 months, the cost of a watermelon at the fruit stand will be $4.45.
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You roll a standard number cube 7 times Assume that each number is equally likely to come up each time you roll To the nearest tenth of a percent the probability that number less than 3 comes up exactly 4 of the 7 times
Answer:
0.4%
Step-by-step explanation:
If we are looking to have a number less than 3 rolled 4 out of 7 times.
Our winning numbers are 1 and 2. Our losing numbers are 3, 4, 5, and 6.
This means that our winning percentage is 33.3% and our losing percentage is 66.6%.
We need to multiply these numbers together taking our number of rolls into account.
.333 * .333 * .333 * .333 * .666 * .666 * .666 = 0.0036
Need help asappppp thank youuuuu
30 * x⁵y⁸ will be the volume of the given rectangular prism.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.
Given a rectangular prism whose sides are mentioned in the problem.
From the general formula of the Volume of Cuboid:
Volume of cuboid = length *width*height
In our case,
Length = 3x²y²
Width = 5x²y⁴
Height = 2xy²
Thus,
volume of rectangular prism = 3x²y²* 5x²y⁴ * 2xy²
volume of rectangular prism = 30 * x⁵y⁸
therefore, the volume of the given rectangular prism will be 30 * x⁵y⁸.
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