The number of different combinations that are possible for Nick, given his baseball hats are A. 4 combinations.
How to find the number of combinations?Nick has two options for hats, and two options for sweatshirts/sweaters. To find the number of combinations, we can multiply the number of options for each item.
There are two baseball hats and two clothes - sweatshirt and sweater.
The number of combinations is:
= 2 (hats) x 2 (sweatshirts/sweaters)
= 4 combinations
In conclusion, as regards the number of combinations that Nick can make, there are four.
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(15x²+x²+7)-(6x² - 2x³)-7x²
Answer:
= 3x² + 7 +2x³.
Step-by-step explanation:
Here is my solution to my answer.
What is the volume of this right cone?
O 40 cm³
O 300 cm³
O 400 cm³
O 480 cm³
15.6 cm
12 cm
10 cm
The volume of the right cone is (c) 400π cm cube
How to determine the volume of the coneFrom the question, we have the following parameters that can be used in our computation:
Radius = 10 cm
Height = 12 cm
The volume of the cone is calculated as
Volume = 1/3πr²h
Substitute the known values in the above equation, so, we have the following representation
Volume = 1/3π * 10² * 12
Evaluate
Volume = 400π
Hence, the volume is 400π cm cube
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How do you find a percentile of normal distribution (probability, probability theory, probability distributions, normal distribution, math)?
To find the percentile of a normal distribution, first determine the mean, then convert the interested value to a standard score, look-up the normal distribution table to find the area to the left of the normal score. Finally, multiply the area by 100.
Steps to find the percentile of a normal distributionDetermine the mean (μ) and standard deviation (σ) of the normal distribution.Convert the value you are interested in (i.e., the score) to a standard score (z-score) using the formula:z = (x - μ) / σ
where x is the value of interest.
Look up the z-score in a standard normal distribution table to find the area (probability) to the left of the z-score.Multiply the area by 100 to get the percentile.For example, suppose you want to find the percentile of a test score of 85, which comes from a normal distribution with a mean of 75 and a standard deviation of 10.
The mean (μ) is 75 and the standard deviation (σ) is 10.The z-score for a test score of 85 is:z = (85 - 75) / 10 = 1
Using a standard normal distribution table, we can find that the area to the left of a z-score of 1 is 0.8413.To find the percentile, we multiply the area by 100:0.8413 * 100 = 84.13
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What is the value of a?
[tex]k=\sqrt{f+f}\\f=a^2\\a=?[/tex]
In linear equation, √2a² is the value of a .
What are examples of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. As an illustration, the conventional form of the linear equation 2x+3y=5 It is rather simple to locate both intercepts when an equation is stated in this way (x and y).
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
k = √f + f
f = a²
k = √a² + a²
= √2a²
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Phyllis invested $11,000, a portion earning a simple interest rate of
2 1/2% per year and the rest earning a rate of 2% per year. After one year the total interest earned on these investments was $255.00. How much money did she invest at each rate?
She invest money at each rate
First = 1000
Second = 10,000
What is simple interest?Simple interest is a method of calculating the interest charge. The interest can be calculated as the product of principal amount, rate and time peroid.
We are given that Phyllis invested $11,000, a portion earning a simple interest rate of 2 1/2% per year and the rest earning a rate of 2% per year.
Given the following :
Amount invested = $11,000
A portion earns 2 and 1/2 % interest per year
The rest earns a rate of 2% per year
The Total Interst earned after a year = $255
Amount invested at each rate;
Let amount invested at 2 1/2% = a
Amount invested at 2% is; 11,000 - a
Simple interest = principal x rate x time
First investment :
a x 5/2% x 1
Second :
(11000 - a) x 2%
Firat investment + second = $225
a x 0.025 + (11000 - a) x 0.02 = 225
0.025a + 220 - 0.02a = 225
0.005a = 225 - 220
0.005a = 5
a = 5 / 0.005
a = 1000
Amount in first investment = 1000
Second investment = 11000 - 1000 = 10,000
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f(x) = -3x + 2 f(7) =
The value of the function is -19.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -3x + 2
Substitute x = 7.
f(7) = -3 x 7 + 2
f(7) = -21 + 2
f(-7) = -19
Thus,
-19 is the value.
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95. A basketball team has won 60 games out of 80 played. It has 40 games still to play. How many of these must the team win to make its record for the season 80%?
F) 20
G) 22
H) 25
J) 30
K). none of these
Help 30 points !!!
Answer:
K. none of these (36 wins needed)
Step-by-step explanation:
1st way
80 + 40 = 120
80% of 120 = 96
96 - 60 = 36
2nd way
80 played + 40 left = 120 total
80% season record times 120 total =
12 times 8 is 96 = 80% win record
60 won 20 lost out of 80 total
120 total - 96 wins = 24 losses
96 wins 24 losses 120 total
96 wins - 60 wins = 36 wins out of 40 total
Government saving equals
Select one:
a.
taxes less government expenditures.
b.
government purchases of goods and services less taxes.
c.
taxes.
d.
government purchases of goods and services plus transfer payments less taxes.
e.
transfer payments.
Government saving equals: a. taxes less government expenditures.
What is government expenditure?Government expenditure can be defined as those expenses that government has incurred and this occur when government spent on goods and services.
Government saving tend to equals taxes less government expenditure which is option A was the correct option.
Therefore we can conclude that the correct option is A.
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1. Which of the following is not a variable cost?
A. wages paid to labor
B. seeds and fertilizers for paddy farmers
C. rent on land
D. electricity bills
Answer:
b
Step-by-step explanation:
b seeds snd fertilizer
Which of the following are like terms?
Select 3 correct answer(s)
Question 1 options:
3x2 & 3x4
3x4 & 2x4
3y2 & 3x2
2x2 & 3x2
x2 & y2
2x & 3x
4x2 & 4x
The like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x
What is like terms?Terms whose variables (such as x or y) with any exponents (such as the 2 in x²) are the same are called like terms,
Examples: 7x and 2x are like terms because they are both "x".
Given are some pairs of expressions, we are asked to identify which are like terms,
We know that, according to the definition of the like terms,
Like terms are those terms which contain the same variable which is raised to the same power,
Therefore, the expressions showing the like terms are,
3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x
Because, they have same variable with same powers.
Hence, the like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x
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A group of friends’ dinner bill is $82.95 They want to leave a 15% tip. What is their total dinner bill, including tip?
The total dinner cost, including the tip, comes at $92.40.
What is the percentage of a number explained?The definition of percentage is "out of 100." In mathematics, percentages are used to represent parts of a whole, much as fractions and decimals.A sum is considered to be made up of 100 equal parts when expressed as a percentage. Use the symbol% to denote percentages in numbers.A lunch for a few friends will set you back $82.95
They want to leave a 15% tip.
So,
Amount of tip:
15 % of 82.95 = 15*82.95 / 100
15 % of 82.95 = 12.4425
Total cost = 82.95 + 12.4425
Total cost = 95.3925
Total cost = $92.40
Thus, the total dinner cost, including the tip, comes at $92.40.
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question shown below
The equation of the graphed line can be found to be 2x + 2 y = 4
How to find the equation of the line ?To find the equation of the line, you first need to find the slope which requires picking two points on the line. ( 4, 0 ) and ( 0, 2 )
The slope is:
= Change in y / Change in x
= ( 0 - 2 ) / ( 4 - 0 )
= - 2 / 4
= - 1 / 2
The equation form is:
y = mx + b
m = slope
b = y - intercept which is shown on the line as 2
The equation is:
y = - 1 / 2 x + 2
To put it in the form on the question,
( y = - 1 / 2 x + 2 ) x 2
2 y = - 2 x + 4
2x + 2 y = 4
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a cyclist is riding their bicycle on flat terrain at a speed of 22 miles per hour. the wheels on the bike have a diameter of 26 inches.
The angular speed in radians per minute of the cyclist riding a bike with wheels of diameter 26 inches at a speed of 22 miles per hour is approximately 1124.65 radians per minute.
The formula for the angular speed is:
angular speed = linear speed / radius
where the radius is half the diameter of the wheel. We need to convert the units to be consistent, so let's convert the speed from miles per hour to inches per minute and the diameter from inches to feet:
22 miles per hour = 22 * 5280 feet per hour / 60 minutes per hour
≈ 2437.3 inches per minute
26 inches = 26/12 feet = 2.1667 feet
Now we can calculate the angular speed:
angular speed = 2437.3 / 2.1667 ≈ 1124.65 radians per minute
Your question is incomplete, most likely it was:
A cyclist is riding their bicycle on flat terrain at a speed of 22 miles per hour. the wheels on the bike have a diameter of 26 inches.
Find the angular speed in radians per minute.
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Stacy says there is not enough information to prove that ACXBCX. Explain why Stacy's statement is incorrect.
Stacy's statement is incorrect because Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.
Reflexive Property of Congruence:
An angle, line segment, or shape is always congruent to itself, according to the reflexive characteristic of congruence in geometry.Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence. Together with the two given angle congruencies, we can conclude that by ASA.Stacey did not consider the side common side to both triangles such that by Reflexive Property of Congruence.
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If △ EFG ∼ △ ABC
, What value of x will make the two triangles similar?
Answer:
the value of x will be 9 they all are similar so we will just take ratios and do cross multiplication
Identifying a Graph from an Equation
Which graph represents a function with amplitude 4 and period pi?
The graph of the function f(x) = 4sin(2x) is illustrated in the image.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
We know sin(x) is a periodic function with amplitude 1 and a period of 2π.
Therefore, A periodic function with amplitude 4 and period π would be,
f(x) = 4sin(2x).
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What can be combined with 2x2? Select
all that apply.
Answer:
its only -11x^2
Step-by-step explanation:
2x^2 and -11x^2 have the same variable.
A car tire company is testing a new tire that has proposed improved performance in wet conditions. An experiment was performed on a closed, half-mile track in wet conditions with the same car and driver. Two trials were performed with standard and new Wet Condition tires. What would the tire company MOST LIKELY infer based on this data?
Responses
A There is no hypothesis provided.There is no hypothesis provided.
B The hypothesis was neither verified or refuted.The hypothesis was neither verified or refuted.
C The hypothesis of the company is refuted.The hypothesis of the company is refuted.
D The hypothesis of the company is verified.
Answer:
B
Step-by-step explanation:
Based on the information provided, it is not possible to determine the hypothesis of the tire company. Therefore, options C and D can be eliminated.
Option A suggests that no hypothesis was provided, which may be possible. However, it is implied that the hypothesis was related to the proposed improved performance in wet conditions of the new tire. Therefore, option A may not be the best answer.
Option B suggests that the hypothesis was neither verified nor refuted. This is a common outcome in many experiments, and it is possible that the tire company may draw this conclusion based on the data. Therefore, option B is the most likely answer.
So, the tire company MOST LIKELY would infer that the hypothesis was neither verified nor refuted based on this data.
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The value of the equation is 4.19p = -6.1
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
2.3p - 10.1 = 6.5p - 4 - 0.01p
On simplifying , we get
Adding 4 on both sides , we get
2.3p - 6.1p = 6.49p
Subtracting 2.3p on both sides , we get
4.19p = -6.1
Now , the value of the equation similar to 4.19p = -6.1 is 2.3p - 6.1p = 6.49p
Hence , the equation is 4.19p = -6.1
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A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.
How many fluid ounces of milk were used during the class?
Responses
10 fl oz
10 fl oz
23 fl oz
23 fl oz
49 fl oz
49 fl oz
101 fl oz
Answer:
311 fl oz only were used, that is what I got for your answer..
The answer is 49 fl oz
14. Cheyenne took a train to visit her aunt. The train traveled at a constant speed of 60 miles per hour. Complete the table, and then write an equation to find the total distance, d, traveled after t hours.
The equation to find the total distance would be 60t.
What is total distance?
Whole distance refers to the actual distance between the origin and destination locations of the substance.
The distance traveled is equal to the speed multiplied by the time traveled, which gives the formula:
d = 60t
where d is the total distance traveled in miles, and t is the time traveled in hours.
Therefore, The equation to find the total distance would be 60t.
The table is below:
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Benjamin considers purchasing a car for $35,000. He has been approved for a 6-
year loan for $30,000 with an interest rate of 5.25%. He also has the option to lease the car for $600 per month for 6 years with a $2,500 down payment.
Using the loan amortization formula, how much money does Benjamin save over the 6 years if he purchases the car? Do not consider the future value of the car in your answer.
Answer: Benjamin would save $11,720.48 over 6 years if he purchases the car instead of leasing it.
Step-by-step explanation:
To calculate the cost of the car if Benjamin purchases it, we can use the loan amortization formula. The formula for calculating the monthly payment of a loan is:
P = (r * A) / (1 - (1 + r)^(-n))
Where:
P = the monthly payment
r = the monthly interest rate (which is the annual interest rate divided by 12)
A = the loan amount
n = the total number of payments
For Benjamin's loan, the loan amount is $30,000, the interest rate is 5.25%, and the loan is for 6 years, or 72 months. Plugging these values into the formula, we get:
r = 0.0525 / 12 = 0.004375
A = $30,000
n = 72
P = (0.004375 * $30,000) / (1 - (1 + 0.004375)^(-72)) = $484.64
Therefore, Benjamin's monthly payment for the car loan is $484.64.
If Benjamin chooses to lease the car instead, he will pay $600 per month for 72 months, plus a $2,500 down payment. Therefore, the total cost of leasing the car is:
Total cost = ($600 * 72) + $2,500 = $45,700
To calculate how much money Benjamin saves by purchasing the car instead of leasing it, we can subtract the total cost of the car loan from the total cost of the lease:
Savings = Total cost of lease - Total cost of car loan
Savings = $45,700 - ($484.64 * 72)
Savings = $11,720.48
In 2016 the average NBA ticket for the finals was $1444. In 2017, the price increased by 20%. If this trend continues, what will be the price in 2020? Round to the nearest dollar
Answer:
Step-by-step explanation:
To find the price of the NBA ticket in 2017, we need to add 20% to the 2016 price:
Price in 2017 = $1444 + 0.20 x $1444 = $1732.80
To find the price of the NBA ticket in 2020, we need to increase the 2017 price by 20%:
Price in 2020 = $1732.80 + 0.20 x $1732.80 = $2079.36
Rounding this to the nearest dollar, we get:
Price in 2020 = $2079
59.05 as a fraction of an hour
The given decimal in fraction as 1181/20.
What is conversion of decimal number to fraction?Steps for conversion:
Identify the place value of the digits after the decimal, in the number.Use that to determine what the denominator of the fraction would be.Remove the decimal point. Re-write in the fraction form and simplify itExpress in terms of the lowest equivalent fraction.The given decimal number is 59.05
Here, multiply 100 to both the numerator and denominator of the decimal, that is
59.05/1 ×100/100
= 5905/100
= 1181/20
Therefore, the fraction is 1181/20.
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Compute the probability of randomly drawing six cards from a standard deck of cards and getting four aces and two kings. Give your answer accurate to at least eight decimal places. Compute the probability that a five-card poker hand is dealt to you that contains all hearts. Give your answer accurate to at least six decimal places.
The probability of being dealt a five-card poker hand that contains all hearts is approximately 0.000495, or 0.0495%.
Probability is the measure of the likelihood of an event happening, and it is expressed as a number between 0 and 1. The closer the number is to 0, the less likely the event is to occur, and the closer it is to 1, the more likely it is to occur.
Now, let's look at the first question: what is the probability of drawing six cards from a standard deck of cards and getting four aces and two kings?
So, the number of combinations of six cards from a deck of 52 cards is:
52C6 = 52!/6!(52-6)! = 20,358,520
Next, we need to find out how many ways we can draw four aces and two kings from the deck. There are 4 aces and 4 kings in a standard deck of cards, so the number of ways to draw four aces and two kings is:
4C4 x 4C2 = 1 x 6 = 6
The first factor, 4C4, represents the number of ways to draw all 4 aces, and the second factor, 4C2, represents the number of ways to draw 2 kings from the remaining 4 kings.
Finally, we can calculate the probability of getting four aces and two kings by dividing the number of ways to draw four aces and two kings by the number of combinations of six cards from the deck:
P(four aces and two kings) = 6/20,358,520 = 0.000000294
So, the probability of randomly drawing six cards from a standard deck of cards and getting four aces and two kings is approximately 0.00000029, or 0.0000294%.
Now, let's move on to the second question: what is the probability that a five-card poker hand is dealt to you that contains all hearts?
In a standard deck of cards, there are 13 hearts and 52 cards in total, so the probability of drawing one heart from the deck is 13/52, or 1/4. The probability of drawing five hearts in a row is the product of the probabilities of drawing each heart, since each card is drawn without replacement:
P(five hearts) = (13/52) x (12/51) x (11/50) x (10/49) x (9/48) = 0.000495
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Identify the function of the figure below this is trigonometry by the way
The graph shown is the graph of the cotangent function.
What is the graph of Cotangent?
The graph of the cotangent function, cot(x), is a periodic function that has a period of 2π. The cotangent function is the reciprocal of the tangent function, so its graph is related to the graph of the tangent function.
Like the tangent function, the cotangent function has singularities at x = (n + 1/2)π where n is an integer. At these points, the function has a vertical asymptote, meaning it approaches positive and negative infinity as x approaches (n + 1/2)π from either side.
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By conversion of the markup formula, solve the following.
Note: Round your answer to the nearest whole percent.
Percent markup on cost: ?
Percent markup on selling price: 25%
Markup on cost price is 75%
Percent markup on selling price: 25%
Percent markup on cost: ?
Markup is the total profit on a particular commodity or service. It is represented as a percentage over a cost price.
Percent markup on selling price is 25% which means that a product is sold out with 25% profit,
Percent markup on cost price =100-markup on selling price
= 100-25
=75
Hence, markup on cost price is 75%
The value of Percent markup on cost nearest to the whole number is,
⇒ 75%.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The value of Percent markup on selling price is,
⇒ 25%
Hence, The value of Percent markup on cost is,
⇒ 100% - selling price
⇒ 100% - 25%
⇒ 75%
Thus, We get;
The value of Percent markup on cost is,
⇒ 75%
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Craig forgot to record the amount of the check he wrote to the hardware store. The statement from his bank shows an ending balance
of $521.60. What is the amount of the check Craig wrote to the hardware store? Define a variable for the unknown quantity. Write and
solve an equation to answer the question.
Answer: Let's call the amount of the check Craig wrote to the hardware store "x".
According to the problem, the statement from Craig's bank shows an ending balance of $521.60. This means that his balance before writing the check was $521.60 + x.
So, we can write the equation:
$521.60 + x = $521.60
Subtracting $521.60 from both sides:
x = 0
This means that Craig's check was for $0.
Step-by-step explanation:
Let t
be the time in weeks. At time t=0
, organic waste is dumped into a pond. The oxygen level in the pond at time t
is given by
f(t)=t2−t+1t2+1
.
Assume f(0)=1
is the normal level of oxygen.
(a) On a separate piece of paper, graph this function.
(b) What will happen to the oxygen level in the lake as time goes on?
The oxygen level will eventually return to its normal level in the long-run.
(c) Approximately how many weeks must pass before the oxygen level returns to 75
% of its normal level?
weeks (Round to at least two decimal places.)
The graph is plotted and attached
The oxygen level will be increasing as time goes on
In 0.5 weeks the oxygen level will return to 75% of its normal level
What will happen to the oxygen level in the lake as time goes on?This is the end behavior of the graph, of the function f(t) = t^2 − t + 1, the graph shows that as t tends to infinity. the oxygen level will continue to increase.
The graph is plotted and attached
From the problem. the normal level of oxygen is at f(0) = 1
75% of 1 = 0.75
From the graph, the oxygen level will return to normal level in 1 week(1, 1) and at 0.5 the oxygen level is 0.75, (0.5,0.75). This is the vertex of the graph.
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Solve the inequalities
Answer:
m ≥ 6
Step-by-step explanation:
The question asks us to solve the following inequality:
[tex]8m - 8 \geq 40[/tex].
To solve it, we need to make m the subject of the inequality:
[tex]8m - 8 \geq 40[/tex]
⇒ [tex]8m - 8 + 8 \geq 40 + 8[/tex] [Adding 8 to both sides of inequality]
⇒ [tex]8m \geq 48[/tex]
⇒ [tex]\frac{8}{8}m \geq \frac{48}{8}[/tex] [Dividing both sides of inequality by 8]
⇒ [tex]m \geq \bf 6[/tex]
Therefore, the solution to the inequality is m ≥ 6.