Answer:
24 pounds
Step-by-step explanation:
Step 1: Find out how many pens he bought
12 pens per pack
Charles bought 60 packs
60 packs x 12 pens = 720 pens
Step 2: Find out how much Charles spent
2.80 per pack
Charles bought 60 packs
60 x 2.80 = 168 pounds
Step 3: Find out how many pens Charles sold
Charles sold 2/3 of his pens
2/3 x 720 = 480
Step 4: Find out how manypens he sold
Charles sold the pens for 40p
40p x 480 = 19200p
Step 5: Convert pences to pounds
19200p = 192 pounds
Step 6: Find the profit
192 - 168 = 24 pounds
Step 7: Therefore statement
Therefore he mad 24 pounds of profit
The unit rate for 156$ for 3 books is $___ per book
An
$52
Step bro
suck it
Answer:
52$
Step-by-step explanation:
Divide for the unit price of 1 book.
You get $52
all the values that are soulutions to the inequality x< -2
The carnival fundraiser at Westville Elementary School raised $300 on Friday. On Saturday, the carnival will raise 480 percent of that amount. Which statements are true about the amount of money that the carnival will raise on Saturday? Check all that apply.
The answer will be less than $300 because 100 is less than 480.
The answer will be greater than $300 because 480 is greater than 100.
(100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.
480 + 300 is the amount of money that the carnival raised on Saturday.
The carnival raised $780 on Saturday.
The carnival raised $1,440 on Saturday. its mulaple choice
Answer:
the second option, the third option, and the last option
Step-by-step explanation:
Answer: a,c,d
Step-by-step explanation: just took it
select whether the following numbers are rational or irrational. please help me
1)13/4: Rational (a fraction)
2)√17: Irrational (square root of a non-perfect square)
3)3π: Irrational (product of a rational number and an irrational number)
4)0.1 (1 bar): Rational (repeating decimal)
5)-√2: Irrational (negative square root of a non-perfect square)
6)√24: Irrational (square root of a non-perfect square)
7) -√49: Rational (negative square root of a perfect square)
1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.
2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.
3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.
4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.
5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.
6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.
7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.
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The complete question is :
Select whether the following numbers are rational or irrational.
1. 13/4
2. \sqrt{17}
3. 3 π
4. 0.1 (1 bar)
5. - \sqrt{2}
6. \sqrt{24}
7. - \sqrt{49
scores for the california peace officer standards and training test are normally distributed, with a mean of 50 and a standard deviation of 10. an agency will only hire applicants with scores in the top 10%. what is the lowest score an applicant can earn and still be eligible to be hired by the agency?
Score of 62.816 is the lowest score that can be earned in the California Police Officer Standards and Training test to be eligible to be hired by the agency.
We have a normal distribution of scores for the california peace officer standards and training Let X be the random variable representing scores for the California Police Officer Standards and Training test, X ~ Normal(50, 10²).
Mean = 50
Standard deviations = 10
Let x be the lowest score that can be earned to be eligible to be hired by the agency that is x is the lowest score than can be earned to get in top 10%. Therefore, P(X > x) = 0.10
P((X- 50)/10 > (x- 50)/10) = 0.10 (converting Normal variate to Standard Normal variate)
P(Z > (x - 50)/10) = 0.10 --(1)
From the Standard Normal Distribution table, P(Z > 1.2816) = 0.10 -- (2)
From comparing the equation (1) and (2),
=> (x- 50)/10 = 1.2816
=> x-50 = 12.816
=> x = 62.816
Thus, the required lowest score is 62.816.
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What base can you rewrite both 8 and 16 as using exponents?
2 can be used as the base for 8 and 16 to write in exponent form.
What is Number system?A number system is defined as a system of writing to express numbers.
We have to rewrite both 8 and 16 with same base as using exponents.
8 can be written 2×2×2
8 as 2³
16 can be written as 2×2×2×2
16 as 2⁴
Hence, 2 can be used as the base for 8 and 16 to write in exponent form.
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FILL THE BLANK.
-If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the _____ level.
nominal
ratio
ordinal
interval
If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the nominal level.
What is the nominal level of measurement?The nominal level of measurement is the least strict type of data measurement in which the measurements or observations are grouped into distinct categories without a specific order or value structure. At this stage of measurement, variables are defined as categorical because the groups and categories can only be counted, which is usually done using frequencies and proportions.
The nominal level of measurement can take the form of either binary or multichotomous. Binary variables have only two groups, while multichotomous variables have more than two groups. Variables that are frequently used in this level of measurement include gender, race, or political affiliations.
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A group of 32 players forms 4 volleyball teams if there are 96 players how many teams can be formed
Answer:
12 teams
Step-by-step explanation:
We know that 38 players can fit into 4 groups, 8 times ...
32 divide 8 = 4
We have the number with 96, and we need to find the groups
we do the same as done with the first one...
because 32 divided by 8 is 4
we do
96 divide 8 = 12
aswell
hope this helped : )Answer:
12 teams
Step-by-step explanation:
If 32 players can form 4 volleyball teams, we can figure out that there are 8 players to a team. Since you have 96 players then you can divide 96 by 8 to find how many teams you would have: \(\frac{96}{8}\)=12 teams.
An adult has a total of about 21.4 square feet (ft2) of skin. Use the fact that 1 m is approximately equal to 3.281 feet to convert this measurement to square meters (m2).
Answer:
1.99m²
Step-by-step explanation:
From the above question
1 ft = 3.281 m
1 ft² = (3.281 m)²
Converting 21.4 ft² to m²
1 ft² = (3.281 m)²
21.4 ft² = xm²
x m² = 21.4 ft²/ (3.281 m)²
x m² = 1.9879310292 m²
Approximately :
21.4 ft² = 1.99m²
which number produces an irrational answer when added to 3/4
Answer
pi.
Step-by-step explanation:
If you add pi (3.14) to 3/4, you will get an irrational answer.
Name
Jamal
Matt
Greg
Miles
60
70
40
Hours
3
3. 5
2
Jamal rides his bike 60 miles in 3 hours, Matt rides his bike 70 miles
in 3¹/2 hours, and Greg rides his bike 40 miles in 2 hours. Who rides
his bike at the fastest rate?
All three riders have the same speed of 20 miles per hour. Therefore, they all ride their bikes at the same rate, and no one rides at a faster rate than the others.
To compare the rates at which Jamal, Matt, and Greg ride their bikes, we need to calculate their respective speeds (or rates of motion), which are given by the distance traveled divided by the time taken.
The speed of Jamal is:
speed = distance / time
speed = 60 miles / 3 hours
speed = 20 miles per hour
The speed of Matt is:
speed = distance / time
speed = 70 miles / (3 1/2 hours)
speed = 70 miles / (7/2 hours)
speed = 20 miles per hour
The speed of Greg is:
speed = distance / time
speed = 40 miles / 2 hours
speed = 20 miles per hour
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What is the volume of the rectangular prism - i ready. 1/3 ft some of. The answers 1 1/9 feet3- 10 ft3 - 2/9 ft3 - 3 1/3 ft3
Answer:
\(3\frac{1}{3}\ ft^3\)
Step-by-step explanation:
A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:
Volume = width * height * length
From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.
The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.
The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.
The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.
The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ = \(3\frac{1}{3}\ ft^3\)
Answer:
it is 3 1/3 good day
Step-by-step explanation:
Which measure of variability is most general, and hence least useful? a). Median b). Range c). s d). Median Deviation.
As range doesn't reveal anything about the distributive property of the data, it is the least helpful measure of variability because it is the most generic.
1. Sort the data either ascendingly or descendingly.
2. Determine how many items are in the data set.
3. The median is the number in the middle of the list if the number of items is odd.
4. The median is the average of the two middle numbers in the list if the number of items is even.
To figure out the range:
1. Sort the data either ascendingly or descendingly.
2. To determine the range, deduct the smallest number from the largest.
As range does not reveal anything about the distribution of the data, it is the least useful measure of variability because it is the most generic. Range does not indicate where the values fall within the range; rather, it measures the difference between the highest and lowest values in a data collection.
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Please help me ASAP!!!!!!!!!!!
Smallest 2-digit number: 23
3-digit number closest to 300: 276
Hope it helps you! ✺ ✺ ✺ ✺ ✺ ✺ ✺
\(ANSWERED:\\GraceRosalia\)
The graph shows the proportional relationship between the pounds of bananas purchased, x,
and the total cost, y.
4.20
3.60
1. What does the point (3, $1.80) represent?
The cost of pounds of bananas is
3.00
Total Cost ($)
8 2.40
1.80
1.20
2. What does the point (6, $3.60) represent?
The cost of pounds of bananas is
0.60
0
2
3
4
5
67
8
Weight of Bananas (lb.)
Answer:
1. The cost of 3 pounds of bananas is 1.80$
2. The cost of 6 pounds of bananas is 3.60$
Step-by-step explanation:
A school is interested in the average GPA of the sophomore class. They sample 75 of the 500 sophomores, for a mean GPA of 3.26 with a standard deviation of 0.62. Calculate the margin of error to the nearest hundredth.
calculated margin of error = 0.376
What is margin of error?
It is a statistical term that implies the amount of permissible error within the survey data. This error indicates the difference between statistical result and actual result.
margin of error can be determined by multiplying the critical value to the standard deviation.
How to calculate the margin of error?given, mean GPA of 75 sophomores = 3.26 = Xi
standard deviation = 0.62 = s
sample number = 75 = n
total sophomores = 500
z value of the sophomores = mean / standard deviation = 3.26 / 0.62
Z value = 5.26
margin of error = Z value × standard deviation / (√number of sample)
margin of error = 5.26 × 0.62/ √ (75)
= 0.376
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Please help me I will scream I need help please Its a math problem
Answer:
It is the second one , I'm pretty sure
Answer:
Factored form: \(2(x+4)(x-1)\)
vertex form: \(2(x+1.5)^{2} -12.5\)
Step-by-step explanation:
Factored form:
\(2(x+4)(x-1)=2(x^{2} +4x-x-8)=2(x^{2} +3x-4)=2x^{2} +6x-8\)
Vertex form:
\(2(x+1.5)^{2} -12.5=2(x^{2} +3x+2.25)-12.5\)
\(=2x^{2} +6x+4.5-12.5=2x^{2} +6x-8\)
Hope this helps
there are 5 black balls and 9 red balls in an urn. if 5 balls are drawn without replacement, what is the probability that exactly 3 black balls are drawn? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability of drawing exactly 3 black balls out of 5 is 0.2846, or approximately 0.2846 rounded to four decimal places.
To find the probability of drawing exactly 3 black balls out of 5, we need to use the binomial probability formula, which is:
P(X=k) = (n choose k) * p * (1-p)ⁿ⁻ᵏ
where P(X=k) is the probability of getting k successes, n is the number of trials, p is the probability of success, and (n choose k) is the number of ways to choose k items out of n.
In this case, n = 5, k = 3, p = 5/14 (the probability of drawing a black ball on the first draw is 5/14, and this probability decreases with each subsequent draw), and (n choose k) = 5 choose 3 = 10 (the number of ways to choose 3 black balls out of 5).
Plugging these values into the formula, we get:
P(X=3) = (5 choose 3) * (5/14)³ * (9/14)²
= 10 * 0.0752 * 0.3778
= 0.2846
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Find the square root
Answer:
Square root of 169 is 13.
Step-by-step explanation:
13*13=169
Find the maximum rate of change of the following function at the given point. f(x, y, z) = x² + 6xz+8yz²; (1, 2, -1)
The maximum rate of change of the function at the point (1, 2, -1) is approximately equal to the magnitude of the gradient vector, which is 31.62.
The maximum rate of change of the function f(x, y, z) = x² + 6xz+8yz² at the point (1, 2, -1) is 16.
To find the maximum rate of change, we need to calculate the gradient of the function at the given point and then find the magnitude of the gradient vector.
The gradient of the function f(x, y, z) is given by the vector
∇f(x, y, z) = (2x + 6z, 8y, 6x + 16yz).
To find the gradient at the point (1, 2, -1), we substitute x = 1, y = 2, and z = -1 into the expression for the gradient:
∇f(1, 2, -1) = (2(1) + 6(-1), 8(2), 6(1) + 16(2)(-1))= (-8, 16, -26)
The magnitude of the gradient vector is given by the formula
|∇f(x, y, z)| = √[(2x + 6z)² + (8y)² + (6x + 16yz)²].
To find the maximum rate of change of the function at (1, 2, -1), we substitute x = 1, y = 2, and z = -1 into the expression for the magnitude:
|∇f(1, 2, -1)| = √[(-8)² + 16² + (-26)²]= √[1000]≈ 31.62
Therefore, the maximum rate of change of the function at the point (1, 2, -1) is approximately equal to the magnitude of the gradient vector, which is 31.62.
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What is the image of E for a 120° counterclockwise rotation about the center of the regular hexagon?
Answer:
N
Step-by-step explanation:
Since this hexagon has six sides, and to end up back at E again we’d need to rotate 360°, this means for every side we cross it’s a 60° turn.
Therefore, \(60 \cdot 2 = 120\)° would be two sides.
Since we are moving counter-clockwise, the image for E would be to the left of it.
Two sides/points to the left of E is N, so the image of E for a 120° counterclockwise rotation around the center of this shape would be N.
Hope this helped!
find the area of quadrilateral which all side is 4 cm and diagonal one is 7 and diagonal two is 6
Step-by-step explanation:
Your answer...... 21 cm^2
WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER
Answer:
the quadrilateral is a rhombus as its all four sides are equal (of 4cm) each
Area of rhombus = 1/2 (digonal 1 × digonal 2)
= 1/2 ( 7×6 )
= 1/2 ( 42)
= 21
hence area of quadrilateral is 21 cm square
An electric frying pan was on sale for 20 percent off. The sale price was $36. What was the original price?
Answer: $45
Step-by-step explanation:
Let the original price be x.
Since there was a discount of 20%, it means the person bought the frying pan at (100% - 20%) = 80% of the original price. This can then be formed into an equation as:
80% × x = $36
0.8 × x = $36
0.8x = $36
x = $36/0.8
x = $45
The original price was $45
Travis, Devon, and Ramon have 17, 20, and 26 trading cards, respectively. Every minute, one of the three boys gives away two of his trading cards such that the other two boys get one trading card each. What is the shortest amount of time, in minutes, that it could take for the three boys to each have an equal number of trading cards?
We can start solving this problem by using the concept of greatest common divisor (GCD). The GCD of 17, 20, and 26 is 1, which means that the three numbers are relatively prime to each other. This means that there is no common divisor of the three numbers other than 1.
Since the trading cards are given away in pairs, we need to divide the GCD by 2, which gives us 0.5. This means that it would take half a minute for the three boys to each have an equal number of trading cards.
However, half a minute is not possible as time cannot be measured in fractions of a minute. Therefore, it is not possible for the three boys to have an equal number of trading cards in the shortest amount of time, because the numbers are relatively prime.
Answer: 5 minutes. ✅
PLEASEEEE GIVE BRANLIEST
which statement must be true about <1 and <2 for lines m and n to be parallel?
Answer:
the answer is C
Step-by-step explanation:
simplify the question 3x+6-2x+7
Answer:
5x+1
Step-by-step explanation:
3x+6-2x+7
+2. +2
5x+6+7
-6 -6
5x+1
Find the value of the missing angle. Round to the nearest degree.
1. 71 degrees
2. 19 degrees
3. 43 degrees
4. 90 degrees
Answer:
1. 71°
Step-by-step explanation:
SohCahToa
use sin
sin^-1(51/54)
=70.81186355
=71°
I need help with my Alg 2 work.
Help quickly if possible.
Thanks.
Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.
What are some examples of how exponential functions are employed in mathematics and in real life?Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.
Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.
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What is the percent
increase from 70 to 77?
Percentage change = 10%
We can use the formula:
Percent change = \(\frac{New-Old}{Old}\) x 100
Percent change = \(\frac{77-70}{70}\)x100
Percent change = \(\frac{7}{70}\) x 100
Percent change = 0.1 x 100
Percent change = 10%
Answer: 53.9
Step-by-step explanation:
let h(x) be an antiderivative of x3+sinxx2+2. if h(5) = π, then h(2) =
Since, h(x) be an antiderivative of x3+sinxx2+2. if h(5) = π, then,
h(2) = (1/4)(2)⁴ - (1/2)√π erf(2√π/2) + 2(2) + C
In order to find the value of h(2), we can use the given information that h(x) is an antiderivative of the function x³ + sin(x²) + 2 and that h(5) is equal to π. By evaluating h(5), we can determine a relationship between h(x) and x³ + sin(x²) + 2. Then, we can use this relationship to calculate h(2).
To evaluate h(5), we can substitute x = 5 into the expression x³ + sin(x^2) + 2 and integrate it. The antiderivative of x³ is (1/4)x⁴, and the antiderivative of sin(x²) is (-1/2)√π erf(x√π/2), where erf represents the error function. However, since h(x) is an antiderivative of x³ + sin(x²) + 2, the constant term is included as well. So, we have h(x) = (1/4)x^4 - (1/2)√π erf(x√π/2) + 2x + C, where C is the constant of integration.
Given that h(5) = π, we can substitute x = 5 and π into the equation above to obtain π = (1/4)(5)⁴ - (1/2)√π erf(5√π/2) + 2(5) + C. Simplifying the equation, we can solve for C.
Now that we have the value of C, we can determine h(2) by substituting x = 2 into the expression for h(x).
Thus, h(2) = (1/4)(2)⁴ - (1/2)√π erf(2√π/2) + 2(2) + C. Plugging in the known values and the calculated value of C, we can compute the numerical result for h(2).
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