Using the average rule, we can find out that the team made 13.6 yards in 4 plays.
Define average?Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's available numbers. By adding up all the data values and dividing them by the total number of data points, the average is calculated. To determine the average age of the students in a class, the ages of all the students are taken into account and an average is calculated. The word "average" is used in many different contexts in daily life. The average is computed and a single value is used to represent the values for quantities with fluctuating values.
Here in the question,
It is given as,
3.4 yards in every play.
So, in 4 plays the team will make:
3.4 x 4
= 13.6 yards.
Therefore, we can find out that the team made 13.6 yards in 4 plays.
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An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual incomes. The sample mean is computed to be $35,420.00. If the population standard deviation is $1,850.00, what is the standard error of the mean
The standard error of the mean is approximately $115.63.
The standard error of the mean (SEM) measures the variability or uncertainty in the sample mean compared to the true population mean. It indicates the average amount that the sample mean differs from the population mean.
To calculate the standard error of the mean, we use the formula:
SEM = σ / √n
Where:
SEM: Standard error of the mean
σ: Population standard deviation
n: Sample size
Given information:
Population standard deviation (σ) = $1,850.00
Sample size (n) = 256
Plugging in the values into the formula, we can calculate the standard error of the mean:
SEM = 1850 / √256
To simplify the calculation, let's first calculate the square root of 256:
√256 = 16
Now, we can divide the population standard deviation by the square root of the sample size:
SEM = 1850 / 16
Simplifying the fraction, we have:
SEM = 115.625
Therefore, the standard error of the mean is approximately $115.63.
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What is the smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24
The smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24 is 232792560.
With the elements 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, what is the smallest number?The smallest number that has all of the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 27720. This number is a product of the prime factors 2, 3, 5, 7, 11, 13, 17, 19. All of the factors can be written as a product of these prime factors, and multiplying them all together gives 27720. This is the smallest number that can be created with all of the given factors.The smallest number with the given factors is 2520. This number is the product of all the prime numbers from 1 to 10 (2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 = 2520). It is also the smallest number that can be divided evenly by all the numbers from 1 to 10. This number can also be evenly divided by 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20, so it is the smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24.The smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 2520. It is the smallest number that is evenly divisible by all of these numbers. To find it, the prime factorization of each of the numbers must be used. The prime factorization of each number is the product of the prime factors raised to the highest power.To learn more about the smallest number with the factors refer to:
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What is the value of 4² - 2(3·5+1)? plz help, will mark brainliest A. 8 B. 1 C. -16 D. -21
Answer:
Hey there!
4^2-2(3(5)+1)
16-2(15+1)
16-2(16)
-16
C is correct.
Let me know if this helps :)
Answer:
\( \boxed{ \mathsf{ \boxed{ \purple{ \bold{{ - 16}}}}}}\)Step-by-step explanation:
\( \mathsf{ {4}^{2} - 2(3 \times 5 + 1)}\)
Evaluate the power
⇒\( \mathsf{16 - 2(3 \times 5 + 1)}\)
Multiply the numbers
⇒\( \mathsf{16 - 2(15 + 1)}\)
Calculate the sum
⇒\( \mathsf{16 - 2 \times 16}\)
Multiply the numbers
⇒\( \mathsf{16 - 32}\)
Calculate
⇒\( \mathsf{ - 16}\)
Hope I helped!
Best regards!
Find the area of the rectangle ABCD with vertices A(-4, 4), B(1, 4), C(-4, 1) and D(1,1).
The area of the rectangle ABCD is approximately 29.15 square units.
To find the area of the rectangle ABCD, we can use the formula for the area of a rectangle, which is given by the product of its length and width.
Let's first find the length and width of the rectangle using the coordinates of its vertices.
Length AB = distance between points A and B
= √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(1 - (-4))² + (4 - 4)²]
= √[5² + 0²]
= √25
= 5
Width BC = distance between points B and C
= √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-4 - 1)² + (1 - 4)²]
= √[(-5)² + (-3)²]
= √[25 + 9]
= √34
Now that we have the length and width, we can calculate the area of the rectangle.
Area = Length × Width
= 5 × √34
≈ 5 × 5.83
≈ 29.15 square units
Therefore, the area of the rectangle ABCD is approximately 29.15 square units.
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How do you multiply fractions in Grade 7?.
To multiply fractions:
First multiply the numerator with numerator, then multiply the denominator with the denominator. Lastly, simplify the resultant fraction, if required.
We know that the fraction is used to represent the portion or part of the whole thing.
The fraction has two parts: numerator and denominator.
The top part of fraction is numerator and the bottom part of fraction is denominator.
consider a fraction 1/8.
Here, numerator is 1, denominator is 8
When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8
The multiplication of fractions is defined as the product of a fraction with a fraction or the product of a fraction with an integer or the product of a fraction with the variables.
The steps to multiply two fraction are:
1) First multiply the numerator with numerator
2) Then Multiply the denominator with the denominator
3) And lastly simplify the fractions, if required
In case of product of mixed fractions (a fraction which is a combination of a natural number and fraction),
First we change each mixed fraction to an improper fraction. Then multiply the fraction as mentioned above.
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H E L P- A G A I N (im dum ok? also no scam answers please.)
Answer:
a.Equation :y=40-2.5x
b.straight, decreases, the same
Step-by-step explanation:
HELP QUICK I GOT LIKE 10 MINUTES
Six groups of students sell 162 balloons at the school carnival. There are 3 students in each group. If each student sells the same number of balloons,how many balloons does each student sell?
Answer:
6 x 3= 18
162/18=9
Each student sells 9 balloons.
Step-by-step explanation:
Answer:
9 balloons sold per student
Step-by-step explanation:
6 total groups 3 per group
6*3=18
18 students selling balloons
162/18=9
9 balloons sold per student
Charlotte the turtle was born with 4 squares on her shell,
as in the first picture below. When she was 1 year old, 12
new squares appeared around the old squares, as in the
second picture below. Each year, a new group of squares
appeared around the old squares.
Answer:
2-20 3-28
Step-by-step explanation:
0-4
1-12
2-20
3-28
When age is 2 then the new squares appeared = 20
When age is 3 then the new squares appeared = 28
What is pattern?"It is a repeated arrangement of numbers, shapes, colors and so on. "
For given question,
Charlotte the turtle was born with 4 squares on her shell, as in the first picture below.
When she was 1 year old, 12 new squares appeared around the old squares, as in the second picture below.
Each year, a new group of squares appeared around the old squares.
We find the same pattern to find the new squares appeared when she is 2 and 3 years old.
When she is 2 years old then the new squares appeared around the old squares, as shown below.
There are 20 new squares appeared around the old squares.
When she is 3 years old then the new squares appeared around the old squares, as shown below.
There are 28 new squares appeared around the old squares.
Therefore, when age is 2 then the new squares appeared = 20
when age is 3 then the new squares appeared = 28
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solve each system by substitution
y=-2x + 7
y = 3x - 13
Answer:
y = -1, x =4
Step-by-step explanation:
3x-`13=-2x+7
x = 4
y=3(4)-13
y = -1
In a normal distribution, _ percentage of the area under the curve is within one standard deviation of the mean. a. 68% b. 100% c. 95% d. It depends on the values of the mean and standard deviation
The correct answer is .a. 68%
In a normal distribution, approximately 68% of the area under the curve falls within one standard deviation of the mean. This is known as the empirical rule or the 68-95-99.7 rule. Specifically, about 34% of the area lies within one standard deviation below the mean, and about 34% lies within one standard deviation above the mean. Therefore, the total area within one standard deviation is approximately 68% of the total area under the curve.
Option b (100%) is incorrect because the entire area under the curve is not within one standard deviation. Option c (95%) is incorrect because 95% of the area under the curve falls within two standard deviations, not just within one standard deviation. Option d (It depends on the values of the mean and standard deviation) is also incorrect because the percentage within one standard deviation is approximately 68% regardless of the specific values of the mean and standard deviation, as long as the distribution is approximately normal.
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ABCD is a kite. Solve for x.
Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
Answer:
6
Step-by-step explanation:
An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:
32 x 1 = 32
2 x 16 = 32
4 x 8 = 32
8 x 4 = 32
16 x 2 = 32
1 x 32 = 32
There are 6 ways for Evan to create a array of 32 miniature cars.
~
WILL MARK BRAINLIEST PLS HELP DUE TODAY
A six-sided number cube is rolled 300 times. Predict how many times you would expect to roll a 4.
40
50
60
100
Answer:
50
Step-by-step explanation:
probability to get on 4 = 1/6
1/6 x 300 = 50
Answer:
50 times
Step-by-step explanation: you divide 300 divide by 6=50, you got a 1/6/ 300
Determine which expressions are equivalent to 0.87 – 4.5 – [5.8 + (-7.8)]. (Choose 2.)
The original expression is equivalent to -1.63.
What is an expression?
In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, ×, ÷, and parentheses) that represents a mathematical quantity or relationship. Expressions are simple or complex, and they can involve one or more variables.
We can simplify the expression 0.87 – 4.5 – [5.8 + (-7.8)] by following the order of operations (PEMDAS) and performing the operations inside the brackets first:
0.87 - 4.5 - [5.8 + (-7.8)] = 0.87 - 4.5 - [-2.0]
Next, we can simplify the expression inside the second set of brackets by multiplying -1 by each term inside:
0.87 - 4.5 - [-2.0] = 0.87 - 4.5 + 2.0
Finally, we can combine like terms by adding -4.5 and 2.0:
0.87 - 4.5 + 2.0 = -1.63
Therefore, the original expression is equivalent to -1.63.
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What is the value of n?
2.7 x 10 = (1 x 10^2) (2.7x10^n
The value of n is
Answer:
use the app gauth-math. (the value of n is 3.)!!!!!!!!!!
Step-by-step explanation: it works for these and other equations!
What value of c makes the equation true? Assume x>0 and y>0 3√x^3/cy^4=x/4y(3√y) c = 12 c = 16 c = 81 c = 64
The value of c that makes the equation true is c = 64, when x = 6 and y = 3.
To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.
First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:
x√x/cy^4 = x/4y(y√y)
Next, we can simplify x/4y to 1/(4√y), giving us:
x√x/cy^4 = 1/(4√y)(y√y)
We can cancel out the common factor of √y on both sides:
x√x/cy^4 = 1/(4)
Multiplying both sides by 4cy^4 gives us:
4x√x = cy^4
Now we can solve for c by isolating it on one side of the equation:
c = 4x√x/y^4
We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:
c = 4x√x/y^4 = 4(x^(3/2))/y^4
c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3
c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3
c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3
c = 4(216)/81 = 64 for x = 6 and y = 3
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describe (x-bar) in words, in the context of the problem. state the distribution of (x-bar), including the expected value and standard error
(x-bar) refers to the sample means in statistics. It is the average of all the data values in a sample. It is calculated by dividing the sum of all the data values by the sample size.
The distribution of (x-bar) follows a normal distribution, and its expected value is equal to the population mean. The standard error of (x-bar) is calculated by dividing the population standard deviation by the square root of the sample size. It is used to estimate how much the sample mean varies from the population mean.
Sample mean (x-bar) is a statistical concept used to calculate the average of a sample, and standard error is a measure of the variability of the sample mean. The distribution of the sample mean is a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
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Amy deposits $20,000 into an account that pays 6% interest per year, compounded annually. Bill deposits $20,000 into an account that also pays 6% per year. but it is simple interest. find the interest Amy and Bill earn during each of the first years, then decide who earns more interest for the year. assume there are no withdraws and no additional deposits
Answer:
Yeah, math math wu wu
Step-by-step explanation:
Pls help and Find the length
The question is wrong because as the given angle is 90, the hypotenuse(11cm) should be greater than 16cm
Answer:
cant solve
Step-by-step explanation:
(sorry im not good at english) because there is no right triagle in which the length of the side of the right angle is greater than the length of the hypotenuse.
What is the difference? startfraction x over x squared minus 16 endfraction minus startfraction 3 over x minus 4 endfraction startfraction 2 (x 6) over (x 4) (x minus 4) endfraction startfraction negative 2 (x 6) over (x 4) (x minus 4) endfraction startfraction x minus 3 over (x 5) (x minus 4) endfraction startfraction negative 2 (x minus 6) over (x 4) (x minus 4) endfraction
The difference of the fractions as given in the task content is; (4-2x) / (x²-16).
What is the difference of the two fractions?According to the task content, the fractions whose difference is to be evaluated are as indicated below;
\( \frac{x}{( {x}^{2 } - 16)} - \frac{3}{x - 4} \)
Hence, the LCM of the denominators of both fractions can be evaluated as;
x -3(x+4)/(x²-16).
(4-2x) / (x²-16)
Hence, the difference of the two fractions is; (4-2x) / (x²-16).
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In the diagram, the measure of angle 3 is 105°. Which angle must also measure 105°? Angle1 Angle4 Angle6 Angle8
Answer:
<1option A is the right option.
Here,
<3=105°
<1=<3(being vertically opposite angles)
<1=105°
Explanation:
Please see the attached picture.
There,
<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.
Hope this helps..
Good luck on your assignment...
Answer:
1
Step-by-step explanation:
if amir joins indian army, he is courageous.
convert this into contrapositive statement
If Amir is not courageous, then he will not join the indian army.
(1 point) How many different 9-letter permutations can be formed from 7 identical H's and two identical T's
The total number of different 9-letter permutations which can be formed from 7 identical H's and 2 identical T's are 36,288.
In order to find the number of different 9-letter permutations which can be formed from 7 identical H's and 2 identical T's, we need to apply the formula for permutations with repetition, which is given as
P(n1, n2, ..., nk) = n!/(n1!n2!...nk!), where n1, n2, ..., nk are the number of times
each of the k distinct objects are repeated.
Here, we have n = 9, n1 = 7 and n2 = 2, since we have 7 H's and 2 T's. Substituting these values in the formula, we get:
P(7, 2) = 9!/(7!2!) = 36,288
Therefore, there are 36,288 different 9-letter permutations that can be formed from 7 identical H's and 2 identical T's.
:Thus, the total number of different 9-letter permutations which can be formed from 7 identical H's and 2 identical T's are 36,288.
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Please Help me immediately. this is due at 11:59pm
Priya bought these items at the grocery store. Find each unit price.
10 apples for $3.50. How much is the cost per apple?
Answer for prompt 1 10 apples for $3.50. How much is the cost per apple?
12 eggs for $3. How much is the cost per egg?
Answer for prompt 2 12 eggs for $3. How much is the cost per egg?
3 pounds of peanuts for $7.50. How much is the cost per pound?
Answer for prompt 3 3 pounds of peanuts for $7.50. How much is the cost per pound?
4 rolls of toilet paper for $2. How much is the cost per roll?
Answer for prompt 4 4 rolls of toilet paper for $2. How much is the cost per roll?
Angela recorded the price of different weights of several bulk grains. She made a scatter plot of her data. Draw a trend line for the scatter plot
Can someone help me with these
Answer:
Problem 2) : the gradient is "-2", and the y-intercept is "3"
Problem 3)
A is \(y=2x+2\)
B is \(y=x+2\)
Step-by-step explanation:
Problem 2)
In the line given by the equation: \(y=-2x+3\)
the "gradient" (also known as "slope") is the numerical coefficient that multiplies the variable "x". So in this case the gradient is "-2"
the y-intercept is the numerical term "+3" because that is the y-value result of evaluating the expression for x = 0
\(y=-2x+3\\y=-2\,(0)+3\\y=3\)
Problem 3)
Consider the two lines :
\(y=x+2\) and \(y=2x+2\)
notice that both have the same y-intercept (that is the numerical term "2" at the end of both expressions. That means that both lines cross the y-axis at the point y=2.
Now notice that the gradient of one of them is "1" (for \(y=x+2\) ) that is the coefficient that multiplies the variable "x". While for the other line ( \(y=2x+2\)) the gradient is "2" and therefore steeper than the previous one.
Then, the line identified as "A" which is the one with steeper gradient, corresponds to the equation \(y=2x+2\), and the line identified with "B" is the one with smaller gradient \(y=x+2\) .
The cost for a pair of jeans to the store is $5.50. The markup percent is 75%. What is the selling price?
Answer:
$9.63
Step-by-step explanation:
100 + 75 = 175
5.50/100 X 175 = 9.625
monetary unit round to 2dp
9.63
3. Disney on Ice is traveling to Chicago to perform. The revenue from their ticketsales is a function of the ticket price, x, and can be modeled with (x - 3)(450 – 3x).What are the ticket prices at which Disney on Ice would make no money at all?Type Here:Explain or show your reasoning.Type Here:
They would not earn money when the function is equal or less to 0
then we equal 0
\((x-3)(450-3x)\leq0\text{ }\)we will have two answers when clear x
\(\begin{gathered} (x_1-3)\leq0 \\ x_1\leq3 \\ (450-3x_2)\text{ }\leq\text{0} \\ 450\leq3x_2 \\ x_2\ge\frac{450}{3} \\ x_2\ge150 \end{gathered}\)they won't make money when the ticket price is equal or less than 3 or when the ticket price is equal or greater than 150
the correct expression for not making money is :
\((-\infty,3\rbrack\text{ }\lbrack150,\infty)\)29% of a university's freshman class are majoring in Economics. If 2668 students in
the freshman class are Economics majors, how many students are in the freshman
class?
The number of students in the class is 9200.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Given that,
The percent of students pursuing economics is 29%.
And, the number of students pursuing economics is 2688.
Suppose the total number of students are x.
Then, the following equation can be written for the given case,
29% of x = 2668
=> 29/100 × x = 2668
=> x = 2668 × 100/29
= 9200
Hence, the total number of students in the freshman class is 9200.
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a heated election is coming up where people will select the all-time favorite cartoon. we take a poll before the election to see how the race is shaping up. according to this poll, 34% of the people say they will vote for bugs bunny and 26% say they will vote for baby shark. the poll has an error of /- 5%. based on this result, can one say that in the population, more people clearly support bugs bunny over baby shark? group of answer choices yes, as the confidence intervals for the two groups do not overlap no, as the confidence intervals for the two groups overlap yes, as the percentage of people supporting bugs bunny in the poll was higher. no, as the percentage of people supporting baby shark was lower.
The confidence intervals for Bugs Bunny and Baby Shark are [32.3%, 35.7%] and [24.7%, 27.3%] respectively, with a margin of error of 5%. Since these intervals overlap, one cannot say with certainty that more people clearly support Bugs Bunny over Baby Shark in the population based on the poll results. Further research or a larger sample size would be needed to determine the true support for each candidate.
In a heated election, people will vote for their all-time favorite cartoon. Before the election, a poll was taken to see the results and it showed that 34% of the people said they will vote for Bugs Bunny, and 26% said they will vote for Baby Shark. The poll had an error of +/- 5%. Based on this result, one cannot say that in the population, more people clearly support Bugs Bunny over Baby Shark, as the confidence intervals for the two groups overlap.
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