The shoe size for all the pairs of shoes in a persons closet are recorded.


7 7 7 7 7 7 7 7 7 7


What is the mean? ______

What is the standard deviation? ______


Marking brainliest to the first correct answer! Thank you :)

Answer:

A. 3t = 24

Step-by-step explanation:

$24 is the total amount spent.

$3 is the price per ticket.

so to get the number of tickets, t, you need the equation 3t = 24.

Answer:

Options A

Step-by-step explanation:

so here's what i did

1 ticket = $3

t tickets= $24

so you cross multiply , you get 3t = 24

\(\text {Hello! Your answer would be}\)

\(\fbox { 3.5 and -3.5}\)

\(\text {Since we are finding the absolute value of 3.5 we find the opposite of 3.5}\)

\(\text {Note: Finding an absolute value of a positive number will always equal a positive.}\)

\(\text {-3.5 will equal to 3.5 since it's the opposite of 3.5}\)

\(\text {You are also finding the opposite of 3.5}\)

\(\text {3.5 will also equal to 3.5 because it's already a positive number so your not doing the opposite.}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

5 bags of candy

Step-by-step explanation:

60/12= 5

Since there are 12 pieces of candy in each bag, 12*5= 60, so each kid can have 1 piece of candy.

Answer:

5<b

Step-by-step explanation:

Answer: The answer is b !

Image attached should help

The line of best fit is:

y = 3.1x + 12.9

Option A is the correct answer.

We have,

The line of best fit can be expressed in the form of y = ax + b,

where a is the slope of the line and b is the y-intercept.

From the given LinReg results, we have:

a = 3.1

b = 12.9

Substituting a and b in the equation y = ax + b we get,

The line of best fit is:

y = 3.1x + 12.9

Thus,

The line of best fit is:

y = 3.1x + 12.9

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The probability of choosing 2 even numbers is 1/6

The probability of choosing 2 odd numbers less than 6 is 1/12

The probability of choosing 2 numbers greater than 6 is 1/36

We have,

The probability that both numbers are even numbers if the same numbers cannot be chosen twice:

There are 4 even numbers (2, 4, 6, 8) and 9 total numbers.

The first number can be any of the 9 numbers, but once it is chosen, only 4 even numbers remain for the second number.

So,

The probability of choosing 2 even numbers.

P(even, even) = (4/9) x (3/8) = 1/6

The probability that both numbers are less than 7 if the same number can be chosen twice:

There are 6 numbers less than 7 (1, 2, 3, 4, 5, 6) and 9 total numbers.

Each number can be chosen twice, so there are 99 = 81 possible pairs of numbers.

The number of pairs of numbers less than 7 is 66 = 36.

The probability of choosing 2 numbers less than 7.

P(<7, <7) = 36/81 = 4/9

The probability that both numbers are odd numbers is less than 6 if the same numbers cannot be chosen twice:

There are 3 odd numbers less than 6 (1, 3, 5) and 9 total numbers.

The first number can be any of the 9 numbers, but once it is chosen, only 3 odd numbers less than 6 remain for the second number.

The probability of choosing 2 odd numbers less than 6.

P(odd, odd) = (3/9) x (2/8) = 1/12

The probability that both numbers are greater than 6 if the same numbers cannot be chosen twice:

There are only 2 numbers greater than 6 (7, 8) and 9 total numbers.

The first number can be any of the 9 numbers, but once it is chosen, only 2 numbers greater than 6 remain for the second number.

The probability of choosing 2 numbers greater than 6.

P(>6, >6) = (2/9) x (1/8) = 1/36

Thus,

The probability of choosing 2 even numbers is 1/6

The probability of choosing 2 odd numbers less than 6 is 1/12

The probability of choosing 2 numbers greater than 6 is 1/36

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Answer:

The tank decreased from 10cm to 7 cm so the tank had lost its 3cm of the water. 3cm was the 30% of lost from water. So there was a 30% decrease from water tank.

Answer:

2144

formula us v = 3/4 × pi × half of the diameter (radius)

9514 1404 393

Answer:

  A, D, E

Step-by-step explanation:

Assuming your graph is of the equation ...

  y = 3/4x -1

The slope is 3/4. The line intersects (0, -1). The y-intercept is -1.

  A, D, E are true

In the triangle the value οf x is D) 27.

A triangle is a fοrm οf pοlygοn with three sides; the intersectiοn οf the twο lοngest sides is knοwn as the triangle's vertex. There is an angle created between twο sides. One οf the crucial elements οf geοmetry is this.

Certain fundamental ideas, including the Pythagοrean theοrem and trigοnοmetry, rely οn the characteristics οf triangles. The angles and sides οf a triangle determine its kind.

Here in the given triangle, using ratiο then

=> \(\frac{x+8}{10}=\frac{2x-5}{14}\)

=> \(14\times(x+8)=10(2x-5)\)

=> 14x+112=20x-50

=> 20x-14x=112+50

=> 6x = 162

=> x =\(\frac{162}{6}\)

=> x = 27

Hence the cοrrect οption is D)27.

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Formula. Binomial theorem:

\((x + y)^ n = C(n,0) x^{ny}^{0} + C(n,1)x^{(n-1)} \ \ y + C(n,2)x^{(n-2)} \ y^2 + ...+ C(n,n+1)xy^{(n-1)} + C(n,n)x^{0y}^n\)

So, for n = 5:

\((x + 2)^5 = C(5,0)x^5 + C(5,1)x^4 \ . \ 2 + C(5,2) x^3 \ . \ 2^2 + C(5,3)x^2 \ . \ 2^3 + C(5,4)x \ . \ 2^4 + C(5,5) \ . \ 2^5\)

So, the third term is \(\bold{C(5,2)x^3 2^2}\)

Answer:

Step-by-step explanation:

To find the least cost allocation of tasks between four people, we need to determine the assignment that results in the minimum total cost. From the given information, we can allocate tasks by assigning a number to each person for each task.

Let's denote the people as A, B, C, and D, and the tasks as 1, 2, 3, and 4. The costs for each assignment are given in the table below:

Task 1 Task 2 Task 3 Task 4

Person A 4 3 5 2

Person B 2 4 3 1

Person C 3 1 2 5

Person D 1 2 4 3

To find the least cost allocation, we need to select one task for each person such that the sum of the costs is minimized.

Based on the table, the least cost allocation would be as follows:

Person A - Task 2 (cost: 3)

Person B - Task 4 (cost: 1)

Person C - Task 3 (cost: 2)

Person D - Task 1 (cost: 1)

The total cost for this allocation is 3 + 1 + 2 + 1 = 7.

Therefore, the least cost allocation of tasks between the four people would be:

a. Person A - Task 2

b. Person B - Task 4

c. Person C - Task 3

d. Person D - Task 1

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When flipping a coin, there are two possible outcomes: heads or tails. When a coin is flipped twice, the sample space for this compound event includes all possible outcomes that can occur.

The sample space is a set of all possible outcomes for an experiment. It can be expressed using set notation. In this case, we can represent the possible outcomes using the terms H and T:HH, HT, TH, and TT. So, the answer is a. HH, HT, TH, TT.Let's take a look at each of these outcomes:1. HH (heads on both flips)2. HT (heads on the first flip and tails on the second)3. TH (tails on the first flip and heads on the second)4. TT (tails on both flips)Therefore, there are four possible outcomes in the sample space of flipping a coin twice.

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The equations that are true for x = -2 and x = 2 are x^2 - 4 = 0 and 2(x - 2)^2 = 0.

For x = -2, the equation x^2 - 4 = 0 becomes (-2)^2 - 4 = 0, which simplifies to 4 - 4 = 0, and therefore this equation is true when x = -2.

Similarly, for x = 2, the equation 2(x - 2)^2 = 0 becomes 2((2 - 2)^2) = 0, which simplifies to 2(0)^2 = 0, and therefore this equation is also true when x = 2.

The other equations, x^2 = -4, 3x^2 + 12 = 0, and 4x^2 = 16, are not true for x = -2 or x = 2. For example, for x = -2, the equation 3x^2 + 12 = 0 becomes 3(-2)^2 + 12 = 0, which simplifies to -24 + 12 = -12, and therefore this equation is not true when x = -2. Similarly, for x = 2, the equation 4x^2 = 16 becomes 4(2)^2 = 16, which simplifies to 16 = 16, and therefore this equation is true when x = 2. However, since the problem asks for equations that are true for both x = -2 and x = 2, the equation 4x^2 = 16 is not a correct answer because it is only true when x = 2.

The value of the shaded area is approximately 34.907 square centimeters.

According to the description in statement we prepared a representation of the figure in the image attached below. The shaded area is equal to the area of the circle sector (\(A\)), in square centimeters:

\(A = \frac{\theta\cdot \pi \cdot R^{2}}{360}\) (1)

Where:

If we know that \(\theta = 40^{\circ}\) and \(R = 10\,cm\), then the area of the circle is:

\(A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}\)

\(A\approx 34.907\,cm^{2}\)

The value of the shaded area is approximately 34.907 square centimeters. \(\blacksquare\)

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The amount that each of the 20 students paid is $4.685

We know that there are 20 students, and they paid:

15*$2.4 in the sodas, this is: 15*$2.4 = $31.5

8*$4.8 in the snacks, this is 8*$4.8 = $38.4

And $23.8 in other things for decorating.

Then the total amount they spent is:

T = $31.5 + $38.4 + $23.8 = $93.70

We can divide that evenly by the number of students, then the amount that each of the students paid is:

p = $93.70/20 = $4.685

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To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X_0 = [0.1 0.2 0.7]

To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:

X_1 = P * X_0

To calculate X_2, we multiply P with X_1:

X_2 = P * X_1

Similarly, to calculate X_3, we multiply P with X_2:

X_3 = P * X_2

Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.

Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.

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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X₀ = [0.1

0.2

0.7]

To find X₁, we multiply P with X₀:

X₁ = P * X₀

To find X₂, we multiply P with X₁:

X₂ = P * X₁ = P * (P * X₀)

To find X₃, we multiply P with X₂:

X₃ = P * X₂ = P * (P * (P * X₀))

Performing the matrix multiplications, we get:

X₁ = [0.6 0.2 0.1] * [0.1

0.2

0.7] = [0.06 + 0.04 + 0.07

0.03 + 0.14 + 0.07

0.01 + 0.02 + 0.56]

X₁ = [0.17

0.24

0.59]

X₂ = [0.6 0.2 0.1] * [0.17

0.24

0.59] = [0.048 + 0.048 + 0.059

0.023 + 0.168 + 0.059

0.007 + 0.048 + 0.472]

X₂ = [0.155

0.25

0.527]

X₃ = [0.6 0.2 0.1] * [0.155

0.25

0.527] = [0.042 + 0.031 + 0.053

0.021 + 0.175 + 0.053

0.006 + 0.05 + 0.422]

X₃ = [0.126

0.249

0.478]

Therefore, the state matrices are:

X₁ = [0.17

0.24

0.59]

X₂ = [0.155

0.25

0.527]

X₃ = [0.126

0.249

0.478]

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Answer:

B is the answer.

Step-by-step explanation:

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Triangles cannot have two 90 degrees because that would add up to 180 and triangles need 3 angles to add to 180

You can't have an obtuse angle and a right angle. say the obtuse angle was 110, and a right angle is 90. 110 + 90 is more than 180.

Two obtuse angles would be more than 180.

This leaves us with B being correct, because you can have an obtuse angle and an acute angle, and it can be less than 180 degrees.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

The relative frequency in the class interval with 15 observations is 0.20 or 20%.

The correct answers are: Measurements from a sample are called: statistics. The relative frequency in the class interval with 15 observations is: 0.20.

Statistics are measurements or data collected from a sample of a larger population. They are used to make inferences about the population.

To find the relative frequency of a class interval, you divide the frequency of that interval by the total number of observations. In this case, the relative frequency is:

relative frequency = frequency of interval / total number of observations

relative frequency = 15 / 75

relative frequency = 0.20

Therefore, the relative frequency in the class interval with 15 observations is 0.20 or 20%.

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I think the answer is - 1. I'm not sure

The value of x is 7

To determine the value, we have that;

m<BC = 2 < BDC

Then, we have;

<BDC = 1/2(2x + 16)

<BDC = x + 8

Also, we have that;

m<ED = 2 < ECD

m<ECD = 1/2 (7x - 9) = 3.5x - 4.5

Bute, we have that;

<<BDC + <ECD + < DAC = 180; sum of angles in a triangle

substitute the values

x + 8 + 3.5x - 4.5 + 145 = 180

collect the like terms

4.5x = 31.5

Divide both sides by 4.5

x = 7

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Answer:

y = 3x+6

Step-by-step explanation:

refer to the picture

Answer:

y = 3x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, so slope of parallel line is 3

Expressing the equation in point- slope form with m = 3 , (x₁, y₁ ) = (1, 9)

y - 9 = 3(x - 1)

y - 9 = 3x - 3 ( add 9 to both sides )

y = 3x + 6 ← in slope- intercept form

The number that Bethany thinks of is 104, and 1/13 of that number is 8.

Word problems in mathematics involve arithmetic operations and the use of variables to solve those problems. Word problems are problems we encounter in our daily life and with the use of correct mathematical interpretation, we can provide accurate solutions to them.

Let the number that  Bethany thinks of be (x) for example. So, 6/13 of x is equal to 48.

i.e.

(6/13) * (x) = 48

By dividing both sides with (6/13), we have:

x = 48 ÷ (6/13)

x = 48 × (13/6)

x = 8 × 13

x = 104

Thus, 6/13 of the number that Bethany thinks of that gives us 48 is 104. Now, to find 1/13 of 104, we have:

1/13 × 104

= 8

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100 bushels is equivalent to approximately 1,415.85 liters in the International System of Units (SI).

To convert 100 bushels to SI units, we need to calculate the total volume in liters.

First, we determine the volume of one bushel by multiplying the number of pecks in a bushel, which is 4, by the volume of one peck, which is approximately 8.8 liters.

Thus, one bushel is equal to 35.2 liters (4 pecks x 8.8 liters/peck).

Next, we multiply the volume of one bushel (35.2 liters) by the number of bushels we want to convert, which is 100. This gives us 3,520 liters (35.2 liters/bushel x 100 bushels).

Therefore, 100 bushels is equivalent to approximately 3,520 liters in SI units.

In conclusion, 100 bushels can be converted to approximately 1,415.85 liters in SI units.

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The sales tax rate for a specific type of wood-frame door priced at $1480 is 25%, or $370.

Percentages are just fractions with a denominator of 100. We use the percent sign (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%. A percentage is a relative value that represents one hundredth of a quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given quantity. A percentage is a fraction of a whole expressed as a number between 0 and 100.

Here,

Sale tax=$370

Price of door=$1480

Sales tax percent=370/1480*100

=25%

The rate of sales tax for a particular type of wood-frame door is priced at $1480 is 25% that is $370.

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Answer:

4 years

Step-by-step explanation:

Note that:

1 foot = 12 inches

1 2/3 feet = x inches

We cross multiply

1 foot × x inches = 1 2/3 feet × 12 inches

x inches = 1 2/3 feet × 12 inches/1 foot

x inches = 5/3 × 12 inches

x inches = 20 inches

A tree grows 5 inches each year. How many years will it take for the tree to be 1 2/3 feet tall = 20 inches

This is calculated as

5 inches = 1 year

20 inches = x year

Cross Multiply

5x = 20 inches × 1 year

x = 20/5

x = 4 years

It would take the tree 4 years to be 1 2/3 feet tall

Answer:

10 or 10/1

Step-by-step explanation:

1/1000 * 10= 0.01 = 1/100

The explicit rule in simplified form that can be used to find the number of homes sold in the nth month of the year is H(n) = 6(n - 1) + 12.

A list of numbers that adhere to a pattern or rule is referred to in mathematics as a sequence. Every number in the sequence is referred to as a term, and its location within the sequence is referred to as its index. As an illustration, the numbers 1, 3, 5, 7, 9,... are an example of an odd number sequence. Each word is two more than the one before it, which is the pattern of the sequence. Sequences might have an unlimited number of terms or a finite number of terms (having an infinite number of terms). Mathematical sequences come in a variety of shapes and sizes, including arithmetic, geometric, and Fibonacci sequences.

The pattern shows that the number of homes sold is increasing by 6 each month.

Thus, the explicit rule is given as:

H(n) = 6(n - 1) + 12

Hence, the explicit rule in simplified form that can be used to find the number of homes sold in the nth month of the year is H(n) = 6(n - 1) + 12.

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The coordinates of the fourth point are given as follows:

(-2, 3).

The rule for a reflection over the x-axis is given as follows:

(x,y) -> (x, -y).

Meaning that the x-coordinate remains constant, while the y-coordinate has the signal exchanged.

Points D, C, C' and a fourth point become the vertices of a rectangle, hence the fourth vertex is:

D'.

Vertex D has the coordinates given as follows:

D(-2,-3).

Hence the coordinates of vertex D' are given as follows:

(-2,3).

(keep x-coordinate constant, exchange the sign of the y-coordinate).

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