An inequality is shown.
12+x≤5+3x
Select the statement(s) and number line(s) that can represent the inequality. Click all that apply.

After solving, the test statistic value of z is -2.65.

In the given question,

Sample Mean x=264.4

Population standard deviation σ=20

sample size (n) = 25

significance level α=0.05

To test  Jean's claim that Jack's driving distance is less than 275 yards

The null and alternative hypothesis are

H(0): μ=275

H(α): μ<275

Test Statistic Z is:

Z = (x-μ)/(σ/√n)

Z = (264.4-275)/(20/√25)

Z = -10.6/(20/5)

Z = -10.6/4

Z = -2.65

Hence, the test statistic value of z is -2.65.

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The right question is:

Jack tells Jean that his average drive of a golf ball is 275 yards. Jean is skeptical, she thinks he has overstated is driving distance and asks for substantiation. So Jack takes a random sample of 25 of his drives. The mean of this sample is 264.4 yards. His driving distance is known to be normally distributed with a population standard deviation of 20 yards. Test Jean's claim that Jack's driving distance is less than 275 yards at a 0.05 significance level. Calculate the test statistic to 2 decimal places.

Answer: ≈ 18.91 cm

Step-by-step explanation:

r²= 114 ÷ pi/3.14 = 5700/157

r = √r²

≈ 6.025

Circumference = r × pi/3.14

≈ 18,91 cm

The average of 17 multiple of 7 is 63 average is computed by adding a set of numbers and then dividing by the total number of those numbers.

By dividing the total number of values by the total number of numbers, the average can be computed. A mean is the mathematical average of a set of two or more data items. Common names for average include mean and mathematical mean. The term "mean" simply represents the average of the sample.

The average of a list of data represents the fundamental value of a group of data mathematically. The ratio of the total number of data points to the total number of units in the list is how it is technically defined. In statistics, the term "mean" also denotes the average of a certain set of numerical data.

To calculate average=

7+14+21+28+35+42+49+56+63+70+77+84+91+98+105+112+119/17

= 1071/17

=63

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The amount owed at the end of the 6 years duration is $10865

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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The required answer is True.

What are Graphing Systems of Linear Equations?

There exists an endless number of valid solutions for both equations if the graphs of the equations are identical.

For the given graph,

The equations are simply multiples or rearrangements of one another if graph lines meet. Every set of numbers that satisfies one of the equations also satisfies the other.

Hence, the system of the linear equation on the below graph represents infinitely many solutions and it is True.

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Size of sample needed to determine the percentage of people with give margin of error is equal to 1691.

As given in the question,

Margin of error = 2%

                          = 0.02

Sample proportion 'p' = 0.5

⇒ (1 - p) = 1 - 0.5

             = 0.5

Let 'n' represents the sample size

Z- value at confidence interval 90% = 1.645

Formula used

Margin of error = z-value √ [p( 1-p)/n]

Substitute the value we get,

0.02 = 1.645 √ (0.5)(0.5)/n

Squaring on both the side

0.0004 = 2.706025 ( 0.25/n)

⇒ n = ( 2.706025 × 0.25 )/ 0.0004

⇒ n = 1691.26

⇒ n ≈ 1691

Therefore, size of sample needed with given margin of error is equal to 1691.

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The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data collection. A measure of variance in a data collection is the mean absolute deviation. We can determine how "spread out" the values in a data set are by looking at the mean absolute deviation.

The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data collection. A measure of variance in a data collection is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation. Take the absolute value of each digit in the data set, then deduct the mean. Next, add up the absolute values. The mean absolute deviation is then calculated by dividing the aforementioned sum by the total number of values in the data set. Finally, tenths should be rounded.
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The length of the other leg is 9 units. Therefore, option B is the correct answer.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, one leg of a right triangle is 8 units long, and its hypotenuse is 12 units long.

Let the length of the other leg be x.

12²=8²+x²

144=64+x²

x²=144-64

x²=80

x=√80

x=8.94

x≈9 units

Therefore, option B is the correct answer.

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The slope of the graph will be changed. The graph is still a straight line, But it becomes steep.

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

Slope of a Line :

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

As a result, m = change in y/change in x = y/x is the formula for the change in y-coordinate with respect to the change in x-coordinate.

where "m" represents a line's slope.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

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The solution of the system of equations is

x = -13/20 , y = 9/2 , z = 19/20

Given, a system of equations

x + 5y - 3z = 19

2x - 3y + 4z = -11

4x + y - 2z = 0

On multiplying eq (1) by 2, we get

2x + 10y - 6z = 38

On subtracting eq (1) and (2), we get

13y - 10z = 49 ... (4)

Now, On multiplying eq (2) by 2, we get

4x - 6y + 8z = -22

On subtracting eq (3) and (2), we get

7y - 10z = 22 ... (5)

Now, on subtracting eq (4) and (5), we get

6y = 27

y = 9/2

On substituting the value of y in Eq (5), we get

z = 19/20

Now, On substituting the value of y & z in Eq (1), we get

x + 5(9/2) - 3(19/20) = 19

x + 45/2 - 57/20 = 19

x + 393/20 = 19

x = -13/20

Hence, the solution of the system of equations is

x = -13/20 , y = 9/2 , z = 19/20

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Answer:

A. x = 13

B. x = 1

And the next equation answers are:

C. x = 1-5√2

D. x = 1+5√2

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

The percent that Marie will earn during her training is 66.67%.

What is percentage?

Percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given,

She earns working in new job = $15

She earns while training = $10

percentage she will earn during her training

= earing during training/earning during job multiplied by 100.

= 10/15(100)

=66.67%

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The percentage is used to denote the fraction of a quantity present.

The number of athletics students are 4. The correct answer is option A.

The percentage is defined as the portion of quantity present.

It is converted into fraction by dividing it by 100.

The percentage of students in athletics are 48%.

Total number of students in the class is 25.

The number of students in athletics is given as,

N = 48% of 25

=> N = 48 / 100 × 25

=> N = 48 / 4

=> N = 12.

Hence the number of athletics students in Mrs. Cano's class is 12.

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Answer:

you see that Square on the corner of B use that unit box and trace it and then go to E and Trace two unit boxes at the top

The correct statement is 'the basis for a statistical process control chart is a(the) sampling distribution'

In this question, we have been given a statement.

We need to select the correct option to complete the given statement.

Given statement:

the basis for a statistical process control chart is a(the) ............

We know that  statistical process control chart or graph is used to study how a process changes over time with data plotted.

A  statistical process control chart is nothing but a line graph showing a measure in consecutive order, with the measure on the y-axis and time or observation number on the horizontal x-axis.  The use of statistical  process control chart in the monitoring and maintaining of the quality found in a sample.

Therefore, the correct statement is 'the basis for a statistical process control chart is a(the) sampling distribution'

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The option she should choose based on the given condition is Option B 2 math questions and 7 science questions.

What are linear inequalities?

When two linear expressions are compared using the inequality symbols, that is an expression of a linear inequality.

Given, Time is taken for solving single math question = 12 minutes

          Time is taken for solving single science question = 5 minutes

Let 'x' be the total number of math questions and 'y' be the total number of science questions.

Then,

The total time taken for 'x' math questions = 12x minutes

The total time taken for 'y' science questions = 5y minutes

So, as defined in the question, we get

Total time she wants to spend practicing < 60 minutes

i. e. 12x + 5y < 60 .................... (i)

Now, we check this condition for each answer choice

A) x = 3 and y = 5, substituting values in equation (i)

So, 12*3 + 5*5 < 60

or, 36+25 < 60

or, 61 < 60 (Not valid)

B) x = 2 and y = 7, substituting values in equation (i)

So, 12*2 + 5*7 < 60

or, 24+35 < 60

or, 59 < 60 (Valid)

So, Option B is valid.

Hence, the required answer of choice is Option B i.e. 2 math questions and 7 science questions.

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The perimeter (adding up all the sides) of a rectangular piece of land is 228 feet. The length of the land is 74 feet and its width is 154 feet.

The perimeter of a closed plane figure is referred to in geometry. You might have studied perimeter calculations in school. An equilateral triangle has a 27-foot perimeter if each of its nine sides is the same length. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeter, meters, inches, and feet.

Given,

Perimeter = 228 feet

Length = x

Width = 2x + 6

Perimeter of rectangle = Length + Width

228 = x + 2x + 6

228 = 3x + 6

228 - 6 = 3x

222 = 3x

x = 74

The length of the land is 74 feet and its width is 154 feet.

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8:20 is the same as 2:5.

acc to our question-

hence,8:20 is the same as 2:5.

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Answer:

?jsp?3×4=5/6(9÷43)=2×3=45/_<7<78>(56)

The simplified form of given radical expression :

1) √216k⁴ = 6√6k²

2) √28x³y³ = 2xy√(7xy)

3) √192n³ = 8n√(3n)

4)∛40n² = 2∛n²n^(2/3)

5) ∛216x³ = 6x

6) ⁴√128x⁶y⁸ =  2xy8^(1/4)√(yx)

7) √252a³b^4 = 6ab²√(7a)

We need to solve given radical expressions.

1) √216k⁴

= √216 × √k⁴

= √(6 × 36) × √(k²)²

= 6√6 × k²

= 6√6k²

2) √28x³y³

= √(7 * 4) × √x³ × √y³

= 2√7 * x√x * y√y

= 2√7 * xy√(xy)

3) √192n³

= √(64 × 3) * √n³

= 8√3 * n√n

= 8n√(3n)

4)∛40n²

= ∛(8 × 5) * ∛n²

= ∛2³ * ∛5 * ∛n²

= 2∛n²n^(2/3)

5) ∛216x³

= ∛216 * ∛x³

= ∛6³ * ∛x³

= 6 * x

= 6x

6) ⁴√128x⁶y⁸

=  ⁴√128 *  ⁴√x⁶ *  ⁴√y⁸

= ⁴√(16 × 8) *  x(⁴√x²) *  y(⁴√y²)

= 2 * 8^(1/4) * xy (x²y²)^(1/4)

=  2xy8^(1/4)√xy

7) √252a³b^4

= √(36 × 7) * √a³ * √b^4

= 6√7 * a√a * b²

= 6ab²√(7a)

Therefore, the simplified form of given radical expression :

1) √216k⁴ = 6√6k²

2) √28x³y³ = 2xy√(7xy)

3) √192n³ = 8n√(3n)

4)∛40n² = 2∛n²n^(2/3)

5) ∛216x³ = 6x

6) ⁴√128x⁶y⁸ =  2xy8^(1/4)√(yx)

7) √252a³b^4 = 6ab²√(7a)

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Slope intercept form of (-2,-1) and (0,1) is y = 3/2x +1.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.

Given,

Coordinates = (-2,-1) and (0,1)

For slope:

m = y₂ - y₁/ x₂ - x₁

m = 1 + 2/0 + 2

m = 3/2

Slope intercept form:

y = mx + b

y = 3/2x +1

Slope intercept form of (-2,-1) and (0,1) is y = 3/2x +1.

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Step-by-step explanation:

Find the attached picture

Answer: its 12 and 8 10 12 14 16 either of those

Step-by-step explanation:

Option A. The percentage of items that can be recycled is 35%

We are first to determine the objects that can be recycled and those that cannot be recycled.

The recyclable objects that we have here are:

milk bottles = 2

soda cans = 2

newspapers = 3

The total number of recyclables = 7

The items that can not be recycled are:

1 banana peel

12 apple cores

The total number of recyclables = 13

The total number of objects = 7 + 13 = 20

The percentage of recyclables would be 7 / 20 * 100

= 35%

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Answer: y =  4x -11

Remeber  the slope is the gradient -> m

Our equation to find the problem:

Substitude:

y-9 = 4(x-5)                       because y1= 9, x1 = 5 and m = 4

y-9 = 4x - 20                     multiply by 4 with the numbers in  the bracets

y =  4x -11                          - 9 on both sides

therfore our equation that passes through the point (5,9) and has a slope of 4 is y =  4x -11

Answer: 8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

Step-by-step explanation: I hope i did this right?

Answer:

A. 8(x2 + 2x + 1) = –3 + 8

B. x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

E. 8(x2 + 2x) = –3

Step-by-step explanation:

On edge 2022

Answer:

12.06

Step-by-step explanation:

-5.5+10.63+(-3.7)+10.63

1) Remove parentheses.

-5.5 + 10.63 - 3.7 + 10.63

2) Simplify -5.5 + 10.63 to 5.13.

5.13 - 3.7 + 10.63

3) Simplify 5.13 - 3.7 to 1.43.

1.43 + 10.63

4) Simplify.

12.06

Step-by-step explanation:

(2x - 5)(x-3)

FOIL method: multiply first, outer, inner, and last of the pairs

[tex]2x^2-6x-5x+15\\\\2x^2-11x+15[/tex]

Answer:

Step-by-step explanation:

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = [tex]\frac{8}{6} X 15 = 20[/tex] waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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