15 POINTS

Identify the zeros in the given graph

{-3,-1,4,1}

{-3,-1,1}

{-3,-4,1}

{-3,1}

Answer:

x = 8

Step-by-step explanation:

[tex]15 + x = 23[/tex]

[tex]x = 23 - 15[/tex]

∴[tex]x = 8[/tex]

The statistical significance does not necessarily imply practical significance. In this case, while the IQ score of 160 is statistically significant, it may not necessarily be practically

To assess whether any of the IQ scores are statistically significantly high or low, we need to calculate the z-score for each score. The formula for calculating the z-score is:

z = (x - μ) / σ

Where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.

First, we need to calculate the mean and standard deviation of the IQ scores:

Mean = (100 + 90 + 110 + 160 + 90 + 85 + 65 + 100 + 95 + 98) / 10 = 99.3

Standard deviation = √[((100-99.3)² + (90-99.3)² + (110-99.3)² + (160-99.3)² + (90-99.3)² + (85-99.3)² + (65-99.3)² + (100-99.3)² + (95-99.3)² + (98-99.3)²) / 10] = 39.77

Now we can calculate the z-score for each IQ score:

z1 = (100 - 99.3) / 39.77 = 0.018

z2 = (90 - 99.3) / 39.77 = -0.233

z3 = (110 - 99.3) / 39.77 = 0.27

z4 = (160 - 99.3) / 39.77 = 1.53

z5 = (90 - 99.3) / 39.77 = -0.23

z6 = (85 - 99.3) / 39.77 = -0.36

z7 = (65 - 99.3) / 39.77 = -0.86

z8 = (100 - 99.3) / 39.77 = 0.017

z9 = (95 - 99.3) / 39.77 = -0.108

z10 = (98 - 99.3) / 39.77 = 0.032

Using the z-table, we can find the percent of scores below each z-score:

z1 =  0.018 or 70.01%

z2 = -0.233 or 34.67%

z3 = 0.27 or 75.01%

z4 = 1.53 or 83.68%

z5 = -0.23 or 34.67%

z6 = -0.36 or 37.47%

z7 = -0.86 or 45.16%

z8 =  0.017 or 70.01%

z9 = -0.108 or 31.80%

z10 =  0.032 or 69.15%

To determine whether each z-score is statistically significant, we need to compare it to a predetermined level of significance, typically α = 0.05. If the probability associated with the z-score (i.e., the percent of scores below it) is less than or equal to α, we consider the score statistically significant.

Based on this criterion, the only score that is statistically significant is the IQ score of 160 (z-score = 2.29, percent of scores below = 83.68%). All other scores have a probability greater than α, and therefore are not statistically significant.

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The number of players the team can bring to the tournament is 20.

What is a linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0.

In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.

Here, we have

Given: Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals.

we have to determine the number of players the team can bring to the tournament.

So to make an equation, the bus charge would be the y-intercept (If no member went, they still paid for the bus fee) and the meals would be the slope (since it is dependent on how many members ride the bus.)

The total would add up to be 2412.50, so the equation would be:

2412.50 = 67x+1072.50

where x = the number of players the team can bring to the tournament without going outside of their budget.

After solving this, we get

2412.50 = 67x+1072.50

2412.50 - 1072.50 = 67x

1340 = 67x

x = 20

Hence, the number of players the team can bring to the tournament is 20.

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Step-by-step explanation:

here,

so the correct answer is this

Answer: C

Step-by-step explanation: is closer to 5000

Answer:

Step-by-step explanation:

i assume you mean that the mat is 11 feet on each side so

area = s*s(or S^2)

so 11*11=121feet sq

The values of the unknown in the figures are a = 40, b = 32 and c = 275

Figure (a)

A quadrilateral has a total angle measure of 360 degrees.

So, we have

90 - a + 92 + 128 + 90 = 360

Evaluate the like terms

-a = 360 - 400

So, we have

a = 40

Figure (b)

The total measure of angles on a line is 180 degrees.

So, we have the following

4b - 10 + 2b - 2 = 180

Evaluate the like terms

6b = 192

So, we have

b = 32

Figure (c)

The total measure of angles at a point is 360 degrees

So, we have the following

c + 19 + (94 - 28) = 360

Evaluate the like terms

c = 275

Hence, the value of c is 275 degrees

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By converting the equation 3x - y = 7 in the slope-intercept form, the slope, and the intercept will be (A) m = 3, b = -7.

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b).

The y value of the y-intercept point is denoted by the symbol b in the formula.

A line's slope and y-intercept are expressed in the following formula: y=mx+b.

The y-intercept, which is usually represented in coordinate form as (0,b), is the point where the line crosses the y-axis.

So, we have the equation:

3x - y = 7

After reading the above-given description about the slope-intercept form, we can tell that in the given equation:
m = 3, b = -7

Therefore, by converting the equation 3x - y = 7 in the slope-intercept form, the slope and the intercept will be (A) m = 3, b = -7.

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Complete question:
After 3x - y = 7 is put in slope-intercept form, the slope, and intercept are:

a m = 3, b = -7

b m = -3, b = 7

c m = -3, b = -7

d m = 3, b = 7

The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.

A square is a shape that we frequently encounter in our daily lives. Illustrations of square shapes that are frequently used include chess pieces, clock hands, picture frames, pizza boxes, coasters, computer keys, etc.

In the bathroom, Robert is paving the floor.

The area of each square-shaped tile is 120.5 square inches.

Area = side²

side = √Area

side = √120.5

side = 10.97 in

side = 11 in (approx)

The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.

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The sale price per sheet in this example is $12.60.

What is the discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. It is a form of incentive that is used to encourage customers to purchase goods or services, often by making them more affordable or attractive.

To compare the two deals, we need to calculate the sale price per sheet for each deal.

In the previous example, the sale price per sheet was $15.00 after a 20% discount off the regular price of $18.00.

In this example, the sale price per sheet is 30% off the regular price of $18.00, so we can calculate the sale price per sheet as:

Sale price per sheet = Regular price per sheet - Discount amount

Sale price per sheet = $18.00 - (30% x $18.00)

Sale price per sheet = $18.00 - $5.40

Sale price per sheet = $12.60

Comparing the two deals, we can see that the sale price per sheet in this example is lower than the sale price per sheet in the previous example. Therefore, the better deal is the 30% discount off the regular price of $18.00, which results in a sale price per sheet of $12.60.

Therefore, the sale price per sheet in this example is $12.60.

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Therefore, the angle between vector A and the positive e axis (which is the positive x-axis) is 60.255°.

To find the angle between vector A = (25 m)i + (45 m)j and the positive e axis, we first need to find the direction of vector A.

We can find the direction of vector A by taking the arctangent of the y-component over the x-component of the vector:

θ = tan⁻¹ (y/x)

where θ is the angle between the vector and the positive x-axis.

In this case, the y-component of vector A is 45 m and the x-component is 25 m:

θ = tan⁻¹ (45/25) = 60.255°

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Answer:

Step-by-step explanation:

90 degrees is the answer because there is no movement

Answer:

I think is D

Step-by-step explanation:

because

R:622 and Y:410

Option A is correct, 162 is the greatest number of caps she can buy.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x be the number of caps.

We have been given that cost of one cap is $6, so cost of x caps will be equal to 6x.

We are also told that the company charges an amount of $25 for shipping, so total cost of buying x caps will be equal to the cost of x caps plus shipping charges (6x+25).

Since Laura has a budget of $1,000, so cost of x caps will be less than or equal to 1,000.

We can represent this information in an equation as:

6x+25≤1000

Let us solve for x

Subtract 25 from both sides

6x≤1000-25

6x≤975

Divide both sides by 6

x≤162.5

Hence, Option A is correct, 162 is the greatest number of caps she can buy.

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We know that 50% of the data falls between the minimum value and the median (i.e., between 5 and 35). So the answer is: 50%.

The median is a useful measure of central tendency in datasets that are skewed or have outliers, as it is less sensitive to extreme values than the mean. It is also useful in datasets with non-numeric values, such as rankings or survey responses. In addition to the median, other measures of central tendency include the mean and mode. Each measure has its own strengths and weaknesses, and the appropriate measure to use depends on the nature of the dataset and the research question being asked.

To answer this question, we need to determine the position of the lower whisker and the vertical bar relative to the range of the data.

The lower whisker extends to 5, which is the minimum value in the dataset. The vertical bar inside the box is located at 35, which represents the median of the dataset.

Therefore, we know that 50% of the data falls between the minimum value and the median (i.e., between 5 and 35).

So the answer is: 50%.

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Based on the information in the graph, we can infer that the length of Main St between 5th Ave. and 6th Ave. is 0.24km.

To find the value of Main St. between 5th Ave. and 6th Ave we must perform the following mathematical procedure:

In accordance with the above, what we did was a relationship between the fractions that represent the length of each street. In this case we had to clear the x that represented Main St. between 5th Ave. and 6th Ave.

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Answer:

Assuming "she" in the question is a typo and it should be "if", here's the solution:

If the population of a small town is 567, and it decreases at a rate of 1.5% per year, we can find the population after 20 years using the formula:

P = 567 * (1 - 0.015)^20

where P is the population after 20 years.

Simplifying this expression, we get:

P = 567 * 0.742 = 420.414

Rounding this to the nearest whole number, we get:

P ≈ 420

Therefore, after 20 years, the population of the small town would be approximately 420.

Answer: 8.2 weeks.

Step-by-step explanation: If y = 4*3^t, then 600 = 4*3^t. Therefore, t = log3 (600/4), which is approximately 8.2 weeks.

For the equation 75x+30y=1500,  x is (100 - 2y) / 5 and y is (100 - 5x) / 2.

An equation is a mathematical statement that uses symbols and numbers to express a relationship between two or more variables. It states that two expressions are equal to each other.

We can solve for x and y in the equation 75x + 30y = 1500 by using algebraic manipulation.

First, we can simplify the equation by dividing both sides by the greatest common factor of 75 and 30, which is 15:

(75x + 30y) / 15 = 1500 / 15

Simplifying the left side gives:

5x + 2y = 100

Next, we can isolate one of the variables. Let's isolate y by subtracting 5x from both sides:

5x + 2y - 5x = 100 - 5x

Simplifying the left side gives:

2y = 100 - 5x

by dividing both sides by 2:

y = (100 - 5x) / 2

This is the equation for y in terms of x. We can use this equation to solve for y given a value of x, or we can substitute it back into the original equation to solve for x in terms of y.

Let's solve for x in terms of y by isolating x in the equation 5x + 2y = 100:

5x = 100 - 2y

Dividing both sides by 5 gives:

x = (100 - 2y) / 5

This is the equation for x in terms of y. We can use this equation to solve for x given a value of y, or we can substitute it back into the original equation to solve for y in terms of x.

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In respοnse tο the query, we can state that Therefοre, the simplified equatiοn expressiοn fοr f(x+h) - f(x)/h is: 10x + 5h + 3

In a math equatiοn, twο assertiοns are cοnnected by the equals sign (=), which denοtes equivalence. A mathematical assertiοn used in algebraic equatiοns establishes the equivalence οf twο mathematical statements. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. Tο cοmprehend the relatiοnship between the twο sentences written οn οppοsing sides οf a letter, utilise a mathematical fοrmula. The lοgο and the specific prοgramme typically cοrrespοnd. An illustratiοn wοuld be 2x - 4 = 2.

functiοn f(x) intο the fοrmula fοr f(x+h) - f(x)/h, and then simplify the resulting expressiοn algebraically.

f (x + h) — f (x)

= [5(x + h)² + 3(x + 10] — [5x² + 3x]

= [5(x² + 2xh + h²) + 3x + 314 — [5x² + ax]

= [5x² + 10xh + 5k² + 3x + 3h] — [5x² + 3x]

= 10xh + 5h² + 3h f(x+h) - 1(x) h

= 10x + 5k + 3

Therefοre, the simplified expressiοn fοr f(x+h) - f(x)/h is:

10x + 5h + 3

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The transformation below would map the polygon A to the polygon B is

Polygon A have translated to the right and reflected vertically.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

We have two polygon as A and B.

As, 90° clockwise rotation: (x, y) becomes (y,-x) 90° counterclockwise rotation: (x, y) becomes (-y, x).

But there is no change in the coordinate as such rule so rotation is not possible.

As we can see the figure Polygon A have translated to the right and reflected vertically.

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Answer: Polygon A has been reflected horizontally and reflected vertically

Step-by-step explanation: I took the quiz and it was the right answer

Answer:

(4,2)

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

The diagonals  WY  and  XZ   are equal for a rectangle

14x+10 = 11x+ 22

3x = 12

x = 4

then use this value to calculate the length

  WY = 14 x + 10

         = 14 (4) + 10 = 66 units

The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.

What is  function in math ?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

                         Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.

The function is given below.

f(x) = (x - 2)² + 6

Convert the equation into a standard form. Then we have

f(x) = (x - 2)² + 6

f(x) = x² - 4x + 4 + 6

f(x) = x² - 4x + 10

The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.

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Answer:yes

Step-by-step explanation:

5/6 is the value of b.......

Answer:

The base is XZ and the height is ZY.

The measure of base is: 3 Units

The measure of Height is: 3 Units

Step-by-step explanation:

The explaination is given in the pictures...