prof. wright wants to predict biol 300 final exam scores using the number of hours that students have studied for the exam. data from previous years on exam scores and hours studied shows that the correlation coefficient for these two variables is 0.62. which of the following is the best response for whether or not prof. wright should use linear regression to predict the score of a student who has studied 10 hours for the final exam?
a. LInear regression would not be appropriate because there is no way to prove that more hours of studying leads to higher exam scores.
b. Linear regression would be appropriate because there is a moderate correlation between exam scores and hours studied
c. Linear regression could be appropriate if a scatter plot shows a linear relationship between exam scores and hours studied.
d. Linear regression would be approriate because it is statistical method used to make predictions from bivariate numerical data.

Answer:

-6 and 7

Step-by-step explanation:

-6 and 7 multiply to be -42.

When you add the two values: -6+7=1

Their sum is 1!

Hope this helps

Answer:

2, -1

Step-by-step explanation:

The 16 factors of -42 are

1, 2, 3, 6, 7, 14, 21, 42

-1, -2, -3, -6, -7, -14, -21, -42

The pair of factors that have a sum of 1 is

2, -1

2 + (-1)

=1

3, -2 also

7, -6 also.

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer:

15

Step-by-step explanation:

When b = 9,

=> 3a + 9 = 54

=> 3a + 9 - 9 = 54 - 9

=> 3a = 45

=> 3a/3 = 45/3

=> a = 15

Therefore, when b is 9, a is 15

Answer:

a=15

Step-by-step explanation:

First, you will plug in 9.

Then, you'll solve for a: 3a+9=54

Then, you'll subtract 9 from both sides. It will look like this: 3a+9-9=54-9

Then: 3a=45

Then you'll divide: 3a/3=45/3

And it gives you: a=15

Answer: 34.1 cm

Step-by-step explanation:

Using the pythagorean theorem (a^2 + b^2 = c^2), we know that the hypotenuse^2 = 26^2 + 22^2

Hypotenuse^2 = 1160

Hypotenuse = about 34.1 cm

Answer:  B, C, D

Step-by-step explanation:

Are correct:

B) Diagonals are perpendicular

C) Consecutive Angles are Supplementary

D) Diagonals bisect angles

Not correct:

A) Diagnols are congruent to sides is not correct the because diagonals of a square are congruent to each other, not to the sides

Step-by-step explanation:

To solve the given expression, we need to combine like terms.

(2x^2+6x+1)+(-7x^2+2x-3)

First, we can combine the two x^2 terms:

2x^2 - 7x^2 = -5x^2

Next, we can combine the two x terms:

6x + 2x = 8x

Finally, we can combine the two constant terms:

1 - 3 = -2

Putting it all together, we get:

(2x^2+6x+1)+(-7x^2+2x-3) = -5x^2 + 8x - 2

Therefore, the simplified expression is -5x^2 + 8x - 2.

Answer:

-5x^(2)+8x-2

Step-by-step explanation:

Just use distributive property.

Cube rolled = 50 times

1 or 2 came up = 19 times

In percentage, that is >>>

So, 1 or 2 occured 38% of the times where it should occur around 20% of the times.

Looking at the answer choice, third option (C) is right.

Answer:

$20

Step-by-step explanation:

Money paid with surcharge by 6 friends = $ 186

Money paid with surcharge by a friend = 186 ÷ 6 = $ 31

Money paid by each friend without surcharge = 31 - 11 = $ 20

Answer:

m = 21.33333 or 21 1/3

Step-by-step explanation:

6/16 = 8/m

cross multiply to get

6m = 128

m = 21.33333 or 21 1/3

Answer:

B

Step-by-step explanation:

im bad at explaining this :(

False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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the formula for the perimeter (P) of an isosceles trapezoid is:

P = 2 * (base1 + base2) + leg1 + leg2

To find the perimeter of an isosceles trapezoid, follow these steps:

1. Identify the given measurements: In an isosceles trapezoid, know the lengths of the two parallel sides (the bases) and the two non-parallel sides (the legs).

2. Add the lengths of the bases: Add the lengths of the two parallel sides (bases) of the trapezoid.

3. Multiply the sum by 2: Multiply the sum from step 2 by 2 to account for both sides of the trapezoid.

4. Add the lengths of the legs: Add the lengths of the two non-parallel sides (legs) of the trapezoid.

5. Add the results: Add the results from steps 3 and 4 to find the perimeter of the isosceles trapezoid.

Mathematically, the formula for the perimeter (P) of an isosceles trapezoid is:

P = 2 * (base1 + base2) + leg1 + leg2

Alternatively, know the lengths of all four sides of the trapezoid, simply add them together to find the perimeter.

Keep in mind that the measurements used in the formula should be in the same unit (e.g., centimetres, inches) for accurate results.

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Answer:

Step-by-step explanation:

P = a + b + 2c

where a is the top, b is the bottom, and c is a leg of the trapezoid. The perimeter is the sum of the outer edge of the shape, so you just need to add the lengths of the sides.

this is how i solved for x! i hope it helps

The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, the roots of the quadratic equation are x= 2 + i.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

A) x²-4x-5=0

Here, x=[4±√(16-20)]/2

x=[4±2i]/2

x=2±i

x=2+i or x=2-i

Therefore, option A is the correct answer.

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Answer:

m=2/3

Step-by-step explanation:

Answer:

I think its Z (-5, 7)

Step-by-step explanation:

Here :)

The coordinates of Z is (7, -5).

Given that, Z'(5, -7) is the image of Z after a reflection in the line y=x.

We need to find the coordinates of Z.

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

So, the coordinates of Z become (7, -5).

Therefore, the coordinates of Z is (7, -5).

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Answer:

0.00039

Step-by-step explanation:

The ratio of two similar triangles is 3 and 4 if the area of the larger triangle is 64 square inches. The possible areas for the other triangle is 36 inches²

Assume the triangles are right triangle as you can see at the figure attached and their sides of are a₁, b₁, c₁ and a₂,b₂,c₂, where c₁ and c₂are the hypothenus. b₁ and b₂ is the base and a is the heights.

the ratio of their sides are a₁ = b₁ = c₁= 3

                                       a₂= b₂ = c₂= 4

Then if the area of triangle 1 is A₁ = 1/2 a₁ b₁ and area of the triangle 2 is A₂ = 1/2 a₂ b₂

then, a₁ = 3/4 a₂ and b₁=3/4b₂ which makes

A₂ = 1/2(3/4a₂)(3/4b₂)

A₂ = (9/6)(1/2 a₂b₂)

A₂= 9/16 (A₁)

A₂= 9/16 (64) = 36

therefore the area of the smaller triangle is 36 inches²

Your question is incomplete but most probably your full question was

the ratio of two similar triangles is 3 and 4 if the area of the larger triangle is 64 square inches what is the possible areas for the other triangle?

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Step-by-step explanation:

If x and y are integers, then the even number is 2x and the odd number is 2y+1.  The product is:

2x (2y + 1)

Distribute the x:

2 (2xy + x)

This product is a multiple of 2, so the number is even.

Answer:

$8,000

Step-by-step explanation:

40x20= .1s

8000=s

First option, the salesperson will earn 40*20=800 dollars.

For second option, the person will earn the amount he sells/10.

For them to be equal the second salesperson have to sell 800*10=8000 dollars of items to earn that as much money as the first salesperson.

the extreme value theorem does not guarantee the existence of an absolute maximum and minimum for the function f(x) = 10^4x over the interval (-2, 2).

To determine whether the extreme value theorem guarantees the existence of an absolute maximum and minimum for the function f(x) = 10^4x over the interval (-2, 2), we need to check if the function satisfies the conditions of the theorem.

The extreme value theorem states that if a function is continuous on a closed interval [a, b], then it must have both an absolute maximum and an absolute minimum on that interval.

In this case, the interval (-2, 2) is an open interval, not a closed interval. Therefore, the extreme value theorem does not directly apply to this interval.

However, we can still analyze the function within the given interval to determine whether it has an absolute maximum or minimum.

The function f(x) = 10^4x is an exponential function with a positive base. Exponential functions with positive bases are continuous over their entire domain, including the interval (-2, 2). Since f(x) is continuous on the interval, it is possible for it to have an absolute maximum or minimum within the interval.

To find the extreme values, we can analyze the behavior of the function as x approaches the endpoints of the interval (-2, 2). As x approaches -2, the value of f(x) approaches 0, and as x approaches 2, the value of f(x) approaches a large positive value.

Therefore, in this case, we cannot directly conclude the existence of an absolute maximum or minimum within the interval (-2, 2) based on the extreme value theorem, as it is not applicable to open intervals. However, by analyzing the function and its behavior, we can see that there is no absolute maximum value and that the function approaches positive infinity as x approaches 2.

In summary, the extreme value theorem does not guarantee the existence of an absolute maximum and minimum for the function f(x) = 10^4x over the interval (-2, 2).

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The equation stating requirement for goal is 250 = 25t and value of variable or shirts is 10.

The amount remaining to be raised = 370 - 120

Remaining amount = $250

The number of t-shirts need to be sold to meet the goal will be given by the formula -

Amount required = number of shirts × cost of each shirt

Keep the values in formula to find the expression and value of variable

250 = 25t

Solving the equation for the value of t

t = 250/25

Divide the values

t = 10

Hence, the expression is 250 = 25t and value of variable is 10.

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Answer:

110

Step-by-step explanation:

the height is the step number and the width is always 1 number above the height

10 x 11 = 110

The gardener should create a square-shaped garden with sides measuring 100 feet each to guarantee the greatest possible area.

To guarantee the greatest possible area for the rectangular garden with one side bordered by a river, the gardener should use the available 400 feet of fencing to enclose the remaining three sides of the garden in a square shape.

This means that two opposite sides of the square will each measure 400/4 = 100 feet, while the other two sides will measure the same, forming a square garden.

By creating a square garden, the gardener maximizes the area because a square is a rectangle with equal sides, and for a given perimeter, a square has the largest possible area among all rectangles. In this case, the river acts as one side of the rectangle, and the square shape ensures that the remaining two sides are equal, optimizing the enclosed area.

To summarize, the gardener should create a square-shaped garden with sides measuring 100 feet each to guarantee the greatest possible area.

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Answer:

If you're a freshman then you're required to attend the orientation

Step-by-step explanation:

Given

Statement: All freshman are required to attend orientation.

Required

Write as an if-then form

First, we need to split the given statement

1: All freshman

2: Attend orientation.

Next, is to convert to if-then:

If you're a freshman then you're required to attend the orientation

Answer:

B

Step-by-step explanation:

X is about 4.5 times the amount given, so B. 337 1/2

Answer:

337.5 or 337½

Step-by-step explanation:

y∞x

y=kx(where k is the constant)

75=½k

cross multiplication

75×2=k

150=k

therefore the formula connecting x,k and y is y=150x

y=150×2¼

y=150×9/4

y=1350÷4

y=337.5or 337½

The probability of the quality-control manager shutting down the machine when it is correctly calibrated is 0% since the sample mean must be between 1.98 and 2.02 liters.

To calculate the probability, we can use the z-score formula:

z = (x - μ)/σ

where x is the sample mean (1.98 or 2.02 liters), μ is the population mean (2 liters), and σ is the population standard deviation (0.02 liters).

For the lower bound (1.98 liters), the z-score is:

z = (1.98 - 2)/0.02

= -0.5

For the upper bound (2.02 liters), the z-score is:

z = (2.02 - 2)/0.02

= 0.5

To find the probability, we can use the z-table to find the area under the curve for z-scores between -0.5 and 0.5. The area is 0.0026, or 0.26%. This is the probability that the quality-control manager will shut down the machine even though the machine is correctly calibrated.

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Answer:

Step-by-step explanation:none

Answer: $648

Step-by-step explanation: