For which one of the following sets of variables would a negative correlation be expected if data were gathered from SEL students? a Height and shoe size. b Distance from campus and time it takes to arrive on campus. c Final points grade in SEL and number of homework points missed. d Weight and final grade in SEL.

Answer:

hi i think the answer shouldbe 34/43 as its out of 43 and there is 34 people on the internet. I think this should be write but it may  be wrong. if this is right please vote for brainliest. i hope my answer is right and this helps bye.

Answer:

Option A

Step-by-step explanation:

Consider the Fibonacci series:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...

Ignore the first 3 terms ( keys)

f(5)/f(4) = 5/3 = ~1.67

f(6)/f(5) = 8/5 = 1.60

f(7)/(f6) = 13/8 = ~1.63

f(8)/f(7) = 21/13 = ~1.61

f(9)/f(8) = 34/21 = ~1.62

f(10)/f(9) = 55/34 = ~1.62

...

=> Option A is the solution

Answer:

2(7a + 143)

what are the answers or are you asking us to find them

Answer:

2(7a + 4)

Step-by-step explanation:

Answer:

992

Step-by-step explanation:

\( \frac{32}{100} \times 3100 = 992\)

i think this is the answer

Answer:

Yes, it is

Step-by-step explanation:

It is biased because all of the employees have over a decade of experienc, what about the newly hired ones?

The relationship between the angles of a triangle is y + z = x. Then the correct option is B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The triangle ABC is shown. The sum of the interior angle of the triangle is 180°. Then the equation is given as,

∠BAC + y + z = 180°          ...1

The sum of the interior angle and exterior angle is equal to 180°. Then the equation is given as,

∠BAC + x = 180°        ...2

From equations 1 and 2, then we have

∠BAC + y + z = ∠BAC + x

y + z = x

The relationship between the angles of a triangle is y + z = x. Then the correct option is B.

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Answer:  x=11

Step-by-step explanation:

Answer:

\( \sf \: x = 11\)

Step-by-step explanation:

Given equation,

→ 0.3(4 + x) = 4.5

Now the value of x will be,

→ 0.3(4 + x) = 4.5

→ 1.2 + 0.3x = 4.5

→ 0.3x = 4.5 - 1.2

→ 0.3x = 3.3

\( \sf \rightarrow \: x = \frac{3.3}{0.3} \)

→ [ x = 11 ]

Hence, the value of x is 11.

An equation of the plane passing through the given points is -2x - 8z + 102 = 0.

To find an equation of the plane passing through the given points (3, -3, 12), (2, -1, 11), and (1, 3, 8), we can use the point-normal form of the equation of a plane.

The normal vector of the plane can be found by taking the cross product of two vectors formed from the given points. Let's take the vectors from points (3, -3, 12) to (2, -1, 11) and from (3, -3, 12) to (1, 3, 8).

Vector 1 = (2 - 3, -1 + 3, 11 - 12) = (-1, 2, -1)

Vector 2 = (1 - 3, 3 - (-3), 8 - 12) = (-2, 6, -4)

Taking the cross product of Vector 1 and Vector 2:

Normal vector = Vector 1 × Vector 2 = (-1, 2, -1) × (-2, 6, -4)

To find the cross product, we can use the formula:

(x, y, z) × (a, b, c) = (yc - zb, za - xc, xb - ya)

Calculating the cross product:

Normal vector = ((2)(-4) - (6)(-1), (-1)(-4) - (-2)(-2), (-1)(6) - (2)(-1))

= (-8 + 6, 4 - 4, -6 - 2)

= (-2, 0, -8)

So, the normal vector of the plane is (-2, 0, -8).

Now, we can substitute any of the given points and the normal vector into the point-normal form of the equation of a plane:

-2(x - 3) + 0(y + 3) - 8(z - 12) = 0

Simplifying the equation:

-2x + 6 - 8z + 96 = 0

-2x - 8z + 102 = 0

Thus, an equation of the plane passing through the given points is -2x - 8z + 102 = 0.

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When k is a common multiple of 75, 98, and 140, the following statements are true:I. k is divisible by 9II. k is divisible by 49III.

k is greater than 14,000Option C: I and II only is the correct option. In order to find the common multiple of 75, 98 and 140, we first have to find the prime factorization of the given numbers. 75 = 3 × 5²98 = 2 × 7²140 = 2² × 5 × 7.

Hence, the common multiple of 75, 98 and 140 is the product of the highest powers of all prime factors in the prime factorization of these numbers. Hence, the common multiple of 75, 98 and 140 is 2² × 5² × 7² = 2450.I.

k is divisible by 9: 2450 is not divisible by 9. Hence, this statement is incorrect.II. k is divisible by 49: 2450 is divisible by 49. Hence, this statement is correct.III. k is greater than 14,000: 2450 is less than 14,000.

Hence, this statement is incorrect. Therefore, the correct option is C: I and II only.

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The party planner estimated that 120 people will attend the event but only 100 people showed up. The percentage error can be calculated below

Answer:

10+2.50*L

Step-by-step explanation:

It first says they charge $10 PLUS $2.50 per lap.

If I were to go only 1 lap my total would be $12.50, that's why the number of laps is labeled L because we don't know how many laps the customer is going to make.

To estimate the values of f'(1), f'(2), f'(3), f'(4), and f'(5) using intervals of size 0.1, we can approximate the derivative numerically by calculating the average rate of change over small intervals around each point.

To estimate f'(x), we can use the formula:

f'(x) ≈ (f(x + h) - f(x)) / h

where h represents the interval size.

By applying this formula to each value of x, we can estimate the values of f'(1), f'(2), f'(3), f'(4), and f'(5) using intervals of size 0.1.

For example, to estimate f'(1), we calculate the average rate of change between x = 1 and x = 1.1:

f'(1) ≈ (f(1.1) - f(1)) / 0.1

Similarly, we can estimate the other derivatives:

f'(2) ≈ (f(2.1) - f(2)) / 0.1

f'(3) ≈ (f(3.1) - f(3)) / 0.1

f'(4) ≈ (f(4.1) - f(4)) / 0.1

f'(5) ≈ (f(5.1) - f(5)) / 0.1

By evaluating these expressions, using the given function f(x), we can estimate the values of the derivatives at each point.

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Answer:

A

Step-by-step explanation:

-3 > -11

Answer:

Option A, -3 is greater than -11, so it was colder in Milwaukee.

Step-by-step explanation:

-3 is greater than -11.

-11 is for Milwaukee so -11 is colder than Chicago therefore Option A is correct

If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

Given,

The total amount you had = $150

The amount you spend in each day = $2

Consider the number of days = x

Then the algebraic expression for this situation is 150-2x

Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

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Answer:

D

Step-by-step explanation:

Range is all the possible Y values in a graph

we can see that the graph will never reach a y value greater than three but will go to negative infinity

This means that answer is D (the y value will always be less than or equal to 3)

Answer:

f(2) = 4

f(3) = 9

Step-by-step explanation:

a function means you are supposed to input the given number into the statement you have been given, I hope it makes sense.

The probability of the event that exactly one of the colors that appears face up is red is 4/9.

The probability of the event that at least one of the colors that appears face up is red is 19/27.

(a) To find the probability of exactly one of the colors that appears face up being red, we can consider the different ways in which this can happen:

Red on the first roll, non-red on the second and third rolls.

Non-red on the first roll, red on the second roll, non-red on the third roll.

Non-red on the first and second rolls, red on the third roll.

For each of these cases, the probability can be calculated as follows:

Probability of red on first roll: 2/6 = 1/3

Probability of non-red on second roll: 4/6 = 2/3

Probability of non-red on third roll: 4/6 = 2/3

Total probability for this case: (1/3) * (2/3) * (2/3) = 4/27

Probability of non-red on first roll: 4/6 = 2/3

Probability of red on second roll: 2/6 = 1/3

Probability of non-red on third roll: 4/6 = 2/3

Total probability for this case: (2/3) * (1/3) * (2/3) = 4/27

Probability of non-red on first roll: 4/6 = 2/3

Probability of non-red on second roll: 4/6 = 2/3

Probability of red on third roll: 2/6 = 1/3

Total probability for this case: (2/3) * (2/3) * (1/3) = 4/27

Adding up the probabilities for each case gives us the total probability of exactly one of the colors that appears face up being red:

4/27 + 4/27 + 4/27 = 4/9

Therefore, the probability of the event that exactly one of the colors that appears face up is red is 4/9.

(b) To find the probability of the event that at least one of the colors that appears face up is red, we can consider the complement of the event, which is that none of the colors that appear face up is red. The probability of this can be calculated as follows:

Probability of non-red on first roll: 4/6 = 2/3

Probability of non-red on second roll: 4/6 = 2/3

Probability of non-red on third roll: 4/6 = 2/3

Total probability for this case: (2/3) * (2/3) * (2/3) = 8/27

Therefore, the probability of at least one of the colors that appears face up being red is:

1 - 8/27 = 19/27

Thus, the probability of the event that at least one of the colors that appears face up is red is 19/27.

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Answer: Her measuring cup has 8.25 mL of medicine.

Step-by-step explanation:

As per given,

In 11 mL of medicine, there are 20 drops.

That means quantity in 1 drop = \(\dfrac{11}{20}\) mL

Now , the quantity in 15 drops = 15 x quantity in 1 drop

= \(15\times\dfrac{11}{20}\)

\(=\dfrac{33}{4}\)

= 8.25 mL

Hence, her measuring cup has 8.25 mL of medicine.

The length of the bar is 10.5 foot and the width of the bar is 5.7 foot .

In the question ,

it is given that

the base area of the large chocolate bar is 59.85 square foot .

let the length of the chocolate bar be "l"

and the breadth of the chocolate bar be "b"

given that the length is 0.9 foot shorter than twice its width , means

l = 2w - 0.9

we have the area of rectangle = length \(\times\) width

Substituting the values of length , width and area we get

59.85 = (2w - 0.9 ) * w

59.85 = 2w² - 0.9w

2w² -0.9w -59.85 = 0

On solving the quadratic equation ,

we get w = -5.25 and w = 5.7

width cannot be in negative , so, the width is 5.7 foot .

and l = 2(5.7) -0.9 = 11.4 - 0.9 = 10.5

Therefore , the length of the bar is 10.5 foot and the width of the bar is 5.7 foot .

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Answer:

116

Step-by-step explanation:

The value of x in the chord intersection is 16 units.

The intersecting chord theorem  states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.

Therefore, lets find the value of x in the intersecting chords as follows:

15 × x = 24 × 10

15x = 240

divide both sides of the equation by 15

x = 240 / 15

x = 16

Therefore,

x = 16 units

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Answer:

25,600 and  33,113

Step-by-step explanation:

The computation of the number of students studied abroad in each country is shown below:

Let us assume second most popular host country be x

And the most popular be x + 7513

And, the total students is 58713

Now the equations are

x + x + 7513 = 58713

2x = 58713 - 7513

2x = 51,200

x = 25,600

So the number of students studied abroad is

= 25,600 + 7513

= 33,113

The simplified expression is (√(ax + b) * (cx - d)) / (c^2x^2 - d^2).

1. Deriving √a+√x / √a-√x:

To simplify the expression, we can multiply both the numerator and denominator by the conjugate of the denominator, which is √a+√x. This will help us eliminate the square roots in the denominator.

(√a+√x) / (√a-√x) * (√a+√x) / (√a+√x)

Expanding the numerator and denominator:

((√a)^2 + 2√a√x + (√x)^2) / ((√a)^2 - (√x)^2)

Simplifying further:

(a + 2√ax + x) / (a - x)

So, the simplified expression is (a + 2√ax + x) / (a - x).

2. Deriving a-x / √a-√x:

Again, to simplify the expression, we can multiply both the numerator and denominator by the conjugate of the denominator, which is √a+√x.

(a - x) / (√a - √x) * (√a + √x) / (√a + √x)

Expanding the numerator and denominator:

((a)(√a) + (a)(√x) - (√a)(√a) - (√a)(√x)) / ((√a)^2 - (√x)^2)

Simplifying further:

(a√a + a√x - a - √a√a - √a√x) / (a - x)

Grouping the like terms:

(a√a - a - √a√x) / (a - x)

So, the simplified expression is (a√a - a - √a√x) / (a - x).

3. Deriving √(ax+b) / (cx+d):

To simplify this expression, we can multiply both the numerator and denominator by the conjugate of the denominator, which is cx-d.

(√(ax + b) / (cx + d)) * (cx - d) / (cx - d)

Expanding the numerator and denominator:

(√(ax + b) * (cx - d)) / ((cx)^2 - (d)^2)

Simplifying the denominator:

(√(ax + b) * (cx - d)) / (c^2x^2 - d^2)

So, the simplified expression is (√(ax + b) * (cx - d)) / (c^2x^2 - d^2).

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37.40 is  large a sample should you take in confidence interval.

What does confidence interval mean?

For the 95% confident interval of population mean , the margin of error (ME)

       ME = Z 1 - 0.05/2 5/√n

           2 = 1.96 * 6.24/√n

          n = ( 1.94 * 6.24/2)²

           n = 37.40

the required sample size (n) is 38 .

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There are 40320 ways the 8 horses can finish the race in terms of color combination.

The number of color combinations in which the horses can finish is determined by the number of ways the 8 horses can be arranged.

This is known as a permutation.

The formula for permutation is:

n! / (n-r)!

where:

n = total number of items

r = number of items being selected at a time

In this case, we want to know the number of ways the 8 horses can be arranged in a race, so we will use 8 for n and 8 for r.

8! / (8-8)! = 8! / 0! = 8! = 8x7x6x5x4x3x2x1 = 40,320

So, there are 40320 ways the 8 horses can finish the race in terms of color combination.

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Answer:

A is the correct answer.

Step-by-step explanation:

The translation is (-3, 6). this means you move each coordinate left three and up 6.

You could also subtract 3 from each x-coordinate and add 6 to each y-coordinate.

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

11.1% of porcelain tile has strength up to 185 per square inch, while 6% has strength of 206.4 per square inch.

a. To find the percent of its popular porcelain tile that will have breaking strengths at most 185 pounds per square inch, we can use the Z-score formula. The Z-score formula is Z = (x - μ) / σ. In this problem, x is 185, μ is 200, and σ is 6.2. Plugging these values into the formula, we get Z = -2.42. To find the percent of tiles that have a breaking strength of at most 185 pounds per square inch, we can use a Z-score table. Looking up -2.42 on the Z-score table, we get a probability of 0.011, or 11.1%.

Z = (x - μ) / σ.

x=185

μ =200

σ = 6.2

Z = -2.42

Hence, probability = 0.011, or 11.1%.

b. The strongest 6% of its popular porcelain tile will have a breaking strength of 206.4 pounds per square inch. To find this value, we can use the Z-score formula again. This time, we will use a positive Z-score of 1.645, which corresponds to a probability of 0.06. Plugging this value into the formula, we get,

x = μ + (Z * σ).

Thus, x = 200 + (1.645 * 6.2) = 206.4.

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The correct answer is results of the memory test.

Given that,

Dr. Huang asked the healthy volunteers in a group to read a chapter for an hour. The other half of the attendees spent 15 minutes studying. Dr. Huang next asked participants to recall specifics from the paragraph in a test.

To find :what was the dependent variable ?

It is something on which other elements depend. The test score for a instance, may be the dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were.

Therefore, the correct answer is results of the memory test.

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