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3 years ago

A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half

Mathematics

1 answer:

uysha [10]3 years ago

4 0

<h2>D. This is an experiment with blocking </h2><h2 />

For your question: "A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half

of his 36 students to listen to music while taking a test and the other half to not listen to music during the test. To

determine who listens and who does not, the teacher identifies the two students who scored highest on the last test

and randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-

scoring students and continues in this manner until each student has their instructions. Which of the following best

describes this plan?"

The answer is D

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Write the equation of the line that has a y-intercept of (0,4) and a slope of 2.

GuDViN [60]

Answer:

y=2x+4

Step-by-step explanation:

the y-intercept is the y value of the point given. in the slope form, 2 would be your m

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3 years ago

The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 31 and m3 is 72. Find m1. The

bezimeni [28]

Answer:

m∠1=103°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

In this problem

m∠1=m∠2+m∠3

substitute the given values

m∠1=31°+72°=103°

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3 years ago

If 12 > -15, which of the following must be true?

Tcecarenko [31]

Answer:

12 is to the right of -15 on a number line.

Step-by-step explanation:

Hope this helps! - CJ

5 0

3 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

What is the mean of 65,30,25

mixas84 [53]

You've got 3 values there.

Get the sum of 65, 30 and 25 and divide their sum by the number of values that exist, which in this case is 3.

$\frac { 65+30+25 }{ 3 } =\frac { 120 }{ 3 } =40$

Answer:

40

5 0

3 years ago

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