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VashaNatasha [74]
3 years ago
14

A study reported that students who play sports get better grades in school than students who do not play sports. Determine which

statement below is INCORRECT.
A relationship exists between students playing sports and grades.
The study was observational and not an experiment.
Playing sports will cause students to get better grades in school.
In the study, individuals were observed and variables measured.
Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Among the choices provided the incorrect statement is "<span>Playing sports will cause students to get better grades in school."</span>
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Help me please I need an an answer asap
sammy [17]
(2/5)k + (1/10)k = (1/2)k - 1
0.4k + 0.1k = 0.5k - 1
We need to solve for k.

Subtract 0.4k from both sides
0.4k - 0.4k + 0.1k = 0.5k - 0.4k - 1
0.1k = 0.1k - 1

Subtract 0.1k from both sides:
0.1k - 0.1k = 0.1k - 0.1k - 1
0 = -1

Impossible. The equation has no solution.

7 0
3 years ago
The volume of a rectangular solid can be written as V=LWH, where L is the length of the solid, W is the width, and H is the heig
marshall27 [118]

Answer:

The length of the rectangle is 9 inches.

The height of the rectangle is 11 inches.

Step-by-step explanation:

Given : The volume of a rectangular solid can be written as V=LWH, where L is the length of the solid, W is the width, and H is the height. A box of cereal has a width of 2 inches. It’s height is 2 inches longer than it’s length. If the volume of the box is 198 cubic inches.

To find : What are the length and height of the box ?

Solution :

The width of the box is L inches

The width of the box is W=2 inches

The height is 2 inches longer than it’s length i.e H=L+2

The volume of a rectangular solid is V=L\times W\times H

198=L\times 2\times (L+2)

99=L^2+2L

L^2+2L-99=0

L^2+11L-9L-99=0

L(L+11)-9(L+11)=0

(L+11)(L-9)=0

L=-11,9

Reject L=-11 as dimension cannot be negative.

The length of the rectangle is 9 inches.

The height of the rectangle is 11 inches.

3 0
3 years ago
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
HACTEHA [7]

Answer:

(a) The value of P (X ≤ 2) is 0.8729.

(b) The value of P (X ≥ 5) is 0.0072.

(c) The value of P (1 ≤ X ≤ 4) is 0.7154.

(d) The probability that none of the 25 boards is defective is 0.2774.

(e) The expected value and standard deviation of <em>X</em> are 1.25 and 1.09 respectively.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number of defective boards.

The probability that a circuit board is defective is, <em>p</em> = 0.05.

The sample of boards selected is of size, <em>n</em> = 25.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={25\choose x}0.05^{x}(1-0.05)^{25-x};\ x=0,1,2,3...

(a)

Compute the value of P (X ≤ 2) as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

P(X\leq =x)=\sum\limits^{2}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.2774+0.3650+0.2305\\=0.8729

Thus, the value of P (X ≤ 2) is 0.8729.

(b)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = 1 - P (X < 5)

              =1-\sum\limits^{4}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=1-0.9928\\=0.0072

Thus, the value of P (X ≥ 5) is 0.0072.

(c)

Compute the value of P (1 ≤ X ≤ 4) as follows:

P (1 ≤ X ≤ 4) = P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

                   =\sum\limits^{4}_{x=1}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.3650+0.2305+0.0930+0.0269\\=0.7154

Thus, the value of P (1 ≤ X ≤ 4) is 0.7154.

(d)

Compute the value of P (X = 0) as follows:

P(X=0)={25\choose 0}0.05^{0}(1-0.05)^{25-0}=1\times 1\times 0.277389=0.2774

Thus, the probability that none of the 25 boards is defective is 0.2774.

(e)

Compute the expected value of <em>X</em> as follows:

E(X)=np=25\times 0.05=1.25

Compute the standard deviation of <em>X</em> as follows:

SD(X)=\sqrt{np(1-p)}=\sqrt{25\times 0.05\times (1-0.05)}=1.09

Thus, the expected value and standard deviation of <em>X</em> are 1.25 and 1.09 respectively.

8 0
4 years ago
Write an equivalent multiplication expression. than, find the quotient in it's simplest form. Use a model to support your respon
ludmilkaskok [199]

Answer:

Part 1) \frac{1}{8}

Part 2) \frac{1}{9}

Step-by-step explanation:

we know that

The quotient of a fraction by a whole number is the same that multiply the fraction by the reciprocal of the whole number

so

\frac{\frac{a}{b}}{c}=(\frac{a}{b})(\frac{1}{c})

Part 1) 1/4 divided by 2

\frac{\frac{1}{4}}{2}=(\frac{1}{4})(\frac{1}{2})=\frac{1}{8}

Part 2) 2/3 divided by 6​

\frac{\frac{2}{3}}{6}=(\frac{2}{3})(\frac{1}{6})=\frac{2}{18}

Simplify

\frac{1}{9}

4 0
3 years ago
Only C please:)<br> Thanks
kirill115 [55]

Answer:

3

Step-by-step explanation:

The  f^-1 notation indicates you need to find the inverse of the function

y=2x+1

x=2y+1

Exchange the x & y variables. Note this is what accomplishes that reflection across the line y = x

7=2y+1

-2y=1-7

-2y=-6

Divide both side of the equation by -2

negative divide negative is positive so

y=3

4 0
3 years ago
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