Which choices are equivalent to the fraction below? Check all that apply.

Answer:

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.

Step-by-step explanation:

The mean number of rushing yards for one NFL team was less than 105 yards per game.

At the null hypothesis, we test if the mean number of rushing yards for the team was the league's mean, which is close to 105 yards per game, that is:

[tex]H_0: \mu = 105[/tex].

At the alternate hypothesis, we test if there is significant evident to conclude that this team average is less than 105 yards per game, that is:

[tex]H_1: \mu < 105[/tex]

How should you interpret a decision that rejects the null hypothesis?

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.

Answer:

Verdadero

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

a) The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.

b) The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.

c) The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.

Step-by-step explanation:

For each smoker, there are only two possible outcomes. Either they started smoking before 21 years old, or they did not. Smokers are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

50% of adult smokers started smoking before 21 years old.

This means that [tex]p = 0.5[/tex]

5 smokers 21 years old or older are randomly selected, and the number of smokers who started smoking before 21 is recorded.

This means that [tex]n = 5[/tex].

a) The probability that at least 2 of them started smoking before 21 years of age is

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125[/tex]

[tex]P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.03125 + 0.15625 = 0.1875[/tex]

The probability that at least 2 of them started smoking before 21 years of age is 0.1875 = 18.75%.

b) The probability that at most 4 of them started smoking before 21 years of age is

This is:

[tex]P(X \leq 4) = 1 - P(X = 5)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125[/tex]

[tex]P(X \leq 4) = 1 - P(X = 5) = 1 - 0.03125 = 0.96875[/tex]

The probability that at most 4 of them started smoking before 21 years of age is 0.96875 = 96.875%.

c) The probability that exactly 3 of them started smoking before 21 years of age is

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125[/tex]

The probability that exactly 3 of them started smoking before 21 years of age is 0.3125 = 31.25%.

I think this is the answer

=(3h+61)

Answer:

Complementary Angles - 3rd one (at the bottom)

Supplementary Angles - 2nd one (at the top-right)

Vertical Angles - 1st one (at the top-left)

Feel free to mark it as brainliest :D

Answer:

20/500 and 25/625

Step-by-step explanation:

1. 20 of 500 failed, which is 20/500

2. 25 of 625 failed, which is 25/625

Answer:

its d

Step-by-step explanation:

i did the test

Answer:

the graph is going to be facing up not down

Answer:

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

less than 8 is supposed to be 7 or less 6×7=$42

Answer:

12180

Step-by-step explanation:

Answer:

first is 52°C

Step-by-step explanation:

Answer:

1/4

this is fraction of time spent on English language...

Answer:

sr for messy handwriting

Answer:

B. 1,1,2,3,5,8,13,21

Step-by-step explanation:

I calculated it logically

Answer:

? = 27

Step-by-step explanation:

56 + ? + 11 = 94

? + 67 = 94

? = 27

Answer:

14x

Step-by-step explanation:

14x = 14 x (x) = 14(x)

Answer:

The decimal number system comprises digits from 0-9 that are 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9. Some of the decimal number system examples are: ... 34110, 5610, 678910, 7810. Now as we know to write decimal numbers till 10 let us use the 3 rules on a decimal system,to write further numbers.

[tex] \bf \pink{Define \: the \: decimal \: number \: system \: in \: your \: own \: words. }[/tex]

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. ... It also requires a dot (decimal point) to represent decimal fractions.

Answer:

∆ RPQ

Step-by-step explanation:

__________________

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

A.)

Vehicle speeds on highway (9 vehicles) 74, 82, 67, 73, 65, 41, 74, 49, 85

Ordered data :

41, 49, 65, 67, 73, 74, 74, 82, 85

Sample size, n = 9

Median = 1/2 * (n +1) th term

Median = 1/2 * 10 = 5th term

Median value = 73

Midrange = (Maximum + minimum) / 2

Midrange = (85 + 41) / 2 = 126 / 2 = 63

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(41*49*65*67*73*74*74*82*85)^1/n

= 66.19

B.)

Sodium grams in canned soup (8 varieties)

X = 4.22, 3.60, 2.68, 2.75, 2.70, 4.17, 2.72, 4.29

Ordered data:

2.68, 2.70, 2.72, 2.75, 3.60, 4.17, 4.22, 4.29

Sample size, n = 8

Median = 1/2 * (n +1) th term

Median = 1/2 * 9 = 4.5th term

Median value = (2.75+ 3.6) / 2 = 3.175

Midrange = (Maximum + minimum) / 2

Midrange = (4.29 + 2.68) / 2 = 3.485

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(2.68*2.70*2.72*2.75*3.60*4.17*4.22*4.29)^1/8

= 3.32

C.)

Campus health center visits (12 students)

X : 1, 5, 6, 13, 2, 3, 1, 3, 3, 1, 4, 3

Ordered data :

1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 13

Sample size, n = 12

Median = 1/2 * (n +1) th term

Median = 1/2 * 13 = 6.5th term

Median value = 3

Midrange = (Maximum + minimum) / 2

Midrange = (1 + 13) / 2 = 7

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(1*1*1*2* 3*3*3*3*4* 5*6*13)^1/12

= 2.82

Answer:

( − 5 ) ( 3 + 1 )

Step-by-step explanation:

Use the sum-product pattern: 3 2 − 1 4 − 5

3 2 + − 1 5 − 5

Common factor from the two pairs: 3 2 + − 1 5 − 5

( 3 + 1 ) − 5 ( 3 + 1 )

Rewrite in factored form

Answer:

Step-by-step explanation:

Standard form:

3x2 − 14x − 5 = 0

Factorization:

(x − 5)(3x + 1) = 0

Solutions based on factorization:

x − 5 = 0   ⇒   x1 = 5

3x + 1 = 0   ⇒   x2 = −1

3

≈ −0.333333

Extrema:

Min = (2.333333, −21.333333)

Answer:

(3 x + 1 ) ( x − 5 )

Answer:

Step-by-step explanation:

slope=y2-y1/x2-x1

here x1=2 , y1=-4 , x2=-6 , y2=1

=1-(-4)/2-(-6)

=1+4/2+6

=5/8

-5/8  fraction shows a correct way to set up the slope formula for the line containing (2, -4) and (-6, 1)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

the slope formula for the line containing (2, -4) and (-6, 1) we calculate by plugging the values to the slope formula.

m=1-(-4)/-6-2

m=1+4/-8

m=-5/8

Hence, -5/8  fraction shows a correct way to set up the slope formula for the line containing (2, -4) and (-6, 1)

To learn more on slope of line click:

https://brainly.com/question/14511992

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Answer:

y=5x+6

hope this helps

have a good day :)

Step-by-step explanation:

The slope intercept form for the equation -10x+2y=12 is y= 6+5x

The slope intercept form is a method used to determine the equation of a straight line in the coordinate plane. The equation of a straight line will be that relation which:

The determination of this equation is straightforward. To find the slope intercept form of a straight line, we would need the slope, or the angle of inclination of this straight line from the x-axis and the intercept that it makes with the y-axis.

Given:

-10x+2y=12

As, we know the slope- intercept form is

y= mx +b

Then writing the equation as the slope intercept form

-10x+2y=12

2y = 12 +10x

Divide both side by 2 to make the coefficient as 1.

y= 12/2 + 10x/2

y= 6 + 5x

Hence, the slope intercept form is y= 6+5x

Learn more about slope- intercept form here:

https://brainly.com/question/9682526

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Answer:

Step-by-step explanation:

8

Answer: yeah the other person is right

Step-by-step explanation:

Answer:

$12,600

Step-by-step explanation:

So what i did was i multiplyed 2.1 and 5 then i took that answer and multiplyed that and rounded it ang got $12,600

i hope this is right

Answer:

see below

Step-by-step explanation:   5  30   9   50

This is what I think they are asking for....

the zeroes are x = 0  x = -4    x = 7 twice ??       so

             x(x+4)(x-7)² = 0

when I graphed the function it looked to be correct

Answer:

There is one solution

(2, 2)

Step-by-step explanation:

The solutions are where the line and curve intersect.

The isone point of intersection and therefor one solution (2, 2)

Answer:

answer is b.) one

Step-by-step explanation:

edge 2021

Answer:

3.26794919243

Step-by-step explanation: