Helpppppp ASAP!!!!!!!

Answer:

P[2qp] = 0,467      or    46,7 %

Step-by-step explanation:

The probability of two of seven chemistry professors is equal to:

P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore

The total quantity of combinations is:

3 statistics professors + 7 chemistry professors taken in groups of 2 that is:

Te  = (3 + 7) ! / 2!*(10-2)!

Te = 9!/ 2!*5!        ⇒    Te = 9*8*7*6*5!/2!*8!    ⇒ Te = 9*8!/2*8!

Te = 45

And successful events are:

C₇,₂  =  7!/2!*(7-2)!

C₇,₂  = 21

Finally, the probability that both professors are chemistry professors is:

P[2qp] = 21/45

P[2qp] = 0,467      or    46,7 %

The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Three statistics professors and seven chemistry professors are available to be advisors to a student organization.

The student organization needs two of the professors to be advisors.

If each professor has an equal chance of being selected.

The probability that both professors are chemistry professors will be

The total quantity of combinations will be

[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]

And successfull events will be

[tex]\rm F = \ ^7C_2 = 21[/tex]

Then the probability will be

[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

Step-by-step explanation:

Solution:

In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.

This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.

The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.

The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.

The F test for overall significance has two hypotheses:

1- Null hypothesis:

                              The fit of the intercept only model and your model are equal.

2- Alternative hypothesis:

                               The fit of the intercept-only model is significantly reduced compared to your model.

Compare p-value for the F test,

If the p-value is less than the significance level, the sample data provide sufficient evidence  that the regression model fits the data better with no independent variable.

Answer:

True : It is an example of a continuous variable

Step-by-step explanation:

Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.

Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.

On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.

Answer:

C) $5/1 ticket

Step-by-step explanation:

$80 for 16 tickets is $5 for 1 ticket. We can find this by just simply dividing 80/16 together to get 5.

Answer:

h(4) = -28

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

h(n) = -2n² + 4

h(4) is n = 4

Step 2: Solve

Answer:

Yes please i really need it

Step-by-step explanation:

Answer:

nh

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

thats the slope so im assuming :/

Answer:

it could be 14 2/6 units squared

Step-by-step explanation:

idkI don’t know but for area is units squared and for volume it has units cubed

Answer:

War

Step-by-step explanation:

Criminals

Answer:

20/25

Step-by-step explanation:

to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25

Answer:

43

Step-by-step explanation:

Answer:r/8>16

Step-by-step explanation:

r/8-16

It says 16 less, so we have to subtract 16 from r divided by 8.

That would be r/8-16.

Answer:

12.54

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

put one point at (0,3)

put another point at (1,-3)

draw a line between them

Step-by-step explanation:

could u vote me brainliest plz? thx :)

The standard formula for calculating the equation of a line is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept of the line

Given the equation to graph expressed as g(x) = 3 - 6x

First, we need to get the x and y-intercept of the line expressed as:

For the x-intercept, y = 0

0 = 3 - 6x

6x = 3

x = 0.5

The x-intercept is at (0.5, 0)

For the y-intercept, x = 0

y = 3 - 6(0)

y = 3

The y-intercept is at (0, 3)

Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;

Learn more here: https://brainly.com/question/17003809

Answer:

20 hat packs and 12 shirt packs

Step-by-step explanation:

Scout total troops of boys is 60

Hat come in packs is 3 and shirts come packs of 5 .Thus answer to above question 20 hats and 12 shirts at least

Explanation:

At least no of hats -60/3-20

at least no of shirts -60/5-12

Thus we conclude that the total of at least shirts 12 and hats is 20 is true

To know more about  troops

https://brainly.com/question/12539881?referrer=searchResults

Answer:

This is literally me.

Step-by-step explanation:

True.

When you break it down, it's 0.45 compared to 0.50, so 0.5 is greater than 0.45 by 0.05. Also, 0.5 is closer to 0.

Answer:

2 times 8 = 16 divided by 3 leaves a remander of 1

Step-by-step explanation:

The smallest whole number is 22.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

Given:

First find the LCM of 7 and 3 .

LCM = 3 x 7 = 21

So, we will add remainder 1 (as given) to the LCM .

= 21+ 1

= 22

Learn more about LCM here:

https://brainly.com/question/20739723

#SPJ5

Answer:

A

Step-by-step explanation:

is there a need for explanation

Answer:

y=-2x+b

-2=-8+b

6=b

y=-2x+6

so

2x+y=6

Answer:

0.49

Step-by-step explanation:

We apply conditional probability to solve this question.

We have Events X and Events Y

P(X) = Probability Christine fails the course = ??? Unknown

P(Y) = Probability Christine finds a tutor

= 0.35

P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75

P(X|Y) = Decrease in her probability of failing = 0.35

P(X|Y') = Probability that she will fail the course if she does not have a tutor

P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')

P(X) = 0.35 × 0.75 + 0.65 × 0.35

P(X) = 0.2625 + 0.2275

P(X) = 0.49

The probability that Christine fails the course is 0.49

Answer:

0.625

Step-by-step explanation:

15 divided by 24 which equals 0.625

2 sin²(x) + 3 sin(x) + 1 = 0

(2 sin(x) + 1) (sin(x) + 1) = 0

2 sin(x) + 1 = 0   OR   sin(x) + 1 = 0

sin(x) = -1/2   OR   sin(x) = -1

The first equation gives two solution sets,

x = sin⁻¹(-1/2) + 2nπ = -π/6 + 2nπ

x = π - sin⁻¹(-1/2) + 2nπ = 5π/6 + 2nπ

(where n is any integer), while the second equation gives

x = sin⁻¹(-1) + 2nπ = -π/2 + 2nπ

2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0

2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0

(2 sec(x) + 1) (cot(x) + 1) = 0

2 sec(x) + 1 = 0   OR   cot(x) + 1 = 0

sec(x) = -1/2   OR   cot(x) = -1

cos(x) = -2   OR   tan(x) = -1

The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives

x = tan⁻¹(-1) + nπ = -π/4 + nπ

sin(x) cos²(x) = sin(x)

sin(x) cos²(x) - sin(x) = 0

sin(x) (cos²(x) - 1) = 0

sin(x) (-sin²(x)) = 0

sin³(x) = 0

sin(x) = 0

x = sin⁻¹(0) + 2nπ = 2nπ

2 cos²(x) + 2 sin(x) - 12 = 0

2 (1 - sin²(x)) + 2 sin(x) - 12 = 0

-2 sin²(x) + 2 sin(x) - 10 = 0

sin²(x) - sin(x) + 5 = 0

Using the quadratic formula, we get

sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2

but the square root contains a negative number, which means there is no real solution.

2 csc²(x) + cot²(x) - 3 = 0

2 (cot²(x) + 1) + cot²(x) - 3 = 0

3 cot²(x) - 1 = 0

cot²(x) = 1/3

tan²(x) = 3

tan(x) = ± √3

x = tan⁻¹(√3) + nπ  OR   x = tan⁻¹(-√3) + nπ

x = π/3 + nπ   OR   x = -π/3 + nπ

Answer:

Point D

Point D is at 2, the absolute value of -2.

2 is the opposite of -2, and D is at 2.

So, the answer must be option D.

Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

(a) 0.047

(b) 0.613

(c) 0.387

Step-by-step explanation:

In a sample of 1000 U.S. adults 217 think that most celebrities are good role models.

The proportion of U.S. adults who think that most celebrities are good role models is, p = 0.217.

Two U.S. adults are selected from this sample without replacement.

Let X denote the number of U.S. adults who think that most celebrities are good role models.

Both the individuals are independent of each other.

The random variable X follows a binomial distribution with parameters n = 2 and p = 0.217.

The probability mass function of X is:

[tex]P(X=x)={2\choose x}(0.217)^{x}(1-0.217)^{2-x};x=0,1,2[/tex]

(a)

Compute the probability that both adults think most celebrities are good role models as follows:

[tex]P(X=2)={2\choose 2}(0.217)^{2}(1-0.217)^{2-2}\\=1\times 0.047089\times 1\\=0.047[/tex]

Thus, the probability that both adults think most celebrities are good role models is 0.047.

(b)

Compute the probability that neither adult thinks most celebrities are good role models as follows:

[tex]P(X=0)={2\choose 0}(0.217)^{0}(1-0.217)^{2-0}\\=1\times 1\times 0.613089\\=0.613[/tex]

Thus, the probability that neither adult thinks most celebrities are good role models is 0.613.

(c)

Compute the probability that at least one of the two adults thinks most celebrities are good role models  as follows:

[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-0.613\\=0.387[/tex]

Thus, the probability that at least one of the two adults thinks most celebrities are good role models  is 0.387