Consider the function k(x)=x/5-3. Find k(-20).

Therefore, there is a 68.75% chance that Reese will win at least two of his next four games, assuming that each game is independent and has a 50-50 chance of winning.

Assuming that each game is independent and has a probability of winning of 0.5 (since there are two cups and Reese has a 50-50 chance of choosing the correct one), we can model Reese's wins in four games as a binomial distribution with n=4 and p=0.5.

The probability of Reese winning at least two games can be calculated as the sum of the probabilities of winning two, three, or four games. We can use the binomial probability formula or a binomial probability calculator to find these probabilities:

\(P(X=2) = 6/16 = 0.375\)

\(P(X=3) = 4/16 = 0.25\)

\(P(X=4) = 1/16 = 0.0625\)

So, the probability of Reese winning at least two of his next four games is:

\(P(X\geq 2) = P(X=2) + P(X=3) + P(X=4) = 0.375 + 0.25 + 0.0625 = 0.6875\)

Therefore, there is a 68.75% chance that Reese will win at least two of his next four games, assuming that each game is independent and has a 50-50 chance of winning.

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Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

Answer:

Convenience sampling

Step-by-step explanation:

When a researcher gives more credence to ease when performing its sampling procedure, such sampling process may be referred to as convenience sampling. As described in the scenario above, rather than having to take a Systematic approach at examining the population so as to decide on the best sampling strategy to employ, the reporter of the student newspaper decides to take the easy path towards gathering the opinion of students by interviewing the first 12 students who are willing to give their opinion without any further consideration. Here, the reporter failed to eliminate any sort of possible bias which may be present, as all was sacrificed for the sake of convenience or ease.

The number of shoes that have to be purchased until both companies earn the same amount is 21.

Based on the information, the profit rates for Nike and Adidas are illustrated as:

Nike -2 (x - 2)

Adidas -17 + x

In this case, x represents the number of shoes purchased,

The number of shoes that have to be purchased until both companies earn the same amount will. be:

2(x - 2) = 17 + x.

2x - 4 = 17 + x

2x - x = 17 + 4

x = 21

The number of shoes will be 21.

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Answer:

to figure out the answer / an assignment of values to the variables

Step-by-step explanation:

Answer:

30 R 20

Step-by-step explanation:

Step-by-step explanation:

The complete frequency distribution table for the data has been attached to this response.

The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear 9 times in the data. Also, the numbers in the range 3 - 5 appear  6 times. The same logic applies to other ranges.

The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.

So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e

9 / 38 = 0.24

Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e

6 / 38 = 0.16

Do the same for the other ranges.

if triangle ABC is translated 5 units down, the image's coordinates are A′(1, 7), B′(9, 7), and C′(5, 3).

The x and y coordinates of each of a triangle's vertices must be added to or subtracted from to translate the triangle on a coordinate plane.

Triangle ABC must be translated five units lower in this situation. Thus, we must deduct 5 from the y coordinates of each of its vertices.

A(1, -2) changes to A' (1, -7) B(9, -2) changes to B' (9, -7) C(5, 2) changes to C' (5, -3)

As a result, if triangle ABC is translated 5 units down, the image's coordinates are A′(1, 7), B′(9, 7), and C′(5, 3).

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Answer:

the slope is 1.75

Step-by-step explanation:

Interpretation: The weight of newborn is 6 lb at birth, and every month baby gained 1.75 lb. You replace x with month you want to know the weight.  For example you can calculate the weight after 4 month : w= 1.75(4)+6= 13 lb

Answer:

6371. six thousand three hundred and seventy-one

Answer:

4x-2

Step-by-step explanation:

First, distribute the minus sign.

-2x+3-(5-6x)

-2x+3+ -1(5)+ -1(-6x)

-2x+3+ (-5) + (6x)

-2x+3-5+6x

Next, combine like terms.

-2x+3-5+6x

(-2x+6x)+(3-5)

4x+(-2)

4x-2

Answer:

4x - 2

Step-by-step explanation:

-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )

-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)

4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)

4x -2( After that subtract 3-5 ad the answer is -2)

THE FINAL ANSWER BECOMES 4x - 2

HOPE IT HELPED

Answer:

f(x) = ( 1/3) ^ (x)

Step-by-step explanation:

The function is

f(x) = (1/3) ^ (x)

When x = 1  f(x) = 1/3

when x=2    f(x) = 1/9

When x = -1  f(x) = ( 1/3) ^ -1 = 3/1 =3

Answer:

f(x)=(1/3)^x

Step-by-step explanation:

Plug in the given values of x in the function above and match the answers with f(x) which is y.

The solution is, s = 273

Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length.

here, we have,

r=7m

theta = 39°

we know, s= r*theta

i.e. s = 273

hence, The solution is, s = 273.

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Answer:

33%

Step-by-step explanation:

decimal x 100

Answer:

so basically, It has helped create new businesses. It has shaped the character of the country.  It has given us benefits that other countries do not have.

Answer:

A,D, and E

Step-by-step explanation:

just answered the question

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

The simplification of the given expression would be; 4x/7 + 2y /7 + 5.

Simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as  5/7 x + 2/7 y − 2 − 1/7 x + 7

Thus,

5/7 x + 2/7 y − 2 − 1/7 x + 7

Combine the like terms first;

5/7 x  − 1/7 x + 2/7 y − 2+ 7

Then solve the like terms;

(5 -1)x/7 + 2y /7 + 5

4x/7 + 2y /7 + 5

Therefore, the simplification of the given expression would be; 4x/7 + 2y /7 + 5.

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Answer:

first do 58-4 which is 54 then do 54/ 9 which is 6 so the number is 6

Answer:

6

Step-by-step explanation:

58 - 4 = 54

54/9 = 6 (because 9 x ? = 54)

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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The number of tiles is 96

From the question, we have

The width of the room is 16 feet, 8 inches and the client has chosen a square tile that measures 4 inches on each side.

16 feet = 192 inches

Number of tiles = (192*8)/(4*4)

= 96 tiles

The number of tiles is 96.

Multiplication:

The product of two or more numbers is computed by mathematicians using multiplication. In everyday life, it is a basic mathematical operation that is frequently used. We employ multiplication when we must combine groups of like sizes. The operation of multiplication serves as a representation of the fundamental idea of adding the same number repeatedly. The product of two or more numbers is what is obtained when those numbers are multiplied, and the factors are the quantities that are multiplied. Multiplying the numbers simplifies the process of adding the same number repeated.

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Answer:

sure what is it

Step-by-step explanation:

Well, it depends on the question!!

(comment it if you need me to answer it)

Answer:

in 1,2 options they r in exponential form

in 4,option also, we can write it as xpower1/2 so this also in exponential form

but in third option y=x there is no exponential form

As the p-value of the test, of 0.0002, is less than the significance level of 0.05, the information provide strong evidence for concluding that the company is not filling its bottles as advertised.

At the null hypothesis, it is tested if the tablets are filled as advertised, that is, the mean is of 5 grains, hence:

\(H_0: \mu = 5\)

At the alternative hypothesis, it is tested if the tablets are not filled as advertised, that is, if the mean is less than 5 grains, hence:

\(H_1: \mu < 5\)

The equation for the test statistic is defined as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

In which the parameters are given as follows:

The values of these parameters for this problem are given as follows:

\(\overline{x} = 4.87, \mu = 5, s = 0.35, n = 100\)

Hence the test statistic is of:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{4.87 - 5}{\frac{0.35}{\sqrt{100}}}\)

t = -3.71.

Using a t-distribution calculator, with a left-tailed test, as we are testing if the mean is less than a value, with 100 - 1 = 99 df, the p-value of the test is of:

0.0002.

Hence the information provide strong evidence for concluding that the company is not filling its bottles as advertised.

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Answer:

1(A)X=3/12

=1/4

1(B)X=14-10

=4

1(C)X=24/6

=4

1(D)X=8+4

=12

2 NO

=He got that answer by dividing $40 by 8

Step-by-step explanation:

Hope it helps u!!

Answer:

7640

Step-by-step explanation:

You get this answer because 642 is closer to 640 than 650