what expression represents the area of the triangle​

Answer:

The impact on the objective function is that it is increased by 50.

Step-by-step explanation:

In this case we have that the value of the objective function is 150, and they tell us that 10 more units of resource one are added, but they tell us that the shadow price ranges from 1 to 5, therefore:

10 * 5 = 50

Which means that the impact on the objective function is that it is increased by 50.

Answer:

B ). IF = IT

Step-by-step explanation:

IG is perpendicular to FT, means that the line IG divides the line FT into two equal parts without remainder.

Line IG does not only divide line FT, it also bisect the arc FT into two equally parts also.

It also divide the segment of the circle FIT into two equal parts.

So to the correct answer to the question, IF = IT

the answer is the bottom left option

Answer:

the greatest common factor of this is 3

Answer:

[tex]296.693\leq x\leq 319.307[/tex]

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

[tex]x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }[/tex]

Where x' is the sample mean, s is the population standard deviation, n is the sample size and [tex]z_{\alpha /2}[/tex] is the z-score that let a proportion of [tex]\alpha /2[/tex] on the right tail.

[tex]\alpha[/tex] is calculated as: 100%-99%=1%

So, [tex]z_{\alpha/2}=z_{0.005}=2.576[/tex]

Finally, replacing the values of x' by 308, s by 17, n by 15 and [tex]z_{\alpha /2}[/tex] by 2.576, we get that the confidence interval is:

[tex]308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307[/tex]

Answer:

(a) Yes, Fredrick’s data set contains an outlier.

(b) No, the median value is not 12 home runs.

(c) Yes, the mean value is about 12.6 home runs.

(d) Yes, the median describes Fredrick’s data more accurately than the mean.

(e) No, the mean value doesn't stay the same when the outlier is not included in the data set.

Step-by-step explanation:

We are given that Fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play.

Firstly, arranging our data set in ascending order we get;

1, 12, 12, 12, 13, 13, 14, 15, 16, 18.

(a) The statement that Fredrick’s data set contains an outlier is true because in our data set there is one value that stands out from the rest of the data, which is 1.

Hence, the outlier value in the data set is 1.

(b) For calculating median, we have to first observe that the number of observations (n) in the data set is even or odd, i.e;

                    Median  =  [tex](\frac{n+1}{2})^{th} \text{ obs.}[/tex]

                    Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations in Fredrick's data set is even, i.e. n = 10.

SO,  Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                      =  [tex]\frac{(\frac{10}{2})^{th} \text{ obs.}+(\frac{10}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                      =  [tex]\frac{(5)^{th} \text{ obs.}+(6)^{th} \text{ obs.} }{2}[/tex]

                      =  [tex]\frac{13+13 }{2}[/tex]  = 13 home runs

So, the statement that the median value is 12 home runs is not correct.

(c) The mean of the data set is given by;

          Mean =  [tex]\frac{1+ 12+ 12+ 12+ 13+ 13+14+ 15+ 16+ 18}{10}[/tex]

                     =  [tex]\frac{126}{10}[/tex]  = 12.6 home runs

So, the statement that the mean value is about 12.6 home runs is correct.

(d) The statement that the median describes Fredrick’s data more accurately than the mean is correct because even if the outlier is removed from the data set, the median value will remain unchanged but the mean value gets changed.

(e) After removing the outlier, the data set is;

12, 12, 12, 13, 13, 14, 15, 16, 18.

Now, the mean of the data =  [tex]\frac{12+12+ 12+ 13+ 13+ 14+ 15+ 16+ 18}{9}[/tex]

                                             =  [tex]\frac{125}{9}[/tex]  =  13.89

So, the statement that the mean value stays the same when the outlier is not included in the data set is incorrect.

Answer:

Fredrick’s data set contains an outlier.

The mean value is about 12.6 home runs.

The median describes Fredrick’s data more accurately than the mean.

Step-by-step explanation:

Answer:

a-The mean age and median age are unchanged.

Step-by-step explanation:

By adding the same you are subtracting, the sum of the ages remains the same. Therefore, the mean remains the same since you are dividing the same total of ages by the same number of people.

The middle number continues to be the middle number, so the median also does not change.

Try an example.

The ages are 30, 40, 50, 60, 70

Mean = (30 + 40 + 50 + 60 + 70)/5 = 250/5 = 50

Median: 50

Now add 10 to the greatest value and subtract 10 from the least value.

The ages now are 20, 40, 50, 60, 80

Mean = (20 + 40 + 50 + 60 + 80)/5 = 250/5 = 50

Median: 50

As you can see, both the mean and the median did not change.

Answer: a-The mean age and median age are unchanged.

Answer:

The mean age and median age are unchanged

Step-by-step explanation:

The median will not change when we alter the lowest and highest values so we can eliminate the answers that say the median changes

The mean is found by adding the values together and dividing by the number of values

If we add 10 and subtract 10, we have not changed the total value before dividing, so the mean does not change

Answer:

1234567891234567890

Answer: 25 years

Step-by-step explanation:

t = I / Pr

t = 5700 / ( 3800 × 0.06 ) = 25

t = 25 years

Answer:

1 1/2 > - 4 1/2  and                                                                                                      Manuela scored more points against the Canada Moose than against the China Dragons.

Answer:

the expected value EV = −$0.65

Step-by-step explanation:

Expected value EV = expected gain - expected loss

Given;

Cost of a ticket L = $1

Probability of losing the ticket P(L)= 999/1000 = 0.999

Cost of a flat screen TV = $350

Expected gain G = $350 - $1 = $349

Probability of winning the TV P(G) = 1/1000 = 0.001

EV = G × P(G) - L × P(L)

Substituting the values;

EV = $349 × 0.001 - $1 × 0.999

EV = −$0.65

the expected value EV = −$0.65

Answer:

1/17

Step-by-step explanation:

There are 13 diamond cards in a standard 52-card deck.

First drawing:

13 diamonds

52 total cards

After the first drawing you already took a diamond, so there are 12 diamonds left out of 51 total cards.

p(diamond and diamond) = 13/52 * 12/51 = 1/4 * 4/17 = 1/17

Answer:

b. 14

Step by step explanation:

Answer:

28π cm²

Step-by-step explanation:

Circumference Formula: C = 2πr

Simply plug in r into the formula:

C = 2π(14)

C = 28π or 87.9646

Answer:

28π cm

Step-by-step explanation:

The circumference of a circle has the formula 2πr.

2 × π × r

Where r is the radius.

2 × π × 14

28 × π

= 28π

The circumference is 28π and the unit is centimeters.

Answer:

[tex]\bar X=\frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

And replacing we got:

[tex] \bar X= 58.33[/tex]

[tex]s= 10.78[/tex]

Then we can fin the limits for one deviation within the mean like this:

[tex]\mu -\sigma = 58.33-10.78= 47.55[/tex]

[tex]\mu -\sigma = 58.33+10.78= 69.11[/tex]

And then we see that the number of values between the limits are: 69, 64, 54,47 who represent 4 and then the percentage would be:

[tex]\% =\frac{4}{6}*100 =66.7\%[/tex]

Step-by-step explanation:

First we need ot calculate the mean and deviation with the following formulas:

[tex]\bar X=\frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

And replacing we got:

[tex] \bar X= 58.33[/tex]

[tex]s= 10.78[/tex]

Then we can fin the limits for one deviation within the mean like this:

[tex]\mu -\sigma = 58.33-10.78= 47.55[/tex]

[tex]\mu -\sigma = 58.33+10.78= 69.11[/tex]

And then we see that the number of values between the limits are: 69, 64, 54,47 who represent 4 and then the percentage would be:

[tex]\% =\frac{4}{6}*100 =66.7\%[/tex]

Answer:Priya ran 19 miles last week

Step-by-step explanation:

4 x 3 = 12

12 + 7 = 19

Step-by-step explanation:

might be option c is a correct answer of your given question

Answer:

There is 9 on each pace and 3 on a row

Step-by-step explanation:

54/6=9

if there is 9 on each side and the same on each side, then it has to be 3 in each row and column. Also, this is a Rubix cube

Please give me brainliest, it really helps! :)

Have a good day!

Answer:

Step-by-step explanation:

[tex] - \frac{1}{2} + c = \frac{31 }{4} \\ \\ c = \frac{31}{4} + \frac{1}{2} = \frac{31 - 2}{4} \\ \\ c = \frac{29}{4} [/tex]

Hope this helps you

Answer:

The 20th digit is 6.

Step-by-step explanation:

1. Add 2/9 and 1/7.

2/9 + 1/7 = 23/63

2. Convert to a decimal.

23 ÷ 63 = 0.365079...

If you continue to divide, you will notice that the number repeat. So, the decimal would be 0.365079365079...

3. Find the 20th digit.

0.365079365079365079365079

Answer:

6

Step-by-step explanation:

Aops question

We have $\frac29 + \frac17 = \frac{14}{63} + \frac{9}{63} = \frac{23}{63}$. Expressing $\frac{23}{63}$ as a decimal using long division, we find $\frac{23}{63}=0.\overline{365079}$. Therefore, every 6th digit after the decimal point is a 9. So, the 18th digit is a 9; the 20th digit is 2 decimal places later, so it is a $\boxed{6}$.

It's in Latex

Answer:

B. because A and B cannot occur at the same time.

Step-by-step explanation:

If two events are mutually​ exclusive, why is ​? Choose the correct answer below.

A. because A and B each have the same probability.

B. because A and B cannot occur at the same time.

C. because A and B are independent.

D. because A and B are complements of each other.

Answer:

a. Let the variable be [tex]x[/tex] for the fundraising activities and [tex]M[/tex] as the revenue for foundation.

b. [tex]M =0.60x[/tex]

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable [tex]x[/tex] to represent the money earned during fundraising activities and [tex]M[/tex] for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

[tex]M = 60\%\ of\ x\\OR\\M = 0.6x[/tex]

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

[tex]M = 0.6 \times 72\\\Rightarrow \$43.2[/tex]

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

[tex]850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67[/tex]

So, the answers are:

a. Let the variable be [tex]x[/tex] for the fundraising activities and [tex]M[/tex] as the revenue for foundation.

b. [tex]M =0.60x[/tex]

c. $43.2

d. $1416.67

Step-by-step explanation:

2x+y=15x-y=3

then u group like terms

2x-15x= -y+y=3

then ur answer

13x=3

Answer:

D

Step-by-step explanation:

jtrsytexjgfcgvhjbkjnhgfdsasdfghjhgrertyu

Answer:

Correct answer is D

Step-by-step explanation:

Answer:

[ 5.456, 5.544]

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 5.5 ounces

Standard deviation r = 0.2 ounces

Number of samples n = 80

Confidence interval = 95%

z value (at 95% confidence) = 1.96

Substituting the values we have;

5.5+/-1.96(0.2/√80)

5.5+/-1.96(0.022360679774)

5.5+/-0.043826932358

5.5+/-0.044

= ( 5.456, 5.544) ounces

Therefore the 95% confidence interval (a,b) = ( 5.456, 5.544) ounces

The division -240 by 8 gives the quotient is -30.

The division is one of the four introductory fine operations, the other three being addition, deduction, and addition. In simple words, division can be defined as the splitting of a large group into lower groups similar that every group will have an equal number of particulars. It's an operation used for equal grouping and equal sharing in calculation.

We have to divide -240 by 8.

So, the division is

                              8 | -240 | 30

                                     24

                                    ____

                                      00

Thus, the quotient is -30.

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ2

Answer:

9/49

Step-by-step explanation:

The probability of landing on an even number is 3/7.

Because there are only 3 numbers even out of 7 total numbers.

[tex]3/7 \times 3/7[/tex]

[tex]= 9/49[/tex]

Answer:

0.181818

Step-by-step explanation:

There are total 11 candies. The possibility of combinations is 165 which is found by using computation technique 11C3. It is assumed that order does not matter. There are 3 pieces of candy are selected at random. There are 6C2 which is 15 different ways to select cherry and lemon. There are 30 ways to choose 2 cherry and a lemon combination. The probability is [tex]\frac{30}{165}[/tex] = 0.181818

Answer:

Use the formula

a

n

=

a

1

r

n

−

1

to identify the geometric sequence.

Step-by-step explanation:

a

n

=

64

4

n

−

1 hope this helps you :)

Answer: The answer is in the steps.

Step-by-step explanation:

f(1)= 64  

f(n)=1/4(n-1)      n in this case is the nth term.

Answer:

true

Step-by-step explanation:

it is so because they are brother and sister

And in the chapter there is that they had farm with a new barn

if in your book lesson there is that they had no farm with a new barn then there will be false

Now did you understood?

Answer:

True

Step-by-step explanation:

Hey there! :)

Answer:

75.4 cm.

Step-by-step explanation:

Formula for the circumference of a circle:

C = 2rπ

Given:

r = 12 cm

Plug this value of r into the equation:

C = 2(12)π

C = 24π

Multiply by π (3.14)

24 × 3.14 = 75.36 cm

Round to nearest tenth:

75.36 ≈ 75.4 cm.

Answer: B

Step-by Step: C=2n

r= 2•n•12= 75.39822

You round it to the nearest tenth, it would be 75.4