4
Which of the following is a function?
А
B
C
D

Answer:

0.45 = 45% probability that the member uses the golf course but not the tennis courts

Step-by-step explanation:

I am going to solve this question using the events as Venn sets.

I am going to say that:

Event A: Uses the golf courses.

Event B: Uses the tennis courts.

5% use neither of these facilities.

This means that [tex]P(A \cup B) = 1 - 0.05 = 0.95[/tex]

75% use the golf course, 50% use the tennis courts

This means, respectively, by:

[tex]P(A) = 0.75, P(B) = 0.5[/tex]

Probability that a member uses both:

This is [tex]P(A \cap B)[/tex]. We have that:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

So

[tex]P(A \cap B) = 0.75 + 0.5 - 0.95 = 0.3[/tex]

What is the probability that the member uses the golf course but not the tennis courts?

This is [tex]P(A - B)[/tex], which is given by:

[tex]P(A - B) = P(A) - P(A \cap B)[/tex]

So

[tex]P(A - B) = 0.75 - 0.3 = 0.45[/tex]

0.45 = 45% probability that the member uses the golf course but not the tennis courts

Step-by-step explanation:

[tex](6) + \frac{1}{2} (10 + 8)[/tex]

[tex]6 + \frac{1}{2} (18)[/tex]

[tex]6 + \frac{18}{2} [/tex]

[tex]6 + 9[/tex]

[tex]15[/tex]

Answer:

15

Step-by-step explanation:

Answer:

25.5

Step-by-step explanation:

4 x 51 / 8

204/8

25.5

Answer:

Step-by-step explanation:

4×15/8 = 4×(1+⅞) = 4×1 + 4×⅞ = 4 + 7/2 = 4 + 3.5 = 7.5

Answer:625 dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{$\therefore$ the system of linear equation has only one solution}[/tex]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Since [tex]M = 75, T = 2.898, n = 18[/tex]

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]

[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]

[tex]s = 109.7992[/tex]

The sample standard deviation is of 109.7992 calories.

Given :

Number of methods, k = 3

Number of the observations, n = 30

Degrees of freedom Treatment = k - 1

                                                     = 3 - 1 = 2

Degrees of freedom for error = n - k

                                                 = 30 - 3 = 27

[tex]$SSTR = 4560, \ SST = 10800$[/tex]

[tex]$SSE = SST - SSTR$[/tex]

       = 10800 - 4560

       = 6240

[tex]$SSE_{treatment} = MS_{treatment } \times DF_{treatment}$[/tex]

[tex]$MS_{treatment} = \frac{4560}{2}=2280$[/tex]

[tex]$MS_{error}=\frac{SSE_{error}}{DF_{error}}$[/tex]

             [tex]$=\frac{6240}{27}=231.1$[/tex]

[tex]$F=\frac{MS_{treatment}}{MS_{error}}$[/tex]

  [tex]$=\frac{2280}{231.1}=9.865$[/tex]

Source variation   Sum of square  Degrees of freedom  Mean square     F

Treatment                   4560                          2                         2280       9.8653

Error                            6240                         27                   231.11111111

Total                            10800

The critical value of F for the 0.05 sig level and df (227) is 3.354

Since the test stat > critical value of F, so we reject null hypothesis and state that there is a significant difference in the means of the three assembly methods.

Answer:

0.1

0.3

0.22

0.38

Step-by-step explanation:

Answer:

1ST BOX Picking a Comedy movie

2ND BOX picking a science  fiction movie

3RD BOX picking a dramatic movie

LAST BOX Picking a romantic movie

Step-by-step explanation:

I took the test

Answer:

.375 which is 3/8

Step-by-step explanation: If you meant the mixed fraction 2 1/4 divided by 6 then that is the answer! 2 1/4 =2.25 and divide it by 6 and you get 0.375

Answer:

3/8

Step-by-step explanation:

convert mixed numbers to improper fractions

21/4 = 9/4

convert element to fraction

6=6/1

9/4 divided by 6/1

apply the fraction rule (hope you're familiar)

9/4 * 1/6

cross- cancel common factor 3

3*1 = 3

4*2 = 8

multiply the numbers

3/ 4*2

3/8

Answer: x*.2

Step-by-step explanation:

When you are trying to find the sale price you want to multiply the origanal price of the cellphone to the percentage you are getting off. Hope this helped!

Answer:

2

Step-by-step explanation:

because 2 square is 4 then that was needed for the other squares but this one is doubled

Ok. So if 42 % is apple, then 63 = 42%.

You can divide it by 42 to get 1%

63 / 42 = 1.5

Than times by 100 to get 100%

100% = 150.

150 Muffins per day

Answer:

15x + 7

Step-by-step explanation:

i set this up

8x + 16 + 7x -9

the next step is to combine like terms

8x + 7x = 15x

16 - 9 = 7

15x = 7

15x + 7

Answer:

it should be 20 i hope it helps but im nt 100% sure

Step-by-step explanation:

Answer:

Prime Factors is a  factor of a given integer which is also a prime number.

Answer:

A  

Step-by-step explanation:

6n=150

Answer:

This answer is on quizlet

Step-by-step explanation:

Answer:3255.20

Step-by-step explanation:

First, calculate the interest using the APR in decimal form (divided by 12) and the average daily balance.

Interest =0.27612×$2,400=$55.20

Then add the interest to the unpaid balance.

Total Balance =$3,200+$55.20=$3,255.20

5x+3=3x+10 the first thing we're going to do it to subtract 3 from both sides which would look like this

5x+3-3x=10 (the minus because it changed place)

from 5x and 3x we get 2x so the next step is 2x=10-3 which is 7

so now we have

2x=7

x=7/2

Answer:

x=3

Step-by-step explanation:

5x+4 = 3x+10

2x = 6

therefore, x = 3

Verification:

5 * 3 + 4 = 3 * 3 + 10

15+4 = 9+10

19=19

Therefore, LHS= RHS

Hence Proved!

Answer:

2nd option is the correct answer

Step-by-step explanation:

Oscillating powerful magnets within wire coils.

Answer:

Step-by-step explanation:

I think it's got to be coal because the power plants always have like smoke and d is the only one that burns something

Answer:

0.5 = 50% probability that he or she is not in any of the language classes.

Step-by-step explanation:

We treat the number of students in each class as Venn sets.

I am going to say that:

Set A: Spanish class

Set B: French class

Set C: German class

We start building these sets from the intersection of the three.

In addition, there are 2 students taking all 3 classes.

This means that:

[tex](A \cap B \cap C) = 2[/tex]

6 that are in both French and German

This means that:

[tex](B \cap C) + (A \cap B \cap C) = 6[/tex]

So

[tex](B \cap C) = 4[/tex]

4 French and German, but not Spanish.

4 that are in both Spanish and German

This means that:

[tex](A \cap C) + (A \cap B \cap C) = 4[/tex]

So

[tex](A \cap C) = 2[/tex]

2 Spanish and German, but not French

12 students that are in both Spanish and French

This means that:

[tex](A \cap B) + (A \cap B \cap C) = 12[/tex]

So

[tex](A \cap B) = 10[/tex]

10 Spanish and French, but not German

16 in the German class.

This means that:

[tex](C - B - A) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 16[/tex]

[tex](C - B - A) + 2 + 4 + 2 = 16[/tex]

[tex](C - B - A) = 8[/tex]

8 in only German.

26 in the French class

[tex](B - C - A) + (A \cap B) + (B \cap C) + (A \cap B \cap C) = 26[/tex]

[tex](B - C - A) + 10 + 4 + 2 = 26[/tex]

[tex](B - C - A) = 10[/tex]

10 only French

28 students in the Spanish class

[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 16[/tex]

[tex](A - B - C) + 10 + 2 + 2 = 28[/tex]

[tex](A - B - C) = 14[/tex]

14 only Spanish

At least one of them:

The sum of all the above values. So

[tex](A \cup B \cup B) = 14 + 10 + 8 + 10 + 2 + 4 + 2 = 50[/tex]

None of them:

100 total students, so:

[tex]100 - (A \cup B \cup B) = 100 - 50 = 50[/tex]

(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?

50 out of 100. So

50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.

Answer:

I think question is not proper

you should check it again

hope your day will fine

Answer:

Whatttt

Step-by-step explanation:

Answer:

1 28

2 14

4 7

Step-by-step explanation:

7 4

14 7

28 1

...........

Answer:72.603

Step-by-step :

70 + 2 + 6 ÷ 10 + 3 ÷ 1000

=72.603

Answer:

C. Preform calculations on my own and compare them to Roberto’s.

Step-by-step explanation:

His calculations do not match the line plot. He doesn’t account for every mark on the plot.

Answer:

x = 136°

y = 44°

Step-by-step explanation:

x + 44° = 180° (Adjacent angles of a parallelogram)

x = 180° - 44°

x = 136°

y = 44° (Opposite angles of a parallelogram)

Answer:

A. 96

Step-by-step explanation:

By using slope formula we got that  average rate of change of the function over the interval [1, 3] is 48 .

the rate at which one variable of a function changes in relationship to another variable  is called average rate of change.

Here we can see in graph that

when x =1 y=12

and when x= 3 ,y=108

Now we know that rate of change is same as slope of straight line passing through that points

So average rate of change can be calculated as

[tex]=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]=\frac{108-12}{3-1}\\\\[/tex]

[tex]\frac{96}{2}[/tex]

=48

By using slope formula we got that  average rate of change of the function over the interval [1, 3] is 48 .

To learn more about rate of change visit :https://brainly.com/question/8728504