Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
95
76
171
Do not play a
sport
45
59
104
A. Yes, they are independent, because P(girl)
a sport) ~0.62
Are being a girl and playing a sport independent events? Why or why not?
B. Yes, they are independent, because P(girl)
a sport) -0.44
Total
C. No, they are not independent, because P(girl) 0.49 and
P(girl plays a sport) ~ 0.62.
140
135
275
0.49 and Pigirl | plays
0.49 and P(girl plays
D. No, they are not independent, because P(girl)-0.49 and
Pigirl plays a sport)~0.44.

Answers

Answer 1

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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Related Questions

I need the answer, help me please

Answers

Perpendicular = opposite sign and reciprocal slope
Y = 3/2x + 1
The slope is 3/2, opposite sign = -3/2 now reciprocal = -2/3
Y = -2/3x + b
Plug in the point (6,-2)
-2 = -2/3(6) + b
-2 = -12/3 + b
-2 = -4 + b, b =2
Solution: y = -2/3x + 2
X=-0.6 or -2/3

Substitute y for 0

multiply both sides of the equation by 2
Move the variable to the left-hand side and change its sign

Divide both sides of the equation by -3

Help me explanation

Answers

Answer:

number 2 - x=50, y =69

Step-by-step explanation:

Angles in a polygon of a pentagon add up to 540

so 180 +125+98+98 = 429

540 - 429 = 111

now you do x = 50 so

2 times 50 which is 100

then plus 11 which is 111

Which triangles are similar to triangle ABC ?

Answers

Answer:

both of em

Step-by-step explanation:


[tex] \sqrt[3]{4( \sqrt[3]{6 + \sqrt[3]{10)} } } [/tex]

Answers

Answer: 77824

Step-by-step explanation:

PLEASE HELP ME FAST, I ASKED THIS ALREADY AND ALL I GOT WAS ONE OF THOSE SCAM LINKS :( IF YOU GIVE AN EXPLANATION I CAN GIVE YOU BRAINLIEST!

Two angle measures in a triangle are 47° and 43°. What type of triangle is it?

Also, I just wanted to say that I can only give brainliest if two people answer. Thank you!

Answers

Answer:

Right triangle

Step-by-step explanation:

Answer:

Right triangle

Step-by-step explanation:

To find the third angle, we add the two known angles.

47 + 43 = 90

The sum of all the angles of a triangle is always 180.

Therefore, we subtract 90 from 180 to find the third, unknown angle.

180 - 90 = 90

Because 90 degrees is the third angle, and 90 degrees is a right angle, this is a right triangle.

2. 48 degrees 17 x
(solve for x. round to the nearest tenth)

Answers

Answer:

67

Step-by-step explanation:

you divide the 48/17 yo get 67

Help with number two please:)

Answers

15
Well 6x3=18
So 5x3=15

A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 60°. What is the distance between the piling and the pier to the nearest foot?

Answers

Answer:

x = 225.16 feet

Step-by-step explanation:

Given that,

The angle between the piling and the pier is 60°.

A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.

We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

[tex]\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet[/tex]

So, the required distance is 225.16 feet.

Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cm

Required:
1. What is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1? a. 14.6 ± 7.00 b. 14.6 ± 7.38 c. 14.6 ± 7.80 d. 14.6 ± 9.62
2. Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses H0: μ2 – μ1 = 0, Ha: μ2 – μ1 ≠ 0. What is the value of the two-sample t statistic?

a. 14.6
b. 3.43
c. 2.54
d. 7.80

3. What can we say about the value of the P-value?
a. P-value < 0.01
b. 0.01 < P-value < 0.05
c. 0.05 < P-value < 0.10
d. P-value > 0.10

4. If you use the 0.05 level of significance, what conclusion would you reach?
a. The evidence is not sufficiently strong to reject the null hypothesis.
b. There is sufficient evidence to reject the null hypothesis.
c. Cannot be determined by the information given.

Answers

Answer:

1. b. 14.6 ± 7.38

2. b. 3.43

3. b. 0.01 < P-value < 0.05

4. b. There is sufficient evidence to reject the null hypothesis.

Step-by-step explanation:

The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.

What is the difference between Independent and Dependent events?

A. In Dependent - each event relies on the event before it.
B. They are the same - independent just means more events are occurring.
C. I. independent - each event relies on the event before it.
D. They are the same - dependent just means more events are occurring.

Answers

C-independ (I think)

Answer:

C is the answer

Step-by-step explanation:

I took the test and got it right

you roll a number cube numbered from 1 to 6. What id the probability that the number is a 3

Answers

Answer:

1 / 6

Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 }

n ( S ) = 6

Let A be the event of getting the number " 3 ".

A = { 3 }

n ( A ) = 1

P ( A ) = n ( A ) / n ( S )

P ( A ) = 1 / 6

Therefore,

the probability that the number 3 is 1 / 6.

Please help quickly: Thanks!
4 1/4 x 2 x 6 = ?

4 1/4 x 2 x 6 x 3/4 = ?

Answers

Answer for the 1st one: 51
Answer for the 2nd one: 38 1/4

3. Given: AE is a tangent of OO
m/FAE = 85
m AB= 40
m BC= 16
m CD= 10
m212=55
mZGAK = 75

Answers

Given: AE is a tangent to circle OO, m/FAE = 85, m AB = 40, m BC = 16, m CD = 10, m 212 = 55, m ZGAK = 75.What is required to be found out?We need to find mEGAP. So, mEGAP = 230/2 = 115.

Solution:According to the Theorem, "If a line is drawn tangent to a circle at the endpoint of a diameter, then the angle formed by the line and the diameter is a right angle."Therefore, the diameter would be OO.Now, we need to find the value of m EGA.From the angle of the segment, we know that a circle is 360 degrees and that an arc is equal to the angle subtended by it.

If 212° = 55°, then arc AKB = 360° - 212° = 148°.

Similarly, we can calculate arc GAC = 360° - 75° = 285°.So, arc AKC = arc AKB + arc GAC = 148° + 285° = 433°.As arcs AKC and KGD are opposite, they are equal.

Therefore, arc KGD = 433°.It is given that the length of arc KGD is 40+16+10 = 66. Therefore, the length of the entire circle is 433/360 x 66 = 80.02.

Most importantly, the value of m EGA is 360° - 75° - 55° = 230°.Therefore, m EGAP = 230/2 = 115.Answer: m EGAP = 115.

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Solve for 0 Round your answer to the nearest tenth.
20
13
A =
degrees

Answers

Answer:

1.835

Step-by-step explanation:

use pythagoras theorem to find missing side

use sin to find missing angle

missing side/13 = 1.835

What is the area of this shape?

Answers

Answer:

720

Step-by-step explanation:


Using a graphical method, solve the quadratic equation:
-X2 - 2x + 3 = 0​

Answers

2-2x+3=0

5-2x=0

-5      -5

-2x=-5

/-2   /-2

x=2.5

---

hope it helps

sorry if I'm wrong

the X confused me

me ayudan por favor?
solo son 10 preguntas abc

Answers

Answer:

hi

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!! IF YOU PUT A LINK YOU WILL BE REPORTED!!!!!!!!!

Answers

Answer:

A. False

B. True

C. True

D. True

Step-by-step explanation:

Hey man good luck that’s all i can say brotha

Solve x + 19 = 47.
Select one:

x = 893

x = 66

x = 28

x = 18

Answers

the answer is 28 hoped that helped

Answer:

x=28 (B)

Step-by-step explanation:

x = 28 (B)

You need to subtract 19 from both sides to get 28.

To find the quotient of 4.082 and 10,000, move the decimal point in 4.082
Choose...
places to the
Choose...
.

Answers

Answer: 2 places to the right

Step-by-step explanation:

If i'm wrong sorry hope it helps

Please help!! I’ll give you brainliest!!
I can even Venmo someone like 5$ if they wanna do it

Answers

Answer:

1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges

Step-by-step explanation:

In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius

The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]

1) The radius is r = 4 which is greater than one so it Diverges.

2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.

3) The radius is 0.5 which is less than 1 so it Converges.

4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.

5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.

The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.

6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.

7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.

to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]

8) plug in given information

[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]

9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.

Hopefully the work I did was right. Have a good one!

Find the value. Show step by step. 0.5 x 0.5 x 0.5=

Answers

Answer:

0.125

Explanation:

0.5 x 0.5 x 0.5 = 0.125

Which of the following expressions could be used to find the area of the larger rectangle?
12 mm
4 mm
48 mm
16 mm
3164 mm2
9(64 mm
9(32 mm)
3(576 mm2

Answers

Answer:

12mm since its supposed to be for larger rectangles

Step-by-step explanation:

Brainliest for correct answer

Answers

Answer:

A

Step-by-step explanation:

From Question 10c, What is DC_{3,1}DC
3,1

Answers

DC₃₁ is the entry of the product DC in row 3, column 1, which you get by computing the dot product of the 3rd row of D and the 1st column of C :

{3, -2} • {1, 4} = 3×1 + (-2)×4 = 3 - 8 = -5

Help please question in the picture

Answers

Answer:

lol no picture attach it please

Step-by-step explanation:

Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below.
What is the mean number of people per residence? Round to one decimal place if needed.

2.0 people per residence
2.5 people per residence
2.8 people per residence
3.5 people per residence

URGENT PLEASE HELP!

Answers

The mean number of people is 2.8 per residence . Which is the correct answer would be an option (C)

What is arithmetic mean?

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the frequency distribution as :

People per residence (x)   Frequency (f)           fx      

          1                                   2                            1 × 2 = 2

          2                                   4                           2 × 4 = 8

          3                                   3                           3 × 3 = 9

          4                                   1                            4 × 1 = 4

          5                                   1                            5 × 1 = 5

          6                                   1                            6 × 1 = 6

Summation of fx = (Σfx) = 2 + 8 + 9 + 4 + 5 + 6 = 34

Total frequency = (Σf) = 2 + 4 + 3 + 1 + 1 + 1 = 12

⇒ Mean = Σfx/Σf

⇒ 34/ 12

⇒ 2.83 ≈ 2.8

Thus, the mean of the frequency distribution is 2.8.

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Answer c

Step-by-step explanation:



Which statement below about the quiz scores is true?

Answers

Answer:

need the whole question .....

Step-by-step explanation:

Answer:

The median score is 80 ;)

Step-by-step explanation:

i'll give brainliest

reflect (-4,4) in the x-axis

Answers

Answer:

(-4,-4)

Step-by-step explanation:

Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.

In this coordinate: (-4,4)

Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).

The new coordinates after being reflected across the x-axis are (-4,-4).

14^-3 x 14^12
positive exponents​

Answers

Answer:

20661046784

Step-by-step explanation:

I couldn't get the pos exponent but hopefully this helps

Other Questions
b. draw a hypothetical demand curve, and illustrate a decrease in quantity demanded on your graph. write a method for the invitation class that returns the name of the host. The following data represent the results from an independent-measures experiment comparing three treatment conditions. Use SPSS to conduct an analysis of variance with a 0.05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments. Treatment A Treatment 8 Treatment C 6 9 12 4 4 10 6 5 8 4 6 11 5 6 9 Fratio= p-value= Conclusion: These data do not provide evidence of a difference between the treatments There is a significant difference between treatments Progress saved Done i Song O OD o not provide evidence of a difference between the treatments There is a significant difference between treatments The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means. For the following data, the scores are the same as above except that the difference between treatments was reduced by moving the third treatment closer to the other two samples. In particular, 3 points have been subtracted from each score in the third sample. Before you begin the calculation, predict how the changes in the data should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the F-ratio from above? Treatment B Treatment C Treatment A 6 9 9. 4 4 7 6 5 5 4 6 8 5 6 6 F-ratio= p-value= Conclusion: There is a significant difference between treatments These data do not provide evidence of a difference between the treatments A fossil contains 18% of the carbon-14 that the organism contained when it was alive. Graphically estimate its age. Use 5700 years for the half-life of the carbon-14. 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People who saw the original movie are often surveyed during the planning phase of sequels to determine "...who are the most intense fans of the movie by age, gender, ethnicity, et cetera, and what drives their zeal." This information helps to guide the sequel.Recently Columbia Tristarinterviewed 800 people who had seen the original thriller "I Still Know What You Did Last Summer". Five hundred of these moviegoers were in the 12 to 24 age group, with 100 in the 9 to 11 group. An additional 200 African-Americans and Latinos were included in the sample, 150 between 12 and 24 years and 50 in the 9 to 11 group. Questions about the original movie pertained to their favorite character, other liked characters, most memorable scene, favorite scene and scariest scene.Before releasing "Disturbing Behavior", MGM/United Artistspreviewed 30-second commercials among 438 people age 12 to 20. 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(Round your intermediate calculations to 2 decimal places.) Straight-line Double-declining-balance Activity-based Depreciation Expense A firm has beginning inventory of 280 units at a cost of $8 each. Production during the period was 740 units at $15 each. If sales were 380 units, what is the cost of goods sold (assume FIFO)? Multipl Then find the optimal point in order to get the maximize profit. Maximize Z=50x + 60y Subject to: x + 2y 40 4x + 3y 120 x 10, y 10.