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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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Answer:

31.42 in.

Step-by-step explanation:

the formula for circumference of a circle is 2 x pi x r(radius).

by inserting the number 5 into the formula, we get approximately 31.42 inches.

Answer:

about 31.42 inches

Step-by-step explanation:

2 pi r = 2 × pi × 3 = 31.41593 inches

i think i did the math right

Answer:

4 i think

Step-by-step explanation:

If you fold this figure some times it should get it evenly

Answer:

1/10?

Step-by-step explanation:

okay...

Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Step-by-step explanation:

Confidence interval for mean: Mean ± Margin of error

Given: The  online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5  dollars.

A confidence interval for the mean cost (in dollars) for one shipment of vases

[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]

Hence,  a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Answer:

It's a scalene triangle

Step-by-step explanation:

There are different types of triangle

The equilateral triangle which has all sides and angle equal i.e 60 degrees each

The isosceles triangle which has two sides and two angle equal

The right angle triangle which has an angle of 90 degrees

Scalene triangle which all the sides and angle are of different sizes

Answer:

8 + j = 35

subtract 8 from both sides

j = 27

Step-by-step explanation:

Answer:

25

200 divided by 8 is 25.

Step-by-step explanation:

Answer:

I think it's 4.5

Step-by-step explanation:

I divided the servings by the packages and I got 4.5 for each of them.

Answer:

H1 : p < 0.23

Step-by-step explanation:

The parameter percentage Given in the scenario above is 23%;

Proportion = 23/100 = 0.23

The null hypothesis ; H0 will support the claim ; Hence, H0 is expressed as ;

H0 : p = 0.23

Thw alternative hypothesis ; will negative the claim of the null hypothesis ; Hence, H1 will be ;

H1 : p < 0.23

Answer: 0.62

Step-by-step explanation: I got the answer

The probability that the next customer will pay with cash is 0.62

"It is finding out the possibilities of the occurrence of an event."

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

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

in the last week 80 customers paid cash, 45 customers used a debit card, and 4 customers used a credit card.

So, the total number of customers:

⇒ n(S) = 80 + 45 + 4

⇒ n(S) = 129

Let event A: the next customer will pay with cash

n(A) = 80

So, the probability that the next customer will pay with cash would be,

⇒ P(A) = n(A)/n(S)

⇒ P(A) = 80/129

⇒ P(A) = 0.62

Therefore, the probability that the next customer will pay with cash is 0.62

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1. You can find what the cheapest and most expensive card is.

2. You could find what percent of the people on your cards are brunettes.

You could also find what the average strikes for a team.

You're welcome

Answer:

All except irrational apply to the number 48

Answer:

A. 15

B. 25.6

C. 41.6

Step-by-step explanation:

You need to divide

Answer:

1. quarter turn 2. B 3. (b,-a)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

a =8

x = -10

(-3)(a +x)

(-3)(8 - 10)

(-3)(-2)

6

Answer:

235.65 cm^2s-1

Step-by-step explanation:

We have that;

Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule

Note that dr/dt = rate of change of radius

But

A = πr^2

dA/dr = 2πr

dr/dt = 2.5cm s-1 (given)

So;

dA/dt =  2πr * 2.5cm s-1

r = 15cm (given)

dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1

dA/dt = 235.65 cm^2s-1

Answer:

12

Step-by-step explanation:

2x + 51 = 6x +3

48 = 4x

x = 12

Answer:

2091 grams

Step-by-step explanation:

1000 g = 1kg

2*1000 = 2000g + 91g = 2091 g

Answer:

2kg 91 g = _2091_ g

Step-by-step explanation:

Conversion factor: 1 kg = 1000 g

1) kg = g / 1000

2) kg = 2091 / 1000

3) kg = 2.09

Answer:

D. 203

Step-by-step explanation:

volume= width X height X length

volume= 8 X 7 1/4 X 3 1/2

volume= 203

Answer: -330 + 22d

Step-by-step explanation:

Apply distributive law: a(b-c)=ab-ac

Answer:

[tex]-330+22d[/tex], or the other way around

Step-by-step explanation:

[tex]-11*30=-330[/tex]

[tex]-11*-2d=22d[/tex]

Answer:

It's 48

Step-by-step explanation:

The entire area of the rectangle would be length times width

The width is six, and the length is 8

6 times 8 is 48

btw, its asking for area

Answer:

See, its divided into TWO squares/rectangles.

you have to solve with the numbers you have on each one.

so, for the covered in shade one, you do 6 times 2, which is 12.

for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.

for that one you do 6 times 6 which is 36.

now you add both of them.

36 + 12= 48.

You added them, you need to multiply them but do not mix both rectangles/ squares numbers  until the end

Answer:

1》Arc ZWX=180+35=215

2》m<0=2×m<R

m<0=2×37

m<0=74

Hope it helps...

explanation is not right answer but I tried...would u give this a like....don't star it tho....I stopped midway....I thought in first question measure meant length of arc...not angle

Anyway first question actual answer = 180+35= 215°

second question answer= 2*37= 74 (The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference)

Step-by-step explanation:

ANSWER IS WRONG SO DONT CHECK

Angle of half circle is 180°

so <WCX + <XCY + <YCZ = 180°

35° + <XCY + 73°= 180°

108° + <XCY= 180°

<XCY= 180-108

<XCY= 72°

<WCR= <XCZ

<WCR= <XCY + <YCZ

<WCR= 72° + 73°= 145°

<ZCR= <WCX

<ZCR = 35°

Length of arc = theeta (angle)/ 360 * 2πr

length of ZWX= <ZCW +<WXC/ 360 * 2π

I stopped here

Answer:

270 cubic centimeters

Step-by-step explanation:

To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270

Answer:

(a) y intercept is approximately 4.3

(b) [tex]y = 1.5x+4.5[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a) The y intercept

This is the point where [tex]x =0[/tex]

From the attached graph; By observation

[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]

So, the y intercept is approximately 4.3

Solving (b): The equation of best fit.

First, calculate the slope of the line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (9,18)[/tex]

[tex](x_2,y_2) = (8,16.5)[/tex]

So:

[tex]m = \frac{16.5- 18}{8 - 9}[/tex]

[tex]m = \frac{-1.5}{- 1}[/tex]

[tex]m = 1.5[/tex]

The equation is then calculated using:

[tex]y =m(x - x_1) + y_1[/tex]

Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]

[tex]y = 1.5(x - 9) + 18[/tex]

[tex]y = 1.5x - 9*1.5 + 18[/tex]

[tex]y = 1.5x - 13.5 + 18[/tex]

[tex]y = 1.5x+4.5[/tex]

Answer:

81 in^2

Step-by-step explanation:

Well the formula to find an area of a triangle is (bh) / 2

In this case the base is 18 and the height is 9

18*9=162

162/2=81

Answer:

81

Step-by-step explanation:

To find the area of a triangle, multiply the base (in this case 18) times the height (9). 18 times 9 is 162. Divide that by 2 to get the area of the triangle. 162/2=81

Answer:

84 in²

Step-by-step explanation:

12+9=21

21x0.5=10.5

10.5x8=84