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Alexxx [7]
2 years ago
3

A woman’s basketball has a circumference between 28.5 and 29.0 inches and a maximum weight of 20 ounces (two significant figures

). What are these specifications in units of centimeters and grams?
Mathematics
1 answer:
Brrunno [24]2 years ago
5 0

Answer:

A woman’s basketball has a circumference between 72 and 74 centimeter and a maximum weight of 570 grams.                                                                

Step-by-step explanation:

We are given the following in the question:

A woman’s basketball has a circumference between 28.5 and 29.0 inches.

We have to convert this measurement into centimeters.

Conversion:

1 inch = 2.54 centimeter

1\text{ centimeter} = \dfrac{1}{2.54}\text{ inch}

28.5 \text{ inch} = 28.5\times 2.54 = 72.39 \approx 72\text{ centimeter}

29.0 \text{ inch} = 29.0\times 2.54 = 73.66 \approx 74\text{ centimeter}

Thus, the basketball has a circumference between 72 cm and 73 cm.

A woman’s basketball has a maximum weight of 20 ounces.

We have to convert this measurement into grams.

Conversion:

1 ounce = 28.3495 grams

20 \text{ ounces} = 20\times 28.3495 = 566.99 \approx 567\text{ grams}

Since we want the answers upto two significant figure, the maximum weight of basketball is 570 grams.

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It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry a
Sphinxa [80]

Answer:

(a) P(B) = 0.008, (b) P(A∩B) = 0, (c) Yes, A and B are mutually exclusive events, (d) P(A∪B)=0.948, (e) 0.948, (f) 0.06

Step-by-step explanation:

We have three different posibilities

A: fill to specification

B: underfill

C: overfill

in probability the sum of the different events which are mutually exclusive should sum to 1, so, we should have

(a) P(B) = 1 - P(A)-P(C) = 1-0.940-0.052=0.008

(b) P(A∩B)=probability that the machine fill to specification and underfill = 0 because a machine can't fill to specification and underfill at the same time

(c) Yes, A and B are mutually exclusive events, because a machine can't fill to specification and underfill at the same time

(d) Because A and B are mutually exclusive events we should have that

P(A∪B)=P(A)+P(B)=0.940+0.008=0.948

(e) The probability that the machine does not overfill is the same that the probability that the machine fill to specification plus the probability that the machine underfill, i.e, the probability that the machine does not overfill is P(A)+P(B)=0.948, because does not overfill is equivalent either to fill to specification or to underfill.

(f) The probability that the machine either overfill or underfills is

P(C∪B)=P(C)+P(B)=0.052+0.008=0.06 because C and B are mutually exclusive events.

5 0
2 years ago
The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S
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Answer:

Part A) h=V/(\pi r^{2})

Part B) h=4\ cm

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

V=\pi r^{2}h

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})

Simplify

V/(\pi r^{2})=h

Rewrite

h=V/(\pi r^{2})

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

V=36\pi\ cm^3

r=3\ cm

substitute in the formula and solve for h

h=36\pi/(\pi 3^{2})

h=4\ cm

8 0
2 years ago
Sunita bought a 10 kg box of grapes from the market. She gave 3 1/2 kg of her grapes to her friend Reena and 2 1/4 kg to Anita.
kirill115 [55]

Answer:

17/4 kg

Step-by-step explanation:

Sunita has = 10kg of grapes

Quantity given out :

To Reena =3 1/2

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To Anita =2 1/4

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Total quantity of grape given out

7/2+9/4

(14+9)/4

23/4

Quantity left after giving out = Total quantity of grape before giving out minus quantity of grape given out

10/1 - 23/4

40-23)/4

= 17/4 or 4 1/4

Hence, she has 17/4 kg of grape left with her

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