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2 years ago

Will give brainiest answer, I need step-by-step answer

Mathematics

1 answer:

Korvikt [17]2 years ago

6 0

Answer: Choice A

The volume expression is 4/3 times pi times (3x)^3

===================================================

The volume of a sphere is found through the formula

V = (4/3)*pi*r^3

so we start with the fraction 4/3, multiply it with pi, and then multiply it with r^3

In this case, the radius is r = 3x because this is half of the diameter d = 6x

We simply replace the r with 3x in that formula above

V = (4/3)*pi*r^3

V = (4/3)*pi*( r )^3

V = (4/3)*pi*(3x)^3 ... replace r with 3x

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Write the factors for each number Then decide whether the number is prime or composite

Lina20 [59]

Answer:

Step-by-step explanation:

If it have more than 2 divider its composite but its divider is only one and its self only its prime.1 isn't neither prime nor composite

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3 years ago

“a railroad bridge spans a gorge 40 feet wide and connects two cliffs at heights of 98 and 158 feet above the bottom of the gorg

VMariaS [17]

Answer:

Height above the bottom gorge is 113 feet

Step-by-step explanation:

The width of the gorge = 40 feet

The height of the higher cliff = 158 feet

The height of the lower cliff = 98 feet

The length of the bridge = √((158-98)² + 40²) = 72.11 feet

The slope of the bridge = (158-98)/40 = 1.5

The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet

The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°

The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet

Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;

Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.

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2 years ago

Do I multiply these fractions or how do I get the simplified answer

timama [110]

Answer:

Step-by-step explanation:

you have to add all the fractions to find the perimeter

10 1/7+10 1/7= 20 2/7 (width)

20 2/7+35 3/7(length) =55 5/7

12 2/7+12 2/7=24 4/7

55 5/7+24 4/7= 79 9/7=80 2/7

80 2/7+ 15 3/14+ 24 1/14= 562/7+ 213/14+337/14= (1124+213+337)/14

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2 years ago

A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving de

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Answer: 0.8926

Step-by-step explanation:

Given : A shipment of 50 inexpensive digital watches, including 10 that are defective.

The probability that a digital watch is defective $: p=\dfrac{10}{50}=0.2$

Sample size : n=10

Also, they reject the whole shipment if 1 or more in the sample are found defective.

Using the binomial probability formula :

$P(x)=^nC_xp^x(1-p)^{n-x}$

Let x be the random variable that represents the number of defective watches.

The probability that the shipment will be rejected :-

$P(x\geq1)=1-P(0)\\\\=1-^{10}C_0(0.2)^0(0.8)^{10}\\\\=1-(0.8)^{10}=0.8926258176\approx0.8926$

Hence, the probability that the shipment will be rejected = 0.8926

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3 years ago

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