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Soloha48 [4]
3 years ago
8

A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centime

ters will it take to fill the bowl
Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Answer:

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Step-by-step explanation:

Given;

diameter of the hemisphere, d = 14 cm

radius of the hemisphere, r = d/2 = 14/2  = 7 cm

The volume of the hemisphere is calculated as;

V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7}   \times (7 \ cm)^3\\\\V = 718.67 \ cm^3

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

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The equation for area of a triangle is
stepan [7]

Answer:

h=2A/b

Step-by-step explanation:

I did the test

3 0
3 years ago
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric
Zanzabum

Answer:

a) (1215, 1297)

b) (1174,  1338)

c) (1133, 1379)      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1256

Standard Deviation, σ = 41

Empirical Rule:

  • Also known as 68-95-99.7 rule.
  • It states that almost all the data lies within three standard deviation for a normal data.
  • About 68% of data lies within 1 standard deviation of mean.
  • About 95% of data lies within two standard deviation of mean.
  • About 99.7% of data lies within 3 standard deviation of mean.

a) range of years centered about the mean in which about 68% of the data lies

\mu \pm 1(\sigma)\\=1256 \pm 41\\=(1215, 1297)

68% of data will be found between 1215 years and 1297 years.

b) range of years centered about the mean in which about 95% of the data lies

\mu \pm 2(\sigma)\\=1256 \pm 2(41)\\=1256 \pm 82\\=(1174, 1338)

95% of data will be found between 1174 years and 1338 years.

c) range of years centered about the mean in which about all of the data lies

\mu \pm 3(\sigma)\\=1256 \pm 3(41)\\=1256 \pm 123\\=(1133, 1379)

All of data will be found between 1133 years and 1379 years.

3 0
3 years ago
Use the formula for the probability of two dependent events P(A and B) to derive the conditional probability formula for P(B | A
gregori [183]

The conditional probability formula for P(B | A) has been derived from two dependent events P(A and B).

<h3>What is said to be dependent events?</h3>

When the outcome from one event influences the outcome of the other, two events are referred to as dependent.

  • Dependent events in probability are generally real-life events that depend on another event to occur.
  • Sam, for example, did well on his math test because he prepared; the gym class used to have a football session even though Adam brought a football from home.
  • When you look at these examples, you will realize that one occurrence is dependent on the other.

Derivation of conditional probability from two dependent events P(A and B) is-

The probability multiplication rule is used to derive the conditional probability formula, P(A and B) = P(A)×P(B|A).

This rule is also known as P(AB). The Union symbol (∪) represents "and," as in event A occurring and event B occurring.

Step 1: Write the multiplication rule down:

           P(A and B) = P(A)*P(B|A)

Step 2: P(A) divides both sides of the equation:

           P(A and B) / P(A) = P(A)*P(B|A) / / P(A)

Step 3: On the right side of the equation, cancel P(A):

           P(A and B) / P(A) = P(B|A)

Step 4: Rewrite the equation as follows:

           P(B|A) = P(A and B) / P(A)

Therefore, P(B | A) conditional probability formula is compiled from two dependent events P (A and B).

To know more about the conditional probability, here

brainly.com/question/10739997

#SPJ4

8 0
1 year ago
3) 4 pounds of meat cost $18. How much will 10 pounds of the same meat cost?​
Ganezh [65]

Answer:

$45

Step-by-step explanation:

4 lbs = $18

2 lbs = $9

10 lbs = $45

7 0
3 years ago
Read 2 more answers
Plz solve this question for me
sveticcg [70]

Answer:

2

Step-by-step explanation:

w + 1/2 ➡ (2w + 1)/2

w/4 + 2➡ (w + 8)/4

(2w + 1)/2 = (w + 8)/4

8w + 4 = 2w + 16 ➡ 6w = 12

w = 2

3 0
3 years ago
Read 2 more answers
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