All categories

3 years ago

A hemisphere with a 90 degree slice removed and a radius of 8 what is the volume

1 answer:

3 0

Okay...so since 90 degrees out of 360 is taken out that means that the hemisphere is only 250 degrees. That's only 3/4 of a hemisphere. So, you need to find the volume of the hemisphere as if it were a sphere. Then, you divide that by 2 to get the volume of the hemisphere. Then, you multiply it by 3/4 to get the volume of your sliced hemisphere.

You might be interested in

A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the

forsale [732]

<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly = $(\frac{1}{2})$ = p = 0.5

Also, the possibility of answering a question wrong = $(\frac{1}{2})$ = q = 0.5

Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.

P(answering 8 correct answer) = $^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2 = 0.0439$

P(answering 9 correct answer) = $^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1 = 0.0097$

P(answering 10 correct answer) = $^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0 = 0.00097$

So, the total Probability = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.

6 0

3 years ago

Determine the product (4.2×10^-1)+(5.7+10^-1)

Alenkasestr [34]

Answer: (D) 2.394 * 10^-1

Step-by-step explanation:

(4.2 * 10^-1) (5.7 * 10^-1)

= 2.394 * 10^-1

4 0

3 years ago

Stuart's bank account had a balance of - $54.19 last month. This month he won a cash prize of $70.82 for winning a competition.

Alenkinab [10]

If Stuart starts with -$54.19 then gains $70.82, you have to add the gained amount to the origin amount. Since the origin amount is negative, you can also subtract the origin amount from the gained amount to find the amount left at the end of the month.

Add 70.82 to -54.19

-54.19 + 70.82 = 16.63

<u>Alternative method:</u>

First, subtract 54.19 from 70.82.

70.82 - 54.19 = 16.63

Add 54.19 to -54.19, bringing you to 0.

-54.19 + 54.19 = 0

Now add the remaining 16.63.

0 + 16.63 = 16.63

<h2>Answer:</h2>

<u>Stuart will have </u><u>$16.63</u><u> at the end of this month.</u>

7 0

3 years ago

Use the functions to find x

suter [353]

Answer:

x = 14

Step-by-step explanation:

$f(x) = 10 - \frac{9}{2} x \\ \\ plug \: f(x) = - 53 \\ \\ - 53 = 10 - \frac{9}{2} x \\ \\ \frac{9}{2} x = 10 + 53 \\ \\ \frac{9}{2} x = 63 \\ \\ x = 63 \times \frac{2}{9} \\ \\ x = 7 \times 2 \\ \\ x = 14$

5 0

3 years ago

Barry and Robin walk to Dunkin' Donuts each Saturday to meet for coffee and donuts. Barry walks the 2 miles from his house in 30

lbvjy [14]

Answer:

Barry travels 4mph. Robin travels 5mph. Therefore Robin is walking faster.

Step-by-step explanation:

2x2=4

36/60=0.6

0.2=1

0.2x5=1

1x5=5

6 0

2 years ago