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1 year ago

Which phrase describes the perpendicular distance between two bases of a cylinder

Mathematics

1 answer:

Flura [38]1 year ago

5 0

Answer:

The height of the cylinder

Step-by-step explanation:

The perpendicular distance between two bases of a cylinder is not going to be the radius or diameter of the bases (because it is BETWEEN the bases, not ON them) and it is not the area of the bases because the area of a shape cannot be a distance.

So, the only option left is the height of the cylinder, which is the correct answer.

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62% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

velikii [3]

Answer:

a) 0.1829

b) 0.6823

c) 0.0413

Step-by-step explanation:

We are given the following information:

We treat adult having little confidence in the newspaper as a success.

P(Adult have little confidence) = 62% = 0.62

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

a) exactly 5

$P(x =5)\\\\=\binom{10}{5}(0.62)^5(1-0.62)^5\\\\=0.1829$

0.1829 is the probability that exactly 5 out of 10 U.S.adults have very little confidence in newspapers.

b) atleast six

$P(x \geq 6)\\\\ = P(x = 6) + P(x = 7)+P(x = 8)+P(x = 9)+P(x=10)\\\\= \displaystyle\sum \binom{10}{n}(0.62)^n(1-0.62)^{10-n}, n =6,7,8,9,10\\\\= 0.6823$

0.6823 is the probability that atleast 6 out of 10 U.S. adults have very little confidence in newspapers.

c) less than four

$P(x$

0.0413 is the probability that less than 4 out of 10 U.S. adults have very little confidence in newspapers.

8 0

1 year ago

Can you Solve this 2y+4y=6-3y?

Licemer1 [7]

Answer:

$\large\boxed{y=\dfrac{2}{3}}$

Step-by-step explanation:

$2y+4y=6-3y\\\\6y=6-3y\qquad\text{add}\ 3y\ \text{to both sides}\\\\6y+3y=6-3y+3y\\\\9y=6\qquad\text{divide both sides by 9}\\\\\dfrac{9y}{9}=\dfrac{6}{9}\\\\y=\dfrac{6:3}{9:3}\\\\y=\dfrac{2}{3}$

3 0

2 years ago

According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo

aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

$2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4$

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

7 0

2 years ago

Read 2 more answers

What is the solution to this system of equations? Y= 2x - 3.5 x - 2y = -14

goldfiish [28.3K]

Answer:

x=7

y=10.5

Step-by-step explanation:

1. You can apply the method of substitution, as you can see below:

- Substitute $y=2x-3.5$ into the other equation and solve fo x:

$x-2(2x-3.5)=-14\\x-4x+7=-14\\x=7$

- Substitute the value of x obtain into the first equation, then the value of y is:

$y=2(7)-3.5\\y=10.5$

6 0

1 year ago

Read 2 more answers

Glenna wants to rent a car for a trip to key west for one weekshe calls two car rental companies to get prices. mr kotters renta

Korvikt [17]

Answer: Barbarino's rentals has a better deal.

She has to drive 887.5 miles to spend the same amount at either company.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Mr.kotters rentals (A) 

$99 PER WEEK
$0.11per mile over 100 miles

Barbarino's rentals (B) 

$75 per week
$0.15 per mile over 150 miles

For "A"

Cost = 0.11 (432-100) + 99 = $135.52

For "B"

Cost= 0.15 (432-150) +75 = $117.3

Barbarino's rentals has a better deal, since $117.3(B) < $135.52 (A)

To find how many miles would Glenna drive before she would be spending the same amount at either company:

A =B

0.11 (M-100) + 99 =0.15 (M-150) +75 = $117.3

Solving for M (miles)

0.11 M -11+99 = 0.15 M -22.5+75

-11 +99 +22.5 -75 =0.15M -0.11 M

35.5 = 0.04M

35.5/0.04 = M

887.5 =M

She has to drive 887.5 miles to spend the same amount at either company.

4 0

1 year ago