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2 years ago

A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic ft, to the nearest tenths place?

Mathematics

1 answer:

andrezito [222]2 years ago

7 0

Answer:

1357.2

Step-by-step explanation:

$V=\pi r^{2} h$

$=\pi *6^{2} *12$

$=1357.2$

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Solving by substitution 2x-5y=10 ; x-2y=14

never [62]

Answer:

The solution of the given system of equation is x = 50, y =18

Step-by-step explanation:

Here, the given system of equations are:

2x - 5y = 10 , x - 2y = 14

Now, from equation (2), we get x = 14 + 2y

SUBSTITUTE this value of y in the given equation (1)

We get: 2x - 5y = 10 ⇒ 2(14 + 2y) - 5y = 10

or, 28 + 4y - 5y = 10

⇒ 28 - y = 10

or y = 28 - 10 = 18

⇒ y = 18

Now, if y = 18, SUBSTITUTE this value of y in x = 14 + 2y

⇒ x = 14 + 2y = 14 + 2(18) = 14 + 36 = 50

Hence, the solution of the given system of equation is x = 50, y =18

4 0

3 years ago

You and 5 friends go to lunch. You plan to split the bill evenly, and you plan to leave a 20% tip. The bill comes to $55.50. The

WINSTONCH [101]

55.50 *1.07=59.39 then divide 6= $9.90 then *1.2 because u decide to leave a 20% tip=11.88 Answer: $11.88
Hope this helps!!!!!!!!!!!

8 0

3 years ago

Read 2 more answers

More Information From the Online Dating Survey A survey conducted in July 2015 asked a random sample of American adults whether

svet-max [94.6K]

Answer:

90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating is [0.095 , 0.148].

Step-by-step explanation:

We are given that a survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating.

The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating.

Firstly, the pivotal quantity for 90% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who said that they had used online dating = $\frac{50}{411}$ = 0.122

n = sample of adults between the ages of 55 and 64 = 411

p = population proportion of all US adults ages 55 to 64 to use online dating

Here for constructing 90% confidence interval we have used One-sample z proportion statistics.

So, 90% confidence interval for the population proportion, p is ;

P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level

of significance are -1.645 & 1.645}

P(-1.645 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.645) = 0.90

P( $-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

P( $\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

90% confidence interval for p = [ $\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.122-1.645 \times {\sqrt{\frac{0.122(1-0.122)}{411} } }$ , $0.122+1.645 \times {\sqrt{\frac{0.122(1-0.122)}{411} } }$ ]

= [0.095 , 0.148]

Therefore, 90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating is [0.095 , 0.148].

7 0

3 years ago

If one side of a square measures (3x-8) find the area of the square

Wittaler [7]

Answer:−21x−8

Step-by-step explanation: All sides have the same measure in a square, therefore all sides are 3x-8. Area is equal to 3x-8 times 3x-8 which is −21x−8

7 0

3 years ago

Read 2 more answers

Which number variable expression represents the number of inches in y yards?

wlad13 [49]

Answer=36*y

36 inches in 1 yard
36in=1yd

36*y

4 0

3 years ago

Read 2 more answers