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3 years ago

Anyone good at math Surface area with Diameter and height on a cylinder?

Mathematics

1 answer:

MariettaO [177]3 years ago

4 0

If the cylinder is closed at both ends the formula is

πdh + 2π(d/2)^2 where h = height and d = diameter

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Can a triangle be made with sides of length 7, 10, and 20 units?

Anarel [89]

It can't, in triangle sum of 2 sides have to be more than 3rd side, and we know that $7+10$ isn't more than $20$ I also add picture to make it more clear, circles represents range of each side

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3 years ago

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You buy a raffle ticket to win a television. One of 200 tickets will be drawn from a box to determine the winner. Find the proba

Delicious77 [7]

As long as you only buy one ticket, it should be 1/200 chance.

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3 years ago

Find the solution for this system of equations. 2x + 4y = 8 x = 3y − 6

natima [27]

Answer:

${ \tt{2x + 4y = 8 - - - (a)}} \\ { \tt{x = 3y - 6 - - - (b)}}$

Substitute for x in equation (a) :

${ \tt{2(3y - 6) + 4y = 8}} \\ { \tt{6y - 12 + 4y = 8}} \\ { \tt{10y = 20}} \\ y = 2$

Substitute for y in equation (b) :

${ \tt{x = (3 \times 2) - 6}} \\ x = 0$

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3 years ago

Read 2 more answers

How many integers are greater than radical 27 and less than radical 72

katen-ka-za [31]

Answer:

The factorization of 72 is 2 × 2 × 2 × 3 × 3 which has 1 pair of the same number. Thus, the simplest radical form of √72 is 6√2.Prime factorization of 27 is 3 × 3 × 3. Therefore, √27 can be simplified further as √3 × 3 × 3 =3√3. Thus, we have expressed the square root of 27 in the simplest radical form as 3√v

6 0

3 years ago

g In a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained

Marat540 [252]

Answer:

95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

Step-by-step explanation:

We are given that in a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained a flu shot.

Firstly, the Pivotal quantity for 95% 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 residents 65-years or older who had obtained a flu shot = $\frac{28}{111}$ = 0.25

n = sample of residents 65-years or older = 111

p = population proportion of residents who were getting the flu shot

Here for constructing 95% confidence interval we have used One-sample z test for proportions.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.25-1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } }$ , $0.25+1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } }$ ]

= [0.169 , 0.331]

Therefore, 95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

7 0

3 years ago