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3 years ago

How to do this question??

Mathematics

1 answer:

dusya [7]3 years ago

5 0

I'm going to suppose that this is asking for the volume.
The formula to find volume for a cylinder is V= pi r 2(squared) h
The radius is 10cm and the height is 14cm
Then plug the numbers in
So you should get V=3.14 x 10(squared) x 14
The once you multiply all that you should get 4396 cm(cubed)

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If the total cost plus shipping is greater than $35,then you receive a 10% discount off the original selling price. Do you quali

RUDIKE [14]

It's not clear what is the specific requirement of the question, but I'll assume a couple of situations to help you with your real problem.

Answer:

$45 (qualified)

$30 (did not qualify)

Step-by-step explanation:

Percentage Calculations

Relative quantities are usually expressed as percentages (%). We say x percent of y is the proportion xy/100. When discounts or surcharges are applied, they are subtracted or added to the original quantity.

The question explains I receive a 10% discount off the original selling price if the total cost plus shipping is greater than $35. Let's assume the total cost plus shipping is $50. Since it's greater than $35, it qualifies for a discount. The discount is 10% of $50 = (10)(50)/100= $5. So the new total cost will be $50 - $5 = $45

Let's suppose now the total cost+shipping is $30. Since it's not greater than $35, no discount will be applied and we have to pay $30

7 0

3 years ago

Find 2 consecutive even numbers such that the sum of the

Elena L [17]

Answer:

14,16

Step-by-step explanation:

Let x be the first even number.

Let y be the 2nd even number.

Given, y - x = 2 (Since they are 2 consecutive even numbers.)

rearranging the equation: y = x+2 (equation 1)

Also given,

$y+2x=44\\$ (equation 2)

Now we can substitute equation 1 into equation 2 to find x.

$x+2+2x = 44\\3x+2 = 44\\3x = 44-2\\3x=42\\x = \frac{42}{3} \\x = 14$

Given the smaller even number x, is 14, we will substitute x into equation1 to find y, the bigger even number.

y = 14+2

= 16

Therefore the 2 numbers are 14 and 16.

6 0

2 years ago

Read 2 more answers

Expand the binomial (2x+y^2)^5

ra1l [238]

Answer:

32x+y^10

Step-by-step explanation:

2^5 = 32

y^2*5 = y^10

6 0

3 years ago

What is 12 -32 hurry pls

steposvetlana [31]

Answer:

-20

Step-by-step explanation:

32-12=20 so do it backwards. :D

7 0

3 years ago

A company services home air conditioners. It is known that times for service calls follow a normal distribution with a mean of 7

SCORPION-xisa [38]

Answer:

The probability that exactly eight of them take more than 93.6 minutes is 5.6015 $\times 10^{-6}$ .

Step-by-step explanation:

We are given that it is known that times for service calls follow a normal distribution with a mean of 75 minutes and a standard deviation of 15 minutes.

A random sample of twelve service calls is taken.

So, firstly we will find the probability that service calls take more than 93.6 minutes.

Let X = times for service calls.

So, X ~ Normal( $\mu=75,\sigma^{2} =15^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 75 minutes

$\sigma$ = standard deviation = 15 minutes

Now, the probability that service calls take more than 93.6 minutes is given by = P(X > 93.6 minutes)

P(X > 93.6 min) = P( $\frac{X-\mu}{\sigma}$ > $\frac{93.6-75}{15}$ ) = P(Z > 1.24) = 1 - P(Z $\leq$ 1.24)

= 1 - 0.8925 = 0.1075

The above probability is calculated by looking at the value of x = 1.24 in the z table which has an area of 0.8925.

Now, we will use the binomial distribution to find the probability that exactly eight of them take more than 93.6 minutes, that is;

$P(Y = y) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; y = 0,1,2,3,.........$

where, n = number of trials (samples) taken = 12 service calls

r = number of success = exactly 8

p = probability of success which in our question is probability that

it takes more than 93.6 minutes, i.e. p = 0.1075.

Let Y = Number of service calls which takes more than 93.6 minutes

So, Y ~ Binom(n = 12, p = 0.1075)

Now, the probability that exactly eight of them take more than 93.6 minutes is given by = P(Y = 8)

P(Y = 8) = $\binom{12}{8}\times 0.1075^{8} \times (1-0.1075)^{12-8}$

= $495 \times 0.1075^{8} \times 0.8925^{4}$

= 5.6015 $\times 10^{-6}$ .

6 0

3 years ago