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2 years ago

The sum of two numbers is 43. The larger number is 21 more than the smaller number. What are the numbers?

Mathematics

1 answer:

german2 years ago

5 0

Answer:

The numbers are 11 and 32. Add to get a sum of 43, and subtract to get a difference of 21.

Step-by-step explanation:

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In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at l

svetoff [14.1K]

Answer: (0.25,0.33)

Step-by-step explanation:

A 99% confidence interval for population proportion is given by:-

$\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where $\hat{p}$ = sample proportion, $n$ = sample size.

Given: $n=1025, \hat{p}=0.29$

A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:

$0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)$

$\approx(0.25,\ 0.33)$

Thus, a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping = (0.25,0.33)

5 0

3 years ago

a model of a car is amde to a scale of 1:40. the volume of the model is 45cm^3. calcualte the volume of the car. give your answe

spin [16.1K]

The volume of the car is 1800cm^3 which is equivalent to 0.0018m^3

<h3>Scale modelling</h3>

Given the scale factor that model of a car is amde to a scale of 1:40, Giving that the model as 45cm^3, this means that;

1 = 45cm^2

Determine the volume of the car

40 = x

Find the ratio

1/40 = 45/x

x = 40*45

x = 1800cm^3

x = 0.0018m^3

Hence the volume of the car is 1800cm^3 which is equivalent to 0.0018m^3

Learn more on scale factor here; brainly.com/question/25722260

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1 year ago

The ratio of adults to children on a field trip is 2:7. If there are 14 adults on the trip, how many children are there?

Bas_tet [7]

Answer:

49 children

Step-by-step explanation:

Adult : Child = 2 : 7

Adult = 14

2 = 14

So, 1 = 14/2 = 1 = 7 in the ratio.

So, 7 x 7 = 49 children are there.

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2 years ago

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lorasvet [3.4K]

The shaded area is 299.59un^2.

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3 years ago

In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next

castortr0y [4]

An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

$y = A cos bx + c$

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

<h3>What is the formula for the amplitude?</h3>

$A = 1/2 (Xmax - Xmin)$

$12 - 2 / 2 = 10/2 = 5$

$b = 2 pi / 12 = pi/6$

$c = 1/2 (Xmax + Xmin)$

$12+2/2 = 7$

Therefore, the an equation for water level in june for pensacola as a function of time (t)

$f(t) = 5 cos pi/6 t + 7$

To learn more about the function of time visit:

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2 years ago