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3 years ago

2:3= 10: 12:15 = 4: 1:5= 5: 15:30 = 1 :

Mathematics

1 answer:

I am Lyosha [343]3 years ago

5 0

Answer:

I think this is the answer

Step-by-step explanation:

2:3=10:15

12:15=4:5

1:5=5:25

15:30=1:2

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V125BC [204]

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3 years ago

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4 years ago

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The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure

Novosadov [1.4K]

Hello!

The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure?

Use 3.14 to approximate π .

Enter your answer in the box. in.³

Data: (Cylinder)

h (height) = 7 in

r (radius) = 2.5 in (The diameter is 5 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cylinder volume)

$V = \pi *r^2*h$

$V = 3.14 *2.5^2*7$

$V = 3.14*6.25*7$

$V = 137.375 \to \boxed{V_{cylinder} \approx 137.38\:in^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 2.5 in (The diameter is 5 being twice the radius)

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

$V = 2* \pi * \dfrac{r^3}{3}$

Solving:

$V = 2* \pi * \dfrac{r^3}{3}$

$V = 2*3.14 * \dfrac{2.5^3}{3}$

$V = 2*3.14 * \dfrac{15.625}{3}$

$V = \dfrac{98.125}{3}$

$\boxed{ V_{hemisphere} \approx 32.70\:in^3}$

Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume

Volume of the figure = 137.38 in³ + 32.70 in³

$Volume\:of\:the\:figure =170.08 \to \boxed{\boxed{\boxed{Volume\:of\:the\:figure = 170\:in^3}}}\end{array}}\qquad\quad\checkmark$

_______________________

I Hope this helps, greetings ... Dexteright02! =)

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3 years ago

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Tony purchases 12 water bottles. Of those bottles, 5 hold 400 milliliter each and 7 hold 1.5 liters each. How much water, in mil

Rashid [163]

Answer:

12 L 500 mL

Step-by-step explanation:

First, multiply the two types of bottles separately.

5 × 400 = 2000 mL

7 × 1.5 = 10.5 L

You can convert the volume of the first from milliliters to liters. There are 1000 milliliters in 1 liter. In the second volume, you can convert the decimal to milliters.

2000 mL = 2 L

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Add all of the numbers together.

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Tony purchased 12 L and 500 mL of water.

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With regard to a regression-based forecast, the standard error of the estimate gives a measure of A. the variability around the

Travka [436]

Answer:

B. the variability around the regression line.

Step-by-step explanation:

The standard errors represents the distance (how sparse) the observed values fall from the regression line.

Standard errors for regression are measures of the spread of variables around the average (regression line)

The standard error is dependent on the standard deviation of the observations and the reliability of the test.

When the test is perfectly reliable, the standard error is zero and when unreliable, it is equal to the standard deviation of the observations.

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3 years ago