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3 years ago

The volume of this cylinder is 2700π(cubed)

Mathematics

1 answer:

aalyn [17]3 years ago

7 0

Given that,

The volume of the cylinder, $V=2700\pi\ cm^3$

The height of the cylinder, h = 150 cm

To find,

The radius of the cylinder.

Solution,

The formula for the volume of the cylinder is given by :

$V=\pi r^2 h\\\\r=\sqrt{\dfrac{V}{\pi h}}\\\\r=\sqrt{\dfrac{2700\pi }{\pi \times 150}}\\\\r=4.24\ cm$

So, the radius of the cylinder is 4.24 cm.

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PLEASE HELP LOOK AT THE PIC BELOW

asambeis [7]

Answer:

The simplest answer is

$\frac{16}{21}$

The reason how I got that is because to divide fractions, you have to turn them improper. Once you've done that, you then can multiply it by using the reciprocal of the second fraction. Once they are rearranged, multiply all the numerators by each other. do the same with the denominators and form a new fraction.

5 0

3 years ago

Read 2 more answers

Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality ra

anyanavicka [17]

Answer:

Because the P-value is _(0.02) less than the significance level 0.05, there is sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α=0.05.

C. The results suggest that imported lemons cause car fatalities.

Step-by-step explanation:

Hello!

The study variables are:

X₁: Weight of imported lemons.

X₂: Car crash fatality rate.

The objective is to test if the imported lemons affect the occurrence of car fatalities. To do so you are asked to use a linear correlation test.

I've made a Scatterplot with the given data, it is attached to the answer.

To be able to use the parametric linear correlation you can use the parametric test (Person) or the nonparametric test Spearman. For Person, you need your variables to have a bivariate normal distribution. Since one of the variables is a discrete variable (ratio of car crashes) and the sample is way too small to make an approximation to a normal distribution, the best test to use is Spearman's rank correlation.

This correlation coefficient (rs) takes values from -1 to 1

If rs = -1 this means that there is a negative correlation between the variables

If rs= 1 this means there is a positive correlation between the variables

If rs =0 then there is no correlation between the variables.

The hypothesis is:

H₀: There is no linear association between X₁ and X₂

H₁: There is a linear association between X₁ and X₂

α: 0.05

To calculate the Spearman's correlation coefficient you have to assign ranks to the observed values of each variable, from the smallest to the highest). Then you have to calculate the difference (d)between the ranks and the square of that difference (d²). (see attachment)

The formula for the correlation coefficient is:

$rs= 1 - \frac{6* (sum of d^2)}{(n-1)n(n+1)}$

$rs= 1 - \frac{6* (40)}{4*5*6}$

rs= -1

For this value of the correlation coefficient, the p-value is 0.02

Since the p-value (0.02) is less than the significance level (0.05) the decision is to reject the null hypothesis. In other words, there is a linear correlation between the imported lemons and the car crash fatality ration, this means that the modification in the lemon import will affect the car crash fatality ratio.

Note: the correlation coefficient is negative, so you could say that there is a correlation between the variables and this is negative (meaning that when the lemon import increases, the car crash fatality ratio decreases)

I hope it helps!

4 0

3 years ago

How do you add and subtract decimals as easily as you do whole numbers?

777dan777 [17]

If you know how to add and subtract whole numbers, then you can add and subtract decimals! Just be sure to line up the terms so that all the decimal points are in a vertical line.
To add decimal numbers:

Put the numbers in a vertical column, aligning the decimal points
Add each column of digits, starting on the right and working left. If the sum of a column is more than ten, "carry" digits to the next column on the left.
Place the decimal point in the answer directly below the decimal points in the terms.
To subtract decimal numbers:

Put the numbers in a vertical column, aligning the decimal points.
Subtract each column, starting on the right and working left. If the digit being subtracted in a column is larger than the digit above it, "borrow" a digit from the next column to the left.
Place the decimal point in the answer directly below the decimal points in the terms.
Check your answer by adding the result to the number subtracted. The sum should equal the first number.

To add these numbers, first arrange the terms vertically, aligning the decimal points in each term. Don't forget, for a whole number like the first term, the decimal point lies just to the right of the ones column. You can add zeroes to the right of the decimal point to make it easier to align the columns. Then add the columns working from the right to the left, positioning the decimal point in the answer directly under the decimal points in.

To subtract these numbers, first arrange the terms vertically, aligning the decimal points in each term. You can add zeroes to the right of the decimal point, to make it easier to align the columns. Then subtract the columns working from the right to the left, putting the decimal point in the answer directly underneath the decimal points in the terms. Check your answer by adding it to the second term and making sure it equals the first.

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· Decimal numbers

· Estimating and
rounding

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· Square roots

· Signed integers

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· Properties of integers

First Glance In Depth Examples Workout
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Adding and subtracting decimals

4 0

3 years ago

Read 2 more answers

Charles saves $y. Sharon saves 3 times as much as Charles. Jason saves 50.00 more thN Sharon. How much do they save

Whitepunk [10]

Charles-C
Sharon- S
Jason-J

C=y
S= 3y
J=(3y)+50

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3 years ago

How many times greater was the temperature in Miami (45) than the lowest in San Diego (25)

Greeley [361]

Answer:

The temperature in Miami is 9/5 times the temperature in San Diego.