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3 years ago

A solid sphere has volume 36π. Find the radius of the sphere.

Mathematics

1 answer:

Lena [83]3 years ago

4 0

Answer:

Radius of sphere = 3 units

Step-by-step explanation:

Volume of sphere is given by the formula

$V=\frac{4}{3}\pi r^3$

Where r is the radius.

Here the volume of sphere is given by 36π.

Substituting

$36\pi=\frac{4}{3}\pi r^3\\\\r^3=27\\\\r=3units$

Radius of sphere = 3 units

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A sample of 20 account balances of a credit company showed an average balance of $1,170 and a standard deviation of $125. You wa

Lady_Fox [76]

Answer:

The P-value for this test is P=0.2415.

Step-by-step explanation:

We have to perform an hypothesis testing on the mean of alla account balances.

The claim is that the mean of all account balances is significantly greater than $1,150.

Then, the null and alternative hypothesis are:

$H_0: \mu=1150\\\\H_a: \mu>1150$

The sample size is n=20, with a sample mean is 110 and standard deviation is 125.

We can calculate the t-statistic as:

$t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{1170-1150}{125/\sqrt{20}}=\dfrac{20}{27.95}=0.7156$

The degrees of freedom fot this test are:

$df=n-1=20-1=19$

For this one-tailed test and 19 degrees of freedom, the P-value is:

$P-value=P(t>0.7156)=0.2415$

8 0

4 years ago

the smaller rectangle is a 1/4 scale drawing of the original figure. Use the drop-down menus to show the missing dimensions of t

Neporo4naja [7]

Answer:

Part a) The length of the smaller rectangle is $6\ ft$

Part b) The width of the smaller rectangle is $5\ ft$

Part c) The area of the smaller rectangle is $30\ ft^{2}$

Step-by-step explanation:

Part a)

Find the length side of the smaller figure

we know that

The scale factor is equal to $\frac{1}{4}$

Remember that

The scale factor is equal to divide the measure of the smaller figure by the corresponding measure of the original figure

Let

x--------> the length of the smaller rectangle

y-------> the length of the original figure

z-----> scale factor

$z=\frac{x}{y}$

we have

$y=24\ ft$

$z=1/4$

substitute and solve for x

$(1/4)=\frac{x}{24}$

$x=24/4=6\ ft$

Part b)

Find the width side of the smaller figure

we know that

The scale factor is equal to $\frac{1}{4}$

Remember that

The scale factor is equal to divide the measure of the smaller figure by the corresponding measure of the original figure

Let

x--------> the width of the smaller rectangle

y-------> the width of the original figure

z-----> scale factor

$z=\frac{x}{y}$

we have

$y=20\ ft$

$z=1/4$

substitute and solve for x

$(1/4)=\frac{x}{20}$

$x=20/4=5\ ft$

Part c)

Find the area of the smaller figure

we know that

The scale factor is equal to $\frac{1}{4}$

Remember that

The scale factor squared is equal to divide the area of the smaller figure by the area of the original figure

Let

x--------> the area of the smaller rectangle

y-------> the area of the original figure

z-----> scale factor

$z^{2}=\frac{x}{y}$

we have

$y=480\ ft^{2}$

$z=1/4$

substitute and solve for x

$(1/4)^{2}=\frac{x}{480}$

$x=480/16=30\ ft^{2}$

4 0

4 years ago

Will give brainliest to first answer+20pts

antiseptic1488 [7]

Answer:

105

Step-by-step explanation:

First find the third angle inside the triangle:

180 - 30 - 75 = 75

Then find x:

180 - 75 = 105

5 0

3 years ago

A 1L bag of Normal Saline must infuse over 6 hours using tubing calibrated to deliver 20gtts/mL. How many drops per minute shoul

sammy [17]

Answer:

total drop per minute is 56

Step-by-step explanation:

Give data:

total capacity of bag 1 L = 1000 ml

Duration of infuse 6 hr

quantity at the time delivered is 20 gtts/ml

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therefore total drop per minute is $55.55 \approx 56$

4 0

4 years ago

8v - 19 = 13v + 18 - 5v

Mars2501 [29]

Answer:

⊂◉‿◉つHi its 37

Step-by-step explanation:

Hope this helps :)

6 0

3 years ago