All categories

3 years ago

PLEASE ANSWER FOR BRAINILEST

Mathematics

2 answers:

guajiro [1.7K]3 years ago

8 0

Answer:

V = 4/3 (3.14) r^3

V = 4/3 (3.14) (5^3 - (4)^3)

V = 4/3 (3.14) (125 - 64)

V = 255.4 cm cubed

Step-by-step explanation:

Bond [772]3 years ago

6 0

Answer:

255.4 cm^2

Step-by-step explanation:

You might be interested in

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.01 \cdot 0.305=0.61$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95$

The 95% confidence interval for the mean is (5.73, 6.95).

4 0

4 years ago

-1 3/5 divided by (-2/3) write as mixed number

hichkok12 [17]

Step-by-step explanation:

$- 1 \frac{3}{5} \div \frac{ - 2}{3}$

Convert the mixed numbers above to improper fractions. Thus:

$\frac{ - 8}{5} \div \frac{ - 2}{3}$

In order to simplify the fractions above, the division sign changes to multiplication sign thus turn the right hand side of the fraction inversely such that -2/3 to -3/2. Hence,

$\frac{ - 8}{5} \times \frac{ - 3}{2}$