Find the exact volume of the cylinder. Diameter 10 ft and height 8 ft

please help! this is for a grade and its overdue!!!!!!!! If the blueprint is drawn on the coordinate plane with vertices (1, 5)

viktelen [127]

Answer:

50 \sqrt[]{2} feet

Step-by-step explanation:

Given the vertices (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

Using the Distance Formula:

Since 1 Square Unit = 25 Square Feet

1 Unit =5 feet

Therefore, the length of the diagonal

7 0

3 years ago

Read 2 more answers

The sum of the first 6 terms of a geometric series is

jekas [21]

Answer:

4

Step-by-step explanation:

The sum to n terms of a geometric sequence is

$S_{n}$ = $\frac{a(r^n-1)}{r-1}$

where a is the first term and r the common ratio

Here r = 5 and a has to be found, thus

$S_{6}$ = $\frac{a(5^6-1)}{5-1}$ , so

$\frac{a(15625-1)}{4}$ = 15624

Multiply both sides by 4

15624a = 62496 ( divide both sides by 15624

a = 4

7 0

3 years ago

Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find

svp [43]

Answer:

The z-score corresponding to an observed value of x of 2 is 0.215.

Step-by-step explanation:

We are given that a variable x has the possible observations shown below;

Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.

Firstly, we will find the mean and the standard deviation of X, i.e;

Mean of X, ( $\mu$ ) = $\frac{\sum X}{n}$

= $\frac{(-3)+ (-1)+ 0+ 1+ 1+ 2+ 4+ 4+ 5}{9}$

= $\frac{13}{9}$ = 1.44

Standard deviation of X, ( $\sigma$ ) = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{(-3-1.44)^{2}+(-1-1.44)^{2}+......+(4-1.44)^{2}+(5-1.44)^{2} }{9-1} }$

= 2.603

Now, the z-score corresponding to an observed value of x of 2 is given by;

z-score = $\frac{X-\mu}{\sigma}$

= $\frac{2-1.44}{2.603}$ = <u>0.215.</u>

4 0

3 years ago

Trucks that travel on highways have to stop at various locations to be weighed and inspected for safe brakes and light systems.

IrinaVladis [17]

Answer:

The reuired probability is 0.756

Step-by-step explanation:

Let the number of trucks be 'N'

1) Trucks on interstate highway N'= 76% of N =0.76N

2) Truck on intra-state highway N''= 24% of N = 0.24N

i) Number of trucks flagged on intrastate highway = 3.4% of N'' = $\frac{3.4}{100}\times 0.24N=0.00816N$

ii) Number of trucks flagged on interstate highway = 0.7% of N' = $\frac{0.7}{100}\times 0.76N=0.00532N$

Part a)

The probability that the truck is an interstate truck and is not flagged for safety is $P(E)=P_{1}\times (1-P_{2})$

where

$P_{1}$ is the probability that the truck chosen is on interstate

$P_{2}$ is the probability that the truck chosen on interstate is flagged

$\therefore P(E)=0.76\times (1-0.00532)=0.756$

5 0

4 years ago

The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.60 per pound. How much of each type should be used

aivan3 [116]

Answer:

Pounds for cashew- 20.96

Pounds for Brazilian nut- 11.04

Step-by-step explanation:

Let c be the pounds of cashew

Let b ne the pound of Brazilian but

32×6.24

= 199.68

7.1c + 4.60b= 199.68.......equation 1

c + b= 32..........equation 2

From equation 2

c= 32-b

Sub 32-b for c in equation 1

7.1(32-b) + 4.60b= 199.68

227.3-7.1b+4.60b, = 199.68

227.3-2.5b= 199.68

-2.5b= 199.69-227.3

- 2.5b= -27.61

b= 27.61/2.5

b= 11.04

Sub 11.04 for b in equation 2

c+b= 32

c + 11.04= 32

c= 32-11.04

c= 20.96

4 0

3 years ago