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4 years ago

Find the lateral area for the cylinder with the given measurement. r = 4, h = 5

Mathematics

1 answer:

Ivanshal [37]4 years ago

4 0

AL≈125.66r-Radiush-Height

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P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. Th

Tomtit [17]

Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

$T_{n} = 4n -2$

$r^{th} term$ : $4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21$

5 0

2 years ago

A jar is filled with 1,000 jellybeans. Each day, you eat 3 jellybeans. If you graphed the number of jellybeans in the jar as the

SpyIntel [72]

The answer is D because your adding more days so the jellybeans will decrease

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3 years ago

You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 7? (Enter your answer as a fr

Lera25 [3.4K]

Answer:

a) 0.167 b)0.056 c)0.023

Step-by-step explanation:

We are given the following information:

Sample space = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Total number of outcomes = 36

Formula:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

a) P(sum is 7)

Sum 7 possible outcomes = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

$= P = \displaystyle\frac{6}{36} = \displaystyle\frac{1}{6} = 0.167$

b) P(sum is 11)

Sum 11 possible outcomes = {(5,6), (6,5)}

$= P = \displaystyle\frac{2}{36} = \displaystyle\frac{1}{18} = 0.056$

c) P( sum is 7 or sum is 11)

$= P(\text{sum is 7}) + P(\text{sum is 11}) - (P(\text{sum is 7}\cap \text{sum is 11})) \\= \displaystyle\frac{6}{36} + \displaystyle\frac{2}{36} + 0\\\\= \displaystyle\frac{8}{36} = \displaystyle\frac{2}{9} = 0.223$

7 0

4 years ago

Kaylee has 2 gallons each of red and blue paint, and 1 gallon each of orange and green paint. She paints her bedroom with these

Aleks04 [339]

Answer:

3( 73/84 )left over

Step-by-step explanation:

She had 6 gallons in total

2/3+1/4+1/2+5/7=179/84 = 2 ( 11/84)

6/1-179/84 = 325/84 = 3(73/84)

She used 179/84

She have left 325/84

179/84 + 325/84 = 6

With mixed numbers:

2 11/84

3 73/84

2+3=5 11/84+73/84= 84/84 =1

5+1=6

8 0

4 years ago

Solve the system of equations X=11+y 2x+y=19

raketka [301]

Answer:

Step-by-step explanation:

To solve this system of equations, let's first find the value y. We can replace the x in the second equation with 11 + y, since we are told in the first equation that x is equal to 11 + y. So, let's replace x:

2(11 + y) + y = 19

22 + 2y + y = 19

22 + 3y = 19

3y = -3

y = -1

And look at that - we've found our y-value! Now, we can replace the y in the first equation with -1 to find the value of x.

x = 11 + (-1)

x = 10

So, the solution to this system of equations is (10, -1). Hopefully that's helpful!

6 0

3 years ago

Read 2 more answers