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Ivenika [448]
3 years ago
11

Carlos used 6 boards to build 2/3 of a front porch. How many boards will Carlos use to build the whole porch? Express your answe

r in simplest form.
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0

Answer:

9 boards

Step-by-step explanation:

2/3 of the porch= 6 boards

so to figure out how much one third of the porch needs you find half of what it takes to fill in 2/3 of the porch and you get 3.

so 3=1/3 of the porch

then you simply do 3times 3 or 3+3+3 and you get 9

so it takes 9 boards to fill the whole porch

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aliina [53]

Answer:

The answer is B) -\frac{2}{21}

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2 years ago
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde
n200080 [17]

Answer:

(a)

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

(b)

P(3 \le x \le 6) = 0.30

P(4 \le x)=0.60

Step-by-step explanation:

Given

F(x) = \left[\begin{array}{ccc}0& x

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}

The calculation is as follows:

0.30 - 0 = 0.30

0.40 - 0.30 = 0.10

0.45 - 0.40 = 0.05

0.60 - 0.45 = 0.15

1 - 0.60 = 0.40

The x values are gotten by considering where the equality sign is in each range.

1 \le x < 3 means x = 1

3 \le x < 4 means x = 3

4 \le x < 6 means x=4

6 \le x < 12 means x = 6

12 \le x means x = 12

Solving (b):

(i)\ P(3 \le x \le 6)

This is calculated as:

P(3 \le x \le 6) = F(6) - F(3-)

From the given function

F(6)= 0.60

F(3-) = F(1) = 0.30

So:

P(3 \le x \le 6) = 0.60 - 0.30

P(3 \le x \le 6) = 0.30

(ii)\ P(4 \le x)

This is calculated as:

P(4 \le x)=1 - F(4-)

P(4 \le x)=1 - F(3)

P(4 \le x)=1 - 0.40

P(4 \le x)=0.60

8 0
2 years ago
Which of the following equations describes the line shown
Arisa [49]
(-4,4) , (2,1)
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(y-y1)=m(x2-x1)
y-4=-1/2(x+4)
y-1=-1/2(x-2)

A,F
5 0
3 years ago
Find the product of -4x 3 y 2(7xy 4)
Lesechka [4]

Answer:

What are the signs between the numbers?

Step-by-step explanation:

4 0
2 years ago
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He gets paid £6.80 per hour<br> how many hours for 9 and half hours
Akimi4 [234]

Answer: 64.60

Step-by-step explanation:

lets do 6.80x9

= 61.20

for the half an hour, divide 6.80 by 2

it would be 3.40

61.20+3.40= 64.60

5 0
3 years ago
Read 2 more answers
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