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VashaNatasha [74]
3 years ago
12

Easy and also crown if right.

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

  • - 8n + 9

Step-by-step explanation:

<u>Given</u>

  • A = -3n + 2
  • B = 5n - 7

Find A - B by substitution

  • A - B =
  • - 3n + 2 - (5n - 7) =
  • - 3n + 2 - 5n + 7 =
  • - 8n + 9
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Find the area of a circle with a radius of 21 feet. Use 22/7 for pi.
shusha [124]

Answer:

1386 square units

Step-by-step explanation:

Area of a cirlce = Pi x r^2 [ Pi is 22/7 as stated in question]

22/7 x 21^2 = 1386 sq. units

5 0
4 years ago
What is the better buy?
White raven [17]

Answer: Option B is the cheaper deal (the 12 batteries for $14.76)

===========================================================

Explanation:

For the first deal we can say

3 batteries = 4.80 dollars

3/3 batteries = 4.80/3 dollars .... divide both sides by 3

1 battery = 1.60 dollars

The unit price for the first deal is $1.60 per battery.

----------------------------------

For the second deal we could say

12 batteries = 14.76 dollars

12/12 batteries = 14.76/12 dollars .... divide both sides by 12

1 battery = 1.23 dollars

The unit price for the first deal is $1.23 per battery.

This is the cheaper deal.

----------------------------------

So in short, you're dividing the total cost over the number of items to get the unit price.

4 0
3 years ago
Read 2 more answers
Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. T
saw5 [17]

Answer:

Step-by-step explanation:

Given

See attachment for figure

CA = 4

CA' = 16

Required

The scale factor (k)

Since point C is the center of dilation, the scale factor (k) is calculated using:

k = \frac{CA + CA'}{CA}

So, we have:

k = \frac{4+16}{4}

k = \frac{20}{4}

k = 5

8 0
3 years ago
Police estimate that​ 25% of drivers drive without their seat belts. If they stop 6 drivers at​ random, find the probability tha
Furkat [3]

Answer:

17.80% probability that all of them are wearing their seat belts.

Step-by-step explanation:

For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Police estimate that​ 25% of drivers drive without their seat belts.

This means that 75% wear their seatbelts, so p = 0.75

If they stop 6 drivers at​ random, find the probability that all of them are wearing their seat belts.

This is P(X = 6).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.1780

17.80% probability that all of them are wearing their seat belts.

3 0
3 years ago
Read 2 more answers
Please help me with this homework
devlian [24]

Answer:

Well rewriting literal equations can help you understand better and you'll have more room to write the answer and figure it out.

Step-by-step explanation:

8 0
3 years ago
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