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Nadusha1986 [10]
2 years ago
12

The diagram below shows two

Mathematics
1 answer:
LiRa [457]2 years ago
6 0

Answer:

4 cm

Step-by-step explanation:

\frac{8}{ST}  = \frac{4}{2} \\\\ST = 8*2 / 4\\ST = 4

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A copy machine makes 24 copies per minute. How many copies does it make in 3 minutes and 15 seconds?
ANTONII [103]

Answer: the first answer is 72

Step-by-step explanations

24x3=72

4 0
3 years ago
Find the indicated probability.
natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

<u>Recall:</u>

  • Binomial Distribution --> P(k)={n\choose k}p^kq^{n-k}
  • P(k) denotes the probability of k successes in n independent trials
  • p^k denotes the probability of success on each of k trials
  • q^{n-k} denotes the probability of failure on the remaining n-k trials
  • {n\choose k}=\frac{n!}{(n-k)!k!} denotes all possible ways to choose k things out of n things

<u>Given:</u>

  • n=10
  • k=4
  • p^k=0.53^4
  • q^{n-k}=(1-0.53)^{10-4}=0.47^6
  • {n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210

<u>Calculate:</u>

  • P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0
2 years ago
Can someone please help me with both b and c
Lesechka [4]
B)
To go from fig. 1 to fig.2 you would dialate 1:3, or 3 times the size

c)
The opposite would be true since you are going the opposite direction. 3:1, 1/3 of the size

Hope this helps:)
8 0
3 years ago
A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other.
Alex Ar [27]

Answer:

  • 24 inches
  • 120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

5 0
2 years ago
Simplify the expression 4p-5(p-6)
STatiana [176]
4p-5p+30 just multiply everything in the brackets by what's not
3 0
3 years ago
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