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jeka94
3 years ago
8

What do these triangles have in common - what would we call these?

Mathematics
1 answer:
Viktor [21]3 years ago
3 0
Isosceles Triangles. They all have 2 sides that are equal lengths.
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An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar
konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0
2 years ago
An insect crawls 30 inches in 16.3 minutes. If
omeli [17]

Answer:

Step-by-step explanation:

Convert 6 hours to minutes so that 6 hours and 16. 3 minutes can be in the same units.

Since 1 hour = 60 minutes, then 6 hours = 6 x 60 minutes = 360 minutes

Since the insect has more minutes to crawl (360 minutes), then we expect more inches to be covered. Therefore, the ratio is 360 minutes to 16.3 minutes

= 360 minutes : 16.3 minutes

= 360 : 16.3  

Now express the ratio as fraction and relate it with 30 inches

= 360/16.3  x  30/1

= 10800/16.3

= 662 .576687 and this is approximately 650 inches

Answer  = 650 = (C)

3 0
2 years ago
Which word best replaces shakes in rapid motion to be more precise
Zielflug [23.3K]

Answer:

flutter, flap, beat, agitate, vibrate; tremble          could be one of these

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Help if you can please
Gennadij [26K]

Answer:

10 coconut cupcakes

Step-by-step explanation: so, here is what we do since there is 8 cupcakes sold and 4 of them are coconut cupcakes we divide. this is hard to explain but we know that 8 divided by 4 is 2 so we have to multiply to 20 so like 2 times 10 which gives us 20. then we use the answer that we got from multiplying which is 10 as our answer if that makes sense.

6 0
2 years ago
Use a table to find two consecutive integers between which the solution lies.
jolli1 [7]

Answer:

  -5 and -4

Step-by-step explanation:

It is far easier just to solve the equation than to determine appropriate integer bounds on the solution.

In the attachment, we show a couple of initial trials at solutions. The nearness of y=5 to being correct suggests that the next higher integer may be helpful, too. It is.

We find -4 and -5 to bracket the solution.

_____

The actual solution is (3.4 -1.3)/-0.5 = -4.2.

4 0
3 years ago
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