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3 years ago

Which of the following similarity statements about the triangles in the figure is true?

Mathematics

1 answer:

maksim [4K]3 years ago

7 0

C is correct. You have to pay attention to the corresponding sequences of the vertices. C is correct because in the three triangles, MON, MPO, OPN are the right angles, respectively. However, the angles are not consistent in other given choices.

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#1) PLEASE HELP WITH QUESTION, MARKING BRAINLIEST.

babymother [125]

I think the answer is -16y=x^2

6 0

3 years ago

Find the Net Pay: $678 gross pay, Federal Withholding $132, FICA $51.87, State $43.15, Health $13.25?

GuDViN [60]

Answer:

$ 437.73

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that

wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\lambda x}$

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

In all 3 cases, we want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = 1 - e^{-5\lambda}$

(a) lambda=.5

$P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821$

(b) lambda=0.9

$P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111$

(c) lambda=1.1

$P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

7 0

3 years ago

You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which

Liono4ka [1.6K]

step 1

Subtract 14 from 50

50-14=36

$p+14\leq50$

If you solve for p

$p\leq36$

the answer is the second option

3 0

11 months ago

James invested $300 in a bank account that earns simple interest. He earns $24 at the end of 12 months. James invests $500 at th

NARA [144]

Answer: $40

Step-by-step explanation:

The key formula to use for this problem is the simple interest formula, which is $I=prt$ ; where I is the interest earned, p is the principal (initial) amount, r is the interest rate, and t is the amount of time that passes.

Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate: $r=I/pt$ . We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.

We should now have: $r=\frac{24}{300*1}=0.08$

Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of $I=prt$

This should result in $I=500*0.08*1=40$

Therefore, James will receive $40 on his $500 investment after 12 months.

4 0

3 years ago