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2 years ago

In an isosceles triangle, if the measure of a base angle is 74°, what is the measure of the vertex angle?

Mathematics

1 answer:

katen-ka-za [31]2 years ago

6 0

32°

Step-by-step explanation:

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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th

Sindrei [870]

Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is

$\large P(X>t) = e^{-t/10}$

1 hour = 60 minutes, so the probability that you wait longer than one hour is

$\large P(X>60)=e^{-6}=0.0025$

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

$\large P(X\leq 10)=1-e^{-6}=0.9975$

We want x so that

P(X>x)=0.1

$\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes$

We want P(X<x)=0.9

$\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes$

4 0

3 years ago

What is the area of a circle with the diameter of 10cm ?

8_murik_8 [283]

Answer:

A≈78.54cm² Diamter= 10

Step-by-step explanation:

hope this helps

7 0

2 years ago

Read 2 more answers

Find the average of the following salaries: $38,750.00, $42,500.00, $44,500.00

sertanlavr [38]

To find the average you add all three numbers together and then divide by three since you added three.
$38,750.00 + $42,500.00 + $42,500.00 = $123,750.00
$123,750.00 ÷ 3 = $41,250
So your answer is $41,250

4 0

2 years ago

Find the measure of angle 1 A. 90 B. 110 C. 180

oee [108]

Answer:

90°

Step-by-step explanation:

5 0

3 years ago

Find the distance between (-1,4) and (5,5)

Allisa [31]

Answer:

csdkb.jacdsmvadsavbdjk.adck.jdsmvd2182943243phr23

Step-by-step explanation:

4 0

3 years ago