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3 years ago

6

Angles M and N are complementary. The measure of M is 27°. What is mN?

2 answers:

Vlad [161]3 years ago

5 0

Answer:

B.90

Step-by-step explanation:

The sum of the measures for complementary angles adds up to 90°

finlep [7]3 years ago

4 0

Answer:

A. 63 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. You can make an equation to solve for angle N:

27 + x = 90

rearrange the equation:

90 - 27 = x

63 = x

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PUZZLE: six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes?

Korolek [52]

Six i think cause it take each wolf 6 minutes to catch a lamb so it should still be six

4 0

3 years ago

Please help me, I've been stuck on this problem forever and I need help! Please don't answer with something random to get points

vodomira [7]

1. given
2. measure angle 1 plus measure angle 2 equals 90 degrees
3. B D bisects angle A D C
4. definition of angle bisector
5. definition of congruence
6. measure angle 1 is equal to measure angle 3
7. angle 1 is congruent to angle 3
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hope that helps

8 0

3 years ago

Belvedere climbs a 25-meter tower to ride a straight water slide. After

ahrayia [7]

Answer:

28.7

Step-by-step explanation:

a^2 + b^2 = c^2

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Square root of 821 is 28.7.

3 0

2 years ago

(Uniform) Suppose X follows a continuous uniform distribution from 4 to 11. (a) Write down the PDF of X. (b) Find P(X ≤ 7). Roun

love history [14]

Answer:

a) $f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

b) $P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

c) $P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

d) $P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

$X \sim Unif (a=4, b =11)$

Part a

The probability density function is given by the following expression:

$f(x) = \frac{1}{b-a} , a \leq x \leq b$

$f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

Part b

We want this probability:

$P(X \leq 7)$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}= \frac{x-4}{11-4}$

And replacing we got:

$P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

Part c

We want this probability:

$P(5 < X \leq 7)$

And we can use the CDF again and we have:

$P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

Part d

We want this conditional probabilty:

$P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

7 0

3 years ago

Calculate the amount of interest earned on a $2,000 investment made for 2 years at 3% p.a..

Mrrafil [7]

PxRxT
=$2,000 x 3% (0.03)
=$60 x 2 years
=$120
The answer is $120

8 0

3 years ago