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2 years ago

⦁ Find the length of the third angle of a triangle given that the first two angles are 35 and 70. Show your work.

Mathematics

1 answer:

UNO [17]2 years ago

3 0

180 - 70 = 110
110 - 35 = 75
The third angle is 75

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Which side is opposite angle 0? Which side is opposite angle w? I Which side is adjacent to angle o? Which side is adjacent to a

Katena32 [7]

Answer:

1=b

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4=b

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2 years ago

The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0

dedylja [7]

Answer: a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

$P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413$

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

$P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987$

Hence, a) 0.8413, b) 0.9987.

4 0

2 years ago

A Poker club has 10 members. A president and a vice-president are to be selected. In how many ways can this be done if everyone

Nesterboy [21]

Answer:

90 different ways

Step-by-step explanation:

We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.

To solve this problem, we need to calculate a permutation of 10 choose 2.

The formula for a permutation of n choose p is:

$P(n, p) = n! / (n - p)!$

So we have:

$P(10, 2) = 10! / (10 - 2)!$

$P(10, 2) = 10! / 8!$

$P(10, 2) = 10*9 = 90$

So there are 90 different ways of choosing a president and a vice-president.

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3 years ago

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Alexeev081 [22]

Answer:

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2 years ago

Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope

IrinaVladis [17]

Answer:

The correct answer is option B.

Step-by-step explanation:

Two point form of the equation:

$(y-y_1)=\frac{y_2-y_1}{x_2-x_1}\times (x-x_1)$