<em>Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.</em>
<em> b² = a² + c² - 2ac(cosB)</em>
<em>Substituting the known values,</em>
<em> (1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)</em>
<em>The value of B from the equation is 48.6°. </em>
Hello!
Divide the amount of chairs (30) that 12 people can build by the number of hours (8) it takes to build them, to find out how many chairs they make per hour.
30 ÷ 8 = 3.75
This means that they make they make 3.75 chairs per hour. Multiply this by 100 hours.
3.75 × 100 = 375
ANSWER:
The people can build D. 375 chairs in 100 hours.
Answer:
a) 0.1587
b) 0.0475
c) 0.7938
Step-by-step explanation:
Let's start defining our random variable.
X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''
X is modeled as a normal random variable.
X ~ N(μ,σ)
Where μ is the mean and σ is the standard deviation.
To calculate all the probabilities, we are going to normalize the random variable X.
We are going to call to the standard normal distribution ''Z''.
[(X - μ) / σ] ≅ Z
We normalize by subtracting the mean to X and then dividing by standard deviation.
We can find the values of probabilities for Z in a standard normal distribution table.
We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''
a)

Φ(-1) = 0.1587
b)


1 - Φ(1.666) = 1 - 0.9525 = 0.0475
c)

Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938
Answer:
15+c=17.50 First you subtract 15 by 15 because you switch operations from adding to subtracting then you would put C under it Second subtract 17.50 and 15 and that is 2.50 so C= 2.50
i need help please What is the total number of drawSprites(); you can have in a program? *
Step-by-step explanation:
Answer: He spends more time trading stickers by 15 minutes.
Step-by-step: 1 hour is 60 minutes. So 2 hours is 120 minutes. 120 minutes plus his 20 minutes is 140 minutes. Subtract it from his homework time and he spends 15 more minutes trading stickers.