Answer:
b) 20
Step-by-step explanation:
Here m∠C = 90, It is a right triangle.
So we can use the Pythagorean theorem.
b = √(c^2 - a^2)
Given: a =21 and c = 29. Now let's plug in these values in the above formula, we get
b = √(29)^2 - (21)^2
b = √(841 - 441)
b = √400
b = 20
Therefore, the side length b = 20.
Hope this will helpful.
Thank you.
Answer:
Hypothesis rejected
Step-by-step explanation:
Lets use the t-test since the variance of the population is now known. We need to test the hypothesis that H_0: \mu \leq 79 \text{ vs } H_1: \mu > 79 . This is performed in R as follows:
t.test(tt$Test.2.Score,mu=79,alternative="greater")
One Sample t-test
data: tt$Test.2.Score
t = 2.9238, df = 69, p-value = 0.002337
alternative hypothesis: true mean is greater than 79
95 percent confidence interval:
81.26555 Inf
sample estimates:
mean of x
84.27143
Thus, we reject the null hypothesis and conclude that \mu > 79.
First, we find the volume of the pool.
3.8*5.5*1.2= 25.08.
Then we convert the feet into gallons.
25.08*7.5 = 188.1
The pool will hold 188.1 gallons of water.
Recall: distance = rate times time.
To determine how far apart the two cars will be after four hours of travel, subtract the sum of the distances traveled from 200 mi:
Distance apart after four hours = 200 mi - (40 mph)(4 hrs) - (35 mph)(4 hrs)
= 200 mi - 160 mi - 140 mi = -100 mi
The wording of your question implies that the cars will not yet have met after four hours of travel. This negative result is absurd. Please ensure that you have copied down the problem completely and accurately.
Machine C makes 75 candies per minute.
Machine D makes 130 candies per minute.
Difference is 55
55 * 11 minutes = 605 candies.
