Complete question :
The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?
Answer:
-6°F
Step-by-step explanation:
Temperature at 5am (t1) = - 6°F
Temperature at 3pm (t2) = 36°F
Change in temperature, between 5am and 3pm:
(t2 - t1) = (36 - (-6)) = (36 + 6) = 42°F
Hence, temperature at 8:00 pm:
High temperature - change in temperature between (5am - 3pm)
36°F - 42°F = - 6°F
Answer:
Step-by-step explanation:
Because those 2 lines are parallel, then 2x + 10 and 2x - 30 are same side interior and are supplementary. Therefore,
2x + 10 + 2x - 30 = 180 and
4x - 20 = 180 and
4x = 200 so
x = 50
Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as

here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.
Answer:
0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of grabbing a nickel:
19 nickels out of 17+10+19+23 = 69 coins, so:

Probability of grabbing a penny, considering the first coin grabbed was a nickel:
17 pennies out of 68 coins. So

What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny?

0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.