Step-by-step explanation:
$ 900 is the answer. as i shown in the attachment
Answer:
x = -10/3
Step-by-step explanation:
−4(x−5)=−7x+10
Use the distributive property to multiply −4 by x−5.
−4x+20=−7x+10
Add 7x to both sides.
−4x+20+7x=10
Combine −4x and 7x to get 3x.
3x+20=10
Subtract 20 from 10 to get −10.
3x=−10
Divide both sides by 3.
x = -10/3
Answer:
Jerry has 9 action figures.
Step-by-step explanation:
Since Tom has three times as many action figures as Jerry, Tom has 3x action figures, where x is the number of action figures that Jerry has.
Since Tom has 27 action figures, we can say that <u>3x=27</u>.
3x=27
x=9
Answer:
A researcher is interested in comparing the usage of bank debit cards by consumers in rural (r) and urban (u) areas. Each year for the past five years, she has surveyed 500 individuals (one‑half urban, one‑half rural) randomly selected from across the United States. She is specifically interested in any differences that may exist between the two groups with regard to usage. The results of the current study indicate that people in urban areas use bank debit cards 12 times per month on average, while those in rural areas use bank cards 10 times per month on average. Which of the following is the null hypothesis that the researcher should use in comparing the usage rates?
Option C is the correct answer.
Step-by-step explanation:
The null hypothesis is the hypothesis of no difference. Therefore, the appropriate null hypothesis will be:
There is no difference in the average monthly usage of debit cards between urban and rural people.
Therefore, option C is the correct answer.
Answer: a. 0.05
b. 0.40
c. 0.85
Step-by-step explanation:
Let F= Event that a certain motorist must stop at the first signal.
S = Event that a certain motorist must stop at the second signal.
As per given,
P(F) = 0.45 , P(S) = 0.5 and P(F or S) = 0.9
a. Using general probability formula:
P(F and S) =P(F) + P(S)- P(F or S)
= 0.45+0.5-0.9
= 0.05
∴ the probability that he must stop at both signals = 0.05
b. Required probability = P(F but (not s)) = P(F) - P(F and S)
= 0.45-0.05= 0.40
∴ the probability that he must stop at the first signal but not at the second one =0.40
c. Required probability = P(exactly one)= P(F or S) - P(F and S)
= 0.9-0.05
= 0.85
∴ the probability that he must stop at exactly one signal = 0.85
