Hello!
This can be written as
(x) + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270
Add all the values
5x + 1 + 2 + 3 + 4 = 270
Combine like terms
5x + 10 = 270
Subtract 10 from both sides
5x = 260
Divide both sides by 5
x = 52
So the numbers are 52, 53, 54, 55, 56,
Hope this helps!
Answer:
a) P(X<50)=0.9827
b) P(X>47)=0.4321
c) P(-1.5<z<1.5)=0.8664
Step-by-step explanation:
We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.
a) This means we have to calculate P(x<50).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:
b) We have to calculatee P(x>47).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:
c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5
So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):
Answer: 1. 63; 2. 84; 3. 104 4. 1:2
Step-by-step explanation: Since Zoey has $28, and the ratio is 4:5, we can multiply the ratio by 7 on both sides so that it is 28:35, giving $35 for andrew, and this $28+$35=$63. Since the ratio of red to white marbles has a sum of 10, but there are 120, we multiply the ratio by 120/10=12, to make the ratio applicable to the scenario, so 7 times 12 = 84 red marbles. Same way for the theater question, 195/15=13, so 8 times 13= 104, and so 104 people are boys. For the last question you can simply divide both sides by 5 (or think of it as a fraction, 5/10=1/2).
Answer:
9,500,000 950,000,000
Step-by-step explanation:
Each number is 100 times the previous. Basically, add 2 zeros to get the next number.
- 9.5
- 950
- 95,000
- 9,500,000
- 950,000,000
