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Bumek [7]
2 years ago
6

Which of these numbers: 3, 4, 18, 111, 123, 340, 345, 456, 555 ... Are multiples of 3, but not multiples of 9? ​

Mathematics
2 answers:
Stella [2.4K]2 years ago
3 0

Answer:

555,3, 111, 123, 345, 456

mamaluj [8]2 years ago
3 0
Numbers 3, 111, 123, 345, 456 and 555 are multiples of 3 but not 9.
Divisibility rule of 3 = The sum of digits should be divisible by 3

Example : 123 / 3 = (1 + 2 + 3) / 3 = 6/3
Therefore 123 is divisible by 3 because 6 is divisible by 3

Divisibility rule of 9 = Sum of digits should be divisible by 9

Example 135 / 9 = (1 + 3 + 5) / 9 = 9 / 9
Therefore 135 is divisible by 9 because 9 is divisible by 9

Hope this helps
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You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the
igomit [66]

Answer:

B.

Step-by-step explanation:

Given,

The time for set up the game =  5\frac{1}{6} minutes,  

Also, the time for each level of game is 7\frac{1}{3\\} minutes,  

If there are l levels of games,  

Then the time taken in all levels of game = (7\frac{1}{3}) l<em> </em>

Hence, the total time ( in minutes ) = Set up time + time in all level

= 5\frac{1}{6} +(7\frac{1}{3}) l

We have 60-minute of free trial of the game,

So, the total time taken can not be exceed to 60 minutes,

= 5\frac{1}{6} +(7\frac{1}{3}) l\leq 60

Which is the required inequality.  

Option 'B' is correct.

5 0
1 year ago
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,564 miles, with a standard
DerKrebs [107]

Answer:

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 48564, \sigma = 3293, n = 281, s = \frac{3293}{\sqrt{281}} = 196.44

What is the probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct?

This is the pvalue of Z when X = 48101. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{48101 - 48564}{196.44}

Z = -2.36

Z = -2.36 has a pvalue of 0.0091

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

6 0
2 years ago
Please help. It's algebra
spayn [35]

Answer: For the first option it is 28y^2 +31y - 10

Step-by-step explanation: Hope this helps

7 0
2 years ago
Your job pays $8 per hour. (a) Write an algebraic expression for your pay in dollars for working h hours. (b) What is your pay i
Korvikt [17]
P = 8h.....where P stands for pay

if u work 36 hrs...
P = 8(36)
P = 288 <==
4 0
2 years ago
Read 2 more answers
Find the y-intercept for the parabola defined by
wolverine [178]

Answer:

12

Step-by-step explanation:

Set x=0

when you do that, you will find the point where y=12 since x^2+8x=0, but adding the 12 moves up the y-component by 12 units

4 0
2 years ago
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