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3 years ago

What is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12?

Mathematics

1 answer:

mote1985 [20]3 years ago

8 0

Answer:

Step-by-step explanation:

Multiples of 16 are $16,32,48,64,80,...$

Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.

$16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24$

Here, 24 is a multiple of 12.

So,

24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.

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Given the following diagram, find the missing measure.<br> 2.<br> m_1= 30°, m 2 = 45°, m 3 =

Katyanochek1 [597]

It is 105 degrees because the area of a triangle always adds up to 180

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2 years ago

Given f(x)=-3x+3solve for x when f(x)=6

natali 33 [55]

Answer:

x = -1

Step-by-step explanation:

Given: $f(x) = - 3x + 3$

Solve for x, When: $f(x) = 6$

Step by step:

$- 3x + 3 = 6$

$- 3x = 6 - 3$

$- 3x = 3$

$x = 3 \div - 3$

$\boxed{\green{x = - 1}}$

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2 years ago

A machine used for packaging seedless golden raisins is set so that their standard deviation in the weight of raisins packaged p

Kazeer [188]

Answer:

population standard deviation does not differ from 0.25

Step-by-step explanation:

The hypothesis :

σ² = 0.25²

σ² ≠ 0.25²

The Chisquare statistic, χ²: (n-1)*s²/σ²

Where s² = sample variance ; sample size, n = 30

Using calculator, the sample variance, s² = 0.1646

χ² = (n-1)*s²/σ²

χ²: (30 - 1) * 0.1646 / 0.25²

χ² = (29 * 0.1646) / 0.0625

χ² = 0.3292 / 0.0625

χ² = 5.2672

α = 0.05

Using the Pvalue from Chisquare calculator ; df = 29

Pvalue = 1

Since, Pvalue > α ; We fail to reject the null and conclude that population standard deviation does not differ from 0.25

4 0

2 years ago

Can you answer this please

hjlf

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3 years ago

The following data summarizes results from 889 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths

pickupchik [31]

Answer:

$P(A or B) = 0.291 +0.159 -0.0562=0.3938$

Step-by-step explanation:

Previous concepts

The total probability rule is "used to find the probability of an event, A, when you don’t know enough about A’s probabilities to calculate it directly. Instead, you take a related event, B, and use that to calculate the probability for A".

Solution to the problem

The data given:

Pedestrian

Intoxicated Not intoxicated Total

Intoxicated 50 91 141

Not intoxicated 209 539 748

Total 259 630 889

The rows on this case are associated to the tyep of Driver.

Let's define the following events:

A =Pedestrian was intoxicated

B= Driver was intoxicated

And we can find the probabilities for the events A and B like this with the info given:

$P(A) = \frac{50+209}{889}=0.291$

$P(B) = \frac{50+91}{889}=0.159$

We can find also the probaility that pedestrian was intoxicated AND driver was intoxicated, like this:

$P(A and B) = \frac{50}{889}=0.0562$

Because the intersection for the events A and B is 50 and the grand total is 889.

Now we can use the total rule of probability given by this:

$P(A or B) = P(A) +P(B) -P(A and B)$

And since w ehave everything to replace we got:

$P(A or B) = 0.291 +0.159 -0.0562=0.3938$

7 0

3 years ago