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Rom4ik [11]
3 years ago
14

The ratio of boys to girls in a class is 2:3 if there are 18 girls in the class how many boys are there

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

  12 boys

Step-by-step explanation:

Multiply the ratio numbers by 6 and you have

  boys : girls = 2 : 3 = 12 : 18

There are 12 boys in the class.

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1. What is the difference between 6 and 3<br> A. 6+3<br> B. 6-3<br> C. 6/3<br> D. 6x3
antiseptic1488 [7]

Answer:

B. 6-3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Among cases of heart pacemaker malfunctions, were found to be caused by firmware, which is software programmed into the device.
alex41 [277]

Complete question is;

Among 8834 cases of heart pacemaker malfunctions, 504 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in three different pacemakers randomly selected from this batch of 8834 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted?

Answer:

P(All three are not caused by firmware) = 83.84%

Probability that the entire batch will be accepted = 0.8384

Step-by-step explanation:

We are told that out of the 8834 cases of heart pacemaker malfunctions, 504 were found to be caused by firmware.

Thus,

Cases not caused by firmware = 8834 - 504 = 8330

So, probability of the first case not being affected by firmware is;

P(first case not caused by firmware) = 8330/8834

Also,

Probability of second case not being affected by firmware is given as;

P(second case not caused by firmware|first case not affected by firmware) = 8329/8833

Similarly,

Probability of third case not being affected by firmware is given as;

P(third case not caused by firmware|first and second not caused by firmware) = 8328/8832

Now, looking at the 3 Probabilities gotten, it is obvious that the events are not independent because the probability of occurence of one event depends on the probability of occurence of the other event.

Thus, we will make use of the general multiplication rule which is;

P(A & B) = P(B) × P(A|B)

Thus;

P(All three not caused by firmware) = P(first case not caused by firmware) × P(second case not caused by firmware|first case not affected by firmware) × P(third case not caused by firmware|first and second not caused by firmware)

Plugging in the relevant values, we have;

P(All three not caused by firmware) = (8330/8834) × (8329/8833) × (8328/8832)

P(All three are not caused by firmware) = 0.83840506679 ≈ 83.84%

6 0
3 years ago
An equation is given below.
docker41 [41]

Answer:

The correct option is  D.Any real number value of x satisfies the equation.

Hope it helps.............

6 0
3 years ago
Ppplllzzz hhhheeelllllllpppppp ​
timama [110]

Answer:

65

Step-by-step explanation:

Formula: 1/2bh

An isosceles triangle has at least 2 sides equal, so the blank side is 13.

base=10

height=13

13*10=130

half of that is 65

5 0
3 years ago
HELP! ASAP!
Novosadov [1.4K]

Step-by-step explanation:

Part A:

So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)

v = x(4-2x)(8-2x)

Part B:

The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation

so for the x in front it must be greater than 0 to make sense

for the (4-2x), the x must be less than 2 or else the width is  negative.

for the (8-2x) the x must be less than 4 or else the length is negative

so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0

By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317  

5 0
2 years ago
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