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-Dominant- [34]
3 years ago
8

23. Which equation is equivalent to 3x+ 4y = 15?

Mathematics
1 answer:
Vlad [161]3 years ago
5 0

Answer:

y=\frac{15}{4}-\frac{3}{4}x

Step-by-step explanation:

3x+ 4y = 15\\4y=15-3x\\y=\frac{15}{4}-\frac{3}{4}x

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Katie dropped 5 nickels on the floor. What is the probability that all the nickels will land with heads facing up?
Vinil7 [7]

Using the binomial distribution, it is found that there is a 0.03125 = 3.125% probability that all the nickels will land with heads facing up.

For each coin, there are only two possible outcomes, either it lands on heads, or it lands on tails. The landing of a coin is independent of other coins, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 5 nickels, hence n = 5.
  • They are equally as likely to land on heads or tails, hence p = 0.5

The probability that all the nickels will land with heads facing up is P(X = 5), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125

0.03125 = 3.125% probability that all the nickels will land with heads facing up.

A similar problem is given at brainly.com/question/24863377

3 0
2 years ago
The seismic wave of an earthquake is represented by the equation r = 13.2 sin(θ), where r is measured in miles. What does the 13
EastWind [94]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
In the graph above, which vertical line (v) and horizontal line (H) can be used to graph point C
alex41 [277]

Answer:

V:  x= -3

H:  y= -3

Step-by-step explanation:

4 0
3 years ago
Can u help out with this​
777dan777 [17]

Answer:

4 cm cubed

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, we know the formula for volume is L*W*H

L=4

W=1/2

H=2

4*1/2*2=4 cm cubed

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only need one more before I advance, thanks!

8 0
3 years ago
The bike store marks up the wholesale cost of all of the bikes they sell by 30%.
Dmitrij [34]

Answer:

Suppose that the wholesale of a bike is A (A is the 100% in this case). If we have an increase of 30% for the sale price, we have the new price of:

Price = A + (30%/100%)A = A + 0.3*A = (1.3)*A

Then if we know that the price tag of the bike is $125, then we have:

$125 = (1.3)*A

$125/1.3 = A = $96.15

The wholesale cost of the bike is $96.15

6 0
3 years ago
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