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3 years ago

4. In an electrical circuit it is known that the voltage V varies as the current I

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

8 0

Step-by-step explanation:

V∝I

V=kI

36=k*8

k=36/8

k=4.5

a. V=4.5I

b. V=4.5*14

V= 63

c. 27=4.5I

I=27/4.5

I= 6

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What is 12.38 expanded in form

Lana71 [14]

12.38 in expanded form is write like:-

10 + 2 + .3 + .08 = 12.38

To write a number in expanded form just means to write the number in a layout and when you add it up it will become the number you needed to write in expanded form.

So, 12.38 written in expanded form is:- 10 + 2 + .3 + 0.8

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3 years ago

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What is the value of s in the equation 3 r equals 10 plus 5 s, when r equals 10? 4 8 100 200

alisha [4.7K]

Answer

Step-by-step explanation:

Given,

r = 10

Let's create an equation,

$3r = 10 + 5s$

plugging the value of r

$3 \times 10 = 10 + 5s$

Multiply the numbers

$30 = 10 + 5s$

Move 5s to L.H.S and change its sign

Similarly, Move 30 to R.H.S and change its sign.

$- 5s = 10 - 30$

Calculate

$- 5s = - 20$

The difference sign ( - ) should be cancelled on both sides

$5s = 20$

Divide both sides of the equation by 5

$\frac{5s}{2} = \frac{20}{5}$

Calculate

$s = 4$

The value of s is 4.

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3 years ago

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On a normal distribution of iq test scores, the average score would be:

spayn [35]

The average IQ test score would be 100.

What is a normal distribution?

A probability distribution that is symmetric about the mean or average is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the average value occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

Average IQ Score

A score of 100 is regarded as the average IQ on various tests. The majority of results (68%) are within one standard deviation of the mean (that is, between 85 and 115). This indicates that the average result is within plus or minus 15 points for almost 70% of test takers.

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2 years ago

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let <em>X</em> denote the number of green candies.

The probability of green candies is, <em>p</em> = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, <em>n</em> = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

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3 years ago

Solve for x. Please look at the picture and answer it. Thank you.

Tatiana [17]

<h3>Answer :- </h3>

x = 24

<h3>Solution :- </h3>

2x + 42 = 90
2x = 90 - 42
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2 years ago

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