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3 years ago

V=u+at to find the velocity,when

Mathematics

1 answer:

Tanzania [10]3 years ago

4 0

Answer:

108 m/s

Step-by-step explanation:

Given,

Initial velocity ( u ) = 3 m/s

Acceleration ( a ) = 15 m/s^2

Time ( t ) = 7 seconds

To find : Final velocity ( v ) = ?

Formula : -

v = u + at

= 3 + ( 15 ) ( 7 )

= 3 + 105

= 108 m/s

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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 X denote the number of green candies.

The probability of green candies is, p = 0.20.

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

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 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.

7 0

3 years ago

Write a real-world problem that can be represented by a rule and a table using division

LuckyWell [14K]

A company makes different size square containers. How can you find the length of each side if you know the perimeter of each of the containers? Represent your answer in a table, and right and equation that shows the rule used. You would write the equation x/4=y. I would create an input/output table with the labels x and y. I would then write various lengths for the perimeters and use the rule of dividing by 4 to find the y values.

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3 years ago

What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

frozen [14]

Short Answer 28
If I'm reading this correctly it is 28.
2 is a prime number.
7 is also a prime

They are multiplied together to give 2*7 = 14

When you divide 28/14 you get 2 which is the smallest prime.
28 <<< Answer

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3 years ago

A parallelogram in a circumscribed circle must be a

Aleonysh [2.5K]

Hi!

//gm circumscribed by a circle must be a cyclic quadrilateral.

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3 years ago

I need help solving

Nastasia [14]

Step-by-step explanation:

Divide a percentage by 100% to convert it.

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3 years ago