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mash [69]
3 years ago
7

The. sum of two consecutive. integers. is 17

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0
X+(x+1)=17
So 2x+1=17
Which means 2x=16
Which then means x=8
But you still need the second number, which is x+1, so 8+1=9.
This means that the consecutive numbers are 8 and 9.
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The equation A = 125 gives the amount, in grams, of a radioactive substance
Helen [10]

Answer:

y=125a+1

Step-by-step explanation:

4 0
3 years ago
-3a + 6b= a + 4b<br> Write a formula for f (a) <br> in terms of a.
belka [17]

Answer:The formula for a can be calculated by the following steps;

Step-by-step explanation:

-3a-a=4b-6b

-4a=-2b

cancelling the negative sign;

4a=2b

a=2b/4

a=b/2

7 0
3 years ago
Read 2 more answers
When grading an exam, 90% of a professor's 50 students passed. If the professor randomly selected 10 exams, what is the probabil
Damm [24]

Using the binomial distribution, it is found that there is a:

a) 0.9298 = 92.98% probability that at least 8 of them passed.

b) 0.0001 = 0.01% probability that fewer than 5 passed.

For each student, there are only two possible outcomes, either they passed, or they did not pass. The probability of a student passing is independent of any other student, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial probability distribution formula?</h3>

The formula is:

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:

  • 90% of the students passed, hence p = 0.9.
  • The professor randomly selected 10 exams, hence n = 10.

Item a:

The probability is:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)

In which:

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

P(X = 8) = C_{10,8}.(0.9)^{8}.(0.1)^{2} = 0.1937

P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874

P(X = 10) = C_{10,10}.(0.9)^{10}.(0.1)^{0} = 0.3487

Then:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1937 + 0.3874 + 0.3487 = 0.9298

0.9298 = 92.98% probability that at least 8 of them passed.

Item b:

The probability is:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Using the binomial formula, as in item a, to find each probability, then adding them, it is found that:

P(X < 5) = 0.0001

Hence:

0.0001 = 0.01% probability that fewer than 5 passed.

You can learn more about the the binomial distribution at brainly.com/question/24863377

3 0
2 years ago
Find the value of the following expression:
Illusion [34]
Ok, so first you solve whatever is in the parentheses.
(28 • 5-5 • 190)-2•228
28• 5 = 140
Then 5 •190 = 950
Then multiply 950 • 140 = 133,000
Then it should look like this:
133,000-2•228
Multiply 2 • 228 = 456
Then subtract 456 from 133,000.
The answer should come out to 132,544.
3 0
3 years ago
Miguel has 225 baseball cards. He plans to keep 75 cards and give the rest to his friends.
jenyasd209 [6]

yes and no answer+the math:

1) yes
2) yes

1) so if you take 255-75 you get 180 now keep that in mind for number 2, when you divide 180 by 6 you will get 30 so we can give 30 cards to everyone

2) remember the 180? were using it again. if you do 180 and divide that by 4 you get 45 so we can give 45 cards to everyone.

hope this helps!

7 0
2 years ago
Read 2 more answers
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