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3 years ago

Find the absolute value of... |7| -7 or 7?

Mathematics

2 answers:

OlgaM077 [116]3 years ago

6 0

Answer:

Step-by-step explanation:

absolute value is the positive numeric value of the number between the lines.

erastova [34]3 years ago

3 0

The answer to this is 7

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Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. refer to exhibit 6-

tatyana61 [14]

(25 -21)/(28 -20) = 4/8 = 1/2

Your probability is 1/2.

7 0

3 years ago

The faces of a fair cube are numbered 1 through 6; the probability of rolling any number from 1 through 6 is equally likely. If

Anika [276]

Answer:

1/12

Step-by-step explanation:

Probability of an even number

3/6 = 1/2

Probability of one showing up

1/6

Probably of even number on first try and 1 on second try

1/2 * 1/6 = 1/12

3 0

3 years ago

Zhang Lei spent $20.00 during his last outing at the bowling alley. This included a one time shoe rental fee of $3.50. He spent

Afina-wow [57]

Answer: The cost per game is $5.5

Step-by-step explanation:

Zhang Lei spent $20.00 during his last outing at the bowling alley. There is a one time shoe rental fee of $3.50. He spent the rest of the money on bowling a number of games.

This means that amount paid for x number of games = 20 - 3.5 = $16.5

If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, total time spent in minutes is 120+ 15 = 135 minutes. Therefore, the number of games is played is 135/45 = 3

If the total number of games played cost 16.5, therefore, the cost per game will be 16.5/3 = $5.5

4 0

3 years ago

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig

Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

7 0

3 years ago

Show 2 different solutions to the task.

laila [671]

Answer with Step-by-step explanation:

1. We are given that an expression $n^2+n$

We have to prove that this expression is always is even for every integer.

There are two cases

1.n is odd integer

2.n is even integer

1.n is an odd positive integer

n square is also odd integer and n is odd .The sum of two odd integers is always even.

When is negative odd integer then n square is positive odd integer and n is negative odd integer.We know that difference of two odd integers is always even integer.Therefore, given expression is always even .

2.When n is even positive integer

Then n square is always positive even integer and n is positive integer .The sum of two even integers is always even.Hence, given expression is always even when n is even positive integer.

When n is negative even integer

n square is always positive even integer and n is even negative integer .The difference of two even integers is always even integer.

Hence, the given expression is always even for every integer.

2.By mathematical induction

Suppose n=1 then n= substituting in the given expression

1+1=2 =Even integer

Hence, it is true for n=1

Suppose it is true for n=k

then $k^2+k$ is even integer

We shall prove that it is true for n=k+1

$(k+1)^1+k+1$

= $k^1+2k+1+k+1$

= $k^2+k+2k+2$

=Even +2(k+1)[/tex] because $k^2+k$ is even

=Sum is even because sum even numbers is also even

Hence, the given expression is always even for every integer n.

3 0

3 years ago