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timurjin [86]
2 years ago
3

On average nick walks 18000 steps every day he walks 1 mile every 3500 steps work out an estimate for the average distance in mi

les that nick walks in one year
Mathematics
1 answer:
denis23 [38]2 years ago
4 0
First, we need to know how many miles he walks in one day. To do this we must do the following:
\frac{18000}{3500} =5.14miles

Now that we know he walks 5.14 miles per-day we would multiply that by the number of days in a year, or 365.
5.14 *365=1846

So Nick walks about 1,846 miles in one year. 
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The basketball game had 500 people in attendance. If the ratio of hawk fans to cyclone fans is 2:10, how many more cyclone fans
vovangra [49]
There were 5 times the number of hawk fans :)
4 0
2 years ago
Please help me! Don't answer unless you are SURE that the answer is right, please! Will give 25 points.
Veronika [31]

the first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42

question 3

Answer:

80 + 65x ≤ 425

Step-by-step explanation:

First of all we know that the 425 must be greater than or equal to the other side, so the symbol to show that would be ≤. We also know that the forklift is a fixed price by the words 'each day'. And the to hire a single crew member would be $65 unless there are more crew workers, which would be multiplied with the 65.

question 4

Jimthompson5910Expert

Part A

Yes y is a function of x. Specifically the equation is y = x^5

For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1

Notice how if x = -1 then y = x^5 = (-1)^5 = -1

Notice how if x = -2 then y = x^5 = (-2)^5 = -32

Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,

x^5 = x*x*x*x*x

there are five copies of x multiplied

A more specific example

3^5 = 3*3*3*3*3

there are five copies of '3' multiplied

=====================================================

Part B

All we do is replace x with 4 and use PEMDAS to simplify

f(x) = 2x+12

f(4) = 2(4)+12

f(4) = 8+12

f(4) = 20

The value of f(4) is 20

What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20. 

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up

The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12

In total, variableCost+fixedCost = 8+12 = 20 = totalCost

5 0
2 years ago
Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 10 p
dimulka [17.4K]

Answer:

P(X 0.9619

Step-by-step explanation:

From the given information;

the probability of getting returned p = 0.1

If eight rings are sold today, what is the probability that fewer than three will be returned;

According to binomial distribution

Binomial distribution is the probability of success or failure of an outcome of an experiment under observation which is usually repeated several trials. Binomial experiments are random experiment with fixed number of repeated experiment. If we cannot predict before head, the outcome of an experiment , the experiment is called a random experiment.

So , using binomial distribution to determine the probability that fewer than three will be returned;

i.e

P(X \sum_{x=0}^{2}\binom{8}{x}(0.1)^{x}(1-0.1)^{8-x}

P(X 0.9619

8 0
2 years ago
Table below represents average food cost broken down by meal. If you were
Schach [20]

Answer:

D

Step-by-step explanation:

I think D at all timessz

3 0
2 years ago
According to DeMorgan 's theorem, the complement of W · X + Y · Z is W' + X' · Y' + Z'. Yet both functions are 1 for WXYZ = 1110
sergeinik [125]

Answer:

The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.

Step-by-step explanation:

According to DeMorgan's Theorem:

(W.X + Y.Z)'

(W.X)' . (Y.Z)'

(W'+X') . (Y' + Z')

Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.

For the original function:

(W . X + Y . Z)'

= (1 . 1 + 1 . 0)

= (1 + 0) = 1

For the compliment:

(W' + X') . (Y' + Z')

=(1' + 1') . (1' + 0')

=(0 + 0) . (0 + 1)

=0 . 1 = 0

Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.

Without the parenthesis the compliment equation looks like this:

W' + X' . Y' + Z'

1' + 1' . 1' + 0'

0 + 0 . 0 + 1

Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.

Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.

3 0
2 years ago
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