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Blababa [14]
3 years ago
14

Where does the function y=2x-7 cross the y axis

Mathematics
1 answer:
nevsk [136]3 years ago
6 0
Let x=0, then we will get 2 (0)-7=-7. So the answer will be (0,-7)
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Solve the equation and find value of 'x' in 2x=(360/4)
uranmaximum [27]
2x = 360/4
x = 90 / 2
x = 45

Hope this is the answer you are looking for! 
8 0
3 years ago
Convert 30% to a fraction in simplest form
icang [17]
30% is equivalent to the fraction 3/10
As 3/10 cannot be simplified anymore, it is your final answer.
8 0
3 years ago
Read 2 more answers
Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.30, find the following probabilities using
AlladinOne [14]

Answer:

<u></u>

  • <u>a) P(X=1) = 0.302526</u>
  • <u>b) P(X=5) = 0.010206</u>
  • <u>c) P(X=3) = 0.18522</u>
  • <u>d) P(X≤3) = 0.92953</u>
  • <u>e) P(X≥5) = 0.010935</u>
  • <u>f) P(X≤4) = 0.989065</u>

Explanation:

Binomial experiments are modeled by the formula:

       P(X=x)=C(n,x)\cdot p^x\cdot (1-p)^{(n-x)}

Where

  • P(X=x) is the probability of exactly x successes

  • C(n,x)=\dfrac{n!}{x!\cdot (n-x)!}

  • p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.
  • n is the number of trials
  • 1 - p is the probability of fail
  • there are only two possible outcomes for each trial: success or fail.

<u>a.) P (x=1)</u>

<u></u>

       P(X=1)=\dfrac{6!}{1!\cdot (6-1)!}\times (0.3)^1\times(1-0.3)^{(6-1)}=0.302526

<u>b.) P (x=5)</u>

     P(X=5)=\dfrac{5!}{5!\cdot (6-5)!}\times (0.3)^5\times (1-0.3)^{(6-5)}=0.010206

<u>c.) P (x=3)</u>

Using the same formula:

    P(X=3)=0.18522

<u>d.) P (x less than or equal to 3)</u>

  • P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)

Also,

  • P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)

You can use either of those approaches. The result is the same.

Using the second one:

  • P(X=4) = 0.059335
  • P(X=5) = 0.010206
  • P(X=6) = 0.000729

  • P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953

<u>e.) P(x greather than or equal to 5)</u>

  • P(X≥5) = P(X=5) + P(X=6)
  • P(X≥5) = 0.010206 + 0.000729 =  0.010935

<u>f.) P(x less than or equal 4)</u>

  • P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)
  • P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065
5 0
3 years ago
-3x+8=y solve for if the equation is a function or non function
Ket [755]

Answer:

The equation is a function

Step-by-step explanation:

-3x + 8 = y

Reverse the function.

y = -3x + 8

Draw a graph of y vs x  (below)

To determine if the relation is a function,  we can use the vertical line test:  

If a vertical line crosses the graph more than once in any location, the relation is not a function.

We see that at no place will a vertical line intersect the graph more than once.

The relation is a function.

7 0
3 years ago
For babysitting, Angie charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitti
Ghella [55]

Answer:

C=5h+3 when h=5

C=28

Step-by-step explanation:

She charges $5 per hour (5h)

and a flat fee of $3 (+3).

Replace the h (the number of hours babysitting) with 5 (the amount of hours you want to find for).

Then you multiple 5 and 5, then add 3.

Which gives you an answer of $28.

Hope this helped!

7 0
3 years ago
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