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3241004551 [841]
4 years ago
13

A number is chosen at random from the first 100 positive integers. Find the probability that the number is divisible by 5. 1/10

Mathematics
1 answer:
rosijanka [135]4 years ago
3 0
The number of multiples of 5 from 1 to 100 is:

1≤5n≤100

1/5≤n≤20, since n must be an integer

1≤n≤20

So the multiples of five number 20-1+1=20 elements, and the probability of choosing one of the multiples from the first 100 positive integers is:

P(5n)=20/100=1/5
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Determine the intercepts of the line. yy y y -intercept: (\Big( ( left parenthesis ,, , comma )\Big) ) right parenthesis xx x x
BlackZzzverrR [31]

Question:

Give all the x and y intercept of the function

f(x) = \frac{3x^2 - 3x-60}{2x^3 + 2x^2-34x+30}

Answer:

The x intercepts are x = 5 and x = -4

The y intercept is at y = -2

Step-by-step explanation:

Factorizing the numerator of the expression we find the x intercepts as follows;

f(x) = \frac{3x^2 - 3x-60}{2x^3 + 2x^2-34x+30} =\frac{3(x-5)(x+4)}{2x^3 + 2x^2-34x+30}

Therefore, the x intercept are

x = 5 and x = -4

To find the y intercept, we put x = 0 to get y = -2

Therefore, the y intercept is at y = -2

Factorizing the denominator we find the values for which the equation is undefined

2·x³ + 2·x² - 34·x + 30 = 2·(x-1)·(x-3)·(x+5) which gives

x = 1, 3 and -5.

4 0
3 years ago
Find the value of x for the given value of y.<br><br> y=x4−7; y=2
AlexFokin [52]

y=x4−7; y=2

Y=2 (2)=x.4-7

2+4x-7

4x-7=2  get the variable alone by doing the same thing to both sides

4x=9

4x/4=9/4

y=9/4

x=9/4


5 0
3 years ago
Read 2 more answers
Sam has to pay a 15% tax on a boat that cost him $500. He believes he can determine the tax he owes using the calculation: 15 x
RSB [31]

Answer:

$75

Step-by-step explanation:

Cost = $500

Sam has to pay a 15% tax

To compute his tax, we use the step outlined bellow

tax= 15/100*500

tax= 0.15*500

tax=$75

Hence his tax is $75

8 0
3 years ago
A company sells cereal in two different-sized boxes: a 17-ounce box for $2.89, and a 24-ounce box for $3.29. How do the unit pri
garik1379 [7]

Answer: Last option.

Step-by-step explanation:

Let be "s" the unit price of the smaller box and "l"  the unit price of the larger box.

According to the information given in the exercise, the smaller one is a 17-ounce box which costs $2.89. Therefore, in order to find the value of "s", you need to divide  $2.89 by 17 ounces. This is:

s=\frac{2.89\ dollars}{17\ ounce}\\\\s=0.17\ \frac{dollars}{ounce}

You know that the larger box has 24 ounces and it costs $3.29.

Therefore, in order to find the value of "l", you need to divide  $3.29 by 24 ounces. This is:

l=\frac{3.29\ dollars}{24\ ounce}\\\\l=0.137\ \frac{dollars}{ounce}

Finally, find the difference:

0.17\ \frac{dollars}{ounce}-0.137\ \frac{dollars}{ounce}=0.033\ \frac{dollars}{ounce} or 3.3\ \frac{cents}{ounce}

Therefore, you can conclude that the larger box is better buy because it is approximately 3.3 cents cheaper per ounce.

5 0
3 years ago
Helppp can u finish the problem plz show your work!!!!
sveticcg [70]
_
2.6
__
3/8.0
-6
-------
20
- 18
--------
2

_
answer: 2.6
4 0
4 years ago
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