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Wewaii [24]
3 years ago
8

A number is chosen at random from the first 100 positive integers. Find the probability that the number is a multiple of 7.

Mathematics
2 answers:
Iteru [2.4K]3 years ago
8 0
100÷7=14...
Probability is 14/100=7/50
IRINA_888 [86]3 years ago
8 0

|\Omega|=100\\ |A|=14\\\\ P(A)=\dfrac{14}{100}=\dfrac{7}{50}=14\%

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Can someone help solve
leva [86]

\frac{-18z^{7}y^{5}-9z^{9}y^4+18z^6y^8}{9zy^{2} }= -2z^6y^3-z^8y^2+2z^5y^6


When variables with exponents are divided by each other, you subtract the exponents.

For example:

\frac{x^2}{x^1} = x^{2-1} =x^1

\frac{x^5}{x^3} =x^{5-3} = x^2

8 0
3 years ago
Sum-R-Fun sells a jet ski for $6,700 which includes tax. They offer an installment plan that requires 20% down. After that, the
nlexa [21]

Answer:

1) The initial down payment is $1,340

2) The total monthly payment is $7,200

3) The total cost of the jet ski on the installment plan is $8,540

4) The finance charge is $1,840

Step-by-step explanation:

The financing model of Sum-R-Fun for a jet ski are as follows;

Sum-R-Fun selling price of a jet ski = $6,700

The initial down payment = 20% of the selling price of the jet ski

The amount the customer pays per month = $200

The duration or the period of the monthly payment = 3 years

1) The initial down payment = 20/100 × $6,700 = $1,340

2) The total monthly payment = Number of months per year × Number of years × The monthly (installment) payment  

∴ The total monthly payment = 12 × 3 × $200 = $7,200

3) The total cost of the jet ski on the installment plan = The initial down payment + The total monthly payment

∴ The total cost of the jet ski on the installment plan = $1,340 + $7,200 = $8,540

4) The finance charge is the cost of the credit given as follows;

The finance charge = The total cost of the jet ski on the installment plan - Sum-R-Fun selling price of a jet ski

∴ The finance charge = $8,540 - $6,700 = $1,840

5 0
3 years ago
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
Charra [1.4K]

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
2 years ago
Find the area of a circle with radius equal to 6.<br><br> A =
anyanavicka [17]

Answer:

Step-by-step explanation:

hello :

A= πr²     r = 6

so : A= 3.14(36) = 113.04

8 0
4 years ago
PlEASE HELP ME PLEASE​
Law Incorporation [45]

Answer:

THE 3RD ONE

Step-by-step explanation:

I THINK IM NOT REAALY SURE????

5 0
3 years ago
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