A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the number chosen is divisible by 5 or 8. 1/25

2/5

11/25

Answers

Answer 1

Answer: There are 25 even integers between 2 and 50 (2,4,6,...,50).
Among them, there are 5 numbers divisible by 5 (10,20,30,40,50), 6 divisible by 8 (8,16,24,32,40,48), and 1 divisible by 5 and 8 simultaneously (40).

The last means these two events are not mutually exclusive. So, if

A - the event of choosing a number divisible by 5,
B - the event of choosing a number divisible by 8,

the probability of choosing a number divisible by 5 or 8 is equal to
$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

So,
$P(A\cup B)=(5)/(25)+(6)/(25)-(1)/(25)\nP(A\cup B)=(10)/(25)\n\boxed{P(A\cup B)=(2)/(5)}$

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How to simplify square root of 72?

Answers

Answer: $\sqrt[6]{2}$

Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36 then recognise 36 as a perfect square, 6 · 6.

There is no need to factor further because the 6's pair up. So a 6 comes out of the radical leaving a 2 inside and our answer is $\sqrt[6]{2}$ .

As you make your factor tree, always be on the lookout for perfect squares such as 36.

I have shown my work in the image attached.

6√2

√72
= √8*9
= √(4*2*9)
= √4*√2*√9
= 2*3*√2
= 6√2

An item costs $20.00 and it has a sales tax rate of 4%. What is the amount of sales tax for that item?

Answers

0.8 ! hope this helps. you take 4% of 20 and that’s how you get the answer

Answer:

$0.80

Step-by-step explanation:

To find the sales tax you:

Divide 4% by 100 ( because a percentage is always out of 100) { $(4)/(100)$ = 0.04}

Multiply 0.04 by 20 ( the answer becomes $0.80)

When doing this you primarily finding 4% of $20.

HOPE THIS HELPED

the area of a rectangular field is x^2-x-72 m^2. The length of the field is x+8 cm. What is the width of the field meters.

Answers

Hello,

A(x)=x²-x-72 (m²)
L=(x+8) (cm)= (x+8)/100 (m)

We suppose here x≠-8
(in reality x²-x-72>0 ==>x<-8 or x>9
but x+8>0 ==> x>-8
then
only x>9 are solutions)

W=A(x)/ ((x+8)/100 )=100*(x²-x-72)/(x+8)= 100*(x-9)(x+8)/(x+8)=100*(x-9)

Doris put $4000 in a 2 year cd paying 6% interest, compounding monthly. after 2 years, she withdrew all her money. what was the amount of the withdraw?

Answers

For the answer to the question above asking what was the amount of the withdraw if Doris put $4000 in a 2-year cd paying 6% interest, compounding monthly. after 2 years, she withdrew all her money?

First year Interest: I(1) = 4000[(1.005)^12 - 1] = 246.71 = penalty for early withdrawal
Value after two years: P(2) = 4000(1.005)^24 = 4508.64

Value after 2 years with penalty: V = 4000(1.005^24 - 1.005^12 + 1) = $4261.93

Answer:

Value after two years: P(2) = 4000(1.005)^24 = **** 4508.64 ***

Please help me ......

Answers

For the first problem, when you see expression like that it just means to write it twice, then FOIL it.
(2x-6) (2x-6)
If you don't know what FOIL is let me know and I can further explain it!

This also applies for the second question!

Andre bakes some pizza .He puts 24 mushrooms on the veggie pizza.the veggie has 3 times as many mushrooms as the sausage pizza. How many mushrooms are on the sausage pizza