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4 years ago

If two distinct positive divisors of 64 are randomly selected, what is the probability that their sum will be less than 32?

Mathematics

1 answer:

scZoUnD [109]4 years ago

8 0

Answer: The required probability is $\dfrac{10}{21}$

Step-by-step explanation:

Since we have given that

Divisors of 64= 1,2,4,8,16,32,64

Sum would be less than 32

Since it has 7 divisors in total.

If we select any two distinct divisors from first five divisors, the sum will always less than 32.

So, the probability that their sum will be less than 32 is given by

$\dfrac{^5C_2}{^7C_2}\\\\=\dfrac{10}{21}$

Hence, the required probability is $\dfrac{10}{21}$

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which statement is true about the equations –3x 4y = 12 and x1/4 – 1/3y = 1? the system of the equations has exactly one solutio

finlep [7]

If you would like to solve the system of equations, you can do this using the following steps:

-3x + 4y = 12
x * 1/4 - 1/3 * y = 1 ... x * 1/4 = 1 + 1/3 * y ... x = 4 + 4/3 * y
_____________
-3x + 4y = 12
-3 * (4 + 4/3 * y) + 4y = 12
-12 - 4y + 4y = 12
-12 = 12
-12 - 12 = 0
-24 = 0

The correct result would be: the system of the equations has no solution; the two lines are parallel.

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3 years ago

At a party there are 40 cookies. There are 5 chocolate cookies for every 3 oatmeal cookies,how many oatmeal cookies are there

Pavel [41]

The answer is: 15

Because if for every 5 c cookies there is 3 oatmeal cookies, we can add 5+3=8. 40 divided by 8= 5. 5 times 3 equals 15. That’s why the answer is 15

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3 years ago

Read 2 more answers

The Census Bureau estimates that in 2020, 15 of the 50 states will have a Spanish-speaking majority. What percent of the states

Vinvika [58]

The answer is: [C]: "30%" .
_____________________________________________________
Explanation:
_____________________________________________________
Note that: "%" ; or "percent" means "out of 100" ; or "divided by 100" .
______________________________________________________
Method 1)

15/50 = ?/ 100 ;

Look at the denominators:

50 * (what value?) = 100 ? ; → "100 ÷ 50 = 2" ;

→ 50 * 2 = 100 ;

So: "15/50 = (15*2)/(50*2) = "30/100" ; which is "30%" .
___________________________________________
Method 2:
___________________________________________
"15/50" = (15÷5) / (50÷5) = 3/10 ;

3/10 = (3*10) / (10*10) = 30/100 ; which is: "30%" .
__________________________________________
Method 3: (slight variation of "Method 2" above):
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"15/50" = (15÷5) / (50÷5) = 3/10 ;

3/10 = 0.3 = 0.30 = (0.30 * 100) % = " 30% " .
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4 years ago

To make 1000 containers of ice cream you need: 600 units of milk, 275 units of cream, and 120 units of flavor. Each ingredient i

jasenka [17]

Answer:

It will take 20 minutes to pump out 1000 unit milk tank

Step-by-step explanation:

The pump on the milk tank pumps milk out at a rate of 50 units per minute,

1 minute = 50 units

x minutes = 1000 units

Using the unitary method x= = 1000*1/50= 20 minutes

It will take 20 minutes to pump out 1000 unit milk tank

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3 years ago

What is the true solution to the logarithmic equation below?

Oliga [24]

Answer:

x = 2

Step-by-step explanation:

Given:

log ₄ (2x) = 1

Solving for x:

2x = 4¹
2x = 4
x = 2

3 0

3 years ago