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3 years ago

Solve for X Question: X/2 +x/3 =5

Mathematics

1 answer:

Sever21 [200]3 years ago

7 0

Answer:

$(3x + 2x) \div 6 = 5 \\ 5x = 5 \times 6 \\ x = 30 \div 5 \\ x = 6$

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If three prime numbers are randomly selected from the prime numbers less than 30 and no prime number can be chosen more than onc

Dmitry [639]

Answer:

C)30%

Step-by-step explanation:

Prime numbers less than 30 are given below

2,3,5,7,11,13,17,19,23,29

We have to find the probability that sum of three prime numbers selected will be even.

We know that

Sum of any three prime number except 2 will be odd.

Total prime numbers except 2=9

Total prime numbers=10

Probability:P(E)= $\frac{favorable\;cases}{total\;number\;of\;cases}$

Probability of getting sum of three prime numbers selected will be odd= $\frac{9C_3}{10C_3}$

$nC_r=\frac{n!}{r!(n-r)!}$

By using formula

Probability of getting sum of three prime numbers selected will be odd=P(E)= $\frac{\frac{9!}{3!6!}}{\frac{10!}{3!7!}}=\frac{9!}{3!6!}\times \frac{3!\times 7\times 6!}{10\times 9!}$

Probability of getting sum of three prime numbers selected will be odd=P(E)= $0.7$

Probability of getting sum of three prime numbers selected will be even=P(E')=1-0.7=0.3= $0.3\times 100=30$ %

By using formula P(E')=1-P(E)

3 0

2 years ago

A total of 75 cookies and cakes were donated for a bake sale to raise money for the football team. There were four times as many

MArishka [77]

Answer:

Step-by-step explanation:

15*4 = 60

15+60= 75

6 0

3 years ago

Read 2 more answers

Price of 1kg sugar is Rs. 100 calculate the price of 150g sugar?

Wewaii [24]

Answer:Rs15

Step-by-step explanation:

150g=150/1000=0.15kg

1kg cost Rs100

0.15kg cost =100 x 0.15=15

150g cost Rs15

3 0

3 years ago

Demonstrate how you can use the slope formula to write the point-slope form of an equation of a line.

nevsk [136]

This is how I did it.

5 0

3 years ago

The distance from the center of a carousel to the

anzhelika [568]

Answer:

$\fbox{\begin{minipage}{3.5em}338 (ft)\end{minipage}}$

Step-by-step explanation:

The problem could be simplified as following:

Given:

The radius of a circle O is 26 feet.

Solve for:

The length of arc on circle O that measures 13 radians

Solution:

Step 1: Let's find out the correct formula to apply:

The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:

L = r*x

Step 2: Let's put the data into formula to work out the length L of arc:

L = 26*13 = 338 (ft)

=> The distance that a horse does on the outer edge travel when the carousel rotates through 13 radians: L = 338 (ft)

Hope this helps!

7 0

3 years ago