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3 years ago

What is 5/7 times 100

Mathematics

2 answers:

dimulka [17.4K]3 years ago

8 0

Answer:

500/7

Step-by-step explanation:

5/7 × 100 =

5/7 × 100/1

5 × 100 / 7 × 1

= 500/7

stiks02 [169]3 years ago

3 0

Answer: 500/700

Step-by-step explanation:

Multiply the numerator and denominator by 100.

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If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0

3 years ago

A company sells fruit smoothies in two sizes: 6 ounces and 20 ounces. You know that a 6-ounce bottle contains 96 milligrams of s

expeople1 [14]

Answer:

320 milligrams of sodium

Step-by-step explanation:

Create a proportion where x is the milligrams of sodium a 20 ounce bottle has:

$\frac{96}{6}$ = $\frac{x}{20}$

Cross multiply and solve for x

1920 = 6x

320 = x

So, a 20 ounce bottle will have 320 milligrams of sodium

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3 years ago

The sum is 2 One number is twice the other one.

Scorpion4ik [409]

Answer:

The smaller number is 0.6666... repeating, and the larger number is 1.3333... repeating.

Step-by-step explanation:

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3 years ago

My state's lottery has 30 white balls numbered from 1 through 30 and 20 red balls numbered from 1 through 20. In each lottery dr

seropon [69]

The three whites:

(30 choose 1) * (29 choose 1) * (28 choose 1) = 30 * 29 * 28

The two reds:

(20 choose 1) * (19 choose 1) = 20 * 19

So, The three whites + two reds = 30 * 29 * 28 + 20 * 19 = 24740

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3 years ago

Pre Calculus:

Gwar [14]

Let n be a number of friends at the perty. If dinner costs $30 per person, then it cost $30n for all friends.

Robert has booked a banquet hall which costs $200, then his total expenses are $200+30n.

If the final bill is p, then p=200+30n.

Answer: p=200+30n.

3 0

4 years ago

Read 2 more answers