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serious [3.7K]
3 years ago
5

Sergio runs 2 1/4 miles in 30 minutes. Write the ratio in fractional form and determine Sergio's speed in miles per hour.

Mathematics
1 answer:
klasskru [66]3 years ago
5 0
\dfrac{ 2\dfrac{1}{4} }{ \dfrac{30}{60} } \\ \\ = \dfrac{9}{4} \div \dfrac{30}{60} \\ \\ = \dfrac{9}{4} \times \frac{60}{30} \\ \\ = 4.5

4.5 miles per hour.

Hope this helps. - M
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12.8<br> х<br> 5.3<br> find the value of x
Eddi Din [679]

Answer:

67.84 is the answer.

Step-by-step explanation:

12.8 times 5.3 equals 67.84

#teamtrees #WAP (Water And Plant)

8 0
2 years ago
Seventy percent of kids who visit a doctor have a fever and 21% of kids have fever and sore throats . what is the probability th
Neko [114]

The probability that a kid who goes to the doctor has a sore throat given that he has a fever is <u>0.30 or 30%</u>. Computed using conditional probability.

The probability of any event A given that event B has already taken place is found using the formula P(A|B) = P(A ∩ B)/P(B). This is known as conditional probability, where P(A ∩ B) is the probability of events A and B, and P(B) is the probability of event B.

In the question, we are given that 70% of kids who visit a doctor have a fever and 21% of kids have a fever and sore throats.

We are asked to find the probability that a kid who goes to the doctor has a sore throat given that he has a fever.

We suppose the event of going to the doctor while having a fever to be B, and going to a doctor while having a sore throat to be A.

We are given that 70% of kids who visit a doctor have a fever, that is, the probability of event B, P(B) = 70% = 0.7.

We are given that 21% of kids who visit a doctor have a fever and sore throats, that is, the probability of event A and event B, P(A ∩ B) = 21% = 0.21.

We are asked to find the probability that a kid who goes to the doctor has a sore throat given that he has a fever, that is, we are asked to find the conditional probability of event A, when event B has already taken place, that is, P(A|B).

By formula, we know that:

P(A|B) = P(A ∩ B)/P(B) = 0.21/0.70 = 0.30.

Thus, the probability that a kid who goes to the doctor has a sore throat given that he has a fever is <u>0.30 or 30%</u>.

Learn more about conditional probability at

brainly.com/question/10739997

#SPJ4

3 0
1 year ago
PLEASE HELP!!! FIND X IN THE DIAGRAM PROVIDED!! WILL GIVE BRIAIN!!
iren2701 [21]

:\implies \sf 3x⁰+45⁰+90⁰ = 180⁰

:\implies \sf 3x⁰+135⁰ = 180⁰

:\implies \sf 3x⁰ = 45⁰

:\implies \sf x = \dfrac{45}{3}

:\implies \sf x = 15⁰

hence, last option is right

6 0
3 years ago
Read 2 more answers
Select all the correct answers.
Ad libitum [116K]

C and D are correct I believe. Due to distribution they are the same answer!

4 0
2 years ago
Read 2 more answers
In a certain school, 6% of all students get a probation due to diverse reasons. Use the Poisson approximation to the binomial di
photoshop1234 [79]

Answer:

Step-by-step explanation:

In a certain school, 6% of all students get a probation due to diverse reasons. This means that

p = 6/100 = 0.06

Number of randomly selected students is 80. This means that

n = 80

Mean, u = np = 80×0.06 = 4.8

Using poisson probability distribution,

P(x=r) = (e^-u × u^r)/r!

a) 4 will get at least one probation in any given year. It becomes

P(x=4) = (e^-4.8 × 4.8^4)/4! = 0.18

b) At least 3 will get at least one probation in any given year. This means

P(x greater than or equal to 3) = 1 - P(x lesser than or equal to 2)

P(x lesser than or equal to 2) = P(x = 0) + P(x = 1) +/P(x = 2)

P(x = 0) = (e^-4.8 × 4.8^0)/0! = 0.0082

P(x = 1) = (e^-4.8 × 4.8^1)/1! = 0.04

P(x = 2) = (e^-4.8 × 4.8^2)/2! = 0.38

P(x lesser than or equal to 2) = 0.0082 + 0.04 + 0.38 = 0.4282

c) Anywhere from 3 to 6, inclusive will get at least one probation in any given year. This means

P( 3 lesser than or equal to x lesser than or equal to 6) = P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6)

P(x = 3) = (e^-4.8 × 4.8^3)/3! = 0.15

P(x = 4) = (e^-4.8 × 4.8^4)/4! = 0.18

P(x = 5) = (e^-4.8 × 4.8^5)/5! = 0.17

P(x = 5) = (e^-4.8 × 4.8^6)/6! = 0.14

P( 3 lesser than or equal to x lesser than or equal to 6) = 0.15 + 0.18 + 0.17 + 0.14 = 0.64

5 0
3 years ago
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