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Bess [88]
4 years ago
10

PLEASE HELP ASAP One day it took nick 20 mins to drive to work. His average speed was 27mph. When he had drove home using the sa

me route, it had took Nick 45 minutes. work out the average speed of his journey in mph please.
Mathematics
1 answer:
Sonbull [250]4 years ago
7 0

Answer: 12 mph

Step-by-step explanation:

20 minutes = 1/3 hour

Distance = speed x time

D = 27 x 1/3 = 09 miles

He had taken 45 minutes when he drove home

45 minutes = 3/4 hour

Speed = distance / time

Speed = 9 / 3/4

Speed = 12 mph

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4 years ago
A spinner has 12 equal sectors. 4 sectors are coloured red, 3 are coloured blue, and 5 are coloured yellow. The pointer on the s
vodomira [7]

Answer:

3.70% probability of the pointer landing on red each time

Step-by-step explanation:

For each time that the pointer is spun, there are only two possible outcomes. Either it lands on red, or it does not. The probability that it lands on red on a spin is independent of other spins. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

12 sections, of which 4 are red.

This means that p = \frac{4}{12} = 0.3333

The pointer on the spinner is spun 3 times.

This means that n = 3

What is the probability of the pointer landing on red each time?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.3333)^{3}.(0.6667)^{0} = 0.0370

3.70% probability of the pointer landing on red each time

3 0
3 years ago
Solve the proportion. Show your work. 3x + 1 = 511
k0ka [10]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 3x + 1 = 511

Subtract 1 from both sides:

3x = 510

Divide both sides by 3:

x = 170

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0
3 years ago
Read 2 more answers
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