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3 years ago

Gavyn and Alex win some money and share it in the ratio 4:1. Gavyn gets £18 more than Alex. How much did they get altogether?

Mathematics

1 answer:

densk [106]3 years ago

3 0

Answer:

£30

Step-by-step explanation:

Gavyn has £18 more than Alex

—› G - A = £18

—› 4u - 1u = 3u = £18

1u = £18 ÷ 3

= £6

total units = 4 + 1 = 5

5u = 5 × £6 = £30

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nataly862011 [7]

Answer:

z=-3

Step-by-step explanation:

-5z+9=24 so, subtract 9 from both sides becuase of liked terms to get -5z=15, then divide both sides by -5 to get z = -3 hope it helps:)

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3 years ago

You work at an ice-cream shop. One of your jobs is to order new ice-cream cones. You pick the cone that is 5 inches high and has

Taya2010 [7]

We have that
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3 years ago

Read 2 more answers

7. Explain the difference between whole numbers and counting numbers. (2 marks) Your answer

Burka [1]

Counting numbers is like the numbers 1,2,3,4,5 and so on they were numbers you were probably taught to count to like to count through 1-10 or whatever. Counting numbers mean to count since they do have the word counting in them.

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3 years ago

A multiple-choice examination has 20 questions, each with five possible answers, only one of which is correct. Suppose that one

kari74 [83]

Answer:

The probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

Step-by-step explanation:

Let the random variable X represent the number of correctly answered questions.

It is provided all the questions have five options with only one correct option.

Then the probability of selecting the correct option is,

$P(X)=p=\frac{1}{5}=0.20$

There are n = 20 question in the exam.

It is also provided that a student taking the examination answers each of the questions with an independent random guess.

Then the random variable can be modeled by the Binomial distribution with parameters n = 20 and p = 0.20.

The probability mass function of X is:

$P(X=x)={20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x};\ x =0,1,2,3...$

Compute the probability that the student answers at least seventeen questions correctly as follows:

$P(X\geq 17)=P (X=17)+P (X=18)+P (X=19)+P (X=20)$

$=\sum\limits^{20}_{x=17}{{20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x}}\\\\=0.00000000077+0.000000000032+0.00000000000084+0.000000000000042\\\\=0.000000000802882\\\\=8.03\times10^{-10}$

Thus, the probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

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