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Schach [20]
2 years ago
14

The ratio of money in Brian's wallet to Colin's wallet one day was 5:1. Brian spent £27 that day. Brian now had £3 less than Col

in. How much did Brian initially have?
Mathematics
1 answer:
myrzilka [38]2 years ago
7 0

Answer:

Brian had $30 initially.Brian had $30 initially.

Step-by-step explanation:

WE are given the following in the question:

Let Brian have x dollars and Colin have y dollars.

Ration of Brian's money to Colin's money is 5:1. This, we can write the equation:

\dfrac{x}{y} = \dfrac{5}{1}\\\\x = 5y

"Brian spent £27 that day. Brian now had £3 less than Colin."

Thus, we can write the equation:

x-27 = y-3\\x-y = 24

Solving the two equation by substitution, we get,

x - y - 24\\5y - y = 24\\4y = 24\\y=6\\x = 5y =30

Thus, Brian had $30 initially.

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According to government​ data, the probability that an adult was never in a museum is 10​%. In a random survey of 60 ​adults, wh
lutik1710 [3]

Answer:

\text{Mean}=)=6\\\\\text{Standard deviation}=2.324

Step-by-step explanation:

Given : The probability that an adult was never in a museum is : p=0.10

The number of adults randomly surveyed: n = 60

In Binomial distribution , the formula to find the mean and the standard deviation is given by :-

\text{Mean}=np\\\\\text{Standard deviation}=\sqrt{np(1-p)}

Then , the mean and standard deviation of the number that were never in a​ museum will be :-

\text{Mean}=60(0.10)=6\\\\\text{Standard deviation}=\sqrt{60(0.10)(1-0.1)}=2.3237900077\approx2.324

5 0
2 years ago
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
tamaranim1 [39]
Company 1: f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 =  25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537

company 2: 
  x       g(x)
  6        862.2
  8        856.8
10        855
12        856.8
14        862.2

Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1. 
7 0
2 years ago
Read 2 more answers
Determine the margin of error, m , of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume
madreJ [45]

Answer:

E= 6.45

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

Step-by-step explanation:

Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.

General formula for the margin of error is

Margin of error = critical value  ×   standard error of statistic

                        = z \alpha /2  ×   σ √n

z-value from two tailed is listed below:

From the table of standard normal distribution, probability value of 0.10.

row and column values gives the area to the two tail of z.

The positive z value is 2.58.

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

after putting these vales we obtain the margin of error value that is

E= 6.45

7 0
2 years ago
A student has to take two quizzes tomorrow. He has only enough time to study for one of them. The history quiz has 5 true or fal
nalin [4]

Answer:

Answer:

Option B is correct.

Miguel should study for the Science quiz as he will do worse in that quiz by guessing.

Step-by-step explanation:

Miguel has to take two quizzes

1) 4 true or false questions on History with a 0.5 chance of acing the quiz

Expected number of correct questions = np

n = number of questions

p = probability of acing the test

Expected number of correct questions = 4 × 0.5 = 2

2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.

Expected number of correct questions = 0.2 × 3 = 0.6

It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.

6 0
2 years ago
Read 2 more answers
The angle by which AB turns clockwise about point B to coincide with BC is ? degrees. If from point B, a point E is drawn direc
Oksana_A [137]
A) AB turn clockwise to coincide with BC

= ABD + DBC

= 33.3° + 30.6° 

= 63.9°


b) If E is drawn directly opposite C.

EBC is a straight line, so sum of angles =180°

ABE + ABD + DBC = 180°

ABE + 33.3° + 30.6° = 180°

ABE + 63.9° = 180°

ABE = 180 - 63.1

ABE = 116.9° 

Hope this explains it.
3 0
2 years ago
Read 2 more answers
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