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3 years ago

The mean of 5 numbers is 50 and the mean of 4 of this numbers is 45. What is the fifth number

Mathematics

1 answer:

Kitty [74]3 years ago

7 0

Answer:

the fifth number is 70

Step-by-step explanation:

mean (average) of first 5 numbers =50 , Then sum of this 5 numbers = 50*5 =250.

The mean of 4 numbers = 45 . Sum 4 numbers = 45*4 = 180

the fifth number is 250-180=70

(180 +70)/5=50 which is the mean

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Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on

Iteru [2.4K]

Answer:

$P(X_i=2) =\dfrac{1}{6}$

$P(X_i=-1) =\dfrac{5}{6}$

Step-by-step explanation:

Given the numbers on the chips = 1, 1, 3 and 5

Miguel chooses two chips.

Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.

Miguel gets $2 on winning and loses $1 on getting different numbers.

To find:

Probability of winning $2 and losing $1 respectively.

Solution:

Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.

This is a simple selection problem.

The total number of ways of selecting r numbers from n is given as:

$_nC_r = \frac{n!}{r!(n-r)!}$

Here, n = 4 and r = 2.

So, total number of ways = $_4C_2 = \frac{4!}{2!\times 2!} = 6$

Total number of favorable cases in winning = choosing two 1's from two 1's i.e. $_2C_2 = \frac{2!}{2! 0! } = 1$

Now, let us have a look at the formula of probability of an event E:

$P(E) = \dfrac{\text{Number of favorable ways}}{\text{Total number of ways}}$

So, the probability of winning.

$P(X_i=2) =\dfrac{1}{6}$

Total number of favorable cases for -1: (6-1) = 5

So, probability of getting -1:

$P(X_i=-1) =\dfrac{5}{6}$

Please refer to the attached image for answer table.

7 0

3 years ago

0.4(5x-15)=2.5(x+3) is this a infinite solution or one solution or no solution

kogti [31]

Answer:

One solution

Step-by-step explanation:

The slope and y-intercept is different on both sides

5 0

3 years ago

When describing average home sales prices, explain why the median might be more appropriate measure of center than the mean. Are

Anni [7]

Q. When describing average home sale prices, explain why the median might be more appropriate measure of center than the mean. A. When looking for the average, we usually don't get the approximate price that we are looking for. What we are instead receiving is the rounded figure from the various other prices, rather than finding the "center" price. Whereas, in finding the median, we get the center price (since using median we find the number that is in the approximate middle). That will get us the "core" price for the selection of the homes instead of getting the rounded figure in average. Q. Are all home prices about the same in a city? A. There are no approximate answer for this. This topic is similar to when you are deciding where to start your next business. You need to look at the environment, education, communication etc., before deciding to buy a house. From my point, I would say that not all the houses in the city have the same price. You need to look most at the built-in architectural designs to have a higher price. However, if you look for a some-what luxury house, then you will have more of a lower price.

3 0

4 years ago

Find: 499 decreased by 100%

e-lub [12.9K]

Answer:

If you want, I can explain more into it.

3 0

3 years ago

3x/2x-6+9/6-2x=3x/2x-6+9/a(2x-6)=3x/2x-6+b/2x-6=3x-c/2x-6=d(x-e)/f(x-3)=g

kow [346]

Answer:A= -1

B=-9

C=9

D=3

E=3

F=2

G=1.5

On edge

Step-by-step explanation:

6 0

3 years ago