All categories

3 years ago

You are given n = 5 measurements: 5, 3, 3, 8, 8. (a) calculate the sample mean, x. (enter your answer to one decimal place.)

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

The mean = sum of all the measurements / number of measurements (n)

= (5 + 3 + 3 + 8 + 8) / 5

= 27 / 5

= 5.4 Answer

You might be interested in

Alessia fills her baby pool with 75 liters of water. How many 1-gallon containers will it take for her to fill the pool with the

8090 [49]

Answer: It will take 19.5 one-gallon containers

Explanation: We know that 1 liter is 0.26 gallons

All we need to do is to make a ratio

1 75
---- -----
0.26 ?

We need to do what we did on the top (times 75 to get 75) on the bottom (times 75 to get 19.5)

Hope this helps!

5 0

3 years ago

The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.

Pavel [41]

Step-by-step explanation:

The question is wrong. The correct equation is :

$C=\frac{5}{9}F-\frac{160}{9}$

We know that the equation gives the relation between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

$0=\frac{5}{9}F-\frac{160}{9}$ ⇒ $F=32$

And for C = 100 :

$100=\frac{5}{9}F-\frac{160}{9}$ ⇒ $F=212$

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by $F=71$ and find the value of C ⇒

$C=\frac{5}{9}F-\frac{160}{9}$ ⇒

$C=(\frac{5}{9})(71)-\frac{160}{9}$

$C=\frac{65}{3}$ ≅ 21.67

C(71) = 21.67 °C

4 0

2 years ago

Mei Su had 80 coins. She gave most of them to her friends in such a way that each of her friends got at least one coin and no tw

Mama L [17]

Answer: 12 friends.

Step-by-step explanation:

the data we have is:

Mei Su had 80 coins.

She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:

The maximum number of friends that could have coins is when:

friend 1 got 1 coin

friend 2 got 2 coins

friend 3 got 3 coins

friend N got N coins

in such a way that:

(1 + 2 + 3 + ... + N) ≥ 79

I use 79 because "she gave most of the coins", not all.

We want to find the maximum possible N.

Then let's calculate:

1 + 2 + 3 + 4 + 5 = 15

15 + 6 + 7 + 8 + 9 + 10 = 55

now we are close, lets add by one number:

55 + 11 = 66

66 + 12 = 78

now, we can not add more because we will have a number larger than 80.

Then we have N = 12

This means that the maximum number of friends is 12.

5 0

3 years ago

I have to find the area of a trapezoid using the formula A= 1/2 (b1 + b2) (h)

DedPeter [7]

Answer:

190

Step-by-step explanation:

1/2(6+13)(5)

6+ 13 = 19*5 = 95

95/ 1/2= 190

7 0

3 years ago

The jars of paint in the art room have different amounts of paint. The green paint jar is 4/8 full. The purple paint jar is 4/6f

natulia [17]

4/8 is less full because it's only half compared to 4/6 which is 1.5

7 0

3 years ago