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Doss [256]
3 years ago
10

Find the mean of the integers

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

We need to find mean of given integers.

We have -16,39,-10,-16,12,31.

In order to find mean, we need to add all the given inetgers.

Therefore, putting plus sign in between integers.

-16+ 39+ (-10)+(-16)+12+31 .

We will add all positive number 39+12+31 = 82

We will add all negative numbers by negative numbers, -16-10-16 = -42.

Therefore,  -16+ 39+ (-10)+(-16)+12+31  = 82 - 42 = 40.

We have given total 6 integers.

So, in order to find the mean, we need to apply following formula

Mean = \frac{Sum \ of \ all \ number }{Total \ numbers}

We get,

Mean = 40/6 = 6.66666......

We can round it to 6.67.

Therefore, mean of the given integers = 6.67 (approximately) .


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Grade 9 transformation graph
yaroslaw [1]

Answer:

1) D

2) C

3) A

4) B

Step-by-step explanation:

Ok, we need to try each function in the point x = 0 and then analyze the limit as x goes to really large values.

1) g(x) = -3^x

When x = 0, we have:

g(0) = -3^0 = -1

Then we know that the graph of this function will be either A or D.

Now, as x goes to really large values, 3^x will eventually approximate to infinity.

Then - 3^x will approximate to negative infinnity.

From that, we can conclude that the graph for this function is the one that goes to negative infinite as x increases. That is graph D.

2) h(x) = (1/3)^(-x) = 3^x

This is the exact opposite of the previous function. So we need to find the graph that is an exact reflection across the x-axis of graph D, and that one is the graph C.

then the graph if this function is C.

3) k(x) = - (1/3)^x = -1/(3^x)

When x = 0

k(0) = -(1/3)^0 = -1

We have two options with a y-intersect at y = -1  (graph A and D) and in this case, we can see that the part that grows fast is in the denominator, then as x increases, the denominator increases, and thus the function will tend to zero, then the graph of this function is graph A.

4) g(x) =  3^(-x) = 1/(3^x)

g(0) = 1/(3^0) = 1/1 = 1

And same as before, as x increases, g(x) tends to zero.

Then the remaining graph (B) is the graph of this function.

3 0
2 years ago
If 8x = 24, then 24= 8x what property is this
yarga [219]

Answer:

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as, a=b

also, b=a

Step-by-step explanation:

5 0
2 years ago
Solve mixture problems. George wishes to increase the percent of acid in 50m / of a 15% acid solution in water to 25% acid, how
fenix001 [56]

Answer:

x = amount of pure acid to be added = 6.67ml

Step-by-step explanation:

George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you add?

let

x = amount of pure acid to be added

15% of 50 + x = 25% of 50 + x

(0.15 * 50) + x = 0.25(50 + x)

7.5 + x = 12.5 + 0.25x

Collect like terms

x - 0.25x = 12.5 - 7.5

0.75x = 5

x = 5/0.75

x = 6.6666666666666

Approximately,

x = 6.67

x = amount of pure acid to be added = 6.67ml

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Answer:

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