Answer: (4, 3)
Step-by-step explanation:
The formula for coordinate of the mid point is given as :
Mid point = (
,
)
= 9
= -1
= 9
= -3
Substituting the values into the formula , we have :
Mid-point = (
,
)
Mid-point = (
,
)
Mid - point = ( 4 , 3)
Answer:
$43.20
Step-by-step explanation:
To find the original purchase price, write a proportion and solve. A proportion is an equation where two ratios are set equal.
If the discount if 15% then you pay 85%.

To solve for y, cross multiply the numerator and denominator of each fraction.
36.72(100) = 85y
3672= 85y
43.2 = y
Answer:
The number of sweets in the 10th bag is 53
Step-by-step explanation:
Given
Let the Number of sweets in a bag be represented by x and frequency be represented by f
The table is as follows
x F
39 1
40 2
41 5
42 0
43 1
Mean = 42
Required
How many sweets are in the 10th bag?
Represent the number of sweets in the 10th bag by y;
The table becomes
x F
39 1
40 2
41 5
42 0
43 1
y 1
The mean of observation is calculated using the following formula;
Mean = ∑fx/∑f
Where ∑ means summation
fx means f * x; i.e. product of frequency and number of sweets
f represents frequency;
Calculating ∑fx
∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1
∑fx = 39 + 80+ 205 + 0 + 43 + y
∑fx = 367 + y
Calcuating ∑f
∑f = 1 + 2 + 5 + 0 + 1 + 1
∑f = 10
Recall that
Mean = ∑fx/∑f and Mean = 42;
So, Mean = ∑fx/∑f becomes

Multiply both sides by 10


Subtract 367 from both sides



Hence, the number of sweets in the 10th bag is 53
To answer this question what you should do is to take 80% out of 95. To do this, you must make a simple rule of three which you can do as follows.
95 ---> 100
x ----> 80
Clearing x we have
x = ((80) / (100)) * (95) = 76
answer
they did make 76 shots of 95
Answer:
0.02
Step-by-step explanation: