Answer:
You need to find the slope of the two points given, then you need to add or subtract (depending on if the slope is increasing or decreasing). Once you find the slope add or subtract the answer onto R or S.
Step-by-step explanation:
SLOPE FORMULA-
y2-y1 / x2-x1
Answer:
22.1
Step-by-step explanation:
If we put 65 over 100 and x over 34 and do cross multiplication, we see that 65 times 34 is 2,210. Dividing 100 from both sides of the equation, we divide 100 from x and 100 from 2,210. We are left with X = 22.1
Answer:
This is how tackle this type of problem:
Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13
Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132
x2 = 169 - 144
x2 = 25
x = 5
Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.
Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30
= 5/13 . √3/2 - 12/13 . 1/2
= 5√3 /26 - 6/13
= (5√3 - 12) / 26
Step-by-step explanation:
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Answer:
a) Mean = 133, Standard deviation = 2.5
b) Normal distribution
c) 0.0026
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 4
Mean = 133
Standard deviation = 5
a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.
The sampling distribution has a mean equal to the population mean

The standard deviation of the sampling distribution is given by:

b) Shape of the sampling distribution
Central limit theorem:
When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.
Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.
c) P(sample mean exceeds 140)
Calculation the value from standard normal z table, we have,
0.0026 is the probability that the sample mean exceeds 140.
Answer:
54 apples
Step-by-step explanation:
Let's say that a bag of apples has x amount of apples. Rosa has 2/3 x after baking pies then give her cousin 3/4 of them. The number of apples that Rosa have will be:
- (
*
)=
-
=
-
=
= 
If Rosa has 9 apples, then x will be:
9 apples =
x= 9 apples * 6= 54 apples