Easiest way:
Look at A and C. To get from A to C you need 6 steps to the right and 2 steps upwards.
Slope means (in layman's terms) that how many steps you take upwards when you take 1 step to the right.
In your case you take 2/6 steps, because it would take you 6 steps to the right to go 2 steps upwards.
A slope of 4 would mean that 1 step to the right is followed by 4 steps upwards. A slope of -5 means 1 step to the right, 5 steps downwards.
To get from A to E you need 9 steps to the right and 3 steps upwards. This means a 3/9 slope. The simplest form of it is 1/3.
1/3 slope means that for every 3 steps to the right you take 1 step upwards.
I hope this was understandable, this is how they taught me this in 5th grade more than a decade ago.
Answer:
Step-by-step explanation:
for missing angle of triangle ABC
let the missing angle be y
31+111+x=180(sum of interior angle of a triangle is 180 degree)
142+y=180
y=180-142
y=38 degree
x=y(being alternate angles)
x=38 degree
There is no image srry .-.
Answer
The missing length is 10
Step-by-step explanation:
Represent the missing length with x
The sides of the given shape are directly proportional.
Mathematically:
(15 + x) to (12 + 8) and x to 7
Represent as a ratio:
Convert to fraction
Cross Multiply:
Collect Like Terms
Solve for x
<em>The length of the missing side is 10</em>
Answer:
0.0918
Step-by-step explanation:
We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The mean and standard deviation of average spending of sample size 25 are
μxbar=μ=95.25
σxbar=σ/√n=27.32/√25=27.32/5=5.464.
So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The z-score associated with average spending $102.5
Z=[Xbar-μxbar]/σxbar
Z=[102.5-95.25]/5.464
Z=7.25/5.464
Z=1.3269=1.33
We have to find P(Xbar>102.5).
P(Xbar>102.5)=P(Z>1.33)
P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)
P(Xbar>102.5)=0.5-0.4082
P(Xbar>102.5)=0.0918.
Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.
