Answer:
TS=22
Step-by-step explanation: Since we know the triangles are proportional, we need to set up an proportion to find TS. First, let find which sides are correspond with each, TS and MN does and US and NQ does. So we set up a proportion that includes.
TS/US=MN/NQ: Let plug in the numbers
3x+1/26=5x-2/39: Then cross multiply
39(3x+1)=26(5x-2): Then simplify
117x+39=130x-52: Subtract 117x from both sides
39=13x-52: Add 52 to both sides
91=13x: Divide 13 by both sides
7=x: Then plug it in to TS
3(7)+1=22
Answer:
It is going to be bell-shaped(normally distributed), with mean
and standard deviation
.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
What can we say about the shape of the distribution of the sample mean time?
It is going to be bell-shaped(normally distributed), with mean
and standard deviation
.
Answer:
Negatively skewed
Step-by-step explanation:
Arrange this data in ascending order:
46, 50, 57, 58, 59, 59, 65, 66, 77, 80
and draw the bar chart as shown in attached diagram.
The data distribution appears to be negatively skewed (or left skewed), because the scores fall toward the higher side of the scale and there are very few low scores. The mean is also to the left of the peak.
Answer:
Step-by-step explanation:
If she was given a discount of 12% then the amount to be paid becomes I=P×R×T/100
I=400000×12×20/100
I=960000
Amount to be paid =I +P= 960000+400000=1360000
To liquidate this amount in 20 years therefore will be A÷20
1360000÷20
=68000 yearly
Step-by-step explanation:
f(x) = (x-2)/(3x+3). Let y = f(x).
Then y = (x-2)/(3x+3).
y(3x+3) = x - 2
3xy + 3y = x - 2
3xy - x = -3y - 2
x(3y-1) = -(3y+2)
x = -(3y+2)/(3y-1)
Hence, the inverse of f(x) is -(3x+2)/(3x-1).