Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
Answer:
<em> x = -3</em>
Step-by-step explanation:
A line has equation: y = ax + b
This line has slope a = 1
This line passes (4, 1)
=> 1 = 4 + b
=> b = -3
=> The equation of this line : y = x - 3
This line passes another point (x, -6)
=> -6 = x - 3
=> x = -6 + 3
=> x = -3
The cans are increasing at a linear rate.
If you look at the number of cans collected, you will see that they are increasing by 5 each time. Since the rate of change is the same each day, it is a linear pattern.
Answer:
A
Step-by-step explanation:
x = 0
y = -3
Riki ...
Most questions on Brainly offer 5 points in return for answering one question,
but here you've listed five of them to be answered for 5 points. That's kind of
much.
Also, it's not clear what cylinders Question-2 and Questioin-3 refer to.
They might be the two pictures under the question, but we don't rally know.
Fortunately, all five of your questions are answered with the same formula ...
the formula for the volume of a cylinder.
Here it is:
Volume of a cylinder = ( π ) · (radius)² · (height or length) .
V = π R² H .
That's it. That's all you need to answer any or all of the five questions.
So I've actually given you everything you need to answer them, and in
doing that, I've already earned 5 points. But, being the ever helpful guy
that I am, I'll work out two of the questions for you, to show you how to
use the formula.
Question #1). <span>A cylinder has a radius of 14 m and a height of 6 m.
</span>Volume = π R² H
= (π) (14m)² (6m)
= (π) (196m²) (6m)
= 1,176 π m³ = 71,763,930 π in³
(Notice how confusingly and sloppily the question is written . . .
the dimensions of the cylinder are given in meters, but the
answer choices are listed in cubic-inches. I've shown the
answer in both units.)
Question 5). <span>A can has a radius of 2.8 feet and holds 86.21 cubic feet.
</span><span>Volume = π R² H
86.2 ft³ = π (2.8 ft)² (Height)
86.2 ft³ = π (7.84 ft²) (Height)
Height = (86.2 ft³) / (7.84 π ft²)
= 3.5 ft
</span>
