Help pls! Average winter temperatures in 45 states were recorded and divided by geographical region.
Choose True or False.
A: The mean of Region 2 is 5.8 greater than the mean of Region 1.
B: The data of Region 2 has greater variability than the data of Region 3 because the data are clustered around a greater average temperature
C: The difference of the means of Region 2 and Region 3 is about twice the MAD of Region 3
D: The average of the means of the three regions is closest to the mean of Region 3
pls show work
The correct answer is a. True, b. False, c. True, d. True
How to find the mean of regions?The mean of Region 1 is 31+ (32+33+34)×3+35×4+36/15 = 33.6°CThe mean of Region 2 is 36+ 37+ 2x38+ (39+41)x3 +40x4+42/15 = 39.4°C
(The mean = all temperature of region divided by the number of states )
So, 39.4- 33.6 = 5.8 True
The data of Region 2 is more concentrated, So its variability is weaker than Region 3.So False (variability is comparing the density)
The mean of Region 3 is (32+ 2x (34+35+37+38)+ 36x3+ 39+ 40] ÷15 = 33.8°CThe difference is 39.4 - 33.8= 5.6
The MAD of Region 3 is (32 - 33.8) +2 x (34 -33.8) + 2x (35 - 33.8) + 4x (36-33.8) + 2x (37-33.8) + 2x (38-33.8) + (39-33.8) + (40-33.8) ÷ 15 = 2.64
2-64 × 2 = 5.28, so true
The average of mean is 33.6+ 39.4+ 33.8/3 = 35.633.8 is closest to 35.6, so true.
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please answer and explain how to get it.
The value of x is given as follows:
x = 21 cm.
How to obtain the value of x?The value of x is obtained applying the proportions in the context of the problem.
The ratio between the volumes is given as follows:
2430/90 = 27.
The side lengths are measured in units, while the volume is measured in cubic units, hence the proportion to obtain the value of x is given as follows:
x/7 = cubic root of 27
x/7 = 3
x = 21.
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for your land line phone service monthly bill, you pay 3¢ for each minute you use plus a $10 monthly charge. you budget yourself to spend no more than $40 on your phone bill. what is the range of minutes you can use this month?
Answer:
100 Minutes
Step-by-step explanation:
Step 1: Break it down-
3¢ can be expressed as 0.3
Step 2: Add monthly charge-
Since there is a 10$ monthly charge: 40-10=30
Step 3: Subtract-
Now divide: 30 ÷ 0.3
Step 4: Final Answer-
Hence the amount of minutes per month= 100
A rectangular container has a square base with an area of 25 square inches. The container had a height of 4 inches. What is the volume, in cubic inches, of the container?
The volume of the container is 100 cubic inches.
how can we calculate the volume of a rectangle?The volume of a rectangular container is calculated by multiplying its base area by its height. Since the base of the container is square with an area of 25 square inches, the length of each side of the square base is the square root of 25, which is 5 inches.
Therefore, the volume of the container can be calculated as follows:
Volume = Base Area × Height
Volume = 25 square inches × 4 inches
Volume = 100 cubic inches
So, the volume of the container is 100 cubic inches.
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A baby weighs 4kg when he is born. One week later he weighs 8% less than his birth weight.
a) How much does the baby weigh when he is one week old?
b) The baby gains 200g every two weeks for the next eight weeks. How much does the baby weigh when he is nine weeks old?
Answer:
a)3.68kg
b)900g
Step-by-step explanation:
a) First off we know that he weighs 4kg now and he weighed 8% less the next week. 8% of 4kg=0.32kg. We then have to subtract 0.32 kilograms from the original weight. 4-0.32=3.68
Your answer for A is 3.68 kg
b) If the baby gains 200g every two weeks, assuming it's a constant rate, he should gain 100g every week. 100*9weeks=900g.
A project has estimated annual net cash flows of $55,800 it is estimated to cost $262,260 determine the cash pay bag. Round the answer to one decimal place
The cash payback period for the project is 4.7 years.
What is cash payback period?The cash payback period is a financial metric that calculates the amount of time it takes for a project to generate enough cash flows to recover the initial investment (cost). It is calculated by dividing the initial investment by the estimated annual net cash flows.
What is decimal?Decimal refers to a system of numbers based on the number 10, where each digit represents a different power of 10. It is a way of expressing numbers using a decimal point to separate the whole number from the fractional part.
Given:
Estimated annual net cash flows = $55,800
Initial investment (cost) = $262,260
Cash Payback Period = Initial Investment / Estimated Annual Net Cash Flows
Putting the values:
Cash Payback Period = $262,260 / $55,800
Calculating the cash payback period:
Cash Payback Period = 4.7 years (rounded to one decimal place)
Therefore, the cash payback period for the project is 4.7 years.
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5
8)
8 h
a
X5.84
Area:
Perimeter:
Туре:
30.252
X_2
60.
a = 6.3 mm h= 5.84 mm
9
30.252
Paralellogram
The area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.
What is parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides.
The confronting or opposed sides and the opposing angles of a parallelogram are of equal length.
There are four distinct types of parallelograms, including three distinct types.
Rhombuses, parallelograms, squares, and rectangles are the four types.
So, the given image itself tells that the given figure is a parallelogram.
The area of the given parallelogram is:
A = b*h
A = 6.3*5.84
A = 36.792 mm²
The perimeter of the given parallelogram:
P = 2(a+b)
P = 2(6.3+5.84)
P = 24.28 mm
Therefore, the area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.
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If the nth partial sum of a series n = 1 as it approaches infinity an is sn = 6 - n5^-n, find an and n = 1 as it approaches infinity an.
By using the partial sum of series is
[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
and summation n=1 to infinity of [tex]a_{n}[/tex] is =6 .
How to find the nth term?To obtain the formula for the nth term of the series and its total, we must first discover the formula for the series' general term.
The formula for the series' nth partial sum is as follows:
[tex]sn = 6 - n*5^{-n}[/tex]
The nth term of the series can be obtained by subtracting the (n+1)th and nth partial sums, i.e.,
a = sn+1 - sn
When we substitute the formula for sn, we get:
[tex]a_{n} = [6 - (n+1)5^{(-(n+1))} ] - [6 - n5^{(-n)} ]\\a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
As a result, the formula for the series' nth term is:
[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
To calculate the series total, take the limit of the nth partial sum as n approaches infinity:
lim(n->inf) lim(n->inf) sn [6 - n*5^(-n)]
lim(n->inf) [n*5(-n)] = 6
= 6 - 0
= 6
As a result, the series' sum is 6.
As a result, the formula for the nth term in the series is:
[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
And the series' total is:
a = sum(n=1 to inf) = 6
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