Answer:
a. 5
b. 1
c. 2
d. -28
e. 10.4
f. 11.41
g. 8003
h. 1
PLEASE ANSWER FAST
Thirteen earthquakes were measured using the Richter scale. Their magnitudes are listed below. What is the range for this data set?
8.2, 3.1, 5.9, 2.5, 6.2, 5.1, 7.6, 9.3, 8.1, 7.4, 7.8, 6.5, 8.7
A. 6.8
B. 2.6
C. 4.1
D. 5.6
The range is found by subtracting the smallest data value from the largest data value. Here, the smallest data value is 2.5 and the largest is 9.3. Therefore, the range is:
[tex]9.3 - 2.5 = 6.8[/tex]
Therefore, the answer is Option A.
Just for extra.
The variance:1. The steps that follow are also needed for finding the standard deviation. Start by writing the computational formula for the variance of a sample:
[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1}[/tex]
2. Create a table of 2 columns and 14 rows. There will be a header row and a row for each data value. The header row should be labeled with x and x^2. Enter the data values in the x column, with each data value in its own row. In the second column, put the square of each of the data values, x^2.
x y
8.2 67.24
3.1 9.61
5.9 34.81
2.5 6.25
6.2 38.44
5.1 26.01
7.6 57.76
9.3 86.49
8.1 65.61
7.4 54.76
7.8 60.84
6.5 42.25
8.7 75.69
3. Find the sum of all the values in the first column, [tex]{\sum}{x}[/tex].
[tex]\sum{x} = 86.4[/tex]
4. Square the answer from step 3, then divide that number by the size of the sample.
[tex]\frac{({\sum}{x})^2}{n} = \frac{7464.96}{13} = 574.22769230769[/tex]
5. Find the sum of all the values in the second column, [tex]{\sum}{x^2}[/tex].
[tex]{\sum}{x^2} = 625.76[/tex]
6. Subtract the answer in step 4 from the answer in step 5.
[tex]{\sum}{x^2} - \frac{({\sum}{x})^2}{n} = 625.76 - 574.22769230769 = 51.532307692308[/tex]
7. Divide the answer in step 6 by n - 1, one less than the size of the sample. This answer is the variance of the sample.
[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1} = \frac{ 51.532307692308 }{12} = 4.294358974359[/tex]
Standard DeviationTo find the standard deviation, first write the computational formula for the standard deviation of the sample.
[tex]{s}= \sqrt{\frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n - 1}}[/tex]
Take the square root of the answer found in step 7 above. This number is the standard deviation of the sample. It is symbolized by [tex]s[/tex]. Here, we round the standard deviation to at most 4 decimal places.
[tex]{s} = \sqrt{4023.0714285714} = 63.4277[/tex]
Hello I really needs some help this is algebra
Answer:
x = 5
Step-by-step explanation:
5 - 3x = - 10
Subtract 5 from both sides:
5 - 5 - 3x = -10 - 5
-3x = -15
Divide -3 by both sides:
-3x/-3 = -15/-3
x = 5
hope this helps!! p.s. i really need brainliest :)
timothy's video game the levels starts with 30 aliens each worth five points Timothy already shot 6 of them how many more points can he get if he shoots the rest on this level?
Answer:
70 points
Step-by-step explanation:
graph this sin equation
Answer:
I graphed it on desmos:
Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation,and it is not likely causal. it is a strong positive correlation, and it is likely causal.
Based on the correlation coefficient between sodium and the calories in the meal, we can say that there is a strong positive correlation, and it is not likely causal.
What do correlation coefficients tell us?Correlation coefficients are used to show the strength of a correlation between two variables. They go from -1 to 1 and the closer to figure is to 1, the stronger the correlation between the two.
If the figure is close to 1 (instead of -1) as is the case here it means that there is a positive correlation.
Correlation however, does not mean causation which is why there is a strong positive correlation between Sodium and calories with a coefficient of 0.74, but its likely that this isn't causal.
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Quick please!
Tell whether a triangle with the given side lengths is a right triangle.
16 in, 34 in, 30 in
Answer:
It's a right triangle ..
Step-by-step explanation:
By using Pythagoras theorem , we can know that it's a right angled triangle or not ..
so , H² = P² + B²
=> 34² = 16² + 30²
=> 1,156 = 256 + 900
=> 1,156 = 1,156
Hence , it's a right triangle
Justin earns an annual salary of $48,000, which is paid monthly. This month Justin had the following deductions:
Federal and state income taxes
$650
Social Security and Medicare taxes
$248
Health insurance premiums
$350
Retirement plan contribution 5% of salary
What is Justin's net pay for the month?
Answer:
$2552
Step-by-step explanation:
First you have to find Justin's monthly salary. You do this by dividing his annual salary by 12 months. 48000/12 = 4000 This means Justin makes $4000 each month. Next we have to find what 5% of that is, in order to know how much his retirement plan contribution costs. To do this you divide 4000 by 100 to know how much 1% of his monthly salary is, and then you multiply that by 5 to know how much 5% of his monthly salary is. 4000/100 = 40 40x5 = 200 .We now know his retirement plan contribution each month costs $200. Now we need to know how much to subtract from his monthly salary to get his net pay for the month. We can do this by adding all of his monthly expenses together and then subtracting that total from 4000. 650+248+350+200 = 1448 4000-1448 = 2552 Justin's net pay for the month is $2552
12. The profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors.
C(x)=2300+60x
R(x)=820x−x2
Answer:
$ 142100
Step-by-step explanation:
Profit is the difference between the revenue and the cost
P(x) = R(x) - C(x)
= 820x - x² - (2300 + 60x)
= 820x - x² - 2300 - 60x
= -x² + 820x - 60x - 2300
P(x) = -x² + 760x - 2300
We can find the maximum profit of the company by finding the maximum of the parabolic function.a = -1 ; b = 760 and c = -2300
[tex]\sf \boxed{P_{max} = c - \dfrac{b^2}{4a}}[/tex]
[tex]\sf = -2300 - \dfrac{760^{2}}{4*(-1)}[/tex]
[tex]\sf = -2300 +\dfrac{577600}{4}\\\\ = -2300 + 144400\\= 142100[/tex]
[tex]\sf \boxed{P_{max}= \$ 142100}[/tex]
The altitude of an equilateral triangle is 7 units long. The length of one side of the triangle is ____ units. 7 14
The length side of equilateral triangle is 8.08 units
What is Altitude?The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side.
Here, let the side of the equilateral triangle be x units
given altitude of the equilateral triangle = 7 units
we know,
Altitude = √3/2 X side
7 = √3/2 X x
x = 7 X 2 / √3
x = 14/√3
x = 8.08 units
Thus, the length side of equilateral triangle is 8.08 units.
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Joseph charges $20 an hour with a $5 flat fee for soccer lessons. Kellen charges $15
an hour with a flat fee of $10 for soccer lessons.
Which equation represents the situation when the cost is the same to be coached by
Joseph or Kellen, where his hours?
20h + 10 = 15h + 5
--
5h + 20 = 10h + 15
20h + 5 = 15h + 10
O5h + 15 = 10h + 20
Answer:
20h + 10 = 15h + 5
Step-by-step explanation:
Looking at the statements we see that Joseph charges 20h +5 and kellen 15h +10
The hypotenuse of a right triangle measures 18 cm and one of its legs measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
Step-by-step explanation:
This sounds like a Pythagoras theorem question. So what I would do is 18^2 - 10^2= Ans
Then square root the answer
Answer: the answer is 15
help ASAP my son needs help with this problem..help
Answer: Skelatal and respiratory because bones show up all over the human body.
Step-by-step explanation:
Answer:
C. Nervous system / Circulatory system
Please help me solve for Z
The correct value of z in this figure is 190⁰
The image given in this question is of a circle. To solve it, let's calculate it as an equation of the first degree.
– First, let's: add the data that are on the circle and equate the equality as 360⁰, which is the value of the degree of a circle.
145 + 24 + z = 360⁰
– Now, let's: add the natural terms to each other. And finally, we'll isolate z and subtract 360⁰ by the number that's left.
145 + 24 + z = 360⁰
170 + z = 360⁰
z = 360⁰ - 170
z = 190⁰
So, the value of z, will be 190⁰
Which of the following could be the perimeter of a rectangle with an area of 24 square inches?
A) 24 inches
B) 18 inches
C) 20 inches
D) 32 inches
Answer: C. 20 inches
Step-by-step explanation:
perimeter= 2 x (4+6)=20 inches
A rectangle sticker had a perimeter of 32 centimeters and a area of 48 square centimeters. what are the dimensions of the sticker
Answer:
4 cm ×12 cm
Step-by-step explanation:
To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.
Perimeter of rectangle= 2(length +breadth)
Let the length and breadth of the rectangle be L and B cm respectively.
2(L +B)= 32
Divide both sides by 2:
L +B= 16 -----(1)
Area of rectangle= length ×breadth
LB= 48 -----(2)
From (1): L= 16 -B -----(3)
Substitute (3) into (2):
(16 -B)(B)= 48
Expand:
16B -B²= 48
B² -16B +48= 0
(B -4)(B -12)= 0
B -4= 0 or B -12= 0
B= 4 or B= 12
Substitute into (3):
L= 16 -4 or L= 16 -12
L= 12 or L= 4
Thus, the dimensions of the sticker is 4 cm ×12 cm.
Which of the following is not a valid probability?
A. 1.3
B. 0
C. 0.4
D. 1
Answer:
A 1.3
Step-by-step explanation:
probabilities lie between 0 and 1 and cannot be more or less
Austin uses a mold to make cone-shaped cupcakes. The diameter of the mold is 12 inches, and
the height of the mold is 10 inches. If one cubic inch is about 0.55 ounce, how many ounces will
2 cupcakes weigh? Use 3.14 for T. Round to the nearest tenth of an ounce. Only write the
number
Answer:
25.9
Step-by-step explanation:
So calculate volume of the mold, which is a cone: (pi) r2 (h/3) where r is radius and h is height
So diameter/2 = r which is 1.5 in
h = 2 in
V = (3.14)(1.52)(2/3) = 4.71 in3
If 1 in3 = 0.55 oz, and 1 mold = 4.71 in3, then one mold = 2.59 oz
2.59 oz * 10 cupcakes = 25.9 oz total
Step-by-step explanation:
the volume of a cone is
pi×r² × h/3
the radius is always half of the diameter, so, it is here
12/2 = 6 in.
h = 10 in.
so, we have here
pi×6²×10/3 = 3.14 × 36 × 10/3 = 3.14×120 = 376.8 in³.
2 cupcakes have then
376.8 × 2 = 753.6 in³
1 in³ = 0.55 ounces
so, the weight of 2 such cupcakes is
0.55 × 753.6 = 414.48 ounces ≈ 414.5 ounces
John is weighing his jars of coins. his jar of pennies weighs 84.96 ounces, and his jar of nickels weighs 3.11 kilograms. there are 0.0283495 kilograms per ounce. which jar weighs more, and how many more pounds does it weigh? a. the jar of pennies weighs 8.41 pounds more than the jar of nickels. b. the jar of pennies weighs 0.089 pounds more than the jar of nickels. c. the jar of nickels weighs 2.06 pounds more than the jar of pennies. d. the jar of nickels weighs 1.55 pounds more than the jar of pennies.
The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d
Calculating weightFrom the question, we are to determine the jar that weighs more
From the given information
His jar of pennies weighs 84.96 ounces
and his jar of nickels weighs 3.11 kilograms
First, we will 84.96 ounces to kilogram
From the given conversion,
There are 0.0283495 kilograms per ounce
That is, 0.0283495 kg = 1 ounce
If 1 ounce = 0.0283495 kg
Then,
84.96 ounces = 84.96 × 0.0283495 kg
∴ 84.96 ounces = 2.4086 kg
His jar of pennies weighs 2.4086 kg
Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.
3.11 kg - 2.4086 kg = 0.7014 kg
Convert 0.7014 kg to pounds
1kg = 2.20462 pounds
∴ 0.7014 kg = 0.7014 × 2.20462 pounds
0.7014kg ≅ 1.55 pounds
Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.
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Please help with the 4/5 problems:) I completely forgot how to do this! *please show work on how you got your answer!**
fully factorize
6xy-2x+3z-9zy
Answer:
(2x−3z)(3y−1)
Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)
(2x−3z)(3y−1)
What Probability that any random music purchased in 2004 was not a Music video. If the total American music sells in 2004 for Cd was 80 and Digital single was 15 and music video was 3 and other was 2??????? ( When it says other it means random music)
Answer:
97%
Step-by-step explanation:
HOW IS IT NOT 16 SOMEONE HELP
Answer:
18.7 units
Step-by-step explanation:
Diagonal² = 1² + 1²
= 2
[tex]\sf diagonal = \sqrt{2} = 1.41\\[/tex]
Perimeter = 3 + 3 + 9 *1.41
= 3 + 3 + 12.69
= 18.7 units
what is the rate change of the table?
The rate of change is $27 per month if the change in y values is 54 and change in x values is 2.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
From the data given in the table, we can find the rate of change per month:
To find the rate of change:
= change in y/ change in x
= (138-84)/(4-2)
= 54/2
= 27 per month
Thus, the rate of change is $27 per month if the change in y values is 54 and change in x values is 2.
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Write 8.6 x 10^-9 in Standard Form
Please help :)
Answer:
8.6 × 10-9
Step-by-step explanation:
Work out the area of the semi circle pi = 3.142 and radius 5
Answer:
39.25
Step-by-step explanation:
Area of circle is pi(3.14) times r^2.
Semi means half
So 3.14 times 5^2 = 78.5
Its a semi ciricle so its 78.5/2 which is 39.25
Walter wants to make 200 candles in the shape of a cone for his new candle business. The mold shown below will be used to make the candles. Each mold will have a height of 6 inches and a diameter of 2 inches. To the nearest cubic inch, what will be the total volume of 200 candles
Answer:
1256 cubic inches
Step-by-step explanation:
Volume of all 200 candles = volume of one mold × 200
Finding the volume of one mold:
We are given that the molds are in the shapes of cones and have a height of 6 inches as well as a diameter of 2 inches.
The volume of a cone can be calculated using the formula
V = πr²(h/3) where r = radius and h = height
Converting the diameter to radius
The volume of a cone formula requires the radius however we are only given the diameter. However we know that the radius is equal to half of the diameter or radius = diameter / 2
So if diameter = 2 then radius = 2 / 2 = 1 so r = 1
Plugging in the given values into the formula
V = πr²(h/3)
==> plug in r = 1 and h = 6 and π = 3.14 approximately
V = (3.14)1²(6/3)
==> simplify exponent
V = 3.14(1)(6/3)
==> divide 6 by 3
V = 3.14(2)
==> multiply 3.14 by 2
V = 6.28
Finding the volume of the 200 candles.
So we have calculated that the volume of one candle is about 6.28in³ and we want to find the volume of 200 of those candles.
To do so we simply multiply the volume of one of those candles by 200
So volume of 200 candles = 200 × 6.28 = 1256 cubic inches
What does each line on the protractor stand for?
one-half of a degree
ten degrees
one degree
five degrees
Answer: I'm a fourth grader Here's my answer One degree
I hope This helps and yes It will make sense because Each on line is one degree and I got A test And it was right Any questions just type In the comments
Someone help, will give brainliest to first right answer
Answer:
The arrow points to the left, the arrow points to the right, and there is a closed circle on 2 8/9
Step-by-step explanation:
I hope this helps!!
what is equivalent to -3/2
Answer:
-6/4
Step-by-step explanation:
equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4
please please help me i will give you a ton of points
Answer:
Step-by-step explanation:
(d). V ≈ 3016
S.A. ≈ 2261
