How is adding 4.56 + 2.31 similar to adding $2.31 + $4.56?
What is the value of x?
A population consists of all the weights of all defensive tackles on a university's football team. they are johnson, 204 pounds; patrick, 215 pounds; junior, 207 pounds; kendron, 212 pounds; nicko, 214 pounds; and cochran, 208 pounds. what is the population standard deviation (in pounds)?
The population standard deviation of the weights of the defensive tackles is approximately 3.96 pounds.
Here, we have to calculate the population standard deviation,
Calculate the mean:
Mean = (204 + 215 + 207 + 212 + 214 + 208) / 6
Mean = 1260 / 6
Mean = 210 pounds
Calculate the squared differences between each weight and the mean:
[tex](204 - 210)^2 = 36\\(215 - 210)^2 = 25\\(207 - 210)^2 = 9\\(212 - 210)^2 = 4\\(214 - 210)^2 = 16\\(208 - 210)^2 = 4[/tex]
Find the mean of the squared differences:
Mean of squared differences = (36 + 25 + 9 + 4 + 16 + 4) / 6
Mean of squared differences = 94 / 6
Mean of squared differences = 15.67
Take the square root of the mean of squared differences:
Population standard deviation = √(15.67)
Population standard deviation ≈ 3.96 pounds
So, the population standard deviation of the weights of the defensive tackles is approximately 3.96 pounds.
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What is the total rounded to the nearest tenth of 94.23
I thought of a number, then divided it by another number, and got a result of 7. Think of the possible values for my number and the number I divided it by. What number is impossible to divide by? What number can my original number not be?
My number is a multiple of ?
The number I divided my number by can be any number but ?
My number cannot be a number which we cannot divide by ?
Evaluate 3(y-5) for y=7
Please help
solve the following system of equations 3x+4y=17 -4x-3y=-18
Use the cosine double-angle identity cos(2θ) = 1 − 2sin2θ to derive an identity for 2sin2θ
To derive an identity for 2sin2θ using the cosine double-angle identity cos(2θ) = 1 − 2sin²θ, we can rearrange the equation and substitute the value of sin²θ to obtain the identity 2sin²θ = 1 - cos(2θ).
Explanation:To derive an identity for 2sin2θ using the cosine double-angle identity cos(2θ) = 1 − 2sin²θ, we can start by rearranging the equation to solve for sin²θ. This gives us sin²θ = (1 - cos(2θ))/2.
Next, we can substitute this value into the expression for 2sin²θ. This gives us 2sin²θ = 2(1 - cos(2θ))/2 = 1 - cos(2θ).
Therefore, the identity for 2sin²θ is 1 - cos(2θ).
how many fossil kits with 10 samples each have the same number of fossils as 30 fossil kits with 8 samples each?
Answer:
24 fossil kits.
Step-by-step explanation:
Given,
The number of fossil kits = 30,
the number of samples each has = 8,
So, the total samples = number of fossil kits × the number of samples contained by each kit
= 30 × 8
= 240,
Let x be the number fossil kits with 10 samples each,
Total samples = 10x
According to the question,
10x = 240
[tex]\implies x =\frac{240}{10}=24[/tex]
Hence, there would be 24 fossil kits with 10 samples each.
Chris answered 61/66 questions correctly. What is his test average to the nearest thousandth?
Car A began a journey from a point at 9 am, traveling at 30 mph. At 10 am car B started traveling from the same point at 40 mph in the same direction as car A. At what time will car B pass car A
Car a 30(t+1)
Car b 40t
30(t+1) =40t
30t+30 =40t
30=10t
T = 30/10 = 3hours
9 +3 = 12 noon
f(x)=12sinx+12cosx. Find f'(x)
What produces a graph in a straight line
C = 2πr; If r = 4.6, find C.
Find the value of x and the value of y.
A.
x = 10, y = 130
B.
x = 65, y = 10
C.
x = 65, y = 130
D.
x = 130, y = 10
the 2 angls need to equal 180 degrees
so 2x-y + 60 = 180
and 2x+y + 40 = 180
using the choices you have
answer is B x = 65, y = 10
when you use those values they both equal 180
Line IJ has an equation of a line y = −3x − 8. Which of the following could be an equation for a line that is parallel to line IJ?
A) y=3x+7
B) y=1/3x+7
C) y= -3x+7
D) y= -1/3x+7
C) y = -3x +7
Step-by-step explanation:It's all about recognizing patterns.
The form of the equation is ...
... y = mx + b
In this form, the coefficient of x, which we called "m" in the above, is the slope of the line. When two lines have the same slope, they are parallel. So, we're looking for an equation that has an x-coefficient of -3, the same as in the given equation.
The coefficient of x in selection C is -3, so that is our answer choice.
... C) y = -3x +7
Answer:
y = -3x +7 which is option C
got it right on my test.
A scatterplot is produced to compare the size of a lake to the number of fish that are in it. There are 15 data points, each representing a different lake. The points are widely dispersed on the scatterplot with no pattern of grouping. Interpret what the results of the scatterplot tell you about the relationship between the two variables.
Based on the dispersion of the scatterplot, we can infer that there is no relationship between the variables.
Relationships in scatterplots Data points are used to predict relationships. If a line can be drawn based on these data points, then a relationship exists.The fact that these data points are dispersed however and offer no form of grouping, means that the variables are not related and show no correlational trend.
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A wooden crate is a cube with edge lengths of 18 inches. The crate contains tiny plastic tubes with edge lengths of 3 inches. How many plastic cubes can fit inside the wooden crate. PLEASE EXPLAIN
18^3 = 5832 (volume of crate)
3^3 = 27 ( volume of small cubes)
5832/27 = 216 cubes ( divide volumes to get number of cubes)
Ari’s teacher says he may have his report grade based on either the mean or the median of his last six test scores.
88%, 73%, 97%, 76%, 90%, 80%
Answer: The Mean
The mean is when you add up all of those grades and divide by the amount of exams.
what is the sum of 2 3/8 and 3 3/7
Find the integer a such that
a.a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.
The integer a such that a ≡ 43 (mod 23) and −22 ≤ a ≤ 0 is -3. A zero, a positive natural number, or a negative integer with a minus sign is an integer.
What do we mean when we say that integers are congruent to modulo?When two positive integers a and b are divided by a positive integer n, they are said to be congruent modulo n (or an is congruent to b modulo n), or if a b is divisible by n. It can be expressed as a b mod n, where n is the modulus.If n is a positive integer, then the integers a and b are said to be congruent modulo n, as denoted by the expression a b (modn).Division algorithm Allow dd and aa to be both positive integers. Following that, there are two distinct integers, qq and rr, where rd0 and rd are equal, resulting in a = dq + ra = dq + rTherefore,
-3 is in between -22 and 0 so a =-3
a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.
a ≡ 43 (mod 23)
≡ 43-22 (mod 23)
Simplifying,
≡ 20 (mod 23)
≡ 20-23 (mod 23)
Then we get,
≡ -3 (mod 23)
-3 is in between -22 and 0 so a =-3
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Jemma has 24 balls. Out of the 24 balls,
12 are yellow, 4 are pink, and the rest
are red. What is the ratio of the number
of red balls to the number of balls that
are either yellow or pink?
Find the point of intersection of the tangent lines to the curve r(t) = 5 sin(πt), 6 sin(πt), 3 cos(πt) at the points where t = 0 and t = 0.5.
can someone please help me
Multiply and give the answer in scientific notation: (2.3 x 10^-3) (3 x 10^8 =
A. 6.9 x 10^5
B. 6.9 x 10^11
C. 6.9 x 10^-5
D. 6.9 x 10^24
PLEASE HELP!!
what is the perimeter of (-6, 2), (3,2), (-6,-7) (3,-7)
Sadie has a blue ribbon and a red ribbon. The blue ribbon is 12 inches long. The blue ribbon is 3 times longer than the red ribbon.
Which operation would be best to use to determine the length of the red ribbon?
addition
division
multiplication
subtraction
put these in order from the smallest
6² 3 to the power of 4 2 to the power of 5 5³
A)- -17
B)- -8
C)- -2
D)- 2
E)- 5
F)- 8
G)- 15
SELECT ALL THAT APPLY
Write the following comparison as a ratio reduced to lowest terms.
34 quarters to 10 dollars