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 ?
What is the total rounded to the nearest tenth of 94.23
Evaluate 3(y-5) for y=7
Please help
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.
Learn more about standard deviation here:
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Ken has 4.66 pounds of walnuts ,2.1 pounds of cashew , and 8 pounds of peanuts .he mixes them together and divides them equally among 18 bags .how many pounds of nuts are in each bag ?
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.
Write the following comparison as a ratio reduced to lowest terms.
34 quarters to 10 dollars
Suppose that a person rolls two balanced dice three times in succession. determine the probability that on each of the three rolls, the sum of the two numbers that appear will be 7.
The number of combinations that will result in a sum of 7 is:
1 + 6
6 + 1
2 + 5
5 + 2
3 + 4
4 + 3
For a total of 6 combinations per roll. While the total number of combinations per roll are:
6 * 6 = 36
Hence the probability that the sum is 7 would be:
Probability = 6 / 36 = 1 / 6
For a succession of three times, the overall probability that each three rolls will be a sum of 7 is:
Overall probability = (1/6) * (1/6) * (1/6)
Overall probability = 1/216 = 4.63 x 10^-3 = 0.463%
Final answer:
The probability of rolling a sum of 7 three times in succession using two balanced dice is 1/216.
Explanation:
To determine the probability that on each of the three rolls of two balanced dice, the sum of the two numbers that appear will be 7, we first need to identify the probability of rolling a sum of 7 with a single roll of two dice. There are six ways to roll a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). The total number of possible outcomes when rolling two dice is 6*6 = 36. Therefore, the probability of rolling a sum of 7 on one roll is P(sum=7) = 6/36 = 1/6.
Since each roll is independent of the others, the probability of this event occurring three times in succession is the product of the individual probabilities. Thus:
P(First roll is 7) = 1/6P(Second roll is 7) = 1/6P(Third roll is 7) = 1/6Therefore, the probability of all three rolls resulting in a sum of 7 is:
P(Three 7's in a row) = P(First roll is 7) * P(Second roll is 7) * P(Third roll is 7) = (1/6) * (1/6) * (1/6) = 1/216.
C = 2πr; If r = 4.6, find C.
A rectangular flower box holds 1232 in3 of soil. Find the height of the box if it is 22 in. long and 7 in. wide
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 slope of the line that passes through th epoints (26, 7) and (-39, 12)?
An unknown number x is at most 30. Which graph best represents all the values of x?
Number line graph with closed circle on 30 and shading to the right.
Number line graph with closed circle on 30 and shading to the left.
Number line graph with open circle on 30 and shading to the left.
Number line graph with open circle on 30 and shading to the right
Answer:
b
Step-by-step explanation:
You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?
using a paid membership card to buy it at a 10 percent discount
buying it online at a 10 percent discount with a $5 shipping charge
buying it at a 10 percent discount without sales tax
Answer:
C.
buying it at a 10% discount without sales tax
Step-by-step explanation:
True or false: the population proportion and sample proportion always have the same value.
what is the sum of 2 3/8 and 3 3/7
Use the cosine double-angle identity cos(2θ) = 1 − 2sin2θ to derive an identity for 2sin2θ
To derive an identity for 2sin2θ using the cosine double-angle identity cos(2θ) = 1 − 2sin²θ, we can rearrange the equation and substitute the value of sin²θ to obtain the identity 2sin²θ = 1 - cos(2θ).
Explanation:To derive an identity for 2sin2θ using the cosine double-angle identity cos(2θ) = 1 − 2sin²θ, we can start by rearranging the equation to solve for sin²θ. This gives us sin²θ = (1 - cos(2θ))/2.
Next, we can substitute this value into the expression for 2sin²θ. This gives us 2sin²θ = 2(1 - cos(2θ))/2 = 1 - cos(2θ).
Therefore, the identity for 2sin²θ is 1 - cos(2θ).
solve the following system of equations 3x+4y=17 -4x-3y=-18
can someone please help me
f(x)=12sinx+12cosx. Find f'(x)
Use the distributive property to simplify the following expression 4x(2x-6)
[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
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[tex]\textsf{Using the distributive property, \textbf{a(b+c)=ab+ac}, expand the given expression:}[/tex]
[tex].\qquad\bullet\sf{4x(2x-6)=4x*2x-4x*6=8x^2-24x}[/tex]
[tex]\sf{\bf{$Answer: 8x^2-24x}}[/tex]
[tex]\Large\underbrace{\overbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]
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!!
assume heights of adult men are normally distributed. the average height of adult men in a certain country is 68.9 inches. the standard deviation of the heights is 2.4 inches. based on this data, what percentage of men in this country are taller than 73.7 inches?
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
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)
Let z ∼ norm(0, 1). use the normal table and also r's "pnorm" function to find (a) p r(z ≤ 1.45) (b) p r(z > −1.28) (c) p r(−0.674 ≤ z < 1.036) (d) p r(z > 0.836)
To find the probabilities using the normal table and R's pnorm function, follow these steps: (a) p r(z ≤ 1.45) is 0.9265 or 92.65%. (b) p r(z > −1.28) is 0.8997 or 89.97%. (c) p r(−0.674 ≤ z < 1.036) is 0.6017 or 60.17%. (d) p r(z > 0.836) is 0.2013 or 20.13%.
Explanation:To find the probabilities using the normal table and r's pnorm function, we can follow these steps:
For (a) p r(z ≤ 1.45), we can use the normal table or the pnorm function in R to find the area to the left of 1.45. The area is 0.9265 or 92.65%.
For (b) p r(z > -1.28), we can find the area to the left of -1.28 using the normal table or the pnorm function in R, which is 0.1003 or 10.03%. To find the area to the right of -1.28, we subtract this value from 1. The area is 0.8997 or 89.97%.
For (c) p r(-0.674 ≤ z < 1.036), we can find the area to the left of -0.674 using the normal table or the pnorm function in R, which is 0.2514 or 25.14%. To find the area to the left of 1.036, we can use the normal table or the pnorm function in R, which is 0.8531 or 85.31%. The difference between these two values gives us the area between the z-scores, which is 0.8531 - 0.2514 = 0.6017 or 60.17%.
For (d) p r(z > 0.836), we can find the area to the left of 0.836 using the normal table or the pnorm function in R, which is 0.7987 or 79.87%. To find the area to the right of 0.836, we subtract this value from 1. The area is 0.2013 or 20.13%.
what is the perimeter of (-6, 2), (3,2), (-6,-7) (3,-7)
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
Cassie has 1/2 pound of sugar in her cabinet. Her cake recipe calls for 2/10 of a pound of sugar. How many cakes can she make?
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