Answer:
A) 100%; B) 0.517; C) 0.858
Step-by-step explanation:
For part A,
We find the sum of the probabilities:
45.2+16.4+6.5+6.3+4.2+3.7+2.1+15.6 = 100
Since they sum to 100%, this is a probability distribution.
For part B,
We add together the probabilities for the US and Canada:
45.2+6.5 = 51.7% = 51.7/100 = 0.517
For part C,
We first add together the probabilities for Italy, the UK and France:
6.3+4.2+3.7 = 14.2%
Next we subtract this from 100%:
100-14.2 = 85.8% = 85.8/100 = 0.858
Final answer:
The table gives a probability distribution. The probability that a U.S. user obtained music from the United States or Canada is 51.7%. The probability that a U.S. user does not obtain music from Italy, the U.K., or France is 85.8%.
Explanation:
To verify that the table gives a probability distribution, we need to show that the sum of the percentages is equal to 100%. Summing the percentages from the table, we get:
45.2 + 16.4 + 6.5 + 6.3 + 4.2 + 3.7 + 2.1 + 15.6 = 100%
This confirms that the table does give a probability distribution for the experiment.
To find the probability that a U.S. user obtained music from either the United States or Canada, we add the percentages for these two countries:
45.2 + 6.5 = 51.7%
Therefore, the probability is 0.517 or 51.7%.
To find the probability that a U.S. user does not obtain music from Italy, the United Kingdom (U.K.), or France, we subtract the percentages for these three countries from 100%:
100% - (6.3 + 4.2 + 3.7) = 100% - 14.2% = 85.8%
Therefore, the probability is 0.858 or 85.8%.
Help with this question, please!!
Answer:
[tex]\large\boxed{C=22\pi y\ ft}[/tex]
Step-by-step explanation:
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
r - radius
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
We have the area of a circle
[tex]A=121y^2\pi ft^2[/tex]
Substitute to the formula and solve for r:
[tex]\pi r^2=121y^2\pi[/tex] divide both sides by π
[tex]r^2=121y^2\to r=\sqrt{121y^2}\\\\r=11y\ ft[/tex]
Put the value of r to the formula of a circumference:
[tex]C=2\pi(11y)=22y\pi ft[/tex]
2 fields of a state park are 1,200 meters from each other. On a map the 2 fields are 8 cm apart what scale is the map using
Answer: 150
Step-by-step explanation: a scale of 150 because 150 times 8 is 1,200.
Answer:
150
Step-by-step explanation:
find the product of this question down below
Answer:
[tex]\large\boxed{D)\ \dfrac{8}{7}}[/tex]
Step-by-step explanation:
[tex]8\left(-\dfrac{2}{7}\right)\left(-\dfrac{1}{2}\right)\\\\\text{the product of two negative numbers is positive}\\\\8\cdot\dfrac{2\!\!\!\!\diagup^1}{7}\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=8\cdot\dfrac{1}{7}\cdot\dfrac{1}{1}=\dfrac{8}{7}[/tex]
If sinA=3/5 and cosB=5/13 and if A and B are measures of two angles in Quadrant I, find the exact value of the following functions.
cotB =
sin2A=
3)cos(5pi/6 + B) =
tan(A - pi/4) =
Answer:
1. [tex]\cot B=\frac{5}{12}[/tex]
2. [tex]\sin2A=\frac{24}{25}[/tex]
3. [tex]\cos(\frac{5\pi}{6}+B )=-\frac{5}{26}(\sqrt{3}+1)[/tex]
4. [tex]\tan(A-\frac{\pi}{4} )=-\frac{1}{7}}[/tex]
Step-by-step explanation:
If [tex]\sin A=\frac{3}{5}[/tex] and [tex]\cos B=\frac{5}{13}[/tex], then we can use the Pythagorean identity to find [tex]\cos A[/tex] and [tex]\sin B[/tex].
[tex]\sin^2A+\cos^2A=1[/tex]
[tex](\frac{3}{5} )^2+\cos^2 A=1[/tex]
[tex]\frac{9}{25}+\cos ^2A=1[/tex]
[tex]\cos^2 A=1-\frac{9}{25}[/tex]
[tex]\cos^2 A=\frac{16}{25}[/tex]
[tex]\cos A=\pm \sqrt{\frac{16}{25}}[/tex]
Since A is in quadrant I,
[tex]\cos A=\sqrt{\frac{16}{25}}[/tex]
[tex]\cos A=\frac{4}{5}[/tex]
Also;
[tex]\sin^2B+\cos^2B=1[/tex]
[tex](\frac{5}{13} )^2+\sin^2 B=1[/tex]
[tex]\frac{25}{169}+\sin ^2B=1[/tex]
[tex]\sin^2 B=1-\frac{25}{169}[/tex]
[tex]\sin^2 B=\frac{144}{169}[/tex]
[tex]\sin B=\pm \sqrt{\frac{144}{169}}[/tex]
Since A is in quadrant I,
[tex]\sin B=\sqrt{\frac{144}{169}}[/tex]
[tex]\sin B=\frac{12}{13}[/tex]
This implies that;
[tex]\cot B=\frac{\cos B}{\sin B}[/tex]
[tex]\cot B=\frac{\frac{5}{13} }{\frac{12}{13} }[/tex]
[tex]\cot B=\frac{5}{12}[/tex]
[tex]\sin2A=2\sin A \cos A[/tex]
[tex]\sin2A=2\times \frac{3}{5} \times \frac{4}{5}[/tex]
[tex]\sin2A=\frac{24}{25}[/tex]
[tex]\cos(\frac{5\pi}{6}+B )=\cos(\frac{5\pi}{6})\cos(B )-\sin(\frac{5\pi}{6})\sin(B)[/tex]
This implies that;
[tex]\cos(\frac{5\pi}{6}+B )=\cos(\frac{5\pi}{6})\times \frac{5}{13}-\sin(\frac{5\pi}{6})\times \frac{5}{13}[/tex]
[tex]\cos(\frac{5\pi}{6}+B )=-\frac{\sqrt{3}}{2}\times \frac{5}{13}-\frac{1}{2})\times \frac{5}{13}[/tex]
[tex]\cos(\frac{5\pi}{6}+B )=-\frac{5}{26}(\sqrt{3}+1)[/tex]
[tex]\tan(A-\frac{\pi}{4} )=\frac{\tan A-\tan \frac{\pi}{4} }{1+\tan A \tan \frac{\pi}{4}}[/tex]
But; [tex]\tan A=\frac{\sin A}{\cos A}[/tex]
[tex]\tan A=\frac{\frac{3}{5} }{\frac{4}{5} }=\frac{3}{4}[/tex]
[tex]\tan(A-\frac{\pi}{4} )=\frac{\frac{3}{4}-\tan \frac{\pi}{4} }{1+\frac{3}{4} \tan \frac{\pi}{4}}[/tex]
Simplify;
[tex]\tan(A-\frac{\pi}{4} )=\frac{\frac{3}{4}-1 }{1+\frac{3}{4}}[/tex]
[tex]\tan(A-\frac{\pi}{4} )=-\frac{1}{7}}[/tex]
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found to be 109, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about mu if the sample size, n, is 29. (b) Construct a 96% confidence interval about mu if the sample size, n, is 25. (c) Construct a 90% confidence interval about mu if the sample size, n, is 29. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? LOADING... Click the icon to view the table of areas under the t-distribution.
Answer:
a: 105.2 < µ < 112.8
b: 104.872 < µ < 113.128
c: 105.841 < µ < 112.159
d: No, because n < 30
Step-by-step explanation:
For a - c, see attached photos for work. There are 2 formulas to use. The steps for constructing any confidence interval are the same, you will just use different numbers in the formula depending on what data is given to you.
d: With large sample sizes, the data often resembles normally distributed data, so we can still construct confidence intervals from the data.
Answer:
b
Step-by-step explanation:
Determine the nature of the roots:
Answer:
A. 2 distinct roots.
Step-by-step explanation:
2x^2 + 8x + 3 = 0
Finding the discriminant:
b^2 - 4ac = 8^2 - 4 * 2 * 3
= 64 - 24
= 40
The discriminant is positive but not a perfect square
So there are 2 distinct ,real, irrational roots.
Whats the original price of a pair of shoes in the sale price is $27 after a 25% discount
the original price would have been $36
Final answer:
The original price of a pair of shoes on sale for $27 after a 25% discount is calculated by dividing the sale price by 0.75, which gives us $36 as the original price.
Explanation:
To find the original price of a pair of shoes if the sale price is $27 after a 25% discount, we need to reverse the discount process. A 25% discount means that the sale price is 75% of the original price, since 100% - 25% = 75%. We can represent the original price with the variable 'P', and the equation we use is 0.75P = $27.
To find P, we divide both sides of the equation by 0.75:
P = $27 / 0.75
P = $36
Therefore, the original price of the pair of shoes was $36.
In the diagram of circle C, diameter AB¯¯¯¯¯¯¯¯ is perpendicular to chord MN¯¯¯¯¯¯¯¯¯¯ at point O.
If MO=5x−7 and NO=18, what is the value of x? More help in the attachment.
Answer:
The value of x is equal to [tex]5[/tex]
Step-by-step explanation:
we know that
The diameter divide the circle into two equal parts
In this problem
MO=NO
substitute the values
[tex]5x-7=18[/tex]
solve for x
Adds 7 both sides
[tex]5x=18+7[/tex]
[tex]5x=25[/tex]
Divide by 5 both sides
[tex]x=25/5=5[/tex]
please answer this TY
Answer:
the limit is 1/16
Step-by-step explanation:
At x=4, the function is indeterminate: 0/0, so l'Hopital's rule can be used to find the limit. Differentiating numerator and denominator, you get ...
lim = (1/√x) / (2x)
Evaluating this at x=4 gives (1/2)/8 = 1/16.
The limit as x approaches 4 is 1/16.
Carter's telephone bill is automatically deducting $48 from his bank account every month. How much will the deductions total for the year?
Answer:576
Step-by-step explanation: For every year, Carter’s telephone bill will be $576. This is because is we know how much he is charged a month, we can take that number and multiply it by 12. We are multiplying it by 12 because there are 12 months in 1 year. Once we multiplied it that’s how we find out the cost for 1 year.
Have a great day,
Eric
Find the limit if it exists.
Answer:
b. 27
Step-by-step explanation:
When finding the limit of a function with no domain restrictions, just plug in the value and evaluate the function
2(2)³ + 2² + 7
2(8) + 4 + 7
16 + 4 + 7
27
Answer:
the value of the given limit is 27
Step-by-step explanation:
[tex]\lim_{x \to 2} (2x^3+x^2+7)[/tex]
To find out the limit , we directly plug in 2 for x inside the given expression
[tex]\lim_{x \to 2} (2x^3+x^2+7)[/tex]
[tex]2(2)^3+(2)^2+7[/tex]
Evaluate the expression
[tex]2(8)+4+7[/tex]
[tex]27[/tex]
So, the value of the given limit is 27
Segments WK, XL, and YJ are medians of triangle WXY.
What is the length of segment WK?
A. 1
B. 6
C. 9
D. 18
A right triangle has legs of length 10 feet and 13 feet. What is the area of the triangle?
A) 65 ft^2
B)100 ft^2
C) 130 ft^2
D) 150 ft^2
Answer:
Option A. [tex]65\ ft^{2}[/tex]
Step-by-step explanation:
we know that
In a right triangle the legs are perpendicular
so
the area is equal to multiply the two legs and divide by two
[tex]A=\frac{1}{2}(10)(13)=65\ ft^{2}[/tex]
Final answer:
To find the area of a right triangle with legs of length 10 feet and 13 feet, you multiply the lengths and divide by 2. The calculated area is 65 square feet, making option A the correct answer.
Explanation:
The question is asking about the area of a right triangle. To find the area of any triangle, you use the formula A = (base × height) / 2. Since a right triangle has two legs that are perpendicular to each other, these legs can be considered as the base and the height of the triangle. In our case, we have legs of lengths 10 feet and 13 feet, so applying the formula:
A = (10 ft × 13 ft) / 2
= (130 ft²)/2
= 65 ft²
So, the area of the right triangle is 65 square feet, which corresponds to option A.
Assume the large circle is decreased in size, but it is still larger than the middle circle. Which is true? Answers in the pic
Answer:
haha I just answered a question kind of like this one. The answer would be 4.
Step-by-step explanation:
Although the 2 point circle is still the largest, the rim is skinnier now and the rim of the 4 point is now the biggest area avalible for the dart to be thrown at
Answer:
The answer is (a) The probability of scoring 0 is more likely.
Step-by-step explanation:
Can someone help me please. I can't figure out how to solve this problem.
Answer:
It's A . 13 / (5√10)
Step-by-step explanation:
AD = √(3^2 + 4^2) = √25
= 5 ( By the Pythagoras Theorem).
So sin 2α = 3/5 and cos 2α = 4/5.
m < B = α ( external angle of a triangle theorem)
and BD = AD = 5 (Isosceles triangle) and BC = 4+5 = 9.
AB = √(3^2 + 9^2) = √90 = 3√10
So sin α = 3 / 3√10 = = 1 /√10 and cos α = 9 /3√10 = 3/√10.
Finally sin 3α = sin (2α + α) = sin 2α cos α + cos 2α sin α
= 3/5 * 3 / √10 + 4/5 * 1/√10
= 13/(5√10).
HELP!!! PLEASE!!!! 70 POINTS AND WILL MARK BRAINLIEST!!!!!
Answer:
41
Step-by-step explanation:
Answer:
41
Step-by-step explanation:
What is the greatest common factor (GCF) of 32 and 48?
the answer is 16 :)))))
Answer: Choice B.
Step-by-step explanation: The correct answer is choice B - 16. 16 is the largest number that can evenly be divided into both 32 and 48.
Richard practice each of 3 piano solos for 5/12 hours how long did he practice in all?
Answer: 1 hour and 15 minutes
Step-by-step explanation: When you multiply the 3 piano solos each for 5/12 of an hour you get 15/12 or 1 and 1/4. Then since 1/4 of an hour is 15 minutes, you will know that the answer is 1 hour and 15 minutes.
At what value of x does the graph of the following function F(x) have a vertical asymptote?
F(x)= [tex]\frac{2}{x-2}[/tex]
A. 2
B. -2
C. 0
D. -1
Answer:
A. 2
Step-by-step explanation:
There is a vertical asymptote where the denominator is zero. (x-2) is zero when x=2.
An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 4 equal regions. The number of elements in the sample space of this experiment is
3
48
6
12
Answer:
The correct answer option is 48.
Step-by-step explanation:
In the given experiment, three events take place which include rolling a die, flipping a coin and spinning a spinner.
The possible outcomes of each of these events are as follows:
Rolling a die - 6
Flipping a coin - 2
Spinning a spinner - 4
Therefore, by multiplying their possible outcomes, we can find the number of elements in the sample space of this environment.
Number of elements = 6 × 2 × 4 = 48
Plz help8 Pamela is shopping for bottled water at the supermarket. Which is the best buy?
Answer:
Answer best buy is C 24 0.5-liter bottles for $5.25
Step-by-step explanation:
Answer:
its C trust me
given the two sets: A = {1, 2, 3}
B = {3, 2, 1}
which of the following is a true statement?
Answer:
[tex]\large\boxed{A\subseteq B}[/tex]
Step-by-step explanation:
[tex]A=\{1,\ 2,\ 3\},\ B=\{3,\ 2,\ 1\}\\\\4\in A-FALSE,\ \text{because only}\ 1\in A,\ 2\in A\ \text{and}\ 3\in A\\\\A\subseteq B-TRUE,\ \text{because any elements of A are the elements of B.}\\\\A\ \text{is infinite set}-FALSE,\ \text{because set A has a finite number of elements}\\\text{(three elements)}\\\\\O\notin B-FALSE,\ \text{because the empty set is subset of any set.}[/tex]
The cheetah traveled 1.75 times faster for the first 8 minutes than it did for the second 8 minutes. Was the distance traveled during the first 8 minutes 1.75 times greater than the distance traveled during the second 8 minutes? Show the calculation to justify your answer.
Answer:
yes, distance travel in first 8 minute is 1.75 time higher than second 8 minutes
Step-by-step explanation:
Given data:
speed in first 8 minute is 1.75 faster than 2nd 8 minutes.
from the above information we can say that time remain same in both situation and we know that speed is given as
speed = distance / time
since time remain same in both case. Therefore speed is directly proportional distance having time as constant
As speed is 1.75 times higher in first 8 minutes than second 8 minutes therefore distance also behave in the same way i.e distance travel in first 8 minute is 1.75 time higher than second 8 minutes
(a) What is a sequence? A sequence is the sum of an unordered list of numbers. A sequence is the product of an ordered list of numbers. A sequence is an unordered list of numbers. A sequence is an ordered list of numbers. A sequence is the sum of an ordered list of numbers. (b) What does it mean to say that lim n → ∞ an = 8? The terms an approach -infinity as 8 approaches n. The terms an approach infinity as n become large. The terms an approach 8 as n becomes small. The terms an approach 8 as n becomes large. The terms an approach infinity as 8 approaches n. (c) What does it mean to say that lim n → ∞ an = ∞? The terms an become large as n becomes large. The terms an become small as n becomes large. The terms an become small as n becomes small. The terms an approach zero as n becomes large. The terms an become large as n becomes small.
Answer:
A) A sequence is an ordered list of numbers; B) The terms an approach 8 as n becomes large; C) The terms an become large as n becomes large.
Step-by-step explanation:
A) A sequence is an ordered list of numbers, letters, colors, or other objects. It is essentially a pattern.
B) [tex]n \to \infty (a_n) = 8[/tex] shows n approaching infinity. This means n, the term numbers of [tex]a_n[/tex], get large. The fact that it equals 8 means that the terms of the sequence approach 8 as n gets large.
C) [tex]n \to \infty (a_n) = \infty[/tex] shows n approaching infinity. This means n, the term numbers of [tex]a_n[/tex], get large. The fact that it equals infinity means that the terms of the sequence become large as n becomes large.
Suppose a computer technical support representative can answer calls from 8 customers in an hour. What is the probability that a customer will be on hold less than 15 minutes?
Answer:
Option d
Step-by-step explanation:
We need 2 fundamental data to solve this problem.
1.- Average number of clients attended in 1 hour.
2.- Time in which it is expected that a client will be attended.
They tell us that the average number of clients served in an hour is m = 8
They tell us to calculate the probability that the client will be seen in less than 15 minutes.
But the time t in the formula is given in hours.
Therefore we must write 15 minutes according to hours.
We know that [tex]1\ hour = 60 minutes[/tex].
So:
[tex]15\ minutes[\frac{1\ hour}{60\ minutes}] = 0.25\ hours[/tex].
Now we substitute in the formula [tex]m = 8[/tex] and [tex]t = 0.25[/tex] to find P.
[tex]P = 1 -e^{-mt}\\\\P = 1- e^{-(8)(0.25)}\\\\P = 1 - e^{-2}\\\\P = 0.8646\\\\P= 86\%[/tex]
Answer:
D edge
Step-by-step explanation:
What additional information is needed to prove triangle LMN is congruent to triangle KMN using the HL theorem?
∠LMN is a right angle
Step-by-step explanation:If we want to prove that two right triangles are congruent by knowing that the corresponding hypotenuses and one leg are congruent, we begin as follows:
Since two legs are congruent and we know this by the hash marks, then the triangle ΔLKN is isosceles.By definition LN ≅ NKIf ∠LMN is a right angle, then MN is the altitude of triangle ΔLKNAlso MN is the bisector of LK, so KM ≅ MLSo we have two right triangles ΔLMN and ΔKM having the same lengths of corresponding sides In conclusion, ΔLMN ≅ ΔKMNleg MN of both triangle is equal.
Step-by-step explanationHL stands for "Hypotenuse, Leg" (the longest side of a right-angled triangle is called the "hypotenuse", the other two sides are called 'legs', or 'base' and 'height'.
It means we have two right-angled triangles with
the same length of hypotenuse the same length for one of the other two legsSince ∠ LMN and ∠KMN are right angle , the hypotenuse LN and and one leg LN of one right-angled triangle LMN are equal to the corresponding hypotenuse KN and leg MN of another right-angled triangle MKN, hence the two triangles are congruent.
explain this if you can i struggle with Discrete and Continuous Data
Answer:
option A
{1, 2, 4, 7, 9}
Step-by-step explanation:
The domain of a function is the complete set of possible values of the independent variable. Mostly it is 'x' values.
In the figure the tail of arrow represent values of domain and head of arrow represent values of range.
So,
{1, 2, 4, 7, 9} is the domain of G(x) and {3, 5, 8} is the range
Geometry help needed!
Answer:
13.76
Step-by-step explanation:
Area of the whole
The area of the whole = s^2 (the firgure is a square
s = 8
Area of the whole = 8^2 = 64
Area of the unshaded part
The 2 half circles = 1 whole circle
The radius of the 1/2 circle = 4 (eight has been cut in half)
Area of two half circles = 2* (pi r^2/2)
Area of two half circles = 2 * (pi 4^2/2)
area of two half circles = 16*pi
Area of the shaded area
Area of the shaded area = area of the whole - area of the unshaded area
Area of the shaded area = 64 - 16*pi
Area of the shaded area = 64 - 3.14*16 = 13.76
Find the surface area of a cylinder that has a raius of 13.5 cm., and a height of 90 cm. Show all work without using a calculator.
[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=13.5\\ h=90 \end{cases}\implies SA=2\pi (13.5)(90+13.5) \\\\\\ SA=27\pi (103.5)\implies SA=2794.5\pi \implies SA\approx 8779.18[/tex]
well, the last part will be with a calculator, but you can simply use the area in π terms.
A single ball is taken at random from an urn containing 10 balls numbered 1 through 10. what is the probability of obtaining a ball whose number is less than 7?
To find probability you can use proportions
What i would do is 6/10 since it cant be 7 and then cross multiply it by 1/10.
This should get you 60%
The probability of selecting a ball numbered less than 7 from an urn containing balls numbered 1 to 10 is 6 favorable outcomes out of 10 possible outcomes, which simplifies to 3/5 or 0.6.
Explanation:The question is asking about the probability of selecting a ball with a number less than 7 from an urn with balls numbered from 1 to 10. To determine this probability, we count how many balls have numbers less than 7 which are 1, 2, 3, 4, 5, and 6. That gives us 6 balls. Since all balls are equally likely to be chosen, and there are 10 balls in total, the probability of drawing one with a number less than 7 is the number of favorable outcomes divided by the total number of outcomes.
Here is the calculation:
Count the favorable outcomes (balls numbered less than 7): 6.Count the total number of outcomes (all balls): 10.Calculate the probability: Number of favorable outcomes / Total number of outcomes = 6/10.Therefore, the probability of drawing a ball with a number less than 7 is 6/10 which simplifies to 3/5 or 0.6.