Answer:
The discounted price is $260
Step-by-step explanation:
Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%.
What was the discounted price of the bike?
To find the discounted price of the bike, if Jack bought a motorbike that originally costs $1300 and got a discount of 20%, we will follow the steps below;
find 20% of $1300
20% of $1300 = 20% × $1300 =[tex]\frac{20}{100}[/tex] × $ 1300 = 20×$13 = $ 260
Therefore, the discounted price is $260
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:
Opinion A: Improving the healthcare system is more important than improving the education system.
Opinion B: Improving the education system is more important than improving the healthcare system.
Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."
The outcomes were as follows:
39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."
Part A: Create and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)
Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)
Answer:
A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B
= (0.51, 0.57)
This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)
B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Step-by-step explanation:
Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.
Critical value = 2.33
Standard error = σₓ = √[p(1-p)/n]
p = sample proportion = 0.54
n = sample size = 1500
σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287
98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]
CI = 0.54 ± (2.33 × 0.01287)
CI = 0.54 ± 0.02998)
98% CI = (0.51, 0.57)
98% Confidence interval = (0.51, 0.57)
B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?
For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;
- The sample data must have been obtained using a random sampling technique.
- The sampling distribution must be normal or approximately normal.
- The variables of the sample data must be independent of each other.
On the second point, the condition for a binomial distribution to approximate a normal distribution is that
np ≥ 10
and n(1-p) ≥ 10
The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.
For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Hope this Helps!!!
Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x
Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD
Step-by-step explanation:
Simplify the radicals in the given expression:
8^3√a^4b^3c^2-14ab^3√ac^2
8ab√ac^2-14ab^3ac^2
8a^2ba^3√b-14abc^3a
8ab^3ac^2-14ab^3√ac^2
8a^2bc√b-14abc√a
i've gotten the answer it is "8ab^3ac^2-14ab^3√ac^2"
Answer: it’s option c
Step-by-step explanation:
Simplified form of radical 8∛(a⁴b³c²)-14b∛(ac^(2)) is -6ab∛ac².
What is radical?
The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.
Given radical
8∛(a⁴b³c²)-14b∛(ac^(2))
Rewriting a⁴b³c² as (ab)³ ac²
8∛((ab)³ac²)-14b∛(ac²)
8ab∛ac² - 14b∛ac²
-6ab∛ac².
Hence, -6ab∛ac² is the simplified form of 8∛(a⁴b³c²)-14b∛(ac^(2)).
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Take a number from 2 to 9
Double it
Again double it
Add the number you took
first to the answer
Now again double it
Divide by 10 what did you got
ans below which no. did you took and what did you get the ans
Answer:
7
Step-by-step explanation:
It worked my number was 7.
7*2=14
14*2=24
24+7=35
35*2=70
70/10=7
7!!!
Find two numbers, if their sum is 49 and their difference is 1/2 .
Answer:
[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]
Step-by-step explanation:
Let the two numbers be x and y
So we have:
[tex]x +y = 49\\x-y=\frac{1}{2}[/tex]
using the elimination method, add the two equations together:
[tex]2x=49\frac{1}{2} \\2x=\frac{99}{2}[/tex]
solve for x:
[tex]x=\frac{99}{4}\\x=24\frac{3}{4}[/tex]
substitute our value for x back into the first equation we made:
[tex]x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}[/tex]
therefore,
[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 27 bags of leaves. How much money did he earn?
Answer:
$54 : 27 bags
Step-by-step explanation:
its to much to explain
i got my math wrong
Consider circle Y with radius 3 m and central angle XYZ measuring 70°.
Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
1.8 meters
3.7 meters
15.2 meters
18.8 meters
Answer:
3.7
Step-by-step explanation:
The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters
How to calculate the length of an arcThe length of an arc is expressed as:
L = r theta
Given the following parameters
r = 3m
theta = 70 degrees = 70π/180
L = 3(70π/180)
L = 3.7 metres
Hence the lenght of an arc is 3.7meters
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Pedro, Lena, Harriet, and Yermin each plot a point to approximate StartRoot 0.50 EndRoot. Pedro A number line going from 0 to 0.9 in increments of 0.1. A point is between 0.2 and 0.3. Lena A number line going from 0 to 0.9 in increments of 0.1. A point is between 0.4 and 0.5. Harriet A number line going from 0 to 0.9 in increments of 0.1. A point is at 0.5. Yermin A number line going from 0 to 0.9 in increments of 0.1. A point is just to the right of 0.7. Whose point is the best approximation of StartRoot 0.50 EndRoot?
Answer:
Yermin. √0.5 will be at Yermin's point
Step-by-step explanation:
Say Pedro line point is 0.25
Lena is 0.45
Harriet is 0.5
and Yermin is 0.7
The √0.5 = 0.707
≈ 0.7
Therefore it is at Yermin's point
Answer
DDDDDDDDDDDDDDD
Step-by-step explanation:
write an expression for the perimeter of the rectangle given 3x+4 and 2x-3
Answer:
2(3x+4) + 2(2x-3)
Step-by-step explanation:
this is because to be able to find the perimeter you use the formula 2(l) + 2(w)
The expression for the perimeter of the rectangle is 10x + 2.
What is the expression for the perimeter of the rectangle?Given the sides of the rectangle:
Length = 3x+4
Width = 2x-3
To determine the expression for the perimeter of the rectangle, we need to consider that the perimeter of a rectangle is given by the sum of all its sides.
The expression for the perimeter (P) is calculated as follows:
Perimeter = 2(Length + Width)
Plug these values into the perimeter formula:
P = 2(3x+4 + 2x-3)
Now, let's simplify the expression:
P = 2(5x + 1)
Finally, we can further simplify it:
P = 10x + 2
Therefore, the perimeter is 10x + 2.
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What is the y-intercept of line 12?
Answer:
y int. of line 1 = 0
y int. of line 2 = 4
Step-by-step explanation:
hope this helps! moo!
Answer:
Answers are below
Step-by-step explanation:
The y-intercept of line 1 is 0 because it crosses the y-axis at 0.
The y-intercept of line 2 is 4 because it crosses the y-axis at 4.
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =
Answer: x = - 3.5
Step-by-step explanation:
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
Completing the square method :
Divide through by the Coefficient of x^2
x^2 + 7x + (49/4) = 0
a = 1, b = 7, c = 49/4
Move c to the right side of the equation
x^2 + 7x = - 49/4
Complete the square on the left hand side by squaring its half of the x term
(7/2)^2 = (49/4)
Add the output to both sides of the equation
x^2 + 7x + (49/4) = - (49/4) + (49/4)
(x + 7/2)^2 = 0
Square root of both sides
x + 7/2 = 0
x = - 7/2
x = - 3.5
Answer:
x = - 3.5
Step-by-step explanation:
A basketball has a volume of 23047 cm
What is the diameter of this basketball?
4 of 5 QUESTIONS
24 cm
16.6 cm
27.7 cm
12 cm
SUBMIT
Answer:
17.65693585 = r
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
23047 = 4/3 (3.14) r^3
23047 = 4.1866666666 r^3
Divide by 4.186666 on each side
23047/4.18666666 = 4.1866666666/4.18666666 *r^3
5504.856688 = r^3
Take the cubed root on each side
(5504.856688)^1/3 = r^3^(1/3)
17.65693585 = r
The algebraic expression below is a polynomial.
(x-1^k)
where k is a real number.
Please select the best answer from the choices provided
T
F
Answer:
T
Step-by-step explanation:
Just did it
Hey! Please help me with this fast! Choose all that are correct!!
Answer:
4.6257
4.6285
4.632
Step-by-step explanation:
Circle M is shown below. AB is tangent to the circle at point A. The radius of a circle M is 15. JB = 10. DF = 18. AC = 10.
Answer:
e
Step-by-step explanation:
One of the first things we notice in this dream is an
amazing universalism. It does not say some men, but it
says all men. It does not say all white men, but it says all
men, which includes black men. It does not say all
Gentiles, but it says all men, which includes Jews. It does
not say all Protestants, but it says all men, which includes
Catholics.
- "The American Dream,"
Dr. Martin Luther King, Jr., 1964
How does this passage make use of an appeal to
logos?
It explains what "all men" means and what it
includes.
It relies on the use of the word "amazing."
It focuses on the use of negative words.
It points out differences in religion.
Intro
Done
When talking about logos, we look for strong words and phrases, as well as repitition.
1. Elimination
The answer is surely not "It relies on the use of the word 'amazing.'" This is because it is not important, and not repeated. If we were to remove this word, this secton of the speech would still be powerful.
The answer is not likely to be "It focuses on the use of negative words." This is because negative words are not included in this, so there isn't a focus on them.
The answer is not "It points out differences in religion" because mentioning religion was a small detail. It doesn't point out the differences in religion, but rather points out there are different religion. Nonetheless, this is just an example to prove MLK's point and wouldn't be right anyway,
2. Conclusion
Because we have eliminated all answers but one, we skip a few steps. We now must justify why the answer is the remaining choice.
The answer is most likely "It explains what 'all men' means and what it includes." This is because not only is this statement the evident main idea, it also includes the powerful repitition that is utilized to display a message.
If we were to apply this to another section of a Martin Luther King Jr. speech, "I Have a Dream", we would find the answer includes thw words "I Have a Dream". This line could be considered the most quotable and well-known quotes related to social justice. The line is repeated many times, with elaborations, just as "all men" is.
Please let me know if this helped, or if you have any questions! If you wouldn't mind, I'd be very grateful for a rating! Thank you!
Answer:
A. It explains what “all men” means and what it includes.
Step-by-step explanation: It told me once I got it wrong because the answer on here was useless. Good luck on your assignment!
Neil goes to the pet shop and selects a treat for his dog. He chooses one, then chooses another. What is the probability Neil selects a bone and then a ball? There are 3 collars, 4 bones, and 5 balls.
Answer:
15.15% probability that Neil selects a bone and then a ball
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Initially, there are 3+4+5 = 12 treats. 4 of those are bones. So the probability of selecting a bone is 4/12 = 1/3.
Now suppose a bone has been selected. Now there are 11 treats, 5 of which are balls. So the probability of selecting a ball in this situation is 5/11.
What is the probability Neil selects a bone and then a ball?
[tex]p = \frac{1}{3}*\frac{5}{11} = \frac{5}{33} = 0.1515[/tex]
15.15% probability that Neil selects a bone and then a ball
A coin weighs about 14 to the negative second pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.
Answer:
i think its about 5 pounds idk please tell me if im wrong..
Step-by-step explanation:
The answer is: 250/49 because 14^-2 is equal to 1/196 and if you multiply that by 1000 it equals 250/49 or 5.1
What is the volume of the prism below?
O A. 144 units 3
B. 56 units
C. 288 units 3
D. 180 units 3
Answer:
A. 144 units³
Step-by-step explanation:
Volume of prism= 1/2×height× base × length
Height= 3
Base= 8
Length= 12
Lets put all of these together
1/2×3 × 8 × 12
1/2×3 = 3/2 × 8 = 12 × 12 = 144 units³
John weighs 1.5 times as much as Ellen. If John weighs 144 pounds how much does Ellen weigh?
Answer:
Ellen weighs 96 lbs
Step-by-step explanation:
Look at the attachment
Answer:
It could be wrong but i got 96lbs
Step-by-step explanation:
144 divided by 1.5
What is the simplified form of - picture
Answer:
the answer and explanation are In the picture
hope this helps
please like and Mark as brainliest
The volume of a cone is 36 pi inches cubed. What is the volume of a cylinder with the same base and height as the cone?
12 pi inches cubed
36 pi inches cubed
72 pi inches cubed
108 pi inches cubed
Answer:
the answer is d! :)
Step-by-step explanation:
edge 2021
Answer:
it is D.
Step-by-step explanation:
the person ubove me is right
You invest $2,000 into a savings account that gets 5% interest compounded yearly. How much money will you have after 7 years?
A.
$14,713.23
B.
$2,814.20
C.
$54,112.88
D.
$3,286.33
Answer:B
Step-by-step explanation:
$2000×1.05^7=$2814.20
Answer:
B
Step-by-step explanation:
P = $ 2000
r =5% = 0.05
t = 7 years
[tex]Amount=P*(1+\frac{r}{100}})^{t}\\\\=2000*(1+0.05)^{7}\\\\=2000*(1.05)^{7}\\\\=2000*1.4071\\\\[/tex]
= $ 2814.20
what’s a negative about plus a positive
Answer:
Step-by-step explanation:
when adding a negative plus a positive, count forward the amount you're adding from the negative number. Like -5+2, -5--> -4--> -3
10/root 11 minus one
Answer:
1100
Step-by-step explanation:
I just guessed!
The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?
Answer: 0.75
Step-by-step explanation: just had the question on usa tp
Estimate the product. 0.55 x 2.2
Answer:
2
Step-by-step explanation:
0.55 rounded is 1,
2.2 rounded is 2.
1×2=2
have a great day
Solve for x2= 9/49. Show your step-by-step.
Answer:
x = [tex]\frac{3}{7}[/tex], x = [tex]\frac{-3}{7}[/tex]
Step-by-step explanation:
The first step is to get rid of the square on the x, and to get rid of it, you square root both sides of the equation, like so:
[tex]x^{2} = \frac{9}{49}[/tex]
[tex]\sqrt{x^2} = \sqrt{\frac{9}{49} }[/tex]
A perfect square is when a number has two factors that are identical to one another. In this case, 9 and 49 are both perfect squares, meaning we can break them down:
The square root of 9 is 3. (3 · 3 = 9)
The square root of 49 is 7. (7 · 7 = 49)
x = [tex]\frac{3}{7}[/tex]
The answer is also x = [tex]\frac{-3}{7}[/tex] because a negative · a negative = a positive.
Solve for x. 2/5 (x − 17) = 26 x=
Answer:
x =82
Step-by-step explanation:
2/5 (x − 17) = 26
Multiply each side by 5/2
5/2 *2/5 (x − 17) = 26*5/2
x-17 =65
Add 17 to each side
x-17+17 = 65+17
x =82
Answer:
Step-by-step explanation:
u got to just learn how to do it
There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?
Answer:
c
Step-by-step explanation:
The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Given:
The number of violet balls is 2.
The number of pink balls is 4.
To find:
The probability of getting violet first and pink next, if the first ball drawn is replaced.
Explanation:
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Total number of balls is:
[tex]2+4=6[/tex]
The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].
The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].
The probability of getting violet first and pink next, if the first ball drawn is replaced is:
[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]
[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]
[tex]P=\dfrac{2}{9}[/tex]
Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
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