Answer:
A. 71% (±18%)
Step-by-step explanation:
Based on the confidence interval relation :
Mean ± Margin of error
The mean could be any given value :
However, the margin of error at a given confis nce level will will affected by the sample size, larger sample sizes will result in smaller margin of error values as the it will result in a large value denominator hence giving a small margin if error value when divided.
Margin of Error = Zcritical * σ/√n
Since.weve been told that the sample size is small, this will result in a large error margin value, from the options given, the value with the largest error margin value will be produced by the smallest samole size. Hence the option with the largest error margin value is ; ±18%
£100 is deposited in a bank paying 2.25% simple interest per annum. How much interest will have been paid after 5 years?
Answer:
£11.25
Step-by-step explanation:
The formula to calculate simple interest is given as:
Simple Interest = Principal × Rate × Time
Principal = Amount deposited in the bank = £100
Interest rate = 2.25%
Time in years = 5 years
Hence,
Simple Interest = £100 × 2.25% × 5
= £11.25
Therefore, the interest that will have been paid after 5 years is £11.25
The difference of two trinomials is x square - 10x+2. If one of the trinomials is 3x squared -11x-4, then which expression could be the other trinomial?
Answer:
4x²+21x-2
(OR)
2x²-x-6
Step-by-step explanation:
According to the Question,
Given, The difference Between two trinomials is x²-10x+2 & If one of the trinomials is 3x²-11x-4.
Let, Two Trinomials are P(x) = A & Q(x) = 3x²-11x-4
Then, P(x) - Q(x) = x²-10x+2
Put Value, We get
A - (3x²-11x-4) = x²-10x+2
A = x²-10x+2 + (3x²-11x-4)
A = x²-10x+2 + 3x²-11x-4
A = 4x²+21x-2
(OR)
If we Let, Two Trinomials are Q(x) = A & P(x) = 3x²-11x-4
Then, P(x) - Q(x) = x²-10x+2
Put Value, We get
(3x²-11x-4) - A = x²-10x+2
A = 3x²-11x-4 - (x²-10x+2)
A = 3x²-11x-4 - x²+10x-2
A = 2x²-x-6
The length of a rectangle is three times its width.
The perimeter of the rectangle is 96 cm.
Label the diagram with the correct length and width for the rectangle
cm
cm
A.step 1
B.step 2
C.step 3
D.step 4
Please help
Answer:
Step 3
Step-by-step explanation:
need help with these!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
evaluate 3ac - a + 2b, if a=2, b=1 and c=4 pls help me thk u
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
8/15 of an hour
Step-by-step explanation:
Add the fractions together
1/3 + 1/5
Get a common denominator
1/3 *5/5 = 5/15
1/5 *3/3 = 3/15
Add together
5/15 + 3/15 = 8/15
Answer:
8/15
Step-by-step explanation:
1/3 x 5 = 5/15
1/5 x 3 = 3/15
5/15 + 3/15 = 8/15
A theater group bought supplies to construct the
hardware cost $17.63.
to construct the set of a play. Lumber cost $145.86, paint cost $52.91, and
(c) What percent
of the total cost was the cost of the
Text
decimal rounded to the
paint and the hardware? Write your answer as a
nearest thousandth. Show
Show your work.
Answer:
Step-by-step explanation:
17.63+145.86+52.91=206.40
i have no clue what you really need the question is unclear
help meeeeeeeeeee!!!
Answer: 2.9166666666633333333333333333333
Step-by-step explanation:
Answer:
35/12
Step-by-step explanation:
which graph shows the line y = -3x + 1
A jar contains five red marbles and three green marbles. A
marble is drawn at random and not replaced. A second marble is
then drawn from the jar.
find the probability that both marbles are the same color
Answer:
I figured out that the probability that both marbles are red is 20/56 and the probability that both are green is 6/56. Then I added them together to get 26/56.
Hope this answer is right !
Suppose that 0.10 of population is colourblind if 25of sample drown from this population find probability that at least 7 have coroblind
Answer:
[tex]P(X \geq 8)=22*10^{-4}[/tex]
Step-by-step explanation:
From The Question we are told that
Prob that population is colourblind [tex]P(C)=0.10[/tex]
Sample size [tex]N=25[/tex]
Generally the equation for Number of color blinds is mathematically given by
[tex]P(X \geq 8)=\sum^{25}_{x=8}(25..x)(0.10)^x(0.90)^25-x[/tex]
[tex]P(X \geq 8)=22*10^{-4}[/tex]
how do you ifnd circumfranceof citlve
Answer:
The formula of the circumference of the circle
[tex]C =\pi D[/tex]
Step-by-step explanation:
To find the circumference of the circle follow the given steps.
1. Take a thread.
2. Fix one end of the thread at one point of the circle.
3. Move the thread along the length of the circle.
4. You reach the same fix end.
5. Measure the length of the thread.
6. It is the circumference of the circle.
The formula of the circumference of the circle
[tex]C =\pi D[/tex]
where D is the diameter of the circle.
The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.
Answer:
10 and 42
Step-by-step explanation:
The difficulty with word problems is translating them into math.
Let's do that
---------------------
The sum of a number and two times a smaller number is 62.
let's call the bigger number b, and the smaller number s
b + 2s = 62
Three times the bigger number exceeds the smaller number by 116
3b = s + 116
-----------------------
Now manipulate one of the equations to isolate the variable
3b = s + 116
Subtract 116 from both sides
3b - 116 = s
substitute for s = 3b - 116 in
b + 2s = 62
b + 2(3b - 116) = 62
Distribute
b + 6b - 232 = 62
combine like terms
7b = 294
Divide both sides by 7
b = 42
to find s plug in b = 42 into
b + 2s = 62
42 + 2s = 62
subtract 42 from both side
2s = 20
divide both sides by 2
s = 10
Footlocker was selling Jordans. They bought the Jordan from Nike for $35. They bought 200 pairs of shoes. They sold the Jordans in their stores to the customers for $180. They sold out on the first day. How much did they make/Collect? What was their total expenses? What was their profit?
Answer:
I don't know what to say to someone who is a high school diploma Android to the other side of the kingdom of the crystal skull and bones
Select the equation that is parallel to: y = -4x + 5
A. y = 4x - 5
B. y = 1/4x - 5
C. y = -1/4x - 5
D. y = -4x - 5
Answer:
D.
[tex]y = - 4x - 5[/tex]
Step-by-step explanation:
This is because the slopes are the same
Share $2400 for three friends so that one friend gets twice as much as the smallest share and the other friend gets three times as much as the smallest share.
Answer:
smallest share = $400
second smallest share = $800
largest share = $1200
Step-by-step explanation:
Let the smallest share = x
amount one friend gets = 2x
second friend gets = 3x
2400 = x + 2x + 3x
2400 = 6x
x = 400
2 x 400 = 800
3 x 400 = 1200
Do anyone know this question?
Answer:
average revenue
gross profit
total revenue
net profit
marginal revenue
Step-by-step explanation:
help please need to get this in today will mark brainlist
Answer:
acute
Step-by-step explanation:
it is acute because it is less than 90 degrees
PLEASE HELP ASAP,
I'LL MARK BRAINLIEST FOR CORRECT ANSWERS!
Describe in words the process of solving for x in triangle ABC.
Answer:
29.11
Step-by-step explanation:
This is clearly cos. So make an equation of cos equals 9 / x. Then use cross product to get x times cos equals 9. Finally divide by cos and use the calcuator to get x equals 29.11.
PLZ ANSWER ASAP NEEDS CORECT ANSWER
Taylor is playing a video game. She earns 15 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level. How many points will Taylor earn when she completes Level 6? Enter your answer in the box.
Answer:
10,935
Step-by-step explanation:
lvl 1: 15 x 3=45
lvl 2: 45 x 3=135
lvl 3: 135 x 3=405
lvl 4: 405 x 3=1215
lvl 5: 1215 x 3=3645
finally lvl 6: 3645 x 3=10,935
Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.
What is a geometric progression?A geometric progression is a series in which every number is the product of the previous number and a common ratio.
The first term of a geometric progression is represented as a.
The common ratio is represented by r.
The n-th term of a geometric progression (aₙ) is determined by the formula,
aₙ = arⁿ⁻¹.
How do we solve the given question?We are given that Taylor is playing a video game. She earns 15 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
We are asked to find the points she will earn when she completes level 6.
The given case can be seen as a geometric progression as the points collected after completion of every level are the product of the previous level's point and a common ratio of 3.
In this geometric progression, a = 15, and r = 3.
We need to find the point collected by Taylor when she completes level 6.
This is the 6th term of our geometric progression. We determine the 6th term using the formula of the n-th term of a geometric progression:
aₙ = arⁿ⁻¹.
∴ a₆ = (15)*(3)⁶⁻¹ = 15*3⁵ = 15*243 = 3645.
∴ Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.
Learn more about a geometric progression at
https://brainly.com/question/12006112
#SPJ2
A club raised 175% of it goal for a charity. The club raised $763.
use proportion please
Answer: The clubs goal is to raise $436.
Step-by-step explanation:
175% * x = 763 where x is the goal
1.75 *x = 763
1.75x = 763
x= 436
find the slope of the line perpendicular to given line
Answer:
perpendicular slope = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2
How many fifths are there in 6
Answer: 30
Step-by-step explanation:
there are 5 fifths in 1 hinting the name fifths
So that means there are 30 fifths in 6
How many solutions exist for the given equation?
3(x – 2) = 22 – x
Answer:
One solution
Step-by-step explanation:
3(x – 2) = 22 – x
Distribute
3x - 6 = 22 -x
Add x to each side
3x-6+x = 22-x+x
4x -6 =22
Add 6 to each side
4x-6+6 = 22+6
4x = 28
Divide by 4
4x/4 = 28/4
x = 7
Answer:
One solution
Step-by-step explanation:
Solve for x to determine how many solutions it has
3(x - 22) = 22 - x
Distribute the 3
3x - 66 = 22 - x
Add x to both sides
4x - 66 = 22
Add 66 to both sides
4x = 88
Divide both sides by 4
x = 22
The equation has only one solution, the solution being 22
Find the area of the square ABCD.
Answer:
A =196 m^2
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
A = 14^2
A =196 m^2
Brainliest, 35 points
Answer:
13 1/2
Step-by-step explanation:
9 ÷ 2/3
Copy dot flip
9 * 3/2
27/2
Change from an improper fraction to a mixed number
2 goes into 27 13 times with 1 left over
13 1/2
anyone can tell that how to find the angles like <abc <bca like this
here is the photo
Answer:
Here
Step-by-step explanation:
So, AKH would be also 65 as well as AKX
Find a parabola with equation y=ax^2+bx+c that has a slope 10 at x=1, slope -26 at x=-1, and passes through the point (2,29)
9514 1404 393
Answer:
y = 9x^2 -8x +9
Step-by-step explanation:
The given equation has derivative ...
y' = 2ax +b
The requirements on slope give rise to two equations:
2a(1) +b = 10
2a(-1) +b = -26
Adding these equations together gives ...
2b = -16 ⇒ b = -8
Then we have ...
2a -8 = 10
a = (10 +8)/2 = 9
__
The given point lets us find the constant term c.
y = 9x^2 -8x +c
c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9
The equation of the parabola is ...
y = 9x^2 -8x +9
Keeping the place of the digit 6 in the number 6350947 same, the smallest number obtained by
rearranging other digits is
The smallest number is 6034579.
Answer:
6034579 hope this helps!!
explanation:
We should keep 6 where it is, then arrange the rest of the numbers from smallest to the greatest.
