Answer:
C.I = 0.108 ± 0.022
Step-by-step explanation:
In this case, we are given a symmetric confidence interval, and the sample proportion p', is derived by finding the average of the two values.
Therefore, the sample proportion will be:
[tex] p' = \frac{0.086 + 0.130}{2} [/tex]
[tex] = \frac{0.216}{2} [/tex]
= 0.108
p' = 0.108
To find the margin of error, we have:
M.E = ½ * length of confidence interval
Where length of confidence interval = 0.130 - 0.086
= 0.044
Therefore,
[tex] M.E = \frac{1}{2} * 0.044 = 0.022 [/tex]
Margin of error = 0.022
The confidence interval is expressed as:
p' ± M.E
= 0.108 ± 0.022
Work out the perimeter of the shaded shape.
In a cartons of bulbs, 90% contain no defective bulbs, 5% contain one defective bulb, 3% contain two defective bulbs, and 2% contain three defective bulbs. Find the mean and standard deviation for the number of defective bulbs.
Answer:
Mean, E(x) = 0.17
Variance, V(x) = 0.12
Step-by-step explanation:
90% contains no defective bulbs, P(X=0) = 0.9
5% contain one defective bulbs, P(X=1) = 0.05
3% contain two defective bulbs, P(X=2) = 0.03
2% contain three defective bulbs, P(X=3) = 0.02
The mean for the number of defective bulbs:
[tex]E(X) = \sum XP(X)\\E(X) = (0*0.9) + (1*0.05) + (2*0.03) + (3* 0.02)\\E(X) = 0 + 0.05 + 0.06 + 0.06\\E(X) = 0.17[/tex]
Variance for the defective bulbs:
[tex]V(x) = (\sum x^{2}P(x) ) - \mu^2[/tex]
[tex]\sum x^{2}P(x) = (0^2*0.9) + (1^2*0.05) + (2^2*0.03) + (3^2* 0.02)\\\sum x^{2}P(x) = 0.05 + 0.12 + 0.12\\\sum x^{2}P(x) = 0.29[/tex]
V(x) = 0.29 - 0.17
V(x) = 0.12
This is the question
Answer:
[tex]=\left(9a-8\right)\left(a+1\right)[/tex]
Step-by-step explanation:
[tex]9a^2+a-8\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(9a^2-8a\right)+\left(9a-8\right)\\\mathrm{Factor\:out\:}a\mathrm{\:from\:}9a^2-8a\mathrm{:\quad }a\left(9a-8\right)\\9a^2-8a\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\a^2=aa\\=9aa-8a\\\mathrm{Factor\:out\:common\:term\:}a\\=a\left(9a-8\right)\\=a\left(9a-8\right)+\left(9a-8\right)\\\mathrm{Factor\:out\:common\:term\:}9a-8\\=\left(9a-8\right)\left(a+1\right)[/tex]
So the right answer is (9a-8)(a+1)
Look at the attached picture
Hope it will help you
I need help with question 8 please
Answer:
38
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
24, 29, 34, 36, 40, 49, 90, 94
Median: 36+40/2=76/2=38
Correct answers only please!
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
last question, please help me.
Answer:
[(20×20)×26]/3 = 3467cm³
Step-by-step explanation:
The volum of a Pyramid is equal to:
Ab × h / 3Ab = Area of the base = 20 × 20 = 400 cm²
h = height = 26 cm
so, yoi have: (400 × 26) / 3
4. There are 10 cheerleading squads performing in a competition. The
order of the performances is determined at random. What is the
probability that your squad performs first and your friend's squad performs
second?
Answer:
0.011 or 1/90
Step-by-step explanation:
Since the order of the performances is determined at random the probability of each squad is constant that 1/10
The probability of your squad is 1/10
Given that the first selected was yours (1/10) nine squads are left . Therefore the probability of your friends squad is 1/9.
Hence the probability that your squad performs first and your friend's squad performs second is (1/10 * 1/9) 1/90 or 0.011
Correct answers only please!
To the nearest cent, how much interest will she earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 15,262.76
Step-by-step explanation:
A = P + I where
P (principal) = $ 7,927.00
I (interest) = $ 7,335.76
7. The jib sail of a yacht is
a right triangle that is
attached to the mast
and the prow. The
sail is 15 m high,
and the mast is
4 m from the
prow. How
long is the
forestay?
Answer:
Pytagora's Theorem
Step-by-step explanation
a = 4 m
b = 15 m
c = ?
a^2 + b^2 = c^2
√ a^2 + b^2 = c
a^2 = 16 m
b^2 = 225 m
√ 16 + 225 = c
√ 241 = 15.52 m
c = 15.52 m
I hope I was helpful
To repair a roof that is 16 feet high, Mr. Ayala leans a 20-foot ladder against the side of the
building. To reach the roof, how far away from the building should he place the base of the
ladder?
1
Answer:
12
Step-by-step explanation:
20 is the hypotenuse and 16 is the leg, first solve 20^2 (20x20) to get 400 and 16^2 (16x16) to get 256, then subtract the leg from the hypotenuse to obtain 144 (400 - 256) then obtain the square root of 144 ([tex]\sqrt{144}[/tex]) then 12 will be the awnser.
50:19
All else being equal, if you cut the sample size in half, how does this affect the margin of error when using the sample to make a
statistical inference about the mean of the normally distributed population from which it was drawn?
ME.
The margin of error is multiplied by /05
The margin of error is multiplied by 12
The margin of error is multiplied by 05,
The margin of error is multiplied by 2.
Save and Exit
Answer:
The margin of error is multiplied by 1.41, which is 1 divided by the square root of 5.
Step-by-step explanation:
The margin of error is:
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The margin of error is inverse proportional to the square root of the sample size.
Then
Sample size n:
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
Modified(half the sample size):
[tex]M_{M} = z*\frac{\sigma}{\sqrt{0.5n}}[/tex]
Ratio
[tex]\frac{M_{M}}{M} = \frac{z*\frac{\sigma}{\sqrt{0.5n}}}{z*\frac{\sigma}{\sqrt{n}}} = \frac{\sqrt{n}}{\sqrt{0.5n}} = \frac{\sqrt{n}}{\sqrt{0.5}*\sqrt{n}} = \frac{1}{\sqrt{0.5}} = 1.41[/tex]
The margin of error is multiplied by 1.41, which is 1 divided by the square root of 5.
May 26- 1
May 27- 6
May 28- 39
May 30- 141
May 31- 169
June 1- 251
Please look at the following numbers listed above and determine a relationship:
Are they exponential or linear? Why?
Answer:
neither exponential nor linear
Step-by-step explanation:
A linear relationship will show a common difference between adjacent value. Here, the first differences between the first three values are 5 and 33. They are not the same, so the relation is not linear.
__
An exponential relationship will show first differences that are continuously increasing or decreasing by increasing or decreasing amounts (respectively).
As we showed, the difference between May 28 and May 27 is 33. This is more than the previous difference. However, the difference between May 30 and May 31 is only 28, which is less than a previous difference.
The relation is not exponential.
__
A graph points up the non-linearity of the relation.
Write the number five million four thousand three hundred in standard form.
Answer:
5,004,300
Step-by-step explanation:
what is the volume of a cylinder with a diameter of 10 ft and a height of 6 ft
Answer:
471 ft^3
Step-by-step explanation:
The volume of a cylinder is given by
The radius is d/2 = 10/2 = 5
C = pi r^2 h
= 3.14 * 5^2 * 6
471
need help ASAP!!!! needs explanation as well
Answer:
1. The rocket was launched from a height of 180 feet.
=> Valid because at time = 0 sec, height = 180 feet (as shown in table)
2.The maximum height of the rocket occurred 3 seconds after launch.
=> Valid because at time = 3 sec, height = 324 feet (greatest value in second row of table).
3.The rocket was in the air approximately 6 sec before hitting ground.
=> Not valid because the time in table in about 7 sec (from 0 to 7), but all of the heights are greater than 0 (the rocket has not hit the ground yet).
4. The rocket was above 300 feet for approximately 2 seconds.
=> Valid because from sec 2 to sec 4: the height is greater than 300 (308, 324, and 308)
=> Option 3 is not valid.
Hope this helps!
:)
what will the height of the new cones be?
Answer:
1.5
Step-by-step explanation:
You have the same volume which is 24pi. You divide 24 by 16 and get 1.5
Use the graphing calculator to graph the parent function.
f(x) = log(x)
Add the translated function.
f(x) = log (x-h) + k
Plug in different values of h and k to answer the following questions.
What happens when h is positive?
What happens when h is negative?
What happens when k is positive?
What happens when k is negative?
Answer:
What happens when h is positive?
The asymptote of the graph shifts right by that amount.
What happens when h is negative?
The asymptote of the graph shifts left by that amount.
What happens when k is positive?
The entire graph shifts up by that amount.
What happens when k is negative?
The entire graph shifts down by that amount.
Answer:
answer is verified1.)c
2.)d
3.)a
4.)b
Step-by-step explanation:
There are 300 packets of 1 kg of sugar in a container. A) How many kg are 3 5 of the total amount? B) How much money will be raised from the sale of the 3 5 of the total amount, if the price of each package is 2'5 euros?
Answer:
A) 180 packets
B) €450
Step-by-step explanation:
A) There are 300 packets of 1 kg of sugar in a container.
3/5 of the total amount is:
3 / 5 * 300 = 180 packets
B) Each packet goes for €2.50.
3/5 of the total amount is 180 packets, therefore, 180 packets will go for:
2.5 * 180 = €450
sum is the answer to what type of problem
How many tablespoons would you need if a recipe called for 1 ½ cups of flour?
Answer:
You can add 4 tablespoons
Step-by-step explanation:
If you add 4 tablespoons the 1 1/2 cups of flour will blend in with the tablespoons making a circle like figure.
Answer:
24
Step-by-step explanation:
1 cup is 16 tablespoons
16+8=24
Here are the 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest:
0.329, 0.330, 0.331, 0.331, 0.333,0.333,0.333, 0.334, 0.334, 0.334, 0.336,
0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,
0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366
A stemplot is one way to display these batting averages, as shown below. In
this type of display, the entry 0.36|6 denotes one occurrence of the batting
average______.
0.32|9
0.33|01133344467888
0.34|1001122244569
0.35|168
0.36|6
A. 0.366
B. 0.3606
C. 0.360
D. 0.336
Answer:
D
Step-by-step explanation:
0.36|6=0.366
The solution is : The given statement is False.
What is histogram?A histogram is an approximate representation of the distribution of numerical data. A histogram is a graph that shows the frequency of numerical data using rectangles. The height of a rectangle (the vertical axis) represents the distribution frequency of a variable (the amount, or how often that variable appears).
here, we have,
We are given a the 30 data points which represent the best lifetime baseball batting averages of all time, arranged in order from lowest to highest.
As we know that we could obtain a frequency table from the following set of data points and histogram is a good way to represent the frequency data. ( i.e. a histogram is only used to plot the frequency of score occurrences in a continuous data set that has been divided into classes, called bins ).
Hence, the given statement,
A frequency table for these data can best be graphically displayed as a bar graph. That is, it should not be displayed as a histogram is a FALSE STATEMENT.
To learn more on histogram click:
brainly.com/question/17145899
#SPJ7
y−3=2(x+1)
What is the solution (-1,_)
Answer:
(-1,3)
Step-by-step explanation:
hello :
y−3=2(x+1)
if x= -1 y-3 = 2(-1+1)
y-3=0 so : y=3
(-1,3)
PLZZZ HELP :( ASAPP
Suppose you observe the color of socks worn by students in your class: 12 have white, four have black, three have blue, and one has red. Find P(black or red) as a fraction in simplest form.
A. 3/20 B. 1/4 C. 1/3 D. 1/5
Answer:
i think its 4 simplified from 4/1
Step-by-step explanation:
Answer:
B. 1/4
Step-by-step explanation:
There are a total of 20 students
4 have black and 1 has red. In total 5
5/20
If you simplify by dividing both numbers by 5 it becomes
1/4
6+0 plz help me so hard
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
MATH
If 66 = 2, 99 = 2, 888 = 6, 00 = 2, 7777 = 0, 667= 2, 276 = 1, 833 = 2, then what does 2876 equal?
Answer:
the answer is 3
Step-by-step explanation:
in the number 66 there are "2" circles in them and so the answer we get 2
in the number 99 there are "2" circles and so the answer there is 2
in the number 888 there are "6" circles so the answer is 6
in the number 00 there are "2" circles that's the answer
in the number 7777 there are no circles so the answer is 0
we keep on going like that......
in the number 2876 there are 3 circles 2 in the number 8 and 1 in the number 6
hope this helped :D
Answer:
3
Step-by-step explanation:
Can someone help me on this question please
Answer:
option A is the correct answer
43 milk jugs are in a fridge with 11 that are spoiled. 5 jugs are randomly selected. what are the odds that the first two are good and the last three are spoiled?
Answer:
0.85% probability that the first two are good and the last three are spoiled
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the first two jugs is not important, as is not the order in which the last three are selected. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
2 spoiled, from a set of 43-11 = 32.
3 spoiled, from a set of 11.
So
[tex]D = C_{32,2}*C_{11,3} = \frac{32!}{2!(32-2)!}*\frac{11!}{3!(11-3)!} = 982080[/tex]
Total outcomes:
5 jugs from a set of 43.
[tex]T = C_{43,5} = \frac{43!}{5!(43-5)!} = 115511760[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{982080}{115511760} = 0.0085[/tex]
0.85% probability that the first two are good and the last three are spoiled
Use a sum identity to find the exact value of sin 285. Use your keyboard and the keypad to enter your answer. Then click Done
sin285=
Answer:
the sin of 285 is 0.77387
Step-by-step explanation:
Answer:
negtive square root of 2 minus square root of 6, over 4
Step-by-step explanation:
plato
which equation is the slop formula
Answer:
y=mx+b
Step-by-step explanation:
m is the slope
b is the y-intercept
Don't believe me? Ask Google!
mitchell drew a card from a standard deck of playing cards. what is the probability that he drew a queen, geven that the card was red
Answer:
2/52
Step-by-step explanation:
because there are only two red Queens and there is 52 cards in a deck
Answer:
2/52
Step-by-step explanation:
In a deck of cards, there are 2 red queens and in total 52 cards.
*Please give Brainliest to the person on top because they answered first! :)