The margin of error of the random selection is 0.20
The given parameters are:
[tex]n = 420[/tex] --- the sample size
[tex]\sigma = 1.6[/tex] --- the standard deviation
[tex]\bar x = 10[/tex] --- the mean
[tex]\alpha = 99\%[/tex] --- the confidence level.
The margin of error (E) is calculated as follows:
[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]
So, we have:
[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]
[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]
The z-value for 99% confidence level is 2.576.
Substitute 2.576 for z
[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]
[tex]E = 2.576 \times \sqrt{0.006095}[/tex]
Take square roots
[tex]E = 2.576 \times 0.0781[/tex]
Multiply
[tex]E = 0.2012[/tex]
Approximate
[tex]E = 0.20[/tex]
Hence, the margin of error is 0.20
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heeeeeelllllppppppp please
Answer: D. <Q ≅ <T
Step-by-step explanation:
This satisfies the ASA Congruency Theorem.
Help ???????????? ?????
Answer:
A
Step-by-step explanation:
Answer:
the answer is BStep-by-step explanation:
Use a model to solve ten multiplied by three sevenths . Leave your answer as an improper fraction.
Group of answer choices
thirteen sevenths
thirty seventieths
thirty sevenths
thirteen seventeenths
Answer:
30/7
Step-by-step explanation:
use desmos ( look it up(
"The square root of two times a number subtract five is equal to ten."
I think this is √2n-5 = 10.
The measure of an angle is 1/4 the measure of its compliment find the measure of each angle
Answer:
angle = 72°
complement = 18°
Step-by-step explanation:
x = (90-x) / 4
cross-multiply to get:
4x = 90 - x
5x = 90
x = 18
To get home, Renae can take one of four buses: #41. #28. #55, or #81. Once she is on a bus, she will randomly select one of the
following equally likely activities: listening to her music player, writing a letter, or reading a book. Her choice of bus and choice of entertainment are independen
events, because the bus that Renae took did not affect which activity she chose. For example, what is the probability that Renae writes a letter if she takes the
#41 bus? What is the probability that Renae writes a letter if she takes the #55 bus?
The probability that Renae writes a letter if she takes the #55 bus is 1/12
The buses are given as:
Buses: #41, #28, #55, #81
There are 4 buses of equal probabilities.
So, the probability that she takes the #55 is:
[tex]P(55)= \frac 14[/tex]
The activities are given as:
Activities: listening to her music player, writing a letter, or reading a book
There are 3 activities of equal probabilities.
So, the probability that she writes a letter is:
[tex]P(Letter)= \frac 13[/tex]
The probability that she does both independent events is:
[tex]Pr = P(55) \times P(Letter)[/tex]
So, we have:
[tex]Pr = \frac 14 \times \frac 13[/tex]
[tex]Pr = \frac 1{12}[/tex]
Hence, the probability is 1/12
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Which congruence criteria is met in the following scenario?
ASA
SAS
HL
AAS
SSS
Answer:
B) SAS
Step-by-step explanation:
Explanation:
SAS = side angle side
The sides with the tickmarks form one pair of congruent sides, and refer to the first "S" of "SAS".
The marked angles are congruent, and they refer to the "A" in "SAS".
Lastly, the overlapping or shared side TJ leads to the second "S" of "SAS".
Notice how the angles are between the sides mentioned. The order is important.
Please help me.......................
Answer:
D) 53.1
Step-by-step explanation:
we can use the soh,cah,toa rule
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
we would use tan because the opposite side of the angle is revealed as 12
the adjacent side of the angle is revealed as 9
there for
tan(theta) = 12/9
theta = arctan(12/9) = 53.1
arctan = tan^-1 = inverse of tan
Lashonda wants to replace a glass window in her restaurant the window is in the shape of a square its side lengths are 6 feet Spose glass cost seven dollars for each square foot how much will the glass cost to replace the window
Answer:
$252
Step-by-step explanation:
6×6 is 36 which you multiply by 7 Hope this helps! :)
Answer:
$252
Step-by-step explanation:
So we know that the glass is a 6x6 square. Meaning 36 pieces of square-foot glasses can fit. Knowing that 36 pieces can fit and each square-foot glass costs $7, we can multiply 36*7 to get $252 to replace the window.
hellp plsssss
I would love it if you did!
Answer:
1050
Step-by-step explanation:
bylon 3 x 68 =204
wool (3x3) x 94 =846
204 + 846 = 1050
he spent 1050 $ on materials
Answer:
$846
Step-by-step explanation:
I think it is sry if u got it wrong
Solving quadratic formulas
8y²-30y+27=2
Can anybody measure this as an SSS, SAS, and ASA angles?
i'm sorry i can't answer because i can't see the marks but i would help if i could
Can someone Please help me on this math problem
Answer:
2
Step-by-step explanation:
each time that x gains 1, y gains 2
2/1=2
100 points and only highly intelligent persons are qualified
What is the equation for finding the value of √x. I need to be able to put x into the equation and result in the square root.
You can solve it by using this steps
Step-by-step explanation:
Isolate the radical on one side of the equation.Square both sides of the equation.Solve the new equation.Check the answer. Some solutions obtained may not work in the original equation.
Answer:
It's probably 12
Step-by-step explanation:
100+100=200
200+100=300 divided by 10 is 12
AB is a line segment.
The midpoint of the line segment AB has coordinates (3, 5)
Point A has coordinates (9, 2)
Work out the coordinates of point B.
Answer:
(-3,8)
Step-by-step explanation:
Lets say two points are (x1,y1) and (x2,y2), the midpoint will be:
((x1+x2)/2,(y1+y2)/2)
Plugging the point A in, we get: the midpoint, (3,5) as (((9+x2)/2),(2+y2)/2)
We can assign x2 and y2 as variables.
(9+x2)/2=3
9+x2=6
x2= -3
(2+y2)/2=5
2+y2=10
y2=8
therefore we get the point (-3,8)
There are better ways and this is the "formulaic (ig) way" to do this
The midpoint of a line segment means a point which lies in the mid of the given line segment. The coordinate of point B is (-3,8).
What are the coordinates of the midpoint of the line segment AB?The midpoint of a line segment means a point which lies in the mid of the given line segment.
Suppose we've two endpoints of a line segment:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
x = (p+m)/2
and
y = (q+n)/2
The coordinate of the midpoint (x,y)=(3,5), while the coordinate of A(p,q)=(9,2). Thus, the coordinate of point A are,
x=(p+m)/2
3=(9+m)/2
6=9+m
m = -3
y = (q+n)/2
5 = (2+n)/2
10=2+n
n=8
Hence, the coordinate of point B is (-3,8).
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Many gas stations give a discount for paying with cash instead of a credit card. William’s local gas station gives a discount of $0.05 per gallon. He fills his car with 20 gallons of gas. How much will William save by paying cash instead of credit card?
The amount that William would save by paying cash instead of credit card is $1
What is a Discount?This refers to the amount deducted from the value of a certain commodity so that there would be a reduced price for the good.
Hence, given that there is a discount of $0.05 per gallon if you pay with cash
William fills 20 gallons of gas
The amount saved by paying cash by William would be 0.05 * 20 = $1
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If ABC is right-angled at B , AB = 3 cm. , BC = 4 cm. , then the length of the median from B is
Write 23% as a fraction
Answer:
23/100
Step-by-step explanation:
Express the shaded portion of each box using fractions. Which box has a higher fraction
of its boxes shaded?
Answer:
A
Step-by-step explanation:
A has 11 boxes shaded in, whereas B only has 10. so A has more
100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What is the total selling price for all of the boxes of chocolate?
Answer:
$140
Step-by-step explanation:
Total Amount of chocolate = 100 Pounds
Amount of chocolate in one box = 1 1/4 Pounds = 5/4 Pounds
Number of boxes = 100/(5/4) = 80 boxes
Cost of one box = $1.75
Total selling price = 80×1.75 = 140
The total selling price for all the boxes of chocolate is $140
Answer: $140
Step-by-step explanation:
Convert
1 1/4 --> 1.25
Solve
100/1.25= 80
80*1.75= $140
Determine whether the given is a polynomial in one variable or not:
Polynomial: 4x^2-3x+7
The polynomial is
[tex] {4x}^{2} - 3x + 7[/tex]
Here all the exponents of x are whole numbers, i.e, 2 and 1 are whole numbers.So, this polynomial is a polynomial in one variable.Its variable is x.So, the given polynomial is a polynomial in one variable.
Hope you could get an idea from here.
Doubt clarification - use comment section.
100 POINTS PEOPLE!!!!!
Answer: Poggers, what if i did 2000 points???
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
Given points A(6,4),B(-2,1)and C(5,0), graph triangle ABC and its reflection image across each line. The x-axis
Answer:
A’ (6, -4)
B’ (-2, -1)
C’ (-5, 0)
Step-by-step explanation:
When reflecting anything across the x, the x values stay the same and the y values become opposites. When reflecting anything across the y, the x values become the opposites and the y values stay the same.
The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Reflection is the flipping of a figure. If a point A(x, y) is reflected across the y axis, the new point is at A'(x, -y). Given the vertices of the triangle at A(6,4), B(-2,1) and C(5,0).
The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).
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. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
green. What part of Osteen's marbles are red?
A. 5/16
B. 9/16
C. 1/2
D. 2/3
Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
Mrs. Hill went to get an oil change, because she has a 20% off coupon. If the oil change is 35.00, how much is the discount?
In problem #1, how much does Mrs. Hill have to pay?
Answer:
28.00
Step-by-step explanation:
can somebody help me
answer the following question
Fabric length: 3 7/8 yd.
Cost per yard: $9.25
Total cost (rounded to the nearest cent): ?
A. $27.75
B. $34.96
C. $36.84
D. $35.84
can someone help me with this
Answer:
equation: (4x +8)° = (2x +3)° +51°exterior angle: 100°Step-by-step explanation:
The relevant relation is "the exterior angle is equal to the sum of the remote interior angles." That means ...
(4x +8)° = (2x +3)° +51° . . . equation to solve for x
2x = 46 . . . . . . . . . . . . . divide by °, subtract 8+2x
x = 23 . . . . . . . . . . . . divide by 2
Then the exterior angle is ...
(4x +8)° = (4(23) +8)° = 100°
_____
Additional comment
Instead of solving for x, we can solve for (2x+3). We can do that by subtracting 5+2x from both sides to get 2x+3 = 49. Then the exterior angle is the sum 49+51 = 100 degrees. (We don't actually care about the value of x.)
What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 inclusive, but not using the digit 0 as the first character of the password? a. 39 b. 900 c. 399 d. 9000 Please select the best answer from the choices provided. A B C D.
We want to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.
We will see that the correct option is D: 9,000
The total number of different combinations is given by the product between the number of options for each selection.
Here we have 4 selections.
First character.Second character.Third character.Fourth character.Now let's find the number of options for each of these:
First character: 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Second character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Third character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Fourth character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}The total number of different combinations is just the product of these 4 numbers:
C = 9*10*10*10 = 9,000
So we can conclude that the correct option is D.
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Answer:
✅ D. 9000just took the test