The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.
How to calculate the confidence interval?The margin of error of the 99% confidence interval will be:
= 1.645 × [✓0.36(1 - 0.36)/1006
= 0.024
The margin of error for a 99% confidence interval will be calculated thus:
= 2.576 × [✓0.36(1 - 0.36)/1006
= 0.03898
This implies that margin error increases when there's a higher confidence interval.
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Which of the following is a rational number?
Answer:
B
Step-by-step explanation:
The square root of 100 is 10, and 10 is a rational number.
Someone please help!!!!
Answer:
=
Step-by-step explanation:
quadratic values always set to 0 due to the x-intercept which you find from the equation
How do you quarter pi
Answer:
I think its this answer I believe 0.7853982 if this is correct can u mark me brainliest
Find the equation of the line that passes through (-1,-3) and is perpendicular to
2y=x−3
Leave your answer in the form y=mx+c
Answer:
y = -2x - 5
Step-by-step explanation:
2y = x - 3
y = 1/2x - 3/2
gradient = 1/2
perpendicular gradient = negative reciprocal = -2
y = -2x + c
(-3) = -2(-1) + c
-3 = 2 + c
-5 = c
Answer:
y = -x/2 - 7/2
Step-by-step explanation:
Equation of the line (current) in y = mx + c
2y = x - 3y = x/2 - 3/2The slope of a perpendicular line has to be -ve to the current line.
⇒ m' = -1/2
To find the y-intercept, take the x-coordinate to be 0 and substitute in the equation :
y - y₁ = m (x - x₁)
y + 3 = -1/2 (0 + 1) [Also using the point (-1, -3) to make sure line crosses it]
y + 3 = -1/2
y = -7/2
Therefore, the new equation is :
y = -x/2 - 7/2Substititue 5 for x. Is the solution true?
3x + 4 - x = 4x - 6
Answer:
It's a true solution.
Step-by-step explanation:
[tex]3(5) + 4 - 5 = 4(5) - 6[/tex]
[tex]15 + 4 - 5 = 20 - 6[/tex]
[tex]19 - 5 = 14[/tex]
[tex]14 = 14[/tex]
Jalece and Kaylyn are making brownies and muffins for a bake sale. They make 40 more muffins than brownies. They made a total of 126 sweet items for the sale. How many of each type of baked good did they make?
I really don't know I hope you can figure it out
Answer: 43 brownies and 83 muffins.
Step-by-step explanation: There are 126 sweet items in total. Jalece and Kaylyn make 40 more muffins than brownies, which means that there are more muffins than brownies. Let's try 83 muffins and 43 brownies to see if it suits what we need. With 83 muffins and 43 brownies, there are 40 more muffins than brownies, so that's correct. 83 and 43 also add up to 126, which is the total that we need.
Therefore, there are 43 brownies and 83 muffins.
Let me know if this is right! :)
I need this answered please
Answer:
54
Step-by-step explanation:
1, 3, 5, and 7, all have the same angle size: 126 so we can use this to find 6 and 8 :)
180 - 126 =54
6 and 8 would both equal 54 :)
Have a great day!!
Please rate and mark brainliest!!
Find the binomials that created the generic rectangle below.
How do you simplify the fractions 4/5 + 3/4 in lowest terms
Answer:
31/20
Step-by-step explanation:
First we find the greatest common denominator, for 5 and 4, that is 20.
[tex]\frac{4}{5} *\frac{4}{4} +\frac{3}{4}*\frac{5}{5} = \frac{16}{20} +\frac{15}{20} = \frac{31}{20}[/tex]
Since 31/20 isn't able to be simplified because 31 is a prime number, this is your final answer.
Rachel's aunt gave her $85 to spend on
school spirit items. Rachel bought 4 pens
for $0.85 each, a hoodie for $45.50, and
5 folders for $2.79 each. How much
money did she have left?
A $22.15
B $19.36
C $62.85
D $35.86
The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is $22.15.
How much does Rachel have left?In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.
Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85
Change = $85 - $62.85 = $22.15
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Question 13 options:
What is the slope of the line of the graph?
Answer:
Step-by-step explanation:
To find the slope, pick any two points fromthe line.
(2,2) & (0,-4)
x₁ = 2 & y₁ = 2
x₂ = 0 & y₂ = - 4
[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]
Slope = 3
At y-intercept x = 0.
From the graph, y-intercept = -4
Equation of the line: y = mx + b
y = 3x - 4
The sum of the areas of two circles is 80n square meters. Find the length of a radius of each circle if
one of them is twice as long as the other.
27
GO
What is the radius of the larger circle?
Answer:
8 meters.
Step-by-step explanation:
Let the 2 radii be x and 2x, then
π x^2 + π (2x)^2 = 80π
π x^2 + π 4x^2= 80π
x^2 + 4x^2= 80
5x^2 = 80
x^2 = 16
x = 4.
So the radius of the larger circle = 2*4 = 8 m.
I need help with this please
Step-by-step explanation:
The answer is class 1!!!!!
Help PLEASE find AD and BC
Step-by-step explanation:
so AD=DC and DC=12 so AD=12
the lines AB=BC so 3x+1=2x+6 simplify and get x=5
plug in and get BC=16
It took Azul 1.75 hours to bike The Blue Mountain Trail
Azul averaged 12.5 miles per hour. What is the best
estimate for the length of the trail?
AnsweA jar contains 15 red marbles, 30 blue marbles, 10 green marbles, and 35 orange marbles. Find the probablilty of picking a green marble.r:
Step-by-step explanation:
cany anybody give me the awnser to this?
Have a look at the attached image.
A circle has a diameter of length 11 cm. What is the length of the radius?
5.5
Step-by-step explanation:
radius = diameter÷2
diameter = 11
so Length of Radius will be 11÷2
which will be 5.5
FAST
Identify the correct weight to the nearest pound.
Answer:
Due to the location of the marker, it is closest to:
C.) 10/16 = 5/8 lb.
Each pound is divided into 16ths since 10 sixths are represented by the marker then the answer would be 10/16.
10 / 16 = 5 / 8
10 divided by 2 = 5
----------------------------
16 divided by 2 = 8
Therefore 10 / 16 = 5 / 8.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer:
[tex]\frac{10}{16} =\frac{5}{8}[/tex]
Step-by-step explanation:
My answer is due to, it doesn't use the markers it goes by smaller numeral making me believe it uses the 16th instead of the 8th, also you can see it hits the tick mark for the bigger saying that is settled on making me think that is the answer.
To break it down why the others are not correct the [tex]\frac{4}{8}[/tex] is the mesurent saying it is half which it clearly is not half way. The other is [tex]\frac{7}{8}[/tex] butyou can see the marker is not nearly close enough for it to be almost to a pound. and the last option 1[tex]\frac{5}{8}[/tex] doesn't make sense it seems it would have to be more then a pound.
here are 16 sweets in a bowl.
4 of the sweets are blackcurrant.
5 of the sweets are lemon.
7 of the sweets are orange.
unna, Ravi and Sam cach take at random one sweet from the bowl.
Jork out the probability that the 5 lemon sweets are still in the bowl.
Answer:
61/112.
Step-by-step explanation:
For 5 lemon sweets to be in the bowl the 3 taken must be from the 4 blackcurrent and/or 7 orange sweets.
First work out the probability of having a lemon in one of the 3 picks:
Prob (Taking 3 lemons) = 5/16 * 4/15* 3/14 = 60/3360 = 1/56.
Prob (Taking 2 lemons and 1 blackcurrent) = 5/16*4/15*4/14 = 1/42
There are 3 ways of doing this so Probab) = 3/42 = 1/14.
Prob (Taking 1 lemon and 2 blackcurrent) = 5/16*4/15*3/14 = 1/56.
There are 3 ways of doing this so Prob = 3/56.
Prob (Taking 2 lemons and orange) = 5/16*4/15*7/14 = 140/3360 = 1/24.
There are 3 ways of doing this so Prob) = 3/24 = 1/8.
Prob (Taking 1 lemon and 2 orange) = 5/16*7/15*6/14 = 1/16
There are 3 ways of doing this so Prob = 3/16.
Therefore the probability of have 1 or more lemons in one of the 3 picks
= 1/56 + 1/14 + 3/56 + 1/8 + 3/16
= 51/112
and the probability of NOT having a lemon in one of the 3 picks
= 1 - 51/112
= 61/112.
The half-life of a radioactive kind of barium is 3 minutes. If you start with 9,152 grams of it, how much will be left after 12 minutes?
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &9152\\ t=\textit{elapsed time}\dotfill &12\\ h=\textit{half-life}\dotfill &3 \end{cases} \\\\\\ A=9152\left( \frac{1}{2} \right)^{\frac{12}{3}}\implies A=9152\left( \frac{1}{2} \right)^4\implies A=572[/tex]
6. Higher Order Thinking Vincent forgot the last two digits of his bicycle lock.
He remembers that each digit is 5 greater. Based on the table below, how
many possible pairs of digits are there? Make another table to show
all possible combinations if he remembers that the first digit is 6, 8, or 9.
Help pleasee!
The number of possible combinations is an illustration of principle of counting
There are 15 possible pairs of possible combinations
How to determine the number of possible combinations?
From the question, we understand that the first digit is 6, 8 or 9.
This means that the new table would not have entries that begin with 5 or 7.
The table is then represented as:
6 8 9
5 65 85 95
6 66 86 96
7 67 87 97
8 68 88 98
9 69 89 99
Count the number of entries
Entries = 15
Hence, there are 15 possible pairs of possible combinations
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how to work out 4.2 × 0.03. Show the working not the answer straight! Show how you got the answer.
Answer:
1.26
Step-by-step explanation:
To solve 4.2*0.03, you move the decimal point to the right however many times to both numbers until they are whole numbers.
Doing this, we have 420*3, which took 3 decimal point shifts, so now we do 420*3 to get 1260, and then go 3 decimal places to the left to get the actual answer.
Thus, 4.2*0.03=1.260=1.26
Please Help!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
cosZ = [tex]\frac{12}{37}[/tex]
Step-by-step explanation:
cosZ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{37}[/tex]
Simplify 4 - 2m + 4m +1
Answer: 2m+5
Step-by-step explanation:
4−2m+4m+1
Combine −2m and 4m to get 2m.
4+2m+1
Add 4 and 1 to get 5.
5+2m
Answer: 2m + 5
Step-by-step explanation:
Just do:
4 - 2m = 2m4m + 1 = 5So, 2m + 5
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
So:
[tex]9^2+13^2=c^2[/tex]
[tex]250 = c^2[/tex]
[tex]\sqrt{250} = \sqrt{c^2}[/tex]
[tex]c = 15.8113883[/tex]
OR (rounded)
[tex]c = 15.8[/tex]
(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:
a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.
Step-by-step explanation:
Use the graph to dtermine the answer for each part of question
a)
H(0) = 5b)
H(t) = 0 has no solution as its minimum value is 5 feetc)
The domain all positive rational numbers, since time is zero or positive.d)
The range changes between 5 and 55 feet, according to the graph.Answer:
a. 5 ft
b. No - see below
c. [0, ∞)
d. [5, 55]
Step-by-step explanation:
From inspection of the graph:
x-axis: t = time (in seconds)y-axis: H(t) = height (in feet)Part a
When H(0), t = 0 ⇒ y-intercept.
Therefore, from inspection of the graph, H(0) = 5 ft
Part b
H(t) = 0 does not have a solution as the curve never touches the y-axis (when y = 0).
Part c
Domain: set of all possible input values (x-values)
The domain is time (t) (x-axis), therefore the domain is [0, ∞)
Part d
Range: set of all possible output values (y-values)
From inspection of the graph, the lowest value of H(t) is 5 and the highest value of H(t) is 55. Therefore, the range is [5, 55]
The probability of flipping 3 heads on 2 fair
coins would be considered:
A. Likely
B. Certain
C. Unlikely
D.impossible
Answer:
impossible? you have only 2 coins
Answer:
I'm going to assume you mean 3 fair coins. The probably would be 1/8, so unlikely.
Step-by-step explanation:
The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?
The cost of the hardwood flooring for the dining room is $
.
Answer:
$3520Step-by-step explanation:
Find the dimensions of dining roomWidth
4*1/4 in = 1 in 1 in ⇒ 1*16 ft = 16 ft, according to scale factorLength
5*1/4 in = 1.25 in1.25 in ⇒ 1.25*16 ft = 20 ftFind the area of dining room A = lw = 16*20 = 320 ft²Find the cost of flooring for the dining room320*11 = 3520Answer:
$3,520
Step-by-step explanation:
If each square has a side length of 1/4 in then the dimensions of the Dining Room in the blueprint are:
Dining Room = (4 × 1/4) x (5 × 1/4) = 1 × 1.25 inThe scale given is 1 in : 16 ft, therefore dimensions of room scaled up:
Dining Room = (1 × 16) x (1.25 × 16) in = 16 × 20 ftTherefore, the area of the Dining Room = 16 × 20 = 320 ft²
Given the hardwood floor costs $11 per ft², to find the total cost of the floor for the dining room:
Total cost = area × cost per ft²
= 320 × $11
= $3,520
Write an equation in slope intercept form for the like with
y-intercept -4 and slope 6
Answer: y=6x-4
Step-by-step explanation: see attached.
Think carefully about the angle relationship the following represents.
What is the value of ∠JML?
Answer:
<JML=126 degrees, x=42
Step-by-step explanation:
well, something important to note here is that a straight line is allways equal to 180, and you have part of the 180 sitting there on the line being 54 degrees, so all you have to do is do 180-54=126 and that is the measure of <JML, to find x, you just reverse the steps you see, right now 3x=3*x so you want to reverse that and divide 126/3=42.
Angles are supplementary hence their sum is 180°
3x+54=1803x=180-54=126x=126/3x=42So
<JML=3x=126°