Answer:
A sample of 796 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this question, we have that:
[tex]\pi = 0.53[/tex]
91% confidence level
So [tex]\alpha = 0.09[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.09}{2} = 0.955[/tex], so [tex]Z = 1.695[/tex].
How large should a sample be if the margin of error is .03 for a 91% confidence interval
We need a sample of n, which is found when [tex]M = 0.03[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.695\sqrt{\frac{0.53*0.47}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.695\sqrt{0.53*0.47}[/tex]
[tex]\sqrt{n} = \frac{1.695\sqrt{0.53*0.47}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.695\sqrt{0.53*0.47}}{0.03})^{2}[/tex]
[tex]n = 795.2[/tex]
Rounding up
A sample of 796 is needed.
The scatter plot shows a correlation between the number of participants and the year of
the snowboarding competition.
The line of regression models that correlation.
Enter a number to complete each statement.
Answers:
In 2003, there were 32 ...
The model predicts ... 40 ...
... 8 below what the model predicted
In 2003, there were 32 ...
-> We find the x-axis of 2003 and look up until we hit the line, then we find the y-coordinate for that point
-> 32
The model predicts ... 40 ...
-> The green 8 with an arrow shows the prediction
-> 40 - 8 = 32
-> 40
... 8 below what the model predicted
-> The green 8 shows the difference in the prediction and the actual participation
-> 8
3) y = 4x + 24
y = x + 9
Answer:
x= -5
y= 4
Step-by-step explanation:
Substitute the equations for y
x+9=4x+24
Subtract x from both sides of the equation.
9=3x+24
Now subtract 24 from both sides of the equation.
-15=3x
x= -5
y= -5=9=4
y = -4x - 24
y + 2x = 8
How would I solve by substitution step by step?
Answer:
x=-16
y=40
Step-by-step explanation:
y=-4x-24
y+2x=8
its the same y. Use substitution
(-4x-24)+2x=8
-2x-24=8
-2x=32
x=-16
We found x!
substitute x in either equation
y+2x=8
y+2(-16)=8
y-32=8
y=40
Answer: (-16, 40)
Step-by-step explanation: Using substitution, you can but the first y=-4x-24 into the second equation y+2x=8. So, you take what y is (which is -4x-24) and substitute it for the second y in the equation y+2x=8.
Your equation should now look like this (-4x-24) + 2x = 8.
You can then solve -4x -24 +2x =8. Combine like-terms (-4x+2x) to get -2x-24=8. Then use inverse operations and add 24 from both sides (so from the -2x-24 side and 8 side). This will then give you -2x=32. divide both sides from -2x to get:
x = -16
Then, plug in x= -16 into the first equation (y= -4 (-16) - 24). Then use PEMDAS and multiply -4 and -16 to get +64. Subtract 24 to get:
y = 40
what is thecommon factor of 12and24
Answer:
12
Step-by-step explanation:
12 can go in both 12 and 24 without a remainder
Which of the following solutions solves the system?
Factor the polynomial 8x² − 24x − 224 completely
Answer:
8(x+4)x(x-7)
Step-by-step explanation:
hope this helps!
For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicular, or neither.
10x - 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.
Answer/Step-by-step explanation:
Given,
10x - 3y = 3
3x + 10y = 30
Rewrite both equation in slope-intercept form, y = mx + b.
Where, m = slope of the line.
Thus,
✔️10x - 3y = 3
-3y = -10x + 3
y = 10/3x - 1
Slope of this line would be 10/3
✔️3x + 10y = 30
10y = -3x + 30
y = -3/10x + 3
The slope of this line is -³/10.
✔️The two lines are pendivukar to each other because the slope of one is the negative reciprocal of the other.
there are 12 students in a class who are preforming at the school concert . this represents 40% of the class how many students are in the class?
Answer:
There are 30 students in class
Step-by-step explanation:
Let x be the total number of students
Then according to the given statement,
40% of x is 12
this can be expressed mathematically as:
[tex]12 = 40\%\ of\ x\\12 = 0.40 * x[/tex]
we can simply use this equation to find the total number of students
[tex]12 = 0.40x[/tex]
Dividing both sides by 0.40
[tex]\frac{0.40x}{0.40} = \frac{12}{0.40}\\x = 30[/tex]
Hence,
There are 30 students in class
HELP ME ON THIS QUESTION ASAP!!!!!
HELPPPPPPPPPPP!!!!!!!!! Oh
Answer:
We conclude that:
[tex]3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}[/tex]
Hence, option B is correct.
Step-by-step explanation:
Given the expression
[tex]3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}[/tex]
solving
[tex]3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}[/tex]
Scalar Multiplication: Multiply each of the matrix elements by a scalar
[tex]=\begin{pmatrix}3\cdot \:2\left(-2\right)&3\cdot \:2\cdot \:3&3\cdot \:2\cdot \:0\\ 3\cdot \:2\left(-4\right)&3\cdot \:2\cdot \:2&3\cdot \:2\cdot \:6\\ 3\cdot \:2\cdot \:6&3\cdot \:2\left(-5\right)&3\cdot \:2\cdot \:6\end{pmatrix}[/tex]
Simplify each element
[tex]=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}[/tex]
Therefore, we conclude that:
[tex]3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}[/tex]
Hence, option B is correct.
If 9 : x = x : 4, then x = _____
Step-by-step explanation:
Explanation:
9
:
x
as
x
:
4
∴
9
x
=
x
4
x
2
=
36
x
=
±
√
36
x
=
±
6
Step-by-step explanation:
[tex]\tt{ 9:x=x:4 }[/tex] ⠀
[tex]\tt{\dfrac{9}{x}=\dfrac{x}{4} }[/tex] ⠀
[tex]\tt{x×x=9×4 }[/tex] ⠀
[tex]\tt{ x^2=36 }[/tex] ⠀
[tex]\tt{ x=\sqrt{36}}[/tex] ⠀
[tex]\tt{ x=6 ~and~x=-6 }[/tex] ⠀
if you play paintball for $8 for 30 minutes, how much will it cost you to play for 1 hour and 15 minutes?
please hurry! will give brainliest
Answer:
20
Step-by-step explanation:
30+30 is a hour and half of 30 is 15 so do this 8+8 and the add half of 8 and it is 4 so the full thing is 8+8+4+20
Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =
Answer: 3x=-24
9x is 3(3x)= 3(-24)
9x=-72
X=-8
Step-by-step explanation:
62÷4=? R ? What is the remainder for 62÷4=? R ? All im asking for is just the remainder.
Answer:
The remainder is 2.
Step-by-step explanation:
Answer:
= 15 R 2
= 15 2/4
= 15 1/2
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Solve the proportion: 6/x = 21/28
The answer is 8.
What is proportion?
Proportion is defined as the difference between two ratios or fractions that are equal to each other.
The given proportion is
6/x = 21/28
x = (6*28)/21
x=(6*4)/3
x=8
Hence the solution for the given proportion is 8.
To learn more about proportion, use the link given below:
https://brainly.com/question/3254974
#SPJ2
Mauri’s little Sister weighed exactly 7 pounds when she was born. How many ounces did she weigh?
Explain how you got your answer, talk about the steps you took to get your answer.
Searched it up on goggle
112
Answer:
112 ounces
Step-by-step explanation:
Converting pounds to ounces is simple. Since there are exactly 16 ounces in one pound, just multiply the number of pounds by 16.
16
x. 7
------------
112
Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the future value of cars using depreciation functions. One such function is applied to the car whose declining value is shown at the right.
Answer:
um theres no picture or anything but when a value decreases in an equation its exponential decay...
Danny charges $18 for 2 hours of swimming lessons, Martin charges $80 for 5 hours of swimming lessons.
Who offers a better deal?
(select) offers the better deal.
(select)
Martin
Danny
Answer:
danny's offer is cheaper
Step-by-step explanation:
danny = $9 per hour
martin = $16 per hour
Please help me please I beg u
Answer:
2 times larger
Step-by-step explanation:
Answer:
two.
Step-by-step explanation:
The circumference of a wheel is directly scaled to its radius. We're told that Kevin's tricycle wheel is eight inches in radius, and Monica's bicycle wheel is 16 inches in radius. Because 16 is equal to 2×8, we know that Monica's wheel is twice as big as Kevin's.
Simplify (-32) ÷ (-4)
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{Guide\downarrow}[/tex]
[tex]\bold{Negative}[/tex] & [tex]\bold{Negative}[/tex] =[tex]\bold{Positive}[/tex]
[tex]\bold{Positive}[/tex] & [tex]\bold{Negative}[/tex] = [tex]\bold{Negative}[/tex]
[tex]\bold{Positive}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Positive}[/tex]
[tex]\bold{Negative}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Negative}[/tex]
[tex]\bold{(-32)\div(-4)}[/tex]
[tex]\bold{=32\div4}[/tex]
[tex]\bold{=8}[/tex]
[tex]\boxed{\boxed{\bold{Answer: 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Answer:
4
Step-by-step explanation:
Since both of these numbers are negative, it means that the answer will be negative, since 2 negatives make a positive, since now you know that, you can easily do 32/8 which is 4.
-32/ -8 = 4
Check....
-8 * 4 = -32
-32 / 4 = -8
When there is a negative number and a positive number being multiplied or divided by, it will always result in a negative number.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Please help it going to close in 15 min (7 and 8)
HELP WITH NUMBER 4 PLEASE!1 PLEASE SHOW ME HOW!
Answer:
( 2x+5) (5x-2)
Step-by-step explanation:
Is 4.259462364423... a rational or irrational number?
Answer:
Yes it its!!! It goes on for a long time!! Keep that in mind when you are doing problems like this!
:)
Step-by-step explanation:
Find d 1.75b + 100
Answer:
b = -57.143
Step-by-step explanation:
I will assume you meant find b, not d.
1.75b = -100
b = -100/1.75
b = -57.143
NEED HELP ON ALL OF THEM
Witch exspression is equivalent to (7^-8) (7^3)
Answer:
uhh not sure.
Step-by-step explanation:
maybe 0.000000173 * 343 wich is their values expanded
William tracks the number of sweaters he sells and the profit he makes from them.
400
350
300
250
Profit($)
200
150
100
50
Sweaters Sold
If the pattern continues, how many sweaters must William sell to profit $350?
Answer:
650 Sweaters hope this helps
If a = 12 and b = 6, what is the length of x?
Answer:
sqrt89
Step-by-step explanation
Drag the tiles to the correct boxes to complete the pairs.
Match each compound inequality to the graph of its solutions on the number line.
Answer:
The answers for the exercise shown in the figure attached above, are shown
Step-by-step explanation:
-The Compound inequality for the solution 1 is:
-2(x+1)≥-4 or 4x-7≥5
x≥1
x≥3
-The Compound inequality for the solution 2 is:
-6≤2x-8≤-2
1≤x≤3
-The Compound inequality for the solution 3 is:
3x-4≥5 or -5x+17≤12
x≥3
x<1
A pack of 10 pencils costs $4.00. Find the unit rate of 1 pencil.
$.30
$.40
$.60
$.90
Answer:
.40
Step-by-step explanation: