Answer:
The minimum sample size required is 1068.
Step-by-step explanation:
The complete question is:
A researcher wishes to estimate, with 95% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 3% of the population proportion.
No preliminary estimate is available. Find the minimum sample size needed.
Solution:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information provided is:
[tex]MOE=0.03\\\text{Confidence level}=95\%[/tex]
Assume that the sample proportion is 50%.
The critical value of z is, 1.96.
Compute the minimum sample size required as follows:
[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]
[tex]=[\frac{1.96\times\sqrt{0.50(1-0.50)}}{0.03}]^{2}\\\\=1067.1111\\\\\approx 1068[/tex]
Thus, the minimum sample size required is 1068.
Can anyone tell me if I have this correct?
Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
Which of the following statements MUST be true?
An odd number of factors were negative.
None of the factors were negative.
An even number of factors were negative.
All of the factors were negative.
Answer:
natatae ako shuta hehhe
de joke lang
Answer: C: An odd number of factors were negative.
Step-by-step explanation:
a positive number being the answer an odd number number of factors would be needed for it to be
PLEASE HELP I DONT *look at pic*
Choose the appropriate value for x for the following similar triangles given below.
Answer: A. (It’s 25)
Step-by-step explanation:
Josie walks 3/4 mile in 1/5 hour. What is Josie's speed in miles per hour?
hduuw8sisihaisiswkjznaswiqqlnaa
Answer:
whats ur question?
Step-by-step explanation:
Answer:
I don't understand
Step-by-step explanation:
Sorry, I cannot help
If f(x)=x2-1, what is f(4)?
Answer: 15
Step-by-step explanation:
Substitute 4 in x.
A line includes the points (4, – 6) and (8, – 4). What is its equation in point-slope form
Answer:
1/2x-8
Step-by-step explanation:
Rise over run for slope
Plug in values for y intercept
Answer:
the answer is [tex]m=\frac{1}{2}[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
Can someone just check this to make sure it is correct and please be honest because my grade depends on this
Answer:
Your answers are right
Rearrange the formula to make the letter in the square bracket the subject
y= 3x - 5 (x)
Answer:
y= 3x - 5
y+5 = 3x
x = (y+5)/3
Answer:
x = [tex]\frac{y+5}{3}[/tex]
Step-by-step explanation:
Given
y = 3x - 5 ( add 5 to both sides )
y + 5 = 3x ( isolate x by dividing both sides by 3 )
[tex]\frac{y+5}{3}[/tex] = x
What is the percent of change from 4 to 1?
Answer:
1 is 25% of 4, so 75% decrease
Step-by-step explanation:
what does 7/3 look like?
(a) the probability that a vampire bat would pick A (b) the probability that a vampire bat would pick C (c) the probability that a vampire bat would pick T
Answer:
See Explanation
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have that:
[tex]A = 71[/tex]
[tex]C = 121[/tex]
[tex]T = 66[/tex]
First, we calculate the total
[tex]Total = A + C + T[/tex]
[tex]Total = 71 + 121 + 66[/tex]
[tex]Total = 258[/tex]
Solving (a): Probability of A
This is calculated using:
[tex]Probability = \frac{A}{Total}[/tex]
[tex]Probability = \frac{71}{258}[/tex]
[tex]Probability = 0.275[/tex]
Solving (b): Probability of C
This is calculated using:
[tex]Probability = \frac{C}{Total}[/tex]
[tex]Probability = \frac{121}{258}[/tex]
[tex]Probability = 0.469[/tex]
Solving (b): Probability of T
This is calculated using:
[tex]Probability = \frac{T}{Total}[/tex]
[tex]Probability = \frac{66}{258}[/tex]
[tex]Probability = 0.256[/tex]
Macy eats 1 piece of candy corn on October 1st,
3 on October 2nd, 5 on October 3rd, and so on
through the 31 days of the month. Each day she
eats 2 more pieces than the day before. In all,
how many pieces of candy corn does Macy eat
in October?
Please explain
Answer:
93
Step-by-step explanation:
if you do 31 times 1 + 31 times 2, you get your answer
(i think that's right if not i'm sorry)
Find an equation of a line that is parallel to y = 5x + 9 and passes through
the point (3, 11).
Answer:
y = 5x - 4
Step-by-step explanation:
The equation y = 5x + 9 currently does not pass through the point (3, 11). It asks us to create the equation of a line parallel to y = 5x + 9. So all we have to change is the 9, where the line passes through the y-coordinate. The slope, 5x, has to stay the same, otherwise, the new line will not be parallel to y = 5x + 9.
The line has to pass through to point (3, 11). The 3, stands for the x value, and 11 the y value. If we start at the y value of -4, that means the very next point would be (1, 1), and the next one, (2, 6), and the final one, (3, 11). This is because we know the slope of the line is 5x, that means for every 1 gained x value, the y value gains 5 values.
So, the equation of the new line would be this:
y = 5x - 4
I Hope That This Helps! :)
how do you know that 4/11 is a reapeating decimal
Answer:
Because 4 divided by 11 does not have an exact answer, it just keeps going on.
Step-by-step explanation:
On a piece of paper, graph y+4<1/2 x - 2. Then determine which answer
choice matches the graph you drew
.
A. Graph A
B. Graph B
C. Graph
D. Graph D
Answer:
On a piece of paper, graph y+4<1/2 x - 2. Then determine which answer
choice matches the graph you drew
.
Step-by-step explanation:
On a piece of paper, graph y+4<1/2 x - 2. Then determine which answer
choice matches the graph you drew
.
Answer: the correct answer is D. It says less than or equal to and that means it’s shaded below the line and a full line. Alex said it was correct
Step-by-step explanation:
Aaaaaa help I’m stuck at F I really need to do this so I could get a D please with explanation
Answer:
$1.51
Step-by-step explanation:
1.25 lb. of dried fruit : [tex]\frac{\$1.84}{lb.}*\frac{1.25\ lb.}{1}=\$2.30[/tex]
0.5 lb. of cereal : [tex]\frac{\$2.38}{lb.}*\frac{0.5\ lb.}{1}= \$1.19[/tex]
Cost = $2.30 + $1.19 = 3.49
Money = $5
$5 - $3.49 = $1.51 in change
the graph below shows a quadratic function f(x) and an absolute value function g(x)
which of the following x-values are approximate solutions to the equation f(x)=g(x)? select all that apply
Answer:
The x-values that are approximate solution of the equation [tex]f(x) = g(x)[/tex] are [tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex], respectively.
Step-by-step explanation:
From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for [tex]f(x) = g(x)[/tex], which are described below:
[tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex]
The x-values that are approximate solution of the equation [tex]f(x) = g(x)[/tex] are [tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex], respectively.
HELP ASAP !! NEED ANSWERS !!!
Answer: 180 degrees clockwise
Step-by-step explanation:
Find the quotient mentally. Convert a fraction into a decimal
2 and one half divided by one third
Answer:
7.5
Step-by-step explanation:
16. Find the value of x*
8. 2x-6
A 10
B 7
C -7
D -10
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[tex]2x - 6 = 8[/tex]
Add sides 6
[tex]2x - 6 + 6 = 8 + 6[/tex]
[tex]2x = 14[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{14}{2} \\ [/tex]
[tex]x = 7[/tex]
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The correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the sum and the product of the roots of the equation: x^2+35x−51=0
what is the product of them?
Answer:
(a)
[tex]Sum = -35[/tex]
[tex]Product = -51[/tex]
(b)
[tex]Product = 1785[/tex]
Step-by-step explanation:
Given
[tex]x^2 + 35x - 51 = 0[/tex]
Required
(a) Determine the sum and product of the equation
(b) Determine the products of the (a)
Solving (a)
The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
Where
[tex]Sum = -\frac{b}{a}[/tex]
[tex]Product = \frac{c}{a}[/tex]
By comparison of [tex]ax^2 + bx + c = 0[/tex] tp [tex]x^2 + 35x - 51 = 0[/tex]
[tex]a = 1[/tex]
[tex]b = 35[/tex]
[tex]c = -51[/tex]
So:
[tex]Sum = -\frac{b}{a}[/tex]
[tex]Sum = -\frac{35}{1}[/tex]
[tex]Sum = -35[/tex]
[tex]Product = \frac{c}{a}[/tex]
[tex]Product = \frac{-51}{1}[/tex]
[tex]Product = -51[/tex]
Solving (b)
From (a) above, we have:
[tex]Sum = -35[/tex]
[tex]Product = -51[/tex]
Their product is:
[tex]Product = -35 * -51[/tex]
[tex]Product = 1785[/tex]
Which of the following transformations is the only one that can change the lengths of its sides but remain similar??
A) Translation
B) Rotation
C) Reflection
D) Dilation
Answer:
D
Step-by-step explanation:
It is dilation because transformation is moving and sliding, rotation is spinning, reflection is a mirroring of the shape upon a certain line or axis, and dilation is the change in size leaving 1 point the same.
If x - 3 Is a factor P(x) = x ^ 3 - 7x ^ 2 + 15x - 9, which of the following represents the complete factorization for P(x) ?
A. (x-3)(x+4)(x+1)
B. (x-3)(x+3)(x+1)
C. (x-3(x-3)(x-1)
D. (x-3)(x+3)(x-1)
the answer is c, i just got this question
Answer: C
Step-by-step explanation:
Felicia gives her dog medication daily. She gives him 5 milliliters for each 10 pounds of his weight. He
weighs 40 pounds. How many liters of medicine does she give him each day? (If your answer is
something like 0.080, do not include the trailing zero. Example: Type 0.080 as 0.08) *
Your answer
Answer:
your answer is 20mL or .020 Liters
Step-by-step explanation:
5 x 4 is 20, we do not add the 40 because in the problem it says 5mL for every 10 pounds, so, therefore, your answer is 20mL/.020 Liters
hope this helps have a great day ツ
the perimeter of a semicircle with a radius of 11cm
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Perimeter of circle find by following equation :
[tex]P = 2 \times (\pi) \times (radius)[/tex]
Semicircle is half of circle , thus :
[tex]P = \frac{1}{2} \times (2) \times (\pi) \times (11) \\ [/tex]
[tex]P = 11\pi[/tex]
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Answer:
56.54
Step-by-step explanation:
R=11cm
circumference=2pieR
2*22/7*11
44/7*11
69.08
circumference/2
69.08/2
34.54
diameter
11*2
22
perimeter= 34.54+22
56.54
baker has 5\dfrac145 4 1 5, start fraction, 1, divided by, 4, end fraction pies in her shop. She cut the pies in pieces that are each \dfrac18 8 1 start fraction, 1, divided by, 8, end fraction of a whole pie.
Answer:
The answer is "She cut a total of 42 pieces of pie".
Step-by-step explanation:
Given :
Total pie= [tex]5 \frac{1}{4}[/tex]
cut pie = [tex]\frac{1}{8}[/tex]
The number of pieces of the pie she has=?
Solve the mixed fraction value:
[tex]\to 5 \frac{1}{4}= \frac{21}{4}[/tex]
If she cuts the pieces into the entire pie, that is = [tex]\frac{1}{8}[/tex]
So, the equation is:
[tex]\to \frac{21}{4} = \frac{1}{8} \times x[/tex]
[tex]\to x= \frac{21 \times 8}{4}\\\\ \to x= 21 \times 2\\\\ \to x=42[/tex]
25 POINTS!! PLEASE HELP!
Answer:
The length of TQ is 14.
Step-by-step explanation:
The length of SV and VS are the same.
4x - 1 = 15
4x = 16
x = 4
Similarly, the length of TS and TQ are the same.
3x + 2 = 3(4) + 12 = 14
In chemistry you need to dilute an alcohol solution down. You have a 90% alcohol solution and a 20% alcohol solution. If you want to end up with 335L of 50% alcohol, how much of each do you need?
Answer:
Girl what is the answer
Step-by-step explanation:
Think I fell asleep during this lesson... whoops ¯\_(ツ)_/¯
**Wrong answers will be reported
Answer:
I believe it's 65 degrees.. I'm sry if wrong I may have fell asleep too
Step-by-step explanation:
