Answer:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]
And rounded up we have that n=748
Step-by-step explanation:
The confidence level is 90% and the significance level would be [tex]\alpha=1-0.9=0.1[/tex] and [tex]\alpha/2 =0.05[/tex] and the critical value for this case is:
[tex] z_{\alpha/2}= 1.64[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we want a margin of error of [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
Since we don't hace any prior info for the population proportion we can use [tex]\hat p =0.5[/tex]. And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]
And rounded up we have that n=748
Using the sample size formula, the required number of sample is 752.
Using the confidence interval relation :
[tex] n = \frac{pq}{(\frac{E}{Z_{crit}})^{2}} [/tex] p =sample proportion = 0.5 q = 1 - p = 1 - 0.5 = 0.5 Zcrit at 90% = 1.645 E = Error Margin = 3% = 0.03Substituting the values into the equation :
n = [tex] \frac{0.5 \times 0.5}{(\frac{0.03}{1.645})^{2} }[/tex]
[tex] n = \frac{0.25}{0.0003325}[/tex]
[tex] n = 751.67[/tex]
Therefore, the required number of sample is 752.
Learn more : https://brainly.com/question/25609130
Which best describes the line of reflection
Answer:
Option 3
Step-by-step explanation:
The line between the two shapes is 6 units away from the first B point.
-(28-4x)=92 This is a two-step equation with distributive property
Can anybody show me the steps to answering this question? 7x - 2z = 4 - xy
(solve for x)
Answer: 2z+4/y+7
Step-by-step explanation:
We are trying to solve for x
7x-2z=4-xy
Add xy to both sides:
7x-2z+xy=-xy+4+xy= xy+7x-2z=4
Then you add 2z to both sides:
xy+7x-2z+2z=4+2z
xy+7x=2z+4
Then you factor out variable x
x(y+7)=2z+4
You divide both sides by y+7
x(y+7)/y+7= 2z+4/y+7
Which we would get x=2z+4/y+7
Like terms are those terms that are having the same variables, also the variables are of the same order as well. The value of the x can be written as (4 + 2z)/(7 + y).
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
7x - 2z = 4 - xy
Bring like terms together,
7x + xy = 4 + 2z
Take x as common from the left side of the equation,
x(7 + y) = 4 + 2z
x = (4 + 2z)/(7 + y)
Hence, the value of the x can be written as (4 + 2z)/(7 + y).
Learn more about Like Terms:
https://brainly.com/question/2513478
#SPJ2
Who was correct? Which size is the best deal? How should joy and John spend the 10.00
Final answer:
To determine the best deal, compare unit prices by dividing the price by the size of the items. Spend the $10.00 according to needs and preferences.
Explanation:
In order to determine which size is the best deal, Joy and John need to compare the prices per unit of the items they want to buy. They should divide the price of each item by its corresponding size to calculate the unit price. The item with the lowest unit price would be the best deal.
For example, if Joy wants to buy a 16oz bottle of soda for $1.50 and John wants to buy a 20oz bottle for $2.00, the unit price for Joy's soda would be $1.50/16oz = $0.09/oz, while the unit price for John's soda would be $2.00/20oz = $0.10/oz. Therefore, the 16oz bottle would be the best deal as it has a lower unit price.
As for how they should spend the $10.00, it would depend on their needs and preferences. They could evenly split the money and buy items separately, or they could pool their money together and buy a larger item.
Which equations can be used to determine the area of the irregular figure? Check all that apply. A trapezoid has a base of 9 inches, height of 5 inches, and top side length of 3 inches. A = 3 (5) + one-half (5) (6) A = one-half (5) (9) + one-half (3) (5) A = one-half (3) (5) (9) A = 3 (5) (9) A = one-half (5) (9) + 3 (5) A = 3 (5) + 6 (5)PLZ HELP FOR BRAINIEST FOR CORRECT ANSWER AND 20 POINTS
Answer:
1, 2, 3, 5
Step-by-step explanation:
Answer:
1 and 2
or
A and B
Step-by-step explanation:
The volume of a cube is 343 centimeters cubed. Whats the area of its base?
Answer:
49
Step-by-step explanation:
If the volume of a cube is 343 cubic centimeters, then the length of one of the edges must be 7, because 7^3=343. If the side length is 7, then the area of the square base is 7^2=49 square centimeters. Hope this helps!
Use the bar graph to find the experimental probabily of the events.
A. The experimental probabily of spinning a number greater than 3 is ___
B. The experimental probability of spinning an odd number is ___
Answer:
A. 2/5
B. 3/5
Step-by-step explanation:
Write the Equation of the line that has a slope of -2 and passes through the points (9,5)
Start with the point-slope formula shown at the top in red.
Now, substitute your slope and coordinates in the formula.
Then distribute and combine lie terms.
Finally, add 2x to both sides to get your equation in standard form.
Which describes the cross section of the cube that passes through the vertices A, B, and C shown below?
a rectangle that is not a square
a square
a triangle with three equal sides
a triangle with only two equal sides
Answer:
a triangle with three equal sides
Step-by-step explanation:
Base on the figure, the vertice length of A , B and C are equal. Therefore, a triangle with three equal sides is the correct answer.
Please find the attached file for the figure
Answer:
Its c, if you dont have time to match the answers.
Step-by-step explanation:
The diameter of a circle is 14 inches. Find the circumference.
Use 22/7 or 3.14 for π.
Please show work! I will give brainliest!
Answer:
43.96 inches
Step-by-step explanation:
when you have the diameter of a circle, you just multiply it by pi and you will get the answer. since your diameter is 14, you multiply it by 3.14 and you will get 43.96 inches
Using π as 3.14, the circumference of the circle with a diameter of 14 inches is approximately 43.96 inches. This level of precision is suitable for most practical applications.
To find the circumference (C) of a circle, you can use the formula C = πd, where d is the diameter. In this case, the diameter is given as 14 inches.
Given the options of using either 22/7 or 3.14 for π, let's use 3.14 for this calculation.
C = 3.14 × 14
≈ 43.96 inches
Therefore, the circumference of the circle is approximately 43.96 inches when using π as 3.14. This means that if you were to wrap a string around the edge of the circle, it would take nearly 43.96 inches of string to complete one full loop.
It's important to note that using 22/7 for π is another approximation and yields a slightly different result, but for most practical purposes, 3.14 is accurate enough.
To learn more about diameter
https://brainly.com/question/30460318
#SPJ2
Given a right cylinder where h is the height and ris the radius, what does the
expression 2 rh represent?
O
A. Area
B. Lateral area
O C. Volume
D. Base area
Find the mean absolute deviation of each set of data. Round your answer to two decimal places. Did I do this correctly
Find the mean absolute deviation of each set of data. Round your answer to two decimal places.
3,1,5,4,8,6
1+3+4+5+6+8+=27 mad= |1-4.5|+|3+4.5|+|4-4.5|+|5-4.5|+|6-4.5|+|8-4.5|=11 6 6 6
Answer:
3,1,5,4,8,6 is 1.83 for mean absolute deviation
Step-by-step explanation:
The student correctly calculated the mean and the absolute deviations from the mean, but did not divide the sum of these by the number of data points to find the mean absolute deviation. The correct mean absolute deviation is 11 divided by 6, equal to 1.83 (rounded to two decimal places).
Explanation:Based on your computations, it looks like you did correctly compute the mean absolute deviation (MAD). The first step is to find the mean (average) of the data set, which you correctly found to be 4.5 by summing the data points (3, 1, 5, 4, 8, 6) and dividing by the number of data points (6). Then, you correctly computed the absolute deviations from the mean for each data point (|1-4.5|, |3-4.5|, |4-4.5|, |5-4.5|, |6-4.5|, |8-4.5|), and summed these to get a total absolute deviation of 11. Finally, you divided this total by the number of data points (6) to find the mean absolute deviation. However, you missed this final division step in your calculations. The MAD should be 11/6 = 1.83 (rounded to two decimal places).
Learn more about mean absolute deviation here:https://brainly.com/question/32035745
#SPJ11
Question 2
2. Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n”, the number of nights can she afford to rent the beach house?
a. n ≤ 6
b. n ≥ 6
c. n < 5
d. n > 5
A. n ≤ 6
May I have brainliest please? :)
Which one is steeper
Answer:
Line B is the steeper line.
Explanation: Line B is more straight down than line A
seth painted the figure at the right on his wall how many square inches of paint did he use
Answer:
there isn't enough information
Step-by-step explanation:
Geometry Angles question 3, Thanks if you help
Answer:
54
Step-by-step explanation:
64 + 62 = 126
180 - 126 = 54
Answer:
D
Step-by-step explanation:
because x and 53 are Alternate angles , they are in form of z which male them equal
Which of the following probabilities is the greatest for a standard normal distribution?P (negative 1.5 less-than-or-equal-to z less-than-or-equal-to negative 0.5) P (negative 0.5 less-than-or-equal-to z less-than-or-equal-to 0.5) P (0.5 less-than-or-equal-to z less-than-or-equal-to 1.5) P (1.5 less-than-or-equal-to z less-than-or-equal-to 2.5)
Answer:
negative 0.5 less-than-or-equal-to z less-than-or-equal-to 0.5
Step-by-step explanation:
its the peak of the graph
Answer:
B
Step-by-step explanation:
on edge
What is the rate of change and initial value for the linear relation that includes the points shown in the table? x y 2 3 4 5 6 7 8 9 Initial value: 1, rate of change: 2 Initial value: 1, rate of change: 1 Initial value: 2, rate of change: 2 Initial value: 3, rate of change: 2
Final answer:
The rate of change is 1 and the initial value is 1.
Explanation:
The table shows the points (2, 3), (4, 5), (6, 7), and (8, 9). To find the rate of change, we can calculate the difference in y-coordinates and divide by the difference in x-coordinates for any two points. Let's take the points (2, 3) and (4, 5) as an example:
The difference in y-coordinates is 5 - 3 = 2.
The difference in x-coordinates is 4 - 2 = 2.
The rate of change is 2 / 2 = 1.
To find the initial value, we can look for the y-coordinate when x is 0 or when the equation is of the form y = mx + b. In this case, the initial value is 1.
621/87 can anybody help me
Answer:
621/87=7.13793103448
Step-by-step explanation:
I divided it and got this answer
Answer: 621 divided by 87 is 7 with the remainder of 12.
Step-by-step explanation:
Photo is above. Show work thank you. Questions at bottom.
Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make a box.
1) what is the surface area of the box?
2) What is the volume of the box?
3) Explain how you determined the surface area and volume.
Answer:
surface are: 300 cm2
volume: 450cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Surface area of a box = 2wl + 2hw + 2 lh
Where w is the width of the box, l is the length of the box, and h is the height of the box.
The top sides and bottom have only length and width, since there is no top side, the surface area is equal to the outer 5 surfaces.
S = wl + 2hw + 2 lh
Replacing with the values given:
S = (15x10)+ 2(3x10)+ 2(15x3)
S = 150+60+90=300 cm2
For the volume we simply apply:
Volume of a rectangular prism: length x width x height
V = 15x10x3 = 450cm3
Feel free to ask for more if needed or if you did not understand something.
Holly has 4 swimsuits, 2 hats, and 3 pairs of flippers. Find the number of outfit combinations she has
Answer:
4*2*3= 8*3= 24
Step-by-step explanation:
For every swimsuit there are 2 hats, that makes 8 combinations. For any of the 8 combinations there are 3 pairs of flippers, equaling 24.
Social security numbers have the form XXX-XX-XXXX,
where each X is a digit. How many unique social security
numbers are possible?
A) 100 million
B) almost 400 million
C) 1 billion
D) over 3 billion
Pamela chose B as the correct answer. How did she get that answer?
Please answer both parts.
there is only a certain amount of numbers
i hope this helped you
Answer:
C
Step-by-step explanation
So you take the amount of digits total (which is 9) and the highest number you can make is 999,999,999 so basically everything between 000,000,0001 and 999,999,999 is a possible unique social security number. So its closest to 1 billion.
Pamela got B since the only logical explanation i can think of is that she rounded incorrectly
A panel of judges was rating the taste of different brands of potato chips. Ayane noticed a linear
relationship between the prices and the ratings for 20 different brands. Here is computer output from a
least squares regression analysis for predicting rating from price:
Predictor
Coef
-0.39
Constant
SE Coef
0.57
0.283
-0.687 0.499
8.9 0.000
Price
2.52
S = 0.7387
R-sq = 77.3%
Use this model to predict the rating of a brand that costs $3.00 per bag.
You may round your answer to the nearest whole number rating.
Predicted rating:
Show Calculator
Answer:
The rating of a brand that costs $3.00 per bag is 7.
Step-by-step explanation:
A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.
The general form of a simple linear regression equation is:
[tex]y=a+bx[/tex]
Here,
y = dependent variable
x = independent variable
a = intercept
b = slope
The output of the least squares regression analysis for predicting rating from price is provided.
So, the dependent variable is the ratings and the independent variable is the price.
The regression equation for predicting rating from price is:
[tex]y=-0.39+2.52x[/tex]
Predict the rating of a brand that costs $3.00 per bag as follows:
[tex]y=-0.39+2.52x[/tex]
[tex]=-0.39+(2.52\times \$3.00)\\=-0.39+7.56\\=7.17\\\approx 7[/tex]
Thus, the rating of a brand that costs $3.00 per bag is 7.
I will give you a Brainly crown if it is right. Will you help me
Answer:
35
Step-by-step explanation:
Answer:
b = 35
Step-by-step explanation:
a and b make a right angle
a+b = 90
55 + b = 90
subtract 55 from each side
55-55 +b = 90-55
b = 35
I need help on this can someone help me
Answer:
Answer is 63
Answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]area \: of \: sector \: = \frac{theta}{360} \times \pi \: {r}^{2} \\ here \: theta \: = 72 \: degrees \: and \\ radius \: = 10 \\ on \: substituting \: the \: values \: in \: the \: formula \\ area \: of \: sector \ = \frac{72}{360} \times \pi \: {10}^{2} \\ \: \: = \frac{1}{5} \times 100\pi \\ = 0.2 \times 100 \times \pi \\ = 62.83 \\ are \: of \: sector \: is \: approximately \: \\ equal \: to \: 63[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
NEED HELP
What is the value of t in this equation? (j^-12)^-5=jt
To find the value of t, apply the exponent rules and simplify to get t = [tex]j^{59[/tex], assuming j is not zero.
The value of t in the equation [tex](j^{-12})^{-5} = j \times t[/tex] can be found by understanding the properties of exponents. Since the equation involves a base raised to an exponent that is also raised to another exponent, one would apply the rule that states [tex](a^n)^m = a^{(n \times m).[/tex] Thus, simplifying gives us [tex]j^{(12 \times 5)} = j \times t \space or j^{60} = j \times t[/tex] Now, assuming that j is not 0, we divide both sides by j to isolate t, resulting in [tex]t = j^{59[/tex], and j will not be equal to zero, hence J [tex]\neq[/tex] 0.
what is the unit rate of area in square feet of enlarged image per square foot of area of the original
Answer:
2
Step-by-step explanation:
1/2(2/3)
3/6(4/6)
3(4)
12/6=2
Find the mean, median, mode, and range of the data set after you perform the given operation on each
data value.
9,7, 12, 13, 9, 3; add 5
(1 pa
mean: 8.8, median: 9, mode: 9, range: 10
mean; 8.8, median: 9, mode: 9, range: 5
mean: 13.8, median: 14, mode: 14, range: 5
mean: 13.8, median: 14, mode: 14, range: 10
Answer:
mean= 8.8
median= 9
mode= 9
range= 10
ANSWER: A
Step-by-step explanation:
Y = -6x+5 -2x + y =5
Answer:
Y=18x
Step-by-step explanation:
You have to add 6x plus 5 and you get 11x then you have to subtract 2x from that 11x to get 9x then you have to add 4 plus 5 and you get 9 and add 9x +9 and you get 18x. So Y=18x
If i am wrong i am sorry i am just trying to help but tell me whether i am right or wrong.
Subtract 5x^2-2x-55x 2 −2x−5 from -2x^2-5x-7−2x 2 −5x−7.
Answer:
7x^2 -128x -19
Step-by-step explanation:
Answer:
-7x^2 -3x -2
Step-by-step explanation: