Answer:
See below
Step-by-step explanation:
Check One Sample Z-Interval Conditions
Simple Random Sample? √
np≥10? √
n(1-p)≥10? √
One-Sample Z-Interval Information
Formula --> [tex]CI=\hat{p}\pm z^*\biggr(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\biggr)[/tex]Sample Proportion --> [tex]\hat{p}=\frac{54}{250}=0.216[/tex]Critical Value --> [tex]z^*=1.4395[/tex] (for a 85% confidence level)Sample Size --> [tex]n=250[/tex]Margin of Error (MOE) --> [tex]\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]Problem 1
As stated previously, Anas should use the critical value [tex]z^*=1.4395[/tex] to construct the 85% confidence interval
Problem 2
Given our formula for the margin of error (MOE), the value is [tex]MOE=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\sqrt{\frac{0.216(1-0.216)}{250}}\approx0.026[/tex]
Problem 3
The 85% confidence interval would be [tex]CI=\hat{p}\pm z^*\biggr(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\biggr)=CI=0.216\pm 1.4395(0.026)\appro=\{0.1786,0.2534\}[/tex], which means that we are 85% confident that the true proportion of people that clicked on the advertisement is between 0.1786 (~45 people) and 0.2534 (~63 people)
Problem 4
Increasing the sample size to [tex]n=500[/tex] is going to decrease the margin of error because it is a closer representation of the population, but, alas, requires more time, energy, and resources to observe.
At an appliance store, the price of a refrigerator is marked up 25% to $406.25.
What was the price of the refrigerator before the markup?
Enter your answer.
Answer:
$325
Step-by-step explanation:
Answer:
$325
Step-by-step explanation:
if the refrigerator has been marked UP by 25%, this means that $406.25 is 125% of the original price (the original price being 100%).
Therefore, divide 406.25 by 125 to find the cost per 1%, then multiply by 100 to find the original price.
(406.25 ÷ 125) x 100 = 325
Random groups of 30 teachers were asked the starting annual salary for theirfirst teaching job. The sampling variability was low. If the average salary of several of the groups was close to $59,000, which of these is least likely to be the average salary of another one of the groups?
Answer:
C. $69,000
Step-by-step explanation:
just did it on the test
Fill in the blanks:
Use unit rates to determine the better buy and provide the unit price for your answer. Round your answer to the nearest
hundredth, if necessary.
A) $3.15 for 300 index cards $
per index card
B) $1.35 for 50 index cards S
per index card
Option
is the better buy
Continue>
.
type the following expression in the answer blank:
x
+
3
x
+
2
x
+
3
x
+
2
Answer: I know simplified it is -x^2 + 8x + 1
The degree of the simplified expression is 2.
It is a monomial
I am almost positive it is constant.
Hope this helped
:D
Step-by-step explanation: Ps. Sorry if anything is incorrect, math is my worst subject but I am pretty sure everything is correct.
5. A student has a goal to read 5,000 pages in books over the summer. After the first three weeks, he has read 1,350 pages. Write an equation that could be used to find the number of pages he has left to read. Use the variable n when writing the equation.
What is the volume, in cubic feet, of a cube with an edge length of 8 feet?
Answer:
volume of this cube is 512 feet³
Step-by-step explanation:
cubic volume = a³ here a is the side length
here the side length is 8 feet
so, volume = 8³ = 512 feet³
Someone help me with geometry
The formula to find the distance between two points is:
d = √[(x2 − x1)² + (y2− y1)²]
distance between (3,4) and (21,4) = 18 cm
distance between (21,4) and (12,16) = 15 cm
distance between (12,16) and (3,4) = 15 cm
height = point in half of the base and the the top point so its (12,16) and (12,4) and the distance between them = 12
triangle perimeter = is the sum all sides
= 48 cm
Triangle area = 0.5 * base * height
= 0.5 * 12 * 18 = 108 cm²
estimate the value of the following by rounding of values 4196×673
Answer:
2823908
Step-by-step explanation:
PLEASE HELP WITH THIS MY DEADLINE IS TMW
Answer:
Left 3, down 3
Step-by-step explanation:
Moves to the left 3 and goes down 3
Just graph that on desmos and then use desmos as a refernece to draw your graph
Mr. Jacob arrived at his school at 07:10 and left at 15:45. How long was he in his school?
Answer:
he stayed 8 hours and 35 minutes
Step-by-step explanation:
15 -7 =8
45-10=35
A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.2 MB. Yesterday, there were 1390 downloads of the song, for a total download size of 4683 MB. How many downloads of the high-quality version were there?
Answer:
H=310
Step-by-step explanation:
This problem is a great systems of equations problem--you have two different variables: song size and number of songs.
Let's call the number of standard version downloads (S) and the high quality downloads (H).
You can make two statements:
For number of songs downloaded: S + H = 910
For download size: 2.8(S) + 4.4(H) = 3044.
S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:
2.8(S) + 4.4(910 - S) = 3044
2.8S + 4004 - 4.4S = 3044
-1.6S = -960
s = 600
Your question only asks for the standard version downloads, but to help you out in future Systems situations-
You can also solve for H once you have S by plugging it into either of your equations like this:
600 + H = 910
-600
Hope this helps!
1
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A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius.
Each of the central angles has a measure of 40°. How many sides does the polygon have?
V
O 8
0 ООО
10
O 12
Mark this and return
Save and Exit
Next :
1. Submit
Answer:
9 sidesStep-by-step explanation:
Each central angle represents a side of the polygon.
The number of sides is:
360 / 40 = 9We know in a circle the centre angle is 360°
Now each side is corresponded by the centre.So number of sides of polygon
[tex]\\ \sf\longmapsto \dfrac{360}{40}[/tex]
[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]
[tex]\\ \sf\longmapsto 9[/tex]
Solve the following equation. Show your work. 3/4(2x-16)=1/3(x+6)
Answer:
x=12
Step-by-step explanation:
1. 3/4(2x-16)=1/3(x+6)
2. 3/2x-12=1/3x+2
3. 3/2x-1/3x=2+12
4. 7/6x=14
5. x = 12
If rx – st = r, which expression represents r.
Answer:
[tex]{ \tt{rx - st = r}}[/tex]
» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides
[tex]{ \tt{(rx - st) { \green{ - r + st }} = r{ \green{ - r + st}}}} \\ { \tt{rx - r = st}}[/tex]
» On the left hand side, factorise out r
[tex]{ \tt{ \green{r(x - 1)} = st}} \\ \\ { \boxed{ \tt{ \blue{ \: r = \frac{st}{x - 1} }}}}[/tex]
I NEED HELP PLEASE HELP ME OUT ILL GIVE YOU EXTRA POINTS
Answer: dont know just search it up
Two printers can complete a job in 2 hours. The faster printer can do the job, operating alone, in 4 hours. How long would it take the slower printer, operating alone, to do the job?
Answer:
Let x equal the amount of time required for the second press to complete the job on its own.
The second press then operates at a rate of 1/x of the job per hour.
The two presses work together at a rate of 1/2 of the job per hour.
And the first press operates at a rate of one-sixth of the job per hour.
As a result, our equation to solve is:
1/6+1/x=1/2 multiply each term by 6x x+6=3x subtract x from each side x-x+6=3x-x group like terms together
2x=6 multiply both sides by 2 x=3 the number of hours required for the second press to finish the job
CK
1/6+1/3=1/2
1/6+2/6=1/2\s3/6=1/2
1/2=1/2\salso\s(1/6)*2=1/3\s(1/3)*2=2/3\s2/3+1/3=1 (Only one job)
1=1
a. Color and compare.
Which is greater 3/4 or 5/6
Answer:
5/6 is greater
Step-by-step explanation:
Fill in the blanks with the fractions 3/4 and 5/6. Simply transmit their denominators to other fractions while altering their location to cross multiply them ( numerator should be on same side e.g the fractions with numerator 3 is on the left side, so it should be there only).
If qs bisects pqt, sqt= (8x-25), pqt-(9x+34) and sqr= 112 find each measure
As it is written this question isn't very clear, and I'm not positive that the entire thing can be answered. I don't know where point R is. Is there a picture that goes with this problem? If so, maybe that would make it more clear. What I can do is show you how to solve for x. While I don't believe this is the final answer, I believe it is a step toward the right answer. We know what ray QS bisects angle PQT. If you draw out angle PQT and ray QS you can see that angle PQS is congruent to angle SQT. Because of the definition of angle bisector. This also means that angle SQT is half of PQT. Because of this we know that we can set the measure of PQT equal to 2 times the measure of SQT. So we can set up and solve the following equation as such:
2(8x-25) = 9x +34
16x - 50 = 9x +34
7x -50 = 34
7x = 84
x = 12
Again I this doesn't seem to be your final answer. To find the answer the measures of each angle you're going to want to plug 12 in for x for one of the angles. So I'll do it for angle SQT.
8(12) - 25
96 -25
71
So the measure of angle SQT should be 71. Therefore since QS bisects PQR, the measure of angle PQS should also be 71. The measure of PQT should be double that which makes it 142. I'm not positive that this is all the problem is looking for, but I think that's most of it. Hope this helps!
A+B=44, 2B-8=A. What isA? What is B? How did you reach those awnsers?
Answer:
A= B=17.3
Step-by-step explanation:
First replace A with 2B-8:
2B - 8 + B = 44
Next simplify:
3B - 8 = 44
44+8=3B
52 = 3B
B = 52/3
B= 17.3
Now find A:
2B-8=
2 x 17.3 -8=
34.6 - 8=
26.6
I hope this helps :)
BRO PLS I HAVE TO PASS THIS (click for question) 20 POINTS!
Answer:
D, E.
Step-by-step explanation:
Simplify the expression inside the parentheses:
[tex]3(23 + 18) < 6a[/tex]
[tex]3(41) < 6a[/tex]
Multiply:
[tex]123 < 6a[/tex]
Substitute each value provided for a:
Opt A. 123 < 6(18) = 123 < 108. Incorrect option.
Opt B. 123 < 6(19) = 123 < 114. Incorrect option.
Opt C. 123 < 6(20) = 123 < 120. Incorrect option.
Opt D. 123 < 6(22) = 123 < 132. Correct option.
Opt E. 123 < 6(24) = 123 < 144. Correct option.
difference between a number line and a number track
Answer:
What's the difference between a number track and a number line? A number track is a sequence of numbers, each inside its own square. ... Whereas, a number line is where the numbers are attached to markers on a line. This method of addition / subtraction comes later.
Help me please if you can
Answer:
the answer to your question is 37.
Step-by-step explanation:
all you need to do is add up all of the sides
PLEASE HELP
You invested $10,000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $780, how much was invested at each rate?
The amount invested at 7% is $0
Using simple interest, it is found that:
The amount invested at 7% is $2,000.The amount invested at 8% is $8,000.Simple InterestSimple interest is used when there is a single compounding per time period.
The interest after t years in is modeled by:
[tex]I(t) = Prt[/tex]
In which:
P is the initial amount.r is the interest rate, as a decimal.In this problem:
A total of $10,000 was invested, hence [tex]P_1 + P_2 = 10000[/tex].Two accounts paying 7% and 8% annual interest, respectively, hence [tex]r_1 = 0.07, r_2 = 0.08[/tex].The total interest earned for the year was $780, hence [tex]t = 1, I_1 + I_2 = 780[/tex]Then:
[tex]I_1 = 0.07P_1[/tex]
[tex]I_2 = 0.08P_2[/tex]
Considering [tex]P_1 + P_2 = 10000 \rightarrow P_2 = 10000 - P_1[/tex]:
[tex]I_2 = 0.08(10000 - P_1)[/tex]
Considering [tex]I_1 + I_2 = 780 \rightarrow I_2 = 780 - I_1[/tex]:
[tex]780 - I_1 = 0.08(10000 - P_1)[/tex]
Considering [tex]I_1 = 0.07P_1[/tex]:
[tex]780 - I_1 = 0.08(10000 - P_1)[/tex]
[tex]780 - 0.07P_1 = 0.08(10000 - P_1)[/tex]
[tex]0.01P_1 = 20[/tex]
[tex]P_1 = \frac{20}{0.01}[/tex]
[tex]P_1 = 2000[/tex]
And:
[tex]P_1 + P_2 = 10000[/tex]
[tex]2000 + P_2 = 10000[/tex]
[tex]P_2 = 8000[/tex]
Then:
The amount invested at 7% is $2,000.The amount invested at 8% is $8,000.You can learn more about simple interest at https://brainly.com/question/25296782
HELP ME OUT PLS!!!!
3) Which transformation is the result of reflecting the original figure across the y-axis and then across the x-axis?
A) A
B) B
C) C
D) D
Answer: D
Step-by-step explanation: when u reflect once it lands in the top right then again bottom right
Find the area of the figure. (Sides meet at right angles.)
NEED ANSWER ASAP
NO DOWNLOAD LINKS OR FILES
WILL RATE 5 STAR/5 HEART
Answer:
40 yd^2
Step-by-step explanation:
Add the square at the bottom to make one large rectangle. Subtract the square not included from that area to get the figure shown (see attachment).
Dennis says that 1 1/2,1 2/4, and 1 3/6 are all equivalent. Is he
correct?
Answer: Yes
Step-by-step explanation:
Most fractions can be simplified into smaller fractions, while some are in it's simplest form. When putting a bit in its simplest form it is much easier to compare to other fractions
What I did first tried to simplify all the factions, starting with 1 1/2.
After looking at 1 1/2, I can see that it is in its simplest form.
Then looking at 1 2/4 I can see that it can be simplified into 1 1/2.
Lastly looking at 1 3/6 I can see that it can be simplified into 1 1/2.
Khala plots point A at -1, -3 and 1/2. Which graph shows the location of point A?
Answer:
The second graph
Answer:
Graph B.Step-by-step explanation:
Khala plots a point at (-1, -3.5).
Once on the 2nd graph, you'll see that it's graphed on (-1, -3.5).
Your answer is Graph B.
What’s the value of x
Answer:
x = 2.75
Step-by-step explanation:
using Pythagoreas theorem
a² + b² = c²
3² + 4² = c²
9 + 16 = 25
square root 25 = 5
therefore AB = 5
to find x
5 - AD = x
5 - 2.25 = x
x = 2.75
What is the answer to 4x plus 60
Answer:
It is not possible to add them together
Step-by-step explanation:
Since you dont know what x is, you cannot add it to 60
Please help I don’t know what to do I’m panicking
Answer:
I think its 20 units but I'm unsure
Step-by-step explanation:
