The confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times{\sqrt \dfrac{p(1-p)}{n}\\[/tex]
Where Z is the z-score at the confidence interval
p is the population proportion
n is the number of samples.
We have p = 68% = 0.68
n = 115
Z score for 90% confidence interval = 1.64
[tex]\rm MOE = 1.64\times{\sqrt \dfrac{0.68(1-0.68)}{115}\\[/tex]
MOE = 0.071
So the confidence interval will be:
= (0.68-0.071, 0.68+0.071)
= (0.609, 0.751) or
= (60.9%, 75.1%)
Thus, the confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.
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PLS HELP ME ASAP I WiLL MARK THE BRAINLIEST
Answer:
1400 is the volume and the surface area 980
Step-by-step explanation:
In a circle, the length of an an arc intercepted by a central angle is 12mm, and the radius of the circle is a 8 mm. What is the measure, in radians, of the angle?
[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ s=12\\ r=8 \end{cases}\implies 12=8\theta \implies \cfrac{12}{8}=\theta \implies \cfrac{3}{2}=\theta[/tex]
Jenn's carpool ride has been late 4 days out of the 20 days. what is the estimated probability, based on relative frequency, that her ride will be late tomorrow? a. 60% b. 20% c. 80% d. 40%
Answer:B 20 percent
Step-by-step explanation:
Select the best description for the sum of the expression below.
√10 + √26
A. rational
B. neither rational nor irrational
C. both rational and irrational
D. irrational
Answer:
D. Irrational
Step-by-step explanation:
What kind of triangle appears to be formed
if one of two circles has a radius twice as long as the other how do the circumference compare.
It also illustrates a situation where different methods can lead to what appear to be entirely different answers, yet they may be identical. A circle O is circumscribed around a triangle ABC, and its radius is r. The angles of the triangle are CAB = a, ABC = b, BCA = c.
i need the answer to this question ASAP
Answer:
b
Step-by-step explanation:
because when u multiply the number that is outside of the bracket with the number inside the bracket it suppose to equal to the equation bk .....so b is the answer
What is the surface area of this sphere? Use ≈ 3.14 and round your answer to the nearest hundredth.
the raduis is 2 yd
3. Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0-4).
Step-by-step explanation:
y=5(x+1/5)² -36/5
y=5(x+1/5)² -36/5
(b) 1-5 P
W
I=0+90/1
081=1+0S..
65°
f
O
32°
(c)
POE
R
Answer:
83°
Step-by-step explanation:
w+32+65=180 [being the sum of triangle]
w=180-97=83°
40 Points!!!
What are the domain and the range of this function?
Answer: The domain of a function is the set of values that we are allowed to plug into our function.
Step-by-step explanation:
A company sells calculators. If the price of the calculator in dollars is p, the company estimates
that it will sell 10,000-120p calculators.
Write an expression that represents the revenue in dollars from selling calculators if a calculator is
priced at p dollars.
The expression that represents the revenue in dollars from selling calculators if a calculator is priced at p dollars would be [tex]10,000p - 120p^2.[/tex]
How to calculate the revenue?The revenue can be calculated as
revenue = the price of calculator x the number of the calculator
A company sells calculators. If the price of the calculator in dollars is p, the company estimates that it will sell 10,000-120p calculators.
The price of calculator is p.
The number of the calculator is 10,000-120p.
revenue = the price of calculator x the number of the calculator
[tex]p(10,000-120p )\\\\10,000p - 120p^2\\\\[/tex]
The expression that represents the revenue in dollars from selling calculators if a calculator is priced at p dollars would be [tex]10,000p - 120p^2.[/tex]
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Which expression is equivalent to n2 + 26n + 88 for all values of n?
(n + 8)(n + 11)
(n + 4)(n + 22)
(n + 4)(n + 24)
(n + 8)(n + 18)
Answer:
(n + 4)(n+ 22)
Step-by-step explanation:
One way to determine which factored expression is accurate is by asking the question: "Which two numbers multiply to 88, but add to 26?" If you are having difficulty using this method, you can always try the guess-and-check method with a multiple choice question. This way involves multiplying the terms inside one set of parentheses with the terms inside the other set of parentheses.
Step #1: Multiply the first terms
(n + 4)(n + 22) ----> n x n = n²
Step #2: Multiply the inside terms
(n + 4)(n + 22) -----> 4 x n = 4n
Step #3: Multiply the outside terms
(n + 4)(n + 22) -----> n x 22 = 22n
Step #4: Multiply the last terms
(n + 4)(n + 22) -----> 4 x 22 = 88
Step #5: Write the new expanded equation and simplify
(n + 4)(n + 22) -----> n² + 4n + 22n + 88 -----> n² + 26n + 88
Question:
Using only a compass and a straightedge, you are constructing a line perpendicular to AB and passing through a given point, M, on AB. With a compass of set width, you have drawn arcs that intersect AB on each side of M and marked the two intersection points as P and Q.
Options:
-P and set its width to M
-M and set its width beyond P
-P and set its width beyond M
-M and set its width to half the distance between P and M
The construction goes with P and set its width to M.
The correct option is (A).
What is perpendicular bisector ?
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of figure.
Now, a line perpendicular to AB and passing through an external point M.
first step :Put the compass needle on M and, keep the compass width the same then draw two arcs that intersect AB.
Second step: After drawing arcs, from the intersecting points named P and Q.
Now, keeping the width of compass same as before and to the opposite side of M draw an arc named it as M'
Third step: Using straightedge draw line passes through M.
The lines which passes through M will be perpendicular to AB.
The above discussed are steps to draw perpendicular bisector of AB.
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I can't solve it, so, here goes nothin'. "Some people are on a train, 19 people get off at one stop, then, the next one 13. Now there are only 63 people on board. But 4 get off and 10 get on. What's the answer?"
19+13=32
32+63=95
95-4=91
91+10=101
This means that 101 people are now on the bus.
HOPE THIS HELPS <3
Three consecutive even numbers add up to 36. Select all of the following equations that will find the lowest number of the three.
x+(x+2)+(x+4)=36
(x+2)+(x+4)+(x+6)=36
2(x+1)=36
3(x+2)=36
3x=24
Equation A find the lowest number of the three. Equation A satisfies the given conditions.
What is even number?If the number is divisible by 2 then the number will be an even number. Similarly, the number is not divisible by 2 then the number will be an odd number.
Assume the three consecutive integers are 2x,2x+2,2x+4
The sum of the three consecutive even numbers are 36;
x+x+2+x+4 = 36
3x+6=36
3x=30
x=10
The three integers are found as;
x =10
x+2 = 10+2 = 12
2x+4 =10+4=14
Hence, equation A find the lowest number of the three. Equation A satisfies the given conditions.
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2 = 400 4=1600 8=?
what is 8 based on the pattern
Answer:
6400
Step-by-step explanation:
they are being squared in the pattern
there are 15 groups with 90 sixth graders and 60 seventh graders how many students are in each group
Answer: 10 students in each group
Step-by-step explanation: Add 90 + 60 which is 150
Divide 150 by 15 to find out the amount of students in each group.
150 divided by 15 is 10.
Hi! Could I get some help with finding the perimeter of Triangle PMN, please? No need to solve the other question that one has already been answered. Thank you!
Answer:
55
Step-by-step explanation:
ΔVMW ~ ΔPMN, because as their bases are parallel, it means their angles are equal.
===============================================================
Finding the scale factor :
⇒ VW : PN
⇒ 6 : 15
⇒ 2 : 5
==============================================================
Finding WN :
⇒ MW : WN = 2 : 5
⇒ 8 : WN = 2 : 5
⇒ 8/WN = 2/5
⇒ WN = 8/2 × 5
⇒ WN = 20
=============================================================
Perimeter of ΔPMN :
⇒ Perimeter = MP + PN + MW + WN
⇒ Perimeter = 12 + 15 + 8 + 20
⇒ Perimeter = 27 + 28
⇒ Perimeter = 55
What is the length of ? round to the nearest tenth. 11.8 cm 12.9 cm 14.9 cm 15.3 cm
Answer:
1) 11.10cm
2)12.10cm
3)14.10cm
4) 15cm
The process of completing the square
The method of completing the square can be used to determine the vertex of a function. he unknown value is -162
Completing the square of a functionThe method of completing the square can be used to determine the vertex of a function.
Given the quadratic function
-2x² + 36x
-2(x²-18)
Complete the square
-2(x² - 18x + ( -9)²+ 9²)
-2(x-9)² + -2(81)
-2(x-9)² - 162
Compare
On comparing with the expression, you can see that the unknown value is -162
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How many numbers have an absolute value of 4/5
Answer:
2
Step-by-step explanation:
only 4/5 and -4/5 are 4/5 away from 0
Answer:
Two. 4/5 and -4/5
Step-by-step explanation:
absolute value means distance from zero. 4/5, and -4/5 are the only two numbers that are 4/5 away from zero, so the is two numbers. if you have anymore questions asking how many numbers have a specific absolute value, the answer is two as well.
The tank for a car holds 20 gallons. the gpsoline suze shows
1
the tank is full. how much gas is still in the tank. give
4
your answer as a whole number or as a mived fraction
reduced to lowest terms.
Answer:
20 gallons
Step-by-step explanation:
The tank is at its full capacity, and its full capacity is 20 gallons. This means there is 20 gallons of gas in the tank.
What is the range of the following data values? 16, 23, 55, 64, 49 O A. 80 B. 48 C. 16 O D. 64 SUE
Answer:
B. 48.
Step-by-step explanation:
16, 23, 55, 64, 49
Range = highest value - least
= 64 - 16
= 48.
1.
mr. reed received a loan for 3500.00, the loan is for 2 years at 6.75% interest rate, how
much interest will mr. reed have to pay? (calculate using simple interest and
compound interest).
Answer:
3500,00 (2 multiply by 6,75%)
3500,00 (2 multiply by 6,75 divide by 100)
3500,00 ( 2 multiply by 0,0675)
3500,00 multiply by 0,135
= R472,50
pls answer im so desperate ill mark brainliest!! pls answer all three questions
Answer:
For the Third Question The answer would be D
Step-by-step explanation:
When u multiply 5×3=15
so 18^15/8 would be the correct answer
Solve for x: 1 < X + 3 < 4
Answer:
for soln 1: X < -2; for soln 2: X < 1
Step-by-step explanation:
This is two set problem involving inequality. Therefore, you have to solve for each side of the inequality to know the values of X for each sides.
1 < X + 3 < 4
Soln 1. solve for the first side of the inequality
1 < X + 3
1 - 3 < X
-2 < X
X > -2
soln 2: solve for the second side of the inequality
X +3 < 4
X < 4 - 3
X < 1
Therefore, X > -2; X < 1
A survey was given asking about preferred shopping methods.
. Of the 88 people surveyed without children. 73 prefer using a smart phone.
• of the 98 people surveyed with children. 67 prefer using a tablet
.
Complete the table for this situation
Device
Tablet
Phone
Total
Number of Children
Without Children 73
With Children
67
Total
104
82
186
Please help me
Answer:
Step-by-step explanation:
Without Children - 73 - 15 - 88
With Children - 31 - 67 - 98
Total - 104 - 82- 186
The required table for given situation as:
Without Children : 73 Phone + 15 Tablet = 88 Total Device
With Children : 31 Phone + 67 Tablet = 98 Total Device
Total : 104 Total Phone + 82 Total Tablet = 186 Total
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators.
Without Children : 73 Phone + 15 Tablet = 88 Total Device
With Children : 31 Phone + 67 Tablet = 98 Total Device
Total : 104 Total Phone + 82 Total Tablet = 186 Total
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3 calculators and 4 books cost £23
2 calculators and 3 books cost £16
Work out the price of a single calculator and a single book.
Price of a calculator =
Price of a book =
Answer:
Step-by-step explanation:
Let the calculators be C and the books be B.
3C + 4B = 23 and 2C + 3B = 16
3C = 23 - 4B 2(23 - [tex]\frac{4B}{3}[/tex]) + 3B = 16
C = 23 - 4B 46 - [tex]\frac{8B}{3}[/tex] + 3B = 16
3 46 - [tex]\frac{-8B + 3B }{3}[/tex]
Plxx help mee giving brainlyist to the first to answer correctly
Answer:
0.9/3=0.3 First one
Step-by-step explanation:
0.9/3=0.3
The boxes are being divided into 3 equal parts and each section has 0.30 squares
Answer:
The answer is A: 0.9÷3=0.3
Step-by-step explanation:
The boxes are equally divided into thirds
an airplane files 867 miles with a constant speed of 612 mph and then another 1984 miles with a constant speed of 744 mph what is its average speed for the total trip?
The average speed is the ratio of the total distance to the total time. Then the average speed of the airplane will be 698.19 miles per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
An airplane files 867 miles with a constant speed of 612 mph and then another 1984 miles with a constant speed of 744 mph.
Then time taken for the first trip will be
t₁ = 867 / 612
t₁ = 1.4167 hours
Then time taken for the second trip will be
t₂ = 1984 / 744
t₂ = 2.6667 hours
Then the average speed is the ratio of the total distance to the total time.
The total distance will be
Total distance = 867 + 1984
Total distance = 2851 miles
The total time will be
Total distance = 1.4167 + 2.6667
Total distance = 4.0834 hours
Then the average speed will be
Average speed = 2851 / 4.0834
Average speed = 698.19 mi/h
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