Answer:
a) The 98% Confidence Interval for the proportion of all students that prefer ebooks is (0.55, 0.65).
b) The margin of error is of 0.05.
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In a sample of 400 students, 60% of them prefer eBooks.
This means that [tex]n = 400, \pi = 0.6[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.054[/tex].
Margin of error -> Question b:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 2.054\sqrt{0.6*0.4}{400}}[/tex]
[tex]M = 0.05[/tex]
The margin of error is of 0.05.
A.Find 98% Confidence Interval for the proportion of all students that prefer ebooksb.
Sample proportion plus/minus the margin of error.
0.6 - 0.05 = 0.55
0.6 + 0.05 = 0.65
The 98% Confidence Interval for the proportion of all students that prefer ebooks is (0.55, 0.65).
Find z such that 3.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places.)
Answer:
z = 1.77.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area of the normal curve to the left of Z. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Find z such that 3.8% of the standard normal curve lies to the left of z
Thus, z with a z-score of 0.038. Looking at the z-table, this is z = 1.77.
Please! Help, Also please show you’re work! will give brainliest to all who gives me the best answer
Answer:
Hope this helps. If it doesn't then I apologize.
A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 will be selected?
a. X1 + X2 + X3 + X4 = 1
b. X1 + X2 + X3 + X4 = 1
c. X1 + X2 + X3 + X4= 1
d. X1 + X2 + X3+ X4= 0
Given:
A company wants to select 1 project from a set of 4 possible projects.
Consider the options are:
a. [tex]X_1+X_2+X_3+X_4=1[/tex]
b. [tex]X_1+X_2+X_3+X_4\leq 1[/tex]
c. [tex]X_1+X_2+X_3+X_4\geq 1[/tex]
d. [tex]X_1+X_2+X_3+X_4\geq 0[/tex]
To find:
The constraints that ensures only 1 will be selected.
Solution:
It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.
[tex]X_1+X_2+X_3+X_4=1[/tex]
Therefore, the correct option is (a).
Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = - ⅔ x + 3. (10 points)
A. y = 3 over 2x − 3
B. y = 3 over 2x + 3
C. y = -2 over 3 x + 23 over 3
D. y = -2 over 3 x - 23 over 3
Answer:
below
Step-by-step explanation:
that is the procedure above
PLEASE HELP!!!!!
In the formula CL% confidence interval • S what is Zest? O O A. 1 O B. 3 O c. 2 O O D. 4
Using the Empirical Rule, it is found that the critical value for a 68% confidence interval is given by:
A. 1.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, we want the 68% confidence interval, hence Zcl = 1 and option A is correct.
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Answer:
1
Step-by-step explanation:
1
Drag each value to the correct location on the box plot. Not all values will be used.
The heights, in centimeters, of 10 students are given in the table.
160
159
158.5 168
162
164.5
164
169
161
160.5
Sam creates a box plot for this data. Match the values to the correct locations on theplot.
169
161.5
160
159
162
164.5
168
158.5
Answer:
PUT THEM IN ORDER SO I CAN UNDERSTAND oh 56.86
will give BRAINLEST! See image attached below.
Answer:
See the image below for answer:)
Step-by-step explanation:
Answer:
B. (1 ± sqrt(33)) / 4
Step-by-step explanation:
the 2 solutions for a quadratic equation
ax² + bx + c = 0
are defined as
x = (-b ± sqrt(b² - 4ac)) / 2a
in our example here we have
a = -2
b = 1
c = 4
=>
x = (-1 ± sqrt(1 + 32)) / -4 = (1 ± sqrt(33)) / 4
as we can easily divide top and bottom by -1 to turn the -1 and -4 into positive numbers, and the second top part, the square root, is a ± factor anyway. just withing the sign dues not change the fact that is is still a ± factor (both signs apply).
and now it is clear, it has to be option B.
the others disqualify because they have either no division by any form of 4, or the "1" and the "4" have different signs. but our equation shows they need to have equal signs (either both negative or both positive).
Find two consecutive whole numbers that square root of 63 lies between
Given:
The number [tex]\sqrt{63}[/tex] lies between two whole numbers.
To find:
The two consecutive whole numbers.
Solution:
The perfect squares of natural numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ... .
The number 63 lies between 49 and 64.
[tex]49<63<64[/tex]
Taking square root on each side, we get
[tex]\sqrt{49}<\sqrt{63}<\sqrt{64}[/tex]
[tex]7<\sqrt{63}<8[/tex]
Therefore, the number [tex]\sqrt{63}[/tex] lies between two whole numbers 7 and 8.
Factor this polynomial.
-3x2 - 16x-5
A. (3x - 1)(x - 5)
B. (-3x + 1)(x + 5)
C. (3x + 1)(x - 5)
D. -1(3x + 1)(x+5)
Answer:
D. -1(3x + 1)(x+5)
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Help me please I NEED to pass this
OPTION C is the correct answer.
Hope it helps you.
Find the ratio please help :mathematics
Answer:
answer is 19:13 .............
The sum of two numbers is 90 and their ratio is 1/5.
What is the difference between the largest and the smallest of the two numbers?
a. 15
b. 18
c. 60
d. 75
e. 45
Answer:
C. 60
Step-by-step explanation:
1+5=6
90÷6=15
15 ×5=75
15×1=15
75-15=60
The difference between the largest and the smallest of the two numbers is 60.
We have given that,
The sum of two numbers is 90 and their ratio is 1/5.
What is the difference?
The difference is a key concept of philosophy, denoting the process or set of properties by which one entity is distinguished from another within a relational field or a given conceptual system
[tex]1+5=6\\90\6=15\\15 \times 5=75\\15\times 1=15\\75-15=60[/tex]
Therefore, The difference between the largest and the smallest of the two numbers is 60.
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tv originally cost $400 if the price of the TV increase by 15% what is the new price
Answer:
$460
Step-by-step explanation:
Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.
can someone please help ! :)
Answer:
the missing angle is easy. just remember the the sum of the 3 angles in a triangle is always 180°
then you calculate
180° - 90° - 35°
and get 55° for the last corner.
It is reported in USA Today that the average flight cost nationwide is $445.99. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually greater than $445.99. What are the appropriate hypotheses for this test
Answer:
[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]
[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]
Step-by-step explanation:
It is given the average cost of the flight nationwide is $ 445.99
I wanted to [tex]\text{perform the hypothesis test}[/tex] to determine that the true average is greater than $ 445.99
Let the hypothesis that the true average is actually greater than $445.99
Therefore,
the [tex]\text{null hypothesis}[/tex] for the test is :
[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]
And the alternate hypothesis is :
[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]
A plane owned by Fiji Link ATR72 has three engines—a central engine and an engine on each
wing. The plane will crash because it were within the occasion that the central engine fails and
one of the two wing engines fails. The probability of disillusionment in the midst of any given
flight is 0.004 for the central engine and 0.007 for each of the wing engines. Anticipating that
the three engines work independently, what is the probability that the plane will crash in the
midst of a flight?
what is the probability of throwing an odd number with a fair die
Answer:3/6 or 1/2
Step-by-step explanation::So a fair die has 6 sides so it would be soemthing out of 6 we know their 3 odd number on the die so that means it would be 3/6 or 1/2 that yu would land a odd number.
Use the distributive property to find a equivalent expression for 6(x+4)
Answer:
6x +24
Step-by-step explanation:
you factor out the 6 so 6x and 6*4 is 24
Mrs Gren baked a cake on her son's birthday and divided it into 12 pieces.
Serah
ate 1/3 of the cake and her son ate 1/4 of the cake.
2. How many pieces of the cake did Serah eat?
- How many pieces of the cake did her son eat?
What fraction of the cake was eaten?
What fraction of the cake was left?
Answer:
2
Step-by-step explanation:
it has 2 in the equation
What is the value of X
A. x=20
B. x=15
C. x=10
D. x=5
Camila sets up a passcode on her tablet, which allows only nine-digit codes. A spy sneaks a look at Camila's tablet and sees her fingerprints on the screen over nine numbers. What is the probability the spy is able to unlock the tablet on his first try
The probability the spy is able to unlock the tablet on his first try is P = 1/362880
Given that,
Camila sets up a passcode on her tablet, which allows only nine-digit codes.
And, A spy sneaks a look at Camila's tablet and sees her fingerprints on the screen over nine numbers.
Hence, the total amount of different sequences that can be built using 9 digits is:
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 362,880
Therefore, the probability the spy is able to unlock the tablet on his first try is,
P = 1/362880
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Need Help ASAP!!!!!!!!
Answer:
The last one the one with (-6,00) and Range (5,00)
The volume of a cone is 16 n cubic meters. What is the volume of Eylinder having
the same base and same height?
Answer:
it's the threefold (16 pi)
Step-by-step explanation:
if you look at the formula for each, you'll notice that the volume formula of the cone got an '*1/3' extra, so it's one third of the cylinders volume
(y=179x
(y=105x+2046
Solve using elimination method and graph plss
Helpppp
Answer:
[tex]x= \frac{2046}{74}\\\\y = \frac{366234}{74}[/tex]
Step-by-step explanation:
[tex]y = 179x\ ----- ( 1 ) \\\\y= 105x + 2046 \ ----- (2)\\\\[/tex]
[tex](1) => y - 179x = 0 \ ----- ( 3)\\\\(2) => y - 105x = 2046 \ ------ ( 4)[/tex]
[tex]( 3 ) - ( 4) =>\\\\(-179x +105x ) = 0 - 2046\\\\-74x = -2046\\\\x = \frac{2046}{74}[/tex]
[tex]Substitute \ x \ in ( 1 )\\\\y = 179x \\\\y = 179 \times \frac{2046}{74} = \frac{366234}{74}[/tex]
I NEED HELP PLZ THIS JS MY LAST QUESTION WILL MARL YOU
Answer:
-4
Step-by-step explanation:
60 + x + 124 = 180 degree (being linear pair)
x + 184 = 180
x = 180 - 184
x = -4
Answer:
x+124=180(linear pair angle)
x=56
i am confused between -4 and 56
I’m so confused plz help
Answer:
[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]
Step-by-step explanation:
[tex]18\frac{1}{2} =\frac{37}{2}[/tex]
[tex]4\frac{1}{4} =\frac{17}{4}[/tex]
[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]
Question 2.1
Solve the following problem. Round to one decimal place if
necessary. If your answer is correct you will see an image
appear on your screen.
Answer:
x = 5.3
Step-by-step explanation:
Reference angle (θ) = 24°
Opposite side to the reference angle = x
Adjacent side = 12
Apply TOA, which is:
Tan θ = Opp/Adj
Plug in the values
Tan 24° = x/12
12*Tan 24° = x
5.34274422 = x
x = 5.3 (approximated to one decimal place)
HELP ME WITH THIS PLSSS!!!
A circle has been divided into three equal angles. is each angle acute obtuse or right?
Answer:
obtuse
Step-by-step explanation:
A circle is 360 degrees
Divide by 3
360/3 =120
This is greater than 90 and less than 180 so it is obtuse
convert 122f to Celsius
Answer:
50°C
Step-by-step explanation:
(122°F − 32) × 5/9 = 50°C
he monthly sales of furniture stores in Dubai were collected and summarized. The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively. The distribution of the monthly sales is
symmetrical.
none of the above.
positively skewed.
negatively skewed.
Given:
The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively.
To find:
The distribution of the monthly sales.
Solution:
We know that,
For symmetrical distribution, mean is equal to median.
For positively skewed distribution, mean is greater than median.
For negatively skewed distribution, mean is less than median.
We have,
Mean of the monthly sales = 130,000 AED
Median of the monthly sales = 170,000 AED
Here, Mean is less than the median because 130,000 < 170,000.
Therefore, the distribution is negatively skewed. Hence, the correct option is D.