In a sample of 400 students, 60% of them prefer eBooks.

A.Find 98% Confidence Interval for the proportion of all students that prefer ebooksb.

b. Find the margin of erro

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)

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).

OPTION C is the correct answer.

Hope it helps you.

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]

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

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.

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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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]

Answer:

The last one the one with (-6,00) and Range (5,00)

Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

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.

Using the Empirical Rule, it is found that the critical value for a 68% confidence interval is given by:

A. 1.

It states that, for a normally distributed random variable:

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

Answer:

PUT THEM IN ORDER SO I CAN UNDERSTAND oh 56.86

Answer:

answer is 19:13 .............

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

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

Answer:

below

Step-by-step explanation:

that is the procedure above

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.

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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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.

Answer:

2

Step-by-step explanation:

it has 2 in the equation

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]

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.

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.

Answer:

D.  -1(3x + 1)(x+5)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

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.

Answer:

6x +24

Step-by-step explanation:

you factor out the 6 so 6x and 6*4 is 24

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).

Answer:

Hope this helps. If it doesn't then I apologize.