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I need answer ASAP!

The probability that exactly four of the selected students have cellular phones is approximately 0.324 or 32.4%.

The binomial probability formula can be used to determine the likelihood that exactly four of the chosen pupils own cell phones. The formula is given by:

P(X = k) = \((nCk) * (p^k) * (q^(n-k))\)

Where:

The likelihood of exactly k successes is P(X = k).

n is the total number of trials or students selected,

k is the number of successes (four students with cellular phones),

p is the probability of success (proportion of students with cellular phones),

q is equal to the likelihood of failure (1 - p).,

nCk is the number of combinations of n items taken k at a time.

In this case, n = 6 (since the principal is selecting six students), k = 4, p = 0.7 (proportion of students with cellular phones), and q = 1 - p = 1 - 0.7 = 0.3.

Now we can calculate the probability:

P(X = 4) = \((6C4) * (0.7^4) * (0.3^(6-4))\)

First, calculate (6C4):

(6C4) = 6! / (4! * (6-4)!) = (6 * 5 * 4 * 3 * 2 * 1) / ((4 * 3 * 2 * 1) * (2 * 1)) = 15

Now, plug in the values:

P(X = 4) = \(15 * (0.7^4) * (0.3^2)\) = 15 * 0.2401 * 0.09 = 0.324135

Therefore, the probability that exactly four of the selected students have cellular phones is approximately 0.324 or 32.4%.

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Answer: same bro

Step-by-step explanation:

Answer:

So basically the hypotenuse will be the side directly opposite from the right angle (the square marked on the triangle), it will always be the longest side

the "opposite" will be the side directly across from the curved angle marked

the "adjacent" will be the side that the curved angle touches, i.e. the one "next to it"

hope this helped!

Step-by-step explanation:

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The two systems would differ by approximately 25 days after 100 years.

To calculate the difference between the solar year and the calendar year after 100 years, we need to consider the impact of leap years.

In the calendar system, every fourth year is a leap year, which means an additional day (February 29th) is added to the year. This accounts for the extra 0.2422 days in the solar year.

To find the number of leap years in 100 years, we divide 100 by 4: 100 / 4 = 25 leap years.

Therefore, in 100 years, there will be 25 additional days added in the calendar system to account for the extra time compared to the solar year.

This calculation assumes a simplified leap-year rule that doesn't account for some exceptions. For instance, every year divisible by 100 is not a leap year unless it is also divisible by 400. These exceptions help further align the calendar with the solar year.

Considering the simplified calculation, the two systems would differ by approximately 25 days after 100 years.

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To find the probability distribution for Y, the number of errors detected by the auditor, we can use the binomial distribution formula. The binomial distribution is used when there are only two possible outcomes, success or failure, and each trial is independent.

In this case, the probability of success (detecting an error) is 5% or 0.05, and the probability of failure (not detecting an error) is 1 - 0.05 = 0.95.

a. To find the probability distribution for Y, we can use the formula for the binomial distribution:

P(Y = y) = (nCk) * p^k * (1-p)^(n-k)

where n is the number of trials (3 in this case), k is the number of successes (errors detected), p is the probability of success (0.05), and (nCk) is the combination formula.

For y = 0:
P(Y = 0) = (3C0) * (0.05)^0 * (0.95)^(3-0) = (1) * (1) * (0.95)^3 = 0.857375

For y = 1:
P(Y = 1) = (3C1) * (0.05)^1 * (0.95)^(3-1) = (3) * (0.05) * (0.95)^2 = 0.135375

For y = 2:
P(Y = 2) = (3C2) * (0.05)^2 * (0.95)^(3-2) = (3) * (0.05)^2 * (0.95)^1 = 0.007125

For y = 3:
P(Y = 3) = (3C3) * (0.05)^3 * (0.95)^(3-3) = (1) * (0.05)^3 * (0.95)^0 = 0.000125

So the probability distribution for Y is:
Y = 0 with probability 0.857375
Y = 1 with probability 0.135375
Y = 2 with probability 0.007125
Y = 3 with probability 0.000125

b. To construct a probability histogram for p(y), you can create a bar graph where the x-axis represents the number of errors detected (Y) and the y-axis represents the probability (P(Y = y)). Each bar will have a height corresponding to the probability.

c. To find the probability that the auditor will detect more than one error, we need to calculate the sum of the probabilities for Y = 2 and Y = 3:

P(Y > 1) = P(Y = 2) + P(Y = 3) = 0.007125 + 0.000125 = 0.00725

Therefore, the probability that the auditor will detect more than one error is 0.00725.

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Answer: Alexis is 1.4224 meters tall.

Step-by-step explanation:

If you want your answer rounded, it's 1.4 meters. I hope this helped you! Brainilist is highly appreciated and helpful! <3

Answer:

B

Step-by-step explanation:

1) There are 12 inches in a foot.

2) 18 inches minus 12 inches = 6 inches.

3) You have you your 1 foot and 6 inches which is 1/2 a foot.

4) 1 1/2 feet

Answer:

IS B)1 1/2 IM DOING THE TEST NOW AN I HATE IT

Step-by-step explanation:

Answer:$

$3.97

Step-by-step explanation:

Answer:

$3.48+9¢=$3.57

Step-by-step explanation:

i added 48 cents to 9 cents

Answer:

$4.00/square inch × 8 inches × 10 inches = $320

The following bit vector represents a disk where blocks 1,5,8,11,14 are free, and the rest is allocated is False.

What is Bit-Vector?

Bits are stored in a bit array, which is a type of array data structure. An easy set data structure can be implemented using it. Bit-level parallelism in hardware can be quickly used by a bit array to perform operations.

When files are generated, the system allots space for them by keeping track of the free disk blocks. Additionally, free space management becomes essential in order to utilise the space freed up by deleting the files.

The system keeps track of the disk blocks that are not assigned to any files or directories in a list called free space. Implementing the free space list primarily entails:

A bitmap or bit vector is a sequence or group of bits, where each bit stands for a disk block. The bit has two possible values: 0 and 1: 0 means the block is allocated, and 1 means the block is free.

A bitmap of 16 bits can be used to represent the given instance of disk blocks on the disk in Figure 1 (where green blocks are allocated) as 0000111000000110.

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Answer:

the answer is B because 3(x-2) is the same as 3x -2

Answer:

(-6127) + 0 = (-6127)

(+18) + 2 = (+20)

(+27) - 7 = (+20)

(+63) + (-13) = (+50)

(+21) - 4 = (+17)

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Trust me bro

The inequality equation is mathematically given as |x + 2| < 3. Then the correct option is A.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The value of x is greater than negative five and less than one that can be represented as

-5 < x < 1

Add 2 on each side, then we have

-3 < x + 2 < 3

Then operate the mode function, then we have

|x + 2| < 3

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The annual premiums for the following $250,000 Sun-Belt life insurance policies are:

The annual premiums for the following $250,000 Sun-Belt life insurance policies are as follows:

a. A 10-year life insurance policy purchased by a 30-year-old male would cost $36 x 12 = $432 per year.

b. A 20-year term policy for a 40-year-old female would cost $60 x 12 = $720 per year.

c. A 10-year term life insurance policy for a 40-year-old male would cost $51 x 12 = $612 per year.

d. A 20-year term life insurance policy for a 50-year-old female would cost $x x 12 = $12x per year.

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Answer:

$10

Step-by-step explanation:

80.05/8 friends

=10.00625

=$10

The value of sin(π/6) is 0.50.

Trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the triangle DEF

and ∠E = π/6

converting the radian to the degree,

for conversion put π = 180°

π/6 = 180/6

π/6 = 30°

to find sin(π/6)

sin(π/6) = sin30 = 1/2

sin(π/6) = 0.50

Hence value for the condition is 0.50.

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Here, the partial fraction decomposition of the rational expression. The given expression is (7x - 4) / (x(x^2 + 6)^2). To write the form of the partial fraction decomposition, we first identify the factors in the denominator and their powers. In this case, we have x and (x^2 + 6).

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions. To decompose a fraction, you first factor the denominator. "Partial-Fraction Decomposition: General Techniques."
The form of the partial fraction decomposition is:
(7x - 4) / (x(x^2 + 6)^2) = A / x + B / (x^2 + 6) + C / (x^2 + 6)^2
Here, A, B, and C are constants that we would determine if we were to solve the decomposition. However, as requested, we will not solve for these constants.

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29/32

Step-by-step explanation:

ng x value 32wrffddfddfffryufcjhfddxhjhddxffdssdtt

Answer: The correct answer is that each construction worker built 3/7 of (each) shed. Or 0.429 of (each) shed.

Step-by-step explanation: This is correct because you would do 3 / 7 = 3/7. You would do the amount of sheds they built, divided by the number of workers that build it. They built a shed about every 3 days. Or 3 1/3 days to be exact.

Answer:

$1.50

Step-by-step explanation:

let b be the number of turkey burgers and w be the number of bottles of water.

\(2b + w = 3.25\\3b + w = 4.50\)

becomes

\(3b + w = 4.50\\- (2b + w)=3.25\)

\(b = 1.25\)

substitute this into one of the original equations:

\(3b + w = 4.5\\3 * 1.25 + w = 4.5\\3.75 + w = 4.5\\w = 0.75\)

two bottles of water equals 0.75 * 2 = 1.50

Answer:

Ans. is -10. Explanation is in the attachment.

y = x is a linear function

y = x³ is a cubic function

y = x⁵ is a 5 power polynomial function.

A relationship that has one output for each input value (x-value) is called a function (y-value). All functions are hence relations. However, not all relationships are functions since not every relationship will satisfy the condition that every distinct input generates just one output.

Check to see if there is a horizontal asymptote or an oblique asymptote by comparing the degrees of the numerator and denominator to the function's end behavior. Plot the asymptotes that are horizontal or oblique.

The Properties of the graph y = x are :

The Properties of the graph y = x³ are :

The Properties of the graph y = x⁵ are :

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Answer:

x + 4 OR 1x + 4

Hope this helps, thank you !!

Answer: $15.6

Step-by-step explanation:

Sanita pays $63 for 5 posters that are $3 off each, if you divide 63 by 5 you will get $12.6, so you have to add $3 to $12.6 to get 15.6 which was the original price of one poster.

The regular price of one poster $15.6

Sanita pays $63 for 5 posters that are $3 off each.

Regular price means the price at which similar goods or services are regularly sold on the market.

If she divide 63 by 5 she will get $12.6

Therefore  we have to add $3 to $12.6 to get 15.6

It was the original price of one poster.

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Step-by-step explanation:

Since the sequence is linear, we start by finding the difference between any term and the following one:

16 - 12 = 4

Now we multiply the difference by n:

4n

Since 4n for the first number in the list is 8 too low, we calibrate the equation accordingly:

4n + 8

We can check this against any number in the sequence and it will give the same value, so we have out answer.

This is the same process used to work out any nth term which is linear.

nth term = 12 + 4(n-1)

Simplifying further:

nth term = 12 + 4n - 4

Combining like terms:

nth term = 4n + 8

Hence, the expression for the nth term of the sequence 12, 16, 20, 24, 28 is 4n + 8.

I Can Make it Simpler If you want , Just ask me In The Comments

""Ahmed Mansur"

The bearing of C from A is 90 degrees when B is equidistant from A and C.

In navigation and geometry, bearing refers to the direction or angle between two points, measured clockwise from a fixed reference direction. Typically, bearings are measured in degrees, with 0 degrees indicating a direction due north, 90 degrees indicating a direction due east, 180 degrees indicating a direction due south, and 270 degrees indicating a direction due west. Bearings can be expressed as either magnetic bearings or true bearings, depending on the reference direction used.

Let's assume that the distance from B to A and from B to C is the same.

To find the bearing of C from A, we can use the fact that the interior angles of a triangle sum up to 180 degrees. Therefore, we can first find the bearing of A from C:

180 - 129 = 51

This means that the bearing of C from A is 51 degrees in the opposite direction of the bearing of A from C. Since the bearing of A from C is 219, the bearing of C from A is:

219 - 180 + 51 = 90 degrees

Therefore, the bearing of C from A is 90 degrees.

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To solve for e in the equation 5.16 = 4e, we need to isolate e on one side of the equation.

We can start by dividing both sides of the equation by 4:

5.16/4 = (4e)/4

1.29 = e

Therefore, 5.16 = 4e is equal to e = 1.29.

Answer:

Step-by-step explanation:

Answer:

Interest rates is equal to 23%

Answer:

It looks different. Can you provide some formulae based on it. I may help you out in the comment section!

The diameter of the circle is 48 in.

A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also known as an arc) and two of its radii meet, a sector is produced. A sector of a circle resembles a piece of pizza or a pie in shape.

As per the given data:

Central angle of the sector (θ) = 30°

Area of the sector (A) = 150 in²

A = (1/2) × r² × θ {where θ is in radian and r is radius}

Converting 30° to radian.

= 30 × (π/180)

= π/6

150 = (1/2) × r² × π/6

r = √(1800/π)

r = √(576)

r = 24 in

Diameter = 2r

= 2 × 24 in

= 48 in

Hence, the diameter of the circle is 48 in.

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