PLEASE HELP MARKING AS BRAINLIST!

Answer:

The correct answer is B, I took the test :)

You just turn the percentages into decimals

The probability distribution table is formed clearly in the answer part.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability for all the elements in the sample space can be shown in one table known as distribution table.

Suppose X be the event of choosing a major.

Then, its probability can be given as P(X).

Here, the percent value of a given event is equivalent to their probability.

It can be represented in the form of table as,

X (Major chosen by student)                              P(X) (Probability)

    Math                                                                    3% = 0.03

   Nursing                                                                22% = 0.22

  Psychology                                                           16% = 0.16

 Criminal justice                                                      11% = 0.11

   Business                                                              48% = 0.48

This table is known as the probability distribution table.

Hence, the probability distribution table is formed by calculating the probability for each of the events.

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Answer:

24

Step-by-step explanation:

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Answer:

P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.

Step-by-step explanation:

The simplified ratio of total marbles to red marbles is 27 to 8

In this question, we have the following parameters

Blue marbles = 24

Red marbles = 16

White marbles = 14

The above parameters mean that

Total marbles = sum of the individual marbles

Substitute the known values in the above equation, so, we have the following representation

Total marbles = 24 + 16 + 14

Evaluate

Total marbles = 54

The ratio is then represented as

Ratio = Total : Red

This gives

Ratio = 54 : 16

Simplify ratio

Ratio = 27 : 8

Hence, the simplified ratio is 27 : 8

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Answer:

280

Step-by-step explanation:

p stands for cans of pop. if each can of pop is 35, then you need to multiply 8 by 35

Answer:

k = 1 1/3

Step-by-step explanation:

Exact Form: 4/3

Decimal Form: 1.3

Mixed Number Form: 1 1/3

hope this helps <3

The z-score of the maximum value of the data-set is given as follows:

Z = 2.042.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

Using a calculator, the mean and the standard deviation of the data-set are given as follows:

\(\mu = 39.9167, \sigma = 10.8125\)

The maximum value is of X = 62, hence it's z-score is given as follows:

Z = (62 - 39.9167)/10.8125

Z = 2.042.

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The amount that should be deposited monthly is $286.66.

The monthly deposit is the periodic payment into an investment account that earns interest at a compound rate.

The monthly deposit can be determined using an online finance calculator.

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 6%

PV (Present Value) = $0

FV (Future Value) = $20,000

Results:

Monthly Deposit = $286.66

Sum of all periodic deposits = $17,199.36

Total Interest = $2,800.64

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Answer: (fog)(x) = f(g(x)) = f(6x) = 5(6x) = 30x

So (fog)(x) = 30x, which is a polynomial in simplest form

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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hello, to do this exercise, we need to know about the property of the existence of a triangle.

I will call the sides by "a" = 8 inches, "b" = 10 inches and "c" = unknown side

to exist, it has 2 rules:

- the lenght of one side must be less than the sum of the other two sides.

- the third size must be bigger than the absolute value of the difference of the other two sides.

If we put it in one inequation, we have:

Replacing "a" and "b" with the values we have:

So, the lenght of the third size can be any value between 2 and 18.

Solution: {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20}.

The factorized form of the equation is 3((3x + 10)(9x - 10) ) = 0.

The given quadratic equation is simplified as follows;

81x² + 180x - 200 = 100

Collect similar terms together;

81x² + 180x = 100 + 200

81x² + 180x = 300

81x² + 180x - 300 = 0

Factorize the equation by using a common factor;

3(27x² + 60x - 100) = 0

Factorize further as follows;

3(27x² + 90x - 30x - 100) = 0

3( 9x (3x + 10) - 10(3x  + 10) )= 0

3((3x + 10)(9x - 10) ) = 0

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Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

After doing some mathematical operations, we can conclude that Irene spends $24.05 on 6.5 gallons of gas.

So, the amount Irene spends on gas:

Then, the amount of 6.5 gallons of gas:

Therefore, after doing some mathematical operations, we can conclude that Irene spends $24.05 on 6.5 gallons of gas.

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Answer:

C

Step-by-step explanation:

All triangles come up to a 180 degrees so you can add and then subtract

Answer:

2(10^.5)

Step-by-step explanation:

d = ((x2 - x1)^2 + (y2 - y1)^2)^0.5

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

The correct matches are as follows:

15% of 30 ➔ 4.5

30% of 45 ➔ 13.5

60% of 72 ➔ 43.2

3% of 201 ➔ 6.03

Here is the correct matching of the percent amounts to their respective values:

15% of 30 ➔ 4.5

30% of 45 ➔ 13.5

60% of 72 ➔ 43.2

3% of 201 ➔ 6.03

To determine the values, we multiply the given percent amounts by their corresponding numbers.

For example, to find 15% of 30, we multiply 0.15 (which is the decimal form of 15%) by 30. The result is 4.5.

Similarly, 30% of 45 is obtained by multiplying 0.30 by 45, resulting in 13.5.

60% of 72 is calculated by multiplying 0.60 by 72, giving us 43.2.

Finally, 3% of 201 is obtained by multiplying 0.03 by 201, resulting in 6.03.

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a) The probability that it's raining but there is no is heavy traffic and the commuter is late is 0.24.

b) The probability that the commuter is late is equal to the 11/48.

c) The commuter arrived late one day, then the probability that it rained that day is 8/33.

We have, a data of certain town, it is rainy one fifth of the days. Bayes theorem says for any two events A, B with P(B)>0, the conditional probability of A given B is P(A|B) = P(A∩B)/P(B)

a) Let consider the events

R= rainy day

T= heavy traffic

L= one arrives late for work

P(R)=1/3, P(T|R) = 1/2, P(T|Rᶜ) = 1/4, P(L|(R∩T)) = 5/8

P(L|(Rᶜ∩Tᶜ)) = 1/8

We need to calculate the probability that it's raining but there is no is heavy traffic and the commuter is late, P(L|(R∩Tᶜ))

= P(L|(Rᶜ ∩T)) = 0.25

b) Probability that cummuter is late

P(L) = P(L|(Rᶜ∩T))P(Rᶜ∩T) + P(L|(R∩Tᶜ))P(R∩Tᶜ) + P(L|(R∩T))P(R∩T) + P(L|(Rᶜ∩Tᶜ))P(Rᶜ∩Tᶜ). Now, P(R)=1/3

P(T|R)=1/2, P(T∩R) = P(T|R)P(R)= 1/3 (1/2)=1/6

P(T|Rᶜ) = 1/4, P(Rᶜ∩T) = P(T|Rᶜ)P(Rᶜ)

= 1/4(2/3) = 1/6

Then P(R∩Tᶜ) = P(R) - P(R∩T) = 1/3 - 1/6

= 1/6

P(Rᶜ∩Tᶜ) = P((RUT)ᶜ) = 1 - P(RUT) = 1 – P(R) – P(T∩Rᶜ) = 1 - 1/3 - 1/6 = 1/2

So, P(L)=P(L|(Rᶜ∩Tᶜ))P(Rᶜ∩Tᶜ) + P(L|(R∩Tᶜ)P(R∩ Tᶜ) + \P(L|(Rᶜ∩T)) P(Rᶜ∩T)+ P(L|(R∩T)P(R∩T) = 0.25(1/6) + 0.25(1/6)+(1/2)1/6 + ( 1/8)(1/2) = 11/48

(c)we need to calculate, P(R|L)

P(L∩R∩T)=P(L|(Rᶜ∩T))P(Rᶜ∩ T)=1/2(1/6) = 1/

P(L∩R∩Tᶜ) = P(L|(R∩Tᶜ))P(R∩Tᶜ) = 0.25 (1/6)= 1/24

P(T) = P(T∩Rᶜ) + P(T∩R) = 1/6 + 1/6 = 1/3

P(R ∩L)=P(R∩ L∩ T)P(T)+P(R∩L∩Tᶜ)P(Tᶜ)

= 1/12(1/3) + 1/24(2/3) = 1/18

Now, P(R/L) = P(RL) /P(L) = 1/18 /11/48

= 8/33

Hence required probability is 8/33.

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(49,5), (19,10), (9,20), (4,50), (1,100) are the only pairs of positive integers (a,n) such that n is greater than 2 and a + (a + 1) + (a + 2) + ... + (a + n - 1) = 100.

In mathematics, an integer is a number that can be written without a fractional or decimal component.

To start, we can use the formula for the sum of an arithmetic series to find the value of n.

The formula for the sum of n terms in an arithmetic series is given by

=> S = n/2 (a + a + n - 1),

where a is the first term and n is the number of terms. Substituting the values from the problem, we have:

=> 100 = n/2 (2a + n - 1)

Expanding the right side, we get:

100 = n/2 (2a + n - 1)

Multiplying both sides by 2 and rearranging, we get:

200 = n (a + n/2)

Dividing both sides by n, we get:

a + n/2 = 200/n

Since n is an integer greater than 2, we know that n must divide 200. To find all possible values of n, we can use the divisibility rule for 2, which states that an integer is divisible by 2 if and only if its last digit is 0, 2, 4, 6, or 8. Thus, we can list all possible values of n as follows:

=> n = 2, 4, 5, 8, 10, 20, 25, 40, 50, 100

For each value of n, we can use the formula for a to find all possible values of a that satisfy the conditions of the problem. Substituting n = 2 into the formula for a, we get:

=> a + n/2 = 200/n

=> a + 1 = 200/2

=> a = 199/2

Since a is a positive integer, we see that a = 199/2 is not an integer, so the pair (a,n) = (199/2,2) is not a solution. Continuing this process for each value of n, we find the following pairs of positive integers (a,n) that satisfy the conditions of the problem:

=> (a,n) = (49,5), (19,10), (9,20), (4,50), (1,100)

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Answer:

1 = 4    or    1 cm : 4 km

Step-by-step explanation:

if 2 cm = 8 km

just divide 2 each side

1 = 4    or    1 cm : 4 km

Scale factor is 4 kilometer in 1 centimeter

Given that;

Distance around a lake = 8 kilometer

Map represent distance = 2 centimeter

Find:

Scale distance of map

Computation:

Scale distance of map = Distance around a lake / Map represent distance

Scale distance of map = 8 / 2

Scale distance of map = 4 km in 1 cm

So,

Scale factor is 4 kilometer in 1 centimeter

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Answer:

Have u answered it already or u want help or u want to be sure of the answer

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

Answer:

He bought 11 adult tickets.

Step-by-step explanation:

Adult tickets cost -$14

Children tickets - $6

Total spent - $160

REMEMBER : he bought 12 tickets , so we need to find a combination of 14 times a number and 6 times a number that equals 12 tickets.

14 x 11 = 154

6 x 1 = 6

154 + 6 = 160

11 adult tickets + 1 child ticket = 12 tickets total.

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;

$78,000

An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.

The annual salary of Winston as an accountant = $60,000

The amount Winston's financial asset generates = $4,000 per year

The cost of running the business = $8,000

The amount Winston earns as revenue = $150,000

Therefore;

Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000

The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business

The cost of running the business = $8,000

The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost

The total cost = $60,000 + $4,000 + $8,000 = $72,000

The economic profit = The total revenue - The total cost

Therefore;

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