Tom rolls a fair dice and flips a fair coin.
What is the probability of obtaining a number bigger than 2 and a head?

Answer:

C. 15800 to spare

Step-by-step explanation:

All you have to do is add up the total money he has to spend  money, then you add up the total cost, and subtract the total money he has to spend by the total cost, and you're left with he has 15,800 left to spare. ;)

He should make a loan from the investors about 4.6%..

To determine the volume or chance of commodity in terms of 100, use the chance formula. Per cent simply means one in a hundred. With the chance formula, a number between 0 and 1 can be expressed. A number that's expressed as a bit of 100 is what it is. It's substantially used to compare and determine rates and is represented by the symbol.

Total quantum plutocrat Korey have

= Saving plutocrat heritage plutocrat

= $,500$,000

= $,500

Total quantum of charges

= Store Fixtures amount + Computer and Cash Register amount + Inventory  amount +Rent amount + Insurance amount

=  $2700 + $1200 + $17400 +$10800 + $3000

= $35100

So, Fund taken through loans and investor

= Total quantum of charges -Total quantum plutocrat Korey have

= $ 35100-$ 33500

= $ 1600

and, the percentage is

= 1600 x 100 / 35100

= 4.6%

He should make a loan from the investors about 4.6%.

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Answer:

No , they are not

Step-by-step explanation:

Checking the ratios:

32/48 = 0.67

48/80 = 0.6

80/150 = 0.53

Since the values are not equal, they are not in proportion.

Answer:

32, 48, 80, and 150 are not in proportion.

Step-by-step explanation:

To determine if 32, 48, 80, and 150 are in proportion, we need to check if the ratio of any two numbers is equal to the ratio of any other two numbers in the set.

Let's check:

Ratio of 32 to 48: 32/48 = 2/3

Ratio of 48 to 80: 48/80 = 3/5

Ratio of 80 to 150: 80/150 = 8/15

Since the ratios are not equal, 32, 48, 80, and 150 are not in proportion.

Answer:

Domain: x : {5, 10, 15, 20)

Range: y : {-3, -1, 1, 3}

Step-by-step explanation:

The domain is the x-coordinates.

The range is the coordinates.

In point (5, 1), the x-coordinate is 5 while the y-coordinate is 1.

^^Now using this, we can figure out the domain and range:

Domain: x : {5, 10, 15, 20)

Range: y : {1, 10, -3, -1}  ==> wait this isn't in order

We can fix the order:

Range: y : {-3, -1, 1, 3} ==> this is better

Domain: x : {5, 10, 15, 20)

Range: y : {-3, -1, 1, 3}

Answer:

235

Step-by-step explanation:

Multiply: 47 times 100=4700

Divide: 4700 divided by 20=235

Hope this helped!! :)

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The distance between X and Y is the difference between the longitude of X and the longitude of Y, plus the radius of the Earth is 6400 km.

Longitude of X = 114 degrees

Longitude of Y = 118 degrees

Difference = 118 degrees - 114 degrees = 4 degrees

Radius of the Earth = 6400 km

Distance between X and Y = 4 degrees + 6400 km = 6404 km

Round the distance to the nearest 100 km.

6404 km = 6400 km (rounded to the nearest 100 km)

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Answer:

time = 70 minutes

As a result, the mean would be approximately **15.87** inches. The solution is **B**.

The mean would decrease in value to about 17.1 inches.

The mean in mathematics is a measurement of a set of numbers' central tendency. The average is another name for it. A set of numbers are added together to determine the mean, which is then divided by the total number of values in that set.

The sum of a collection of integers divided by the total number of values in the set yields the mean of the set.

12 + 14 + 15 + 15 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25 = **225** is the total height of the 14 plants.

Rounding to two decimal places, the mean height of these plants is 225/14, or **16.07** inches.

The revised sum of heights would be **238** if an additional plant with a height of 13 inches were to be included in the data.

238/15 = **15.87** inches (rounded to two decimal places) would be the new mean height.

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Impactation in the mean is B)The mean would decrease in value to about 17.1 inches.

Defining Mean?

The mean in mathematics is a measurement of a set of numbers' central tendency. The average is another name for it. A set of numbers are added together to determine the mean, which is then divided by the total number of values in that set.

The sum of a collection of integers divided by the total number of values in the set yields the mean of the set.

=>12 + 14 + 15 + 15 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25 = **225** is the total height of the 14 plants.

Rounding to two decimal places, the mean height of these plants is

=> 225/14, or **16.07** inches.

The revised sum of heights would be **238** if an additional plant with a height of 13 inches were to be included in the data.

=> 238/15 = **15.87** inches (rounded to two decimal places) would be the new mean height.

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This is the answer to your problem

The rate of change of the area when the radius is 2 centimeters is 32π square centimeters per minute.

To find the rate of change of the area of a circle with respect to its radius, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius.

We are given that the radius is increasing at a rate of 8 centimeters per minute, so we can express this as dr/dt = 8 cm/min.

To find the rate of change of the area when the radius is 2 centimeters, we need to differentiate the area formula with respect to the radius:

dA/dt = d/dt (πr²)

Using the chain rule, we have:

dA/dt = dA/dr * dr/dt

Since we want to find the rate of change of the area when the radius is 2 centimeters, we substitute r = 2 into the derivative:

dA/dt = dA/dr * dr/dt = (π(2)²) * 8 = 4π * 8 = 32π

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Answer:

your answer is, A Population: soccer team, Sample: starting eleven player.

Step-by-step explanation:

I just took the test.

The population and the sample in the situation below is a Soccer team and starting eleven players respectively.

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive.

Given, The coach wants to know which uniform the soccer team wants to wear, but he only asks the starting eleven players.

Since A population is an entire group that you want to draw conclusions about. A sample is a specific group that you will collect data from. The size of the sample is always less than the total size of the population.

and The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment.

Thus in our case,

Population: soccer team

Sample: starting eleven players

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Answer:

x = 10, -4

Step-by-step explanation:

(x – 3)² = 49

x - 3 = √49

x - 3 = ± 7

x = 10, -4

Looking at options,  10 and -4 is the answer.

Answer: If you have 80% of 5 it would be 4 if you have 120% its six

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

The answer is 1=5% so 5 × 16 = 80

some cause there are usually two in a expressions

The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

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There are 16807 number of ways the passengers to be assigned a floor and there are 2520 number of ways the passengers to be assigned a floor but no two passengers are on the same floor.

Given that an elevator starts with five passengers and stops at the seven floors of a building.

From the given information, the total number of floors n=7.

The number of passengers r = 5.

(a) Compute the number of ways that 5 passengers can be assigned to seven floors.

Here, repetition is allowed.

From the known information, if r numbers are selected from n number of observations then the total number of observations that can be drawn from n number of observations is \(n^r\).

If 5 passengers can be assigned to seven floors is 7⁵ = 16807.

(b) Compute the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor.

Here, repetition is not allowed.

If 5 passengers can be assigned to seven floors but no two passengers are on the same floor is 7x6x5x4x3 = 2520.

Hence, the number of ways that 5 passengers can be assigned to seven floors is 16807, and the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor is 2520.

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(a) By simplifying the trigonometric , we find that\(f(0) = (-1 + 5cos(2θ))/2\), which is equal to \((-1/2)cos(2θ)\). (b) Taking the derivative of f(θ) with respect to θ, we find that f'(0) = 0.In summary, f(0) is equal to (-1/2)cos(2θ), and the derivative of \(f(θ) at θ = 0 is 0\).

(a) By using the trigonometric identity, we can demonstrate that f(0) = (-1/2)cos(2).cos(2 ) = cos(2 ) - sin(2 ).

Let's replace f(0) with this identity in the expression:

f(0) = (4cos2 - (3sin2)

f(0) is equal to 4(cos2 - sin2)

f(0) = 4cos2, 4sin2, and sin2.

F(0) = 4 (cos2 - sin2 + sin2)

f(0) = 4cos(2), plus sin2

We can rephrase the expression as follows using the identity cos(2) = cos2 - sin2:

\(f(0) = 4cos(2), plus sin2(-1/2)cos(2 + sin2 = f(0)\)

As a result, we have demonstrated that \(f(0) = (-1/2)cos(2).\)

(b) We can calculate the derivative of f() with respect to to get the precise value of d/d [f()].

f(x) = cos(-1/2) + sin2

If we take the derivative, we obtain:

F'() is equal to \((1/2)sin(2) plus 2sin()cos().\)

We change = 0 into the derivative expression after evaluating f'(0):

\(F'(0) = 2sin(0)cos(0) + (1/2)sin(2*0)\)

f'(0) equals (1/2)sin(0) plus (2.0*0*cos(0)

f'(0) = 0 + 0

Consequently, f'(0) has an exact value of 0.

In conclusion, the

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Answer:

If its supposed to be simplify it will be -7 . If your finding the derivative it is 0.

Step-by-step explanation:

The coordinates of B is (-2, -6)

The formula to determine the midpoint of a straight line using the coordinates of its endpoints is known as the midpoint formula in coordinate geometry.

The formula is of the form

X= (x₂ + x₁)/2

Y = (y₂ + y₁)/2

From the formula the coordinates of B is solved knowing that midpoint is

M (3,-1) and A is (8,4) and say B (x₁, y₁)

3 = (8 + x₁)/2

6 = 8 + x₁

x₁ = -2

-1 = (4 + y₁)/2

-2 = 4 + y₁

y₁ = -6

hence B is (-2, -6)

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The inequality that represents the maximum number of each type of book that can be shipped in a single box is B. 3.2x + 0.8y ≤ 50

Inequalities are created through the connection of two expressions. It should be noted that two expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤ 

Let the maths book be x.

Let the workbook be y.

The inequality will be:

(3.2 × x) + (0.8 × y) ≤ 50

3.2x + 0.8y ≤ 50

In conclusion, the correct option is B.

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Answer:

3

Step-by-step explanation:

12÷4=3, so they are 3 inches apart

Answer: 6 hours

Step-by-step explanation:

The question asks how long until they meet.

First, you add 1.5 miles per hour and 2 miles per hour to get 3.5 miles per hour.

Then you divide 21/by 3.5 which gets you how many hours it takes for them to meet.

Which means 21/3.5 is 6 hours.

Answer:

steps below

Step-by-step explanation:

a,b in 2nd quadrant: sine is positive and cosine is negative

sin a = 3/4      cos a = -√7/4

cos b = -12/13    sin b = 5/12

sin(a+b) = sin a cos b + cos a sin b

             = 3/4*(-12/13) + (-√7/4)*(5/12)

             = - 9/13 - (5√7/48)

             = -0.9679

cos(a-b) = cos a cos b + sin a sin b   (can you try yourself?)

Answer:

-1/3

Step-by-step explanation:

m = y2-y1/x2-x1                     formula for slope

m = 7-9/8-2                          Plug in the numbers

m = -2/6                                Subtract 7-9 and 8-2

m = -1/3                                 Simplify

The equation is 1.67 + 24x = 31.19.

The binary representation of 5,318,008 is 10100010010010101111000, whereas the binary representation of 73 is 1001001.

We notice that 73 is a binary palindrome while 5,318,008 is not, therefore we conclude that the best number is 73 and the answer is a.

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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