Pls help ASAP
Give the domain and range

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

0% probability that 3 of them have insurance

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they have insurance, or they do not. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Twenty-percent (20%) of Americans have no health insurance.

This means that 80% have insurance, so \(p = 0.8\)

Randomly sample n = 15 Americans.

This means that \(n = 15\)

What is the probability that 3 of them have insurance? ​

This is \(P(X = 3)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{15,3}.(0.8)^{3}.(0.2)^{12} = 0\)

0% probability that 3 of them have insurance

(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.

(b) The algebraic expression, 5x -2  - (5x + 2) is simplified as -4.

The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.

The given algebraic expressions are;

-5x - 2 + 5x + 2

5x -2  - (5x + 2)

The first algebraic expression is simplified as follows;

-5x - 2 + 5x + 2

collect similar terms;

(-5x + 5x) + (-2 + 2)

= 0 + 0

= 0

The second algebraic expression is simplified as follows;

5x - 2 - (5x + 2)

= 5x - 2 - 5x - 2

collect similar terms;

= (5x - 5x) + (-2 - 2)

= 0 - 4

= - 4

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number 3 is correct

Step-by-step explanation:

smaller<bigger

Answer:

2 triangles, 180 for each triangle and 360 degrees in a square

Answer:

15.25 - 5.75 h

this my be it but i'm not shore

The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

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Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.

Answer:

Question:

Convert 291 dg to kg

Concept:

Using the conversion rate, we will have

By applying the conversion rate above, we will have that

Hence,

The final answer is

Answer: A = JIH

B = GJH

C = GH

D = 300

E = 60

Step-by-step explanation:

A) <JIH is a inscribed angle

B) GJH is a major arc

C) GH is a minor arc

D) m GH = m<GFh = 60

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Yes, it is possible for an object to have zero momentum. Momentum is defined as function the product of mass and velocity, so an object with zero mass or zero velocity will have zero momentum.

Momentum is a physical property of an object that is equal to the product of its mass and velocity. It is measured in kilogram meters per second (kg m/s) and is a vector quantity, meaning it has both magnitude and direction. In order for an object to have zero momentum, it must have either zero mass or zero velocity. An object with zero mass will always have zero momentum regardless of its velocity, while an object with zero velocity will only have zero momentum if its mass is also zero. An object with nonzero mass but zero velocity still has nonzero momentum if its mass is not zero. Therefore, it is possible for an object to have zero momentum.

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the complete question is

is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p) to explain

It is possible for an object to have No (Zero) momentum because Momentum is the product of mass and velocity, so the object with zero mass or zero velocity will have No momentum.

What is Momentum ?

The Momentum of an object is a vector quantity that is defined as the product of the mass and velocity , the unit of measurement if Kg m/s .

So , for the object to have No (zero) momentum, the object must have either zero mass or zero velocity. that means the object with zero mass will always have No (zero) momentum regardless of velocity of the object ,

whereas the object with 0 velocity will only have No (zero) momentum if the  mass is also 0 .

Therefore , By the Mathematical Definition of momentum , Yes , it is possible for the object to have No(zero) momentum .

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The APR of the credit card that has a monthly rate of 3.5% is 42%. The correct option is therefore;

B. 42%

The APR (Annual Percentage Rate) can be calculated from the monthly interest rate using the formula;

Monthly interest rate = APR/12

Therefore; APR = 12 × The monthly interest rate

The monthly interest rate charged by the credit card = 3.5%

The number of months in a year = 12

Annual percentage rate = The monthly interest rate × Number of months

Therefore, the annual percentage rate of the credit card = 3.5% × 12 = 42%

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Answer:

17 = e^2.8332

Step-by-step explanation:

Answer:

y = -3x + 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line

The probability of the sum of the numbers comes up on the facing dice add up to 3 while rolling two fair six sided dice is equal to ( 1/ 18).

As given in the question,

Number of six sided fair dice rolled = 2

Total number of outcomes of each dice = 6

Total number of outcomes of rolling two six sided fair dice = 36

Outcomes are:

( 1,1), (1,2)...(1,6),( 2,1), (2,2)...(2,6), ( 3,1), (3,2)...(3,6), ( 4,1), (4,2)...(4,6), ( 5,1), (5,2)...(5,6), ( 6,1), (6,2)...(6,6)

Sum of facing up dice add upto 3 are

( 1,2) , (2,1) only

Number of favorable outcomes = 2

Required probability = 2/36

                                = 1/18

Therefore, the required probability of the sum of facing up dice add upto 3 is equal to (1/18).

The given question is incomplete, I answer the question in general according to my knowledge:

Roll two fair 6-sided dice. what is the probability that the sum of the numbers on the dice facing up add up to 3?

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Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)

Answer:

yeah then the ans is 11

Step-by-step explanation:

.........

Answer:

15mg/ml

Step-by-step explanation:

Percent mass per volume ( % m/v) is unit expression that tells us how many grams of a solute that we can find 100 ml of a particular solution.

In the above question, we are asked to express 1.5%w/v Bepotastine besilate (BEPREVE) ophthalmic solution as mg/mL

Step 1

1.5% w/v = 1.5 g of Bepotastine besilate (BEPREVE) in 100ml ophthalmic solution

Hence, if

100ml = 1.5g

1 ml = y g

We Cross Multiply

100ml × yg = 1 ml × 1.5g

yg = 1 ml × 1.5g/100ml

= 0.015g

Therefore, in 1 ml we have 0.15 g.

Step 2

Since we are asked to express as mg/ml

We convert 0.015g to mg

1 gram = 1000 milligrams

0.015 grams =

Cross Multiply

0.015grams × 1000 milligrams/ 1 gram

= 15 mg

Therefore, the concentration in mg/ml of 15% m/v of Bepotastine besilate (BEPREVE) ophthalmic solution is 15mg/ml

Answer:

576 cm^2

Step-by-step explanation:

16^2 + 2 x 16 x 10

  256 + 32 x 10

    256 + 320

       = 576

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

For each corresponding pair of sides, the ratios for the two triangles are equal.

Step-by-step explanation:

plato

Answer:

Sample answer for Edmentum and Plato

Like and Rate!

Answer

Area of the hexagon is 374.12 square cm

Explanation:

Hexagon has 6 sides

Let n = number of sides

a = length of each hexagon

a = 12 cm

The area of a hexagon is given below

Therefore, the area of a hexagon is 374.12 square cm

Answer:

y = -1/4x + 1/4

Step-by-step explanation:

y = -1/4x + b

-1 = -1/4(5) + b

-1 = -5/4 + b

b = 1/4

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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Answer: Step-by-step explanation:

x+y=2 is liner y=-x+2

x2 + y2 = 9 is a circler with r=3 and center O(0;0)

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The probability that at least 8 patients show improvement is; 0.94

The formula for Binomial Probability Distribution is;

P(X = r) = nCr * p^(r) * (1 - p)^(n - r)

where;

n = number of trials

r = number of specific events you wish to obtain

p is  probability of success

From the question, we have;

n = 12

r = 8

p = 81% = 0.81

The probability that at least 8 patients show improvement is expressed as;

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)

Using online binomial probability calculator gives us;

P(X ≥ 8) = 0.11954 + 0.22649 + 0.28967 + 0.22453 + 0.07977

P(X ≥ 8) = 0.94

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