You pick a card at random. Without putting the first card back, you pick a second card at random

What is the probability of picking an odd number and then picking an even number?

The height of the building is approximately 86.60 meters.

To find the height of the building, we can use trigonometric ratios, specifically the tangent function.

In this scenario, the angle of elevation is 60 degrees, and the distance from the foot of the building to the point where the angle is measured is 50 meters.

Let's denote the height of the building as 'h'. According to trigonometry, the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case, the opposite side is the height of the building (h), and the adjacent side is the distance from the foot of the building (50 meters).

Using the tangent function, we have:

tan(60 degrees) = h/50

Simplifying this equation, we can solve for h:

h = 50 × tan(60 degrees)

Using a scientific calculator or trigonometric table, we find that tan(60 degrees) is approximately 1.732.

Therefore, h = 50 × 1.732 ≈ 86.60 meters.

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The given expression is:

It is required to simplify the product using the distributive property.

Apply the distributive property to the product:

Apply the distributive property again to simplify the expression on the right:

The answer is x²+2x-8.

Answer:

below

Step-by-step explanation:

Domain is the set of all x values a function can have

 this one goes from    - inf to the asymtope at x = 2

(-∞, 2)     domain

range is the y values the function can have

   looks like 0   to - inf

(- ∞, 0]       ( but it COULD be  ( -∞, 0)    <===cannot tell from graph)

Answer:1)52

2)13

3)22

Step-by-step explanation

The answer to each part is mentioned below -

Given is a kite TSVU as shown in the image.

{ 1 } -

UT = ST = 20

Perimeter of ΔSUT will be -

P = ST + TU + SU

P = 20 + 16 + 16 + 20

P = 72

{ 2 } -

Perimeter of ΔSUV will be -

P = SV + SU + VU

38 + 26 + VU = 102

VU = 38

ΔSUV ≅ ΔRUV

RU = SR = 16

{ 3 } -

ΔSUV ≅ ΔRUV

SR = RU

4x - 1 = x + 8

4x - x = 8 + 1

3x = 9

x = 3

SU = SR + RU

SU = 4x - 1 + x + 8

SU = 12 - 1 + 3 + 8

SU = 22

Therefore, the answer to each part is mentioned below -

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Answer:

9 square feet

Step-by-step explanation:

A = bh / 2

b = 3

h = 6

A = 6 * 3 / 2 = 9

Answer:D

Step-by-step explanation:

Answer:

$(8+14)

Step-by-step explanation:

Amount of money Warren has at first=$8+$14=$22

The calculated value of x from the intersecting secants is (b) 1.6

From the question, we have the following parameters that can be used in our computation:

intersecting secants

Using the theorem of intersecting secants, we have the following equation

a * b = c * d

In this case, we have

a = AE = 2

b = AB = 8

c = x

d = 10

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

2 * 8 = x * 10

Divide both sides by 10

x = 1.6

Hence, the value of x is 1.6

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Answer:

8

Step-by-step explanation:

8x - 4 = 60

8x = 60 + 4

x = 64/8

x = 8

The given differential equation, y'' - 2y' + y = x^2e^(-x), is a second-order linear homogeneous differential equation with variable coefficients.

In the differential equation, the term y'' represents the second derivative of y with respect to x, y' represents the first derivative of y with respect to x, y represents the function y(x), and x^2e^(-x) is a non-homogeneous term on the right-hand side of the equation.

To classify the differential equation, we can examine the coefficients of the derivatives. Since the coefficient of y'' is 1 (non-zero), and the coefficients of y' and y are -2 and 1 (non-zero), respectively, the equation is a non-constant coefficient homogeneous differential equation.

In summary, the given differential equation, y'' - 2y' + y = x^2e^(-x), is a second-order linear non-constant coefficient homogeneous differential equation with a non-homogeneous term on the right-hand side.


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Answer:

so you can know how long an objects size on the outside

Answer:

9 ounces.

Step-by-step explanation:

Answer:

12 ounces on the box

Step-by-step explanation:

l have tried

The graph of the rational function f(x) can be sketched with the following features: a zero at x = -2, a vertical asymptote at x = 1, and a hole at x = 3.

The graph of f(x) will show a point of discontinuity at x = 3 due to the hole, a vertical asymptote at x = 1, and a zero at x = -2. The function will not change sign at x = -2 but will change sign at x = 1 and x = 3. It will approach 0 as x approaches both negative and positive infinity.

A possible equation for f(x) can be written as f(x) = (x + 2)/(x - 3)(x - 1). The factor (x + 2) creates the zero at x = -2, (x - 3) creates the hole at x = 3, and (x - 1) creates the vertical asymptote at x = 1. The numerator ensures that the function does not change sign at x = -2.

The graph of f(x) obtained from the equation satisfies the described behaviors. The zero at x = -2 is present since (x + 2) is a factor. The vertical asymptote at x = 1 is created by the factor (x - 1). The hole at x = 3 is introduced by the factor (x - 3). The function does not change sign at x = -2 because the numerator is positive for x < -2. The limit as x approaches both negative and positive infinity is 0, which is consistent with the behavior described.

By examining the graph and equation of f(x), it is evident that the given behaviors of the function are satisfied, providing a convincing explanation of how the graph and equation align with the specified characteristics.

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Answer:

27.6%

Step-by-step explanation:

See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%.  (8/29)*(100%) = 27.6% to the nearest tenth.

first possibility

radius 4

height 5.97

second possibility

radius 6

height 2.66

Answer:

42.25π cm²

Step-by-step explanation:

To find the area of the circle, first find its radius.

Formulas needed

Given: circumference= 13π cm

2πr= 13π

Divide both sides by 2π:

\(r = \frac{13}{2} \)

r= 6.5 cm

Now, we can find the area by substituting r= 6.5 into the area of circle formula.

Area of circle

= πr²

= π(6.5)²

= 42.25π cm²

1. R = {(a, b, c): a, b, c are positive integers and a < b < c} ; 2. S = {(x, y): x is a multiple of y}

For the first relation R, we can see that it is an n-ary relation with n = 3. The condition a < b < c ensures that the triplets (a, b, c) are in increasing order. For example, (1, 2, 3) is a valid element of R, but (3, 2, 1) is not.

For the second relation S, we can see that it is a binary relation with n = 2. The condition x is a multiple of y means that for every pair (x, y) in S, x must be divisible by y. For example, (12, 2) is a valid element of S, but (5, 3) is not.

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A) approximately 87.9% of steers weigh over 1250 pounds, b) approximately 71.2% of steers weigh under 1200 pounds, c) approximately 22.5% of steers weigh between 1000 and 1100 pounds. Total of 150 words.

a) Over 1250 poundsTo find the percentage of steers that weigh over 1250 pounds, you need to calculate the z-score first.  The z-score formula is: `z = (x - μ) / σ`, where `x` is the weight in pounds, `μ` is the mean weight of the steers, and `σ` is the standard deviation of the weights.

Substituting in the values given, we get: `z = (1250 - 1152) / 84 = 1.17`.Using a standard normal distribution table, the area to the right of `z = 1.17` is 0.879, or 87.9%. Therefore, approximately 87.9% of steers weigh over 1250 pounds.b) Under 1200 pounds

To find the percentage of steers that weigh under 1200 pounds, you need to calculate the z-score again. `z = (1200 - 1152) / 84 = 0.57`.Using the same standard normal distribution table, the area to the left of `z = 0.57` is 0.712, or 71.2%.

Therefore, approximately 71.2% of steers weigh under 1200 pounds.c) Between 1000 and 1100 poundsTo find the percentage of steers that weigh between 1000 and 1100 pounds, you

need to find the area to the left of `z = (1100 - 1152) / 84 = -0.62` and the area to the left of `z = (1000 - 1152) / 84 = -1.71`.Using the standard normal distribution table, the area to the left of `z = -0.62` is 0.269, and the area to the left of `z = -1.71` is 0.044.

Therefore, the area between these two z-scores is 0.269 - 0.044 = 0.225, or 22.5%. Therefore, approximately 22.5% of steers weigh between 1000 and 1100 pounds.

Answer: a) approximately 87.9% of steers weigh over 1250 pounds, b) approximately 71.2% of steers weigh under 1200 pounds, c) approximately 22.5% of steers weigh between 1000 and 1100 pounds. Total of 150 words.

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68 68 70 61 67 71 63 67



Step 1: Write the formula of standard deviation

n = 8

Step 2: Find the mean

Step 3: find the standard deviation

Next, substitute to find the standard deviation

standard deviation = 3.14

Final answer

The number of data within the standard deviation of the mean = 5

The relationship between this item's rate and the rate for an item in class 100 is that the rate for a class 200 item will be at least 1.001 times higher than the rate for a class 100 item.

A system used by carriers to categorize items based on their density, stowability, handling, and liability is called the National Motor Freight Classification (NMFC). Each class indicates a range of CWT prices that the carrier will impose on the shipment of the goods.

The NMFC predicts that the rate for a class 200 item will be higher than the rate for a class 100 item. This is because class 200 objects tend to be denser and require more handling and space, which raises the cost of transportation. Carriers therefore charge more for class 200 items to be transported than for class 100 items.

To give you an idea of the range of rates per CWT, class 100 items have a rate of $5 or less, while class 200 items have a rate of $5.01 to $7.00 per CWT. Therefore, the rate for a class 200 item will be at least 1.001 times higher than the rate for a class 100 item.

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Answer:

x = 74 degrees

Hope that helps

Answer:

74

Step-by-step explanation:

2x+32=180

2x=148

x=74

Answer: Yes

Step-by-step explanation:

Yes, you can run different system voltages in the same conduit and boxes. The conductors must be rated for the highest voltage present and used on all circuits.

You need to get final payment for the cabinets before they enter the home. then bill for the installation the day of instillation and collect the check before you leave if possible

No, once installed they become part of the house, you can not remove the kitchen cabinets or any other cabinets that have been installed without the consent of the home owner in writing. if you are a good contractor why would you have to take the kitchen cabinets out of the house anyway. But if you have to you can take the doors.

If both parents are carriers of a recessive trait, the probability that all three children will have the normal phenotype is around 42.19%.

If both parents are carriers of a recessive trait, the probability that their children will have the normal phenotype can be determined using a Punnett square. Since both parents are carriers, their genotypes are heterozygous (Aa).

When we create a Punnett square, we see the following outcomes for their children's genotypes:
- AA (25%)
- Aa (50%)
- aa (25%)

To have a normal phenotype, the child must have either AA or Aa genotype. Therefore, the probability of one child having a normal phenotype is 75% (25% + 50%).

Now, to calculate the probability of all three children having a normal phenotype, we multiply the probabilities of each child:

0.75 × 0.75 × 0.75 = 0.421875, or approximately 42.19%.

So, the probability that all three children will have the normal phenotype is around 42.19%.

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Answer:

sure

Step-by-step explanation:

Answer:

hii

Step-by-step explanation:

If 7/9 of the box is green counters, and there are 24 yellow counters in the box, then there are 84 green counters .

Let's assume that the total number of counters in the box is x.

We are given that 7/9 of the box is filled with green counters, which means that the remaining 2/9 of the box must be filled with yellow counters. We are also given that there are 24 yellow counters in the box.

We can set up an equation to represent the relationship between the number of yellow counters and the total number of counters:

2/9 x = 24

To solve for x, we can multiply both sides of the equation by the reciprocal of 2/9, which is 9/2:

(2/9) x * (9/2) = 24 * (9/2)

x = 108

This means that there are a total of 108 counters in the box. To find out how many of these are green counters, we can use the fact that 7/9 of the box is filled with green counters:

(7/9) * 108 = 84

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We need the angle AOD to find the x value

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Missed data: ABCD is a QUADRILATERAL

'O'  is a point in the middle joining OA,OB,OC and OD , find the angle AOD  which is x here

Adding 3 angles we get 11x+22,

Equation is :

11x+22 + AOD = 360

=> AOD = 360 - 22- 11x

     AOD= 338- 11x  

We need the angle AOD to find the x value

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Answer:

  L

Step-by-step explanation:

You want to know how to express 50 in Roman numerals.

The symbols used to form Roman numerals are I, V, X, L, C, D, M. They have values 1, 5, 10, 50, 100, 500, 1000.

The symbol L is used to express the value 50 in Roman numerals.

The number 50 will be written as 'L' in roman numerals.

What are roman numerals?

The ancient number system known as roman numerals is still widely used today. To express the fixed positive numbers in roman numerals, alphabets are utilised. These roman numerals, which stand for 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively, are I, II, III, IV, V, VI, VII, VIII, IX, and X.

We are given number 50 which is to be resented in roman numerals.

The number is not represented by five Xs rather there is a special alphabet denoted for representing 50 which is 'L'.

Hence, the number 50 will be written as 'L' in roman numerals.

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Step-by-step explanation:

-4(-3x^2 - 6x)

= (-4)*(-3x^2) - (-4)(6x)

= 12x^2 + 24x