consider a standard deck of 52 cards. what is the probability of a card being black given it is a queen?

Answer:

\(\frac{16}{25}\) x \(\frac{4}{4}\) = \(\frac{64}{100}\) = 64%

Step-by-step explanation:

Answer:

1-73,40,015 your answer

To calculate John's BMI, we need to use the formula BMI = weight (kg) / height (m)^2. When we calculate this, we get a BMI of 36.1.

First, we need to convert John's height and weight to the metric system. His height is 1.75 meters and his weight is 110.5 kilograms.
Next, we can plug those values into the formula: BMI = 110.5 / (1.75)^2.
According to the Centers for Disease Control and Prevention, a BMI of 30 or above is considered obese. Therefore, John falls into the obese category based on his BMI.
It's important to note that BMI is just one measure of health and does not take into account muscle mass or other factors that can affect weight. It's always best to speak with a healthcare professional to determine a healthy weight and lifestyle plan.

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Step-by-step explanation:

equal because of the 8+7

Answer:

x \geq -6

Step-by-step explanation:

2x+4 \geq -8

    -4       -4

2x \geq -12

/2        /2

x \geq -6

To compare the prices and determine which material offers better value, Chris needs to consider several factors beyond just the price. Here are some key points to consider:

Quality: Compare the quality of the materials offered by both stores. Sometimes, a higher-priced material may offer better quality, durability, or performance, making it a better value in the long run.

Quantity: Check the quantity or size of the materials available for the price. If one store offers a larger quantity or size for a slightly higher price, it might be a better value as it provides more material for the money.

Features: Look for any additional features or benefits offered by the materials. For example, if one material includes extra accessories or tools at a slightly higher price, it may be a better value due to the added value and convenience.

Customer reviews: Research online or ask for recommendations from others who have used the materials from both stores. Their experiences and feedback can provide insights into the overall value and performance of the materials.

By considering these factors, Chris can make an informed decision and choose the material that offers the best overall value for her art project.

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The measure of angle ADC in quadrilateral ABCD is 115 degrees. The kite has congruent sides AB = CD and perpendicular diagonals.

Since AB = CD, we have two pairs of congruent sides, AB = CD and AD = BC, which means that the quadrilateral ABCD is a kite.

In a kite, the diagonals are perpendicular and one of the diagonals bisects the angles at the vertices where it meets the kite.

So, we draw the diagonal AC and use the fact that it bisects the angle ADC to find the measure of angle ADC. Let x be the measure of angle ADC. Then, we know that angle BAC is also x, since the diagonals of a kite are perpendicular.

Since angle BAC + angle BAD + angle DAC = 180 degrees (the sum of the angles in a triangle), we have:

x + 115 + (180 - 2x) = 180

Simplifying and solving for x, we get:

x + 115 + 180 - 2x = 180

295 - x = 180

x = 115

Therefore, the measure of angle ADC in quadrilateral ABCD is 115 degrees.

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_____The given question is incomplete, the complete question is given below:

In quadrilateral abcd, angle bad = 115  and AB=CD, What is the measure of adc in quadrilateral abcd? 45° 65° 115° 135°

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

Answer:

7/20

0.35

35%

Step-by-step explanation:

12 year olds: 40%

12 year olds: 25%

11 year olds: 100% - 40% - 25% = 35%

35% = 35/100 = 7/20

35% = 0.35

35% = 35%

If a hypothesis test is significant at level α = 0.05, then the P-value is less than or equal to 0.05 or P-value ≤ 0.05.

The P-value is a measure of the strength of the evidence against the null hypothesis. It is the probability of obtaining a test statistic at least as extreme as the one observed, assuming that the null hypothesis is true. If the P-value is less than or equal to the significance level α, it means that the observed evidence is unlikely to have occurred by chance under the null hypothesis, and we can reject the null hypothesis in favor of the alternative hypothesis.

For example, if the P-value of a hypothesis test is 0.03, it means that there is a 3% chance of obtaining the observed test statistic (or a more extreme one) if the null hypothesis is true. Since this is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.

Hence, if a hypothesis test is significant at level α = 0.05, then P-value ≤ 0.05.

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Answer:

let Cedric's age be c

tyshon= 3c-3

3c-3 +c =3c+c-3 = 4c-3

4c-3=57

4c=60

c=15

tyshon=15×3-3 = 42

Answer:

16

Step-by-step explanation:

57dvied by 3 -3=16

The length in dimension w of a right prism is approximately equal to 8.805 units.

In this question we must find the dimensions of a right prism with a rectangular base, whose volume formula is introduced below:

V = h · l · b

Where:

According to statement, we find the following conditions: h = w, l = b = 0.75 · w, V = 384, then we expand the previous formula as follows:

384 = w · (0.75 · w)²

384 = 0.5625 · w³

Finally, we clear the value of w by algebra properties:

w ≈ 8.805

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The two angles have the same measure because the skew lines are parallel. The measure is 144°

Here we need to remember that when two angles are adjacent in an intersection, then the measures must add up to 180°.

Now notice that the two angles that are skewed are parallel (because the notation on them).

Then all the angles formed in the two intersections have the same measure.

And remember that vertical angles (angles that only meet at the vertex) have the same measure.

Notice that f and g would be vertical angles, taht is why the measure is the same, and the exact measure is;

f  + 36 = 180

f = 180 - 36

f = 144

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Answer:

Fourths

Step-by-step explanation:

If all the sides of the triangle added together is equal to P, then the sides of the new triangle would be P/4. Therefore the answer would be fourths.

Answer:

M(-1,7), N(3,6), O(1,1)

Step-by-step explanation:

The coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that the coordinates are M(1, 3),N(5, 2), and O(3, −3).

We have to translate 2 units left and 4 units up.

The coordinates obtained after applying the given geometric transformation are M'(-1,7), N'(3,6), O'(1,1)

Thus, the coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).

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On average, it takes approximately 14 minutes for a plane to complete the entire arriving process, from radioing the control tower to landing on the runway, in the morning at Nogan Airport.

To determine the average time that elapses between a plane radioing the control tower and its completion of the entire arriving process in the morning, we need to consider the different steps involved in the process.

Radioing the control tower: The time between two consecutive arriving requests follows an exponential distribution with an average of 10 minutes. Hence, on average, it takes 10 minutes for a plane to radio the control tower after the previous plane.

Assigning position in queue: The air traffic controller assigns the plane a position in the queue on a first-come-first-serve basis, implying that there is no additional delay for this step.

Landing on the runway: Once the plane reaches the front of the queue, it lands on the runway. The time it takes for a plane to use a runway, either for landing or departing, follows an exponentially distributed process.

Since the runway dedicated to arrival can serve 15 flights per hour, the average time it takes for a plane to complete the landing process is 1/15 hour, or 4 minutes.

Considering these steps, the average time that elapses between a plane radioing the control tower and completing the entire arriving process in the morning can be calculated as follows:

Average time = Time to radio the control tower + Time to land on the runway

= 10 minutes + 4 minutes

= 14 minutes

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Answer:

1.645 ft

Step-by-step explanation:

Divide the length of the board by the number of pieces it will be cut into

8.225/5=1.645 ft

Answer:

-8

Step-by-step explanation:

let the other number be x

according to the question equation is

-12x = 96

x = 96/-12

x = -8

The length of a wire can significantly impact its strength, range, and stiffness.

Strength refers to the ability of a wire to withstand an applied force without breaking. As the length of a wire increases, its strength decreases. This is because the cross-sectional area of the wire remains constant, while the overall volume of material in the wire increases with its length. Consequently, longer wires experience higher stress when subjected to the same force, making them more prone to breakage.

Range is the distance over which a wire can transmit a signal or energy. In electrical applications, the longer the wire, the greater the resistance it presents, which in turn reduces the effective range of the signal. As the wire length increases, more energy is dissipated as heat due to increased resistance, causing a drop in the signal strength. To maintain signal integrity, it's crucial to balance the length of the wire with its diameter and material properties.

Stiffness refers to the resistance of a wire to deformation when subjected to an external force. A longer wire will typically be more flexible and have a lower stiffness than a shorter wire of the same material and diameter. This is because the force applied to the wire is distributed over a larger area, making it more prone to bending. However, the stiffness can be increased by using a thicker wire or a material with higher stiffness properties.

In conclusion, the length of a wire affects its strength, range, and stiffness. Longer wires generally have lower strength and stiffness, and their range can be reduced due to increased resistance. To optimize these properties, it's essential to consider the wire's length, diameter, and material composition.

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Answer:

3

Step-by-step explanation:

The answer is 3 because absolute value is the distance away from zero so, -2 is 2 away from zero and -3 is 3 away from zero. Therefore, -3 has the largest absolute value.

In a triangle one side that lies on an extended line segment,  statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

Given that,

A triangle, which has one interior angle 85° and one exterior angle 147°

Another exterior angle x = ?

It is already known that,

Sum of complementary angles are 180

So,

⇒  Y + 147 = 180

⇒  Y  = 180 - 147

⇒  Y = 33

sum of all the interior angles of the triangle is 180°

X + Y + 85 = 180

X = 180 - 85 - 33

X = 62

Hence, the value of x is 62

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The change in volume is -88π

The volume is nothing but the amount of space occupied by a three-dimensional figure as measured in cubic units.

Volume Change is defined as the variation in the existing volume of the service type which is provided by the Supplier under the Agreement

The radius is decreasing at 2 inches per minute

The height is given as decreasing at 4 inches per minute

So let \(\frac{dr}{dt}=-2\) and

\(\frac{dh}{dt}=-4\)

and we have radius r=6,

                     height h=5

The volume of the cone is represented by V as V=\(\frac{1}{3}\pi r^{2}h\)

Then

\(\frac{dv}{dt}=\frac{\pi }{3}[r^{2}\frac{dh}{dt} +h*2r\frac{dr}{dt}]\)

\(=\frac{\pi }{3}[6^{2}(-4)+5*2(6)(-2)]\)

\(=\frac{\pi }{3}[36(-4)+5(12)(-2)]\\ =\frac{\pi }{3}[-144+(-120)]\\ =\frac{-264}{3}\pi \\ =-88\pi\)

So the volume change is \(-88\pi\)

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Answer:

\(C = 2\pi r\)

\(C = \pi d\)

Step-by-step explanation:

Given

A circular ring

Required

The length

Let

\(r \to\) the radius of the ring

The length is calculated by calculating the circumference of the ring.

This is calculated using:

\(C = 2\pi r\)

or

\(C = \pi d\)

Where

\(d \to\) diameter

and \(d = 2r\)

Answer:

2000

Step-by-step explanation:

1km=1000m

2km=2000m

Answer:

6x + 3y

Step-by-step explanation:

3x + 3x + 3y (use the distributive property)

6x + 3y

Answer:

9.4 ounces of oat meal

Step-by-step explanation:

37.6 x 10 = 376

4 x 10 = 40

we do this to get rid of the decimal

376/40=188/20=94/10=47/5=9(2/5)=9.4 ounces of oat meal

Answer:

3/4 ÷ 1/8 = 6

Step-by-step explanation:

first you would have to figure out how to make them even factors.

6/8 ÷ 1/8

Then you would divide, and get 6.