How many degrees is the angle below? Do not include units in your answer.
130 170 160 150 140 130 1
-90
30 40 50 60 70 80
Answer here
100 110 120 130 140 150
80 70 60 50 40 30
20
10
0

a) The chance of drawing no court cards (J, Q, K, A) in a hand of 13 cards randomly drawn from a pack of 52 is approximately 0.294. b) The chance of drawing at least one ace but no other court cards in a hand of 13 cards is approximately 0.089. c) The chance of drawing at most one kind of court card (J, Q, K, A) in a hand of 13 cards is approximately 0.633.

a) To find the chance of drawing no court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are 36 non-court cards (52 cards - 16 court cards), and we want to draw 13 cards without any court cards. The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

The number of favorable outcomes is the number of ways to choose 13 cards from the 36 non-court cards, which can be calculated using combinations. Thus, the probability is:

Probability = C(36, 13) / C(52, 13) ≈ 0.2936

b) To find the chance of drawing at least one ace but no other court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 aces in the deck, and we want to draw at least one of them along with 12 non-court cards (36 non-court cards - 4 aces).

The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

For drawing two aces, there are C(4, 2) ways to choose two aces and C(36, 11) ways to choose the remaining non-court cards.

Thus, the probability is:

Probability = [C(4, 1) * C(36, 12) + C(4, 2) * C(36, 11)] / C(52, 13) ≈ 0.0892

c) To find the chance of drawing at most one kind of court card, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 court cards of each kind (J, Q, K, A), and we want to draw at most one kind of court card.

The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

The number of favorable outcomes is the sum of three cases: drawing no court cards, drawing only one kind of court card, and drawing one court card of each kind. We have already calculated the probability of drawing no court cards in part (a).

Thus, the probability is:

Probability = [C(36, 13) + 4 * C(36, 13) + 4 * C(36, 12)] / C

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To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability. The chance of no court cards can be calculated using combinations. The probability of at least one ace but no other court cards can be found by subtracting the probability of no aces from the probability of no court cards. The probability of at most one kind of court card can be calculated by finding the probability of having zero court cards and one court card.

To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability.

There are 12 court cards (J, Q, K, A) in a deck of 52 cards. So, to have no court cards in a hand, we need to select all 13 cards from the remaining 40 non-court cards. The probability can be calculated as 40C13/52C13.

To find this probability, we need to subtract the probability of having no aces from the probability of having no court cards. The probability of having no aces is 48C13/52C13, and the probability of having no court cards is 40C13/52C13. The result is the difference between these two probabilities.

To find the probability of having at most one kind of court card, we can calculate the probability of having zero court cards or one court card. The probability of having zero court cards can be calculated as 40C13/52C13, and the probability of having one court card can be calculated as 12C1 * 40C12/52C13. The sum of these two probabilities gives the probability of having at most one kind of court card.

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Answer:

21/2

Step-by-step explanation:

The answer can be determined by substracting the lengrh of the woodland trail from the Marsh trail

\(5\frac{3}{10}\) - \(2\frac{4}{5}\)

\(3\frac{3 - 8}{10}\)

\(2\frac{5}{10}\)

converting the fraction to its simplest form gives 21/2

The profit per month for the contractor is obtained as $9425.

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 profit of the contractor per job is given as $3250.

As per the given table the expected value can be obtained as,

E(x) = \(\sum_{x = 1}^{4} xP(x)\)

⇒ E(x) = 1 × 0.1 + 2 × 0.2 + 3 × 0.4 + 4 × 0.3

⇒ 2.9

Then, the expected profit of is given as 3250 × 2.9 = $9425

Hence, the profit per month is obtained as $9425.

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It's given that HIJK is a parallelogram. In a parallelogram, the adjacent angles sum up to 180°. Here, z & z + 68° together make 180° because they are adjacent angles.

z + z + 68 = 180

2z = 180 - 68

2z = 112

z = 112/2

z = 56°.

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

Tama Yung unang sagot

Step-by-step explanation:

822987467 (10569) ml I'd ko

The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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Answer:

Step-by-step explanation:

(13g+1) - (-2-5g) = 8/3(3g+9/8)

We'll set them equal for now and then simplify

(13g + 1 - 2 - 5g) = (8g + 3)

8g - 1 = 8g + 3

So now we know they're not equal. Mr. Scotty boy is wrong and you have the simplifications. Hope this helps!

This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.

The vector field for f(x,y) = x^4, y^4 can be plotted by considering the gradient of the function, which gives us the direction and magnitude of the vector at each point (x,y).

The gradient of f(x,y) is given by:

grad(f) = (∂f/∂x)i + (∂f/∂y)j

= 4x^3 i + 4y^3 j

This tells us that at each point (x,y), the vector has a magnitude of sqrt((4x^3)^2 + (4y^3)^2) = 4sqrt(x^6 + y^6) and is pointing in the direction of (4x^3, 4y^3).

To plot the vector field, we can choose a set of points (x,y) on a grid and calculate the corresponding vectors. We can then draw an arrow at each point (x,y) with the length and direction given by the corresponding vector.

Alternatively, we can use software such as MATLAB or Python with a suitable library like matplotlib to plot the vector field. Here is an example code in Python:

import numpy as np

import matplotlib.pyplot as plt

# Define the vector field function

def f(x, y):

   return np.array([x**4, y**4])

# Define the grid of points to plot

x = np.linspace(-1, 1, 20)

y = np.linspace(-1, 1, 20)

X, Y = np.meshgrid(x, y)

# Evaluate the vector field at each point

U, V = f(X, Y)

# Plot the vector field

plt.quiver(X, Y, U, V)

# Add labels and show the plot

plt.xlabel('x')

plt.ylabel('y')

plt.title('Vector Field for f(x,y) = x^4, y^4')

plt.show()

This will produce a plot of the vector field for the function f(x,y) = x^4, y^4.

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Answer: Square and rectangle

Step-by-step explanation:

Answer:

175 dollars

Step-by-step explanation:

from that word problem the equation that i was able to get out of it was

1225/ 7

^ the travel allowance and how much days they are going to be there

i dont know if you are allowed to use a calculator in your class but puting 1225/ 7 does give you a answer of a positive number of 175 dollars

meaning that they can only use 175 dollars a day so they dont go over the allowance

i hope this helps you! please stay safe and have a good day :)

Answer:

Um, the answer for that is 175.

Step-by-step explanation:

all you need to do is divide $1,225 by 7 which is 175.

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:  THE 100G PACKET

Step-by-step explanation:

1) FIND OUT THE COST OF COFFEE PER G

So for the 100g coffee it costs ( 8.10 / 100) = $0.081

                                          AND

For the 25g coffee it costs (2.05 / 25) = $0.082

The coffee that is 100g is mor cost-efficient so that is your answer

The value of n and YZ are 13 and 26 respectively

If Y is between X and Z, then:

XY + YZ = XZ

Given the following

XY = 5n

YZ = 2n

XZ = 91​

Substitute the given expressions into the formula as shown:

5n + 2n = 91

7n = 91

Divide both sides by 7

7n/7 = 91/7

n = 13

Get the measure of segment YZ

YZ = 2n

YZ = 2(13)

YZ = 26

Hence the value of n and YZ are 13 and 26 respectively

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To find the maximum height that the pumpkin reaches, we can set the derivative of the equation equal to 0 and solve for x. The derivative of y = 12 + 105x - 16x^2 is y' = 105 - 32x. Setting y' = 0, we get:

0 = 105 - 32x

32x = 105

x = 105/32

The maximum height is reached when x = 105/32 seconds. To find the maximum height, we can plug this value of x into the original equation:

y = 12 + 105(105/32) - 16(105/32)^2

= 12 + 1053.28125 - 163.28125^2

= 12 + 342.8125 - 106.25

= 248.5625

The maximum height that the pumpkin reaches is 248.5625 feet.

To find the number of seconds it takes for the pumpkin to hit the ground (when its height is 0), we can set y = 0 in the original equation and solve for x:

0 = 12 + 105x - 16x^2

16x^2 - 105x + 12 = 0

(4x - 3)(4x - 4) = 0

The solutions to this equation are x = 3/4 and x = 4/4. The second solution is extraneous, since it represents the time at which the pumpkin was launched (when x=0, y would be 12 feet, not 0 feet). Therefore, the number of seconds it takes for the pumpkin to hit the ground is x = 3/4 seconds.

Answer:

\( \boxed{ \boxed{ \sf {Marked \: price \: = Rs \: 1500}}}\)

\( \boxed{ \bold{ \boxed{ \sf{Selling \: price = \: Rs \: 1230}}}}\)

Step-by-step explanation:

Let Cost price ( C.P ) be x

Finding the Marked price and selling price

Marked price = \( \sf{x + 20\% \: of \: x}\)

⇒\( \sf{x + \frac{20}{100} \times x}\)

⇒\( \sf{ \frac{x \times 100 + 20x}{100} }\)

⇒\( \sf{ \frac{120x}{100} }\) ⇒ ( i )

Selling price = \( \sf{marked \: price \: - 18\% \: of \: marked \: price}\)

⇒\( \sf{ \frac{120x}{100} - \frac{18}{100} \times \frac{120x}{100} }\)

⇒\( \sf{ \frac{120x}{100} - \frac{54x}{250} }\)

⇒\( \sf{ \frac{120x \times 5 - 54x \times 2}{500} }\)

⇒\( \sf{ \frac{600x - 108x}{500} }\)

⇒\( \sf{ \frac{492x}{500} }\) ⇒ ( ii )

Finding the value of x ( Cost price )

\( \sf{loss = cost \: price - selling \: price}\)

⇒\( \sf{20 = x - \frac{492x}{500} }\)

⇒\( \sf{20 = \frac{x \times 500 - 492x}{500} }\)

⇒\( \sf{20 = \frac{8x}{500} }\)

⇒\( \sf{8x = 10000}\)

⇒\( \sf{x = \frac{10000}{8} }\)

⇒\( \sf{x = \: Rs \: 1250}\)

Value of x ( cost price ) = Rs 1250

Now, Replacing the value of x in ( i ) in order to find the value of marked price

\( \sf{marked \: price = \frac{120x}{100} }\)

⇒\( \sf{ \frac{120 \times 1250}{100} }\)

⇒\( \sf{ \: Rs \: 1500}\)

Replacing value of x in ( ii ) in order to find the value of selling price

\( \sf{selling \: price = \frac{492 \: x}{500} }\)

⇒\( \sf{ \frac{615000}{500} }\)

⇒\( \sf{ \: Rs \: 1230}\)

Thus , Marked price of the fan = Rs 1500

Selling price of the fan = Rs 1230

Hope I helped!

Best regards!!

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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Answer:

Step-by-step explanation:

The number of minutes it will take the marshal to catch up to the robber in discuss is; 210.

Let 30minutes = 0.5 hours.

Let x represent the time for which the marshal has ran.

On this note, the robber must have galloped at; (x +0.5) hours.

Hence, it follows from the task content that if they are at the same distance from the bank; we have;

14(x+0.5) = 16(x)

14x + 7 = 16x

7 = 2x

x = 7/2 = 3.5 hours.

= 3.5 × 60minutes = 210minutes.

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A.

a number that can be written as a fraction but not as a decimal I think

The number of seeds per square foot is the variable that explains the variation in the yield of the crop in pounds per square foot.

The explanatory variable for this relationship is the number of seeds per square foot. The number of seeds per square foot is the variable that is being manipulated or changed by the farmers in order to observe the effect on the yield of the crop in pounds per square foot.

The farmers observed that the yields were the smallest when the number of seeds per square foot was either very small or very large, this means that there is an optimal number of seeds per square foot that yields the highest crop.

So, the number of seeds per square foot is the variable that explains the variation in the yield of the crop in pounds per square foot.

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Answer:

see below

Step-by-step explanation:

4x^4 – 20x^2 + 25

= (2x-5)²

so the factor is 2x-5

Given:

Diameter of ball = 8 cm

To find:

The volume of the ball.

Solution:

We know that the radius of sphere is half of is diameter.

It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:

\(r=\dfrac{8}{2}\)

\(r=4\)

The radius of the ball is 4 cm.

The volume of a sphere is:

\(V=\dfrac{4}{3}\pi r^3\)

Where r is the radius of the sphere.

Putting \(\pi = 3.14, r=4\) in the above formula, we get

\(V=\dfrac{4}{3}(3.14)(4)^3\)

\(V=\dfrac{4}{3}(3.14)(64)\)

\(V=267.946667\)

\(V\approx 267.95\)

Therefore, the volume of the ball is about 267.95.

First we must find the z-scores that define the area under the curve of the normal distribution that is centered in the middle and is equal to the 81% of the total area under the curve. Basically we have:

Since the area is centered at z=0 the two z-scores that we are looking for have the same module i.e. they only differ in their sign. In order to find them we must use a z table.

In a z table you can find the area between negative infinite and a given z. If the z-scores that we are looking for are -Z and Z then in a z table we can find the area under the curve for the intervals (-∞,-Z) and (-∞,Z).

Since the 81% area described before is centered at the mid of the curve we know that the remaining areas at its left and right are equal and their sum is equivalent to the remaining 19% of the total area. These two areas are the ones in the intervals (-∞,Z) and (Z,∞) and are equal to 0.19/2=0.095. So in a z table we just need to find the z-score for which (-∞,z)=0.095 and that z-score will be -Z. So we look for it in the z table:

So as you can see the z-score is -1.31 so we have -Z=-1.31 and Z=1.31.

Then the answer is:

The Z-scores are -1.31,1.31.

Answer:

Not similar

Step-by-step explanation:

For a rectangle you would make a equation with length a over length b equalibg width a over width b. I'll use the problem and show it in an equation below.

\( \frac{12}{24} = \frac{8}{18} \)

There are a few ways to solve this, 1, by simplifying, and the other cross multiplying. I like cross multiplying more, so I'll explain it like that. To cross multiply you multiply the numerator of one fraction by the denominator of the other.

\(12 \times 18 = 216 \\ 24 \times 8 = 192\)

Because these values are not equal, the rectangles are not similar.

Answer:

\((x+6)^2+(y-5)^2=65\)

Step-by-step explanation:

Plug center into the equation of a circle

\((x-h)^2+(y-k)^2=r^2\)

\((x-(-6))^2+(y-5)^2=r^2\)

\((x+6)^2+(y-5)^2=r^2\)

Determine r²

\((2+6)^2+(6-5)^2=r^2\)

\(8^2+1^2=r^2\)

\(64+1=r^2\)

\(65=r^2\)

Final equation

\((x+6)^2+(y-5)^2=65\)

Answer:

A

Step-by-step explanation:

Hope this helps

Answer:

a,c

Step-by-step explanation:

convert them all into a denominator of 20

3/4 = 15/20

3/10 = 6/20

4/5 = 16/20

1/2 = 10/20

the volume of the prism is

V=L*W*H

we have

L=2

W=1 1/2=1+1/2=3/2

H=1 1/2=1+1/2=3/2

substitute

V=(2)(3/2)(3/2)

V=9/2 units3

V=8/2+1/2=4+1/2=4 1/2 units3

Answer:

6 3/14 pancake order s

Step-by-step explanation:

The question above is calculated as:

2/3 cup of syrup = 1 pancake order

3 8/7 cups of syrup = x

Cross Multiply

2/3 × x = 3 8/7 × 1

x = 3 8/7 ÷ 2/3

x = 29/7 ÷ 2/3

x = 29/7 × 3/2

x = 87/14

x = 6 3/14 order

The maximum number of complete pancake orders that Anton can serve with the syrup he has is 6 3/14 pancake orders

Given:

The minimum and maximum distance that the dog may be from the house can be found by using the equation:

\(|x-500|=8\)

To find:

The minimum and maximum distance that the dog may be from the house.

Solution:

We have,

\(|x-500|=8\)

It can be written as:

\(x-500=\pm 8\)

Adding 500 on both sides, we get

\(x=500\pm 8\)

Now,

\(x=500+8\) and \(x=500-8\)

\(x=508\) and \(x=492\)

The minimum distance is 492 meters and the maximum distance is 508 meters.

Therefore, the correct option is C.

Answer:

$200

Step-by-step explanation:

1 week: $50

1 week ($50) x 4 = $200

Answer: You will earn $200 in the span of 4 weeks.

Step-by-step explanation:

• First, multiply the pay rate ($10 per hour) by the number of hours (5), yielding $50 a week.

• Multiply the total pay in the span of 1 week by the number of weeks (4 in this case), resulting in $200 in the span of 4 weeks.