Ben is playing a card game. The numbers of the cards in his hand are 2, 3, 4, 4, 5, 7, 9, and 10. Ben may only play one card at a time.

What is the probability the next card Ben plays will be an odd number?

A. 3/4
B. 1/2
C. 3/8
D. 1/4

Find AB , AC , DE and DF. If the ratios DE/AB and DF/AC are equal , then the triangles are similar

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔDEF

Now , the corresponding sides are

DE/AB and DF/AC

Now , corresponding sides of similar triangles are in the same ratio.

On simplifying , we get

DE/AB = DF/AC

Hence , the triangles are similar

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Based on the properties of rectangles, the angles and the side lengths are KN = 11 and NLK = 32

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

JN = 2x + 7, LN = 6x - 1

NKJ = 58 degrees

The diagonals or a rectangle are equal

So, we have

2x + 7 = 6x - 1

Evaluate the like terms

4x = 8

Divide

x = 2

So, we have

KN = 2 * 2 + 7

KN = 11

Adjacent angles in this case add up to 90 degrees

This gives

NLK = 90 - 58

Evaluate

NLK = 32

Hence, the measure of the angle is 32 degrees

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Answer:

A speed skater travels 12.5 meters per second

A cheetah travels 26 meters per second

Step-by-step explanation:

To find their speeds, divide the number of meters by the number of seconds:

Speed skater:

500/40

= 12.5 meters per second

Cheetah:

260/10

= 26 meters per second

So, a speed skater travels 12.5 meters per second and a cheetah travels 26 meters per second.

Answer:

The mean weight of an adult is 66 kilograms with a variance of 144. If 123 adults are randomly selected, the sample mean would follow a normal distribution with a mean of 66 kilograms and a standard deviation of sqrt(144/123) = 3/sqrt(123) kilograms.

We can standardize the sample mean to find the probability that it would be greater than 66.7 kilograms. The standardized value for 66.7 is (66.7 - 66) / (3/sqrt(123)) = 2.3094.

Using a standard normal distribution table, we find that the probability of a standard normal variable being greater than 2.3094 is approximately 0.0104.

Therefore, the probability that the sample mean would be greater than 66.7 kilograms is approximately 0.0104, rounded to four decimal places.

Step-by-step explanation:

Answer:

\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)

Step-by-step explanation:

Given

Shape: Cube

Dimension: (x+7y), (7x-y) and (xy-5).​

Required

Determine the volume

The volume is calculated by multiplying the dimensions:

\(Volume = (x+7y) * (7x-y) * (xy-5)\)

Evaluate the first 2 brackets

\(Volume = [x(7x-y)+7y(7x-y)] * (xy-5)\)

\(Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)\)

\(Volume = [7x^2-xy+49xy-7y^2] * (xy-5)\)

\(Volume = [7x^2+48xy-7y^2] * (xy-5)\)

Open brackets

\(Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2]\)

\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)

Answer:

yes it is

Step-by-step explanation:

it is linear because the number can fall on both the x and y axis

Answer:

y = -x + 2 is a Linear Equation.

Step-by-step explanation:

The equation is in slope-intercept form of a linear function.

Slope-intercept form: y = mx + b ---> y = y, -x = mx, b = 2

Answer:

slope=7/4

Step-by-step explanation:

you can find the slope of the line from a graph using the formula rise/run, where rise is the change in y and run is the change in x

let's start with a clear point; for example, (-1,-3)

we need to go up, down, left, or right to get the rise/run

up/down is considered the rise

left/right is considered the run

if we go up or to the right, that's considered a positive move

if we go down or to the left, that's considered a negative move

we'll go from (-1,-3) to another clear point, like (3,4) for example

starting at (-1,-3):

go up 7, to the point (-1,4)

then move 4 to the right to get to the point (3,4)

we went up 7, so our rise is 7

we moved to the right 4, so that is our run

our slope then is 7/4

please see below for a graph if that would be helpful:

Answer:

d + 23 = 69

d = 46

Step-by-step explanation:

The equation is: 23 + d = 69. This is because sum always means to add, and the problem says 69 is the sum of Diego's score.

Can I have brainliest?

Answer:

9.8978999e+98

Step-by-step explanation:

The percentage off of the coupon is 25%

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

Normal price = $24

Amount saved = $6

The above parameters mean that

Percentage of the coupon = Amount saved/Normal price

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

Percentage of the coupon = 6/24

Evaluate

Percentage of the coupon = 25%

Hence, the percentage is 25%

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Answer:

18 units²

Step-by-step explanation:

Find the side lengths then multiply the length and width to find the area.

ΔABC is not a right angled triangle.

What is right angled triangle?

A right-angle triangle is one that has angles between its two sides that equal 90 degrees.

Main Body:

First let's find the length of the last side. We can do this by adding AB and BC together, then subtracting this amount from the perimeter of Triangle ABC, 22 cm.

ABC - (AB + BC) ⇒ 22 - (8 + 5)

                             =22 - 13 = 9 cm

The hypotenuse is always the longest side of a triangle, so we know that the side we figured out is the hypotenuse. Now we can use the Pythagorean Theorem to see whether the triangle is a right triangle.

Pythagorean Theorem: a² + b² = c², where a and b are legs and c is the hypotenuse.

If a² + b² do equal c², then the triangle is a right triangle.

⇒8² + 5² = 9²

⇒64 + 25 = 81

⇒89 > 81

Therefore triangle is not a right triangle, but we know that it is obtuse since a and b together are longer than c.

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The value of the expression - 3 x 5 using the multiplication property will be -15. Then the correct option is A.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

-3 and 5

Then the product of the numbers -3 and 5 will be given by putting a cross sign between them. Then we have

⇒ -3 x 5

⇒ -15

The value of the expression - 3 x 5 using the multiplication property will be -15. Then the correct option is A.

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Answer: y = 3/4x

Step-by-step explanation:

(100, 75)

(200, 150)

find slope

150 - 75 / 200 - 100

75 / 100 = 3/4

plug values into formula y=mx+b to find y-intercept

y = 3/4x + b

75 = 3/4(100) + b

75 = 75 + b

b = 0

Answer:

(2,-1)

Step-by-step explanation:

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

The total price to pay is $95.718.

Step-by-step explanation:

Solve for the total cost of the entrees first

$35(3) = $105

Taking off 14%, that means that the customer is only to pay

100% - 14% = 86% of the total price or 0.86 in decimal

Discounted price = $105(0.86)

Discounted price = $90.30

Lastly, add the 6% sales tax or 0.06 in decimal

Total price = $90.30(1.06)

Total price = $95.718

In a normal distribution, approximately 2.28% of test takers will score between two (2) and three (3) standard deviations below the mean.

A normal distribution, also known as a Gaussian distribution or bell curve, is a probability distribution that describes how frequently different values occur in a dataset. The mean, or average, of the distribution is located at the center of the curve, and the standard deviation is a measure of how spread out the values are. In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations. Therefore, if a test taker scores between two and three standard deviations below the mean, they are in the tail end of the distribution and are in the bottom 2.28% of test takers.

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Answer:

1 2/7

Step-by-step explanation:

18 - 2x(4+3) =

combine like terms in the parentheses

18 - 2x(7) =

Multiply

18 - 14x  (This is the value of the expression)

We can solve for x by setting it equal to zero

18 - 14x = 0

-14x = -18

x = -18/-14

x = 1 2/7

The monthly payment on the vehicle lease would be approximately $368.27.

To calculate the monthly payment on a vehicle lease, we need to consider several factors including the length of the lease, MSRP of the car, purchase value after the lease, down payment, lease factor, security deposit, and acquisition fee.

The monthly payment for a vehicle lease can be calculated using the following formula:

Monthly Payment = (Net Cap Cost - Residual Value) / Number of Lease Months + (Net Cap Cost + Residual Value) * Lease Factor

First, we need to calculate the Net Cap Cost, which is the difference between the MSRP and the down payment:

Net Cap Cost = MSRP - Down Payment

Net Cap Cost = $41,400 - $3,800

Net Cap Cost = $37,600

Next, we calculate the Residual Value, which is the purchase value of the car after the lease:

Residual Value = Purchase Value after Lease

Residual Value = $26,660

Now, we can calculate the monthly payment:

Monthly Payment = ($37,600 - $26,660) / 36 + ($37,600 + $26,660) * 0.00064

Simplifying the equation:

Monthly Payment = $10,940 / 36 + $64.384

Monthly Payment = $303.89 + $64.384

Monthly Payment = $368.27

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Answer: if you need more let me know

Answer:

Answer!!!!!

-12b + 6c + 18

Answer:

y=-3x^2+2x+201

Step-by-step explanation:

A unique triangle can be constructed if it satisfies the angle and length conditions. In the given options:

A) Angle measures: 30°, 60°, 90° - This forms a unique triangle because the sum of the angles equals 180°.

B) Angle measures: 50°, 50°, 80° - This also forms a unique triangle because the sum of the angles equals 180°.

C) Side lengths: 2 in., 7 in., 8 in. - This forms a unique triangle because it satisfies the Triangle Inequality Theorem (sum of any two sides is greater than the third side: 2+7 > 8, 2+8 > 7, 7+8 > 2).

D) Side lengths: 5 ft., 6 ft., 12 ft. - This does not form a unique triangle because it fails the Triangle Inequality Theorem (5+6 ≤ 12).

E) Side lengths: 11 cm, 15 cm, 17 cm - This forms a unique triangle because it satisfies the Triangle Inequality Theorem (11+15 > 17, 11+17 > 15, 15+17 > 11).

So, the conditions A, B, C, and E will result in the construction of a unique triangle.

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Based on the baths, nail trims, brush-outs, and ear cleanings the pet groomer gave, for every 5 nails, the groomer gave 3 baths.

The pet groomer gave out a total of 15 nail trims. To find out the service that the pet groomer gave 3 of for every 5 nail trims, find out the number that takes 15 nail trims to 5 nail trims and then use this number to divide the number of the other services given.

The service that comes to a quantity of 3 would be the answer.

= 15 nail trims / 5

= 3

Use 3 to divide the rest. When baths are divided by 3 we get:

= 9 / 3

= 3 baths

In conclusion, for every 5 nail trims, the groomer gave out 3 baths.

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Answer:

The data represents data right-skewed because it's numerical data are in the right place and showing the percentage of an event/object.

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Answer:

7r² - 6r + 9

Step-by-step explanation:

Simply combine like terms to find our final polynomial:

8r² - 7r - 9 - r² + r

7r² - 6r + 9

Answer:

7r^2-6r-9

Step-by-step explanation:

8r^2-7r-9-r^2+r

(8r^2-r^2)+(-7r+r)-9

bring to standard form

7r^2-6r-9

Answer:

1 and 4 are parallel

Step-by-step explanation: