You need to put your reindeer, Bloopin, Balthazar, Bloopin, Prancer, and Quentin, in a single-file line to pull your sleigh. However, Prancer and Balthazar are best friends, so you have to put them next to each other, or they won't fly. How many ways can you arrange your reindeer?

Answer:

a) 13/102

b) 24/16575

c) 169/5100

d) 30/169

Step-by-step explanation:

a) 26/52 × 13/51

13/102

b) 4/52 × 4/51 × 12/50

1/13 × 4/51 × 6/25

24/16575

c) 13/52 × 13/51 × 26/50

1/4 × 13/51 × 13/25

169/5100

d) 40/52 × 12/52

10/13 × 3/13

30/169

Answer:

13/102

8/5525

169/5100

10/39

Step-by-step explanation:

a.  there are 26 red cards in a standard deck  and 13 clubs

P (red) = 26/52 =1/2

Then we keep the card, so there are only 51 cards left

P ( club) = 13/51

P (red, no replacement, club) = P (red) * P(club) = 1/2 *13/51 = 13/102

b.  there are 4 three's in a standard deck  4 7's 12 face cards, assuming an A is not a face card  (jack , queen king are face cards, 1 of each suit 3*4 =12)

P (3) = 4/52 =1/13

Then we keep the card, so there are only 51 cards left

P (7) = 4/51

Then we keep the card, so there are only 50 cards left

P (face card) = 12/50 = 6/25

P (3, no replacement, 7,no replacement, face)

 = P (3) * P(7)* P (face) = 1/13 *4/51*6/25 =8/5525

c.  there are 13 diamonds in a standard deck  13 hearts and 26 black cards

P (diamond) = 13/52 =1/4

Then we keep the card, so there are only 51 cards left

P (heart) = 13/51

Then we keep the card, so there are only 50 cards left

P (black) = 26/50 = 13/25

P (diamond, no replace, heart,no replace, black)

 = P (diamond) * P(heart)* P (black) = 1/4*13/51*13/25 =169/5100

d  assuming an aces is a number card

there are 40 number cards and 12 face cards

P (number) = 40/52 =10/13

Then we keep replace card, so there are 52 cards left

P ( face) = 12/52=1/3

P (number, replace, face) = 10/13 * 1/3 =10/39

Answer:

x + 2(-4) = 10

x - 8 = 10

x = -18

y = -4

(-18, -4)

Step-by-step explanation:

Answer:

x + 2(-4) = 10

Step-by-step explanation:

Substituting -4 for y in the second equation results in x + 2(-4) = 10.  This simplifies to x - 8 = 10 and then x = 18.

Please, when the problem statement includes possible answer choices, share them.

1 odd number

2 prime number

3 odd number and prime number

4 none (is out of the diagram)

5 odd number and prime number

Answer:

Ok here's the answer

Step-by-step explanation:

Odd numbers are whole numbers that cannot be divided exactly into pairs. Odd numbers, when divided by 2, leave a remainder of 1. 1, 3, 5, 7, 9, 11, 13, 15 … are sequential odd numbers. Odd numbers have the digits 1, 3, 5, 7 or 9 in their ones place.

Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101,

so you need to put 1 in the odd number section

put 2 in the prime number section

put 3 in the middle section which is the similarities

don't put 4 anywhere because it's neither an odd number nor a prime number

put 5 in the middle section which is the similarities

Answer:

256 cm squared

Step-by-step explanation:

Just did the Quiz, hope this helps!

The area of this composite figure is 256 centimeters squared, the correct option is D.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

We are given that;

Measure of rectangle = 16x10

Measure of triangle base of 16 centimeters and height of 6 centimeters.

Now,

The area of the composite figure can be calculated by adding the area of the rectangle and the area of the two triangles.

The area of the rectangle is 16 * 10 = 160 cm^2. The area of one triangle is 1/2 * 16 * 6 = 48 cm^2. The area of two triangles is 2 * 48 = 96 cm^2.

160 + 96 = 256 cm^2.

Therefore, by the given composite figure the answer will be 256 centimeters squared.

Learn more about area of a composite figure here:

https://brainly.com/question/10254615

#SPJ3

Answer:

1/3 or 33.3%

Step-by-step explanation:

theres 3 total, and one squirtle so it's 1/3

Answer:

A

1) horizontal translation of 2 units towards left

2) vertical translation of 10 units upwards

B)

1) k = -2

2) k = 10

C)

1) g(x) = f(x + 2)

2) g(x) = f(x) + 10

Step-by-step explanation:

A & B)

1) horizontal translation of 2 units towards left

2) vertical translation of 10 units upwards

C)

1) g(x) = f(x + 2)

2) g(x) = f(x) + 10

Answer:

The tax is $3.62

So the price now is $94.12‬

Answer:

$94.12

Step-by-step explanation:

If the original price is $90.5 then you would have to multiply

90.50*104%,you multiply 104% because 100% is sopposed to be the original price and the tax adds up the price by 4% so,

100%+4%=104%

104%*90.50=$94.12

In a perfectly competitive market, Andy will produce two basketballs in the short run, as this is the quantity at which the marginal cost equals the equilibrium price of $2.50.

In a perfectly competitive market, a firm like Andy's basketball business should continue to produce and sell its product as long as the marginal cost (MC) of producing an additional unit is less than or equal to the market price, and stop at the point where MC equals the market price. Given that the equilibrium price of basketballs is $2.50, and looking at the provided information where various costs are outlined, we can determine how many basketballs Andy should produce.

Andy should look at the marginal cost for each output level and compare it to the equilibrium price. He will produce up to the point where marginal cost equals the equilibrium price. The table shows the last unit he should produce at a marginal cost of $2.50 is the second basketball. Producing the third basketball would have a marginal cost of $5.00, which is higher than the equilibrium price, indicating that producing the third basketball would lead to a loss. Therefore, in the short run, Andy will produce two basketballs per day.

Step-by-step explanation:

Nathan read 2 books in 10 months.

The time taken to complete 1 book = [tex]\frac{10}{2}[/tex] = 5 months

To complete 1 book it takes 5 months.

The rate of reading a book per month = [tex]\frac{1}{5}[/tex] = 20%

Use:

[tex] sec a=\frac{1}{cos a}[/tex]

Answer:

See below.

Step-by-step explanation:

Write the sec's as 1 / cos  and the tan's as sin / cos

I will write sin as s and cos as c:

Left side  =  1 / ( cos)a - b)  =     1  / (ca cb + sa sb)

Right side =    1  /  (  ca cb ( 1 + sa sb / ca cb))

=  1 / ( ca cb *  ( ca cb + sa sb) / ca cb)

The 'ca cb' cancels out so

Right side = 1 / (ca cb + sa sb)  = left side..

Answer:

a = 3

b = 4

c = 5

Step-by-step explanation:

This is a rhombus. A property of a rhombus is that their diagonals perpendicularly bisect each other. In other words, if the point in the center is A, then HA = MA and EA = OA. So: 3 = a and 4 = b.

Since angle HAO forms a right angle, we can use the Pythagorean Theorem to say that HA^2 + AO^2 = OH^2: 3^2 + 4^2 = 9 + 16 = 25.

OH^2 = 25

OH = 5

Hope this helps!

Answer:

a = 3

b = 4

c = 5

Step-by-step explanation:

Rhombus has all sides equal

c = EH = sqrt(4² + 3²) = 5

Diagonals are Perpendicular bisectors of each other

b = 4

a = 3

Answer:

the best answer for this is 8.5, if you choose to round up it would be about 9

Step-by-step explanation:

To estimate the quotient of 2 5/6 divided by 1/3, convert the mixed number to an improper fraction and multiply by the reciprocal of the divisor.

To find the best estimate for the quotient of  2 ⅝ divided by ⅓, we can convert the mixed number to an improper fraction and then multiply by the reciprocal of the divisor. First, convert 2 ⅝ to an improper fraction: 2 x 6 + 5 = 17/6. Next, multiply 17/6 by the reciprocal of 1/3: 17/6 x 3/1 = 51/6. Simplifying the fraction gives the answer as 8 1/2. Therefore, the best estimate for the quotient is 8 1/2.

https://brainly.com/question/16131717

#SPJ2

Answer:

The measurement which Jane finds to be 10 meters is the length of the banner.

Step-by-step explanation:

The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.

This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.

It is possible to find the AREA, or PERIMETER, or LENGTH.

But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.

Answer:

length

Step-by-step explanation:

for answer above: TYSM I NEEDED THAT SO BADLY i struggled with math my entire life and hardly understand when people teach math  that really helped explain that problem tysm!!!

Answer:

This number can be found using the Rule of 70, which describes the formula dt = 70 / r, where dt is the doubling time, and r is the annual rate of growth.

Step-by-step explanation:

24/6 = 4

20 x 2 = 40 x 2 = 80 x 2 = 160 x 2 = 320

20 ---> 320 in the first day.

Keep doing this equation. Multiply each day's end result by 2 four times for 9 more days.

Answer:

75 times

Step-by-step explanation:

First of all let's ook at the 36 possible outcomes and their sums.

2=1,1

3=1,2 2,1

4=1,3 ; 2,2 ; 3,1

5=1,4 ; 2,3 ; 3,2 ; 4,1

6=1,5 ; 2,4 ; 3,3 ; 4,2 ; 5,1

7=1,6 ; 2,5 ; 3,4 ; 4,3 ; 5,2 ; 6,1

8=2,6 ; 3,5 ; 4,4 ; 5,3 ; 6,2

9=3,6 ; 4,5 ; 5,4 ; 6,3

10=4,6 ; 5,5 ; 6,4

11=5,6 ; 6,5

12=6,6

Looking at the above, there are 4 sums equal to 5 out of a total of 36 sums.

Thus, probability of getting a sum equal to 5 is;

P(5) = 5/36

Now,since the cubes are rolled 540 times, number of times a sum equal to 5 will appear will be;

(5/36) x 540 = 75 times

Answer:

$18

Step-by-step explanation:

since she saved 20% you turn the percentage into a decimal which is .20 then multiply it by 15 because that's how much she saved and you get $3 which you add to $15 and you get the regular price which is $18

The square root 75 in  simplest radical form will be [tex]5\sqrt{3}[/tex].

We have to Express the square root 75 in  simplest radical form.

We know that An expression that uses a root, such as a square root, cube root is known as a radical notation.

First find the factors of 75.

The factors of 75 will be,

[tex]3\times5\times5[/tex].

Now,

[tex]\sqrt{75} =\sqrt{3\times5\times5}[/tex]

since 5 is in pair under the root so it will come out from the root,

[tex]\sqrt{75}=5\sqrt{3}[/tex]

Thus the simplified radical form is [tex]5\sqrt{3}[/tex].

For more details on Radical form follow the link:

https://brainly.com/question/9066665

Answer:

.26 = 26%     hope this helps!   :)

Step-by-step explanation:

.26

100 = 1.00

26 = .26

you just move the decimal point over 2

Answer:

26% = 0.26 in decimal form

Step-by-step explanation:

You just put a 0. in front of it,

take .26

Then 100 = 1.00

and 26 = .26

Hope This Helps:)

Would appreciate brainliest!!:)

Given:

The volume of the sphere = 12348π in³

To find the radius of the sphere.

Formula

The volume of a sphere of radius r is

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

According to the problem,

[tex]\frac{4}{3} \pi r^{3} = 12348\pi[/tex]

Eliminating π from both the side.

or, [tex]\frac{4}{3} r^{3}= 12348[/tex]

or, [tex]r^{3}=\frac{(12348)(3)}{4}[/tex]

or, [tex]r^{3}=9641[/tex]

or, [tex]r=\sqrt[3]{9261}[/tex]

or, [tex]r=21[/tex]

Hence,

The radius of the sphere is 21 inches.

Answer:

21 inches

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume

12348 pi = 4/3 pi r^3

Divide each side by pi

12348 pi/pi = 4/3 pi r^3 /pi

12348  = 4/3 r^3

Multiply each side by 3/4

12348 *3/4 = 4/3*3/4 r^3

9261 = r^3

Take the cubed root of each side

9261^ (1/3 ) = r^3 ^1/3

21 =r

Answer: A

Step-by-step explanation:

The expanded form for the series is 0 + 1+ 4 + 9 +3

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

[tex]_3\\\sum{n^2}+3\\n=0[/tex]

⇒(0)² + (1)² + (2)² + (3)² +3

⇒0 +1+ 4 + 9 +3

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

This means Jill has spent exactly half of her money and she has exactly half of her money too left.

The fraction of her money she has spent = (1/2)

Step-by-step explanation:

The total fraction of money Jill has spent = (fraction of money she spent on a new shirt) + (fraction of money she spent on pants) = (1/6) + (1/3) = (3/6) = (1/2)

This means Jill has spent exactly half of her money and she has exactly half of her money too left.

Hope this Helps!!!

The cost of an apple is 0.7 dollars and the cost of a banana is 0.35 dollars.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Two apples and five bananas cost £4.20.

Assuming no. of apples to be x and no. of bananas to be y.

∴ 2x + 5y = 4.20...(i) and,

Three apples and seven bananas cost £5.95.

∴ 3x + 7y = 5.95...(ii)

Now multiplying eqn(i) by 3 and eqn(ii) by 2 to cancel out x in both equations.

So, 6x + 15y = 12.6...(iii) and 6x + 14y = 11.9...(iv)

Subtracting eqn(iv) from eqn(iii) we get y = 0.7 and substituting value of y in eqn(iv) we get x = 0.35

learn more about linear equations here :

https://brainly.com/question/13738061

#SPJ2

Answer:

D

Step-by-step explanation:

Area of rectangle= length × breadth

Area of figure

[tex] = ( \sqrt{15x}) ( \sqrt{10x} ) \\ = \sqrt{(10x)(15x)} \\ = \sqrt{150 {x}^{2} } \\ = \sqrt{6(25 {x}^{2}) } \\ = (\sqrt{6} )( \sqrt{( {5x})^{2} } ) \\ = ( \sqrt{6} )(5x) \\ = 5x \sqrt{6} [/tex]

Answer:It’s b

Step-by-step explanation:

Girl it’s sum

Answer: 65535

Step-by-step explanation:

Answer:

I think it's 3.5

Step-by-step explanation:

Answer:

7(2x+3y+z)

Step-by-step explanation:

We can begin by noting a few things:

• dB represents the sound intensity in decibels

• I represents intensity

• I0 represents reference intensity

Assuming the reference intensity (I0) is the base level of hearing represented by the equation 1 • 10^(-12) watts per meter^2, we can incorporate 100 into the equation.

If the sound intensity of rustling leaves (I) is 100 times the reference intensity (I0), we can set up an equation to solve:

I = 100 • 10^(-12)

Now to calculate the intensity of rustling leaves in decibels:

dB = 10 • log10(100 • (1 • 10^(-12)) / (1 • 10^(-12)))

dB = 10 • log10(100) = 10 • 2 = 20 dB

Therefore, the sound intensity of rustling leaves is 20 decibels.

Answer:

Step-by-step explanation:

Both x and y have the exponent 1, and therefore this is a LINEAR equation.  NO, it is not an exponential function.

Final answer:

The function y=7x-3 is not an exponential function; it is a linear function with a slope of 7 and a y-intercept of -3.

Explanation:

The function given is y=7x-3. To determine whether this function is exponential, we should look at the form of the function. An exponential function has the form y = abˣ, where a is a constant, b is the base of the exponential (which is a positive real number other than 1), and x is the exponent. The given function, however, is a linear function because it can be rewritten in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, m (the slope) is 7, and b (the y-intercept) is -3. Therefore, y=7x-3 is not an exponential function; it is linear.

Answer: [tex]2 \°C/min[/tex]

Step-by-step explanation:

The rate of change is a measure in which one variable is modified in relation to another. In this case we have the variables:

Temperature in [tex]\°C[/tex]

Time in [tex]min[/tex]

Now, to calculate the rate of change, we have to divide one variable by the other. In this case the change in temperature [tex]\Delta T[/tex] divided by the time variation [tex]\Delta t[/tex].

Hence, assuming the ambient temperature of the glass is [tex]30 \°C[/tex] and the elapsed time [tex]15 min[/tex] we have:

[tex]\frac{\Delta T}{\Delta t}=\frac{30 \°C}{15 min}=2 \frac{\°C}{min}[/tex]

Answer:

The correct option is;

A)

Step-by-step explanation:

The box plot diagram will be constructed as follows

From the question data we have that;

9, 10, 4, 12, 15, 17, 18, 10, 12, 13

Rearranging we have

4, 9, 10, 10,  12, 12, 13, 15, 17,18,

The minimum = 4

The maximum = 18

Median = 12

The lower quartile Q₁ = 10

The upper quartile Q₂ = 15

Therefore, the correct option  for the flower blooms on Rose brushes is A.

Answer:

The box plot that correctly displays the data is A.

Correct statement, question and graph:

Adam recorded the number of flower blooms on each of his ten rose bushes.  

9, 10, 4, 12, 15, 17, 18, 10, 12, 13  

If he combined the number of blooms into one data set, which box plot correctly displays the data?

A)

B)

C)

D)

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's order the data from smallest to largest.

4, 9, 10, 10, 12, 12, 13, 15, 17, 18

2. Let's find the median, this way:

Median = (5th number + 6th number)/2

Median = 12 + 12/2 = 24/2 = 12

3. Let's find out the quartiles.

The first quartile is the median of the data points to the left of the median.

4, 9, 10, 10, 12

Q₁ = 10

The third quartile is the median of the data points to the right of the median.

12, 13, 15, 17, 18

Q₃ = 15

The box plot that correctly displays Q₁, median and Q₃ is box plot A.