The exact value of sin
5pi/12 is:

We will see that the probabilities are:

First, the probability of getting a particular color of marker is given by the quotient between the number of markers of that color and the total number of markers

There are:

9 red markers.

5 blue markers.

14 yellow markers

8 green markers.

For a total of: 9 + 5 + 14 + 8 = 36.

a) P(yellow, then red)

First, the probability of getting a yellow marker is:

p = 14/36.

Then the probability of getting a red marker (notice that now there are 35 markers in total) is:

q = 9/35.

Then the joint probability is:

P(yellow, then red) = p*q = ( 14/36)*(9/35) = 0.1

b) P(blue, then green)

First, the probability of getting a blue marker is:

p = 5/36.

After, the probability of getting a green marker is:

q = 8/35.

So the joint probability is:

P(blue, then green) = (5/36)*(8/35) = 0.03

c) P(both red).

First, the probability of getting a red marker is:

p = 9/36

Now there are 8 red markers and 35 markers in total, so the probability of getting another red marker is:

q = 8/35

The joint probability is:

P(both red) = (9/36)*(8/35) = 0.06

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Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

For 86 days Jose had volunteered.

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

A unit rate is a cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Let x be the total days

equate the ratios of days and hours as shown:

x/34.4 = 1/0.4

=> x= 34.4/ 0.4 = 86

So, for 86 days Jose had volunteered.

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\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \huge \boxed{\mathfrak{Answer} \downarrow}\)

Let's take Yasmine's age as 'k'.

(1) Given that, Yasmine's mom = 4 times as old as Yasmine = 4k (keyword ⇨ times = multiplication)

So, Yasmine's mom = 4 × k

____________

(2) Given that, Yasmine's sister = 10 years older than Yasmine = 10 + k (keyword ⇨ older than = addition)

So, Yasmine's sister = 10 + k

Step 1: Let's review the information given to us to answer the question correctly:

Initial population = 120 in 1990

Final population = 156 in 1994

Step 2: Let's find the change,in population, this way:

Change in population = Final population - Initial population

Change in population = 156 - 120

Change in population = 36

Step 3: Now, we know the change in population but we need to find the rate.

Rate in population = Change in population/Number of years

Rate in

Answer:

probability of rolling a number greater than 4

= 12/4 = 3

p(4) = 3

Mark as brainlest. Hope it helps...

Answer:

a

Step-by-step explanation:

aa

\(U=(15,22)~~,~~(5,-4)\hspace{5em}(-4-22~~,~~5-15)\stackrel{ \textit{component form of U} }{\implies (-10~~,~-26)} \\\\\\ ~~ \hspace{15em}-2(-10~~,~-26)\implies \stackrel{ \textit{component form of V} }{ (20~~,~~52)}\)

Check the picture below.

Answer:

  d = 23 1/3

Step-by-step explanation:

You want to solve the proportion (0.3d -1)/(3 1/3) = (0.84)/(7/15).

  \(\dfrac{0.3d-1}{3\dfrac{1}{3}}=\dfrac{0.84}{\dfrac{7}{15}}\qquad\text{given}\\\\\\\dfrac{3(0.3d-1)}{10}=\dfrac{15(0.84)}{7}\qquad\text{invert and multiply}\\\\0.09d -0.3=1.8\qquad\text{simplify}\\\\0.09d = 2.1\qquad\text{add 0.1}\\\\d=\dfrac{2.10}{0.09}=\dfrac{70}{3}\qquad\text{divide by 0.09}\\\\\boxed{d=23\dfrac{1}{3}}\)

__

Check

  (0.3·(70/3) -1)/(3 1/3) = 0.84/(7/15)

  (7 -1)/(10/3) = 1.8

  6(3/10) = 1.8 . . . . . . true

Answer: 23 1/3

Step-by-step explanation:

Perimeter is the lengths of the edges added up. And if the shape is a rectangle, there are 4 edges so we divide by 4. 44/4=11. each of the four sides are 11 feet long.

width=11

length=11

area=width*length=121

Answer: V = 193.25π

Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:

V =  \(\pi\int\limits^a_b {[f(x)]^{2}} \, dx\)

f(x) is the area is the function that rotated forms the solid.

For f(x)=y= \(\frac{5}{36}-x^{2}\) and solid delimited by x = 2 and x = 4:

V = \(\pi\int\limits^4_2 {(\frac{5}{36}-x^{2} )^{2}} \, dx\)

V = \(\pi\int\limits^4_2 {(\frac{25}{1296}-\frac{10x^{2}}{36}+x^{4}) } \, dx\)

V = \(\pi(\frac{25.4}{1296}-\frac{10.4^{3}}{108}+\frac{4^{5}}{5}-\frac{25.2}{1296}+\frac{10.2^{3}}{108}-\frac{2^{5}}{5} )\)

V = \(\pi(\frac{50}{1296}-\frac{560}{1296}+\frac{992}{1296} )\)

V = 193.25π

The volume of a solid formed by y = \(\frac{5}{36} - x^{2}\) and delimited by x = 2 and x = 4

is 193.25π cubic units.

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer: 10 1/3 or 31/3

Step-by-step explanation:

Following bedmas first we do division then addition ( this case you would also switch your fraction into mixed fractions)

(55/6 / 5/1) + 3 1/3

(55/6 x 1/5) + 10/3

11/6 + 10/3

To add fraction you have to have the same denominator, so you multiply it till it has the same denominator

11/6 + 20/3

31/3 = 10 1/3 is your final answer

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

1496 cubic inches

Step-by-step explanation:

Answer:

39.8

Step-by-step explanation:

5 + 25 = 30

3.14 * 2.5^2 ( divide it in two since its a semi circle)

add that result with 30

Answer is the third graph it was just an error..

Answer:

91x-35 sorry couildnt graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

  (b)  56 ft

Step-by-step explanation:

The length is 4 more feet than the width of 12 feet, so is 12+4 = 16 feet.

The perimeter of a rectangle is twice the sum of length and width:

  P = 2(L +W)

  P = 2(16 ft +12 ft) = 2(28 ft)

  P = 56 ft

The perimeter of the sandbox is 56 feet.

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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The number of months Mark can have the phone is given by the equation

A = 11.4 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

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What is the percentage of values in a normal distribution between 16 and 21 with a mean of 16 and a standard deviation of 5, according to the 68-95-99.7 rule is approximately 68%.

How to calculate the percentage of values in a normal distribution?

According to the 68-95-99.7 rule, approximately 68% of the values in a normal distribution are within one standard deviation of the mean, approximately 95% are within two standard deviations of the mean, and approximately 99.7% are within three standard deviations of the mean.

In this case, we want to find the percentage of values in the distribution between 16 and 21.

The range from 16 to 21 is one standard deviation above the mean, since the mean is 16 and the standard deviation is 5. Therefore, approximately 68% of the values in the distribution will fall between 16 and 21.

So, the answer is approximately 68%.

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Answer:

64 ft

Step-by-step explanation:

The shadow of the post is 12 feet long. The shadow of the flagpole is 96 feet long.

The shadow of the flagpole is 8 times longer than the shadow of the post.

8 x 8 = 64

Answer:

64

Step-by-step explanation:

Use a proportion.

Use ratios of height to shadow length.

Let the height of the flagpole = x.

8 ft is to 12 ft as x is to 96 ft

8/12 = x/96

2/3 = x/96

3x = 2 × 96

x = 2 × 32

x = 64

Answer: 64

Answer:

5328 cups.

Step-by-step explanation:

Given that 333 gallons

We know that

1 gallons = 16 cups

1 cups = 0.0625 gallons

Therefore,from the above conversion we can say that

Now by putting the values in the above conversion

333 gallons = 16 x 333 cups

333 gallons = 5328 cups

So , we can say that 333 gallons is equal to 5328 cups.

Thus the answer will be 5328 cups.

Answer:

48 cups(BTW he meant 33 galons, IVE had this before). lol you need to put the double number line image. first u have to divide 64/4 to get 16, Then it says "How many cups are in 3 gallons". There fore, U multiply 16 to 3 to get ur answer "48".

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

To find the unit rate (amount per hour) you divide the given amount into the given number of hours:

Then, the unit rate is $16.15/hour