Find the mean of the following data set: (Round to the nearest 10th) 2,3,10,15,20,24,30

Answer:

A: 0.714

Step-by-step explanation:

four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys

3 even + 3 purple - the purple even ( no double counting) = 5

P( purple or even) = purple or even / total

                              = 5/7

                              = .71428

Answer:

0.62

Complete question:

What is the probability that at Aya will be offered a coupon on at least one of the days she visits the website?

Step-by-step explanation:

assuming,

A: Aya gets a coupon one day. P(A) = 0.15

B: Aya doesn't get a coupon one day. P(B) = 1 - 0.15 = 0.85

Aya doesn't get a coupon in any of 6 days  = P(B)^6 = 0.85^6 = 0.38

The probability of Aya getting at least 1 coupon after 6 days is the complement of don't getting any coupon after 6 days, that is:

1 - P(B)^6=  1 - 0.38 = 0.62

Answer:

The number of pens sold on Monday is 107 pens

Step-by-step explanation:

total pack of pen sold by the retailer in 3 days =  10 packs

total number of pens in the 10 packs = 48 x 10 = 480 pens

let the number of pens sold on Monday = x

let the number of pens sold on Sunday = y

let the number of pens sold on Tuesday = z

He sold twice as many pens on Sunday than on Monday

y = 2x ------equation (1)

He sold 55 pens fewer on Tuesday than on Sunday

y = z + 55 ------equation (2)

total number of pens sold in the three days

y + z + x = 480  ------equation (3)

from equation (1) make x the subject of the formula

x = y/2

from equation (2) make z the subject of the formula

z = y - 55

substitute the value of x, and z into equation (3)

y + y/2 + y - 55 = 480

2y + y/2 = 480 + 55

5y/2 = 535

5y = 535 x 2

5y = 1070

y = 1070 / 5

y = 214

The number of pens sold on Monday is:

x = y / 2

x = 214 / 2

x = 107 pens

Thus, the number of pens sold on Monday is 107 pens

Answer:3/4

Step-by-step explanation:

1x3=3

Answer:

I used an online calculator and I got 0.75

Step-by-step explanation:

Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3

Step-by-step explanation:

1.  there is no numbers to multiply together, so just add the a's and b's

2.3 stands alone. add the m's and n's together. getting m^2 and n^5

3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3

Lmk if it helps. :)

Answer: f(4) = 21

Step-by-step explanation:

2(4)^2-11

4^2 = 16

2(16)-11

Multiply 2 and 16

32 - 11

Subtract

21

Answer:

21

Step-by-step explanation:

f(x)= 2x^2-11

Let x= 4

f(4)= 2*4^2-11

    = 2 * 16 - 11

     = 32 -11

      21

Answer:

  1/2 = 2^-1 = 1/2

Step-by-step explanation:

The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...

  [tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]

__

Additional comment

It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.

The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.

Answer:

Los triangulos son iguales porque tienen dos lados y el angulo comprendido  respectivamente iguales, por tanto

[tex]3x = x+8\\2x=8\\x=4\\[/tex]

Answer:

Below in bold.

Step-by-step explanation:

9x^2 - 16

Comparing this with the standard form

ax^2 + bx + c

ac = 9*-16 = -144

b = 0

-12 and 12 multiply to get ac and add to get b.

Factored form is

(3x - 4)(3x + 4).

The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The quadratic equation is,

⇒ 9x² - 16

Now, We know that;

General form of quadratic equation is,

⇒ ax² + bx + c

Here, The quadratic equation is,

⇒ 9x² - 16

Hence, By comparing,

⇒ a = 9

⇒ b = 0

⇒ c = - 16

Thus, The value of ac is,

⇒ ac = 9 × - 16

        = - 144

And, The factored form is,

⇒ 9x² - 16

⇒ (3x)² - 4²

⇒ (3x - 4) (3x + 4)

Thus, The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

Learn more about the quadratic equation visit:

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Answer:

112

Step-by-step explanation:

find LCM

4,7,8,16=112

Answer:

3

Step-by-step explanation:3x2=6

Answer: 88 cm

Step-by-step explanation:

The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,

616=πr²

196=r²

r=14

Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.

C=2π(14)

C=28π

C=88 cm

Answer: 87.96 cm

Step-by-step explanation:

Radius = √a/π

=√616 / π = 14 cm

Circumference = 2πr

= 2 x π x 14

= 87.96 cm

Answer:

false

Step-by-step explanation:

that is  the definition of a perpendicular line  

Answer:

3 (negative 64 divided by 8) + 25 = 1

Step-by-step explanation:

Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14

8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20

3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1

Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3

The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25

Answer:

C

Step-by-step explanation:

i took the test

Answer:

The number of men to number of women be 7 : 8 .

Step-by-step explanation:

Answer:

7:8

Step-by-step explanation:

Answer:

When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)

Here whe have the translation T(-2, 5)

a) if our pair is (2, 5) then:

T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)

b) if our pair is (-1, 7)

T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)

Answer:

Step-by-step explanation:

10x^3y^2

10(-2)^3 * (-3)^2 = -720

Answer: Negative 720

Step-by-step explanation:

-2 * -2 * -2 = -8

10 * -8 = -80

-3 * -3 = 9

-80 * 9 = -720

Answer:

Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.

Step-by-step explanation:

i hope this is what u are looking for

Answer:

It is expected to be at a distance of 200 ft below the sea level

Step-by-step explanation:

We are told that the sub marine has a descending rate of 40 ft per minute.

Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft

Thus, the submarine is expected to be 200ft below sea level

Answer:

y= -4

Step-by-step explanation:

x+y=42.   We know that x plus y equals 42.

x=2y .   We also know that x equals twice y.

2y+y=42.   Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14.   3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42.   Now that we know what y equals, let's replace y with 14 from the original equation.

x=28.  Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

The value of the variable y at x = -8, will be negative 49.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The numbers x and y are inversely proportional. Then we have

y ∝ 1/x

y = k/x    ...1

When the sum of x and y is 42. Then the equation will be

x + y = 42   ...2

x is twice y. Then the equation will be

x = 2y   ...3

From equations 2 and 3, we have

2y + y = 42

3y = 42

y = 14

Then the value of x will be

x = 2(14)

x = 28

Then the value of k will be

14 = k / 28

k = 392

Then the equation will be

y = 392 / x

Then the value of the variable y at x = -8, will be

y = 392 / (-8)

y = -49

Thus, the value of the variable y at x = -8, will be negative 49.

More about the ratio and the proportion link is given below.

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Answer:

[tex]58[/tex]

Step-by-step explanation:

[tex]-7n+366[/tex]

[tex]-7(44)+366[/tex]

[tex]-308+366[/tex]

[tex]=58[/tex]

Answer:

5.8 is what I think it is. I also got 4.6 on another calculator.

Step-by-step explanation:

I did it on math-way.

Answer:

I'm not sure I feel like it's A

Step-by-step explanation:

-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.

If I were you I would not trust my answer

The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The two points are:

M(-8,11) and N(3,7)

From the distance formula, we can find the distance between these two points:

Applying the distance formula:

[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]

d = √137

d = 11.7 units

Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

Learn more about the distance formula here:

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Answer:

So it will take the stone 1 (one) second to reach its maximum height.

Step-by-step explanation:

Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:

[tex]f(x)=a\,(x-x_v)^2+y_v[/tex]

where the pair of coordinates [tex](x_v,y_v)[/tex] are the x coordinate of the vertex and the y coordinate of the vertex.

Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.

So it will take the stone 1 (one) second to reach its maximum height.

Answer:

6 + 8

Step-by-step explanation:

6-(-8)= 6+8

Answer:

4,35

Step-by-step explanation:

4/7 = 20/35

Converting it into ratio form

4:7 = 20:35

The Extremes of this proportion are 4,35

While, the means of this proportion are 7, 20

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's simplify the number which is all you can do .

[tex]x^{4} -8x^{2} -33-14y-y^{2}[/tex]

= [tex]x^{4} +-8x^{2} +-33+-14y+-y^{2}[/tex]

Answer:

=[tex]x^{4} -8x^{2} -y^{2} -14y+-y^{2}[/tex]