Here is a Venn diagram. One of the numbers in the Venn diagram is picked at random. Find the probability that this number is in set C'

Answer:

38

Step-by-step explanation:

Using the five number summary it is 38 since it is 75 percent of the sample

You have the correct answer. Nice work

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Explanation:

If the values aren't sorted, then list them from smallest to largest. The values are already sorted for us, so we move onto the next step.

That next step is to find the median. The median is 29 because four values are smaller than it, and four values are larger than it. The value 29 is right in the middle. This value is in slot 5.

Next, split the data into two halves where L = {21,24,25,28} is the lower half and U = {35,37,39,42} is the upper half. As you can see, any value in set L is smaller than the median. While any value in set U is larger than the median.

The third quartile is the median of set U. We have four values in this set, so the median will be between slots 3 and 4 (between 37 and 39)

Average 37 and 39 to get (37+39)/2 = 38. We see that 38 is the midpoint of 37 and 39.

Therefore, the third quartile is 38.

Explanation:

Each fraction reduces to 1/2, so we have six copies of 1/2 being multiplied together. A shortcut to repeated multiplication like this is to use exponents

So you're really computing (1/2)^6 to get

(1/2)^6 = (1^6)/(2^6) = 1/64

Answer:

2.35*2/3=47/30

Step-by-step explanation:

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Work Shown:

Let x be the location of E on the number line.

Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2

midpoint = (endpoint1 + endpoint2)/2

C = (E+F)/2

Plug in E = x, C = -8 and F = 4. Then solve for x

C = (E+F)/2

-8 = (x+4)/2

(x+4)/2 = -8

x+4 = 2(-8) .... multiplying both sides by 2

x+4 = -16

x = -16-4 .... subtract 4 from both sides

x = -20

The location of point E on the number line is -20

-------------

As a check, lets add E and F to get E+F = -20+4 = -16

Then cut this in half to get -16/2 = -8, which is the proper location of point C

This confirms our answer.

Answer:

Step-by-step explanation:

Let x be the random variable representing the time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 1

σ = √variance = √0.01 = 0.1

the probability that the time taken for a randomly selected animal is between 1 and 1.1 minutes is expressed as

P(1 ≤ x ≤ 1.1)

For x = 1,

z = (1 - 1)/0.1 = 0

Looking at the normal distribution table, the probability corresponding to the z score is 0.5

For x = 1.1

z = (1.1 - 1)/0.1 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.84

Therefore,

P(1 ≤ x ≤ 1.1) = 0.84 - 0.5 = 0.34

The the proportion of animals for which the time taken is between 1 and 1.1 minutes is 0.34

Answer:

4^2

Step-by-step explanation:

4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!

Answer:

the answer is

Step-by-step explanation:

4 to the power of 2

you add 4 and 3 which is 7

and 7 subtract 5 which is

4 to the power of 2

Answer:

The two inequalities are;

P ≤ 90e^(0.047t)

P ≤ 270 + 100·t

Step-by-step explanation:

The parameters given for the testing of the new growth inhibitor are;

The growth rate of the bacteria = 4.7% exponentially

The growth inhibitor lowers the growth rate

The population of bacteria after time, t = P

The increase in the number of bacteria per unit time in the 100

The maximum number of bacteria in the standard tube = 270

Therefore, the number of bacteria after the first filling of the tube is P ≤ 270 + 100·t

The equation for exponential growth is [tex]A_0 e^{kt}[/tex]

Where:

A₀ = Initial population = 90

k = Percentage growth rate as percentage

t = Time

The equation for the population of bacteria under the influence of the inhibitor is therefore;

P ≤ [tex]90 \times e^{0.047 \cdot t}[/tex] which is P ≤ 90e^(0.047t).

Answer:

P≤270+100t

P≤90e^(0.047t)

Answer:

Both/Neither.

Step-by-step explanation:

For the circle, the area is π(6)^2= 36π. 3/4 of that is 27π. Now, for the ring, area of outer circle is 36π. The area of inner circle is 9π. So, area of ring is 27π. That means, both will take the same amount of paint.

Answer:

2/12

Step-by-step explanation:

You have 12 possible outcomes. Greater than 10 gives you 2 outcomes. 2/12

Answer:

1/6

Step-by-step explanation:

There are 12 equally likely outcomes, so the total number of possible outcomes is 12.

There are 2 numbers greater than 10: 11 and 12.

The number of desired outcomes is 2.

p(event) = (number of desired outcomes)/(total number of possible outcomes)

p(greater than 10) = 2/12 = 1/6

Answer:

x=8 degrees y=21 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

If she can husk 8 in 24mins

⟩ 8 = 24

Let x = ears of corn in 33mins

⟩ 8 = 24

x = 33

If less more divide

⟩ 24x = 8×33

⟩ x = 264÷24

⟩ x = 11 mins

Answer:

61

Step-by-step explanation:

Definition of conguency

*figure on the right is rotated a bit

Answer:

[tex]\boxed{BC = 11.62}[/tex]

Step-by-step explanation:

Tan 54 = [tex]\frac{opposite}{adjacent}[/tex]

Where opposite = 16, Adjacent = BC

1.376 = [tex]\frac{16}{BC}[/tex]

BC = 16/1.376

BC = 11.62

Answer:

11.62468045 or 11.6 to 1 decimal place

Step-by-step explanation:

→ We need to utilise trigonometry. The first step would be to list out the formula triangles

Tan = Opposite ÷ Adjacent

Sin =  Opposite ÷ Hypotenuse

Cos = Adjacent ÷ Hypotenuse

→ Now we need to know which triangle to use, we do that by identifying the side or length we are not given in the triangle and then finding a formula without the name of the given side. First let's identify all the sides.

Opposite = AC = 16

Adjacent = BC = We need to find this out

Hypotenuse = AB = No given value

→ Now we look for a formula with hypotenuse

Tan = Opposite ÷ Adjacent

→ The (Tan = Opposite ÷ Adjacent) is the formula we are going to be using. Since we want to find out the adjacent, we have to rearrange to get adjacent as the subject

Adjacent = Opposite ÷ Tan

→ Now we identify the Opposite and the Tan

Opposite = 16

Tan = 54°

Side note ⇒ Sin, cos and tan will always be the angles

→ Substitute in the values in the formula

Adjacent = Opposite ÷ Tan ⇔ Adjacent = 16 ÷ Tan (54) ⇔ Adjacent = 11.6

→ The adjacent is 11.6 to 1 decimal place

Answer:

The area of the square adjacent to the third side of the triangle is 11 units²

Step-by-step explanation:

We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,

x² = 33,

x = [tex]\sqrt{33}[/tex] .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.

x² = 44,

x = [tex]\sqrt{44}[/tex] .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.

Let x = the length of the side of the unknown square's area -

[tex]\sqrt{(44)}^2[/tex] = [tex]x^2[/tex] + [tex]\sqrt{33}^2[/tex],

x = [tex]\sqrt{11}[/tex] ... And [tex]\sqrt{11}[/tex] squared is 11, making the area of this square 11 units².

Answer:

Step-by-step explanation:

If the triangle is right then area of square adjacent to the longest side is equal to sum of areas of squares adjacent to its other sides. (As in Pythagorean theorem)

So:

    33 units² + ? =  44 units²

     ? =  44 units² - 33 units²

     ? = 11 units²

Answer:

The values of x are:

x : -3, -2, -1, 0, 1, 2, 3

Let's solve each by putting each value of x into each equation:

a [tex]y = 2^x[/tex]

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. [tex]y = -2^x[/tex]

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. [tex]y = (3)(2^x)[/tex]

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Input these values into the table.

Answer:

a y = 2^x

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. y = -2^x

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. y = (3)(2^x)

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Step-by-step explanation:

Answer:

Second choice.

f(x) = 1/2(x - 6)^2 + 3/2.

Step-by-step explanation:

The distance of a point  (x, y) from the focus = the distance of the point from the directrix, so:

(x - 6)^2 + (y - 2)^2 = (y - 1)^2

x^2 - 12x + 36 + y^2 - 4y + 4 = y^2 - 2y + 1

x^2 -12x + 39 = 2y

y = f(x) = 1/2 (x^2 - 12x + 39)

I see you want the answer in vertex for so it is:

f(x)  = 1/2 [ (x - 6)^2 - 36)  + 39)

f(x)  = 1/2(x - 6)^2 + 3)

f(x) = 1/2(x - 6)^2 + 3/2.

A parabola is a plane that is approximately U-shaped.

The equation of the parabola is: [tex]\mathbf{y = \frac{1}{2}(x - 6)^2 + \frac 32}[/tex]

The given parameters are:

[tex]\mathbf{Focus = (6,2)}[/tex]

[tex]\mathbf{Directrix: y = 1}[/tex]

First, equate the directrix to 0

[tex]\mathbf{y - 1 = 0}[/tex]

The equation is then calculated as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = (y- 1)^2}[/tex]

Where:

[tex]\mathbf{(a,b) = (6,2)}[/tex]

So, we have:

[tex]\mathbf{(x - 6)^2 + (y - 2)^2 = (y- 1)^2}[/tex]

Expand

[tex]\mathbf{x^2 - 12x +36 + y^2 - 4y + 4 = y^2 - 2y + 1}[/tex]

Subtract y^2 from both sides

[tex]\mathbf{x^2 - 12x +36 - 4y + 4 =- 2y + 1}[/tex]

Collect like terms

[tex]\mathbf{x^2 - 12x +36 + 4 - 1 =4y - 2y}[/tex]

[tex]\mathbf{x^2 - 12x +39 =2y}[/tex]

Divide through by 2

[tex]\mathbf{y = \frac{1}{2}(x^2 - 12x +39)}[/tex]

Express 39 as 36 + 3

[tex]\mathbf{y = \frac{1}{2}(x^2 - 12x +36 + 3)}[/tex]

Factor out 3/2

[tex]\mathbf{y = \frac{1}{2}(x^2 - 12x +36) + \frac 32}[/tex]

Expand the bracket

[tex]\mathbf{y = \frac{1}{2}(x^2 - 6x - 6x +36) + \frac 32}[/tex]

Factorize

[tex]\mathbf{y = \frac{1}{2}(x(x - 6) - 6(x -6)) + \frac 32}[/tex]

Factor out x - 6

[tex]\mathbf{y = \frac{1}{2}((x - 6) (x -6)) + \frac 32}[/tex]

Express as squares

[tex]\mathbf{y = \frac{1}{2}(x - 6)^2 + \frac 32}[/tex]

Hence, the equation of the parabola is: [tex]\mathbf{y = \frac{1}{2}(x - 6)^2 + \frac 32}[/tex]

Read more about equations of parabola at:

https://brainly.com/question/4074088

Answer:

sss

Step-by-step explanation:

as you seen your puestion it says they are similar by side if you ask me by what because your given is side

Answer:

144

Step-by-step explanation:

We will use permutations to solve this problem

There are 4 pairs each having a male and a female.

The total number of sample points is 4! = 4*3*2*1= 24

He chooses the male first  then the number of sample space he is left with are 3! = 3*2*1=6

The total number of ways he can select is 4! 3! = 24 * 6= 144

Another way of finding it out is

he has 4 pairs  each having a male and a female so he chooses 1st male then he would choose from this

4 female choices*3 male choices * 3 female choices *2 male choices *2 female choices *1 male choices *1 female choices *= 4*3*3*2*2*1*1= 144

The zookeeper can feed all the animals in 144 ways

The number of different animals is given as:

[tex]n = 4[/tex]

The number of ways to feed any of the 4 male animals is:

[tex]Ways = 4![/tex]

Expand

[tex]Ways = 4 \times 3 \times 2 \times 1[/tex]

[tex]Ways = 24[/tex]

From the question, we understand that the female of the particular animal cannot be selected (yet).

So, there are 3 female animals left.

The number of ways to feed any of the 3 female animals is:

[tex]Ways = 3![/tex]

Expand

[tex]Ways = 3 \times 2 \times 1[/tex]

[tex]Ways = 6[/tex]

So, the number (n) of ways to feed all the animals is:

[tex]n = 24 \times 6[/tex]

[tex]n = 144[/tex]

Hence, he can feed all the animals in 144 ways

Read more about permutation at:

https://brainly.com/question/11706738

Answer:

Step-by-step explanation:

given,

initial count of bacteria(P)=4,80,000 ,

increasing rate of bacteria(R)=2.5%,

time(T)= 2 hours

amount(A)=p(1+R/100)^T

A=480000(1+2.5/100)^2

A=480000*(1681/1600)

A=504300

therefore, the bacteria at the end of 2 hours is 504300(approx)

Answer:

itchkirdcbn

Step-by-step explanation:

86rfbbcgui6g....

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

[tex] a(n) = a ({r})^{n - 1} [/tex]

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

[tex]a(n) = 5( {2})^{n - 1} [/tex]

Hope this helps you

Answer:

6+3x

Step-by-step explanation:

Have a good day and stay safe!

Answer:

Let the number be x

The above statement is written as

Hope this helps you

Answer:

20:27

Step-by-step explanation:

Answer:

1. 2 pinch of salt

2. 3/2 egg =1.5 eggs

3. 33g of flour=1/3 pinch of salt

33g of flour=1/3 tbsp of oil

33g of flour=1/3 egg

33g of flour=100ml of milk

4. 24 servings

5. 300g of flour

Step-by-step explanation:

12 servings

Plain flour=100g

Salt=a pinch

Oil= 1 tbsp

Egg=1

Milk=300 ml

1. Pinches of salt in 24 servings

24

12 servings=1 pinch of salt

24 servings=24/12*1 pinch of salt

=2*1 pinch of salt

=2 pinch of salt

2. Egg needed for 18 servings

12 servings=1 egg

18 servings=18/12 * 1 egg

=3/2* 1 egg

=3/2 egg

3. If there are 33 grams of flour,

The other ingredients will be

33g/100g=1/3

The other ingredients will be 1/3 of the original measurement

Salt=a pinch

33g of flour=1/3 pinch of salt

Oil= 1 tbsp

33g of flour=1/3 tbsp of oil

Egg=1

33g of flour=1/3 egg

Milk=300 ml

33g of flour=1/3 of 300ml

=1/3*300

=300/3

=100ml of milk

4. If two eggs were used, grams of flour needed is

1 egg =12 servings

2 eggs=2* 12 servings

=24 servings

5. Flour needed if 900ml milk is used

100g flour=300ml of milk

900ml of milk=300ml * 3

Therefore,

900ml of milk=100g of flour *3

900ml of milk=300g of flour

Answer:

slope= 1/2x

Step-by-step explanation:

For this line, you can count it going up 7 and to the right 14. Next, to calculate the slope, you take the change in y over the change in x, and you take those numbers (7 and 14) and divide 7 by 14 to get the slope, which simplifies to 1/2x, the slope.

Answer:

1/2

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

where (x1,y1) and (x1, y2) are 2 points the line passes through.

We are given the points:

(-7,1) and (7,8). Match the corresponding variables with the points.

x1= -7

y1= 1

x2= 7

y2= 8

Substitute these values into the formula.

[tex]m=\frac{8-1 }{7--7 }[/tex]

Solve the numerator first. Subtract 1 from 8.

[tex]m=\frac{7 }{7--7 }[/tex]

Now solve the denominator. Subtract -7 from 7, or add 7 and 7.

[tex]m=\frac{7}{7+7}[/tex]

[tex]m=\frac{7}{14}[/tex]

This fraction can be simplified. Both 7 and 14 can be divided evenly by 7.

[tex]m= \frac{(7/7)}{(14/7)}[/tex]

[tex]m=\frac{1}{2}[/tex]

The slope of the line is 1/2.

Answer:

i dont get it, can you please rephrase it?

Answer:

Solution,

Area of rectangle= 524.4 m^2

Length(L)= 6.9 m

Breadth(B)=?

Now,

[tex]area = length \times breadth \\ or \: 524.4 = 6.9 \times b \\ or \: 524.4 = 6.9b \\ or \: b = \frac{524.4}{6.9} \\ b = 76 \: m[/tex]

Again,

Perimeter of rectangle:

[tex]2(l + b) \\ = 2(6.9 + 76) \\ = 2 \times 82.9 \\ = 165.8 \: m[/tex]

Hope this helps...

Good luck on your assignment.....

Answer:

The perimeter of the rectangle is 165.8cm

Step-by-step explanation:

Area of a rectangle = length × width

Area = 524.4m²

length = 6.9m

524.4 = 6.9 × width

width = 524.4 / 6.9

width = 76m

Perimeter of a rectangle =

2(length ) + 2(width)

length = 6.9m

width = 76m

Perimeter = 2( 6.9) + 2(76)

= 13.8 + 152

The final answer is

= 165.8cm

Hope this helps you

Answer:

1:00 PM

Step-by-step explanation:

According to the conditions given in the question, i confirm that the time time asked here is 1:00 PM.

at 1:00 PM, its 5 minutes (odd),  clearly, more than half an hour away from the next o clock. It is closer to 5 PM than 5 AM.

Answer:

Options 2, 4, and 5 are correct (from top to bottom)

Step-by-step explanation:

g(0)=0

g(1)=1

g(-1)=1

g(4)≠-2

g(4)=2

g(1)≠-1

g(1)=1

Options 2, 4, and 5 are correct (from top to bottom)

Answer:

  d.  x° = 27°, y° = 63°

Step-by-step explanation:

To choose the correct answer, you only need to know that the smaller angle is opposite the shorter side. x° is opposite the shorter side so will have a smaller measure than y°.

The correct choice is ...

  d.  x° = 27°, y° = 63°

_____

If you want to actually go to the trouble to determine the angles exactly, you can use the tangent relation:

  Tan = Opposite/Adjacent

  tan(x°) = 4/8

  x° = arctan(1/2) ≈ 26.56°

  x° ≈ 27°

y can be computed as the complement of this, or can be computed in similar fashion:

  tan(y°) = 8/4

  y° = arctan(2) ≈ 63.43°

  y° ≈ 63°

Answer:

a) x = 5

b) x = 4

Step-by-step explanation:

a) x:2 = 10:4

Product of extremes = Product of means

=> x*4 = 10*2

=> 4x = 20

Dividing both sides by 4

=> x = 5

b) 3:x = 6:8

Product of extremes = Product of Means

=> 3*8 = 6*x

=> 24 = 6x

Dividing both sides by 6

=> x = 4

Answer:

Solution,

[tex]a. \: \: \frac{x}{2} = \frac{10}{4} \\ \: \: or \: x \times 4 = 10 \times 2 \: ( \: cross \: multiplication) \\ \: \: or \: 4x = 20 \\ or \:x = \frac{20}{4} \\ \: \: \: x = 5[/tex]

[tex]b. \: \frac{3}{x} = \frac{6}{8} \\ or \: 6 \times x = 3 \times 8 \: ( \: cross \: multiplication) \\ or \: 6x = 24 \\ \: or \: x = \frac{24}{6} \\ x = 4[/tex]

Hope this helps...

Good luck on your assignment