Out of 140 students, 92 are taking an English course, 74 are taking a history course and 41 are taking both. Find the number of these 140 students who are taking a history course but not an English course?

Answer:

The ranking of the top three teams could occur in 720 ways.

Step-by-step explanation:

The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In how many ways could the ranking of the top three teams occur?

Three teams from a set of 10. So

[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]

The ranking of the top three teams could occur in 720 ways.

Answer:

2 2/4

Step-by-step explanation:

Since 1/2 of tablespoon of coca can make 1 1/4 cup of milk...

1 1/4 + 1 1/4 = 2 2/4

Answer:

false

Step-by-step explanation:

200oz= 12.5 pounds

Answer:

false

Step-by-step explanation:

12 pound=192 ounces

Answer:

1. 40

2. 40

3. 140

4. 210.5

I tried, hope this helps :)

Answer:

about 64.03

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

34/200=.17

.17×300= 51

Answer:

QPN and TSU

Step-by-step explanation:

They're both exterior angles and they are both alternate to each other.

Answer:

z less than -2

Step-by-step explanation:

z negative times negative is positive and 1 x 7 is 7

z+7 less than 5

z less than 5 - 7 because if a positive number crosses the sign it becomes negative

z less than -2 because 5-7 is -2

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

Answer:

no hay imagen lo siento

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

there are 4 of the exact same line going in 4 directions

Answer:

[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions

Step-by-step explanation:

Given

[tex]-4x + 5 > -5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Required

Determine if their solution is x < 2.5 or x > 2.5

[tex]-4x + 5 > -5[/tex]

Collect like terms

[tex]-4x>-5-5[/tex]

[tex]-4x>-10[/tex]

Divide by -4

[tex]x<\frac{-10}{-4}[/tex]

[tex]x<2.5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Open bracket

[tex]-25 > -5x - 12.5[/tex]

Collect like terms

[tex]5x > 25- 12.5[/tex]

[tex]5x > 12.5[/tex]

Divide by 5

[tex]x > \frac{12.5}{5}[/tex]

[tex]x > 2.5[/tex]

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.

Answer:

The answer is c

Step-by-step explanation:

Answer: There is no picture I will edit my answer when you add one

Step-by-step explanation:

Answer:

I need the picture or the shape please and thank you

Step-by-step explanation:

Answer:

median-75

mode-70

range-40

mean-77

Step-by-step explanation:

Answer:

j(x)=a(x+9)(x-2)

j(x)=1(x+9)(x-2) < final answer

Answer:

The probability of pulling out a blue marble is 33.3%.

Step-by-step explanation:

Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:

28 - 1 = 27

9/27 = X

0.333 = X

0.333 = 33.3%

Therefore, the probability of pulling out a blue marble is 33.3%.

Answer: [tex]\dfrac{20}{7}[/tex]

Step-by-step explanation:

Given

The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides

Suppose the corresponding side on figure A is [tex]x[/tex]

On solving

[tex]\Rightarrow \dfrac{16}{49}=[\dfrac{x}{5}]^2\\\\\Rightarrow \dfrac{x}{5}=\sqrt{\dfrac{16}{49}}\\\\\Rightarrow \dfrac{x}{5}=\dfrac{4}{7}\\\\\Rightarrow x=\dfrac{20}{7}[/tex]

Answer:

B

Step-by-step explanation:

Firstly, we will take a look at the equation and the options listed to choose from.

Secondly, we notice these options are reffering to rational and irrational numbers.

A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.

As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.

.............................................................................................................

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)

B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.

According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.

By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.

[tex]A = (3)\cdot \sqrt{5}[/tex]

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

Hence, the right answer is B.

We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650

Answer: The required z-score = 1.25

Step-by-step explanation:

Let x be a random variable that denotes the scores in the exam.

The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]

As per given, we have

X= 625, mean=500, standard deviation = 100

Z-score = [tex]\dfrac{625-500}{100}[/tex]

i.e. Z-score = [tex]\dfrac{125}{100}[/tex]

i.e. Z-score =1.25

Hence, the required z-score = 1.25

Answer:

ok if u say so

Step-by-step explanation:

Answer:

23.2, exact is 22.9333334

Step-by-step explanation:

28 2/3 is around 28.5 ,4/5 is .75

28.5 * .75 = 21.375

[1] … … 2x₁ + 0x₂ + 3x₃ = 3

[2] … … 4x₁ - 3x₂ + 7x₃ = 5

[3] … … 8x₁ - 9x₂ + 15x₃ = 10

Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :

-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10

-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10

-4x₁ - 6x₃ = -5

[4] … … 4x₁ + 6x₃ = 5

Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :

-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5

-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5

0 = -1

which is a contradiction. This means the system has no solution.

Answer:

The answer is 39 cm squared

Answer:

A- II

B- I

C- III

D- IV

Step-by-step explanation:

Answer:

HEHEHEH I NEED POINTS-

Step-by-step explanation: