Find the number that makes the ratio equivalent to 4:1
8:

Answer:

m∠EBF = 47°

Step-by-step explanation:

Just subtract 133 from 180.

The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

Answer:

The 3rd one

Step-by-step explanation:

I think

Answer:

it's the last one

'the slope of ab is different than the slope of BC

Step-by-step explanation:

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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Answer:

See below

Step-by-step explanation:

Answer:

4,024.076

Step-by-step explanation:

and = Decimal point

0 = tenths 7 = hundredths 6 = thousandths

Answer:

5 cm³

Step-by-step explanation:

The correct options to the given question will be:

The volume of a solid is referred to as the space that the figure occupies. The three dimensions are covered and recorded to measure the volume. It is measured by multiplying the length, breadth, and the height of the solid. Since three units are multiplies, therefore the unit of the volume becomes a cubic unit. Usually, the volume is measured in cubic meter or cubic centimetre.

Answer:

Hence, Stacy will spin 6,  8.33 times out of her n = 50 attempts.

Step-by-step explanation:

Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

We will estimate the number of times that she spins a 6 as the expected value of this random variable.

Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.

Then , in this case, with n=50 and p=1/6 we expect to have  number of times of having a 6, which is 8.33.

The new cοοrdinates οf the image οf the pοlygοn are: E'(0, 1), F(4, 0),     G(3, -2) & H(0, 0).

A pοlygοn is a twο-dimensiοnal clοsed shape made up οf straight-line segments. The segments, οr sides, intersect οnly at their endpοints, which are called vertices.

Tο graph pοlygοn EFGH, we first plοt the given cοοrdinates:

E(-1, 3)

F(1, 4)

G(3, 3)

H(0, 0)

Tο find the image οf the pοlygοn after a clοckwise rοtatiοn οf 90 degrees abοut vertex H, we can use the fοllοwing transfοrmatiοn matrix:

| cοs(-90)  -sin(-90)  0 |   | x - 0 |   |  y  |

| sin(-90)   cοs(-90)  0 | * | y - 0 | = | -x  |

|    0         0       1 |   |   1   |   |  1  |

Simplifying this matrix, we get:

|  0  -1  0 |

|  1   0  0 |

|  0   0  1 |

Tο apply this transfοrmatiοn tο each pοint οf the pοlygοn, we can multiply the matrix by the cοlumn vectοr (x, y, 1) fοr each pοint.

Therefοre, the new cοοrdinates οf the image οf the pοlygοn are:

E'(0, 1)

F(4, 0)

G(3, -2)

H(0, 0)

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Answer: they each get 5 if they had 5 of them

Step-by-step explanation:

Answer:

the answer is 36 gallon

Step-by-step explanation:

It should be noted that triangle ABC is an isosceles triangle.

An isosceles triangle has two sides of equal length, and the third side is longer than the other two sides. In triangle ABC, AB = DCE, which means that sides AB and DCE are equal in length. The third side, AC, is longer than AB and DCE, because ABC = 80, which is greater than 50.

The two angles opposite the equal sides are also equal. In triangle ABC, angles A and C are equal because sides AB and AC are equal.

The altitude (a line drawn from a vertex perpendicular to the opposite side) bisects the opposite side. In triangle ABC, the altitude from vertex A bisects side BC.

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Answer:

the first one

Step-by-step explanation: what school you go too

Order of the animals from fastest to slowest is Great white shark (23 mph), stingray (22 mph) and dolphin (20 mph).

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity, as it has only direction and no magnitude.

Given that, A dolphin travels 5 mi in 15 min, a stingray travels 11 mi in 30 min and a great white shark travels 92 mi in 4 hrs

Speed = Distance/time

So, speed of dolphin = 5/.25 = 20 mph

speed of stingray = 11/.5 = 22 mph

speed of great white shark is 92/4 = 23 mph

Hence, The required order is the great white shark > stingray > dolphin

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The restrictions for x and y are given as follows:

3. x ∈ W, y ∈ W.

5. x ∈ W, y ∈ W.

To obtain the restrictions, the first step is classifying the variables as either discrete or continuous, as follows:

In this problem, the variables are both resumed as follows:

Number of tickets sold in the Super Bowl.

The possible values are given as follows:

0, 1, 2, ...

Which are countable values, hence discrete, and that also cannot assume negative values, hence they belong to the whole set and not the integer set, thus the restrictions are:

x ∈ W, y ∈ W.

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\(x = \frac{7 \sqrt{3} }{2} \\ \)

.

\( \frac{7}{x} = \frac{2}{ \sqrt{3} } \\ \)

\(7 \times \sqrt{3} = 2 \times x\)

\(7 \sqrt{3} = 2x\)

\( \frac{7 \sqrt{3} }{2} = x \\ \)

\(x = \frac{7 \sqrt{3} }{2} \\ \)

.

.

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Answer:

20

Step-by-step explanation:

Answer:

Hope the picture will help

\(\frac{16}{7}\)Answer:

X = -16/7

Step-by-step explanation:

Multiply the numbers

4 x 2 + 8 = -7x

8 + 8 = -7x

Add the numbers

8 + 8 = -7x

16= -7x

Divide both sides by the same factor

16= -7x

16 divided bu -7x and -7x divided by -7x

Simplify

-16 divided by 7 not negative 7 and -7 divided by -7

Cancel terms that are in both the numerator and denominator

cancel out -7 divided by -7 and you get -16/7 left

so, therefore x= -16/7

Answer:

\(\frac{4}{5t}\)

Step-by-step explanation:

Quotient means division, and 5 times t is 5t, as we are simplifying. Since 4 comes first in the question or sentence, 4 must be the nominator; therefore, 5t is the denominator.

The answer would then be \(\frac{4}{5t}\).

Hope this helped!

Answer:

Step-by-step explanation:

I say D but not sure this time

Answer:The answer is d

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Im asuming you meant " x = 2 ".

According to PEMDAS, parenthese come first so...

10 - ( 2 + 3 )

= 10 - 5

= 5  

Answer:

its 50

Step-by-step explanation:

10 times (x+3)  x=2

2 plus 3 is 5  

10 time 5

   =50

Answer:

Step-by-step explanation:

Wanda reaches hector at 4.5h. Wanda can not reach hector before the race ends, since at the speed he is going (16m / h) he would reach when both are at mile 72 and the race is 42 miles.

Wanda needs to increase her speed to 21m / h to catch Hector at the finish line.I attach the answers.

Answer:

1)

Minimum is a 4th Degree

2)

Positive; Even

3)

\(x=-4, -1\text{ Odd Multiplicity}\\x=3\text{ Even Multiplicity}\)

Step-by-step explanation:

Part 1)

The minimum degree of our function will be 4.

Looking at the graph, we know that the graph crosses the x-axis at -4 and -1. Since it crosses through the x-axis at these two points, these two factors must have an odd multiplicity.

So, it can be anything 1, 3, 5, 7, etc.

However, we will choose the lowest one, 1.

Next, we know that the graph bounces off at 3.

So, it must have an even multiplicity. In other words, 2, 4, 6, 8, etc.

We choose the lowest one, 2.

Therefore, the minimum degree of our function will be 1+1+2 or 4.

Part 2)

The degree of our polynomial is (and will always be) even. Therefore, both ends of the graph will go in the same direction.

Recall the simplest even polynomial, the parent quadratic function. When the leading coefficient is positive, both of the ends go straight up.

This applies to all polynomials with even degrees.

Therefore, since the arms of the graph is going straight up towards positive infinity, the leading coefficient of our graph must be positive.

Part 3)

This is similar to Part 1.

We can see that the graph touches the x-axis at -4, -3, and 1. So, the zeros of the function is: \(x=-4, -1, 3\)

We know that it passes through \(x=-4 \text{ and } x=-1\) . So, these two factors must have an odd multiplicity.

However, since the graph bounces off \(x=3\), this factor must have an even multiplicity.

And we're done!

Answer: recantagle

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).