21q-7p and (3q-p)(7) determine whether each pair of expressions is equivalent. show your work

Using the binomial probability relation, the probability that exactly 27 graduates earn a college degree is 0.069

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of exactly 27 graduates can be defined thus :

P(x = 27) = 200C27 × 0.15^27 × 0.85^173

P(x = 27) = 0.0686264

Therefore, the probability of selecting exactly 27 graduates is 0.069

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Answer:

Step-by-step explanation:

#1

Intersection of the two given sets is the empty set as the sets cover two different intervals without common elements.

Correct choice is A

#2

Assume there is a union sign between sets.

The union of the two sets is both of them.

Correct choice is B

#3

Both the points are excluded, so both ends are open circles and the graph covers the interval between them.

Correct choice is A

Your answers would be:

1.)   A

2.)  B

3.)  A

Answer:

The difference is one number is larger than the other.

Step-by-step explanation:

we are doing BOMDAS

so (5+3)*3

we start with the bracket first since we are dealing with BOMDAS

(5+3)*3 = 8*3

then we multiply the 8*3 which equals to 24

(5+3)*9

we start with the bracket first (5+3) equals to 8 and then we multiply the 8 by the 9 and the answer is 72

(5+3)*9

(5+3)= 8*9

= 72

between 24 and 72 the difference is 72 is larger

Answer:

Step-by-step explanation:

Every possible value of y will have an x value of x = - 2 associated with it. For example (-2, 58) is also on this vertical line. A line with more than 1 y value associated with x means the line you get is not a function.

The equation you want is x = - 2

Answer:

Step-by-step explanation:

or

[tex]\\ \sf\longmapsto 3-(2x-5)<-4(x+2)[/tex]

[tex]\\ \sf\longmapsto 3-2x+5<-4x-8[/tex]

[tex]\\ \sf\longmapsto -2x+8<-4x-8[/tex]

[tex]\\ \sf\longmapsto 2x-8<4x+8[/tex]

[tex]\\ \sf\longmapsto 2x-4x<8+8[/tex]

[tex]\\ \sf\longmapsto -2x<16[/tex]

[tex]\\ \sf\longmapsto 2x<16[/tex]

[tex]\\ \sf\longmapsto x<-8[/tex]

Answer:

C

Step-by-step explanation:

i just added

The simplified forms of the expressions are;

a.5x²

b.6x³y

c.6x⁴y

Index forms are described as mathematical forms that makes numbers or values in too small or too large forms appear in a more convenient manner.

Other names for index forms are standard forms and scientific notation.

These index forms are formed by taking the exponents of numbers or variables inside of their usually repetitive forms in an expression.

From the information given, we have that;

a. 5 x x

Since the variable appeared twice, it is represented as;

5x²

b. 6 xxxy

One variable appeared three times

6x³y

C.  2 x x x 3 xy​

Multiply the numbers as well as the variables

6x⁴y

Hence, the expressions are simplified to index forms

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Answer:

what is the question ❓ i don't understand

Answer:

yes, no because it's not a decimal with only one digit in front of the decimal mark, no because the decimal point is too far forward.

A:

i:

5.1 x 10^6

9.75 x 10^10

1.2 x 10^-7

5.008 x 10^-6

ii:

a. 3200000000000

b. 50700

c. 0.00056

d. 0.083

B:

3,2,4,1

1,2,3,4 -ik but it's what i got

1,3,4,2

C:

uranus, neptune, saturn, jupiter

answer choice B

D:

8 x 10^-5

9 x 10^6

3 x 10^-5

7 x 10^-5

5.5 x 10^5

3.2 x 10^5

8.2 x 10^5

7.3 x 10^-3

0.0000832

3120000

0.009

0.0085

8000000

0.05

0.067

57.5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}x - 21[/tex]

Step-by-step explanation

Three-fifths of a number means [tex]\frac{3}{5}x[/tex] and 21 less than that number means [tex]\frac{3}{5} x - 21[/tex].

If Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. The fraction of the original money Ade left will be 4/5

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book.

The fraction of the original money Ade left is,

=1-(1/4+1/5)

=1-(1/5)

=4/5

Thus, if Adedayo spent 1/5 of his money to buy a Mathematics book and 1/4 of the remainder to buy an English book. The fraction of the original money Ade left will be 4/5

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Answer:

- Vertical Stretch

-Left 7 Units

-Up 2 units

Step-by-step explanation:

Because the formula is being multiplied by a number larger than 1, it is being vertically stretched. In this problem, it is being vertically stretched by a factor of 3/2.

When X is being added to in the parenthesis, it causes the graph to shift to the left. Since the equation has (X+7), the graph shifts left by 7 units.

When a number is added to the equation, it causes the graph to shift upwards. In this example, 2 is being added, therefore, the graph shifts upwards by 2 units.

That means there is a vertical stretch by a factor of 3/2, a horizontal translation left 7 units, and a vertical translation up 2 units

Answer:

Samuel runs 5 meters per second

Step-by-step explanation:

Answer:

1 dollar

Step-by-step explanation:

If she started with 1 and add 43 she now has 44.  Once you add the 22 you get 66 which is what she has now.  

Answer: (x^2)/16 + (y^2)/25 = 1

Step-by-step explanation:

According to the problem we can figure out that the center of the ellipse is (0,0).

Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.

If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2

We get b^2 is 16

Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.

Answer:

English: 45/50 = 0.9 = 90%

Music: 45%

Art: 25/40 = 0.625 = about 63% (if you round up)

Math: 85%

As you can see: English - highest | Music - lowest

Alice got her highest score in Maths, and her lowest score in Music.

To find out which subject Alice got her highest and lowest scores in, let's compare the scores in each subject.

English: 45 out of 50 = 45/50 = 0.9 (90%)

Music: 45 % = 45/100 = 0.45

Art: 25 out of 40 = 25/40 = 0.625 (62.5%)

Maths: 85 % = 85/100 = 0.85

Now, we can see that the highest score is in Maths (85%) and the lowest score is in Music (45%).

So, Alice got her highest score in Maths, and her lowest score in Music.

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Answer:

10x^3+16

Step-by-step explanation:

f(g(x)) means that for that for "x" number of tickets, he is making that amount.

Hope this helps

Answer:

16 units

Step-by-step explanation:

We know a square is 4 sides, and perimeter is the sum of all sides.

4 + 4 + 4 + 4 = 16 units

we can do this in a more efficient way with:

4 x 4 =16 units

Answer:

12p = 35.50d

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

C.)42.3

Step-by-step explanation:

If it's difficult to do subtraction with negatives, switch them to positive and subtract 14.5 from 56.8. In order to get a lesser negative number(negatives closer to -1 are greater), you have to add a positive number. My math teacher taught me this simple but effective method. This method is used for multiplication and division but it helps:

(Hate=Negative and Love=Positive)

If you hate to hate, you love.(neg. x neg=pos.)

If you hate to love, you hate(neg. x pos.=neg.)

If you love to love, you love(pos. x pos.=pos.)

If you love to hate, you hate(pos. x neg.=neg.)

c) 42.3 feet

Step-by-step explanation:

Is known :

Asked :

Aswered :

A submarine's elevation is -14.5 feet relative to sea level - A shark isswimming at an elevation -56.8 feet

= (-14,5) - (-56,8)

= 42,3

9514 1404 393

Answer:

  43.70 ft

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides. The correct computation is ...

  Hypotenuse is √(7² +7²) = √(49 +49) = √98 = 7√2

  Perimeter of pentagon is ...

     7 +7√2 +7√2 +7√2 +7 =

     7 +21√2 +7 =

     14 +21√2 ≈ 14 +29.70 =

     Perimeter is approximately 43.70 ft.

__

There are two errors:

Both errors are easy to find if you know what the computation is supposed to look like.

The Pythagorean theorem involves a sum of squares.

Answer:

Need a bit more context

Step-by-step explanation:

9514 1404 393

Answer:

  k = -7

Step-by-step explanation:

Attached are both synthetic division and remainder theorem solutions. Either way, you find the remainder is k+11, which you want to have a value of 4.

  k +11 = 4

  k = -7 . . . . . subtract 11 from both sides

_____

The second attachment shows the long division that validates this result.

Answer:

center (6;5); R=7

Step-by-step explanation:

Step-by-step explanation: Subtract    

12  from both sides of the equation. x 2 − 12 x + y 2 + 10 y = − 12 , Complete the square for  x 2 − 12 x .

Answer:-6 and -4

Step-by-step explanation:

Answer:

143 degrees

Step-by-step explanation:

The shape is a hexagon therefore the total angle will be 720 degrees.

The sum of the total angle of the shape is 434 degrees

So to get the answer the equation is:

434 + x + x = 720 degrees

So x =  143 degrees.

Answer:

=344

Step-by-step explanation:

(43)(8)

=344

Answer:

26

Step-by-step explanation:

206÷ 8= 25.75 (remainder was 6)

that means 25 classes will be needed but since the are 6 students remaining 1 more class can be added makes 26 classes