please help me w this lol i dont get it

Answer:

x = 52°

Step-by-step explanation:

I have attached an image to depict the given angles.

From the attached image, we can see that the unknown angle is x°.

Thus, since that corner is 90°, then;

x + 38 = 90

Subtract 38 from both sides to get;

x = 90 - 38

x = 52°

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that [tex]p = 0.7[/tex]

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that [tex]n = 5[/tex]

a. All five qualify for the favorable rate

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602[/tex]

[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283[/tex]

0.5283 = 52.83% probability that at least four qualify for the favorable rates

Answer:

B. It rejects the concept of social class in the American system.

Explanation:

The Enlightenment of the American Colonies was a period in time where the people were encouraged to become their own nation. This period was represented by many speeches and pieces of writing that boasted freedom of speech, equality, freedom of the press, and religious tolerance.

This specific piece of writing focuses on the aspect of all people in the nation of America having protected freedoms and rights to become their own people.

Answer:

20

Step-by-step explanation:

The equation for area of a triangle is base times height divided by two.

Answer:

A=(-5,-4)

B=(-5,-1)

C=(-2,-1)

Step-by-step explanation:

Answer:

.26 cents cheaper a roll

Step-by-step explanation:

to find this you would do 3.64/4 to get the price a roll which is .91

and then you would do 20.80/32 to get the price per roll which is .65

then to get the difference you would do .91-.65 to get .26

Answer:

P(not landing on blue section)=2/3

Step-by-step explanation:

Not landing on blue section = landing on one of the other sections

the remaining sections are 2 each one has a P=1/3

2 × 1/3 = 2/3

Answer:

66%

Step-by-step explanation:

2 divided by 3= 0.666666666 which is then converted to percent (66%)

Answer:

there are 5 halves in 2 1/2

Answer:

5

Step-by-step explanation:

1/2 +1/2 = 1

Answer:

A. 1⅛ + m = 2⅔

[tex] m = 1\frac{13}{24} [/tex]

Step-by-step explanation:

Cups of milk at breakfast = 1⅛

Cups of milk after breakfast = m

Total cups of milk by the end of the day = 2⅔

Thus:

Total cups of milk by the end of the day = cups of milk at breakfast + cups of drink after breakfast

Therefore:

1⅛ + m = 2⅔ (equation)

Solve for m

Subtract 1⅛ from each side

m = 2⅔ - 1⅛

Convert to improper fraction

m = 8/3 - 9/8

m = (64 - 27)/24 = 37/24

[tex] m = 1\frac{13}{24} [/tex]

Answer: The height is 8

Step-by-step explanation:

4.75 x 8 = 32

Answer:

30 > x

Step-by-step explanation:

-13 > x-43

-13 + 43 > x -43 + 43

30 > x

Answer:

43/120 ≈ 0.3583

Step-by-step explanation:

Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...

 21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities

The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...

43/120 ≈ 0.3583

_____

The given numbers add up as follows:

 Gym only: 42

Pool only: 18

Track only: 14

Gym and Pool only: 12

Gym and Track only: 15

Pool and Track only: 7

Gym and Pool and Track: 9

No facilities: 3

Answer:

60/500 or 3/25

Step-by-step explanation:

Answer:

0.16666666666

Step-by-step explanation:

1/2 ÷ 3

1/2/3

0.16666666666

Or

1/2 = 0.5

0.5 ÷ 3

0.16666666666

3/2 or 1.5. You have to multiply by the reciprocal.

Answer:

4, because 12/3 is 4 cause 3×4=12

Answer: 4

Step-by-step explanation: you need to divide 12 and 3 to get 4.

Answer:

Step-by-step explanation:

Answer:

If you still need help search up Mathaway it gives u the answer to all your problems and it gives a step by step explination

Step-by-step explanation:

Subtract

3

x

2

from both sides of the equation.

7

x

−

3

x

2

=

−

1

Add

1

to both sides of the equation.

7

x

−

3

x

2

+

1

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values

a

=

−

3

,

b

=

7

, and

c

=

1

into the quadratic formula and solve for

x

.

−

7

±

√

7

2

−

4

⋅

(

−

3

⋅

1

)

2

⋅

−

3

Simplify.

Tap for more steps...

x

=

7

±

√

61

6

The final answer is the combination of both solutions.

x

=

7

+

√

61

6

,

7

−

√

61

6

The result can be shown in multiple forms.

Exact Form:

x

=

7

+

√

61

6

,

7

−

√

61

6

Decimal Form:

x

=

2.46837494

…

,

−

0.13504161

…

Answer:

d) A[n] = A[n=1] - 2 (Your selected answer is correct)

Step-by-step explanation:

Think of the formula as:

new number = previous number minus 2

Answer:

Step-by-step explanation:

Formula:

Solve for t:

Answer:

it is B

Step-by-step explanation:

he is putting in by the 3/5

Answer:

C.

Step-by-step explanation:

Why its C...

You can tell that on the top it say that the total is 15 so it can not be a. So now our answer choices are B, C, ad D.

Now it says that there are 3/5 highlighted but since the rest say 3/5 we can not eliminate yet.

Next we would multiply 3 x 3 to get 9 for how many dollars there are. Cross out B.

Between C and D, C is the most reasonable answer because it says how much did he put in the bank while the other one (D) says how much did he spend?

So it would be C

Hope this helps :)

Answer:

B) x=-3

Step-by-step explanation:

-3(4x-2)=42

4x-2=42/-3

4x-2=-14

4x=-14+2

4x=-12

x=-12/4

x=-3

Answer:

x= -7, x=8

Step-by-step explanation:

factoring method..

f (x) = - x² + 12x - 20

= - x² + 10x + 2x - 20

= - x( x - 10 ) + 2( x - 10 )

= ( x - 10 ) ( -x + 2 )

=> x = 10, x = 2

Answer:

AC = 6.7

Step-by-step explanation:

If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.

9^2 = 6^2 + b^2

81 = 36 + b^2

81-36 = b^2

45 = b^2

6.7 = b

so AC = 6.7

Answer:

a) S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}

b) p(x) = 0.3 if x = 0

          = 0.6 if x = 1

          = 0.1 if x = 2

          = 0 otherwise

Step-by-step explanation:

Given - Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair  (1, 2) represents the selection of boards 1 and 2 for inspection.

To find - (a) List the ten different possible outcomes.

              (b) Suppose that boards 1 and 2 are the only detective boards in a lot of five. Two boards are to be chosen at random. Define X to be the # of defective boards observed among those inspected. Find the pmf.

Proof -

(a)

Given that there are 5 computer boards

Let,

The Boards are 1, 2, 3, ,4 and 5.

Now,

Total Number of possible ways of selecting 2 boards out of 5 by inspection = ⁵C₂ = [tex]\frac{51}{2! (5-2)!}[/tex] = [tex]\frac{5!}{2! 3!}[/tex] = [tex]\frac{5.4.3!}{2! 3!}[/tex] = [tex]\frac{5.4}{2.1}[/tex] = 10  

And the choices be

Choice I -

Boards 1 and Board 2

Choice II -

Board 1 and Board 3

Choice III -

Board 1 and Board 4

Choice IV -

Board 1 and Board 5

Choice V -

Board 2 and Board 3

Choice VI -

Board 2 and Board 4

Choice VII -

Board 2 and Board 5

Choice VIII -

Board 3 and Board 4

Choice IX -

Board 3 and Board 5

Choice X -

Board 4 and Board 5

And

These outcomes becomes

S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}

(b)

Given that,  X be the number of defective boards

And there are only two defective boards (Board 1 and Board 2) in the lot

Therefore,

X can be 0, 1, and 2.

Now,

If X = 0

⇒ There is no defective boards

⇒ Possible outcomes be - { (3,4), (3,5), (4,5) }

So,

P(X=0) = [tex]\frac{3}{10}[/tex] = 0.3

Now,

If X = 1

⇒ There is one defective board

⇒ Possible outcomes be - { (1,3), (1,4), (1,5), (2,3), (2,4), (2,5) }

So,

P(X=1) = [tex]\frac{6}{10}[/tex] = 0.6

Now,

If X = 2

⇒ There is two defective boards

⇒ Possible outcomes be - { (1,2) }

So,

P(X=2) = [tex]\frac{1}{10}[/tex] = 0.1

And

P(x) = 0 if x ≠ 0, 1, 2

SO, The pmf be

p(x) = 0.3 if x = 0

      = 0.6 if x = 1

      = 0.1 if x = 2

      = 0 otherwise

Answer:

B. Parallelogram

Step-by-step explanation:

The opposite sides of the quadrilateral are equal and so the quadrilateral is a rectangle, the correct option is A.

A quadrilateral is a polygon with four sides.

The coordinates of a quadrilateral are:

A(7,0), B(3, 1), C(4,7), and D(8, 6)

The distance between the coordinates has to be determined to identify the type of quadrilateral

The distance formula is

[tex]\rm D = \sqrt { ( x- x_1)^2 + (y-y_1)^2}[/tex]

[tex]\rm AB = \sqrt { (3-7)^2 + (1-0)^2}\\AB = \sqrt { 17}[/tex]

[tex]\rm BC = \sqrt { ( 1)^2 + (6)^2}\\BC = \sqrt {37}[/tex]

Similarly,

[tex]\rm CD= \sqrt { 17}\\\\AD = \sqrt{37}[/tex]

The opposite sides of the quadrilateral are equal and so it is a rectangle.

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The ordered pair would not be on the graph is (5, 1200)

The correct option is (4).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

If Jeff drives 200 miles per hour in his race car.

So, if we denote the distance by y and time by x then relation is

y = 200x

For x = 0

y=0

and, x= 2

y= 400

and, x= 8

y= 1600

and, x= 5

y = 1000

Hence, the point not on the graph is (5, 1200)

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A=2(1+[tex]\sqrt{2}[/tex])a^2=2·(1+[tex]\sqrt{2}[/tex])·20^2≈1931.37085cm²

Answer:

the answer is 1771! good luck!

Step-by-step explanation:

i attached an image with the steps!

Answer:

Mathematical symbols used for different calculations?