PLEASE HALP!!!!

Carlos wants to get an average of 86% in his science class. The science
teacher has given 5 tests. Carlos's scores on 4 of the tests have been 85%,
89%, 90%, and 82%. What score does Carlos need to get on the 5th test to
get a mean score of 86%?
O A) 81
OB) 84
OC) 86
OD) 92​

Answer:

[tex]P(A) = \dfrac{1}{4}\\P(B) = \dfrac{1}{13}\\P(A \cap B) = \dfrac{1}{52}\\P(A/B) = \dfrac{1}{4}\\P(A/B) = P(A)\\[/tex]

A and B are not independent events.

Step-by-step explanation:

Total number of possibilities is 52 (Total number of cards in the deck).

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

For event A, number of cases possible for a card to be diamond = 13

[tex]P(A) = \dfrac{13}{52} \\\Rightarrow P(A) = \dfrac{1}{4}[/tex]

For event B, number of cases possible for a card to be a king = 4

[tex]P(B) = \dfrac{4}{52} \\\Rightarrow P(B) = \dfrac{1}{13}[/tex]

For the event, [tex]A \cap B[/tex], the card is a king and diamond, only one case is possible.

Because there is only one card for king of diamond.

[tex]P(A \cap B) = \dfrac{1}{52}[/tex]

Formula for P(A/B):

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

[tex]\Rightarrow \dfrac{\dfrac{1}{52}}{\dfrac{1}{13}}\\\Rightarrow \dfrac{1}{4}[/tex]

Yes, P(A) is same as P(A/B).

Here, A and B are not independent events because they have a common case i.e. a king is there which is of diamond in the deck.

Answer:

1/4

1/13

1/52

Yes, events a and b are independent events

Answer:

36h6

Step-by-step explanation:

Answer:

48h^5

Step-by-step explanation:

Answer:

c = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = 25

c^2 = 25

sqrt of 25 = 5

c= 5

Answer:

c=5

Step-by-step explanation:

Theoretically, on a number cube, each side has an equal chance. There are 6 sides, and 2 is one of the sides, so then you subtract 1/6, which would leave you with 5/6.

D. 5/6

Answer:

36

Step-by-step explanation:

reverse the number

Answer:

on a graph paper draw the coordinate plane and locate -1 and draw a horizontal line

Step-by-step explanation:

Answer:

The ratio of shadow should be kept, then we have: x/25 = 3/5

=> x = 25 x 3/5 = 15

=> The flagpole is tall 15 feet

Hope this helps!

:)

Answer:

15 feet

Step-by-step explanation:

Length : shadow

3 : 5

X : 25

X/25 = 3/5

X = 25 × 3/5

X = 15

Answer:

see below

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

this took like forever but there u go

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

All of the above

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Since, they all have a degree of 1 they are all polynomials.

Answer:

B because 5/6 is roughly .83, which is bigger than .8

Step-by-step explanation:

Answer:

6x -8

Step-by-step explanation:

2 (3x - 4)

Distribute

2*3x - 2*4

6x -8

Answer: the answer is 4

Step-by-step explanation:

3(2−x)=−6

Step 1: Simplify both sides of the equation.

3(2−x)=−6

(3)(2)+(3)(−x)=−6(Distribute)

6+−3x=−6

−3x+6=−6

Step 2: Subtract 6 from both sides.

−3x+6−6=−6−6

−3x=−12

Step 3: Divide both sides by -3.

−3x

−3

=

−12

−3

x=4

Answer:

x=4

Answer:

I know I'm 10 days late on this, but the answer is 1.5

Step-by-step explanation:

1. Add 3+7+4+2:

[tex]3+7+4+2=16[/tex]

2. Divide it by 4 because we have 4 numbers being added:

[tex]\frac{16}{4} =4[/tex]

3. Subtract 4 from all numbers:

[tex]4-3=1, 7-4=3, 4-4=0,4-2=2[/tex]

4. Add the differences:

[tex]1+3+0+2=6[/tex]

5. Divide again by 4:

[tex]\frac{6}{4} =1.5[/tex]

Answer:

C, 9.4

Step-by-step explanation:

This is a linear function with a slope of 1 and a y-intercept at one.

Answer:

Linear function

because this kind of graph use line using the slope and y-intercept or two points

slope 1

y-intercept 1

x | y

0 | 1

1  | 2

Answer:

Step-by-step explanation:

length = 1800 / 6/10 = 30 ft long = 10 yard

Answer:

first B,second A, third C on edg

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation:

Answer:

D) 2

Step-by-step explanation:

Absolute values are never negative, so B is wrong. Absolute value is the distance from zero, in this case, 2.

Answer:

see below

Step-by-step explanation:

3( 4x - 3) + 8 = 2x + 10x -1

Distribute

12x - 9 +8 = 2x+10x -1

Combine like terms

12x - 1 = 12x - 1

Subtract 12x from each side

12x - 1 -12x = 12x - 1-12x

-1 = -1

This is true for all values of x

x = all real numbers

Answer:

All real numbers are solutions.

Step-by-step explanation:

3 ( 4x - 3 ) +8 = 2x + 10x - 1       Example 1:

12x - 9 + 8 = 12x  - 1                    3 ((4*1) -3) + 8 = (2*1) + (10*1) - 1

        - 12x = -12x                           3 ((4) - 3) + 8 = (2) + (10) - 1

      -9 + 8 = -1                                 ( 12 - 9 ) + 8 = 12 - 1

             -1 = -1                                            3 + 8 = 12 - 1

Example 2                                                       11 = 11

3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1

3 ((24) - 3) + 8 = (12) + (60) - 1

       72 - 9 + 8 = 72 - 1

              72 - 1 = 72 - 1

                    71 = 71

Answer:

-3<3

Step-by-step explanation:

youre welcome

Answer:

45

Step-by-step explanation:

Answer: -4.5x + 30

Step-by-step explanation:

Simplify.

-x- (-15) - 3.5x +15

Remove parentheses.

-x + 15 -3.5x + 15

Collect like terms.

(−x−3.5x)+(15+15)

Simplify.

-4.5x + 30

Step-by-step explanation:

Step 1:   Set up the formula for the surface area of a regular pyramid.

SA = [tex]\frac{p*h}{2} + B[/tex]

where :

Step 2:  Plug the perimeter of the base into the formula

you can calculate the perimeter by multiplying the length of one edge by the number of edges.

Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)

Step 4: find the area of the base (depend on the shape of the base)

Hope it will find you well.

Answer:

$68.44 will be the total bill.

Step-by-step explanation:

18/100 = .18

58 x .18 = 10.44

58 + 10.44 = 68.44

:)

Answer:

It would be 68.44

Step-by-step explanation:

What you do is you multiply 58 by .18. it should come out to 10.44. Once you do that, you add the $58 dollar check with the 10.44 tip and the answer is 68.44!!

Answer:

$1,875

Step-by-step explanation:

$15.00 per hour (multiply by hours)

per technician (multiply by technicians)

so: 15x25=375 then 375x5=1,875

Answer:

$1875

Step-by-step explanation:

First, let's find how many hours the technicians worked

She has 5 technicians, and the each worked 25 hours

We can multiply 5 and 25 to find the total number of hours

5*25=125

Now we know that the technicians worked 125 hours altogether. Now, we need to find how much money that is.

They worked 125 hours, and they are paid $15 per hour

We can multiply 125 and 15 to find the cost

125*15=1875

So, Dr. Barber will pay the technicians $1875 in total

Answer:

1/6, because there is only one way it's possible and there are 6 outcomes.

Step-by-step explanation:

Answer: this is the right answer y = 90x + 120

Step-by-step explanation:

Answer:

x^2 - 24x + 144

Step-by-step explanation:

24/2(1)= 24/2= 12

(12)^2= 144

Answer:

b

Step-by-step explanation:

Answer:

[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]

Step-by-step explanation:

(1) [tex]14n^2, 35n^4[/tex]

[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]

(2)[tex]21n^3, 18n^2[/tex]

[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]

(3) [tex]7n^2, 9[/tex]

The two terms are co-prime. Therefore their GCF is 1.