In the basketball game, you made 12 baskets and scored 19 points. How many 2-point shots did you make? How many free throws did you make?​

Yo sup??

P(A)=0.5

P(C|A)=0.4

Therefore

P(A and C)=0.5*0.4

=0.2

Hope this helps.

The required probability is P(A and C) is 0.2 which is represented in the tree diagram.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The given tree diagram represents an experiment consisting of two trials.

The tree diagram represents an experiment consisting of two trials. In this case, the probability of event A and event C occurring is represented by the intersection of branches A and C in the tree diagram.

This probability can be calculated by multiplying the probability of each individual event together.

As per the given question, we have

P(A) = 0.5

P(C|A) = 0.4

So, P(A and C) = 0.5 × 0.4 = 0.2

Thus, the required probability is P(A and C) is 0.2

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

100%

Step-by-step explanation:

You cant get a number on a 6 sided die higher than 7.

Answer: Its width is 6inches.

Step-by-step explanation:

The given information can be used to construct a right angled triangle. Now applying the Pythagoras theorem,

10^2 = W^2 + 8^2

where w represents the width.

100 = w^2 + 64

100 - 64 = w^2

36 = w^2

find the square root of both sides,

6 = w

Therefore, w = 6 inches

Thus the width of the rectangle is 6 inches.

Answer:

The average rate of change is = - 4

Step-by-step explanation:

If y = f(x) is a function then the average rate of change for f(x) between the interval a ≤ x ≤ b is given by

[tex]\frac{f(b) - f(a)}{b - a}[/tex].

Now, in this case the function is given by f(x) = - 4x + 40 and the interval is 1 ≤ x ≤ 3.

Therefore, f(1) = - 4(1) + 40 = 36 and f(3) = - 4(3) + 40 = 28

So, the average rate of change is = [tex]\frac{28 - 36}{3 - 1} = - \frac{8}{2} = - 4[/tex] (Answer)

Answer:

−30

Step-by-step explanation:

−30 is the average rate of change for ƒ(x) = −4x + 40 over the interval 1 ≤ x ≤ 3.

ƒ(b) − ƒ(a)

b − a

=  ƒ(3) − ƒ(1)

3 − 1

=  −24 − 36

2

=  −60

2

= −30

In the image, the length of the segment will be 120 units.

Step-by-step explanation:

Whatever may be transformation, either rotation, reflection or translation, the length the line segment will not change.

Here one segment with 120 units and other segment with 240 units is rotated 90 degrees about the origin and then it is translated 50 units up, we will get the image of the segment with the same size.

In the image, the length of the segment will be 120 units.

Answer:

Step-by-step explanation:

Answer:

4:3, 32:24, 8:6

Step-by-step explanation:

for 4:3, you divide both sides of 16:12 by 4

for 32:24 you mutiple both sides by 2

for 8:6 you multiply both sides by 2

Hope this helps :)

Answer:

|z| = |a + ib| = [tex]\sqrt{a^{2} + b^{2}}[/tex].

Step-by-step explanation:

By the definition of complex numbers the modulus of any complex number z = x + iy is given by |z| = |x + iy| = [tex]\sqrt{x^{2} + y^{2}}[/tex].

Say for example, z = 3 + 4i is a complex number then

|z| = |3 - 4i| = [tex]\sqrt{3^{2} + 4^{2}} = 5[/tex]

In a complex plane modulus of a complex number z = x + iy means the distance of the point (x, iy) from the origin. (Answer)

Answer:

B) Unlikely

Step-by-step explanation:

Your chance drawing a quarter is a low 20%

Answer:

B:Unlikely

Step-by-step explanation:

Because you have 7 dimes and 5 nickels so those ones would be more likely to be picked than the quarter but it is still possible.

Answer:

x=4

Step-by-step explanation:

3(9-8x-4x)+8(3x+4)=11

Subtract  4 x  from  − 8 x

3 ( 9 − 12 x ) + 8 ( 3 x + 4 ) = 11

Distribute

27 − 36 x + 24 x + 32 = 11

Simplify

− 12 x + 59 = 11

Subtract 59 to both sides

− 12 x = − 48

Divide by -12

x=4

Answer:

12.3 hours

Step-by-step explanation:

So other person can get brainliest

Step-by-step explanation:

Given,

y = [tex]x^2[/tex] - 10x + 25

To find, the total number of solutions = ?

∴ y = [tex]x^2[/tex] - 10x + 25

⇒ y = [tex]x^2[/tex] - 2(x)(5) + [tex]5^2[/tex]

⇒ y = [tex](x-5)^{2}[/tex]

There are infinite solution of y.

Thus, there are infinite solution of y.

Answer:

The number 1.256 is  A)rational number.

Step-by-step explanation:

                     [tex]\frac{1256}{1000} =1.256[/tex]

The number 1.256... is a rational number because it can be expressed as a ratio of two integers. It is not an integer, whole number, or irrational number.

The number 1.256 repeated is a rational number because it can be expressed as the ratio of two integers, which fits the definition of a rational number as ratios of integers such as 2/1, 3/4, and so on.

Even though the decimal representation may appear to continue forever, if the pattern of digits repeats indefinitely, it is still rational.

This number is not an integer, whole number, or irrational number, so it does not belong to those sets. An integer is a whole number without any fractional or decimal part, positive or negative, including zero.

Therefore, the correct option that defines the sets to which the number 1.256... belongs is Option A: Rational number.

Answer:288

Step-by-step explanation:32 x 9 = 288

Answer:

The correct answer is B

Step-by-step explanation:

If we plug in x=10 to the equation, we get y=47

Since y is positive, A is not an counterexample

Since y is a function of x, C is not an counterexample

Since the graph of y is a parabola, D is not an counterexample

Hope this helped and mark as brainliest!

Answer:

Q = sqrt((P^2)/(4 R^10) - (P T)/(R^7)) + (P/R - 2 R^2 T)/(2 R^4) or Q = (P/R - 2 R^2 T)/(2 R^4) - sqrt((P^2)/(4 R^10) - (P T)/(R^7))

Step-by-step explanation:

Solve for Q:

T = sqrt((P Q)/R) - Q R^2

T = sqrt((P Q)/R) - Q R^2 is equivalent to sqrt((P Q)/R) - Q R^2 = T:

sqrt((P Q)/R) - Q R^2 = T

Add Q R^2 to both sides:

sqrt((P Q)/R) = Q R^2 + T

Raise both sides to the power of two:

(P Q)/R = (Q R^2 + T)^2

Expand out terms of the right hand side:

(P Q)/R = Q^2 R^4 + 2 Q R^2 T + T^2

Subtract Q^2 R^4 + 2 Q R^2 T + T^2 from both sides:

(P Q)/R - Q^2 R^4 - 2 Q R^2 T - T^2 = 0

Collect in terms of Q:

-Q^2 R^4 - T^2 + Q (P/R - 2 R^2 T) = 0

Divide both sides by -R^4:

Q^2 + T^2/R^4 - (Q (P/R - 2 R^2 T))/R^4 = 0

Subtract T^2/R^4 from both sides:

Q^2 - (Q (P/R - 2 R^2 T))/R^4 = -T^2/R^4

Add (P/R - 2 R^2 T)^2/(4 R^8) to both sides:

Q^2 - (Q (P/R - 2 R^2 T))/R^4 + (P/R - 2 R^2 T)^2/(4 R^8) = (P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4

Write the left hand side as a square:

(Q - (P/R - 2 R^2 T)/(2 R^4))^2 = (P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4

Take the square root of both sides:

Q - (P/R - 2 R^2 T)/(2 R^4) = sqrt((P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4) or Q - (P/R - 2 R^2 T)/(2 R^4) = -sqrt((P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4)

Add (P/R - 2 R^2 T)/(2 R^4) to both sides:

Q = (P/R - 2 R^2 T)/(2 R^4) + sqrt(((P/R - 2 R^2 T)^2)/(4 R^8) - (T^2)/(R^4)) or Q - (P/R - 2 R^2 T)/(2 R^4) = -sqrt((P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4)

(P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4 = P^2/(4 R^10) - (P T)/R^7:

Q = (P/R - 2 R^2 T)/(2 R^4) + sqrt((P^2)/(4 R^10) - (P T)/(R^7)) or Q - (P/R - 2 R^2 T)/(2 R^4) = -sqrt((P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4)

Add (P/R - 2 R^2 T)/(2 R^4) to both sides:

Q = sqrt((P^2)/(4 R^10) - (P T)/(R^7)) + (P/R - 2 R^2 T)/(2 R^4) or Q = (P/R - 2 R^2 T)/(2 R^4) - sqrt(((P/R - 2 R^2 T)^2)/(4 R^8) - (T^2)/(R^4))

(P/R - 2 R^2 T)^2/(4 R^8) - T^2/R^4 = P^2/(4 R^10) - (P T)/R^7:

Answer: Q = sqrt((P^2)/(4 R^10) - (P T)/(R^7)) + (P/R - 2 R^2 T)/(2 R^4) or Q = (P/R - 2 R^2 T)/(2 R^4) - sqrt((P^2)/(4 R^10) - (P T)/(R^7))

Answer:

3.48

Step-by-step explanation:

12%=0.12

0.12*29=3.48

Answer:-18x-24

Step-by-step explanation:Use the PEMDAS method

explanation:-18x-24

Answer:

  use the Pythagorean theorem

Step-by-step explanation:

The slant height is the hypotenuse of a right triangle whose legs are the height of the pyramid and the distance from the edge of the base to the center of the pyramid (where the height segment reaches the base).

For h = pyramid height, b = base edge length, s = slant height, the Pythagorean theorem tells you ...

  h² + (b/2)² = s²

Solving for h gives ...

  h = √(s² -(b/2)²) . . . . . the height of the pyramid

The  algebraic expression can be used to find the nth term of the sequence  is:

[tex]a_n = 5+3n[/tex]

Where, [tex]n\geq 1[/tex] and n is a positive whole number

Solution:

Given sequence is:

8, 11, 14, 17, 20, 23

Let us find the common difference between terms

11 - 8 = 3

14 - 11 = 3

17 - 14 = 3

20 - 17 = 3

23 - 20 = 3

Thus the common difference between successive term and previous term is constant

Thus this is a arithmetic sequence

The formula for nth term term of arithmetic sequence is given as:

[tex]a_n = a_1+(n-1)d[/tex]

Where,

[tex]a_n[/tex] is the nth term of sequence

[tex]a_1[/tex] is the first term of sequence

d is the common difference between terms

Here in this sequence, 8, 11, 14, 17, 20, 23

[tex]a_1 = 8\\\\d = 3[/tex]

Therefore,

[tex]a_n = 8+(n-1)3\\\\a_n = 8+3n -3\\\\a_n = 5+3n[/tex]

Where, [tex]n\geq 1[/tex] and n is a positive whole number

Thus algebraic expression can be used to find the nth term of the sequence is found

Angle A and Angle B are identical, so AC and BC are also identical.

ABC = AC

3x -7 =20

Add 7 to both sides:

3x = 27

Divide both sides by 3:

x = 9

Answer:

if C = 56pi, you do plug in the given by using the formula C = 2pi(r)

56pi = 2pi(r)

56/2 = r

r= 28

the radius is 28

To calculate the percentage of Zachary's pay that his deductions comprise, divide the total amount of deductions by the total pay, then multiply by 100.

To find out what percent of Zachary's pay his deductions compromise, you need to divide the total amount of deductions by the total amount of his pay, and then multiply by 100 to get the percentage.

Let's use an example. If Zachary's total deductions are $300 and his total pay is $1000, you would do the following calculation:

In this example, Zachary's deductions comprise 30% of his total pay.

https://brainly.com/question/34428429

#SPJ3

Answer:

The polynomial will be P(x) = - 5 (x + 2)²(x - 3)

Step-by-step explanation:

The degree of the polynomial P(x) is 3 and it has zeros at x = - 2 with multiplicity 2 and at x = 3 with multiplicity 1.

Therefore, (x + 2)² and (x - 3) are the factors of the equation.

Let the polynomial is

P(x) = a(x + 2)²(x - 3) ........... (1)

Now, the polynomial passes through the point (2,80).

So, from equation (1) we gat,

80 = a(4)²(-1)

⇒ a = - 5

Therefore, the polynomial will be P(x) = - 5 (x + 2)²(x - 3) (Answer)

The required polynomial is [tex]P(x) = - 5 (x + 2)^{2} (x - 3)[/tex]

Any polynomial have number of roots equal to its degree of polynomial.

Since, the degree of the polynomial P(x) is 3. it means that it has 3 roots.

it has zeros at x = - 2 with multiplicity 2, it means that factor (x - 2) have power 2 and at x = 3 with multiplicity 1 means that factor (x - 3) have power of 1 .

Thus, [tex](x + 2)^{2}[/tex] and (x - 3) are the factors of the equation.

Let us consider the polynomial is [tex]P(x) = k(x + 2)^{2} (x - 3) .[/tex]

Since,  the polynomial passes through the point (2,80).

So, substituting point (2, 80)  in above polynomial equation.

   We get,   [tex]80 = a(4)^{2} (-1)[/tex]

                      a = - 5

Therefore, the polynomial is [tex]P(x) = -5(x + 2)^{2} (x - 3) .[/tex]

Learn more:

https://brainly.com/question/13769924

Answer:

(t - 4)(t + 2) = 0  

Step-by-step explanation:

The general formula for a quadratic expression is

y = ax² + bx + c

Your expression is

y = t² - 2t - 8 = 0

By comparison, we see that

a = 1; b = -2; c = -8

1. Find two numbers that multiply to give ac and add to give b.

In this case, find two numbers that multiply to give -8 and add to give -2.

It helps to list the factors of  -8.

They are ±1, ±2, ±4, and ±8

After a little trial and error, you should find the numbers -4 and +2.

-4 × 2 = -8, and -4 + 2 = -2)

2. Rewrite the middle term with those numbers

t² -4t + 2t - 8 = 0

3. Factor the first and last pairs of terms separately

t(t - 4) +2(t - 4) = 0

4. Separate the common factor

The common factor is t - 4.

(t - 4)(t + 2) = 0

Answer:

The least possible number of coins that Pirate Jack has is 77.

Step-by-step explanation:

i) let the number of coins in the piles for the parrots be x.

ii) therefore we can say that the total number of coins be 7x + 4

iii) let the number of coins in the piles for for the pirates be y.

iv) therefore we can say that the total number of coins be 11y + 4

v) therefore we can say that 7x + 4 = 11y + 4

vi) therefore 7x = 11y

vii) therefore the least possible number of coins that Pirate Jack has is equal to the LCM of 11 and 7 which is 77.

viii) x = 11 and  y = 7

Answer:

158 coins

Step-by-step explanation:

Jack's number has to be an even number, because he can split his gold and silver coins evenly.

77 is the LCM of 11 and 7 and add 4 (the remainder) to get 81.

But it has to be an even number since he can split his coins evenly.

You can then do 77 times 2, and add 4 to get 158, which is the answer.

Answer:

lower case p

Step-by-step explanation:

The law of sines: [tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]

Therefor look for which sides and angles are accounted for. If we are given angle P, Angle R, and Side r, then Side p is the last term that fits into the law of sines equation.

19 small mowers and 11 large mowers are sold

Solution:

Let "a" be the number of small mowers sold

Let "b" be the number of large mowers sold

Cost of each small mower = $ 249.99

Cost of each large mower = $ 329.99

30 total mowers were sold

Therefore,

a + b = 30

a = 30 - b ------------- eqn 1

The total sales for a given year was $8379.70

Thus we frame a equation as:

number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70

[tex]a \times 249.99 + b \times 329.99 = 8379.70[/tex]

249.99a + 329.99b = 8379.70 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

249.99(30 - b) + 329.99b = 8379.70

7499.7 - 249.99b + 329.99b = 8379.70

80b = 8379.70 - 7499.7

80b = 880

Divide both sides by 80

b = 11

Substitute b = 11 in eqn 1

a = 30 - 11

a = 19

Thus 19 small mowers and 11 large mowers are sold

Answer: 10ft

Step-by-step explanation:

Using the Pythagorean theorem (a² + b² = c²) you would end up with an equation like this: 36 + 64 = 100. You would then square root 100 and the answer would be 10 ft