Please help me!!
Complete the truth table for the statement A ∧ ~(B ∧ C).

A B C A ∧ ~(B ∧ C)
T T T
?
T T F
?
T F T
?
T F F
?
F T T
?
F T F
?
F F T
?
F F F
?

Answer:

0.654

Step-by-step explanation:

There are 12 sweets in a bag.

4 are lemon flavour.

4 are caramel flavour.

4 are orange flavour.

Jude takes at random 3 sweets at the same time.

Work out the probability that exactly 2 of the sweets are the same flavour.

Probability = Required outcome / Total possible outcomes

Required outcome = either exactly 2 of lemon or 2 of caramel or 2 of Orange

Required outcome = 3[4C2 * 8C1) = 3(6*8) = 144

Total possible outcomes = 12C3 = 220

P(exactly 2 are same flavor) = 144 / 220 = 0.654

Answer:

of what............? you did not finish the question ⁉️

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

DE being a midsegment means that D is a midpoint. Then BD = DA, or x = 5.

Answer:

9 times

Step-by-step explanation:

P("5") = 1/6

n("5") = 1/6 × 54 = 9

Answer:

9

Step-by-step explanation:

(the number of different possible outcomes) 1/6 * 54 = 9

Hope that this helps!

Answer:

identity :- ( a + b ) ( a - b ) = a² - b ²

Answer :- 89,694

Step-by-step explanation:

Given : 294 × 306

split 294 × 306

294 × 306 = ( 300 - 6 ) × ( 300 + 6 )

Using Identity, ( a + b ) ( a - b ) = a² - b ² :

= ( 300 )² - ( 6 )²

= 90000 - 36

= 89,964

Hence, 294 × 306 = 89,694

Answer:

The answer is below

Step-by-step explanation:

The profit equation is given by:

p(t)= -25t³+625t²-2500t

The maximum profit is the maximum profit that can be gotten from selling t trailers. The maximum profit is at point p'(t) = 0. Hence:

p'(t) = -75t² + 1250t - 2500

-75t² + 1250t - 2500 = 0

t = 2.3 and t = 14.3

Therefore t = 3 trailers and t = 15 trailers

p(15) = -25(15³) + 625(15²) - 2500(15) = 18750

Therefore the company makes a maximum profit of approximately $18750 when it sells approximately 15 trailers.

Answer:

See below

Step-by-step explanation:

Since t is number of trailers, the domain includes only those values greater than 0.

On the relevant domain, the graph crosses the x-axis at the points (5,0) and (20,0). Between these points, the value of p(t) is positive. So the company makes a profit when it sells between 5 and 20 trailers.

On the positive interval between these points, the graph reaches a relative maximum when t roughly equals 14 and p(t) roughly equals $19,000.

So the maximum profit of approximately $19,000 occurs when it sells approximately 14 trailers.

Answer: spotting trends in data

Step-by-step explanation:

Answer:

[tex]t - 3.2 \le 7.5\\[/tex]

Step-by-step explanation:

Given

Represent as inequality

Taking the statement one at a time

So, the inequality is:

[tex]t - 3.2 \le 7.5\\[/tex]

Answer:

x = -5/2

Step-by-step explanation:

From the quadratic equation

the axis of symmetry for quadratics of the form

y = ax² + bx + c is

x = -b/2a

x² + 5x + 9

x = -5/2

9514 1404 393

Answer:

  A.  18

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

Here, the parallel bases have lengths 3 and 9. The height is 3, so the area is ...

  A = 1/2(3 +9)(3) = 18

The area of the trapezoid is 18 square units.

Answer:

70 feet

Step-by-step explanation:

as perimeter of triangle =

23+15+32= 70 feet

Answer:

Solution given:

side 1=23ft.

side 2=15ft

side 3=32ft

we have

perimeter=sum of all sides

=23+15+32=70ft

70ft tape will be needed.

Answer:

the answer is

[tex]3 - \frac{1}{2}n [/tex]

Answer:

4368 ways

Step-by-step explanation:

We want to choose 5 objects,without replacement from 16 distinct objects.

We can use combination in this case. The formula for the combination is given by :

[tex]_{n}C_r=\dfrac{n!}{r!(n-r)!}[/tex]

We have, n = 16 and r = 5

So,

[tex]_{16}C_5=\dfrac{16!}{5!(16-5)!}\\\\_{16}C_5=\dfrac{16!}{5!11!}\\\\=4368[/tex]

So, there are 4368 ways in which we want to choose  5 objects,without replacement from 16 distinct objects.

Answer:

1/5 of the students are 4th graders

Answer:

Step-by-step explanation:

The equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.

Given that, the perimeter of the bookend is 58 centimeters.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Now, the perimeter is

5m-14+2m-7+3/2 m+2+3m+8=58

⇒ 10m+3/2 m-11=58

⇒ (20m+3m)/2=69

⇒ 23m=138

⇒ m=138/23

⇒ m=6

Therefore, the equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ2

I hope it will help you.

Answer:

x = 9

Step-by-step explanation:

angle <1 and angle <2 is complementary and their sum is 90 degrees

3x + 5x + 18 = 90 add like terms

8x + 18 = 90 subtract 18 from both sides

8x = 72 divide both sides by 8

x = 9 to find the measure of angle <1 replace x with the value we found

Answer:

From the origin , move 3 units to the right and 2 units up. B

Answer:

0.42ft/mn

Step-by-step explanation:

we have the following information to answer this question

dv/dt = 40 feet

height = 11 ft

volume = 1/3πr²h

= 1/3π(h/2)²h

= 1/3πh³/4

= πh³/12

dv/dt = π3h²/12

= πh²/4

dh/dt = 4/πh²dv/dt

= 4(40)÷22/7(11)²

= 160/380.29

= 0.42 ft/min

The height of the pile is therefore increasing by 0.42ft/min at a height of 11 feets

Answer:

No evidence .because the configurations factors and failure mode are independent

Step-by-step explanation:

Determine if there is sufficient evidence to conclude that configuration affects the type of failure

Number of configurations = 3

Number of failures = 4

assuming Pij represents proportion of items in pop i of the category j

H0 : Pij = Pi * Pj,  I = 1,2,-- I,  j = 1,2,---J

Hence the expected frequencies will be

16.10 , 43.58 , 18, 12.31

7.5,  19.37, 8 , 5.47

10.73, 29.05, 12, 8.21

x^2 = 13.25

test statistic = 14.44. Hence the significance level where Null hypothesis will be acceptable will be = 2.5%

Answer:

25 yards is equal to 75 ft

Answer:

75 feet

Step-by-step explanation:

1 yard=3ft

so 25 times 3 equals 75 feet :)

Answer:

C

Step-by-step explanation:

Answer:c

Step-by-step explanation:the answers we’ll change we careful

Answer:

[tex]{ \tt{area = (7 \times 10) + (12 \times 4) + (5 \times 5)}} \\ { \tt{ = 70 + 48 + 25}} \\ { \tt{ = 143 \: {in}^{2} }}[/tex]

Answer: break into 2 rect and 1 sqr the sum areas of each

Step-by-step explanation: square = 5x5

Rectangle 1 = 10x7

Rectangle 2 = 12x4

Sum each shape area = total area

1.)

A) BME

B) MER

C) Mm

D) xBy

E) Straight

F) REB

G) MEB and BER

H) xBy

Answer:

22.3 minutes

Step-by-step explanation:

The computation of the travel time is as follows:

Given that

[tex]\mu[/tex] = 17

And, the standard deviation is 4.5

P(X≤C) = 0.88

P( x - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] ≤  (C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 0.88

(C - [tex]\mu[/tex])  ÷ [tex]\sigma[/tex]  = 1.175

c = [tex]\mu[/tex] +  1.175 × [tex]\sigma[/tex]

= 17 + 1.175 × 4.5

= 22.3 minutes

Hence, the travel time is 22.3 minutes

Answer:

Diego can choose the 15 items in 128 different ways.

Step-by-step explanation:

Since at the grocery store, Diego has narrowed down his selections to 4 vegetables, 8 fruits, 6 cheeses, and 4 whole grain breads, and he wants to use the Express Lane, so he can only buy 15 items, to determine how many ways can he choose which 15 items to buy if he wants all 6 cheeses the following calculation must be performed:

4 x 4 x 8 = X

16 x 8 = X

128 = X

Therefore, Diego can choose the 15 items in 128 different ways.

9514 1404 393

Answer:

  positive

Step-by-step explanation:

When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.

If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.

__

Additional comment

Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.

Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.

Answer:

11

Step-by-step explanation:

first, sort the numbers from lowest to highest.

5,5,6,7,8,9,10,*10,12*,14,15,17,18,18,18,20

the median is the number in the middle of the data

average if you need to (10+12 and divide by 2)