Who is correct and explain why.

Answer:

Step-by-step explanation:

a. x=11 1/3

b. x=4

c. x=2

d. x=7

answer:

4/63

steps:

5/9 x 4/7=20/63

20/63 x 1/5=4/63

Answer:

36 pizzas

4 cases of sauce and 3 cases of cheese.

Step-by-step explanation:

In order to solve this problem, we need to find the least common multiple of both of these numbers. We do this by simply multiplying these numbers by each factor of 1 until an equal value is an output. Like so...

9*1 = 9                    12*1 = 12

9*2 = 18                  12*2 = 24

9*3 = 27                  12*3 = 36

9*4 = 36

We can now see that the fewest number of pizzas we can make without having anything left over is 36 pizzas. To do this we would need 4 cases of sauce and 3 cases of cheese.

a. The probability that the customer ordered dessert is approximately 0.1732. b. The probability that the customer came for lunch or ordered dessert is approximately 0.4252.

(a) The total number of customers who ordered dessert is 7 + 15 = 22. The total number of customers is 127. So the probability that the customer ordered dessert is:

P(dessert) = 22/127

P(dessert) ≈ 0.1732

(b) The number of customers who came for lunch or ordered dessert is 7 + 32 + 15 = 54. The total number of customers is 127. So the probability that the customer came for lunch or ordered dessert is:

P(lunch or dessert) = 54/127

P(lunch or dessert) ≈ 0.4252

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Answer:

-187

Step-by-step explanation:

2*2-45+2-4*37

(multiply)

4-45+2-148

(calculate)

-187

The probabilities are

a. P(X=0) = 0.3277

b. P(X=8) = 0.00195

c. P(X=7) = 0.2228

d. P(X=3) = 0.4095

To determine the probabilities for the given scenarios, we can use the binomial probability formula:

P(X = k) = (n C k) * π^k * (1 - π)^(n - k)

where:

P(X = k) represents the probability of getting exactly k successes,

n is the number of trials,

π is the probability of success in a single trial,

(n C k) represents the combination of n items taken k at a time.

a. For n = 5 and π = 0.19, to find P(X = 0):

P(X = 0) = (5 C 0) * 0.19^0 * (1 - 0.19)^(5 - 0)

        = 1 * 1 * 0.81^5

        ≈ 0.3277

Rounded to four decimal places, P(X = 0) is approximately 0.3277.

b. For n = 9 and π = 0.50, to find P(X = 8):

P(X = 8) = (9 C 8) * 0.50^8 * (1 - 0.50)^(9 - 8)

        = 9 * 0.50^8 * 0.50^1

        = 9 * 0.50^9

        ≈ 0.00195

Rounded to four decimal places, P(X = 8) is approximately 0.00195.

c. For n = 9 and π = 0.40, to find P(X = 7):

P(X = 7) = (9 C 7) * 0.40^7 * (1 - 0.40)^(9 - 7)

        = 36 * 0.40^7 * 0.60^2

        ≈ 0.2228

Rounded to four decimal places, P(X = 7) is approximately 0.2228.

d. For n = 4 and π = 0.85, to find P(X = 3):

P(X = 3) = (4 C 3) * 0.85^3 * (1 - 0.85)^(4 - 3)

        = 4 * 0.85^3 * 0.15^1

        ≈ 0.4095

Rounded to four decimal places, P(X = 3) is approximately 0.4095.

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Answer:

y=-1/2x+3/4

Step-by-step explanation:

just divide the entire equation by 4, so that y is isolated.

The standard form equation of a line is y=mx+b

Answer:

5 times

Step-by-step explanation:

Assume the height of the streetlamp to be x

If you make a diagram from the details given by the question you should find two pairs of similar sides, from which you can form the equation

[tex]\frac{x}{6} = \frac{20+5}{5}[/tex]

Solving this gives the height of the streetlamp as 30 feet. Divide this length by the height of the man to get the number of times the streetlamp is taller.

Answer:

air is a type of oxegen that we breath

Step-by-step explanation:

we get air from trees .

Answer:

(f-g)(x)=x+14

Step-by-step explanation:

Operations with Functions

Given two functions f(x) and g(x), the following operations are defined:

(f+g)(x)=f(x)+g(x)

(f-g)(x)=f(x)-g(x)

(f*g)(x)=f(x)*g(x)

(f/g)(x)=f(x)/g(x)

We have f(x)=3x+10 and g(x)=2x-4. Use the second formula to find

(f-g)(x)=(3x+10)-(2x-4)

Operating:

(f-g)(x)=3x+10-2x+4

Joining like terms:

(f-g)(x)=x+14

Answer:

The perimeter of Chen's office is 46.6 feet.

Step-by-step explanation:

Since the perimeter P = 2l + 2w where l = length of Chen's office and w = width of Chen's office.

Now, since length of Chen's office = l = 15.5 feet and width of Chen's office = w = 7.8 feet, we substitute these values into the equation for the perimeter.

Substituting these values of length and width, we have

P = 2l + 2w

P = 2(15.5) + 2(7.8)

P = 31 + 15.6

P = 46.6 feet

So, the perimeter of Chen's office is 46.6 feet.

Answer:

sorry but this is very confusing but i'll try for the sake of it.

Step-by-step explanation:

M+T=Y

Answer:

6x+9

Step-by-step explanation:

When we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

Let's go through the steps in more detail:

Start with the equation y = f(x).

To find the differential, we differentiate both sides of the equation with respect to x, which gives us dy/dx on the left side and d/dx (5x^2 - 6x) on the right side.

Applying the power rule of differentiation, the derivative of 5x^2 with respect to x is 10x. The derivative of -6x with respect to x is -6.

Combining these derivatives, we get dy/dx = 10x - 6.

The differential of the function is represented as dy = (10x - 6)dx, where dx represents a small change in the x-value and dy represents the corresponding small change in the y-value.

In summary, when we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

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Answer:

-299

Step-by-step explanation:

Answer:

a) 64

b)11664

Step-by-step explanation:

Se tiene que seguir la jerarquía de operaciones y la ley de los signos. Primero resuelve lo que esta dentro de paréntesis. ejm:

a) 8+ (5+3)=

   8+(8)=

   8(8)=    (multiplicamos)

    64

rAnswer:

50%

Step-by-step explanation:

7 nurses

3 doctors

4 offices

14 in total

7/14 or 50% is the probability

The probability that three nurses are selected is 7/14.

Probability refers to a possibility that deals with the occurrence of random events.

From the information, the total outcome if nurses are randomly selected is expressed as:

Total outcome = 7 + 4 + 3 = 14 outcomes

In order to get the probability that three nurses are selected, the expected outcome is 7;

P = 7/14

Hence the probability that three nurses are selected is 7/14.

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Answer:

z = 0

Step-by-step explanation:

Step 1: Write equation

9z - 5 - 4z = -5

Step 2: Solve for z

Step 3: Check

Plug in x to verify it's a solution.

9(0) - 5 - 4(0) = -5

0 - 5 - 0 = -5

-5 = -5

Answer:

z=0

Step-by-step explanation:

First, let's combine like terms (9z and -4z). When we add these two values, we get 5z. This leaves the left side to be 5z-5 and that is equal to -5. To get z by itself, we have to add 5 on both sides. This equals 5z=0. Then, we divide by 5 on both sides since the inverse operation of multiplication is division. This leaves z=0.

Answer:

Yes, it equals 0.

Step-by-step explanation:

12+-8=3(x+4)

12+-8x=3x+12

-8x+12=3x+12

-8x+12-3x=3x+12-3x

-11x+12=12

-11x+12-12=12-12

-11x=0

-11x/-11=0/-11

x=0

To find the value of "p" from the polynomial x^2 + 3x + p, if one of the zeroes of the polynomial is 2, we can use the fact that if 2 is a zero of the polynomial, then (x - 2) is a factor of the polynomial.

So, let's divide the polynomial x^2 + 3x + p by (x - 2) using polynomial long division:

___________________

(x - 2) | x^2 + 3x + p

- (x^2 - 2x)

_______________

5x + p

- (5x - 10)

_______________

p + 10

The remainder of the division is p + 10.

Now, since 2 is a zero of the polynomial, the remainder of the division should be zero. Therefore, we can equate the remainder to zero:

p + 10 = 0

Solving for "p", we subtract 10 from both sides:

p = -10

So, the value of "p" is -10.

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Answer:

y≤-7 or y≥-7

Step-by-step explanation:

It will depend on the shading of the graph but this graph is not shaded so either one of them will be your answer.

The equilibrium quantity is 120 units. The quantity supplied (Qs) equal to the quantity demanded (Qd) and solve for the value of Q.

To find the equilibrium quantity, we need to set the quantity supplied (Qs) equal to the quantity demanded (Qd) and solve for the value of Q.

Given:

Qs = -20 + 10p

Qd = 400 - 20p

Setting Qs equal to Qd:

-20 + 10p = 400 - 20p

Let's solve this equation for p:

10p + 20p = 400 + 20

30p = 420

p = 420/30

p = 14

Now that we have the value of p, we can substitute it back into either the Qs or Qd equation to find the equilibrium quantity.

Using Qd = 400 - 20p:

Qd = 400 - 20(14)

Qd = 400 - 280

Qd = 120

Therefore, the equilibrium quantity is 120 units.

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Answer:

•y=m(35+0.75)

•15(0.20×)

Answer:

5.5

Step-by-step explanation:

Add the two then divide by 2

7.5 +3.5= 11

11÷2= 5.5

Answer:

Each kid will get 2.5 submarine sandwiches

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Answer:

42%

Step-by-step explanation:

The best way to start is to work with common units. In this case, seconds are best.

1 minute = 60 seconds

50 minutes = (60 x 50) = 3000 seconds

3000 + 18 = 3018 seconds

This is our first variable.

1 hour = 3600 seconds(if you change to mins then to seconds is fine too)

2 hours = (3600 x 2) = 7200 seconds

From the question, we can tell;

2 hours = 100%

So we need to find out, 50 minutes 18 seconds = x%

( x is our unknown)

7200 seconds = 100%

3018 seconds = ((3018 x 100) ÷ 7200)

41.916 %

Let's round of to the nearest 1

42% (since 9 is higher than 5, we add 1 to the number before it)

Answer:

B

Step-by-step explanation:

In the equation it states there is a one-time fee charge so we would add this when writing it in an expression. Since the expressions is: T = 15n + 12; and the only number being added is 12, we can assume the number 12 represents the service fee cost.

Answer:

is A: A=B

Step-by-step explanation: