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USPshnik [31]
3 years ago
5

Try solving this: (5 3/4) (2)

Mathematics
1 answer:
denpristay [2]3 years ago
7 0

Answer:

11 1/2

Step-by-step explanation:

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Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the
Black_prince [1.1K]

Answer:

a)  P(2)=0.270

b) P(X>3)=0.605

c)  P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the  Poisson distribution:

\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}

a)  In this case: \lambda=2.1

P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270

Therefore, the probability is P(2)=0.270.

b)  In this case: \lambda=2\cdot 2.1=4.2

P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605

Therefore, the probability is P(X>3)=0.605.

c)  We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: \lambda=2\cdot 2.1=4.2

P(X\geq 5)=1-P(X

Therefore, the probability is P=0.410.

4 0
3 years ago
Find the distance between the two points! <br> PLEASE DO THIS ASAP!!<br> no links
Tems11 [23]

Answer:

5

Step-by-step explanation:

The distance is given by sqrt((-3-0)^2+(-3-1)^2)=sqrt(9+16)=5

5 0
3 years ago
Read 2 more answers
Solve 3 [-x + (2 x + 1)] = x - 1.<br> X=
Anna35 [415]

Answer:

-2

Step-by-step explanation:

1. Distribute: -3x + 6x + 3 = x-1

2. Combine like terms: 3x + 3 = x-1

3. Subtract 3 on both sides: 3x = x-4

4. Subtract x on both sides: 2x = -4

5. Divide each side by 2: x = -2

6. Check by plugging in -2 to the equation:

4 0
2 years ago
What is the area of this figure?
Oksanka [162]
<h3>Answer:  297 square cm</h3>

=============================================

Work Shown:

Break up the figure as shown in the diagram below.

A rectangle and trapezoid form

-------------

Area of rectangle = base*height = 9*15 = 135 cm^2

Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2

total area = (area of rectangle)+(area of trapezoid)

total area = (135) + (162)

total area = 297 square cm

3 0
3 years ago
The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of x that makes the two piec
pantera1 [17]

Using proportions, the value of x that makes the triangle similar is of x = 14.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we want the triangles to be similar, hence the lengths of it's sides follow the proportion given next:

\frac{6}{12} = \frac{7}{x}

Applying cross multiplication:

6x = 12 x 7

x = 2 x 7

x = 14.

The value of x that makes the triangle similar is of x = 14.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

7 0
1 year ago
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