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lisov135 [29]
3 years ago
9

Your meal plan allows you 500 dollars to use per month. So far this month, you have used 345 dollars and you have 9 days left on

this month's plan. Which inequality could you use to determine how many dollars at most you can use per day so that you don't go over your monthly plan dollars?
Mathematics
1 answer:
mart [117]3 years ago
5 0

Answer:

x=9, x greater then or equal to 55

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
0.36(18)+0.04x=0.12(24+x)
zhuklara [117]

Answer:

x = 45

Step-by-step explanation:

0.36(18) + 0.04x = 0.12(24 + x)

6.48 + 0.04x = 2.88 + 0.12x

0.04x - 0.12x = 2.88 - 6.48

-0.08x = -3.6

0.08x = 3.6

x = 3.6/0.08

x = 45

3 0
2 years ago
Read 2 more answers
A paintball court charges an initial entrance fee plus a fixed price per ball. The variable ppp models the total price (in dolla
DaniilM [7]

Answer:

$5.50

Step-by-step explanation:

The function we are given is

p = 0.80n + 5.50,

where n is the number of balls.

Multiplying this variable by 0.80 means $0.80 will be the cost per ball.  The additional amount added to the variable in the function, 5.50, will be the entrance fee.

7 0
3 years ago
Read 3 more answers
my teacher has 30 red apples and 40 green apples is she adds all of them together how many will she have
maksim [4K]
She will have 70 green apples
7 0
3 years ago
Read 2 more answers
Answer in simplest form
andriy [413]
We need to cross multiply to solve it.

After we cross multiply we get

6x-1 = 3 x 5
6x-1 = 15
6x = 16
x = 16/6
x = 8/3

Hope that helps :D
6 0
3 years ago
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