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steposvetlana [31]
2 years ago
15

An office supply store sells pencils individually or by the case. Pencils purchased individually cost $0.97 each. One case of fo

rty pencils costs $37.20.
If purchased in a case, the average cost per pencil is
Mathematics
1 answer:
AnnyKZ [126]2 years ago
3 0

Answer:

$00.90

Step-by-step explanation:

If you dive the total cost of the case, $37.20, by the total number of pencils, 40, that's the answer you get.

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(5 - 3)⁴ - 2(7) + 8² = ?
Veseljchak [2.6K]

Answer:

66

Step-by-step explanation:

(5 - 3)⁴ - 2(7) + 8²

PEMDAS

Parentheses first

(2)⁴ - 2(7) + 8²

Exponents

16 - 2(7) + 64

Multiply and divide from left to right

16 -14 +64

Add and subtract from left to right

2+64

66

7 0
3 years ago
How do i use the distributive law to factor 5x+10+15y
ehidna [41]
5x+ 10+ 15y
= 5*x+ 5*2+ 5*(3y)
= 5*(x+2+3y)

The final answer is 5(x+2+3y)~
6 0
3 years ago
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
The tour cost $359 per person you pay have to pay a deposit of $78 in advance how much do you more do you need to pay
horrorfan [7]

Answer:

$437

Step-by-step explanation:

6 0
2 years ago
Consider the quadratic equation below. 4x^2-5=3x+4 Determine the correct set-up for solving the equation using the quadratic for
lidiya [134]

4x^2-5=3x+4

4x^2 - 3x - 5 - 4 = 0

4x^2 - 3x -9 = 0

x= \dfrac{3 \pm \sqrt{3^2 - 4(4)(-9)}}{2(4)}

x = \frac 1 8 (3 \pm \sqrt{9(1 + 16)})

x = \frac 1 8 (3 \pm 3\sqrt{17})


7 0
3 years ago
Read 2 more answers
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