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Norma-Jean [14]
2 years ago
8

A car travels at an average speed of 56 miles per hour. How many miles does it travel in 4 hours and 15 minutes?

Mathematics
2 answers:
ivolga24 [154]2 years ago
8 0
56*(4+15/60)

56*(240+15)/60

56*(255)/60

238 miles


steposvetlana [31]2 years ago
7 0
Well you need to first convert 4hrs and 15 minutes to either a decimal hours or minutes, I would do minutes so 255 minutes. Then you set up a proportion of 56miles xmiles
----------- = --------------- Then solve 60x=(56*255)
60 minutes 255 minutes 60x=14280
----- ---------
60 60
x= 238
so the answer is 238miles
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Answer 6:7

explanation:
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3 years ago
A model predicts the profit, p of a company as p(x) = x3 – 3x2 – 16x + 48, where p is in thousands of dollars and x is number of
zavuch27 [327]
The first step is to determine the zeros of p(x).
From the Remainder Theorem, 
p(a) = 0  => (x-a) is a factor of p(x), and x=a is a zero of p(x).

Try x=3:
p(3) = 3^3 - 3*3^2 - 16*3 + 48 = 27 - 27 - 48 + 48 = 0
Therefore x=3 is a zero, and (x-3) is a factor of p(x).

Perform long division.
                    x²             -  16
      -------------------------------------
x-3 |  x³  -  3x²  -  16x  +  48
         x³  -  3x²
        -----------------------------------
                         -  16x  + 48
                         -  16x  +  48         

Note that x² - 6 = (x+4)(x-4).

Therefore the complete factorization of p(x) is
p(x) = (x-3)(x+4)(x-4)

To determine when p(x) is negative, we shall test between the zeros of p(x)
   x      p(x)       Sign
----  ---------    ---------
  -4          0    
   0        48         +
   3           0
3.5   -1.875         -
   4           0

p(x) is negative in the interval x = (3, 4).

Answer
The time interval is Jan. 1, 2014 to Jan. 1, 2015.
3 0
2 years ago
Imagine you are a financial analyst at an investment bank. According to your research of publicly-traded companies, 60% of the c
lilavasa [31]

Answer:

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Company fires the CEO

Event B: Shares increase by more than 5%.

Probability of a company firing it's CEO:

35% of 100 - 4 = 96%(shares did not increase by more than 5%).

60% of 4%(shared did increase by more than 5%).

So

P(A) = 0.35*0.96 + 0.6*0.04 = 0.36

Intersection of events A and B:

Fires the CEO and shared increased by more than 5%, is 60% of 4%. So

P(A \cap B) = 0.6*0.04 = 0.024

Probability that the shares of a company that fires its CEO will increase by more than 5%.

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.024}{0.36} = 0.0667

0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.

5 0
2 years ago
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vesna_86 [32]
6
9
×__
54. or u can do 6×9 =54 so u can do it either way or do the 9 trick



and the fact is
8 0
3 years ago
Read 2 more answers
Help me I’m struggling
Ad libitum [116K]

Answer:

Hey there!

(8^2)^-4=8^2(-4), or 8^-8

8^-8 can be expressed as the third option.

Hope this helps :)

5 0
3 years ago
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