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Sliva [168]
3 years ago
13

6a - 5b when a = -3 and b = 4

Mathematics
2 answers:
DIA [1.3K]3 years ago
8 0

Given.

6a - 5b

Plug in values.

6(-3) - 5(4) =

-18 - 20 =

-38

AURORKA [14]3 years ago
6 0

For this case we have the following expression:

6a-5b

We must evaluate the expression when:

a = -3\\b = 4

Then, replacing the values we have:6 (-3) -5 (4)

Taking into account that according to the law of the signs of multiplication, it is fulfilled that:

+ * - = -

So:

-18-20 =

Equal signs are added and the same sign is placed:

-38

Answer:

-38

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a football team gains 8 yards in one play, loses 5 yards in the next. What is the teams total yardage for the two plays
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6 0
3 years ago
The length of time that an auditor spends reviewing an invoice is approximately normally distributed with a mean of 600 seconds
Bumek [7]
Answer: 11.5% 

Explanation:


Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds. 

Now, we get the z-score for 720 seconds by the following formula:

\text{z-score} =  \frac{x - \mu}{\sigma}

where 

t = \text{time for the auditor to finish his work } = 720 \text{ seconds}
\\ \mu = \text{average time for the auditor to finish his work } = 600 \text{ seconds}
\\ \sigma = \text{standard deviation } = 100 \text{ seconds}

So, the z-score of 720 seconds is given by:

\text{z-score} = \frac{x - \mu}{\sigma}
\\
\\ \text{z-score} = \frac{720 - 600}{100}
\\
\\ \boxed{\text{z-score} = 1.2}

Let

t = time for the auditor to finish his work
z = z-score of time t

Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:

P(t \ \textgreater \  720) 
\\ = P(z \ \textgreater \  1.2)
\\ = 1 - P(z \leq 1.2)
\\ = 1 - 0.885
\\  \boxed{P(t \ \textgreater \  720)  = 0.115}

Hence, there is 11.5% chance that the auditor will spend more than 12 minutes in an invoice. 
8 0
3 years ago
Which quadratic function has a wider graph than y=2x^2?
Trava [24]

Answer:

y = 1/2 x²

Step-by-step explanation:

The coefficient of the first term in a quadratic, in our case here, x², will tell us how the graph stretches. This is akin to the slope within the linear graph. Similar to the slope, the smaller the coefficient value, or value of slope m, the shallower the angle.

When discussing quadratics, the larger the coefficient of our x² term, the steeper, and skinnier the graph. If we want to look for a graph that is wider than y = 2x², then we need to find a graph with a coefficient that is less than 2.

Our only option then is

y = 1/2 x²

8 0
3 years ago
If eleven plus two equal one,what dose nine plus five equal? <br>and one more <br>​
Rama09 [41]

Answer:

  • 2 O'Clock

Step-by-step explanation:

If 11+2=1

We want to determine what the value of 9+5 is.

  • 11 O'Clock+2 Hours =1 O'Clock

Therefore:

  • 9 O'Clock + 5 Hours =2 O'Clock
6 0
3 years ago
Read 2 more answers
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