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andreyandreev [35.5K]
4 years ago
6

-8q+6+5q-3 what does q equal

Mathematics
1 answer:
alisha [4.7K]4 years ago
3 0
In this equation q is equal to 1
STEPS:
-8q+6+3q-3 (original equation)
-3q+3 (combine like terms)
3q=3 (move -3q to the other side so you can divide to get what q is. When you move it over to the other side it becomes positive)
q=1 (divided)
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Help needed and explained too!!
AleksandrR [38]

Answer:

There are 1680 different ways four letters can be arranged.

Since you are using the permutation formula, plug in the values and solve.

P(n,r) = P(8,4)

= 8! / (8−4)!

= 1680

Spelling out LION is only one of the 1680 possible outcomes. Therefore the fraction 1/1680 would represent this probability.

P(LION) = 1/1680

5 0
3 years ago
What is the answer to this?
katrin [286]

Answer:

\huge\boxed{-28}

Step-by-step explanation:

We can substitute the given values of a, b, and c to find the value of this expression.

-4 | a + b - c|

-4 | 3 + (-2) - (-6)|

We know that <em>two negatives make a positive. </em>This means that -2 - (-6) will be the same this as -2+6

-4 | 3 + -2 + 6|

Adding a negative is the same as subtracting a positive.

\4 | 3-2+6|\\\\3-2+6 = 7

-4 \cdot 7 = -28

Hope this helped!

7 0
3 years ago
Read 2 more answers
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school he puts m mechanical pe
Mashcka [7]

Answer:

The total number of pencils is 6

Step-by-step explanation:

According to the given scenario, the computation of the total number of pencils is as follows:

There are 18 students

And let us assume there is m mechanical pencils that put in each bag

also he put twice of the regular pencil

So if he put the 3 mechanical pencil

So, the total number of pencils is

= 3 × 2

= 6

As it twice of the regular pencil

hence, the  total number of pencils is 6

5 0
2 years ago
Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope
d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 46.8, \sigma = 1.75

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{50 - 46.8}{1.75}

Z = 1.83

Z = 1.83 has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

Z = \frac{X - \mu}{\sigma}

Z = \frac{48 - 46.8}{1.75}

Z = 0.685

Z = 0.685 has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

6 0
3 years ago
Ted Roberts earned a salary of $41,700 last year. His benefits were 32.5% of
Paul [167]

Step-by-step explanation:

Ted's second job offers 49,024 and it is 3819 greater than the first job

3 0
2 years ago
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