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12345 [234]
3 years ago
6

8x = -6 what does x=?

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
6 0

Answer:

x = -3/4

Step-by-step explanation:

8x = -6

Divide each side by 8

8x/8 = -6/8

x = -3/4

kompoz [17]3 years ago
5 0

Answer:

-3/4

Step-by-step explanation:

8x = -6

x = -6/8 = -3/4

x = -3/4

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The mean number of words per minute (WPM) read by sixth graders is 97 with a standard deviation of 19 WPM. If 75 sixth graders a
andrey2020 [161]

Answer:

0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}};

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 97, \sigma = 19, n = 75, s = \frac{19}{\sqrt{75}} = 2.1939

What is the probability that the sample mean would be greater than 101.63 WPM?

This is 1 subtracted by the pvalue of Z when X = 101.63. So

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

By the Central Limit Theorem

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

Z = \frac{101.63 - 97}{2.1939}

Z = 2.11

Z = 2.11 has a pvalue of 0.9826.

1 - 0.9826 = 0.0174

0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM

5 0
3 years ago
The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original
Zanzabum

Answer:

The original number could be 85.

Step-by-step explanation:

Let the 2 digits be x and y.

Let the number be xy then, assuming that x is the larger digit:

x - y = 3.

x = y + 3

Also

10y + x + 10x + y = 143

Substituting for x:

10y + y + 3 + 10(y + 3) + y = 143

22y + 33 = 143

22y = 110

y = 5.

So x = y + 3 = 8.

6 0
3 years ago
Read 2 more answers
To get to school each morning, Vanessa takes a horse 19.33 miles and a train 2.27 miles. In total the journey takes 26.48 minute
yarga [219]
The journey is 21.6 miles in total
5 0
3 years ago
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Which of the following descriptions represents the transformation shown in the image​
Viktor [21]

Answer:  A. 270° rotation, 3 units left, and 2 units up

<u>Step-by-step explanation:</u>

C = (1, 1)        D = (3, 3)          E = (2, -2)

270° rotation counterclockwise means (x, y) = (y, -x)

new C = (1, -1)        new D = (3, -3)         new E = (-2, -2)

3 units left means subtract 3 from the x-coordinate

newer C =( -2, -1)        newer D = (0, -3)      newer E = (-5, -2)

2 units up means add 2 to the y-coordinate

C' = (-2, 1)       D' = (0, -1)       E' = (-5, 0)

Since the first option worked, there is no need to check the other options.

7 0
3 years ago
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Solve for x.<br> –4.5(x – 8.9) = 12.6<br> OVEC<br> Enter your answer, as a decimal, in the box.
Gnoma [55]

Step-by-step explanation:

just take -4.5 the right side

3 0
3 years ago
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