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denpristay [2]
3 years ago
6

-2(x + 5) = -16 = ???

Mathematics
2 answers:
34kurt3 years ago
8 0

Answer:

if you're looking for x its -13

MaRussiya [10]3 years ago
6 0

Answer:

x = 3

Step-by-step explanation:

Given

-2(x + 5) = -16

Expand the bracket

-2 x X +-2 x 5 = 16

The positive sign changes to minus

-2x - 10 = -16

Add 10 to both sides

-2x -10 + 10 = -16 + 10

-2x = -6

Divide both sides by-2

x = -6/-2

x = 3

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The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation
Wewaii [24]

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that \mu = 14, \sigma = 2

Sample of 100:

This means that n = 100, s = \frac{2}{\sqrt{100}} = 0.2

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

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

By the Central Limit Theorem

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

Z = \frac{14.2 - 14}{0.2}

Z = 1

Z = 1 has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

6 0
3 years ago
Find the measure of the numbered angle m<2
olya-2409 [2.1K]
130 degrees yuhhhhhhhh
5 0
3 years ago
Can someone help me understand the concept of finding the domain and range on a graph. I don’t understand it! Someone help me
juin [17]

Answer:

The Domain is where the line on your graph crosses the X axis.

The Range us where the line on your graph crosses the Y axis

And a arrow means it goes Into infinity

Step-by-step explanation:

Say you Have a line, it crosses the X axis at -3, your Domain would be -3!

Now say this line crosses the Y axis at -6, Your Range would be -6!

And now say if instead of the line ending at a dot after crossing -6 It has a arrow, that means you have infinity, Making your range instead of -6 it's be infinity! (If the arrow points up it's positive infinity, If the arrow points down it's negative infinity)

So for the first 2 numbers your answer would be [-3,-6] and in you have infinity itd be [-3, infinity) parenthesis isn't a error btw if you still don't get it I can just reply with a sheet I have on it

5 0
3 years ago
PLEASE HELP!!!!!!!!!!
Oksanka [162]

Answer:

B

Step-by-step explanation:

Data set D does not contain the value 128, which is the median value.

Data set C does not contain the outlier value 91.

Data set A contains value 168, which does not show up on the plot.

The only remaining choice is B.

_____

In order, the data values of set B are ...

... 91, 114, 120, 126, 128, 128 134, 136, 139, 142, 152

The median value of these 11 is the 6th one: 128. The median values of the remaining two sets of 5 are 120 and 139, making these values the quartiles at the ends of the box. The value 91 is more than 1.5 times the IQR (19) below the 1st quartile, so is considered an outlier. (The cutoff is 120-1.5·19=91.5.)

6 0
3 years ago
Read 2 more answers
Which is a y-intercept of the continuous function in the table? х – 4 -3 -2 -1 0 1 f(x) -10 0 0 – 4 -6 0 2 O (0,6) O (-2, 0) O (
Alexxandr [17]

Answer:

x:-4,-3,-2,-1,0,1

f(x):-10,0,0,-4,-6,0

from the table we can see when x=0, y=-6

Therefore the y-intercept will be (0,-6)

<u>OAmalOHopeO</u>

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8 0
3 years ago
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