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Vitek1552 [10]
3 years ago
6

Write the equation of a line that goes through point (0,8) and has a slope of 0

Mathematics
2 answers:
puteri [66]3 years ago
4 0
I think the answer is B it would be a vertical line with the rise/run for finding slope
Semmy [17]3 years ago
4 0

The equation of a line that goes through point (0,-8) has a slope of 0 is \bold{y=-8}

Option - c

<u>Solution:</u>

Given, the slope of line passing through (0, -8) is 0

Point- slope form of a line is y - y_1 = m (x - x_1)

where m is the slope; y_1= -8 \text{ and } x_1= 0

On substituting the values we get,

y-(-8)=0\times x-0 \rightarrow y+8=0

\bold{\Rightarrow y=-8}

Thus, the required equation is y=-8

Slope:

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

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Factorise completely;<br>y(ay-x)+x(y-ax)​
Kay [80]

Answer:

ay2 - xy + xy - ax2

ay2- ax2

5 0
2 years ago
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
steve has quiz scores of 60,64,75,71. If all the quizzes count the same, what is the lowest grade he can make on the next quiz t
NeX [460]

Answer:

The last quiz score must be at least an 80 to get the average to be a 70.

Step-by-step explanation:

In order to find this, you need to take the average of the 4 test scores along with the unknown test score (x). So, to find an average, we add all the numbers together and divide by the amount of tests taken. We can then set this equal to 70 since that is the minimum average.

(60 + 64 + 75 + 71 + x)/5 = 70 ------> Multiply both sides by 5

(60 + 64 + 75 + 71 + x) = 350 -----> Combine like terms

270 + x = 350 -----> Subtract 270 from both sides

x = 80

7 0
3 years ago
Anyone know how to do this? Please help
denpristay [2]

Answer:

93.6 inch^2

Step-by-step explanation:

sides=6 side-length=6 inches Apothem= 5.2 inches Area= 6*(1/2)(6)(5.2)

3 0
3 years ago
Which expression best represents the difference between triple a number and double a number?
rusak2 [61]
Let x be the number. With this representation, double this number is 2x and thrice is 3x. We are asked to give an expression for the difference (subtraction) of these numbers, the answer to this question should be,
                                 3x - 2x
6 0
3 years ago
Read 2 more answers
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