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KengaRu [80]
3 years ago
8

Y = -7 + 2x slope = y-intercept =

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
3 0

Answer:

The slope is 2 and the y intercept is -7

Step-by-step explanation:

y = -7 + 2x

Rearranging

y =  2x -7

This is in the form y = mx+b where m is the slope and b is the y intercept

m = 2 and b = -7

andriy [413]3 years ago
3 0
Slope-2, y intercept is negative 7
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X+78=3x-2 <br> ..................
photoshop1234 [79]

Answer:

x=40

Step-by-step explanation:

x+78=3x-2\\\mathrm{Subtract\:}78\mathrm{\:from\:both\:sides}\\x+78-78=3x-2-78\\x=3x-80\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\x-3x=3x-80-3x\\\\

-2x=-80\\\frac{-2x}{-2}=\frac{-80}{-2}\\x=40

6 0
3 years ago
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters,
FinnZ [79.3K]

Answer:

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

Step-by-step explanation:

To solve this question, we need to understan 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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 139, \sigma = 6, n = 40, s = \frac{6}{\sqrt{40}} = 0.9487

Either the sample mean differs by 0.8 mm or less from the population mean, or it differs by more. The sum of these probabilities is decimal 1.

Probability it differs by less than 0.8mm

pvalue of Z when X = 139 + 0.8 = 139.8mm subtracted by the pvalue of Z when X = 139 - 0.8 = 138.2 mm

X = 139.8

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

By the Central Limit Theorem

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

Z = \frac{139.8 - 139}{0.9487}

Z = 0.84

Z = 0.84 has a pvalue of 0.7995

X = 138.2

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

Z = \frac{138.2 - 139}{0.9487}

Z = -0.84

Z = -0.84 has a pvalue of 0.2005

0.7995 - 0.2005 = 0.5990

What is the probability that the sample mean would differ from the population mean by more than 0.8 millimeters?

p + 0.5990 = 0.4010

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

7 0
3 years ago
2 Points
Gnesinka [82]
Answers are A, C, and D!
3 0
3 years ago
Jaime wants to know how fast she can type, so she times herself as she types a paper. The paper has 442 words in it, and Jaime t
ololo11 [35]

Answer:

34

Step-by-step explanation:

First you find out how many words in the paper and then divide it by how many minutes to get your answer

5 0
3 years ago
Complete the coordinate proof of the theorem.
mojhsa [17]
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)

the length of AC can be calculated with the theorem of Pythagoras:

length AB = a - 0 = a
length BC = b - 0 = b

seeing as the length of AC is the longest, it can be calculated by the following formula:

It is called "Pythagoras' Theorem" and can be written in one short equation:

a^2 + b^2 = c^2 (^ means to the power of by the way)

in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:

a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)

Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!


3 0
3 years ago
Read 2 more answers
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