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allochka39001 [22]
2 years ago
13

Write a point slope equation ​

Mathematics
1 answer:
Over [174]2 years ago
4 0

point slope equation formula: y - y1 = m (x - x1)

(-1,4) (-2,1)

answer:

1 -4 = 3 (-2+1)

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The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

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:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

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

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

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

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

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

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
If Lana deposits $500 into a savings account that gains simple interest at
Oksana_A [137]

Answer:

10 years

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year,

then, solving our equation

t = 100 / ( 500 × 0.02 ) = 10

t = 10 years

The time required to

accumulate simple interest of $ 100.00

from a principal of $ 500.00

at an interest rate of 2% per year

is 10 years.

3 0
3 years ago
Round 232.76 to 2 significant figures
lana [24]
So sig figs are non zero so

500 has 1 sig fig, 5
but 500. has 3 sig figs because it has a decimal

2.3 has 2 sig figs
2.03 has 3 sig figs so to make 232.76 to 2 sig figs you would put it into scientific notation and get 2.3 times 10^2 and thats 2 sig figs (the 10^2 doesn't count as a sig fig)
5 0
3 years ago
I NEEDDD HELPPPP ASAAAPPPPPPPPPPPPPPPP
lana66690 [7]

Answer:

m=0.5 b=1

Step-by-step explanation:

M is the increase in value by one square point via b.

B is the y axis beginning position.

I could be wrong, though.

6 0
3 years ago
Read 2 more answers
Evaluate the expression for the given value of the variable.<br><br> |4b-8|+|-1-b^2|+2b^3;b=2
Elena-2011 [213]

In this question we already know the value of 'b' so put the value b=2 in the equation

=|4(2)-8| + |-1-(2)^2| + 2(2)^3

=|8-8| + |-1-4| + 2(8)

=0 -5 +16

=11

4 0
3 years ago
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