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nlexa [21]
3 years ago
15

The slope of a line is 2. The y-intercept of the line is -6.

Mathematics
2 answers:
Leya [2.2K]3 years ago
7 0

The equation of a line is written as y - mx +b, where m is the slope and b is the y-intercept.

Replacing m and b with the given information the equation is:

y = 2x -6

elena55 [62]3 years ago
7 0

Answer:

y=2x -6

Step-by-step explanation:

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A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. Explain
Elanso [62]

The order of the scale drawings from smallest to largest is

Smallest

1 in to 1 ft

Second smallest

1 in to 1 yd

Largest

1 in to 1 m

Given the following scales:

1 in to 1 ft

1 in to 1 m

1 in to 1 yd

We are to arrange the scales from smallest to largest.

Since 1 in is used as the base conversion for all the scales, we can convert the other scales to yards for consistency's sake.

Convert 1m to yards

1m = 1.1yards (From the question)

Convert 1ft to yards. According to conversion factor;

1 feet = 0.333333 yards

Ordering the scales from smallest to largest will give

0.33333yard (1 in to 1 ft), 1 yard (1 in to 1 yd), 1.1yards (1 in to 1 m)

Learn more here: brainly.com/question/14348682

5 0
3 years ago
Write down the 5th term in the sequence given by t(n) = n^2 +2n
madam [21]
So it our equation would be t(5)=5^2+2(5)
25+10=35 :)
5 0
3 years ago
Read 2 more answers
X2 + 4x - 21 = 0 quadratic formula
Elena-2011 [213]

Answer:

0

Step-by-step explanation:

x2 +4x-21=0. solve for x

x =  \frac{7}{2}

x = 3 \frac{1}{2}  \ x = 3.5

6 0
3 years ago
Question Help Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 5656 hours and a
koban [17]

Answer:

a)3.438% of the light bulbs will last more than 6262 hours.

b)11.31% of the light bulbs will last 5252 hours or less.

c) 23.655% of the light bulbs are going to last between 5858 and 6262 hours.

d) 0.12% of the light bulbs will last 4646 hours or less.

Step-by-step explanation:

Normally distributed problems can be solved by the z-score formula:

On a normaly distributed set with mean \mu and standard deviation \sigma, the z-score of a value X is given by:

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

After we find the value of Z, we look into the z-score table and find the equivalent p-value of this score. This is the probability that a score will be LOWER than the value of X.

In this problem, we have that:

The lifetimes of light bulbs are approximately normally​ distributed, with a mean of 5656 hours and a standard deviation of 333.3 hours.

So \mu = 5656, \sigma = 333.3

(a) What proportion of light bulbs will last more than 6262 ​hours?

The pvalue of the z-score of X = 6262 is the proportion of light bulbs that will last less than 6262. Subtracting 100% by this value, we find the proportion of light bulbs that will last more than 6262 hours.

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

Z = \frac{6262 - 5656}{333.3}

Z = 1.82

Z = 1.81 has a pvalue of .96562. This means that 96.562% of the light bulbs are going to last less than 6262 hours. So

P = 100% - 96.562% = 3.438% of the light bulbs will last more than 6262 hours.

​(b) What proportion of light bulbs will last 5252 hours or​ less?

This is the pvalue of the zscore of X = 5252

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

Z = \frac{5252- 5656}{333.3}

Z = -1.21

Z = -1.21 has a pvalue of .1131. This means that 11.31% of the light bulbs will last 5252 hours or less.

(c) What proportion of light bulbs will last between 5858 and 6262 ​hours?

This is the pvalue of the zscore of X = 6262 subtracted by the pvalue of the zscore X = 5858

For X = 6262, we have that Z = 1.81 with a pvalue of .96562.

For X = 5858

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

Z = \frac{5858- 5656}{333.3}

Z = 0.61

Z = 0.61 has a pvalue of .72907.

So, the proportion of light bulbs that will last between 5858 and 6262 hours is

P = .96562 - .72907 = .23655

23.655% of the light bulbs are going to last between 5858 and 6262 hours.

​(d) What is the probability that a randomly selected light bulb lasts less than 4646 ​hours?

This is the pvalue of the zscore of X = 4646

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

Z = \frac{4646- 5656}{333.3}

Z = -3.03

Z = -3.03 has a pvalue of .0012. This means that 0.12% of the light bulbs will last 4646 hours or less.

5 0
3 years ago
What is the difference between the measured values 1.05 and 1.050?
Black_prince [1.1K]
There is no difference. Both mean the same measurement except that 1.050 is presented in 4 significant figure and 1.05 in 3 significant figure.
4 0
3 years ago
Read 2 more answers
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