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3 years ago

Choose which line represents the line of the best fit

Mathematics

2 answers:

erastova [34]3 years ago

7 0

Answer:

Step-by-step explanation:

I would say B

kodGreya [7K]3 years ago

4 0

It’s online B. I mean idrk how else to explain this other than find a line that looks like it’s the closest to connecting the dots

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How do I subtract decimals from whole numbers?

Gekata [30.6K]

Answer:

Just use long subtraction by expanding the decimal places of the whole number. This is done by adding a point, and enough zeros to it to match the number of decimal digits in the other number (digits after the decimal point).

12345678

i.e: 5 - 2.48374827, 2.48374827 has 8 decimal digits, so add 8 zeros after the point.

1 1 1 1 1 1 1

5.00000000

2.48374827

_______________

2.51625173

7 + 3 = 10, 7 + 2 + 1 = 10, 8 + 1 + 1= 10, 5 + 4 + 1 = 10, 2 + 7 + 1 = 10, 3 + 6 + 1 = 10, 1 + 8 + 1 = 10, 5 + 4 + 1 = 10, 2 + 2 + 1 = 5 : 5.00000000

This is basically borrowing a group of 10s which are the same as 1s in the next decimal place up.

For each digit except the first to the right, let 10 subtract that number from it and minus 1 since the 1 is carried over.

7 0

3 years ago

My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and

Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 1600, \sigma = 70$

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.

So it is X when Z = -2.33.

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

$-2.33 = \frac{X - 1600}{70}$

$X - 1600 = -2.33*70$

$X = 1436.9$

The bulbs should be replaced each 1436.9 hours.

6 0

3 years ago

Find a vector of magnitude 3 in the direction of v = 10i - 24k. The vector is Oi-Oj+k (Simplify your answer. Use integers or fra

Soloha48 [4]

Given :

A vector v = 10i - 24k.

To Find :

A vector of magnitude 3 in the direction of v = 10i - 24k.

Solution :

Unit vector in the direction of vector v is :

$\^{v}=\dfrac{v}{|v|}\\\\\^{v}=\dfrac{10i-24k}{\sqrt{10^2+24^2}}\\\\\^{v}=\dfrac{10i-24k}{26}$

Now , vector of magnitude 3 in direction v is :

$r=3 \^{v}\\\\r=3\times \dfrac{ (10i-24k)}{26}\\\\r=\dfrac{3}{13} (5i-12k)$

Hence , this is the required solution .

6 0

3 years ago

Show the work of 6.2 +3.4

Musya8 [376]

Answer:

9.6

Step-by-step explanation:

When we are adding decimals we try 2 add them like normal integers, but in the end we add the decimal in the same place as it was in the beginning

so 62+34=96 and there's a decimal in the tenths place so its 9.6

8 0

3 years ago

Jim rented a truck for one day . There was a base fee of $18.95 and there was an additional charge of 74 cents for each mile dri

Oksana_A [137]

Answer:

136 miles

Step-by-step explanation:

subtract $119.59 with how much he rented the truck for, which is $18.95 which makes his money at $100.64, then divide by how much each mile costed which was 74 cents

which gives you 136 so 136 miles.

Hope this helps :)

8 0

2 years ago