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3 years ago

Write the equation of the line that passes through the points (6,2) (4,1)

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

slope = 2 - 1 / 6 - 4 =1/2

Point slope formula (I used point (6,2)):

y - 2 = 1/2 (x - 6)

y = 1/2 x - 1

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What is the answer and please show work

zhuklara [117]

#26 right?

35x + 140 = 1050
-140 -140

35x = 910
35 35

x = 26 weeks

7 0

3 years ago

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologi

il63 [147K]

Answer:

The formula to generate 70% confidence interval is: $[\overline{x} - 0.013, \overline{x} + 0.013]$ , in which $\overline{x}$ is the sample mean.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.7}{2} = 0.15$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.15 = 0.85$ , so Z = 1.037.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that $\sigma = 0.04$ .

Sample of 10 birds:

This means that $n = 10$ .

The margin of error is of:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.037\frac{0.04}{\sqrt{10}}$

$M = 0.013$

The lower end of the interval is the sample mean of $\overline{x}$ subtracted by M.

The upper end of the interval is the sample mean of $\overline{x}$ added to M.

Then, the formula to generate 70% confidence interval is: $[\overline{x} - 0.013, \overline{x} + 0.013]$ , in which $\overline{x}$ is the sample mean.

8 0

3 years ago

What does 3.92 × 0.051 equal. Plz explain how u found the answer to me

DerKrebs [107]

0.19992 because u need to times the digits

3 0

3 years ago

Read 2 more answers

The sum of two consecutive odd integers is at least 16

elena-14-01-66 [18.8K]

Odd integers are represented by 2n+1 where n is a whole number

consecutive odd are 2 apart so
they are 2n+1 and 2n+1+2

the sum of them is at least 16
2n+1+2n+1+2>16
4n+4>16
minus 4
4n>12
divide 4
n>3
sub back

2n+1 and 2n+3
2(3)+1 and 2(3)+3
6+1 and 6+3
7 and 9

they have to be at least 7 and 9

5 0

3 years ago

Jenna and Heidi together have $60. Jenna has $9 more than twice Heidi’s amount. How much money does each have?

Marina86 [1]

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60 Eqn 1

x=2y+9 Eqn 2

Putting value of Eqn 2 in Eqn 1;

$(2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51$

Dividing both sides by 3,

$\frac{3y}{3}=\frac{51}{3}\\y=17\\$

Putting y=17 in Eqn 2

$x=2(17)+9\\x=34+9\\x=43$

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

3 years ago