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serious [3.7K]
2 years ago
13

Graph the line -1 passing through the point (-4,5)​

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
6 0

Answer:

Step-by-step explanation:

If you want to find the equation of line with a given a slope of which goes through the point (-4,5), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

where is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Distribute  

Multiply and to get

Add -1 to both sides to isolate y

Combine like terms and to get the answer

So the equation of the line with a slope of which goes through the point (-4,5) is:

which is now in y=mx = b form where the slope is m=-4/5  and the y-intercept is b=1

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Liono4ka [1.6K]
The normal distribution curve for the problem is shown below

We need to standardise the value X=405.5 by using the formula

z-score= \frac{X-Mean}{Standard Deviation}
z-score= \frac{405.5-402.7}{8.8} =0.32

We now need to find the probability of z=0.32 by reading the z-table

Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:

P(Z\ \textgreater \ z)=1 - P(Z\ \textless \ z)

from  the z-table, the reading P(Z\ \textless \ 0.32) gives 0.6255

hence, 
P(Z\ \textgreater \ 0.32)=1-0.6255=0.3475

The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%

7 0
2 years ago
Graph the line that has a slope of 6 and includes the point (0,4).
faust18 [17]

Answer:

The equation of the line with slope 6 and containing the point (0, 4) will be:

y = 6x+4

The graph of the line y = 6x+4 is attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • The slope m = 6
  • The point (0, 4)

The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

The point (0, 4) indicates that:

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 6 in the slope-intercept form of the line equation

y = mx+b

y = 6x+4

Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:

y = 6x+4

The graph of the line y = 6x+4 is attached below.

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3 years ago
What geometric construction is shown below
AnnyKZ [126]

Answer:

doubling the square Apex

Step-by-step explanation:

5 0
3 years ago
There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of
Anestetic [448]
<h2><u>RATIO</u></h2>

<h3><u>\underline \mathcal{PROBLEM:}</u></h3>

» There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of apples to total fruits? Be sure to write your answer in lowest terms.

<h3>\underline{ \mathcal{ANSWER:}}</h3>
  • \blue{ \bold{4:7}}

— — — — — — — — — —

<h3>\underline{ \mathcal{EXPLANATION:}}</h3>

Based on the problem, there are 8 watermelons and 6 apples in the shopping cart. So,

  • \sf \: Apple =  \green6

  • \sf \: Watermelon = \green 8

  • \sf \: Total \:  Fruits= \green {14 }

Therefore, the ratio of apples to total fruits is 8:14 and its lowest term is 4:7.

_______________∞_______________

3 0
2 years ago
4. Which expression is equivalent to the expression below?
maria [59]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
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