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7nadin3 [17]
3 years ago
8

Find the slope of a line that passes through the given points. Write your answer below.

Mathematics
1 answer:
12345 [234]3 years ago
4 0
Just use the formula:
slope(m) = \frac{y_2-y_1}{x_2-x_1}

Then, plug in numbers:
m = \frac{1-4}{-2-3} = \frac{-3}{-5} = \frac{3}{5}

And that would be your answer: 3/5 is the slope.
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Marlene rides her bicycle to her friend​ jon's house and returns home by the same route. marlene rides her bike at constant spee
riadik2000 [5.3K]

To solve the problem:

<span>Let f = distance one way distance on level ground</span>

<span>
Let h = distance rode on the hill</span>

<span>
Write a time equation; where Time = distance/speed:</span>

<span>

level time + uphill time + downhill time + level time = 1hr</span>

<span>
</span>

<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>

<span>

Multiply equation by 18 to get rid of the denominators</span>

<span>
</span>

 

2f + 3h + h + 2f = 18


4f + 4h = 18


Simplify by dividing this by 4


<span>f + h = 4.5 miles is took her to get to Jon’s house.</span>

6 0
3 years ago
Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights
Fed [463]

Answer:

a) 615

b) 715

c) 344

Step-by-step explanation:

According to the Question,

  • Given that,  A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams

  • Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.

Z = (x - mean)/standard deviation

Now,

For x = 4171,  Z = (4171 - 3311)/860 = 1  

  • P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.

Next, multiply that by the sample size of 732.

  • Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171  

 

  • For part b, use the same method except x is now 1591.    

Z = (1581 - 3311)/860 = -2    

  • P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.

 

  • For part c, we now need to get two Z scores, one for 3311 and another for 5031.

Z1 = (3311 - 3311)/860 = 0

Z2 = (5031 - 3311)/860= 2  

P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772

  approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.

5 0
2 years ago
The population of Groverdale is
wolverine [178]

Answer: Yes alaina is correct

Step-by-step explanation: first look at the populations

553,000

535,841    

Tittlehook has a 3 in the ten thousands place whilst groverdale has a 5 in the thousands place.

Hope this helps :)

6 0
3 years ago
In the coordinate plane, what is the length of the line segment that connects points at
DaniilM [7]
Draw up a right triangle to connect these two points with the line itself being the hypotenuse. Then use pythagorean theorem to solve for the hypotenuse
3 0
3 years ago
Read 2 more answers
Suppose that f(x,y) is a smooth function and that its partial derivatives have the values, fx(−7,−2)=−1 and fy(−7,−2)=3. Given t
yarga [219]

Answer:

f(-6,-1) =0

Step-by-step explanation:

We are given the following in the question:

f_x(-7,-2)=-1\\f_y(-7,-2)=3\\f(-7,-2)=-2

We have to estimate the value of f(-6,-1)

By Taylor approximation we have:

f(x,y) =f(-7,-2)+ f_x(-7,-2)(x+7) + f_y(-7,-2)(y+2)\\f(x,y) = -2 + (-1)(x+7) + 3(y+2)\\f(x,y) = -2-x-7+3y+6\\f(x,y) = -x+3y-3

Now, putting values, we get,

f(x,y) = -x+3y-3\\f(-6,-1) = -(-6)+3(-1)-3\\f(-6,-1) =0

is the required value.

5 0
3 years ago
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