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Sholpan [36]
3 years ago
8

Where do I drop the SUM on the number line? using a number line, drag and drop the word SUM to the correct value on the number l

ine 3/4 + 1 1/4 ​

Mathematics
1 answer:
VikaD [51]3 years ago
6 0

We need to add fractions 3/4 + 1 1/4 ​ using number line.

First fraction is 3/4.

Please see, we have four small sections from 0 to 1.

3/4 represents three fourth. That is there part of four parts.

So, please plot a point at 3rd point from 0 between 0 and 1.

Then we need to add 1 1/4.

Let us see the fracion part 1/4.

1/4 represents one fourth part.

So, please move one more section from the point we plotted in above step.

We would be on exactly number 1 on the number line after this second step.

Now, we had 1 in front of the mixed fracion 1 1/4.

So, we need to move one number ( complete number) to the right of 1.

We will get on number 2 on number line.

So, the final answer for 3/4 + 1 1/4 is 2 using number line we drew.

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In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre
RideAnS [48]

Answer: B. 461 acres

Step-by-step explanation:

Given : In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn.

i.e. \mu=185.2\ \ , \ \sigma=23.5

Let x denotes the amount of corn yield.

Now, the probability that the amount of corn yield is more than 190 bushels of corn per acre.

P(x>190)=P(\dfrac{x-\mu}{\sigma}>\dfrac{190-185.2}{23.5})

[Formula : z=\dfrac{x-\mu}{\sigma}]

=P(z>0.2043)=1-P(z  [∵ P(Z>z)=1-P(Z<z)]

1-0.5809405   [using z-value calculator or table]

=0.4190595

Now, If a study included 1100 acres then the expected number to yield more than 190 bushels of corn per acre :-

0.4190595\times1100=460.96545\approx461\text{ acres}

hence, the correct answer is B. 461 acres .

8 0
3 years ago
Find the equation of the line that has a slope of 14 and passes through the point (-3,12).
Roman55 [17]

Answer:

The answer is b=54

Step-by-step explanation:

y=mx+b

12=14(-3)+b

12=-42+b

54=b

hope that helps

8 0
3 years ago
AD=3, BD=5, AE=4. Find CE
EastWind [94]

Answer:

6.6

Step-by-step explanation:

Triangles ADE and ABC are similar.

Therefore,

AD/AB=AE/AC

3/8=4/AC

3AC=32

AC=10.6(3 s.f)

CE=10.6-4=6.6

5 0
2 years ago
What Made Gandhi's Nonviolent Movement Work?
nekit [7.7K]

Answer:

Gandhi's nonviolent movement worked because Gandhi wanted to be treated equally like his protesters.  Gandhi's nonviolence worked because when he found out about this he requested that he should be sentenced even longer than the protesters.

8 0
3 years ago
Vector v is shown in the graph.
Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

===========================================================

Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

6 0
2 years ago
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