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malfutka [58]
3 years ago
6

Someone please help me with this!!!!!

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

x-axis denotes time in minutes and y-axis denotes distance (in blocks) away from the house.

He left home at zero time, so he started at origin (0,0).

He went to store which is at 6 blocks away from home, he walked at a speed of 3 blocks every 4 minutes. So he walked for 8 minutes to cover 6 blocks distance from home. It means the store is at (8,6). So its graph would be a straight line going from (0,0) to (8,6).

Then he stopped and went into the store for 5 minutes. He stayed at store from point (8,6) to (13,6). Its graph would be horizontal line from (8,6) to (13,6).

Then he went back to home at speed of 2 blocks every 3 minutes, so he walked for 9 minutes to cover 6 blocks distance back to home. It means he returned home at (22,0). So its graph would be a straight line going from (13,6) to (22,0).

The graph is attached herewith the solution.

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Triangle ACB is the pre-image and triangle DFE is the image. What is the scale factor of the dilation?
Reika [66]

Answer:

½

Step-by-step explanation:

the scale factor of dilation = 6/12 = ½

7 0
3 years ago
Find the y-intercept of the line: -4x - 2y = 16
Georgia [21]
The y-intercept is (0, -8) 
if you set the equation to slope intercept format you get

y=-2x-8
3 0
3 years ago
Find the slope of the line that goes through the given points.<br> (0,8) and (- 4,0)
Ronch [10]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (- 4, 0)

m = \frac{0-8}{-4-0} = \frac{-8}{-4} = 2

6 0
2 years ago
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Find the arc length of the partial circle. <br>length is 1.<br>**See attached photo**<br>​
KatRina [158]

Arc length of the quarter circle is 1.57 units.

Solution:

Radius of the quarter circle = 1

Center angle (θ) = 90°

To find the arc length of the quarter circle:

$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)

                 $=2 \times 3.14  \times 1\left(\frac{90^\circ}{360^\circ}\right)

                $=2 \times 3.14  \times 1\left(\frac{1}{4}\right)

Arc length = 1.57 units

Arc length of the quarter circle is 1.57 units.

5 0
3 years ago
Hey (; I'm taking this rigorous AP Stat course and I've mastered Binomial Sampling but this Geometric Sampling just has me stump
chubhunter [2.5K]

Answer:

1) It is geometric

a) In each trial you can obtain 11 or obtain something else (and fail)

b) Throw 2 dices and watch if the result is 11 or not

c) The probability of success is 1/18

2) It is not geometric, but binomal.

Step-by-step explanation:

1) This is effectively geometric. When you see the sum of 2 dices, you can separate the result in two different outcomes: when the sum is 11 and when the sum is different from 11.

A trial is constituted bu throwing 2 dices and watching if the sum of the dices is 11 or not.

In order to get 11 you need one 5 in one dice and 1 six in another. As a consecuence, you have 2 favourable outcomes (a 5 in the first dice and a 6 in the second one or the other way around). The total amount of outcomes is 6² = 36, and all of them have equal probability. This means that the probability of success is 2/36 = 1/18.

2) This is not geometric distribution. The geometric distribution meassures how many tries do you need for one success. The amount of success in 10 trias follows a binomial distribution.

4 0
3 years ago
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