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schepotkina [342]
3 years ago
13

A line parallel to -6x + 2y = 8 would have a slope of _____.

Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0

Answer:

Slope of 3

Step-by-step explanation:

-6x + 2y = 8

Add 6x

2y = 6x + 8

divide by 2

y = 3x + 4

Slope = 3

Parallel lines have the same slope

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malfutka [58]

Answer:

B': (-12,15)

Step-by-step explanation:

7 0
3 years ago
According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 71 million wildif
suter [353]

Answer:

The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.

Step-by-step explanation:

We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.

If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.

The standard deviation of the sample is equal to:

\sigma_s=\sqrt{\frac{\pi(1-\pi)}{N}}=\sqrt{\frac{0.8*0.2}{500}}=0.018

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

z=\frac{p-\pi}{\sigma}=\frac{0.79-0.80}{0.018} =\frac{-0.01}{0.018} = -0.55\\\\z=\frac{p-\pi}{\sigma}=\frac{0.81-0.80}{0.018} =\frac{0.01}{0.018} = 0.55

Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

P(0.79

3 0
3 years ago
Becky is making 1/2 batch of chocolate chip cookies. The recipe calls for cup 7/8 chocolate chips. How much chocolate does Becky
nignag [31]

Answer:

3/8 chocolate chips

Step-by-step explanation:

1/2 needs to have the same denominator as 7/8

2 * 4 = 8 (denominator) but what you do for the denominator has to apply for the numerator.

1 * 4 = 4 (numerator)

so now you successfully converted 1/2 to 4/8.

Now you solve, total - items you have = how much you need

                           7/8 - 4/8 = 3/8

5 0
3 years ago
Read 2 more answers
What is the area of the following composite figure? Round your answer to the nearest hundredth.
baherus [9]

Answer:

139.79 yd²

Step-by-step explanation:

area of rectangle = l·w

A = 12·9 = 108

area of semi-circle = 1/2πr²

A = 1/2·(3.14)·(9/2)²

A = 31.79

area of composite shape = 108 + 31.79

A = 139.79

4 0
3 years ago
To describe a sequence of transformations that maps triangle ABC onto triangle a"b"c", a student starts with a reflection over t
Paha777 [63]

i dont quite get the question but...

i guess this is how it is.

Take the mirror image of∆ABC Through the a line through the point y=3.

The new ∆ABC would have point C=(4,2)

B=(3,-6) A=(1,-3)

Now shifting the ∆ABC one unit (<em>i.e. 2 acc. to the graph as scale is 1 unit =2</em>) towards right ( or <em>adding 2 to the x coordinates of ∆ABC)</em>

We get the Coordinates of triangle ABC as A=(3,-3) B=(5,-6) C=(6,2).

This coordinate is the same coordinates of ∆A"B"C".

Hope it helps...

Regards;

Leukonov/Olegion.

8 0
3 years ago
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