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bonufazy [111]
3 years ago
12

What will be the equation of a line that is

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

y=x+4

Step-by-step explanation:

Solve with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent. Plug in the coordinates we have into the formula, along with the slope from the original equation (-1). To check, we can plug the coordinates back into the equation.

y-(1)=-1(x+3)

y-1=x+3

y=x+4

Check:

(1)=(-3)+4

1=1

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Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
vova2212 [387]

Answer:

b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

6 0
3 years ago
Find the area of the shape shown<br> below.
steposvetlana [31]

Answer:

The area of the figure is 28 units².

Step-by-step explanation:

Find the area of the full rectangle, ignoring the triangle.

a = lw \\ a = 4 \times 8 = 32

Then, find the area of the triangle:

a =  \frac{bh}{2}  \\ a =  \frac{2 \times 4}{2}  \\ a = 4

Finally, subtract:

32 - 4 = 28

7 0
3 years ago
Find the values for c and d
baherus [9]

Answer:

c=-5

d=1

Step-by-step explanation:

(cy^2)(4y^d)=-20y^3

I'm going to reorder the left-hand side.  Multiplication is commutative.

(4c)(y^2y^d)=-20y^3

Since the bases are the same in y^2y^d and the operation is multiplication, I'm going to add the exponents giving me:

4cy^{2+d}=-20y^3

So this implies we have two equations to solve:

4c=-20 and 2+d=3

So the first equation can be solved by dividing both sides by 4 giving you c=-5.

The second equation can be solved by subtracting 2 on both sides giving you d=1.

6 0
3 years ago
10th grade geometry ASAP PLZ HELP
iogann1982 [59]
Angles in a line = 180
180-165 = 15 degrees

15 + 45 + ? = 180
60 + ? = 180
? = 120
7 0
2 years ago
Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in a
Jobisdone [24]
12 tulips
16 daffodils
7 0
3 years ago
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