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Julli [10]
3 years ago
6

Use the distributive property to write an expression equivalent to 5 times(3 plus 4)

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0
5x(3+4) = (5x3)+(5x4)
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A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
juin [17]

Answer:

A. PR = 80.6 yd

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

PR = \sqrt{(80 - 10)^2 + (10 - 50)^2}

PR = \sqrt{(70)^2 + (-40)^2}

PR = \sqrt{4,900 + 1,600}

PR = \sqrt{6,500}

PR = 80.6 yd (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

7 0
2 years ago
Can you the nearest hundredth to 1.2983?
ozzi
I think so it’s 1.30
3 0
2 years ago
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Rotations. Please help me
densk [106]

See the attached picture.

8 0
3 years ago
The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest
allsm [11]

9514 1404 393

Answer:

  smaller triangle area = 73 1/3 ft^2

Step-by-step explanation:

The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...

  (165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2

3 0
2 years ago
The owners of an industrial plant want to determine which of two types of fuel (gas or electricity) will produce more useful ene
madreJ [45]

Answer:

d. H0: (\mu_e - \mu_g) = 0 vs. Ha: (\mu_e - \mu_g) \neq 0

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  

On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.  

Null hypothesis :\mu_e = \mu_g

Alternative hypothesis: \mu_e \neq \mu_g

Or equivalently:

Null hypothesis :\mu_e - \mu_g = 0

Alternative hypothesis: \mu_e - \mu_g \neq 0

Other important thing is that on the alternative hypothesis we never can have the symbol equal.  

So on this case the best options is:

d. H0: (\mu_e - \mu_g) = 0 vs. Ha: (\mu_e - \mu_g) \neq 0

7 0
3 years ago
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