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2 years ago

2 COLLUM PROOFS 1 question

Mathematics

1 answer:

galina1969 [7]2 years ago

7 0

Answer:

1. <AOB and <XOZ are vert. <'s 1. Given

m<AOB = 80 m<XOZ = 6x+5

2. m<AOB = m<XOZ 2. Vertical <'s are congruent

3. 80 = 6x+5 3. Substitution

4. 75 = 6x 4. Subtraction Property of equality

5. 12.5 = x 5. Division Property of equality

Step-by-step explanation:

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What is the slope of the graph?

MArishka [77]

-1/2

(2,-5) (4,-6) =-6+5/4-2=
-1/2

7 0

2 years ago

The weight of an organ in adult males has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 25 gr

vampirchik [111]

Answer:

(a) between 300 grams and 350 grams (b) 95% (c) 5% (d) 83.85%

Step-by-step explanation:

We have that $\mu = 325$ grams and $\sigma = 25$ grams. Let's compute the following figures to use the empirical rule

$\mu + \sigma = 325 + 25 = 350$

$\mu + 2\sigma = 325 + 2(25) = 375$

$\mu + 3\sigma = 325 + 3(25) = 400$

$\mu - \sigma = 325 - 25 = 300$

$\mu - 2\sigma = 325 - 2(25) = 275$

$\mu - 3\sigma = 325 - 3(25) = 250$

using the image below that was made it with help of the empirical rule we find the next figures

(a) About 68% of organs will be between 300 grams and 350 grams

(b) 95% of organs weights between 275 grams and 375 grams

(d) 83.85% of organs weights between 300 grams and 400 grams

5 0

2 years ago

A submarine cuts through the water at an elevation of 203 meters under the sea. The sub rises, and the elevation changes by 4.3

maw [93]

The answer is -76.1 meters.

The submarine elevation before rising is -203 meters (it is negative because it is under the sea level which has 0 elevation): d₁ = -203 m
After the first rising, it moved 64.5 m: l₁ = 4.3 · 15 = 64.5 m
After the second rising, it moved 62.4 m: l₂ = 5.2 · 12 = 62.4 m

So, to calculate the elevation of the submarine after rising (d₂), we will add (because it is not going deeper, it rises toward the elevation of 0) two movements to the elevation before rising:
d₂ = d₁ - (l₁ + l₂) = -203 + (64.5 + 62.4) = -203 + 126.9 = -203 + 126.9 = -76.1.

5 0

2 years ago

NEED HELP WITH THESE QUESTIONS

amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

$\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =$

Applying double C we have:

$\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =$

By definition of multiplication of powers of the same base we have to place the same base and add the exponents: $\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =$