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2 years ago

Determine whether the following conjecture is true or false. Give a counterexample if the answer is false.

1 answer:

4 0

This conjecture is false, A and C don't have to be complementary angles.

Let Angle A be 100 and Angle B be 80 degrees. They are supplementary (sum of 180).
Let Angle C be 100 and Angle B is still 80 degrees. They are supplementary.

However, Angle A and Angle C are not complementary (sum of 90).

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True or false: randomization allows each member of the population to have an equal probability of being selected for the sample

tia_tia [17]

Answer:

True

Step-by-step explanation:

Simple random sampling chooses at random members of the population. This allows all members an equal probability of being selected for the sample.

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3 years ago

A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever

Akimi4 [234]

Answer:drugs?

Step-by-step explanation:

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2 years ago

QUESTION 1 Evaluate −30 ÷ −6. a 5 b −5 c 6 d −6 QUESTION 2 Evaluate 62 ÷ (3 + 9). a3 b4 c12 d21 QUESTION 3 Danny made a mistake

Mashcka [7]

Answer:

A; ?; Line 3

Step-by-step explanation:

Question 1:

-30 divided by -6 is 5.

The negatives cancel each other out.

And 30 divided by 6 is simply 5.

Question 2:

$62\div(3+9)$

Do the operation inside the parenthesis first:

$62\div12$

Divide. 12 does not go into 62 evenly. 12 times 5 is 60, so the answer is 5 remainder 2:

$62\div12=5\text { R}2$

Or in fractions:

$31/6$

(Was there a typo? From what you've given me, the correct answer is not listed.)

Question 3:

So we have to following steps:

$\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+11(2)\\\text{Line 4: }21+22\\\text{Line 5: }43$

The mistake is in Line 3. Danny cannot just combine 5+6(2) into 11(2). Instead, he should multiply 6(2) and then add. Thus, the correct solution is:

$\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+5+12\\\text{Line 4: }26+12\\\text{Line 5: }38$

3 0

3 years ago

Find an equation of the circle that has center (- 6, 5) and passes through (- 1, 1) .

dangina [55]

Answer:

$(x+6)^2+(y-5)^2=41$

Step-by-step explanation:

The equation of a circle follows the general equation $(x - h)^2 + (y - k)^2 = r^2$

Since the center of the circle is (-6, 5), we progress to the formula equation $(x + 6)^2 + (y- 5)^2 = r^2$

Since this is a circle, the distance between (-6, 5) and (-1, 1) is the radius of the circle.

$r = \sqrt{(-6 + 1)^2 + (5 - 1)^2} = \sqrt{5^2+4^2}=\sqrt{41}\\\\r^2 = 41$

So we can obtain the equation $(x+6)^2+(y-5)^2=41$

5 0

2 years ago

A normal distribution of scores has a standard deviation of 10and a samplemean of 50. Find the probability corresponding to each

serg [7]

Answer:

Step-by-step explanation:

o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).

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2 years ago