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vodka [1.7K]
3 years ago
9

Fill in the blank with the phrase that makes the proof statement true.

Mathematics
1 answer:
aksik [14]3 years ago
7 0
BC is congruent to DC or BA is congruent to DA, depending on what point marks the intersection point of the two lines.

If this helped please rate, thank, and give brainliest answer!
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The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.9 mg and standard deviation 0.1
Ad libitum [116K]

Answer:

The answer to the question is;

The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.

Step-by-step explanation:

The mean of the distribution = 0.9 mg

The standard deviation of the sample = 0.1 mg

The size of the sample = 100

The mean of he sample = 0.89

The z score for sample mean is given by

Z =\frac{X-\mu}{\sigma/ \sqrt{n} } where

X = Mean of the sample

μ = Mean of the population

σ = Standard deviation of the population

Therefore Z = \frac{0.89-0.90}{0.1/\sqrt{100} } = -1

From the standard probabilities table we have the probability for  a z value of -1.0 = 0.1587

Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.

             

7 0
3 years ago
A jar contains 45 red candies and 60 black candies. Suppose a candy is selected at random. What are the odds against selecting a
uysha [10]

Answer:

3:4.

Step-by-step explanation:

To work this out we need to find the highest multiple of 45 and 60.

15 is the largest number that goes into both of them so what we are going to do now is divide both number by 15.

45 divided by 15 = 3

60 divided by 15 = 4

Therefore the odds of selecting a red candy is 3:4.

Hope that helps. x

7 0
2 years ago
Yara multiplies and divides a certain number by the same
Butoxors [25]

For this case we have to:

x: Represents the unknown number

y: Represents the exponent of base 10

So, considering a system of equations we have:

x * 10 ^ y = 40,000\\\frac {x} {10 ^ y} = 0.000004

From the first equation we have:

10 ^ y = \frac {40,000} {x}

Substituting in the second equation:

\frac {x} {\frac {40,000} {x}} = 0.000004\\\frac {x ^ 2} {40,000} = 0.000004\\x ^ 2 = 40,000 * 0.000004\\x ^ 2 = 0.16\\x = \pm \sqrt {0.16}

We choose the positive value:

x = 0.4

So, the number is 0.4.

So:

10 ^ y = \frac {40,000} {0.4}\\10 ^ y = 100,000\\y = 5

Thus, the exponent is 5.

Answer:

Yara use 0.4 and10 ^ 5

8 0
3 years ago
14. Lara bought gift cards to give as gifts. She bought some $20 movie
lubasha [3.4K]

Answer:

21

Step-by-step explanation:

The x intercept is represented by the coordinate (x,0) on x axis.

So, to find the x intercept ,we need to equate y=0 in the equation 20x+70y=420

=> 20x+ 70*0=420

=> x=420/20 =21.

x intercept is (21,0).

7 0
3 years ago
Read 2 more answers
What is the value of x when -8x - (8x) = -48?
butalik [34]
X=3 you can combine like terms to get -16x= -48 and then divide -48 by -16 to get 3
7 0
3 years ago
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