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2 years ago

Which reason justifies statement 2?

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Is b) corresponding angles are congruent.

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Emmanuel sections off a part of the backyard of his house to build the rectangular stone patio for his grill. The length of the

liq [111]

Answer: x + 3feet

Step-by-step explanation:

From the question, Emmanuel sections a part of his house backyard in order to build the rectangular stone patio for his grill. We are told that the length of the base is going to be 3 feet more than the width and the width has been defined as x.

Since the length of the base will be 3 feet more than the width and the width is x. Therefore, the length will be:

Length = x + 3feet

5 0

3 years ago

What is 0.416666667 as a fraction

pogonyaev

It's 416,666,667/1,000,000,000. //// If you said that the 6s keep going and never end, then it would be the decimal form of 5/12 .

8 0

3 years ago

In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 g

KIM [24]

Answer:

$3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%$ probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

All girls from the first group:

20 students, so $N = 20$

10 girls, so $k = 10$

5 students will be selected, so $n = 5$

We want all of them to be girls, so we find P(X = 5).

$P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163$

All girls from the second group:

20 students, so $N = 20$

5 girls, so $k = 5$

5 students will be selected, so $n = 5$

We want all of them to be girls, so we find P(X = 5).

$P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006$

All girls from the third group:

20 students, so $N = 20$

8 girls, so $k = 8$

5 students will be selected, so $n = 5$

We want all of them to be girls, so we find P(X = 5).

$P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036$

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

$P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}$

$3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%$ probability that all the 15 students selected are girls

7 0

3 years ago

An arithmetic sequence has this recursive formula: <br> A1=5<br> An=an-1-4

Olenka [21]

Answer:

A recursive formula designates the starting term, a1, and the nth term of the sequence, an , as an expression containing the previous term (the term before it), an-1.Find a recursive formula. This example is an arithmetic sequence (the same number, 5, is added to each term to get to the next term).

8 0

3 years ago

Which is the best example of natural selection?

Bas_tet [7]

A. Some insects in a population survive temperature changes and pass their traits on to their offspring

6 0

2 years ago