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2 years ago

11

Please help it’s due soon!

1 answer:

GarryVolchara [31]2 years ago

6 0

Answer:

45

Step-by-step explanation:

40/72=x/x+36

40x+1440=72x

32x=1440

x=45

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2+6i/2-4i = a + bi What is the value of a? What is the value of b?

Talja [164]

$\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1$

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2 years ago

Graph y=-x+4 and -4x+2y=2

kvasek [131]

Answer:

The one on the left answer the 1st and the one on the right answers the 2nd

Step-by-step explanation:

3 0

2 years ago

4. In a sample of 1000 people, 130 can wiggle their ears. Two unrelated people are

Elina [12.6K]

Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.

The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.

Hypergeometric distribution:

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

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

The parameters are:

x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.

In this problem:

1000 people means that $N = 1000$
130 can wiggle their ears, thus $k = 130$
Two are selected, thus $n = 2$ .

The probability that neither can wiggle his or her ears is P(X = 0), thus:

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

$P(X = x) = h(0,1000,2,130) = \frac{C_{130,0}C_{870,2}}{C_{1000,2}} = 0.7568$

0.7568 = 75.68% probability that neither can wiggle his or her ears.

A similar problem is given at brainly.com/question/24826394

5 0

2 years ago

Write 41.139 as a mixed number.

AysviL [449]

Answer:

41 139/1000

Step-by-step explanation:

41.139

41 139/1000

8 0

2 years ago

Read 2 more answers

A runner completed a 26.2-mile marathon in 210 minutes. a. Estimate the unit rate, in miles per minute. Round your answer to the

ivanzaharov [21]

Answer:

Unit rate by which the runner completed the marathon is 0.13 miles per minute.

Step-by-step explanation:

A runner competed a marathon of 26.2 miles in 210 minutes.

we can get unit rate by unitary method.

∵ In 210 minutes a runner completes the distance = 26.2 miles

∴ In 1 minute runner will complete the distance = $\frac{26.2}{210}$

= 0.125 miles per minute

≈ 0.13 miles per minute

Therefore, unit rate by which the runner completed the marathon is 0.13 miles per minute.

6 0

2 years ago