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2 years ago

Let p be the greatest prime factor of 9991. The sum of the digits of p is?

Mathematics

1 answer:

Dovator [93]2 years ago

5 0

Answer:

Step-by-step explanation:

9991 = 97×103

The greatest prime factor of 9991 is 103. The sum of digits of 103 is 1+0+3 = 4.

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What is the length of the diagonal of a rectangle whose width is 100 centimeters and whose length is 180 centimeters. ( round th

Aloiza [94]

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2 years ago

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Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i

steposvetlana [31]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

Explanation:-

Step(i):-

Given Z₁ = 9 - 9 i and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A = Z₁ = x₁ +i y₁ = 9 - 9 i and

B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

(x₂, y₂) = (10, -9)

Step(ii):-

The distance between the two points are

A B = $\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }$

A B = $\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }$

AB = $\sqrt{(9)^{2} +(-9+9)^{2} }$

AB = √81 = 9

Conclusion:-

The distance between the two given complex numbers = 9

3 0

2 years ago

A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm.

LenaWriter [7]

Answer:

78.04 square cm

Step-by-step explanation:

Area of shaded region = area of circle - Area of rectangle

$= \pi \: {r}^{2} - l \times w \\ = 3.14 \times {6}^{2} - 7 \times 5 \\ = 3.14 \times 36 - 35 \\ = 113.04 - 35 \\ = 78.04 \: {cm}^{2}$

3 0

2 years ago

The company Drug Test Success provides a "1-Panel-THC" test for marihuana usage. Among 300 tested subjects, results from 27 subj

Sindrei [870]

Answer:

There is evidence for the claim that less than 10% of the test results are wrong

Step-by-step explanation:

Given that the company Drug Test Success provides a "1-Panel-THC" test for marihuana usage.

Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.)

Sample proportion = $\frac{27}{300} \\=0.09$

H0: p = 0.10

Ha: p <0.10

(left tailed test)

p difference = 0.09-0.10 = -0.01

Std error = $\sqrt{0.1*0.9/300} \\=0.005196$

z statistic = -1.9245

p value = 0.027

Since p <0.05 we reject H0

There is evidence for the claim that less than 10% of the test results are wrong

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2 years ago

19. Determine the midpoint of the line with end points (0,0) and (2,2).

Anika [276]

Answer:

midpoint m= (x1 +x2 , y1 + y2)

2. 2

Step-by-step explanation:

M =(0+2. , 0+2)

2. 2

M=(1,1)

8 0

2 years ago