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2 years ago

If k, m, and n are all prime numbers, list all factors of k∙m∙n.

Mathematics

1 answer:

kompoz [17]2 years ago

7 0

Answer:

Factors of kmn are 1, k, m, n, km, mn, kn and kmn

Step-by-step explanation:

Given: k, m, and n are prime numbers

To find: factors of k∙m∙n

Solution:

A number is said to be prime if it has exactly two factors: 1 and the number itself

x is said to be a factor of y if x can divide y exactly.

Here,

1 can divide kmn

k can divide kmn

m can divide kmn

n can divide kmn

km can divide kmn

kn can divide kmn

mn can divide kmn

kmn can divide kmn

So, factors of kmn are 1, k, m, n, km, mn, kn and kmn

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b. Find a 99% confidence interval for mean age of ICU patients using the facts that, in the sample, the mean is 57.55 years and

rjkz [21]

Answer:

99% of confidence intervals for mean age of ICU patients

(53.8920 , 61.2079)

Step-by-step explanation:

Explanation:-

Given sample mean $x^{-} = 57.55$

Given standard error is determined by

S.E = $\frac{S.D}{\sqrt{n} }$

Given data standard error = 1.42

99% of confidence intervals for mean is determined by

$(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} } )$

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.05} = 2.576$

$(x^{-} - 2.576 S.E , x^{-} + 2.576 S.E)$

$(57.55 - 2.576X 1.42 , 57.55+ 2.576 X1.42)$

(53.8920 , 61.2079)

Conclusion:-

99% of confidence intervals for mean is determined by

(53.8920 , 61.2079)

5 0

2 years ago

What’s the correct answer

charle [14.2K]

7-4=3

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2 years ago

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Penny and Sheldon are assembling hair clips. Penny can assemble a hair clip in 6 minutes and Sheldon can assemble a hair clip in

creativ13 [48]

The answer would be 18 minutes

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2 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

The building is 61.5 m tall

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

2 years ago

WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINLIEST!!

gizmo_the_mogwai [7]

Answer:

Area = 342 $cm^2$ , Perimeter = 22.79 cm

Step-by-step explanation:

First, divide the shape into 3:

An arc, a square, and a triangle.

Dimensions of shapes:

Arc:

Degree = 40°

Arms = 4 cm

Square:

All sides are 4 cm

Triangle:

base = 3 cm

height = 4 cm

hypotenuse = 5 cm

To get perimeter:

Arc length = $\frac{40}{360} * (2*\pi * (4))$ (4 is the arm length ) = 2.7925 cm

Arc arm = 4 cm

Square sides (only two are outside) = 2 * 4 = 8 cm

Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm

So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm

To get area:

Arc area (the pizza shape) = $\frac{40}{2\pi } * \pi * (4)^{2}$ (4 is the arm length) = 320 $cm^{2}$

Square area = side * side = 4 * 4 = 16 $cm^{2}$

Triangle = (1/2) * base* height = (1/2) * 3 * 4 = 6 $cm^{2}$

So total area is 320 + 16 + 6 = 342 $cm^2$

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3 years ago

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