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emmasim [6.3K]
3 years ago
7

A survey of us adults found that 11% think that congress is a good reflection of american views. you rnadomly select 35 us adult

s and ask them whether they think tha tocngress is a good reflection of american views.
Find the probability that the number who say yes is (a) exactly 8, (b) at least 10, and (c) less than 5, and (d) identify any unusual events. Explain.
Mathematics
1 answer:
irina [24]3 years ago
8 0

Answer:

C) Less than 5

Step-by-step explanation:

First you find 11% of 35

35 x .11 = 3.85

3.85<5

Therefor- it's less than five. No idea if that was the question but uh- that's what I understood from it. TwT

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A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.
Hunter-Best [27]

The solution to this question is 39.0625.

This is because you will need to multiply the width by height. As this is in square feet it will be irrespective of which two sides we choose.

The calculation that will need to be done is the following :

6.25ft X 6.25ft which will equal 39.0625.

6.25 has three significant digits so rounding 39.0625 off to three significant digits is 39.1 square feet

7 0
2 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex
velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y  , 8 z>

Δf = λ Δh

So

< 8 ,8 , 4> = < 8  λ x ,8 λ y  , 8 λ z>

8 = 8  λ x                     -------------1

8 = 8 λ y                      ----  ------2

4 = 8 λ z                    ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36

\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36

So the value of λ is

\lambda =\pm \dfrac{1}{2}

When λ = 1/2

x = 1 / λ   , y=1 / λ   ,  z= 1 /2 λ

x= 2 , y = 2 , z=1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ   , y=1 / λ   ,  z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

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