A random sample of 362 married couples found that 286 had two or more personality preferences in common. In another random sample of 556 married couples, it was found that only 32 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.
A) Find a 95% confidence interval for p1 and p2.
B) Examine the confidence interval in part (a) and explain what it means in the context of this problem. Does the confidence interval contain all positive, a negative or both positive and negative numbers? What does this tell you about the proportion of married couples with three personality preferences in common compared with the proportion of couples with two preferences in common (at the 95% confidence level)?
1) Because the interval contains only positive numbers, we can say that a higher proportion of married couples have three personality preferences in common.
2) Because the interval contains both positive and negative numbers, we can not say that a higher proportion of married couples have three personality preferences in common.
3) We can not make any conclusions using this confidence interval.
4) Because the interval contains only negative numbers, we can say that a higher proportion of married couples have two personality preferences in common.

Step-by-step explanation:

i and iii are correct. you are supposed to substitute and find the correct value

Answer:

1,2 = 1,negative2

3,6 = 3,negative 6

-1,2 = negative 1, negative 2

-2,-2 = negative2, 2

Step-by-step explanation:

Sorry all i could do was reflect the coordinates across the x-axis.

The figure reflected along x-axis will have vertices A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).

When we reflect a figure along the x-axis the coordinate point of y changes its sign, (x, y) becomes (x, - y).

Think of holding the x-axis with two fingers and rotating it.

Given, we reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)

across the x-axis.

∴ The rotated coordinate will be A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).

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Answer:

a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

b) The rate of increase after one day is of 0.0915.

Step-by-step explanation:

The brightness after t days is given by:

[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]

A) Find the rate of change of the brightness after t days.

This is [tex]B^{\prime}(t)[/tex]

The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]

So, in this case, we have that:

[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

B) Find the rate of increase after one day.

This is [tex]B^{\prime}(1)[/tex]. So

[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]

The rate of increase after one day is of 0.0915.

Answer:

Step-by-step explanation:

If you are looking for an equation then it is:

4x + 3y = 1787 (Where x is the reserved seat tickets and y is general admission)

and $4x + $3y = $5792

Answer:

cos37=10/y

0.8=10/y

y=12.5

y²=10²+x²

x=12.5²-10²

56.25

Step-by-step explanation:

Answer:

4/8 = 9/n the first fraction is the height of the small shape to the height of the big shape and the second fraction is the bottom of the small shape to the bottom of the big shape (n)

Step-by-step explanation:

Answer:

distributive property

Step-by-step explanation:

2(a+5)

2 is being distributed

Answer:

wheres the graph?

Step-by-step explanation:

Answer:

The last graph on edge 2021

Step-by-step explanation:

Answer:

Irrational!

Hope that helps!

Step-by-step explanation:

Answer: It will be (2,-5) and (6,3) because they are one the slope line

Step-by-step explanation:

Hope is Helped

Answer:

9

Step-by-step explanation:

The triangle provided is an equilateral one, which means that the length of all sides is equal.

Let's start by taking two and finding x.

8x+1 = 3x+6 (Subtract 3x from both sides)

5x+1 = 6 (Subtract 1 from both sides)

5x = 5 (Divide 5 from both sides)

x = 1

Now we substitute x in all the equations to find the length.

8(1) + 1 = 9

3(1) + 6 = 9

4(1) + 5 = 9

Length = 9

Answer:

70°

Step-by-step explanation:

<GER and IGE< are supplementary angles which means that their sum is equal to 180°

180 - 130 = 70°

Answer:

Step-by-step explanation:

Answer:

3 to the 7th power (7 is  the exponent)

Step-by-step explanation:

have a wonderful

Answer:

Step-by-step explanation:

2x^3y and 2yx are not like terms since x^3 can't be added to x since it's not x^3 but x^2.

Answer:

11/24

Step-by-step explanation:

24 students

13 of them are men

24 - 13 to find the remaining students which are women

24 - 13 = 11

so 11/24

Answer:

Work= force(F) * distance (s)

weight is a force and so

F=weight=mass *acceleration due to gravity

=1000*10=10000N

S=?

To find s,

F= ma

a=F/m=10000/10

a=10m/s²

Using Newton's third equation of motion

v²= u²+2as

30²= 20²+2*10*s

900–400=20s

500=20s

s=500/20= 25m

Work =F*s

Work=10000*25

Work= 250000J or 250KJ

Step-by-step explanation:

Answer:

-3u-2v

Step-by-step explanation:

u-(3v)-4u+(-5v)

u-4u-3v-5v

-3u-2v

Answer:

196

area of square = a^2

=14^2

=196

Answer:

area of square=length^2

as length is 14m

so area of square plot =14^2=196m^2

final ans/area of plot=196m^2

Answer:

m=−bd+t

Step-by-step explanation:

t=bd+m

flip equation

bd+m=t

Step 2: Add -bd to both sides.

bd+m+−bd=t+−bd

m=−bd+t

On solving for M, we get -  

M = t - bd

We have the following expression -

t = bd + M.

We have to solve for ' M '.

On solving, we get -

nx + a = [tex]$\pi[/tex]

x =  [tex]$\frac{\pi -a}{n}[/tex]

According to the question, we have -

t = bd + M

t - bd = M

M = t - bd

Hence, on solving for M, we get -  

M = t - bd

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Answer:

20

Step-by-step explanation:

you just divid the number of points earned (14), by the percent earned (70). This gives you the total becuase you would divid 14 by the total to get 70.

Answer:

yes

Step-by-step explanation:

yes

9514 1404 393

Answer:

  1.7 degrees is warmer than -3.4 degrees

Step-by-step explanation:

You can find these two numbers on a number line. Warmer (and greater) is to the right.

Answer:

5

6

÷  

1

6

=  

5

6

×  

6

1

=  

5 × 6

6 × 1

=  

30

6

=  

30 ÷ 6

6 ÷ 6

=  5

the awnser would be 5

Step-by-step explanation:

Answer:

5/6 x 6/1=30/6=5 The answer is 5

Step-by-step explanation:

Mark brainliest please

Answer:

D.) 4x + y

Step-by-step explanation:

3x + x + y

Add  3 x  and  x .

4 x  +  y

Answer:

somehow i got 0.7345

Step-by-step explanation:

Answer:

73,440

Step-by-step explanation:

Answer:

1,028,160

Step-by-step explanation:

Answer:

Angle B and Angle D are both 101 degrees

Step-by-step explanation:

Consecutive Angles in a parallelogram are supplementary (add up to 180 degrees).

Given that fact, we can deduce the measure of angle B.

180-79=101.

Angle D has the same setup since Angle D and C are consecutive along with Angle C and B.

180-79=101.

Therefore, both Angle B and D are 101 degrees.