What is 8.981 times 1.981

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].

Item a:

The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].

The sample size is n for which M = 0.03, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]

[tex]n = 53.1[/tex]

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence [tex]\pi = 0.05[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]

[tex]n = 751.7[/tex]

Rounding up, a sample of 752 should be taken.

A similar problem is given at https://brainly.com/question/25694087

Answer:

Step-by-step explanation:

win

There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.

There are 4 suits so the number of face cards is 3*4 =  12

There is 1 ace / suit

There are 4 suits so the number of aces is 1 * 4 = 4

The gain from the face cards = 12 * 13 = 156

The gain from the aces = 4 * 3 =               12

Total gain = 168

Losses

Any other card costs you $5

How many cards is that? 52 - 16 = 36

Each one costs 5 dollars

Total loss = 5 * 36 = 180

So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.

Answer: a) 15000 b) OMR 192,000

Answer:

Area = πr²

Circumference = 2πr

You can use pie as both 22/7 Or 3.14

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

Its definitely D  

Step-by-step explanation:

Your welcome ‍♀️

Answer:

34

Step-by-step explanation:

i think

Answer:

If a=2, b=3, c=4,

3a²bc = 3(2)²(3)(4)

          = 3×4×3×4

          = 12²

          = 144

Answer:

the answer is 144

Step-by-step explanation:

3a²bc

=3×2×2×3×4

=3×4×12

=12×12

=144

Answer:

Step-by-step explanation:

x=9

Answer:

you would need three wholes because each whole would represent a loaf of pumpkin bread

The equation of the circular orbit and the parabolic path of the comet are

given by the center, diameter, vertex, and directrix.

Part A: The equation of the planet's orbit is; x² + y² = 50²

Part B: The equation of the comet's orbit is; [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: The planet's orbit and the comet's path do not intersect.

Reasons:

Part A: The center of the orbit = The origin (0, 0)

The diameter of the orbit = 100

Therefore;

[tex]Radius \ of \ orbit = \dfrac{100}{2} = 50[/tex]

The radius of the planet's orbit, r = 50

The equation of a circle with center (h, k) is; (x - h)² + (y - k)² = r²

Therefore, the equation of the circle is (x - 0)² + (y - 0)² = r²

Which gives;

x² + y² = 50²

Part B: The directrix of the parabolic path is x = 70

The vertex = (60, 0)

Therefore, -p = 70

[tex]The \ equation \ is \ x = \dfrac{1}{4\cdot p} \cdot (y - k)^2 + h[/tex]

Which gives;

[tex]The \ equation \ is \ x = \dfrac{1}{4\times (-70)} \times (y - 0)^2 + 60 = -\dfrac{y^2}{280} + 60[/tex]

[tex]x = \mathbf{ -\dfrac{y^2}{280} + 60}[/tex]

The equation of the comet's path in standard form is [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: At the point where the path intersect, we have;

[tex]x^2 = \left( -\dfrac{y^2}{280} + 60 \right)^2[/tex]

Therefore;

[tex]\mathbf{\left( -\dfrac{y^2}{280} + 60 \right)^2} = 50^2 - y^2[/tex]

Let y² = a, we get;

[tex]\left( -\dfrac{a}{280} + 60 \right)^2 = 50^2 -a[/tex]

a ≈ -2015.693 and a ≈ -42784.31

y ≈ √(-2015.693) or y ≈ √-42784.31) (imaginary numbers)

The planet's orbit does not intersect the path of the comet.

Learn more here:

https://brainly.com/question/20743199

Answer:

D.12

Step-by-step explanation:

College brother told me its 12 which is D.

Answer:x=1

Step-by-step explanation:

Answer:

Squaring

Step-by-step explanation:

Answer:

don't know don't know don't know don't know don't know don't know don't know

Step-by-step explanation:

don't know don't know don't know don't know don't know don't know don't know don't

A reflection over y = x, the coordinates reverse: (x,y) becomes (y,x)

Using point A which is located at (5,2) reflection y = x A' would become (2,5)

On the graph shown the location of A' is (2,5) so the answer is

4. a reflection over the line y = x

Answer:

339,006

Step-by-step explanation: i think

Answer:

300,000 + 30,000 + 9,000 + 6

Step-by-step explanation:

hope this helps. . . <3

good luck!       UwU

Answer:

Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)

Slope = 1

Y-intercept = -6

Step-by-step explanation:

Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.

To find slope, we will do y2 - y1 over x2 - x1.

This is how coordinates are written btw (x,y)

So we will do:

-2 - (-9) = -2 + 9 = 7

4 - (-3) = 4 + 3 = 7

Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)

Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

We'll use point (4,-2) for this:

y + 2 = 1 (x - 4)

Now we solve:

Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.

Hope this helps :)

The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:

1. Given that 3 cakes takes 6 hours to bake, then:

1 cake = [tex]\frac{6}{3}[/tex]

           = 2 hours

So that;

the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]

                                    = 6

The number of cake to be baked in 12 hours is 6.

2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]

                                 = $7.5 pr hour

Thus Ava's rate of pay is $7.5 per hour.

3. It took 5 hours to mow 6 yards. Thus;

To mow 1 yard = [tex]\frac{5}{6}[/tex] hours

The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]

                                                = 20 x [tex]\frac{6}{5}[/tex]

                                                = 24

The number of yards to be mowed in 20 hours is 24.

4. Given that 10 bags of rice cost $12, then;

1 bag = [tex]\frac{12}{10}[/tex]

         = 1.2

1 bag = $1.2

The cost of a bag of rice is $1.2.

5. Rate = 30 miles per gallon

The number of gallons required = [tex]\frac{360}{30}[/tex]

                                        = 12

Thus 12 gallons would be required by the car to travel 360 miles.

6. Rate = [tex]\frac{75}{3}[/tex]

            = 25

Rate = 25 words per minute

The typing speed is 25 words per minute.

For more on rate, check: https://brainly.com/question/119866

$60

Step-by-step explanation:

The unit rate can be determined by dividing $24 by 8 attendees to get

[tex]\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}[/tex]

so when 20 people are attending the graduation picnic, his total cost is going to be

[tex]20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60[/tex]

Answer:

Jill plz tell if i am right

Step-by-step explanation:

give me schoology website

Answer:

GCF is 6

Step-by-step explanation:

42 :

2 | 42

3 | 21

7 | 7

  | 1

; 42 = 2 x 3 x 7

96 :

2 | 48

2 | 24

2 | 12

2 | 6

3 | 3

  | 1

; 96 = 2 x 2 x 2 x 2 x 2 x 3

here, common factors are 2 x 3 = 6

Hence, the GCF of 42 and 96 is 6.

Answer:

y = -2x + 1

Step-by-step explanation:

Substitute  the slope and the given point into y = mx + b and solve for "b".

y = mx + b

7 = -2(-3) + b

7 = 6 + b

1 = b       the y-intercept is 1

The equation of the line is y = -2x + 1

Answer:

A. 26

Step-by-step explanation:

substitute the number in for the variables (letters).

[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]

Answer:

will i need a picture but its probably 10 count by 5s

Step-by-step explanation:

Answer:

250 raspberries

Step-by-step explanation:

So if 100 raspberries weigh 40 grams, each raspberry weighs 40/100 grams, which is 4/10 of a gram. so, you need to do 100/ 4/10=250

Answer:

5.3 but the three is repeated

Step-by-step explanation:

Answer:

[tex]10 \frac{2}{1} \div 2 \frac{1}{4 } = \frac{48}{9} [/tex]

Penjelasan

[tex]10 \frac{2}{1} = \frac{12}{1} [/tex]

[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]

[tex] \frac{12}{1} \div \frac{9}{4} = \frac{12}{1} \times \frac{4}{9} = \frac{48}{9} [/tex]

Then the answer is 48/9

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[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]

By converse of isosceles triangle theorem:

5x - 5 = 10x - 32

add 32 and -5x at both sides

27 = 5x (divide 5 both sides)

x = 5.4

5(5.4) - 5 = 27 - 5 = 22 inches

22 + 22 + 14 = 58 inches

Answer:

9 quarts

Step-by-step explanation:

If you plug 7 as x into:

(2x+45)

then you get

(2(7)+45)

(14+45)

(59)

Answer:

  D, A, B

Step-by-step explanation:

The sign of the leading coefficient always tells you the end behavior on the right: positive = rises; negative = falls.

The degree of the polynomial tells you how the left- and right-end behaviors compare: even = they are the same; odd = they are opposites.

__

A) negative leading coefficient, even degree:

__

B) positive leading coefficient, odd degree:

__

C) negative leading coefficient, odd degree