The critical value used in a 95% confidence interval for population proportion is

Answer:

30*100/70= 42.85% chances that you will draw a Etruscan coin and same way 42.85-100= 57%

Answer:

3/23

Step-by-step explanation:

Probability (Greek) :

Answer:

Part A

To convert degrees to radians, multiply the given value by π/180°.

[tex]\begin{aligned}\implies 20^{\circ} & =20^{\circ} \times \dfrac{\pi}{180^{\circ}} \: \sf rad\\ & =\dfrac{1}{9} \pi \: \sf rad\end{aligned}[/tex]

Part B

Given:

[tex]\begin{aligned}\textsf{Area of a sector of a circle} & =\dfrac12 r^2 \theta\\\\\implies \textsf{Area of slice of cake} & =\dfrac{1}{2} \cdot 10^2 \cdot \dfrac{1}{9} \pi\\\\& = \dfrac{50}{9} \pi \: \sf cm^2\end{aligned}[/tex]

Part C

Given:

[tex]\begin{aligned}\textsf{Perimeter} & = 2r + \textsf{arc length}\\& = 2r + r \theta \\& = 2(10)+10\left(\dfrac{1}{9} \pi \right) \\& = 20 + \dfrac{10}{9} \pi \\& = 23.4906585\\& = 23.5\: \sf cm \:(1 \:dp)\end{aligned}[/tex]

Answer:

0.23

Step-by-step explanation:

Was the answer on khan academy

Answer:

56 units^2

Step-by-step explanation:

Area of a parallelogram = base length times height length

Base = 7 units
Height = 8 units

A = BH
A = 7x8

A = 56 units^2

Answer:

He will need a total of 168.8 total gallons of oil.

He will need 34.4 gallons of oil for machine A.

He will need 134.4 gallons of oil for machine B.

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Answer:

4 years

Step-by-step explanation:

30 = 25 ( 1.05)^n

1.2 = 1.05^n

log 1.2  / log 1.05   = n years = 3.73    ~ 4 years

Each carton of any flavour costs same

so

Total cartons:-

Total cost

The answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The target number is 54

= 9×6 = 54

= 8×7 - 02

= 5×7 + 19

= 27×2 = 54

Thus, the answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.

Learn more about the arithmetic operation here:

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Answer:

3

Step-by-step explanation:

7a+3b=20

3a+7b=10

Substitution:

[tex]\begin{bmatrix}3\cdot \frac{20-3b}{7}+7b=10\end{bmatrix}[/tex]

[tex]a=\frac{20-3\cdot \frac{1}{4}}{7}[/tex]

[tex]a=\frac{11}{4},\:b=\frac{1}{4}[/tex]

11=4 + 1=4 = 12/4

12/4 = 3

Step-by-step explanation:

first, let's bring them to the same exponent of 10.

8.5 × 10⁸ is already scientific notation

42 × 10⁷ = 4.2 × 10⁸ (this is now scientific notation AND it is using the same exponent of 10)

so, how many times is the first one greater ?

(8.5 × 10⁸) / (4.2 × 10⁸) = 8.5 / 4.2 = 2.023809524...

so, the first number is 2.023809524... times greater than the second number.

maybe you made a typo ?

maybe the second number was actually 42.5 × 10⁷ ?

because then

42.5 × 10⁷ = 4.25 × 10⁸

and

8.5 / 4.25 = 2

so,

8.5 × 10⁸ is 2 times greater than 42.5 × 10⁷ or 4.25 × 10⁸.

Answer:

82 inches squared

Step-by-step explanation:

7*3*2 = 42

7*2*2 = 28

3*2*2 = 12

42 + 28 + 12 = 82

Answer:

110687192.78951, 6488.47368421, 4214, 0.0464, 0.03626

SIMPLIFIED WAY OF SAYING IT:

Last One to First Box

3rd One to 2nd Box

1st one to 3rd box

2nd one to 4th box

4th one to 5th box

Step-by-step explanation:

(4.3*10^(6))*(9.8*10^(-4)) = 4,214

(2.9*10^7)*(1.6*10^-9) = 0.0464

(4.7*10^3)*(8.6*10^-7)/(3.8*10^-4)*(6.1*10^2) = 6488.47368421

(4.9*10^3)*(7.4*10^-6) = 0.03626

Last one = 110687192.78951

Hi Student!

Looking at this problem, it is pretty straight forward and we don't need to do much information gathering to help answer our question.  The main point is that we just need to solve the equation also known as solving for the unknown variable.

Subtract 2 from both sides

Divide both sides by 5

Therefore, our final solution to this problem is that x is equal to 4/5 or we can convert this to a decimal to which we will then get 0.8.

Answer:

0.33

Step-by-step explanation:

36.4 divided by 109 1/5 is 0.33.

Answer:

1. g(x) = (x - 1)²; translation of 1 unit to the right.

2. g(x) = 3^(x + 1) - 2; translation to the left of 1 unit and translation of 2 units down.

Step-by-step explanation:

1.

f(x) = x²

g(x) = f(x - 1)

g(x) = (x - 1)²

Since x was replaced by x - 1, g(x) is similar to f(x) with a translation of 1 unit to the right.

2.

f(x) = 3^x

g(x) = f(x + 1) - 2

g(x) = 3^(x + 1) - 2

Since x was replaced by x + 1, which is the same as x - (-1), there is a translation to the left of 1 unit. In addition, the -2 causes a translation of 2 units down.

Answer:

45

Step-by-step explanation:

We know that B is 90 because its a right angle, and in that triangle it has to add up to 180

So 180 - 90 = 90

90 ÷ 2 = 45

And thats a right angled triangle so it has a right angle and two equal angles.

Hope it helps :))

If a point divides any line segment into two equal parts, then the point is the mid-point of that line. The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.

To find the scale factor of the dilation, we need to find the ratio from initial point of the line segment to the distance from the point that is lie on that line segment.

Following points can be concluded from the given conditions.

The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.

To know more about the scale factor, please refer to the link:

https://brainly.com/question/20449840

Answer:

y - 4 = 1/5(x-7)

Step-by-step explanation:

Find slope:

4-3 / 7-2

1 / 5

y - y1 = m(x-x1)

y - 4 = 1/5(x-7)

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Answer:

Angle B is 155 degrees

Step-by-step explanation:

Vertical angles are congruent; they have the same angle measure.

[tex]m\angle{A} = 155 \cong m\angle{B} = 155[/tex]

Answer:

-4

Step-by-step explanation:

m=y2-y1/x2-x1

m=10+6/5-9

m=16/-4

m=-4

Answer: 4/-4

Step-by-step explanation:

Slope Formula= (y2-y1/x2-x1)

10-6/5-9

4/-4

Answer:

I and II

Step-by-step explanation:

In a 'linear function,' the exponents of x and y are both 1.  

This characteristic is found in both I and II but not in III (which is a quadratic function).

Answer:

97.92 m³ (nearest hundredth)

Step-by-step explanation:

The composite solid is a cube with a cone cut out.

Therefore, to find the volume of the solid, subtract the volume of the cone from the volume of the cube.

[tex]\textsf{Volume of a cube}=\sf s^3 \quad\textsf{(where s is the side length)}[/tex]

Given:

Substitute given value into the formula:

[tex]\begin{aligned}\implies \sf V_{cube} & = \sf 5.1^3\\& = \sf 132.651\: m^3\end{aligned}[/tex]

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute given values into the formula:

[tex]\begin{aligned}\sf \implies V_{cone} & = \sf \dfrac{1}{3} \pi (2.55^2)(5.1)\\& = \sf 11.05425 \pi \: m^3\end{aligned}[/tex]

[tex]\begin{aligned}\sf V_{solid} & = \sf V_{cube}-V_{cone}\\& = \sf 132.651-11.05425 \pi \\& = \sf 97.92304941...\\& = \sf 97.92 \: m^3 \: (nearest\:hundredth)\end{aligned}[/tex]

Volume of the cube

For the cone

Volume

Total volume of the figure

The mass of a thin triangular plate bounded by the coordinate axes is 3 3/4.

It should be noted that mass simply means a quantity of matter that's in a body. It's the meaure of the inertia in the body.

In this case, from the complete question, the mass will be:

= 3/1000[1/24x⁴ - 25x² + 1000/3x]

= 15/4

= 3 3/4

Learn more about mass on:

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What you need to write in each blank is:

1) positive x-axis.

2) negative x-axis.

3) positive y-axis.

To plot a point (R, θ) on the polar plane. First, if R is positive the angle is measured from the positive x-axis, if R is negative, the angle is measured from the negative x-axis.

Because here R is 4, positive, the point will lie on the x-axis. Then, she needs to move it clockwise by an angle of (3/2)pi (a total of 3 quadrants) This means that the point will end up in the positive y-axis.

So what you need to write in each blank is:

1) positive x-axis.

2) negative x-axis.

3) positive y-axis.

If you want to learn more about polar coordinates:

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Answer:

Radius = 10

Step-by-step explanation:

Volume of a cylinder=πr^2h

1600πcm^3=πxr^2x16

π cancels out

1600=r^2x16

1600/16=r^2

100=r^2

√100=r

r=10