The measure of ADC is 200 degrees, and lines AB and BC are tangent to this circle. What is the measure of angle ECA?

The number of oranges in the shipment can the manager predict weighing 5 ounces will be 56. Then the correct option is B.

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

A grocery store receives a shipment of 700 oranges. The manager randomly selects 25 oranges to weigh. In that sample, 2 oranges weigh 5 ounces.

Then the probability of the oranges that weigh 5 ounces is given as,

p = 2/25

Then the number of oranges in the shipment can the manager predicts weigh 5 ounces will be given as,

E(x) = 700 x 2 / 25

E(x) = 28 x 2

E(x) = 56

The number of oranges in the shipment can the manager predict weighing 5 ounces will be 56. Then the correct option is B.

More about the expected value link is given below.

https://brainly.com/question/13945225

#SPJ6

99.85% of adults in the city have a systolic blood pressure of less than 110 mmHg.

Using 68-95-99.7 rule, we know that

99.7% of values lie between the interval (mean - 3 × standard deviation, mean + 3 × standard deviation)

(100 - 99.7) = 0.3% values lie outside the interval (mean - 3 × standard deviation, mean + 3 × standard deviation).

Since the normal distribution is bell-curved and symmetrical,

we can say

0.3/2 = 0.15% values are less than the mean - 3 × standard deviation

and 0.3/2 = 0.15% values are greater than mean + 3 × standard deviation.

Here,

Mean + 3 × standard deviation.

= 110 + 3 × 10 = 140

So, 0.15% of values  are greater than 140

So, (100 - 0.15) = 99.85% values are less than 140.

To learn more about systolic blood pressure

https://brainly.com/question/14507800

#SPJ4

Answer:

linear

hope this was helpful

Answer:

60

Step-by-step explanation:

60 divided by 5 is 12

Answer:

x=60  

Step-by-step explanation:

Step 1: Multiply both sides by 5.

\(\frac{x}{5}\) =12

( \(\frac{x}{5}\) )(5)=(12)(5)

x=60

To calculate the probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than .10, we can use a normal approximation to the binomial distribution.

First, we need to calculate the mean and standard deviation of the proportion of mixed couples in a sample of 200.

The mean is calculated as:

mean = n * p

where n is the sample size (200) and p is the proportion of mixed couples in the population (assumed to be .10).

So: mean = 200 * .10 = 20

The standard deviation is calculated as:

standard deviation = sqrt(n * p * (1-p))

where n is the sample size (200), p is the proportion of mixed couples in the population (assumed to be .10), and sqrt is the square root function.

So: standard deviation = sqrt (200 * .10 * .90) = sqrt (18) = 4.24

We can use the standard normal distribution to calculate this probability. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. We can convert our random variable X to a standard normal variable using the following formula:

Z = (X - mean) / standard deviation

So: Z = (X - 20) / 4.24

To find the probability that X is greater than .10, we can use a standard normal table or calculator to find the probability that Z is greater than (X - 20) / 4.24

This probability is 0.48, so the probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than .10 is 48%.

To learn more about Probability:

https://brainly.com/question/23704607

#SPJ4

One way to create a quadratic equation with exponential terms that has two real solutions is as follows:

Let $a$ and $b$ be positive real numbers. Then, consider the quadratic equation:

\(e^{2x} - (a + b ) e^{x} + ab = 0\)

To see why this equation has two real solutions, we can use the quadratic formula:

\(e^{x}\)= \((a+b)\) ± \(\sqrt{(a+b)^{2}- 4ab }\)÷ 2

For this equation to have real solutions, we need (a+b)^2 - 4ab \geq 0$. This simplifies to $a^2 - 2ab + b^2 \geq 0$, which is true for all $a$ and $b$.

Therefore, the quadratic equation $e^{2x} - (a+b)e^{x} + ab = 0$ has two real solutions for any positive real numbers $a$ and $b$.

To know more about quadratic equation refer here:

https://brainly.com/question/22364785?#

SPJ11

well These are the Images on how to add decimals.

The annual percent birth rate is 0.576% of the population.

The total number of population in the city in that particular month is given by = 2,500,000

And given the number of babies born in that month in that city is given by = 1200.

If we consider the rate of new born is same then the number of new born babies in that city in that year is = 1200*12 = 14400

Fraction of number of new born babies to the total population of that city in that year is = 14400/2500000 = 18/3125

Thus the percentage of the number of new born babies to the total population of that city in that year is = (18/3125) * 100% = 0.576%.

Hence the annual percent birth rate is 0.576% of the population.

To know more about percentage here

https://brainly.com/question/19593397

#SPJ4

Answer:

The lot has length, 40 ft and width, 55 ft.

The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

To learn more about the system of equations, follow the link.

https://brainly.com/question/25976025

#SPJ1

The other transformations are given, (x, y) → (-3x, y), (x, y) → (3x, y - 1), and (x, y) → (-x, 3y), do not preserve distances and angles, and therefore do not preserve congruence.

What are Transformation and Reflection?

Single or multiple changes in a geometrical shape or figure are called Geometrical Transformation.

A geometrical transformation in which a geometrical figure changes his position to his mirror image about some point or line or axis is called Reflection.

A transformation that results in an image that is congruent to its pre-image is a rigid transformation, which means that it preserves distances and angles.

The only rigid transformations are translations, reflections, and rotations.

Out of the four transformations given, the transformation that is a reflection across the y-axis, (x, y) → (-x, y), will result in an image that is congruent to its pre-image.

This is because a reflection across the y-axis preserves distances and angles, and therefore preserves congruence.

Hence, The other transformations are given, (x, y) → (-3x, y), (x, y) → (3x, y - 1), and (x, y) → (-x, 3y), do not preserve distances and angles, and therefore do not preserve congruence.

To learn more about Geometric Transformation visit:

brainly.com/question/24394842

#SPJ1

Answer:

x²-2x-35

Step-by-step explanation:

Write it in factored form

(x+5)(x-7)

multiply them to get

x²-2x-35

Arden's crate has dimensions of 3 feet by 2 feet by 1 foot (since it's open-topped and turned upside down). To cover all five faces with square tiles that measure 1 foot by 1 foot, we need to find the total surface area of the crate. As each tile measures 1 sq ft, Arden will need 126 square tiles to cover the five faces of the open-faced crate.

The surface area of each of the two shorter sides is 3 feet by 1 foot = 3 square feet. The surface area of the bottom (which is now the top) is 2 feet by 3 feet = 6 square feet. The surface area of the longer sides is 2 feet by 1 foot = 2 square feet each, for a total of 4 square feet. So the total surface area is:

2(3 square feet) + 6 square feet + 4(2 square feet) = 20 square feet

Since each square tile is 1 foot by 1 foot, each tile covers 1 square foot. Therefore, Arden will need 20 square tiles to cover all five faces of her crate.

Note: The number "833" given in the question is not related to the crate and tiles problem, so it can be ignored.

To determine the number of 1 ft by 1 ft square tiles Arden needs to cover the five faces of the open-faced crate, first, we need to calculate the surface area of each face. The crate has the following dimensions: 3 ft (length), 2 ft (width), and 12 ft (height).

There are two side faces, two front/back faces, and one bottom face. Calculate the area of each face as follows:

1. Side face: length x height = 3 ft x 12 ft = 36 sq ft (there are two of these faces)
2. Front/Back face: width x height = 2 ft x 12 ft = 24 sq ft (there are two of these faces)
3. Bottom face: length x width = 3 ft x 2 ft = 6 sq ft

Now, sum up the surface area of all the faces:
(36 sq ft x 2) + (24 sq ft x 2) + 6 sq ft = 72 sq ft + 48 sq ft + 6 sq ft = 126 sq ft

As each tile measures 1 sq ft, Arden will need 126 square tiles to cover the five faces of the open-faced crate.

Learn more about area at: brainly.com/question/27683633

#SPJ11

Answer:

Step-by-step explanation:

10

Answer:

Sinead

Step-by-step explanation:

Sinead drove 20 miles for 30 minutes, it means that they were the slowest since wherever they were going they got there last.

hope this helps!!!

Answer:

7.14 well be your answer

Step-by-step explanation:

Answer:

i believe the awnser is 0.5

Answer:

I think it is 0.5

Step-by-step explanation:

0.5

Answer:

An equilateral triangle has all 3 sides the same length

If one side of the triangle has length x, the perimeter = 3x

If one side of the square is 5 less than a side of the triangle

then the square has side length x-5 and perimeter 4(x-5) = 4x-20

Since the perimeter of the triangle is 7 more than

the perimeter of the square then our equation is:

3x = 4x-20+7

3x = 4x-13

x = 13

The sides of the triangle are 13 inches

The sides of the square are 13-5=8 inches

the estimated value of f(137.5) is approximately 24.

To estimate the value of f(137.5), we can use the information given about the function and its derivative.

Since we know that f'(140) = 4, we can assume that the function is approximately linear in the vicinity of x = 140. This means that the rate of change of the function is constant, and we can use it to estimate the value at other points nearby.

The difference between 140 and 137.5 is 2.5. Given that the rate of change (the derivative) is 4, we can estimate that the function increases by 4 units for every 1 unit of change in x.

Therefore, for a change of 2.5 in x, we can estimate that the function increases by (4 * 2.5) = 10 units.

Since f(140) is given as 34, we can add the estimated increase of 10 units to this value to find an estimate for f(137.5):

f(137.5) ≈ f(140) + (f'(140) * (137.5 - 140))

       ≈ 34 + (4 * -2.5)

       ≈ 34 - 10

       ≈ 24

Therefore, the estimated value of f(137.5) is approximately 24.

Learn more about Rate of Change here :

https://brainly.com/question/29181502

#SPJ11

Answer:

right

Step-by-step explanation:

s

a

k

+

1

=

a

k

+

2

and

a

1

=

6

a

2

=

a

1

+

2

=

6

+

2

=

8

a

3

=

a

2

+

2

=

8

+

2

=

10

a

4

=

a

3

+

2

=

10

+

2

=

12

and

a

5

=

a

4

+

2

=

12

+

2

=

14

and hence first five terms are

{

6

,

8

,

10

,

12

,

14

}

As

a

k

+

1

=

a

k

+

2

, each term is

2

more than previous term

it is an arithmetic sequence with first term as

a

1

and common difference

d

and hence

n

t

h

term is

a

n

=

a

1

+

(

n

−

1

)

d

and hence

n

t

h

term of the sequence is

a

n

=

6

+

(

n

−

1

)

×

2

=

6

+

2

n

−

2

=

2

n

+

4

Answer:

67°

Step-by-step explanation:

Given:

Height of helicopter from the ground, x = 665 feet

Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft

Horizontal distance(adjacent) =  280 ft

To find the angle of depression, use the formula:

\( tan y = \frac{x}{y} \)

Solve for y:

\(y = tan^-^1 (\frac{x}{y})\)

\(y = tan^-^1 (\frac{660}{280}) = 67.01\)

Angle of depression = 67°

Answer:

67 degrees

Step-by-step explanation:

Answer:

\( \cos(θ) = \frac{4}{5} \)

is the trig equation

Therefore , the solution of the given problem of equation comes out to be the stone will reach its maximum height 2 seconds after being thrown.

Variable words are widely used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic figures. Think about the information that y + 7 provides. When paired with construct y + 7, elevating results in b + 7 in this circumstance rather than another method that may divide 12 equal two halves.

Here,

The height of the stone above the water is given by the function:

=> w(x) = -5(x-8)(x+4)

To find the time when the stone reaches its maximum height, we need to find the vertex of the parabola that represents this function. We can do this by using the formula:

=> x = -b / 2a

where a = -5 and b = -5(8+(-4)) = -20.

Substituting these values into the formula, we get:

=> x = -(-20) / 2(-5) = 2

Therefore, the stone will reach its maximum height 2 seconds after being thrown.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ9

The rent expense allocated to each department is as follows: Jewelry department: $30,800, Cosmetics department: $46,200, Housewares department: $21,000, Tools department: $9,000, Shoes department: $18,000.

The retailer allocates 70% of the total rent expense to the first floor and 30% to the second floor. Then, the rent expense for each floor is allocated to the departments based on the square footage they occupy. By applying these allocation percentages and calculations, we determined the rent expense for each department.

Rent expense allocation:

- Jewelry department (1,760 sq ft on the first floor): ($130,000 * 70% * 1,760 sq ft) / (1,760 sq ft + 2,640 sq ft) = $30,800

- Cosmetics department (2,640 sq ft on the first floor): ($130,000 * 70% * 2,640 sq ft) / (1,760 sq ft + 2,640 sq ft) = $46,200

- Housewares department (1,848 sq ft on the second floor): ($130,000 * 30% * 1,848 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $21,000

- Tools department (792 sq ft on the second floor): ($130,000 * 30% * 792 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $9,000

- Shoes department (1,760 sq ft on the second floor): ($130,000 * 30% * 1,760 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $18,000

To know more about rent each year, click here: brainly.com/question/29133557

#SPJ11

A retailer pays \( \$ 130,000 \) rent each year for its two-story building. Space in this building is occupied by five departments as shown here.

Jewelry department - 1,760 square feet of first-floor space

Cosmetics department - 2,640 square feet of first-floor space

Housewares department - 1,848 square feet of second-floor space

Tools department - 792 square feet of second-floor space

Shoes department - 1,760 square feet of second-floor space

The company allocates 70% of total rent expense to the first floor and 30% to the second floor, and then allocates rent expense for each floor to the departments occupying that floor on the basis of space Occupied.

Determine the rent expense to be allocated to each department

Answer:

RR' || SS'

Step-by-step explanation:

because if you look at the image you see that RR' is parallel to SS'

Answer:

x = 1

Step-by-step explanation:

3(x − 2) + 5 = 2(5x − 4)

Distributive property

3 * x - 3 * 2 + 5 = 2 * 5x - 2 * 4

3x - 6 + 5 = 10x - 8

Combine like terms

3x - 1 = 10x - 8

Add 8 on both sides

3x - 1 + 8 = 10x - 8 + 8

3x + 7 = 10x

Subtract 3x on both sides

3x - 3x + 7 = 10x - 3x

7 = 7x

Divide by 7 on both sides to isolate the variable

7/7 = 7x/7

1 = x

Check

3(x − 2) + 5 = 2(5x − 4)

Replace the "x" with 1

3 ( 1 - 2 ) + 5 = 2 ( 5 * 1 - 4)

3 * -1 + 5 = 2 * 1

2 = 2

Correct

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Step-by-step explanation:

3(x - 2) + 5 = 2(5x - 4)

3x - 2 + 5 = 10x - 8

3x + 3 = 10x - 8

3x = 10x - 8 - 3

3x = 10x - 11

3x + 11 = 10x

11 = 10x - 3x

11 = 7x

11/7 = x

therefore, x = 1 4/ 7 ( mixed fraction form)

Answer: 132

Step-by-step explanation:

Since we are informed that Group 1 of trees produced 25 percent more coconuts than Group 2 did and that Group 1 produced 165 coconuts, the number of coconuts that Group 2 produce will be:

= [100 / (100 + 25)] × 165

= 100/125 × 165

= 0.8 × 165

= 132

Group 2 produced 132 coconuts.

Answer:

1 hour and 45 minutes

Step-by-step explanation:

I know this because you just need to divide the amount of hours that shane did it and the amount of time matt did it and then it will give you your answer