Find the angle measure indicated. Assume that lines which appear to betangent are tangent.114?

Answer:

It is 5....

Step-by-step explanation:

Complete Question:

There are 750 spectator in the stadium of which 420 are women and the rest are men. What percent of the spectators are women?

Answer:

Percentage = 56%

Step-by-step explanation:

Given the following data;

Total number of people = 750

Number of women = 420

To find the percentage of women;

First of all, we would determine the number of male spectators (men);

Number of men = Total number of people - Number of women

Number of men = 750 - 420

Number of men = 330

Next, we find the percentage of women;

\( Percentage = \frac {420}{750} * 100 \)

\( Percentage = \frac {42}{75} * 100 \)

\( Percentage = 0.56 * 100 \)

Percentage = 56%

Therefore, the percentage of the spectators that are women is 56%.

The probability of occurrence for the events A, B and C is; 1/4.

For the first event A in which case, there's no odd number on the first two rolls, the possible events are; EEE and EEO. Consequently, the required probability is;

Event A = 2/8 = 1/4.

For the event B in which case, there's an even number on both the first and last rolls; the possible events are; EEE and EOE. Consequently, the required probability is;

Event B = 2/8 = 1/4.

For the event C in which case, there's an odd number on each of the first two rolls; the possible events are; OOO and OOE. Consequently, the required probability is;

Event C = 2/8 = 1/4.

Read more on probability;

https://brainly.com/question/251701

#SPJ1

The value of z in the equation 1/3(6z + 7.2) = 0.5(8z + 2) - 0.4 is z=0.9

How to solve the equation?

1/3(6z + 7.2) = 0.5(8z +2) -0.4

(6/3)z + 7.2/3 = (8/2)z + 2/2 - 0.4

2z + 2.4 = 4z + 1 - 0.4

2z - 4z = 0.6 - 2.4

-2z = -1.8

z= 0.9

Hence, the value of z in the equation 1/3(6z + 7.2) = 0.5(8z + 2) - 0.4 is z=0.9

To know more about equation check the below link:

https://brainly.com/question/26310043

#SPJ1

Explanation

Lets first graph the figure:

A figure cannot be constructed with the given conditions because the alternate internal angles would not correspond in the parallels.

But assuming it can, it must be a trapezoid and therefore a quadrilateral.

Answer

Trapezoid.

Quadrilateral.

Step-by-step explanation:

HERE,

as,it is a right angle triangle,

x=\(\tt{\sqrt{8^2+6^2} }\)

\(\tt{ x=\sqrt{64+36} }\)

\(\tt{ x=\sqrt{100} }\)

\(\tt{x=10km. }\)

Answer:

Perimeter

\(202 = x + x + 26 + 4x + 26 + 4x\\202-26-26=10x\\150=10x\\x=15\)

Therefore, the dimensions are

Where are the figures, can you upload a Pic of the figures so that I can answer your question

Answer:

y=6

Step-by-step explanation:

y+6 3

----- = ----

8 2

2(y+6)=8(3)

2y+12=24

2y=24-12

2y = 12

---- ----

2 2

therefore y=6

Answer:

it will be 6 im 100%

Step-by-step explanation:

y=6

Answer:

56

Step-by-step explanation:

Answer: 56

Step-by-step explanation:

First, you can set up the problem algebraically like this:

\(\frac{x}{8}+9=16\)

Then, subtract 9 from both sides:

\(\frac{x}{8}+9=16\)

     -9    -9

\(\frac{x}{8}=7\)

Finally, multiply both sides by 8 and you get:

\(\frac{x}{8}=7\)

×8 ×8

\(x=56\)

Therefore, the missing number is 56.

I hope this helps!

Answer:

a

The probability that the selected joint was judged to be defective by neither of the two inspectors is   \(P(A' n B' ) = 0.8855\)

b

The probability that the selected joint was judged to be defective by inspector B but not by inspector A  is  \(P(A' n B) =0.0403\)

Step-by-step explanation:

From the question we are told that

   The sample size is \(n_s = 10000\)

    The number of outcome for inspector A is  \(n__{A}} = 742\)

    The number of outcome for inspector B is  \(n__{B}} = 745\)

     The number of joints judged defective by both inspector is \(n(A u B) = 1145\)

The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

      \(P(A' n B' ) = 1 - P(A u B)\)

Now

       \(P(A\ u \ B) = \frac{n(Au B)}{n_s }\)

substituting values

        \(P(A\ u \ B) = \frac{1145}{ 10 000 }\)

So  

      \(P(A' n B' ) = 1 - \frac{1145}{10 000}\)

     \(P(A' n B' ) = 0.8855\)

the probability that the selected joint was judged to be defective by inspector B but not by inspector A  is mathematically represented as

     \(P(A' n B) = P(A \ u \ B) -P(A)\)

Now

        \(P(A) = \frac{n__{A}}{n_s}\)

substituting values

       \(P(A) = \frac{742}{10 000}\)

So

     \(P(A' n B) = \frac{1145}{10 000} - \frac{742}{10 000}\)

    \(P(A' n B) =0.0403\)

The angle measure of x, y and z are 104, 76 and 104 degrees respectively

The given. figure is a parallelogram with 4 interior angles. In a parallelogram, the sum of its adjacent angle is 180 degrees and its opposite angles are equal.

<A = <C

x = 104 degrees

For the measure of y:

x + y = 180

104 + y = 180

y = 180 - 104

y = 76 degrees

Since the sum of angles on a straight line is 180 degrees, hence;

y + z = 180

76 + z = 180

z = 104 degrees

Hence the measure of x, y and z are 104, 76 and 104 degrees respectively

Learn more on parallelograms here: https://brainly.com/question/14285697

#SPJ1

Answer:

line D

Step-by-step explanation:

ooo

Answer: B

Step-by-step explanation:

The polynomial of degree 3 in factored form is calculated and of the form: y = x(x + 3)(x - 10) + 210

Information given in the question include

degree 3

leading coefficient 1

x intercept (10, 0) and (-3, 0)

y intercept (0, -210)

The polynomial is written starting from the x intercept

x = 10, (x - 10)

x = -3, (x + 3)

(x + 10)(x - 10)

y = (x + 3)(x - 10)

for a polynomial of degree three and leading coefficient 1

y = x(x + 3)(x - 10)

for a y intercept (0, -210)

y = x(x + 3)(x - 10)

- 210 = 0

y = x(x + 3)(x - 10) + 210

The factored form of the polynomial is  y = x(x + 3)(x - 10) + 210

Learn more about polynomial at:

https://brainly.com/question/4142886

#SPJ1

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Answer:

\(a = \frac{11}{12}\)

Step-by-step explanation:

\(a = \frac{5}{4} - \frac{1}{3}\)

\(a = \frac{11}{12}\)

Answer:

\( \frac{1}{3} + a = \frac{5}{4} \)

\(a = \frac{5}{4} - \frac{1}{3} \)

\(a = \frac{15 - 4}{12} \)

\(a = \frac{11}{12} \)

If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

From the question, we have the following parameters that can be used in our computation:

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

Learn more about price on

https://brainly.com/question/1153322

#SPJ1

The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

Answer: 1/2

Step-by-step explanation:

Use rise over run. Up 1, over 2.

And so on. Find nice points on the graph to practice slope with!

Variables

• L: length of the rectangular garden, in ft

• W: width of the rectangular garden, in ft

The perimeter of a rectangle is computed as follows:

The perimeter of the rectangular garden is 72 ft, then:

The width is 8 ft more than twice the length, then:

Equations 1 and 2 compose the system of equations.

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)

Linear Equation                   General Form                    Example

Slope intercept form             y = mx + b                            y + 2x = 3

Point–slope form                   y – y1 = m(x – x1 )              y – 3 = 6(x – 2)

General Form                            Ax + By + C = 0               2x + 3y – 6 = 0

Intercept form                        x/a + y/b = 1                 x/2 + y/3 = 1

As a Function f(x) instead of y      f(x) = x + C                         f(x) = x + 3

The Identity Function                      f(x) = x                     f(x) = 3x

Constant Functions                      f(x) = C                       f(x) = 6

Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:

(x - 2i)² = x² - 4xi + 4i²

Note that i² = -1, so we can simplify this expression to:

(x - 2i)² = x² - 4xi - 4

Substituting this expression and the given values into the original expression, we get:

(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)

Grouping the real and imaginary terms, we get:

(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)

Simplifying the real part, we get:

-2x² - 1

Simplifying the imaginary part, we get:

-7i - 4x

Learn more about Linear equations here:

brainly.com/question/11897796

#SPJ1

Answer:

) The number of men who attended the sessions can be obtained by summing up the number of males in each session:

Total number of men = 12 + 18 + 17 = 47

Therefore, 47 men attended the sessions.

b) The number of people who attended Session 3 can be obtained by summing up the number of males and females in Session 3:

Total number of people in Session 3 = 17 (males) + 5 (females) = 22

Therefore, 22 people attended Session 3.

c) The sample size refers to the total number of attendees across all sessions. We can calculate it by summing up the number of males and females in each session:

Sample size = (12 + 8) + (18 + 9) + (17 + 5) = 69

Therefore, the sample size is 69.

d) To calculate the probability that a randomly selected person is male, we need to divide the number of males by the sample size:

Probability of selecting a male = Number of males / Sample size = 47 / 69 ≈ 0.6812

Therefore, the probability that a randomly selected person is male is approximately 0.6812 (rounded to four decimal places).

e) To calculate the probability that a randomly selected person attended Session 3, we need to divide the number of people who attended Session 3 by the sample size:

Probability of attending Session 3 = Number of people in Session 3 / Sample size = 22 / 69 ≈ 0.3188

Therefore, the probability that a randomly selected person attended Session 3 is approximately 0.3188 (rounded to four decimal places).

f) To calculate the probability that a randomly selected person is male and attended Session 3, we need to divide the number of males in Session 3 by the sample size:

Probability of being male and attending Session 3 = Number of males in Session 3 / Sample size = 17 / 69 ≈ 0.2464

Therefore, the probability that a randomly selected person is male and attended Session 3 is approximately 0.2464 (rounded to four decimal places).

Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

The solution of the LP model using the graphical method and MS Excel are;

The acronym LP stands for Linear Programming, which is a mathematical (modeling) method of optimizing a linear objective function based on a set constraints which are linear.

Graphical method:

The constraints on the graph are;

x₁ + 2·x₂ ≤ 8

4·x₁ ≤ 16

4·x₂ ≤ 12

The third constraint indicates; x₂ ≤ 3, which is the horizontal line, y = 3

The second constraint indicates; x₁ ≤ 4, which is the vertical line, x = 4

The first constraint indicates; x₂ ≤ 4 - (1/2)·x₁, which is a line with slope (-1/2), passing through the points (0, 4) and (8, 0)

The feasible region that satisfies all the constraints is shaded in the attached graph of the inequality, created with MS Excel

The maximising function indicates;

Point A (0, 0); z = 2 × 0 + 3 × 0 = 0

Point B (0, 3); z = 2 × 0 + 3 × 3 = 9

Point C (2, 3); z = 2 × 2 + 3 × 3 = 13

Point $ (4, 2); z = 2 × 4 + 3 × 2 = 14

Point E (4, 0); z = 2 × 4 + 3 × 0 = 8

The maximum value of z is 14, which is obtained at the point D(4, 2)

Excel Method;

The MS Excel Solver add-in can be used to solve the LP problem using the following steps;

The optimal solution is obtained when x₁ = 4, x₂ = 2, and the maximum value of the objective function is 14, z = 2·x₁ + 3·x₂ = 14

Learn more in linear programming here: https://brainly.com/question/29750786

#SPJ1

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer:

To solve for the degree take the number that has the highest exponent. If they have equal exponents then see if you can simply further

Step-by-step explanation:

To solve for the degree take the number that has the highest exponent. If they have equal exponents then see if you can simply further