Given: EG - diameter m arc FG =41°, m arc EH =53° Find: m∠E, m∠GPF

Answer:

[tex]P(Brown\ or\ Green) = \frac{13}{25}[/tex]

Step-by-step explanation:

Given

[tex]n(Brown) = 20[/tex]

[tex]n(Green) = 6[/tex]

[tex]n(Blue) = 17[/tex]

[tex]n(Hazel) = 7[/tex]

Required

Determine the probability of Brown or Green eyes

First, the total number of respondents have to be calculated;

[tex]Total = 20 + 6 + 7 + 17[/tex]

[tex]Total = 50[/tex]

The events described above is a mutually exclusive event and as such, the required probability will be calculated by;

[tex]P(Brown\ or\ Green) = P(Brown) + P(Green)[/tex]

Calculating P(Brown)

[tex]P(Brown) = \frac{n(Brown)}{Total}[/tex]

Substitute 20 for n(Brown) and 50 for Total

[tex]P(Brown) = \frac{20}{50}[/tex]

Calculating P(Green)

[tex]P(Green) = \frac{n(Green)}{Total}[/tex]

Substitute 6 for n(Green) and 50 for Total

[tex]P(Green) = \frac{6}{50}[/tex]

So;

[tex]P(Brown\ or\ Green) = P(Brown) + P(Green)[/tex]

[tex]P(Brown\ or\ Green) = \frac{20}{50} + \frac{6}{20}[/tex]

Take LCM

[tex]P(Brown\ or\ Green) = \frac{20+6}{50}[/tex]

[tex]P(Brown\ or\ Green) = \frac{26}{50}[/tex]

Divide the numerator and denominator by 2

[tex]P(Brown\ or\ Green) = \frac{13}{25}[/tex]

Answer:

13/25

Step-by-step explanation:

Total number of people = 50

Probability of choosing a person with brown eyes [P(A)] = 20/50

Probability of choosing a person with green eyes [P(B)] = 6/50

Using the addition rule of mutual exclusive events (since they have specified brown OR blue, we use this formula):

P(A U B) = P(A) + P(B)

=> P(A U B) = 20/50 + 6/50 = 26/50 = 13/25

Therefore the probability of a person choosing a group that has brown or green eyes = 13/25

Also I got it right on edge haha, if you're still worried!!!!!!!!

Hope this helps :))))))))))))))

Answer:

D

Step-by-step explanation:

the domain of 3^x  is (-∞,∞) and the range is (0,∞)

the domain of 3^x-5 is (-∞,∞) and the range is (-5,∞)

the domain doesn't change, the range (-5,∞)

Answer:

x = 2

Step-by-step explanation:

5x = 10

x = 2

Answer:

x = 2

Step-by-step explanation:

5x-10=0

Add 10 to each side

5x-10+10=0+10

5x = 10

Divide by 5

5x/5 = 10/5

x = 2

Complete Question :

Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The

results are shown in the table below.

Highest Level of Education Completed

Education Level

Percentage

High School

5%

Community College

10%

Four-Year College

60%

Graduate School

25%

Two-hundred sixty people completed the survey. How many of those people completed graduate school?

Answer:

65 people

Step-by-step explanation:

Given the following :

Number of survey participants = 260

Percentage that completed graduate school = 25%

Number of participants who completed graduate school ;

Total Number of participants × percentage that completed graduate school

260 participants × 25%

260 × 0.25

= 65

Answer:

65 people

Step-by-step explanation:

I took the test and that was the correct answer

Answer:

Vanessa is 60 and the other person is 12

Step-by-step explanation:

X + 5x = 72

6x = 72

x = 12

12 x 5 = 60

vanessa is 60

the other person is 12

60 + 12 = 72

Answer:

18

Step-by-step explanation:

Let's say x is Oscar's age, and y is Vanessa's age.

When Oscar was Vanessa's age, Vanessa was y−(x−y) = 2y−x years old.  Oscar is five times older than this:

x = 5 (2y − x)

x = 10y − 5x

6x = 10y

3x = 5y

When Vanessa is Oscar's age, Oscar will be x+(x−y) = 2x−y years old.  The sum of their ages will by 72.

2x−y + x = 72

3x − y = 72

Substituting:

5y − y = 72

4y = 72

y = 18

Vanessa is 18.  Which means Oscar is 30.

Let's check our answer.  When Oscar was 18, Vanessa was 6.  Oscar is 5 times older than that (30).  When Vanessa is 30, Oscar will be 42, and their ages will add up to 72.

Answer:

weak positive

Step-by-step explanation:

it is positive because it is going up to the right and weak because no points are together

Answer:

26.25 cm²

Step-by-step explanation:

The area of the shaded part is the area of the shaded triangle subtract the area of the white triangle.

Since the triangles are similar then the ratios of corresponding sides are equal.

let the height of the white triangle be h, then

[tex]\frac{12}{9}[/tex] = [tex]\frac{10}{h}[/tex] ( cross- multiply )

12h = 90 ( divide both sides by 12 )

h = 7.5

shaded area = [tex]\frac{1}{2}[/tex] × 12 × 10 - [tex]\frac{1}{2}[/tex] × 9 × 7.5 = 60 - 33.75 = 26.25 cm²

Answer:

The direction of relationship changes at least once.

Step-by-step explanation:

Curvilinear relationship is a relationship between two variables where if one variable increases the other variable also increases but up to certain point after which one variable increases and other decreases. This type of relationship is referred as non monotonic function.

Answer:

[tex]\boxed{Selling\ Price = Rs.\ 424}[/tex]

Step-by-step explanation:

Cost Price = Rs. 400

Profit = 4 % of Cost Price

=> [tex]\frac{4}{100} * 600[/tex]

=> 4 * 6

=> Profit = Rs. 24

Now, Selling Price = Cost Price + Profit

Selling Price = 400+24

Selling Price = Rs. 424

Answer:

Selling price = ₹ 416

Step-by-step explanation:

Cost Price = ₹ 400

Profit% = 4 %

Profit  =  4 % of  cost price

          = [tex]\frac{4}{100}*400\\\\[/tex]

          = 4 * 4

          = ₹ 16

Selling price = Cost price + profit

                    = 400 + 16

                    = ₹ 416

Answer:

$1280000

Step-by-step explanation:

Given that :

John has a life insurance policy that will pay his family $32,000 per year if he dies

If interest rates are at 2.5% when the insurance company has to pay

The amount of the lump sum that the insurance company must out into a bank account can be determined by the division of the amount to be paid by the interest rate.

i.e

the amount of the lump sum = $32000/2.5%

the amount of the lump sum = $32000/0.025

the amount of the lump sum = $1280000

Answer:

Option C.

Step-by-step explanation:

It is given that, a menu at a local diner has

Appetizers = 12

Entrees = 8

Choice of desserts = 4

We need to find the different meal combinations which are possible if you select one appetizer, one entree and one dessert form the menu.

Total ways to select an Appetizers = 12

Total ways to select an entrees = 8

Total ways to select a desserts = 4

Now,

Total combinations for different meal [tex]=12\times 8\times 4=384[/tex]

Therefore, the correct option is C.

Answer:

see below

Step-by-step explanation:

the answer is c

Answer:

1) Factor form : [tex]h(t)=-5t(t-8)[/tex]

2) 8 second after launch.

Step-by-step explanation:

The height of the ball (in meters above the ground) t seconds after launch is modeled by

[tex]h(t)=-5t^2+40t[/tex]

To find the time when ball hit the ground, we need to find the factor form of the given function.

[tex]h(t)=-5t(t-8)[/tex]

When ball hi the ground, then height of the ball from the ground is 0.

[tex]h(t)=0[/tex]

[tex]-5t(t-8)=0[/tex]

Using zero product property, we get

[tex]-5t=0\Rightarrow t=0[/tex]

[tex]t-8=0\Rightarrow t=8[/tex]

Ball hit the ground at t=0 and t=8. It means ball hit the ground in starting and 8 second after launch.

Answer:

-5t(t - 8) and it hit 8 seconds after launch.

Answer:

17,725/14.

Step-by-step explanation:

Let's say that the blank is represented by x.

Since the question asks what is 16.8% of x, we can set up a proportion where 16.8 out of 100 is equivalent to 212.7 out of x. The 100 represents the "whole" number, which corresponds to x. The 212.7 IS the 16.8 of x.

[tex]\frac{16.8}{100} =\frac{212.7}{x}[/tex]

16.8 * x = 212.7 * 100

16.8x = 21,270

x = 21,270 / 16.8

x = 212,700 / 168

x = 17,725 / 14 = 1,266.071429

To check our work, 1,266.071429 * 0.168 = 212.7.

Hope this helps!

Answer:

Real interest rate = -1%

Step-by-step explanation:

Real interest rate=Nominal interest rate - inflation rate

From the above,

Nominal interest rate=1%

Inflation rate=2%

Real interest rate=Nominal interest rate - inflation rate

=1% - 2%

= -1%

Real interest rate = -1%

Real interest rate shows you what it really costs borrowers to pay back their loans.

if the real interest rate is greater than zero, the amount you pay back is worth more in real terms than the money you borrowed.

if the real interest rate is below zero as in the above case, the amount you will pay back is less worth in real terms than the money you borrowed.

Answer:

27°

Step-by-step explanation:

arc RT = 66

1/2(120 - 66) = 27

Answer:

∠ U = 27°

Step-by-step explanation:

The inscribed angle S is half the measure of its intercepted arc, thus

arc RT = 2 × ∠ U = 2 × 33³ = 66°

The secant- tangent angle U is half the measure of the difference of the measures of the intercepted arcs, that is

∠ U = 0.5( RS - RT) = 0.5(120 - 66)° = 0.5 ×54° = 27°

Answer:

The correct answer is C. ​Sample, because the collection of temperatures for four state capitals is a subset of all state capitals.

Step-by-step explanation:

we cannot fully understand this answer without first defining the parameters that are involved in the questions, the two key terms are; Population or sample.

Population: a population contains all the set of data which is in consideration and

Sample: Sample is the range of values in an experiment.

The main difference between a population :A population basically includes all  the elements from a set of data while  a sample only consists of  one or more observations drawn from the population.

we can say safely that a sample is a subset of a population.

Since we it have been stated that the temperatures of from four states capitals out of 50 states then our explanation supports our answer.

Answer:

everything

Step-by-step explanation:

because in statistics we represent data in classes and you can't have a class of one number since the histogram a class has to have limits hope it helps

Answer:

256

Step-by-step explanation:

the first digit cannot be 0, so there are only 4 even numbers

For the second, third, and fourth digits, there are 5 available numbers.

Thus, the number of 4-digit numbers containing only even digits is 4 x 5 x 5 x 5 = 500

2nd place ( hundred place) can also be filled up by 4 number : 2, 4, 6, 8 and same logic applies to 3rd ( 10th ) and 4th( unit) .

so number of ways is 4*4*4*4= 256 ways .

Answer:

sqrt( A / pi ) =r

Step-by-step explanation:

Α= pi r^2

Divide each side by pi

A / pi = r^2

Take the square root of each side

sqrt( A / pi ) = sqrt(r^2)

sqrt( A / pi ) =r

Answer: A/2pi = r

all you have to do is single out the r to get the new equation

Answer:

[tex]\large \boxed{\sf \ \ y=(x-4)^2-1 \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]y = x^2-8x+15\\ \\\text{*** we need to complete the square ***} \\ \\y=(x-4)^2-4^2+15=(x-4)^2-16+15=(x-4)^2-1[/tex]

And then the vertex is (4, -1) and as a > 0 the vertex is a minimum.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

140°

Step-by-step explanation:

Every triangles angles when combined equals 180°

In an isosceles triangle there are 2 acute angles and one obtuse angles.

It was given that the base angle/acute angle is 20°

This brings us to our equation. 20° + 20° + x = 180°

20 + 20 = 40

40 + x = 180

Now we solve algebraically:

180-40= 140

Therefore the answer is x = 140°

I hope this helps!

Answer:

m∠B = 60°

b = 26 units

c = 30 units

Step-by-step explanation:

In a right triangle ACB,

By applying Sine rule,

[tex]\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{SinC}{c}[/tex]

m∠A = 30°, m∠C = 90°

m∠A + m∠B + m∠C = 180°

30° + m∠B + 90° = 180°

m∠B = 180° - 120°

m∠B = 60°

Therefore, [tex]\frac{\text{Sin30}}{15}=\frac{\text{Sin90}}{c}=\frac{\text{Sin60}}{b}[/tex]

[tex]\frac{1}{30}=\frac{\text{Sin90}}{c}=\frac{\text{Sin60}}{b}[/tex]

[tex]\frac{1}{30} =\frac{1}{c}=\frac{\frac{\sqrt{3}}{2}}{b}[/tex]

[tex]\frac{1}{30}=\frac{1}{c}=\frac{\sqrt{3}}{2b}[/tex]

[tex]\frac{1}{30} =\frac{1}{c}[/tex] ⇒ c = 30 units

[tex]\frac{1}{30}=\frac{\sqrt{3}}{2b}[/tex]

b = 15√3

b = 25.98

b ≈ 26 units

Answer:

There is no solution.

Rewrite -2x + y = -6 so it starts with y =...

y = 2x - 6

Substitute that in 2/3x - 1/3y = -2 gives:

2/3x - 1/3*(2x -6) = -2

2/3x - 2/3x + 2 = -2

0 + 2 = -2

This statement is not true, and that means there is no solution.

Answer:

448

Step-by-step explanation:

Formula

tn = a + (n - 1)d

Givens

a = - 11

n = 52

d = 9

Solution

t52 = -11 + (51)*9

t52 = - 11 + 459

t52 = 448

Answer:

RP = 12.8 km

38 degrees

Step-by-step explanation:

RP = [tex]\sqrt{8^{2} + 10\\^{2} } \\[/tex]

RP = 12.8 km

angle = Inv sin = 8/12.8

angle 38.7°

Answer:

Take a line segment AB = 2 units (consider 1 unit = 2 cm) on x-axis.

Draw a perpendicular on B and construct a line BC = 1 unit length.

Join AC which will be √5 (Pythagoras theorem). Take A as center, and AC as radius draw an which cuts the x-axis at point E.

The line segment AC represents √5 unit

Answer:

q = 108-n

Step-by-step explanation:

Given: 108 coins containing only quarters and nickels

q = 108-n

since total number of coins is 108, and n= number of nickels

If you want to know how many of each kind of coin, read on:

First solve the number of quarters and nickels.

If all 108 coins are quarters, the value is 108*0.25 = $27

Since this value exceed the actual by 27-21 = $6,

we replace a number of quarters by nickels.

Each replacement will reduce the value by 25 - 5 = 20 cents = 0.2 dollars.

So it will take 6/0.2 = 30 replacements.

Therefore there are 108-35 = 78 quarters and 30 nickels.

The solution is : q = 108-n, is the value could replace q on the chart.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Given:

108 coins containing only quarters and nickels

q = 108-n

since total number of coins is 108, and n= number of nickels

If you want to know how many of each kind of coin, read on:

First solve the number of quarters and nickels.

If all 108 coins are quarters, the value is 108*0.25 = $27

Since this value exceed the actual by 27-21 = $6,

we replace a number of quarters by nickels.

Each replacement will reduce the value by 25 - 5 = 20 cents = 0.2 dollars.

So it will take 6/0.2 = 30 replacements.

Therefore there are 108-35 = 78 quarters and 30 nickels.

The solution is : q = 108-n, is the value could replace q on the chart.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ7

Answer:

B

Step-by-step explanation:

Just reduce your x's and y's. The x^-1 cancels with the x^5, and the y^-9 and y^-3 get simplified. After some basic simplifying, you get answer B.

Answer:

the trig function you would use to find x would be cosine becuase its adjacent/ hypotenuse.

solving it would give you 49 becuase its cosine(x)=13/20 and you have to multiply by the inverse of cosine

to solve for y you would use sine of y which would be opposite/ hypotenuse = 13/20