can anyone please help me? (pic attached)

The angles in the figure are:

∠PQR = 45°

∠POR = 90°

Given : O is the centre of circle, ∠OPQ = 25° and ∠ ORQ = 20°

To Find : ​values of ∠ POR and ∠ PQR.

OP = OQ  = Radius

⇒ ∠OPQ = ∠OQP  

⇒ ∠OQP = 25°

OR = OQ  = Radius

⇒ ∠OQR = ∠ORQ

⇒ ∠OQR = 20°

∠PQR = ∠OQP + ∠OQR

⇒ ∠PQR =   25° + 20°

⇒ ∠PQR =   45°

∠POR = 2∠PQR

⇒ ∠POR = 2*45°

⇒  ∠POR = 90°

Hence we get the two angles as 45° and 90° respectively.

Learn more about Angles here:

brainly.com/question/25770607

#SPJ1

Answer:   p = 9 - 0.5s

Optionally you can replace 0.5 with the fraction 1/2

===================================================

Explanation:

s = number of slices

0.5s = total width of all of those slices mentioned

9-0.5s = amount left over.

For example, if he eats s = 4 slices then he has eaten 0.5s = 0.5*4 = 2 inches of bread, and there are 9-2 = 7 inches left.

Notice how 9-0.5s=9-0.5*4 = 9-2 = 7.

The equation p = 9 - 0.5s is not an inverse variation because it's not in the form p = k/s, where k is some constant.

99% confidence Interval for the mean number of hours a student studies per week is (21.0208,18.9792)

Given:

mean x = 20

standard deviation σ = 3.5

sample size n = 78

z score for 99% = 2.576

Interval = x±z*s/[tex]\sqrt{n}[/tex]

= 20±2.576*3.5/[tex]\sqrt{78}[/tex]

= 20±2.576*0.39629

= 20±1.0208

Interval = (21.0208,18.9792)

Therefore 99% confidence Interval for the mean number of hours a student studies per week is (21.0208,18.9792).

Learn more about the confidence interval here:

https://brainly.com/question/24131141

#SPJ4

Answer:

42

Step-by-step explanation:

1.25x = 52.5  Divide both sides by 1.25

x = 42

Answer: 10

Step-by-step explanation: it’s 10 because 2 is a multiple of 10 and 10 is 10 so no change required.

Answer:

LCD = 10

Step-by-step explanation:

7/2 = 35/10

3/10 = 3/10

Answer: 26

Step-by-step explanation:

1. Make an equation

n+n+2+n+4=78

(You have n+2 because to get to the next even number you'd have to add 2. For example, 2 is even, to get to the next even number, 4, you have you add 2.)

2. Combine like terms

3n+6=78

3. Solve for n

3n=72

n=24

4. Solve for the second number

(The second number would be n+2)\

n+2

24+2

26

ANSWER: 26

The values of x and y are not in a linear relationship.

Given,

x y

1 4.3

2 8.6

3 12.9

4 16.3

The linear relationship between x and y can be determined by using,

[tex]y=kx\\k=\frac{y}{x}[/tex]

Where, k=constant rate of change

If k is same for all values of x and y then the given data are said to be in linear relationship.

At first row,

[tex]k=\frac{4.3}{1} =4.3[/tex]

At second row,

[tex]k=\frac{8.6}{2}=4.3[/tex]

At third row,

[tex]k=\frac{12.9}{3}=4.3[/tex]

At fourth row,

[tex]k=\frac{16.3}{4} =4.075[/tex]

So, the k is not same for all values for x and y. Hence, the given data is non linear

To learn more about linear relationship refer here

https://brainly.com/question/4356396

#SPJ9

The number of displays are possible is 3

Total number of species Lightning bugs = 69

We have to arrange the same number of Lightning bugs in each row

First find the factors of the number 69

The factors of 69 = 1, 3, 23, 69

First combination is (1 × 69)

Arrange 1 Lightning bug in each row, then the number of rows will be 69

(3 × 23)

Arrange 3 Lightning bugs in each rows, then the number or rows will be 23

(23 × 3)

Arrange 23 Lightning bugs in each rows, then the number of rows will be 3

Hence, the number of displays are possible is 3

Learn more about factors of the number here

brainly.com/question/2058395

#SPJ9

The value of variable x is 16.5 using the cross-multiplication method.

The denominator of the first term is multiplied by the numerator of the second term when utilizing the cross-multiplication method.

In mathematics, more specifically in elementary arithmetic and elementary algebra, one could cross-multiply an equation between two fractions or rational expressions to make the equation easier or to determine the value of a variable.

So, the value of x will be:

Use the cross-multiplication method as follows:

2x-7/4 = x+3/3

3(2x-7) = 4(x+3)

6x - 21 = 4x + 12

2x = 12 + 21

2x = 33

x = 33/2

x = 16.5

Therefore, the value of variable x is 16.5 using the cross-multiplication method.

Know more about the cross-multiplication method here:

https://brainly.com/question/28839233

#SPJ1

Correct question:
Obtain the value of x.

Answer:

simplify - 3x^2xy-(-3x^2) x 2x ^3y^2^z: -3x^3y+6x^2+3y2z

Answer:

14/x+3

Step-by-step explanation:

By using ratio, it is calculated that John have 42 sweets.

What is ratio?

Ratio between two quantity tells us how much bigger is one quantity as compared to the other quantity.

The first part of the ratio is called antecedent and the second part of the ratio is called consequent

Vicky and John share some sweets in the ratio 2:7

Let Vick shares 2x sweets and John shares 7x sweets

Vicky ends up with 12 sweets

By the problem,

[tex]2x = 12\\x = \frac{12}{2}\\x = 6[/tex]

Number of sweets John have = [tex]7 \times 6 = 42[/tex]

To learn more about ratio, refer to the link-

https://brainly.com/question/2328454

#SPJ9

Answer:

A. 63.

Step-by-step explanation:

The volume of the cube A is 8 cm³ and the volume of the cube B is 64 cm³

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, and 4 on the sides faces.

We have been given that Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. then the side length of Cube B is twice that of Cube A.

Then the surface area of Cube B = 6a²

Cube B = 6 x 4² = 96

Surface area of Cube A = 6 x 2² = 24

The volume of the cube A = a³ = 2³ = 8 cm³

The volume of the cube B = a³ = 4³ = 64 cm³

Learn more about cubes;

brainly.com/question/15420947

#SPJ1

Answer: B

Step-by-step explanation:

If t=1, then d=3:  In 1 minute, the snail traveled 3 inches.

If t=2, then d=6:  In 2 minutes, the snail traveled 6 inches.

If t=3, then d=9:  In 3 minute, the snail traveled 9 inches.

The snails speed is 3 inches per minute.  That's what the 3 represents.  The change in distance (inches) for each minute that passes.

The value of the car to be, to the nearest cent, after 11 years is $7641.

Given data;

A brand-new car is bought for $20300. The car's value decreases by 9.5% annually.

To know the value of the car to be, to the nearest cent, after 11 years;

[tex]S(t) = 20300*(0.915)^t[/tex]

[tex]S(11) = 20300*(0.915)^1^1[/tex]

[tex]S(11) = 20300*0.376[/tex]

[tex]S(11) = 7640.61[/tex]

Hence, the value of the car after 11 years is $7641.

To learn more about Cent click here:

brainly.com/question/25713229

#SPJ4

There is no null hypothesis in this situation there is no differences in the opinions about marriage between men and women

In the field of science, hypothesis testing is an effective method of determining whether or not there is a relationship between two or more variables. A null hypothesis is a default position or a general statement that no relationship or connection exists between the given variables.

The hypothesis is then tested, and based on the results of the tests, a conclusion is drawn either approving or rejecting the null hypothesis.

In the given situation, where the researcher predicted that women would have different opinions about marriage than men, the null hypothesis could be formulated because there is no difference in the opinions of men and women about marriage.

To learn more about null hypothesis:

https://brainly.com/question/28920252

#SPJ4

Answer:

(-2.-3)

Step-by-step explanation:    

(-2.-3)

The value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1 ​.

According to the question,

We have the following equation:

f-2g+3=2f-39+2=1 ​

Now, we will equate both these equations to 1:

f-2g+3 = 1

Subtracting 3 from both sides:

f-2g = 1-3

f-2g = -2 ..(1)

2f-39+2 = 1

2f -37 = 1

Adding 37 to both sides:

2f = 1+37

2f = 38

Dividing by 2 on both sides:

f = 38/2

f = 19

Putting this value of f in equation 1:

f-2g = -2

19-2g = -2

-2g = -2-19

-2g = -21

g = 21/2

g = 10.5

Hence, the value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1​.

To know more about simultaneous equation here

https://brainly.com/question/16763389

#SPJ9

The probability that the frog will escape without being eaten by the snake is [tex]\frac{63}{146}[/tex]

What is Markov Process?

A Markov chain or Markov process is a stochastic model that depicts a series of potential occurrences where each event's likelihood is solely determined by the state it reached in the preceding event.

First, take notice that the frog has a probability of 1/2 of finally being eaten by the snake once it is on pad 5, and a probability of 1/2 of eventually emerging from the pond unharmed. Therefore, all that needs to be determined is the probability that the frog on pad 1 will make it to pad 5 without being eaten.

Consider the frog’s jumps in pairs. The frog on pad 1 will advance to pad 3 with probability [tex]\frac{9}{10} \frac{8}{10}[/tex][tex]=\frac{72}{100}[/tex] will be back at pad 1 with probability [tex]\frac{9}{10} \frac{2}{10}[/tex][tex]=\frac{18\\}{100}[/tex]

s

[tex]\frac{72}{100}[/tex] ÷  [tex](\frac{72}{100}+\frac{10}{100} )=\frac{36}{41}[/tex]   and the probability that it ultimately makes it to pad 0 is [tex]\frac{10}{100}[/tex] ÷ [tex](\frac{72}{100}+\frac{10}{100} )=\frac{5}{41}[/tex].Similarly, in a pair of jumps the frog will advance from pad 3 to pad 5 with probability [tex]\frac{7}{10} \frac{6}{10} =\frac{42}{100}[/tex], will be back at pad 3 with probability [tex]\frac{7}{10} \frac{4}{10} +\frac{3}{10} \frac{8}{10} =\frac{52}{100}[/tex].

Because the frog will ultimately make it to pad 5 or pad 1 from pad 3, the probability that it ultimately makes it to pad 5 is [tex]\frac{42}{100}[/tex] ÷ [tex]( \frac{42}{100} +\frac{6}{100} )=\frac{7}{8}[/tex] and the probability that it ultimately makes it to pad 1 is [tex]\frac{6}{100}[/tex] ÷ [tex](\frac{42}{100} +\frac{6}{100} )=\frac{1}{8}[/tex]

The series of steps that must be made in pairs for the frog to get to pad 5 without being eaten is

1 → 3 → 5, 1 → 3 → 1 → 3 → 5, 1 → 3 → 1 → 3 → 1 → 3 → 5 and so on.

The sum of the respective probabilities of reaching pad 5 is then

[tex]\frac{36}{41} \frac{7}{8} +\frac{36}{41} \frac{1}{8} \frac{36}{41} \frac{7}{8}+\frac{36}{41} \frac{1}{8} \frac{36}{41} \frac{1}{8} \frac{36}{41} \frac{7}{8}+.....[/tex]

[tex]= \frac{63}{82} (1+\frac{9}{82} +(\frac{9}{82})^{2} +....)[/tex]

[tex]=\frac{63}{82}[/tex]÷[tex](1-\frac{9}{82} )[/tex]

[tex]= \frac{63}{73}[/tex]

Therefore the requested probability is [tex]\frac{1}{2}\frac{63}{73} = \frac{63}{146}[/tex]

To learn more as about Markov process

https://brainly.com/question/15202685

#SPJ4

To rewrite the expression 12x+8 to find an equivalent expression.

The answer is

 12 x + 8 is equivalent to 4(3x + 2) is equivalent to  

 3x + 3x+3x+3x + 2 +2+2+2 is  equivalent to (x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2

Therefore these are the possible expressions

Step: 1

Here given that,

Rewrite the expression 12x + 8 to find an equivalent expression. Show three possible expressions. What do the rewritten expressions tell you about the relationships among the quantities.

Step: 2

When you rewrite an expression, you are writing an equivalent expression. 

 12 x + 8 is equivalent to 4(3x + 2) is equivalent to  

 3x + 3x+3x+3x + 2 +2+2+2 is equivalent to  

(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2

Therefore these are the possible expressions

Hence the answer is

 12 x + 8 is equivalent to 4(3x + 2) is equivalent to  

 3x + 3x+3x+3x + 2 +2+2+2 is equivalent to  

(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2

Therefore these are the possible expressions

To learn more about expressions click here https://brainly.com/question/22048677

#SPJ9

Answer: 9x + 16

Simplify the expression

The slope of a line parallel to the line whose equation is 10x + 6y = -96 is;

m = - 5/3

Find the slope fully simplify my answer.

10x + 6y =-96

y = - 5/3 x – 16

y = - 5/3 x + (-16)

y = - 5/3 x + (-16), m = - 5/3

Read more at; brainly.com/question/4193335

#SPJ1

If n is an integer , the possible values of n in the given inequality are n > 5/2 and  n < 10       .

In the question ,

it is given that ,

the inequality is 5 < 2n < 20 , where n is an integer .

we need to find the all the possible values of n that satisfy the given inequalities .

to find the possible values of n , we solve both sides of the inequality separately ,

that is ,

5 < 2n

dividing both sides in the inequality by 2, we get

5/2 < n

n > 5/2

and

2n < 20

dividing both sides in the inequality by 2 , we get

n < 20/2

n < 10

Therefore , the possible values of n are n > 5/2 and  n < 10   .

The given question is incomplete , the complete question is

Write down all the possible values of n for the inequality 5<2n<20 , where n is an integer ?

Learn more about Inequalities here

https://brainly.com/question/18205533

#SPJ9

The equation that can be used to find the side length of the shape is 14s - 7s/2 = 84

From the information, the two sides of the rectangle are 14 and s.

Area of a rectangle = length × width

The triangle is cut from the rectangle, the height is s/2 and the base is 14.

The area will be: = 1/2 × base × height

= 1/2 × 14 × s/2

= 7s/2

The area of shaded part will be;

= Area of rectangle - Area of triangle

= 14s - 7s/2

Since area is 84, the equation is 14s - 7s/2 = 84.

Learn more about length on:

brainly.com/question/9555451

#SPJ1

Answer:

Step-by-step explanation:

When adding or subtracting, the matrices must be the same size!

Therefore, B-A is not possible.

The probability of choosing the biased coin if you win a prize is 0.3056

To answer this query, we employ the conditional probability formula. It is, where

P(B|A) is the likelihood that event B will occur in the absence of event A.

is the likelihood that both A and B will occur.

P(A) denotes the likelihood that A will occur.

The following probability applies:

50% chance of winning a prize with the fair coin.

There is a 100-78 = 22% chance of winning a reward with the biased coin.

50% chance of selecting each coin.

What is the likelihood that you would choose the biased coin if you were to win a prize?

Event A: Receiving the award

Choosing the skewed coin is event B.

the likelihood of selecting the skewed coin and obtaining the reward.

p(A∩B) = 0.5 * 0.22 = 0.11

probability of winning the prize:

p(A) = 0.5*0.22 + 0.5 *0.5 = 0.36

conditional probability:

p(B/A) = 0.11/0.36= 0.3056

the probability of choosing the biased coin if you win a prize is 0.3056

To learn more about Conditional Probability:

https://brainly.com/question/8284622

#SPJ4