A regular polygon has 20 sides.
What is the size of each of its interior angles?
Give your answer in degrees ().

Answer:

From Pythagoras Rule

c=√1²+2²

c=√5 cm

c= 2.2cm

To the Nearest tenth..

Answer:

[tex]\huge\boxed{\sf 90\ degrees}[/tex]

Step-by-step explanation:

P is the center of the circle

Chord RL passes through the center of the circle. Hence it is the diameter of the circle.

According to Thales's Theorem: (The angle opposite to the diameter is 90 degrees when a triangle is drawn in that semi-circle)

=> m∠REL = 90°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

x - 5 = 63

x = 63 - 5

x = 58 years

Answer:

she will be 34

Step-by-step explanation:

x - Joseph age

(x-5)+x=63

2x=68

x=34

34- 5 =29 Angeles age

in 5 years she will be 29+5=34

Answer:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{0.1}{\sqrt{n}} = \frac{0.1645}{\sqrt{n}}[/tex]

The lower end of the interval is the sample mean subtracted by M, while the upper end is M added to the sample mean of 0.5. Thus, the confidence interval is of:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

Answer:

10^6

Step-by-step explanation:

Dont exactly know how to explain but it’s ten to the sixth power. There are six zeros and I just know how to do this.

Answer:

7,    7,    7,    7.5,    7.5,    14,    20,    10

Step-by-step explanation:

           Since the median has to be 7.5, you know that the 4th and 5th numbers have to average out to 7.5. In simpler terms, the two numbers have to add up to 15 so that when you divide them by 2, you get 7.5. Then you know that the mode is 7. So, the magority of the numbers have to be 7. This is why I made the first 3 numbers 7. Then you know that the mean is 10, so all the numbers have to add up to 80. So, if you add up the numbers you have so far you get 36. This means that the remaning numbers have to add up to 44. Here you can really choose any numbers you want, as long as they add up to 44. That is why I chose, 14, 20, and 10. Lastly to check the numbers you put in, find the mean, median and mode. If they all match up with median: 7.5,  mean: 10, and mode: 7, then your numbers work! Hope that helps!  

✌

One possible data set can be -

8, 7, 8, 7, 8, 7, 15, 7, 13

We have the following statistics for weights of eight puppies -

Mean: 10

Median: 7.5

Mode: 7

We have to list the set of possible weights for eight puppies.

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

The mode is the number that occurs most often in a data set.

According to the question, we have -

Number of puppies = 8

Mean = 10

Median = 7.5

Mode =7

Assume the sum of weights of all puppies be x. Therefore -

[tex]$\frac{x}{8} = 10[/tex]

x = 80

Now -

Mode = 7 → This means that the number 7 has occurred the most in the set.

Median = 7.5 → This means that 7 is the middle value when a data set is ordered from least to greatest. The data set can be -

8, 7, 8, 7, 8, 7, 15, 7, 13

Hence, one possible data set can be -

8, 7, 8, 7, 8, 7, 15, 7, 13

To solve more questions on statistics, visit the link below-

https://brainly.com/question/12730221

#SPJ2

search up mean calculator

Answer:

3x+94+x+18+2x-4=180(being straight line)

6x+108=180

6x=180-108

x=72/6

x=12

Step-by-step explanation:

Answer:

The correlation is [{-3,6,9},{1,-2,-3}]

Step-by-step explanation:

The result is -1

Answer: 13

Step-by-step explanation:

This is a right angle, since there is a box

So, 33° + (4w + 5)° = 90°

33° + 4w + 5 = 90°

38° + 4w = 90°

Subtract 38° on both sides

4w = 90° - 38°

4w = 52°

Divide 4 on both sides

w = 13

Answer:

323 feet

Step-by-step explanation:

909-586=323

Answer:

1. 156 2. 84 3. 74

Step-by-step explanation:

1. b x h. 8 x 8 is every side on the square so one side is 64 and the one behind it is 64 also which is 128 and since that is the case with the other sides its 128 + 128 = 156

2. 1/2 x b x h = 1/2 x 4 x 3 = 6 x 2 because of the side behind it that is the same = 12. 6 x 5 = 30; 6 x 4 = 24; 6 x 3 = 18. 12 + 30 + 24 + 18 = 84

3. b x h. 2.5 x 2 = 5 x 2 because of the other side = 10; 7 x 2.5 = 17.5 x 2 = 35; 7 x 2 = 14 x 2 = 28. 10 + 35 + 28 = 76

Answer:

4.5 pounds of candy y

5.5 pounds of candy x

Step-by-step explanation:

Given

Let x and y represent the two candies

[tex]x + y = 10[/tex] --- the sum of both candies

[tex]2x + 4y =29[/tex] ---- the worth of candies

Required

The pound of each

[tex]x + y = 10[/tex]

Make x the subject

[tex]x = 10 - y[/tex]

Substitute [tex]x = 10 - y[/tex] in [tex]2x + 4y =29[/tex]

[tex]2(10 - y) + 4y = 29[/tex]

Open bracket

[tex]20 - 2y + 4y = 29[/tex]

[tex]20 + 2y = 29[/tex]

Collect like terms

[tex]2y = 29 - 20[/tex]

[tex]2y = 9[/tex]

Solve for y

[tex]y = 9/2[/tex]

[tex]y = 4.5[/tex]

Recall that: [tex]x = 10 - y[/tex]

[tex]x = 10 - 4.5[/tex]

[tex]x = 5.5[/tex]

Answer: speed is  540 km/h

Step-by-step explanation:   Lets mark speed as v.

Because distenace is same, you can mark   6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions :   10 h / 6 h  =  v / 900 km/h  .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v   ,which gives   10 v = 6 · 900 km/h

and result is same

Answer:

[tex]g(f(x)) = x^{[2]} +[-1][/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) =x -1[/tex]

Required

[tex]g(f(x))[/tex]

We have:

[tex]g(x) =x -1[/tex]

Replace x with f(x):

[tex]g(f(x)) = f(x) -1[/tex]

Substitute [tex]f(x) = x^2[/tex]

[tex]g(f(x)) = x^2 -1[/tex]

Hence:

[tex]g(f(x)) = x^{[2]} +[-1][/tex]

Answer:

3

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]y = a(b)^x[/tex]

In which a is the value of y when x = 0.

In this question:

When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.

Answer:

A. Bin(40,0.65)

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a cell phone, or they do not. The probability of an adult having a cell phone is independent of any other adult having a cell phone. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In function of its parameters, the distribution is written as: Bin(n,p).

The proportion of adults who own a cell phone in a certain Canadian city is believed to be 65%

This means that [tex]p = 0.65[/tex]

Forty adults are to be selected at random from the city.

This means that [tex]n = 40[/tex].

Thus, we have Bin(40,0.65), and the correct answer is given by option A.

Answer:

2.7>217/100

Step-by-step explanation:

Answer:

The line equation is Y=(1/2)x+2

Step-by-step explanation: Start with the standard from: y=mx+b

Find the slope, or change in the y value divided by change in the x value.

For this graph the slope is 1/2 meaning the y value goes up once every time the x value goes up two. this is represented by the m value

Now we need to find the y intercept, or where the graph passes through the y intercept, this is represented by b

We find the intercept by inserting a point n the line into our equation and solving for b:

Point: (2,3) Equation: y=(1/2)x+b

3=(1/2)2+b

3=1+b

-1  -1

2=b

Answer:

360cm²

Step-by-step explanation:

If the formula in the question is correct (S.A. = 40r²) then you just have to change r for r value:

40 * 3² = 40 * 9 = 360cm²

Hope it helps .

Answer:

statistical is the right one:)

Answer:

Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.

Step-by-step explanation:

In the picture.

Answer:

9.09, 309.09

Step-by-step explanation:

Year1 300x.01=3. Balance is 303/(300+3)

Year2 303x.01=3.03 balance is 306.03

Year3 306.03x.01=3.06 balance=309.09

Answer:

Interest earned = $9

Balance after 3 years = $309

Step-by-step explanation:

For simple interest, the formula is I = PRT, where I is the interest earned or paid, P is the principal amount borrowed/deposited, R is the rate as a decimal, and T is the time in years.

I = PRT

I = (300)(0.01)(3)

I = 9

Add that to the amount deposited to start, and you have the balance aftere 3 years. $300 + 9 = $309

Answer:

7,329.60m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

r is the radius

h is the height

Given

r = 19.3m

h = 18.8m

Substitute

V = 1/3 * 3.14 * 19.3² * 18.8

V = 21,988.82968/3

V = 7,329.6 cubic meter

Hence the volume of the cone to neatrest tenth is 7,329.60m³

Answer:

Step-by-step explanation: