Which of the following are true statements about any regular polygon? Check all that apply.​

Answer:

$37.80

Step-by-step explanation:

Add the cost of the 2 video games together to get 77.85

Subtract 77.85 from the total, $115.65

$37.80

Hope this helps :-)

6(5-x) - 14 = 4

open the parenthesis

30 - 6x - 14 = 4

Re-arrange

30 - 14 - 6x = 4

16 - 6x = 4

subtract 16 from both-side of the equation

-6x = 4 - 16

-6x = -12

Divide both-side of the equation by -6

x = 2

The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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The solution set is W = Span{(1,0)}.

For problem 1(a), to find a basis for H, we need to first simplify the set of vectors. Combining like terms, we get:

H = {(-2a + 3b + 40), (3a + 12b + 13c), (2a + 2b + 2c)}

To find a basis, we need to check if the vectors in H are linearly independent. One way to do this is to set up an augmented matrix with the vectors as columns and row reduce to see if any row becomes all zeros except for the rightmost entry.

⎡-2 3 2⎤ ⎡1⎤
⎢3 12 2⎥ ⎢2⎥
⎣40 13 2⎦ ⎣3⎦

Row reducing, we get:

⎡1 0 0⎤ ⎡(-5/6)⎤
⎢0 1 0⎥ ⎢(1/2)⎥
⎣0 0 1⎦ ⎣(-1/6)⎦

Since we get a pivot in every row, the vectors are linearly independent and form a basis for H.

For problem 1(b), W = Span{(1,0)}. To find a set of homogeneous equations with solution set W, we set up a system of equations with the vector (1,0) as the coefficients:

x = 0

This gives us the homogeneous equation x = 0, which has solution set W = Span{(1,0)}.

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer:

the 4th one

I think

f(x) is an exponential function whose output increases exponentially as the input increases, while g(x) is a linear function whose output increases in a constant rate as the input increases.

f(x) is an exponential function, meaning that the output increases exponentially as the input increases. In the table, when x is 1, the output is 3, when x is 2, the output is 9, and when x is 3, the output is 27. This shows that the output increases exponentially as the input increases.

On the other hand, g(x) is a linear function, meaning that the output increases in a constant rate as the input increases. For example, if Darya has been jogging for 1 hour, she will be 2 miles east of home, and if she has been jogging for 2 hours, she will be 7 miles east of home (5 miles per hour x 2 hours). This shows that her distance away from home increases in a constant rate as the input (time) increases.

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Answer:

C {14,47,50}

Step-by-step explanation:

For it to be a right triangle it would have to be {14,48,50}

Hope this helps

Answer:

I believe it is 9ft

Step-by-step explanation:

Answer:

Answer is option d mark as brainiest give 100 point

Let's solve the problem using the signed-rank test:

Step 1: The null hypothesis (H₀) is that the median waiting time is 20 minutes or less, and the alternative hypothesis (H₁) is that the median waiting time is more than 20 minutes.

Step 2: Calculate the differences between each observation and the hypothesized median of 20 minutes, and assign ranks to the absolute values of the differences:

Observation: 17 15 20 20 32 28 12 26 25 25 35 24

Difference: -3 -5 0 0 12 8 -8 6 5 5 15 4

Rank: 3 4 5 5 8 6 2 7 9 9 12 1

Step 3: Calculate the sum of positive ranks (W⁺) and the sum of negative ranks (W⁻):

W⁺ = 8 + 6 + 7 + 9 + 9 + 12 = 51

W⁻ = 3 + 4 + 5 + 5 + 8 + 2 = 27

Step 4: Determine the test statistic (T) as the smaller of W⁺ and W⁻:

T = min(W⁺, W⁻) = min(51, 27) = 27

Step 5: Find the critical value or calculate the p-value based on the significance level (0.05) and test statistic (T):

For a sample size of 12 and a significance level of 0.05, we can consult a signed-rank test table to find the critical value. In this case, the critical value is 8. Since T (27) is greater than the critical value (8), we reject the null hypothesis.

Step 6: Make a decision: We have sufficient evidence to conclude that the median waiting time for the patients is more than 20 minutes.

In summary, based on the signed-rank test, we reject the doctor's claim that the median waiting time for her patients is not more than 20 minutes before being admitted to the examination room.

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Answer:

What is a biased sample? How can biased sampling affect the statistical study of a

population?

Answer:

less than and less than

Step-by-step explanation:

i got it right on khan academy

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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Answer:

5(7v+3)

Step-by-step explanation:

Look for what both terms have in common and factor that

35v  + 15

Rewrite 35 as 5*7 and 15 as 5*3

5*7v + 5*3

Both terms have in common 5 so will factor it out

 5(7v+3)

Answer:

10.98 (approximately)

if you wan the exact answer, type into the google search bar:

"sqrt 119"

Step-by-step explanation:

in a right triangle, the longest leg is called the hypotenuse. To find the missing side, you need to use the Pythagorean theorem.

"a^2+b^2=c^2"

c = the hypotenuse

a and be are the other legs.

plug in the numbers.

5^2+b^2 = 12^2

25 + b^2 = 144

b^2 = 119

b = 10.98 (approximately)

Answer:

Range = 5, Median = 9, Mode = 7

Step-by-step explanation:

First, we put them in order from least to greatest.

So its 7, 7, 7, 8, 10, 11, 12, 12

The range is the largest number minus the smallest number, so 12-7=5. The range is 5.

The median is the number in the middle, so we cross off numbers from both sides. That leaves us with 8 and 10. The number between them is 9, so the median is 9. (the actual process to find the median if there's 2 numbers in the middle is by adding them together and dividing them by 2)

The mode is just which number appears the most often. So 7 is the mode.

The measures of the angles are: 64°  and 26°.

Recall: Two angles are complement of each other if they add up to the sum of 90° .

Thus,

Let \(x\) represent the first angle

The second angle = \((x-38)^{o}\)

Therefore:

\(x + (x - 38) = 90\)

Solve for x

\(x + x - 38 = 90\\2x - 38 = 90\\2x - 38 + 38 = 90 + 38\\2x = 128\\x = 64\)

The first angle, x, is 64°

The second angle = \(x - 38\)

Plug in the value of x

\(= 64 - 38\\= 26\)

Therefore, the measures of the two angles are 64°  and 26°

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Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.

Let P be the principal amount of $7,000

Let r be the annual interest rate of 6%

Let n be the number of compounding periods per year.

Using formula for simple interest: I = Prt, the interest earned after 60 months is:

I = 7,000 × 0.06 × 5

I = $2,100.

Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:

\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)

The interest earned is:

I = A - P

I = $9441.95 - $7,000

I = $2,441.95.

The difference in interest earned between compound and simple interest is:

= $2,441.95 - $2,100

= $341.95.

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Answer:

triagle

Step-by-step explanation:

it is tringle because because this pattern other is tall and other is short it gona be isocelese triagle

Answer:

5

Step-by-step explanation:

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

3x+9=24

3x=15

x=5

Hope this helps :)

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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Answer:I think its p

Step-by-step explanation:

Answer:

10% will be the answer

Step-by-step explanation:

Answer:

a couple different obes

Step-by-step explanation:

there are five

(a) The GPA for those with verbal SAT scores of 600 is: 3.097

(b) The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

a. Estimate the average GPA for those with verbal SAT scores of 600.

The regression line relating verbal SAT scores and college GPA for the data exhibited in Figure 3.12 is y = 0.275 + 0.00362x.

The GPA for those with verbal SAT scores of 600 is:

y = 0.275 + 0.00362(600)

= 3.097

b. Explain what the slope of 0.00362 represents in terms of the relationship between GPA and SAT.

The slope of 0.00362 represents the average change in the college GPA that is associated with a one-unit increase in the verbal SAT score

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