It's too short. Write at least 20 characters to get a great answer.It's too short. Write at least 20 characters to get a great answer.

Answer:

x = 6º

Step-by-step explanation:

120º = 15(x +  2)

 120 = 15x + 30

  15x = 120 - 30

  15x = 90

      x = 90/15

      x = 6º

The measure of x is 6°, which corresponds to option B: x = 6, using the property of parallel lines.

We can observe that the given lines are parallel cut by a transversal.

So, the angles 120° and 15(x + 2) are alternate exterior angles which are equal.

So, 120° = 15(x + 2)

To find the value of x:

1. Start by isolating the variable x on one side of the equation.

  Subtract 30 from both sides to move the constant term to the other side:

  120° - 30° = 15(x + 2) - 30°

2. Simplify the equation:

  90° = 15(x + 2)

3. Now, divide both sides of the equation by 15 to solve for x:

  (90°) / 15 = (15(x + 2)) / 15

4. Calculate:

  90° / 15 = 6°

So, x = 6°.

Therefore, the correct answer is: B. x = 6.

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Answer:

g(-2) = 19

Step-by-step explanation:

g(x) = x ^2 - 2x + 11,

Let x= -2

g(-2) = (-2)^2 -2(-2) +11

         = 4 +4 +11

          =19

Answer:

-2

Step-by-step explanation:

Answer:

5 = T

8 = C

3 = V

3 = O

which means its other because it said it is not a car, truck or van so its other meaning O

O = other

Answer: O

Step-by-step explanation: Theirs really nothing to it just pay attention to the hint :)

Answer:

3/19

Step-by-step explanation:

Gradpoint

Answer:

x = 66

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360 degrees

103+133+58+x = 360

Combine like terms

294+x = 360

Subtract 294 from each side

294+x-294 = 360-294

x = 66

Answer:

1

Step-by-step explanation:

because one pizza is cut into 8 so

1 piece would be even

=1

The amount of pizza received by each person is 0.125.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The number of pizza is 1.

And, the total number of people is 8.

Now, the share of each people can be obtained as follows,

Consider that each people get the equal share.

The arithmetic operation used in this case is division.

Then, the problem can be solved by dividing 1 by 8 as follows,

⇒ 1 ÷ 8 = 1/8 = 0.125

The result of the division is a decimal number which shows that the amount of pizza for each people is the smallest part less than the whole.

Hence, the share of pizza received by each person is 0.125.

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Look at the attached picture z

⤴

Hope it will help u...

Answer:What?

Step-by-step explanation:

Answer:

v= 205.3

Step-by-step explanation:

The formula to solve a pyramid is v=(l*h*w)/3.

11*7*8=616

616/3=205.333.... (repeating 3)

about 205.3

~sorry I couldn't draw it out~

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

The question in English:

Every day Luna uses 12 half-liter watering cans to water her garden. How many liters of water does she use per day?

Answer:

Español:

Luna utiliza 6 litros de agua al día.

¡Espero que esto ayude!

English:

Luna uses 6 liters of water a day.

Hope this helps!

The amount water used by Luna is equivalent is 6 liters.

Water is a tiny molecule. It consists of three atoms : two of hydrogen and one of oxygen. Water molecules cling to each other because of a force called hydrogen bonding.

Given is that every day, Luna uses 12 half-liter watering cans to water her garden.

The amount water used by Luna is equivalent to -

A{w} = 1/2 x 12

A{w} = 6 liters

Therefore, the amount of water used by Luna is equivalent is 6 liters.

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{Question in english -

Every day, Luna uses 12 half-liter watering cans to water her garden. How many liters of water she use per day?}

Answer:

D

Step-by-step explanation:

Answer:

x = 29.1m

Step-by-step explanation:

X= 71       x =

Y =          y = 28.2 m

Z =          z = 20.9 m

[tex]x^{2} = y^{2} + z^{2} - 2yz cos x\\(28.2 )^{2} + (20.9)^{2} - 2(28.2 )(20.9) cos (71)\\795.24 + 436.81 - 1178.76cos(71)\\1232.05 - 1178.76 cos (71)\\{1232.05-383.767}\\\\\sqrt{x^{2} } = \sqrt{1232.05 - 383.767}\\ x = 29.1[/tex]

Answer:

v = 3

Step-by-step explanation:

7(v - 3) + 7v = 21

distribute the 7 into the parentheses

7v -21 +7v = 21

combine like terms

14v - 21 = 21

add 21 on both sides

14v + 21 - 21 = 21 + 21 which equals 14v = 42

divide both sides by 14 to isolate v

14v/14 = 42/14

v = 3

hope this helps :)

Answer:

6

Step-by-step explanation:

If there was one man, he would have taken 15×4= 60 hours

To complete the job in 10 hours, 60÷10 = 6 men will be needed

To paint the room in 10 hours instead of 15, the calculation shows that 6 men would be needed. This is determined through the concept of work rate and inverse proportions, calculating the total man-hours and then dividing by the desired hours.

The question involves determining the number of men needed to paint a room in 10 hours, given it takes 15 hours for 4 men to paint the same room. This problem can be solved using the concept of work rate and inverse proportions, which is a common method in Mathematics to deal with time and work problems. First, we calculate the work rate of the 4 men together and then find how many men would be needed to complete the job in 10 hours at a proportional rate.

Calculation steps:

Therefore, 6 men would be needed to paint the room in 10 hours.

Answer:

95% confidence interval for the difference in population proportions of couples with children and with no children is [0.00134 , 0.219].

Step-by-step explanation:

We are given that an aquarium manager wants to study gift shop browsing.

She randomly observes 120 couples that visit the aquarium with children and finds that 107 enter the gift shop at the end of their visit. She randomly observes 76 couples that visit the aquarium with no children and finds that 59 enter the gift shop at the end of their visit.

Firstly, the pivotal quantity for 95% confidence interval for the difference between population proportions is given by;

                     P.Q. =  [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of couples that visit the aquarium with children who enters the gift shop at the end of their visit = [tex]\frac{107}{120}[/tex] = 0.89

[tex]\hat p_2[/tex] = sample proportion of couples that visit the aquarium with no children who enters the gift shop at the end of their visit = [tex]\frac{59}{76}[/tex] = 0.78

[tex]n_1[/tex] = sample of couples that visit the aquarium with children = 120

[tex]n_2[/tex] = sample of couples that visit the aquarium with no children = 76

Here for constructing 95% confidence interval we have used Two-sample z proportion statistics.

So, 95% confidence interval for the difference between population proportions,  is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                     of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] < [tex]{(\hat p_1-\hat p_2)-(p_1-p_2)}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] ) = 0.95

P( [tex](\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] < [tex](p_1-p_2)}[/tex] < [tex](\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex] ) = 0.95

95% confidence interval for [tex](p_1-p_2)}[/tex] =

[[tex](\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex],[tex](\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }[/tex]]

= [ [tex](0.89-0.78)-1.96 \times {\sqrt{\frac{0.89(1-0.89)}{120}+ \frac{0.78(1-0.78)}{76}} }[/tex] , [tex](0.89-0.78)+1.96 \times {\sqrt{\frac{0.89(1-0.89)}{120}+ \frac{0.78(1-0.78)}{76}} }[/tex] ]

 = [0.00134 , 0.219]

Therefore, 95% confidence interval for the difference in population proportions of couples with children and with no children is [0.00134 , 0.219].

Answer:

The two-sample t statistic for comparing the population means is -3.053.

Step-by-step explanation:

We are given that the time taken to solve the puzzles was recorded for each subject.

The 21 subjects in the red-colored environment had a mean time for solving the puzzles of 9.64 seconds with standard deviation 3.43; the 21 subjects in the blue-colored environment had a mean time of 15.84 seconds with standard deviation 8.65.

Let [tex]\mu_1[/tex] = average time taken to solve the puzzle in red-colored environment.

[tex]\mu_2[/tex] = average time taken to solve the puzzle in blue-colored environment.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex]      {means that there is no difference in time taken to solve both the puzzles}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex]      {means that there is difference in time taken to solve both the puzzles}

The test statistics that would be used here Two-sample t test statistics as we don't know about the population standard deviation;

                     T.S. = [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex]   ~ [tex]t__n_1_-_n_2_-_2[/tex]

where, [tex]\bar X_1[/tex] = sample average time for solving the puzzles in the red-colored environment = 9.64 seconds

[tex]\bar X_2[/tex] = sample average time for solving the puzzles in the blue-colored environment = 15.84 seconds

[tex]s_1[/tex] = sample standard deviation for red-colored environment = 3.43 seconds

[tex]s_2[/tex] = sample standard deviation for blue-colored environment = 8.65 seconds

[tex]n_1[/tex] = sample of subjects in the red-colored environment = 21

[tex]n_2[/tex] = sample of subjects in the blue-colored environment = 21

Also,  [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex]  =  [tex]\sqrt{\frac{(21-1)\times 3.43^{2}+(21-1)\times 8.65^{2} }{21+21-2} }[/tex] = 6.58

So, test statistics  =  [tex]\frac{(9.64-15.84)-(0)}{6.58 \sqrt{\frac{1}{21}+\frac{1}{21} } }[/tex]  ~ [tex]t_4_0[/tex]

                               =  -3.053

The value of two-sample t test statistics is -3.053.

Answer:

Yes, hypertension drugs lowers blood pressure.

Step-by-step explanation:

Claim: The hypertension medicine lowered blood pressure.

The null and alternative hypothesis is

H0:\mu_{d}\geq 0

H1:\mu_{d}< 0

Level of significance = 0.05

Sample size = n = 13

Sample mean of difference = \bar{d} = 10.1

Sample standard deviation of difference = s_{d} = 11.2

Test statistic is

t=\frac{\bar{d}}{s_{d}/\sqrt{n}}

t = ((10.1) / (11.2 /squre root of 13)) = 3.251

Degrees of freedom = n - 1 = 13 - 1 = 12

Critical value =2.179( Using t table)

Test statistic | t | > critical value we reject null hypothesis.

In Conclusion: The hypertension medicine lowered blood pressure

Answer:

66 million

Step-by-step explanation:

4 million on 70 million is 66 million

Answer:

17.5

Step-by-step explanation:

hope we can be friends

can i please get brainliest

Answer:

7 yards

Step-by-step explanation:

252/12=21 21/3=7

Answer:

Step-by-step explanation:

The initial function is

[tex]y=(x-1)^{2} -3[/tex]

The transformed function is

[tex]y=5(x+4)^{2}[/tex]

Notice that the first function represents a parabola with vertex at (1, -3), and the secong function represents a parabola with vertex at (-4, 0). That means the function was shifted three units up and 5 units to the left. Additionally, the function was compressed by a scale factor of 5, because that's the coffecient of the quadratic term.

Therefore, the right answer is the first choice.

Answer:

A.

Step-by-step explanation:

The graph is translated left 5 units, compressed vertically by a factor of One-half, and translated up 3 units.

Answer:

C = 15

Step-by-step explanation:

Let A = # of adults and C = # of children.

A +  C = 20

15A + 10C = 225

There are several ways to solve this system; here is one of them.

From the first equation: C = 20 - A

Substitute into the second equation: 15A + 10(20 - A) = 225

Multiply, collect terms, and subtract 200 from each side: 5A = 25 => A = 5

Since C = 20 - A, C = 15

The number of children's ticket bought is 15 and the number of adult tickets bought is 5.

The system of equations that can be derived from the question are:

a + b = 20 equation 1

15a + 10b = 225 equation 2

Where:

a = number of children's ticket bought

b = number of adult tickets bought

In order to determine the value of b, multiply equation 1 by 15.

15a + 15b = 300 equation 3

Subtract equation 2 from 3

5b = 75

b = 15

In order to determine the value of a, substitute for b in equation 1

a + 15 = 20

a = 20 - 15

a = 5

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Answer:

6 Chili / 3 cream cheese = 2  Timeschilli compared to cream cheese.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

There are 6 for chilli and 3 for cream cheese.

3 *2 is 6, there fore it is 2 times as much

Hope this is helpful! :)

Answer:

11

Step-by-step explanation:

:):

Answer:

Domain: all real values

Step-by-step explanation:

f(x)=(x+1)^2

The domain is the values for x

We can use any value for x in the equation

Domain: all real values

Answer:

All real values of x

Step-by-step explanation:

f(x) = (x + 1)² is defined for all x

Hence the domain includes all real values of x

Answer:

The null hypothesis is that the most important goal and gender are independent, and the alternative is that they are dependent.

Step-by-step explanation:

Chi Square test is used to test relationship between categorical (nominal) variables of a population. Eg : Testing men & women  for any attribute, lets say empathy

Eg : Null hypothesis states that there is no difference of empathy level in men & women. Alternate Hypothesis states that there is difference of empathy level in men & women.

Answer:

The expected value of X is 13.4.

Step-by-step explanation:

For each boox any time a ball is placed, there are only two possible outcomes. Either the ball is put into the box, or it is not. The boxes are independent. So 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.

200 balls placed in boxes:

This means that [tex]n = 200[/tex]

For each box, the ball has 1/100 probability of being put there:

This means that [tex]p = \frac{1}{100} = 0.01[/tex]

The probability of a box being empty:

This is P(X = 0).

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

[tex]P(X = 0) = C_{100,0}.(0.01)^{0}.(0.99)^{200} = 0.1340[/tex]

Let X denote the number of empty boxes at the end. What is the expected value of X?

Each box has a 0.1340 probability of being empty at the end.

There are 100 boxes.

So

0.1340*100 = 13.4

The expected value of X is 13.4.

Answer:

C. The population must be normally distributed.

Step-by-step explanation:

Population distribution have to do with the classification of people living in a particular geographical area into different segment such as Age, Occupation, Sex, Geographical location.

For instance

If Age distribution is use, the total number of people living in say New york will classified into 0-10 11-19years 20-29years and so on

Sex distribution involves distribution into the male and Female Category

Occupation distribution of Population involves classification of occupant of an area according to their Job.. I.e.Drives-15 people, Lawyer =2 people and so on.

Geographical location distribution of population involves the classification of people living in a particular country according to their geographical names. I.e. Abuja=3.5million people etc.

The requirements on the distribution of the population can vary depending on the analytical methods being used. Some methods require the population to be normally distributed, while others, such as those based on the Central Limit Theorem, can work reliably with large sample sizes regardless of whether the population is normally distributed.

In the field of statistics, when you are drawing conclusions or inferences from a dataset (sample), there are different requirements depending on the method used. Generally speaking, the assumption about the distribution of the population can vary.

For instance, if you are using methods based on the Central Limit Theorem (CLT), you might not require the population to be normal if your sample size is sufficiently large, as per option D. This is because the CLT states that if the sample size is large enough, the distribution of the sample means will approximate a normal distribution, regardless of the shape of the population distribution.

However, some analytical methods might require the population to be normally distributed for the method to produce reliable results. So, although there is not a one-size-fits-all answer, the requirements on the distribution of the population depend largely on the analytical methods being used.

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Answer: 3

Step-by-step explanation:

Answer: I am pretty sure it is 3 but I apologize if it is incorrect.

Step-by-step explanation:

Answer:

(About) 20043.46 after 14 years

Step-by-step explanation:

~ Let us apply a compound interest formula not through substituting values, but through a similar way of following this formula ~

1. First let us assign the values:

interest ⇒ 6.5 percent ( % ), principle number - start value ⇒ $ 8300, time ⇒  14 years

2. Now let us convert interest ⇒ decimal form: 0.065

3. Add 1 to this value 0.065 ⇒ 1 + 0.065 = 1.065

4. Now let us take 1.065 exponentially to the power of itself 14 times, or in other words to the power of time ( 14 years ): 1.065^ 14 = 2.414874185.......

5. Multiply this infinite number by the principle number P, or most commonly known as the start value: 2.414874185....... * 8300    ⇒    

(About) 20043.46 after 14 years

Using the formula for compound interest and substituting accordingly, the given investment grows to approximately 18,108.80 dollars after 14 years.

To solve this, we'll use the formula for compound interest, which is P(1 + r/n)^(nt), where P is the principle amount (initial investment), r is the annual interest rate, n is the number of times that interest is compounded per unit t, and t is the time the money is invested for.

In this case, P = 8300 dollars, r = 6.5/100 = 0.065 (we need the rate in decimal form), n = 1 (since the interest is given annually), and t = 14 years.

Substitute these values into the formula:

A = 8300(1 + 0.065/1)^(1*14) which simplifies to A = 8300(1.065)^14.

Using a calculator, A ≈ 18,108.80 dollars. So, after 14 years, the account will have approximately 18,108.80 dollars.

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Answer:

An ISOSCELES TRIANGLE

Step-by-step explanation:

Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.

Distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

For side |AB|:

A(-5, 4) and B(4, 1)

|AB| = √(4-(-5))²+(1-4)²

|AB| = √9²+3²

|AB| = √90

For side |BC|

B(4, 1), and C(1, -8)

|BC| =√(1-4)²+(-8-1)²

|BC| = √3²+9²

|BC| = √90

For side |AC|:

A(-5, 4) and C(1, -8).

|AC| = √(1-(-5))²+(-8-4)²

|AC| = √6²+12²

|AC| = √36+144

|AC| = √180

Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.

Answer:

x^2+8x+16

(x+4)^2

Step-by-step explanation:

x^2 +8x

Take the coefficient of the x term

8

Divide by 2

8/2 =4

Square it

4^2 =16

x^2+8x+16

We can factor it into

(x+8/2) ^2

(x+4)^2

Final answer:

Completing the square for the expression x² + 8x involves adding and subtracting 16 to form the perfect square trinomial (x + 4)² and then subtracting 16. The factored form of the resulting trinomial is (x + 4)² - 16.

Explanation:

To complete the square for the expression x² + 8x, we need to find a number that, when added to 8x, will make the expression a perfect square trinomial. The number we're looking for is ²⁄8², which is 16. So, we add and subtract 16 within the expression to maintain equality.

The expression becomes x² + 8x + 16 - 16. Now the first three terms form a perfect square trinomial (x + 4)², and we still have -16. The expression is (x + 4)² - 16.

To factor the trinomial, we write it as the square of a binomial: (x + 4)². Hence, the expression x² + 8x can be written as (x + 4)² - 16, which is the factored form of the trinomial resulting from the completion of the square.