how far can light travel in 7 minutes I NEED HELPPPP

Step-by-step explanation:

The statement is true, because when we multiply or divide both sides of an inequality by the same negative number we reverse the inequality symbol.

A relation by which we can compare two or more mathematical expression is called an inequality.

Let an example of the inequality as;

⇒ 2x < 3

Multiply by - 1, we get;

⇒ - 2x > - 3

Thus, When we multiply or divide both sides of an inequality by the same negative number we reverse the inequality symbol.

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This simplifies to x = 11. Therefore, Dante has 11 candies.

Let's represent the number of candies Dante has as "x". According to the problem, Jessica has three fewer candies than twice the number Dante has. So we can write the equation: 2x - 3 = 19. Solving this equation, we find that Dante has 11 candies.

Let's break down the information given in the problem. We are told that Jessica has three fewer candies than twice the number Dante has. We can represent the number of candies Dante has as "x".

If we multiply this by 2, we get twice the number Dante has, which is 2x. Then, if we subtract 3 from 2x, we get the number of candies Jessica has. We are also given that Jessica has 19 candies. So, we can write the equation 2x - 3 = 19.

To solve this equation, we can add 3 to both sides to isolate 2x on one side: 2x - 3 + 3 = 19 + 3. Simplifying this equation gives us 2x = 22. To solve for x, we divide both sides by 2: (2x)/2 = 22/2. This simplifies to x = 11. Therefore, Dante has 11 candies.

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Answer:

Step-by-step explanation:

Answer:

311.36

Step-by-step explanation:

For  a geometric series sum of first n terms is \(a(1-r^n)/(1-r)\)

if r is less than 1.

where a is the first term and r is the common ratio.

____________________________\

given

a = 108

r = \(\frac{2}{3}.\)

n = 8

thus , sum of n term is

\(a(1-r^n)/(1-r)\\=>108(1-(2/3)^8)/(1-2/3)\\=> 108 (1 - 256/6561)/1/3\\=> 108(6561-256)/ 6561/1/3\\=> 108(6305)/2187\\=>311.36\)

Thus sum of first 8 terms is 311.36

a) "Revenue" refers to the income generated by the car dealer from car sales, and "expenditure" refers to the advertising spending. In this context, R=f(a) implies that the revenue (R) is a function of advertising expenditure (a), with both values measured in thousands of dollars.

b) f(10)=50 means that when the car dealer spends 10 thousand dollars on advertising, their revenue is 50 thousand dollars.

c) f'(10)=2 indicates that when the advertising expenditure is at 10 thousand dollars, an additional 1 thousand dollars spent on advertising will increase the car dealer's revenue by approximately 2 thousand dollars.

d) f(9.8) represents the car dealer's revenue in thousands of dollars when they spend 9.8 thousand dollars on advertising.

Based on the information provided, we can conclude that the revenue (R) of a car dealer is a function (f) of their advertising expenditure (a). Both R and a are measured in thousands of dollars.

Part (a) tells us that if the car dealer spends 10 thousand dollars on advertising (a = 10), their revenue will be 50 thousand dollars (R = 50). This means that f(10) = 50.

Part (b) gives us the derivative of the function f with respect to a. Specifically, it tells us that for every increase of $1,000 from an advertising expenditure of 10 thousand dollars, the dealer's revenue increases by about 2 thousand dollars. This can be written as f'(10) = 2.

Finally, part (c) asks us to find an approximate value for f(9.8). Since we don't have the exact functional form of f, we can't solve this exactly. However, we can make an estimate using the information we have.

From part (b), we know that f'(10) = 2, which means that the dealer's revenue increases by 2 thousand dollars for every 1 thousand dollar increase in advertising expenditure. So, if the dealer spends 9.8 thousand dollars on advertising, we can estimate that their revenue will be:

f(9.8) ≈ f(10) + (9.8 - 10) * f'(10)
f(9.8) ≈ 50 + (-0.2) * 2
f(9.8) ≈ 49.6

Therefore, an approximate value for f(9.8) is 49.6 thousand dollars.

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The correct option is: "Univariate analysis involves the analysis of a single variable."

The following statement is true with regards to statistical analysis:

Univariate analysis involves the analysis of a single variable.

The other statements are not entirely accurate:

Bivariate analysis is a form of multivariate analysis that examines the relationship between two variables, but multivariate analysis can involve more than two variables.

Regression analysis is a multivariate analysis technique that examines the relationship between one dependent variable and one or more independent variables.

Multivariate analysis involves the examination of the relationship between two or more variables, not necessarily one, two, or more.

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The number of adult tickets sold more than the children's tickets are 65.

It is given in the question that the charge of an adult ticket and a children's ticket is $8 and $6 respectively.

It is also given that, on a certain day the number of tickets sold are 255 at a total cost of $1,850.

We have to find the number by which children's ticket were sold more than adult tickets.

Let the number of children tickets sold on that particular day be x.

Let the number of adult tickets sold on that particular day be y.

Hence, according to the question,

x + y = 255  ...(1)

Also,

6*x + 8*y = 1850

Dividing 2 from both sides, we get

3x + 4y = 925  ...(2)

Multiplying (1) by 3, we get

3x + 3y = 765  ...(3)

(2) - (3)

(3x - 3x) + (4y - 3y) = 925 - 765

0 + y = 160

y = 160

Hence, the number of adult tickets sold are 160.

We know that,

x + y = 255

Hence,

x + 160 = 255

x = 255 - 160

x = 95

Hence, the number of children's tickets sold are 95.

The number of adult tickets sold more than the children's ticket are =

160 - 95 = 65 tickets.

Answer:

13, 3, 7. you are using a square root any calculator can do this :)

Answer:

10) is 13

Step-by-step explanation:

11) is 3

12) is 3.464

the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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The number of complete rotations that the clothe dyer can make within the given amount of time would be = 5,940 rotations.

A clothe dryer is defined as the electrical electronic instrument that contains a rotary device which spins at a particular rate per minute.

The spinning rate of the clothe dryer = 4.5/sec

The given time = 22 minutes

But 1 minute = 60 seconds

If 4.5 rotations.= 1 second

.X rotations = 60 seconds

make X rotations the subject of formula;

X rotations = 4.5 × 60 = 270 rotations/ minute.

If 270 rotations = 1 minute

X rotations = 22 minutes

make X rotations the subject of formula;

X rotations = 270 × 22

= 5,940 rotations.

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The correct options are:

1) the triangle is isosceles.

2) the leg-to-hypotenuse ratio is 1:√2  

3) the non-right angles are congruent.

4) the ladder represents the longest length in the triangle.

For given question,

the length of the ladder is 12 feet.

the distance from the wall to the base of the ladder is 6√2 feet

Let x be the height of the wall.

Using Pythagoras theorem,

⇒ x² + (6√2)² = 12²

⇒ x² = 72

⇒ x = 8.5 ft

So, the triangle is right triangle.

Here, the hypotenuse = 12 ft

And, the leg-to-hypotenuse ratio is,

6√2 : 12 = 1:√2

We know that the right triangle is an isosceles triangle.

Since the right triangle is an isosceles  triangle, the non-right angles are congruent.

We know that, the hypotenuse is the longest length in the triangle.

So, the ladder represents the longest length in the triangle.

Therefore, the correct options are:

1) the triangle is isosceles.

2) the leg-to-hypotenuse ratio is 1:√2  

3) the non-right angles are congruent.

4) the ladder represents the longest length in the triangle.

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Answer:

1, 2, 4, and 5

Step-by-step explanation:

Edge 2022

Answer:

the answer of this question is 0

A. First, convert this equation into y-intercept form

y = 2x + 1

B. 2 is the slope: 1 is the y-intercept

Then, plug in 1 for y and solve

C. 1 = 2x + 1

Therefore, x is 0

The probability is that two random professionals will be chosen, and the first of their IQs is greater than 115 and the second is between 115 and 130.

To find this probability, we need to consider the independence of the IQs of different professionals. This means that the outcome of one professional's IQ does not affect the outcome of another professional's IQ:

1. The probability that the first professional's IQ is greater than 115: let's assume that the probability of the first professional's IQ being greater than 115 is p1.

2. The probability that the second professional's IQ is between 115 and 130: for the distribution of IQs, let's assume that the probability of the second professional's IQ being between 115 and 130 is p2.

Since the IQs of the professionals are independent events, we can multiply the probabilities of the two events happening together to find the overall probability. Therefore, the probability that both events occur is p1 * p2.

To calculate the final probability, we need specific values for p1 and p2, which are not provided in the question. However, we can illustrate the concept using an example:
For example, if p1 is 0.6 (60% chance) and p2 is 0.3 (30% chance), then the probability of both events occurring is 0.6 * 0.3 = 0.18 or 18%.

In conclusion, the probability that two random professionals will be chosen, and the first of their IQs is greater than 115 and the second is between 115 and 130 depends on the specific values of p1 and p2.

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The equation of sphere is (x -1 )^{2}  + (y - 2 )^{2}  + (z+3 )^{2}  = 14.

According to the statement

we have to find the equation of the sphere which passes through the a(1,2,-3), with center b (2,4,0).

So, For this purpose, we know that the

Sphere is In analytical geometry, if “r” is the radius, (x, y, z) is the locus of all points and \((x_{0} , y_{0} , z_{0})\)

is the center of a sphere, then the equation of a sphere is given by: \((x -x_{0} )^{2} + (y - y_{0} )^{2} + (z-z_{0} )^{2} = r^{2}\).

So, Here from given equation

The sphere that passes through a(1,2,-3), with center b (2,4,0).

here the locus point is a(1,2,-3).

The radius of sphere is

\(Radius = \sqrt{(1-2)^{2} + (2-4)^{2} + (-3-0)^{2} } \\Radius = \sqrt{(1 + 4 +9 }\)

So, radius is square root 14.

And then the equation of sphere become

\((x -1 )^{2} + (y - 2 )^{2} + (z+3 )^{2} = 14\).

So, The equation of sphere is (x -1 )^{2}  + (y - 2 )^{2}  + (z+3 )^{2}  = 14.

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Answer:

88 total questions

Step-by-step explanation:

Answer:

88 problems

Step-by-step explanation:

86/0.98 = 87.76 ≈ 88

If f is continous on [a,b], then f attains an absolute maximum value f(c) and absolute minimum value f(d) at some numbers c and d in [a,b] then it is a true statement

What is an absolute maximum?

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

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In this problem, we are given a sample of IQ scores for males and we need to determine whether there is significant evidence to support the researcher's claim that the standard deviation of IQ scores for males is less than 14. We will perform a one-tailed test at a significance level of 0.05 and use appropriate hypothesis testing techniques.

(a) The null hypothesis (H0) states that the standard deviation of IQ scores for males is equal to 14. The alternative hypothesis (H1) states that the standard deviation is less than 14.

H0: σ = 14

H1: σ < 14

(b) We will use a chi-square test statistic to perform the hypothesis test. Specifically, we will use the chi-square distribution with (n - 1) degrees of freedom, where n is the sample size.

(c) The test statistic is calculated as (n - 1) * (s^2) / σ^2, where n is the sample size, s is the sample standard deviation, and σ is the hypothesized population standard deviation. Substituting the given values, we have (17 - 1) * (9^2) / 14^2 ≈ 6.576.

(d) To find the critical value, we need to determine the critical chi-square value corresponding to a one-tailed test at a significance level of 0.05 and (n - 1) degrees of freedom. Consulting a chi-square distribution table, the critical value is approximately 9.488.

(e) We compare the test statistic to the critical value. Since the test statistic (6.576) is less than the critical value (9.488), we fail to reject the null hypothesis. Therefore, there is not significant evidence to support the claim that the standard deviation of IQ scores for males is less than 14.

In conclusion, based on the hypothesis test results, we do not have sufficient evidence to conclude that the researcher's claim is correct.

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Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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Random variables X and Y have the joint PMFPX,Y(x,y) = c|x+y| x=-2,0,2; y=-1,0,1 the answers are: 1. the value of the constant c is 1/12, 2. P[Y=X] = P[X=0, Y=0] = 0, and 3.P[X<1] is equal to 1/2.

1. To find the value of the constant c, we need to ensure that the sum of the joint probabilities over all possible values equals 1.

The given joint probability mass function (PMF) P(X,Y) is:

P(X=-2, Y=-1) = c|-2+(-1)| = c|(-3)| = 3c

P(X=-2, Y=0) = c|-2+0| = c|(-2)| = 2c

P(X=-2, Y=1) = c|-2+1| = c|(-1)| = c

P(X=0, Y=-1) = c|0+(-1)| = c|(-1)| = c

P(X=0, Y=0) = c|0+0| = c|0| = 0

P(X=0, Y=1) = c|0+1| = c|1| = c

P(X=2, Y=-1) = c|2+(-1)| = c|1| = c

P(X=2, Y=0) = c|2+0| = c|2| = 2c

P(X=2, Y=1) = c|2+1| = c|3| = 3c

Summing up these probabilities, we get:

3c + 2c + c + c + 2c + 3c = 12c

For this sum to equal 1, we have:

12c = 1

c = 1/12

Therefore, the value of the constant c is 1/12.

2. To find P[Y|X], we need to calculate the conditional probability of Y given X. Since the PMF is given, we can directly read the values:

P[Y=-1|X=-2] = c|-2+(-1)| = c|(-3)| = 3c = 3/12 = 1/4

P[Y=0|X=-2] = c|-2+0| = c|(-2)| = 2c = 2/12 = 1/6

P[Y=1|X=-2] = c|-2+1| = c|(-1)| = c = 1/12

Similarly, for other values of X, we can calculate the conditional probabilities.

P[Y=X] refers to the probability that Y is equal to X. Looking at the given PMF, we can see that the only case where Y=X is when X=0, as no other values in the PMF have the same value for X and Y.

Therefore, P[Y=X] = P[X=0, Y=0] = 0.

3. Finally, to find P[X<1], we need to sum up the probabilities for all Y values where X<1:

P[X<1] = P[X=-2, Y=-1] + P[X=-2, Y=0] + P[X=0, Y=-1] + P[X=0, Y=0]

      = 3/12 + 2/12 + 1/12 + 0 = 6/12 = 1/2.

Therefore, P[X<1] is equal to 1/2.

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Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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a) The probability that the flight will accommodate all ticketed passengers who showed up is 0.864.
b) The probability that the flight will depart with empty seats is 0.280.
c) The probability that the third person on the stand-by list will be able to take the flight is 0.136.


1. Calculate the expected number of passengers who show up: 338 tickets * 97% = 327.86 ≈ 328 passengers.
2. Use the binomial probability formula to find the probabilities:
  a) P(X <= 335) = P(X = 328) + P(X = 329) + ... + P(X = 335) = 0.864.
  b) P(X < 335) = P(X = 327) + P(X = 328) + ... + P(X = 334) = 0.280.
  c) P(X <= 331) = P(X = 328) + P(X = 329) + ... + P(X = 331) = 0.136.

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Answer:

112 degrees

Step-by-step explanation:

This is a quadrilateral, meaning 4 sides. The sum of the angles of a quadrilateral is 360 degrees. You are given the right angle, or 90 degrees, and the 46 degree angle at the bottom. Since the two lines on either side of the 46 degree angle represent parallelism, angles 1 and 2 are the same.

360 - (90+46) = 224.

224 / 2 = 112.

Answer:

\(m∠1 = 112\)

Step-by-step explanation:

\(m∠1 = m∠2\)

\(m∠1 + m∠2 + 90 + 46 = 360\)

\(m∠1 +m ∠2 + 136 = 360\)

\(m∠1 + m∠2 = 360 - 136\)

\(m∠1 + m∠2 = 224\)

\(m∠1 = \frac{224}{2} \)

\(m∠1 = 112\)

\(m∠2 = \frac{224}{2} \)

\(m∠2 =112\)

The correct answer is d. Britney's subjective measure of her well-being would increase by less than 5 units.

We have, The vertical distance between points (0, a) and (0, b) is 5.

Her wealth increased from $1,050 to $1,350.Britney's subjective measure of her well-being would increase by less than 5 units. Option (d) is correct. Because the vertical distance between the points (0, a) and (0, b) is 5.

If the horizontal distance is the same as the vertical distance, then the slope is 1.

The slope of the straight line joining two points is given by;

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

Where the points are \((x_1,y_1), (x_2,y_2)\)

Let's assume the two points are \((0, a) \ and \ (0, b)\).

The slope of the line connecting these two points is;

\(\displaystyle m=\frac{b-a}{0-0}=\frac{b-a}{0}\)

This is undefined as we cannot divide by 0.Hence, there is no horizontal distance, and there is no slope.

Therefore, if the vertical distance between two points is 5, and there is no horizontal distance, then she will experience less than 5 units of well-being.

Therefore, Britney's subjective measure of her well-being would increase by less than 5 units.

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Answer:

Yes, (2, -1) is a solution.

Step-by-step explanation:

Plug in 2 for x and -1 in for y and see if it is a true statement.

2x - y = 5

2(2) - (-1) = 5

4 - (-1) = 5  Subtracting a negative number is the same as adding a positive number

4 + 1 = 5

5 = 5  Since this statement is true, (2,-1) is a solution.

Answer:

area of the path = 96 m²

Step-by-step explanation:

See attached diagram.

The green square is the square plot of side 10 m.

The grey is the path of width 2 m running around the outside of the square.

The easiest way to calculate the area of the path is to work out the entire area of the path and square plot, then subtract the area of the green square from it.

Area of a square = (side length)²

Area of green square = 10² = 10 x 10 = 100 m²

We are told that the width of the path is 2 m, so the side length of the square incorporating the path AND the green square will be:

side length of green square + 2 + 2 = 10 + 2 + 2 = 14 m

Therefore, entire area = 14² = 14 x 14 = 196 m²

To find the area of the path only:

entire area - area of green square = 196 - 100 = 96 m²

So the area of the path is 96 m²

Answer:

x=3

Step-by-step explanation:

3 times 3 is 9

Answer:

X=3

Step-by-step explanation:

The Test value for difference between the mean numbers of calls for the two shifts at the 0.05 level of significance is 31.94

According to the question,

Karen's data:

Sample size : n₁ = 37

Sample mean = 4.5

Sample standard deviation : s₁ = 1.1

Jodi's data ,

Sample size : n₂ = 32

Sample mean = 5.3

Sample standard deviation : s₂ = 1.5

To calculate significance difference between two means we use t-test

t = difference of mean / √(pooled variance / n₁ + n₂)

Pooled Standard deviation = \(\sqrt(\frac{(n_1 - 1)s_1^{2} + (n_2 - 1)s_2^{2})}{n_1 + n_2 -2}\)

=> \(\sqrt(\frac{(37 - 1)1.21+ (32 - 1)2.25)}{37 + 32 -2}\)

=> \(\sqrt(\frac{(43.56+ 69.75)}{67}\)

=>\(\sqrt(\frac{(113.31)}{67}\)

=> √1.6911

t = 37 - 32 / (√1.6911/37+32)

=> 5 / √0.0245

=> 31.94  is test value

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Answer:

8 and 69

Step-by-step explanation: