400
,
000
=
4
×
10
6
True or false

Answer:

255

Step-by-step explanation:

EXPLANATION We are looking for the number of adult tickets sold. number of adult tickets sold =x We are given that there were 61 more student tickets sold than adult tickets. number of student tickets sold =+x61 The total number of tickets sold was 511.

To find the expected value of a single policy for the life insurance company, we need to consider the two possible outcomes: the individual survives the year, and the individual does not survive the year.

If the individual survives (99.97% chance), the company will receive the premium of $195 and won't have to pay anything. If the individual does not survive (0.03% chance), the company will have to pay the $200,000 policy minus the $195 premium received.

To calculate the expected value, multiply the probability of each outcome by its respective financial result and then sum them up:

Expected value = (0.9997 * $195) + (0.0003 * (-$200,000 + $195))
Expected value ≈ $194.91 - $60
Expected value ≈ $134.91

The expected value to the company of a single policy in this scenario is approximately $134.91.

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The answer is a) the mode.

The mode is one of the measures of central tendency used in statistics, along with the mean and the median, and it is especially useful for identifying the most common or typical value in a dataset.

The mode represents the most common value in a distribution, so to determine the measure of central tendency that represents the most common number of days it takes for most repairs, we need to identify the mode of the distribution.

In the given frequency table, we can see that the number of repairs is highest for the value 4 days, with a frequency of 18.

Therefore, the mode of the distribution is 4 days.

So the answer is a) the mode

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The most common number of the days it's take for more repairs the answer is a) the mode.

The mode is one of the measures of central tendency used in statistics, along with the mean and the median, and it is especially useful for identifying the most common or typical value in a dataset.

The mode represents the most common value in a distribution, so to determine the measure of central tendency that represents the most common number of days it takes for most repairs, we need to identify the mode of the distribution.
In the given frequency table, we can see that the number of repairs is highest for the value 4 days, with a frequency of 18.
Therefore, the mode of the distribution is 4 days.
So the answer is a) the mode

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Answer:

If i am correct the area should 337inches..........

Step-by-step explanation:

my reason is becuase if you multiply these numbers

13* 6 = 78       and   8 * 8 = 64     and   10 * 17 + 170   and  last 5 * 5 = 25

they you add    170+ 78 + 64 + 25 =  337inches          so means the answer is 337 Your Welcome :D

The equation of the line given in the graph will be:

2y = -3x +2

Given line is passing through the point (2, -2), with the y-intersect of 1(From the graph).

The slope-intercept form of the equation of a line,

y=mx+b,

where m is the slope

b is the y-intercept

since, slope = (y - y')/(x -x')

In our case,

m = (-2-1)/(2-0)

m = -3/2

Thus, the equation of the line will be

y = -3/2x + 1

2y = -3x +2

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The coordinates of K is (-1, 2).

The section formula for the point (x, y) that the point divides the line with end points (x₁, y₁) and (x₂, y₂) internally in the ratio m : n is,

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

Here given that the internal ratio of division is 1 : 6.

The endpoints of the line segment given are J(-13, 20) and L(1, -1).

Let the coordinates of K be (x, y).

Using the section formula,

x = [(1 × -13) + (6 × 1)] / (1 + 6) = -7/7 = -1

y = [(1 × 20) + (6 × -1)] / (1 + 6) = 14/7 = 2

Hence the coordinates of the dividing point K is (-1, 2).

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Step 1:

Write the two equations

x - y = 2 Equation 1

x + 4y = -3 Equation 2

Step 2:

From equation 1 , make x subject of the formula and substitute in equation 2.

Step 3:

Substitute x = 2 + y in equation 2

Step 4

Substitute y = -1 in x = 2 + y to find x

x = 2 - 1

x = 1

Final answer

x = 1 , y = -1

Equation: x - y = 2x + 4y = -3 x - y = -3 Equations 1st and 2 (x - y = -3) 2 equations 1 2x - 2y = -6 equation 1 -(2x + 4y = -3) equation 2 are obtained.

In the second equation, 2x - 2y = -6, 2x -4y = 3, 6y = 3, and 6y = -3/-6 = 1/2.

2x + 4y = -3 , 2x + 4×1/2 = -3

2x +2 = -3 , 2x = -3 -2 , 2x = -5 ,x = -5/2

The last solution is y = 1/2 and x = -5/2.

What you want altered should go here. After that, click the button below. It's that simple!

Answer:

$150

Step-by-step explanation:

CP = 100/(100 - L%) × SP

CP = 100/(100 - 20) × 120

CP = 100/80 × 120

CP = 5/4 × 120

CP = 5 × 30

CP = $150

Answer:

C is correct.

Step-by-step explanation:

\((2n - 3)(n + 4)\)

\(2 {n}^{2} + 8n - 3n - 12\)

\(2 {n}^{2} + 5n - 12\)

The factors of the given expression, x²-x-6, are (x+2)(x-3)

A mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is an expression, x²-x-6, we need to factorize it,

x²-x-6,

Splitting the middle term by the multiples of 6,

2-3 = -1 and 2×3 = 6

x²-x-6

= x²-3x+2x-6

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

= (x+2)(x-3)

Hence, the factors of the given expression, x²-x-6, are (x+2)(x-3)

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Answer:

All together she had a 18.1818182% raise but 18% raise rounded.

Step-by-step explanation:

First you need to find how much each stock increased.

So:

1700 to 2040

500 to 560

Add them.

1700 + 500 = 2200

2040 + 560 = 2600

Then find the raise. You can usally just find the amount for each percent or find the over all raise.

1% of 2200 is 22

400/22 = 18.18

Answer:

No

Step-by-step explanation:

We have to solve the equation.

5x+1=6

     -1  -1

5x=5

/5   /5

x=1

No, 3 isn't a solution.

-hope it helps

Answer:

No

Step-by-step explanation:

5(3) + 1 = 6

15 + 1 = 6

16 = 6 not true

Answer:

x-3

Step-by-step explanation:

Laura's age goes first. You don't know what it is, so you have to leave it as x. You know Jeri is 3 years younger, so you subtract from x.

Answer:

Increase: $6,844

New Price: $64,844

Step-by-step explanation:

58,000x.118=6844

58000+6844=64844

The sets of side lengths that could form a right triangle are 36-48-60 (option b) and 14-48-50 (option d).

To determine which of these sets of side lengths could form a right triangle, we will use the Pythagorean theorem (a² + b² = c²), where a and b are the shorter sides and c is the hypotenuse. Let's evaluate each option:

a) 4-7-10
Applying the Pythagorean theorem: 4² + 7² = 16 + 49 = 65, which is not equal to 10² (100). So, this set does not form a right triangle.

b) 36-48-60
Applying the Pythagorean theorem: 36² + 48² = 1296 + 2304 = 3600, which is equal to 60² (3600). So, this set does form a right triangle.

c) 6-10-14
Applying the Pythagorean theorem: 6² + 10² = 36 + 100 = 136, which is not equal to 14² (196). So, this set does not form a right triangle.

d) 14-48-50
Applying the Pythagorean theorem: 14² + 48² = 196 + 2304 = 2500, which is equal to 50² (2500). So, this set does form a right triangle.

In conclusion, the sets of side lengths that could form a right triangle are 36-48-60 (option b) and 14-48-50 (option d).

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Answer:

their alright but the last one is the second one

Step-by-step explanation:

The average of the squared distances of the data values from the mean is known as the variance.

Variance is a statistical measure that quantifies the spread or dispersion of a dataset. It is calculated by taking the mean of the squared differences between each data point and the mean of the dataset. By squaring the differences, the negative values are eliminated, and the distances from the mean are emphasized. The resulting variance value provides insights into how closely the data points are clustered around the mean. A larger variance indicates a wider spread of data points, while a smaller variance suggests a more concentrated distribution. Variance is commonly used in various fields, including finance, physics, and social sciences, to analyze and compare datasets.

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(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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Answer:

range of given function is -5/3,-1,4/3

The total distance traveled is 14 miles, and the net displacement from the starting point is 4 miles south.

To determine the total distance traveled, we add the distances traveled in each direction. In this case, we walk 9 miles due north and then 5 miles due south. Therefore, the total distance traveled is 9 miles + 5 miles = 14 miles.

Net displacement refers to the change in position or the straight-line distance from the starting point to the final position. Since we walked 9 miles north and then 5 miles south, the net displacement is determined by subtracting the distance traveled in the opposite direction. Thus, the net displacement is 9 miles - 5 miles = 4 miles south.

It's important to note that while the total distance traveled is 14 miles, the net displacement is only 4 miles south. This indicates that even though we covered a total distance of 14 miles, our final position is 4 miles south of the starting point.

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Answer:

See below.

Step-by-step explanation:

So, Nikki earns $12 per hour.

And she also earns a 5% or 0.05 commission of her total sales each day.

On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.

Thus:

\(139=96+0.05x\)

Where x represents Nikki's total sales on Saturday.

Further notes:

To solve, subtract 96 from both sides and divide by 0.05:

\(139=96+0.05x\\43=0.05x\\x=\$860\)

Thus, her total sales that day were $860.

The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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The standard deviation for a binomial probability distribution is : √npq.

The correct option is (D) i.e., square root of npq

The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.

For a binomial distribution,

µ = np, which signifies the expected number of successes.

\(\sigma^2\) = npq , \(\sigma^2\) is the variance.

Since, the standard deviation is the square root of the variance,

Therefore, σ = Standard deviation = √npq

Thus, the standard deviation for a binomial probability distribution is given by √npq.

The correct option is (D)

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Neither parallel nor perpendicular

The points are:

A(3, 1), B(3,-4), C(-4,1), D (-4,5)

The slope of a line is given as:

The slope of the line AB, m(AB), with gthe points A(3, 1), B(3,-4) is given as:

The slope of the line CD, m(CD), with the points C(-4,1), D (-4,5) is given as:

A line that has an infinite slope is a vertical line

For the two lines to be parallel, m(AB) should be equal to m(CD)

For the two lines to be perpendicular, m(AB) = -1 / m(CD)

None of the conditions for paralleleism and perpendicularity is met, the lines AB and CD are neither parallel nor perpendicular

Assuming the conditions for inference were met, we do not have sufficient evidence to conclude that the proportion of car owners who own American-made cars is different from a hypothesized value.

To determine whether there is sufficient evidence to conclude that the proportion of car owners in the United States who own American-made cars is different from a hypothesized value, we need to conduct a hypothesis test.

The null hypothesis is that the true proportion of car owners who own American-made cars is equal to the hypothesized value, denoted by p0. The alternative hypothesis is that the true proportion is not equal to p0. Mathematically, this can be written as:

H0: p = p0

Ha: p ≠ p0

where p is the population proportion of car owners who own American-made cars.

In this case, the sample proportion is 0.56, and assuming the conditions for inference were met, we can use the normal distribution to conduct the test. The test statistic is given by:

z = (p - p0) / √(p0(1-p0)/n)

where n is the sample size.

The p-value of the test is 0.283, which is greater than the significance level a (which is not given in the question).

This means that we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the proportion of car owners who own American-made cars is different from the hypothesized value at the given significance level.

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Complete question is:

A representative of a car manufacturer in the United States made the following claim in a news report. "Ten years ago, only 53 percent of Americans owned American-made cars, but that figure is significantly higher today." A research group conducted a study to investigate whether the claim was true. The group found that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars. A test of the appropriate hypotheses resulted in a p-value of 0.283. Assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago?

Answer:

sandwiches is £1.8

bottle water = £1.2

Step-by-step explanation:

Given data

let cheese sandwiches be x

and bottle water be y

3x+2y= 7.8------------1

5x+4y= 14.20---------2

solve 1 and 2

3x+2y= 7.8------------1*5

5x+4y= 14.20---------2*3

 15x+10y= 39

- 15x+12y= 42.6

        -2y = -3.6

y= 3.6/2

x=1.8

Put x= 1.8 in 1

3(1.8)+2y= 7.8

5.4+2y= 7.8

2y= 7.8-5.4

2y=2.4

y= 2.4/2

y= 1/2

Hence cheese sandwiches is £1.8

bottle water = £1.2

\(m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 9 - 4}{30 - 0} \\ m= \frac{ - 13}{30} \\ m = - \frac{13}{30} \)

I ALSO PROVIDED YOU THE FORMULA TO USE WHEN FINDING THE GRADIENT/SLOPE FOR FUTURE USE.

GOODLUCK.

Answer:

I hope this helps! Have a nice day!

Step-by-step explanation: