Angle Y measures___degrees.

Answer:

Parallelogram is never a trapezoid

Step-by-step explanation:

Given

Shapes: Parallelogram and Trapezoid

Required

Compare both shapes

The properties for comparison of both shapes are:

In a parallelogram: It has 4 sides and opposite sides are parallel.

In a trapezoid: It has 4 sides, 2 of which are parallel while the other two are not.

Hence, the word that completes the sentence is never.

Answer: Choice A)

Set A is an exponential function and the values increase at a faster rate than Set B.

======================================================

Explanation:

Focus on Set A. Each time x goes up by 1, y goes up by a factor of 10. In other words, the y value is being multiplied by 10.

etc

This strongly implies that we're dealing with an exponential function. The equation for this function is y = 10^x.

Plug in x = 1 and you should get y = 10. Repeat for x = 2 and it should lead to y = 100. This helps confirm we have the correct function.

On the other hand, Set B deals with a linear equation which is y = 50x+950. The slope 50 is the amount we're increasing y each time x goes up by 1. If you plug x = 1 into this, you should get y = 1000. Plug in x = 2 and it leads to y = 1050, and so on.

When comparing exponential growth rates versus linear growth rates, the exponential will be faster. This is true even if you have a very small exponential growth rate. At some point, the exponential will overtake the linear. The linear growth rate is some constant value that never changes. The exponential growth rate increases over time. Think about simple interest versus compound interest and that may be a good example to go over.

The number of ways to arrange the books when one shelf is left empty is m * (m-1)^(n-1).To solve this problem, we need to use the permutation formula since the order of books on shelves matters.

We can start by finding the total number of ways to arrange n books on m shelves, where n is the number of books and m is the number of shelves.

If we have n books and m shelves, the number of ways to arrange the books on the shelves without any restrictions is m^n. However, since we have the additional restriction that each shelf must contain at least one book, we need to subtract the number of arrangements where one or more shelves are left empty.

The number of ways to arrange the books when one shelf is left empty is m * (m-1)^(n-1), since we can choose the empty shelf in m ways, and then arrange the remaining n-1 books on the (m-1) non-empty shelves in (m-1)^(n-1) ways. However, we need to be careful not to double-count the arrangements where two shelves are left empty, so we add back in the number of arrangements where two shelves are empty, which is m choose 2 * (m-2)^(n-1). We continue this process until we've accounted for all the possible combinations of empty shelves.

Therefore, the total number of arrangements with at least one book on each shelf is:

m^n - m*(m-1)^(n-1) + m choose 2 * (m-2)^(n-1) - m choose 3 * (m-3)^(n-1) + ...

This expression can be simplified using the principle of inclusion-exclusion, but it still depends on the values of n and m.

Find out more about  principle of inclusion-exclusion

brainly.com/question/18004564

#SPJ4

Answer:

23333/100000 is the answer to your question

Answer: x =  

Step-by-step explanation:

Given  : 0.233333

To find : write as a fraction number.

Solution : We have given that

0.233333..

Let x = 0.233333.

We can see the number 3 is repeating 0.233333

So, the bar line is over the one digit 3

On multiplying the number both side by 10.

10x = 10 * 0.233333

10x = 2.33333

We can write the number 2.33333 in term of x

10x = 2.1 + x

On subtracting both sides by x

10x -x = 2.1

9x = 2.1

On dividing both sides by 9.

x =

Removing decimal

x =  .

On dividing both number by 3

x =  

Therefore, x =  

Step-by-step explanation:

Answer:

(5,1)

If you use substitution it'll be very easy.

In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.

Final answer is (5,1).

The solution to the system of equations is x = 5, y = 1

The given system of equations is:

x + y = 6......(1)

x = y + 4......(2)

Substitute the equation x = y + 4 into the equation x + y = 6

y + 4 + y = 6

Collect like terms

y + y = 6 - 4

2y = 2

y = 2/2

y = 1

Substitute y = 1 into equation (2)

x = 1 + 4

x = 5

The solution to the system of equations is x = 5, y = 1

Learn more on simultaneous equation here:

https://brainly.com/question/16863577

Answer:

b

Step-by-step explanation:

An integer is a whole number

If the stock market gains by 10 basis points. It means that it increases by (0.0001 x 10) = 0.001% or 0.00001

this is a decimal and not an integer

Answer:

4t+5

Step-by-step explanation:

The expression evaluates to -16. (-8) multiplied by 1 is -8, and (4) multiplied by 4 is 16. Subtracting 16 from -8 gives -16.

The expression 1•f(-8)-4•g(4) is a combination of two function expressions, f and g. The expression is asking us to evaluate the value of the combination of these two functions. To do this, we must first understand the meaning of the symbols in the expression. The multiplication symbol "•" is used to represent multiplication. The minus sign "-" is used to represent subtraction. Now that we understand the symbols, we can begin to evaluate the expression. First, we must evaluate the function f(-8). This means that we must plug -8 into the function f and evaluate the result. In this case, the result is -8. Then, we must evaluate the function g(4). This means we must plug 4 into the function g and evaluate the result. In this case, the result is 4. Now that we have evaluated the two functions, we can combine the two together. We do this by multiplying -8 by 1, which is -8. Then, we multiply 4 by 4, which is 16. Lastly, we subtract 16 from -8, giving us -16. Therefore, the expression 1•f(-8)-4•g(4) evaluates to -16.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

The completely expanded expression equivalent to log5(3x 6y) is log5(3x) + log5(6y). This representation separates the logarithm into two parts, with each part corresponding to one of the factors in the original expression.

1. To expand the expression log5(3x 6y) using the product rule of logarithms, we can split it into two separate logarithms using parentheses. The product rule states that log base b of (xy) is equal to the sum of the individual logarithms: log base b of x plus log base b of y. 2. Applying the product rule to log5(3x 6y), we can write it as log5(3x) + log5(6y). The logarithm with base 5 is split into two logarithms: one for 3x and another for 6y. Therefore, the completely expanded expression equivalent to log5(3x 6y) is log5(3x) + log5(6y). This representation separates the logarithm into two parts, with each part corresponding to one of the factors in the original expression.

Learn more about product rule of logarithms here: brainly.com/question/9044909

#SPJ11

a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

To learn more about probability click here: brainly.com/question/31828911

#SPJ11

Answer:

270 students all together. First you divide 120 by the ratio of boys. That'll get you 30, then multiply 30 by 5 which is the girls ratio and you'll get 150. Finnaly add 150 + 120 then boom your answer

The line r has a slope 1/3 and y-intercept (0,5)

What is the Dilation?

Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

Given

The slope of the line and its intercept (0,2)

The slope of the line r will not change.

And intercept is the addition of their ordinate will be.

Intercept = 2+3

Intercept = 5

So, the line r has slope 1/3 and y-intercept (0,5).

To learn more about the Dilation from the given link

https://brainly.com/question/3457976

#SPJ4

Yes, as long as the dividend is also a multiple of 5, the equation has sense.

Here we can define a quotient between two numbers a and b is:

a/b

We know that this is a multiple of 5, so for an integer n we can write:

a/b = 5*n

Now, we know that the dividend is a multiple of 4, so:

a = k*4

The divisor is a factor of 8, the factors of 8 are:

8 = 2*2*2

So the two factors of 8 are 2 and 4.

If the factor is 4, then the problem becomes trivial:

k*4/4 = n*5

k = n*5

So, as long as the dividend is also a multiple of 5, the equation has sense (similar thing happens if the divisor was 2 instead of 4).

Learn more about quotients:

https://brainly.com/question/629998

#SPJ1

The critical value of t for a 90% confidence interval with df = 4 is approximately: d) 1.645. So, option (d) is correct

To estimate the critical value of t for a 90% confidence interval with degrees of freedom (df) equal to 4, we can use t-tables, software, or a calculator.

The t-distribution is a probability distribution used for hypothesis testing and constructing confidence intervals when the population standard deviation is unknown. The critical value of t represents the cutoff point beyond which we can reject the null hypothesis or accept the alternative hypothesis.

To estimate the critical value of t for a 90% confidence interval with degrees of freedom (df) equal to 4, you can use t-tables, software, or a calculator.

Looking up the value in a t-table or using a calculator or software, the critical value of t for a 90% confidence interval with df = 4 is approximately: d) 1.645

To know more about probability distribution refer to

https://brainly.com/question/14210034

#SPJ11

The percent markup of a department, if they sell 300 shirts at a cost of $9 each is 50%

According to the question, we learn that a department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. This means :

The selling price of 300 shirts = 300 × $9

The selling price of 300 shirts = $2700

Selling price > cost price i.e., 2700 > 1800

when selling price is greater than cost price it means department store made a profit.

Profit = selling price - cost price

Profit = 2700 - 1800 = $900

Profit percentage = profit/ cost price × 100

Profit % =\(\frac{900}{1800} \times 100\)

Profit % = 50%

To know more about percentage

https://brainly.com/question/29186061

The solution to the linear function M(x) = 180 is of x = -5.

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

In this problem, the function is defined as follows:

M(x) = 120 - 12x.

M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.

The domain of the situation is given as follows:

x ≥ 0. {discrete}

As the number of tickets cannot assume negative neither decimal values.

The equation is:

M(x) = 180.

The solution is calculated as:

120 - 12x = 180

12x = -60

x = -60/12

x = -5.

Learn more about Linear function at:

https://brainly.com/question/21107621

#SPJ1

Answer:

The answer would be 8.

Step-by-step explanation:

Here the given expression,

6 + 4/a + 3/b

By substituting a = 4 and b = 3 in the above expression,

We get,

6 + 4/4 + 3/3

= 6 + 1 + 1

= 8

Therefore, the value of the given expression would be 8.

Answer: 8

Step-by-step explanation: Plug in a =4 and b=3 into 6+4/a +b/3 6 + 4/4 + 3/3= 6 + 1 + 1= 8

For the angle of elevation to the top of a building is 5 degrees from the ground, the height of building is equals to 0.1 miles.

A buliding in New York. The angle of elevation to the top of a building from ground = 5°

Distance from ground point to base of building = 1 mile

We have to determine the height of the building. Now, if we consider all scenario geometrically, then we see the right angled triangle present in above figure. The height of buliding = h

Using the Trigonometric Ratio \( tan(\theta) = \frac{height}{base} \)

Substitute all known values in above formula, \(tan(5°) = \frac{h}{1 \: miles} \)

From the trigonometric table, tan(5°) = 0.087

=> h = 1 × 0.087 miles

=> h = 0.087 miles ~ 0.1 miles

Hence, required height value is 0.1 miles

For more information about angle of elevation, visit :

https://brainly.com/question/27243378

#SPJ4

(a) Option A, if its value is a large positive number, statistic A x2 provides strong evidence for the alternative hypothesis.

(b) Option B, the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals.

(c) Option B, the variables considered in the chi-square test for the evaluation of contingency table B are categorical variables.

(a) If the x2 statistic is a large positive number, it provides strong evidence for the alternative hypothesis. The x2 statistic is used in hypothesis testing to determine if there is a significant difference between observed and expected frequencies. Large positive values ​​indicate that the observed frequency is significantly different from the expected frequency, supporting the alternative hypothesis.

(b) The hypotheses tested in the chi-square test for the contingency table are the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals. personal goals. This test determines whether there is a significant relationship between two categorical variables.

(c) The variables considered in the chi-square test used to evaluate the contingency table are categorical variables. These variables cannot be assumed to be mean or normally distributed. The chi-square test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

Complete Question:

For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1. (b) A study was performed to examine the personal goals of children in elementary school. A random sample of students was selected and the sample was given a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's sex (boy or girl) was also recorded. If a contingency table for the data is evaluated with a chi-squared test, what are the hypotheses being tested? A. The null hypothesis that boys are more likely than girls to desire good grades vs. the alternative that girls are more likely than boys to desire good grades. OB. The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. C. The null hypothesis that there is no relationship between personal goals and sex vs. the alternative hypothesis that there is a positive, linear relationship. OD. The null hypothesis that the mean personal goal is the same for boys and girls vs. the alternative hypothesis is that the means differ. O E. None of the above. (C) The variables considered in a chi-squared test used to evaluate a contingency table A. are normally distributed. B. are categorical. C. can be averaged. OD. have small standard deviations. E. have rounding errors.

Learn more about Variables:

https://brainly.com/question/2403687

#SPJ4

Answer:

-4a² + 7a + 4

Step-by-step explanation:

Subtract -4 + 3a² from 7a - a².

(7a - a²) - (-4 + 3a²) =

= 7a - a² + 4 - 3a²

= -4a² + 7a + 4

\(\frac{1}{2} x+6(x+15)=12\\\\\frac{1}{2} x+6x+90=12\\\\6\frac{1}{2} x+90=12\\6\frac{1}{2} x=-78\\x=-12\)

\(y=x+15\\y=-12+15\\y=3\)

The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

More about the domain of the function link is given below.

https://brainly.com/question/28213468

#SPJ9

Answer:

LLOOOL

Step-by-step explanation:

Answer:

6 levels

Step-by-step explanation:

60 - 5 (to set up the character)

55 total minutes

8(l) = 55

L = 55/8

L = 6.875

.˙. they can finish 6 levels

Answer:

Step-by-step explanation:here is a example:Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.

The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by volume=7x(2x+1)=14x2+7x

Approximately 68.27% of the data will fall between 42 and 54. 0.13% of the data will be greater than 66. A large percentage of the data falls between these values, but we cannot provide an exact percentage. The z-score of element 33 is -2.5  indicates that the element is 2.5 standard deviations below the mean.

To solve these questions, we can use the properties of the normal distribution and z-scores.

a. To find the percentage of data that falls between 42 and 54, we need to calculate the z-scores for these values and then find the area under the normal curve between those z-scores.

The z-score formula is:

z = (x - μ) / σ

For 42:

z1 = (42 - 48) / 6 = -1.0000

For 54:

z2 = (54 - 48) / 6 = 1.0000

Using a standard normal distribution table or a calculator, we can find the area between these two z-scores.

Area between z1 and z2 = P(z1 < Z < z2) = P(-1 < Z < 1) ≈ 0.6827

Therefore, approximately 68.27% of the data will fall between 42 and 54.

b. To find the percentage of data that will be greater than 66, we need to calculate the z-score for 66 and find the area to the right of that z-score.

For 66:

z = (66 - 48) / 6 = 3.0000

Using a standard normal distribution table or a calculator, we can find the area to the right of this z-score.

Area to the right of z = P(Z > z) = P(Z > 3) ≈ 0.0013

Therefore, approximately 0.13% of the data will be greater than 66.

c. When the distribution of the data is unknown, we cannot make exact calculations based on the normal distribution. However, if we assume that the data is approximately normally distributed, we can estimate the percentage of data falling between certain values.

Since the data is unknown, we can use a rough estimate based on the empirical rule (also known as the 68-95-99.7 rule). According to this rule, for a bell-shaped distribution:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

Since the mean is 48 and the standard deviation is 6, we can estimate that a large percentage of the data falls between 36 and 60. However, we cannot provide an exact percentage without knowing the specific shape of the distribution.

d. Similarly, assuming the distribution is unknown, we can use the rough estimate based on the empirical rule. The range between 39 and 57 is within two standard deviations of the mean. Therefore, we can estimate that a large percentage of the data falls between these values, but we cannot provide an exact percentage.

c. The z-score measures the number of standard deviations an individual element is away from the mean. To compute the z-score for an element of 33 in this case, we use the formula:

z = (x - μ) / σ

For 33:

z = (33 - 48) / 6 = -2.5

The z-score of -2.5 indicates that the element is 2.5 standard deviations below the mean. In terms of interpretation, it means that the value of 33 is relatively low compared to the mean and standard deviation of the data set. It falls in the lower tail of the distribution.

Learn more about z-score here: https://brainly.com/question/31871890

#SPJ11

Answer: 6

Step-by-step explanation: n-3x6-6=6