What is the quotient of 3/8 and 4/9 as simplest form

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

See Explanation

Step-by-step explanation:

Given

\(-2 \le x < 5\)

Required

Which is not a solution

The options are not given. So, I will list out the solutions, instead.

We have:

\(-2 \le x < 5\)

This implies that: x starts from -2 and ends at 4

\(x = \{-2,-1,0,1,2,3,4\}\)

Any number outside the above is not a solution of \(-2 \le x < 5\)

The graph is shown below.

We use an open dot at zero because x is only less than 0,

it's not less than or equal to 0.

So we have an open dot at 0 going to the left.

The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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Answer:

3x - 20 = y

Step-by-step explanation:

Answer:

Easy

Step-by-step explanation:

Just multiply 3×20 and you'll get your answer

Answer: It would be 40 inches by 83 1/3 inches

Step-by-step explanation:

The dimensions on the scale drawings will be 40 inches by 83.34 inches.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that If one inch represents 6 feet. The dimensions of 240 feet by 500 feet in the scale drawing will be,

6 feet =  1 inch

1 feet = 1 / 6 inch

240 feet = ( 240 / 6 ) inches

240 feet = 40 inches

500 feet = ( 500 / 6 ) inches

500 feet = 83.34 inches

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Answer: D

Step-by-step explanation:

To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.

Let's start with ordered pair A (80, 6):

1/4x ≤ 7/3y + 2

1/4(80) ≤ 7/3(6) + 2

20 ≤ 14 + 2

20 ≤ 16

This is not true, so ordered pair A is not a solution to the inequality.

Now let's try ordered pair B (48, 9):

1/4x ≤ 7/3y + 2

1/4(48) ≤ 7/3(9) + 2

12 ≤ 21 + 2

12 ≤ 23

This is also not true, so ordered pair B is not a solution to the inequality.

Next, let's try ordered pair C (40, 3):

1/4x ≤ 7/3y + 2

1/4(40) ≤ 7/3(3) + 2

10 ≤ 7 + 2

10 ≤ 9

This is false, so option C is not a solution to the inequality.

Finally, we have option D: (2, -6)

1/4(2) ≤ 7/3(-6) + 2

1/2 ≤ -14 + 2

1/2 ≤ -12

This is true, so option D is a solution to the inequality.

Therefore, the answer is D: (2, -6).

hope this helps!! ^.^ -

Answer: F: 5.90, P: 0.00175, p-value is less than 0.05, so there is significant evidence

Step-by-step explanation:

Answer:

7, 10, 13, 16 and 34

Step-by-step explanation:

\(let \: t_{n} = 3n + 4 \\ when \: n = 1 \\ t_{1} = 3.1 + 4 = 3 + 4 = 7 \\ \\ when \: n = 2 \\ t_{2} = 3.2 + 4 = 6 + 4 = 10 \\ \\ \ when \: n = 3 \\ t_{3} = 3.3 + 4 = 9+ 4 = 13 \\ \\ when \: n = 4 \\ t_{4} = 3.4 + 4 = 12+ 4 = 16 \\ \\ when \: n = 10 \\ t_{10} = 3.10 + 4 = 30+ 4 = 34 \\ \\ \)

Thus the 1st, 2nd, 3rd, 4th and 10th terms are 7, 10, 13, 16 and 34 respectively

F(x)=3^3 + 5(3)^2 +1

F(x)=27 + 5(9) +1

F(x)=27+45+1

F(x)=73

The critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

The critical value to be used in constructing the 90% confidence interval is 1.645. This is the z-score associated with a 90% confidence level. In other words, this is the value that is 1.645 standard deviations away from the mean. This value is found using the z-table, which contains the probability values for a standard normal distribution.

Therefore, the critical value to use in constructing the confidence interval is 1.645. This critical value corresponds to the 90% confidence level.

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The point estimate for the population mean age at first marriage is 21.89, the true population mean age at first marriage falls between 21.815 and 21.965 years with a small margin of error due to a large sample size. A 99% confidence interval is (21.836, 21.944).

The point estimate at first marriage is 21.89.

We can interpret the 99% confidence interval as follows: we are 99% confident that the true population mean age at first marriage falls between 21.815 and 21.965 years.

To compute a 95% confidence interval, we can use the formula:

Margin of error = z*(SE)

where z is the z-score corresponding to the desired confidence level (1.96 for 95% confidence), and SE is the standard error of the mean, which is equal to the standard deviation divided by the square root of the sample size.

Thus, for the given data:

Margin of error = 1.96*(4.787/sqrt(26920)) = 0.054

The 95% confidence interval can be computed as:

21.89 ± 0.054

which gives us a range of (21.836, 21.944).

The margin of error for this confidence interval is small because the sample size is very large (n=26920). As the sample size increases, the standard error of the mean decreases, which in turn reduces the margin of error.

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_____The given question is incomplete, the complete qustion is given below:

a. Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval

b. interpret the confidence interval

c. verify the results by computing a 95% confidence interval with the information provided

d. why is the margin of error for this confidence interval so small? A study asked respondents, "If ever married, how old were you when you first married? The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Variable N Mean StDev SE Mean 99.0% CI AGEWED 26920 21.890 4.787 0.029 (21.815, 21.965) L attention and maintarhaan Hansen

To calculate the geometric distribution as per the information provided in the question:

a) to show moment generating function,

\(Y (p)= p(Y - y) \\ = p(1 - p)^{y - 1} \)

Here, y = 1,2,3........

\(m(t) = E(e^{ty} ) \\ = Σ^{ \infty }_{y - 1}(e^{ty} )p(q)^{y - 1} \)

\( \frac{p}{q} Σ^{ \infty }_{y - 1}( {e}^{t}) ^{y} q^{y } \\ = \frac{p}{q} Σ^{ \infty }_{y - 1}( {qe}^{t}) ^{y} \\ = \frac{p}{q} \times \frac{qe^{t} }{1 - qe^{t} } \)

Now, we subtract q from both sides,

\( = \frac{pe^{t} }{1 - qe ^{t} } \)

b) To show moment generating function,

we simply have to go back to part A and expand the steps.

The probability distribution of the necessary X Bernoulli trials or the probability distribution of the number of trials are the two discrete probability distributions in probability theory and statistics that the geometric distribution belongs to.

The geometric random variable is used to simulate a series of experiments where the outcomes can be either a success or failure (depends). How many trials were conducted before a success is revealed by the geometric random variable.

According to the three underlying assumptions, each trial has one of two outcomes (success or failure). Each trial is distinct from the others. The likelihood of success is the same for every trial.

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Answer: The equation of a line in the form y = mx + b can be written as y - mx - b = 0. So we can rewrite the equation of the line as 2y - 3x + 5 = 0. This means that the slope of the line is -3/2.

The slope of a line perpendicular to this line would be the negative reciprocal of -3/2, which is 2/3. Let's call the point M (x, y). We know that the line passing through (2, 6) has a slope of 2/3. So we can write the equation of this line as:

y - (2/3)x - b = 0

Substituting the point (2, 6) into this equation, we get:

6 - (2/3)(2) - b = 0

b = 4

So the equation of the line passing through (2, 6) is:

y - (2/3)x - 4 = 0

To find the coordinates of point M, we need to find the point where these two lines intersect. Setting the two equations equal to each other and solving for x and y, we get:

2y - 3x + 5 = y - (2/3)x - 4

5 - 2y = y - (5/3)x + 4

(5/3)x = 3 - y

x = (3 - y) * (3/5)

Substituting this expression for x into one of the original equations, we can solve for y:

2y - 3((3 - y) * (3/5)) + 5 = 0

2y - (9 - 3y)(3/5) + 5 = 0

(10/5)y - (9/5) + 5 = 0

y = (9/5) + (5/5)

y = 2

Substituting this value for y back into the expression for x, we get:

x = (3 - 2) * (3/5)

x = 1

So the coordinates of point M are (1, 2).

Step-by-step explanation:

Answer: (-2,-11)

Step-by-step explanation:

We looking for values that will satisfy the equation upon inspection, when x is -2, the equation gives y=-11 .

I.e y=4x-3 ,when x=2

Y= 4(-2)-3

Y= -8-3

Y= -11

Answer:

Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.

Step-by-step expArionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.

lanation:

Answer:

The short answer you are looking for is C!

Step-by-step explanation:

I hope you all live a long prosperous life, I wish that you and your family live long and happy, I hope that you will all get through this pandemic and get good flying grades! god bless you if you read this to the end, I love you. ʕっ•ᴥ•ʔっ <3

Answer:

120

hope this helps

have a good day :)

Step-by-step explanation:

120 if not that 60

Step-by-step explanation:

hope this helped

Answer:

The price of one reusable bottle is $8.12

Step-by-steetp explanation:

Ms stone wanted to purchase two reusable bottles but discovered she had only ⅝of the Mone and that ⅝ is equal to $ 10.15.

So the cost of what she wants to purchase will be called x.

Mathematically

⅝ * x = 10.15

X = (10.15*8)/5

X = 81.2/5

X= 16.24

The price of the two bottles is $16.24

So the price if one bottle will be calculated as follows.

2 bottles=$ 16.24

One bottle= $16.24/2

One bottle= $8.12

The price of one reusable bottle is $8.12

Answer:

$10.59

Step-by-step explanation:

6% of 9.99 is 0.5994, so you round it to 0.60, then add it to 9.99.

Answer:

Aida

Step-by-step explanation:

5 to the power of 4 is equivalent to 5 x 5 x 5 x 5. Hector, Camila, and Juan all thought of the exponents in wrong ways.

Answer:

The first one

Step-by-step explanation:

Answer:

height = 25.71

Step-by-step explanation:

Answer:

15 customers were outside

Step-by-step explanation:

Represent customers inside with x and customers outside with y.

So, we have:

\(x = \frac{1}{3}y - 2\) --- First Statement

\(x = 3\) --- Second Statement

Required

Find y

Substitute 3 for x in \(x = \frac{1}{3}y - 2\)

\(3 = \frac{1}{3}y - 2\)

Add 2 to both sides

\(2 + 3 = \frac{1}{3}y - 2 + 2\)

\(2 + 3 = \frac{1}{3}y\)

\(5= \frac{1}{3}y\)

Multiply both sides by 3

\(3 * 5= \frac{1}{3}y *3\)

\(15 = y\)

\(y = 15\)

Hence; 15 customers were outside

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

The mean and median of the given data are 718.72, and 719.5 respectively, and have no mode. The range is 87 and the standard deviation is 26.26. The interval that includes about 95% of the observations is between $666.20 and $771.24.

Mean - The mean is calculated by summing up all the observations and dividing by the number of observations.

mean = (684 + 710 + 688 + 711 + 722 + 698 + 723 + 743 + 738 + 722 + 696 + 721 + 685 + 763 + 681 + 731 + 736 + 771 + 693 + 701 + 737 + 717 + 752 + 710 + 697) / 25

mean = 718.72

Media -: The median is the middle value in a set of data when the data is arranged in order. With 25 observations, the median will be the average of the 13th and 14th observations when the data is sorted in ascending order.

median = (717 + 722) / 2

median = 719.5

Mode - The mode is the value that occurs most frequently in a set of data. In this case, there is no single value that occurs most frequently, so the data has no mode.

Range - The range is the difference between the largest and smallest values in a set of data.

range = 771 - 684

range = 87

Standard Deviation - The standard deviation is a measure of the spread of the data. It is calculated using the following formula -

\(\sqrt{((684-718.72)^2 + (710-718.72)^2 + (688-718.72)^2 + ... + (697-718.72)^2) / 25)\)

The standard deviation of this sample is approximately 26.26.

Empirical Rule - The Empirical Rule states that approximately 68% of the observations are within one standard deviation of the mean, approximately 95% of the observations are within two standard deviations of the mean, and approximately 99.7% of the observations are within three standard deviations of the mean.

Using the Empirical Rule, we can establish the interval which includes about 95% of the observations:

[718.72 - 2 * 26.26, 718.72 + 2 * 26.26] = [666.2, 771.24]

So, approximately 95% of the observations are between $666.20 and $771.24.

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The complete question is -

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year: 684 710 688 711 722 698 723 743 738 722 696 721 685 763 681 731 736 771 693 701 737 717 752 710 697 Find the mean, median and the mode of the data. Calculate the range and standard deviation. Use the Empirical Rule to establish an interval that includes about 95 percent of the observations.

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Answer:

48

Step-by-step explanation:

\(27+32+17-28=48\)

Answer:

someone else answerded

Step-by-step explanation:

have a good day or night

Answer:

1) \(\huge\boxed{\sf \frac{5}{8}}\)

2) \(\huge\boxed{\sf \frac{3}{8} }\)

Step-by-step explanation:

Total Students = 32

Boys = 20

Girls = 32 - 20 = 12

Fraction of boys:

= 20 / 32

= 10 / 16

= 5 / 8

Fraction of Girls:

= 12 / 32

= 6 / 16

= 3 / 8

\(\rule[225]{225}{2}\)

Hope this helped!

Answer: 25 adults, 50 children and 96 students

Step-by-step explanation:

12x + 5*(2x) + 7*(171-3x) = 1222

12x + 10x + 1,197 - 21x = 1222

x = 1222 - 1,197 = 25  is the number of adults.

2*25 = 50 is the number of children

50*5 = 250

25*12 = 300

300+250 = 550

1222-550 = 672

672/7 = 96

The percentage of young adults who exercised four or five days a week is 36%

Out of the 25 young adults surveyed, a total of 4 people exercised four days a week and 5 people exercised five days a week. To calculate the percentage of young adults who exercised four or five days a week, we add the number of people who exercised four days a week to the number of people who exercised five days a week, which gives us a total of 9.

We then divide this by the total number of people surveyed (25) and multiply by 100 to get the percentage.

So the percentage of young adults who exercised four or five days a week is

(9/25) x 100 = 36%

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9514 1404 393

Answer:

  5544 square units

Step-by-step explanation:

Translation does not change the dimensions of the figure. The two figures together tell you the right triangle has a base of 154 units and a height of 72 units.

The area of a triangle is given by ...

  A = 1/2bh

  A = 1/2(154 units)(72 units) = 5544 square units

The areas of each of the triangles are 5544 square units.