Write a two-column proof.

Given: NK is a median of ΔJMN .

J N>N M

Prove: m ∠ 1 > m ∠ 2

Answer:

really what is the answer

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

i cant see clearly if line is on the x axis or not, so im going to guess that it starts on a 2, cause its really close to 2.

hope this helps.

Answer:

y = 3/4x-3

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

The y intercept is -3 ( where it crosses the y axis)

The slope is  change in y over change in x

We go up 3 and over to the right 4

The slope is 3/4

y = 3/4x-3

Step-by-step explanation:

We can use the expression (22 x 40) + (22 x 6).

The value of z that corresponds to a cumulative probability of 0.901 can be found by using the standard normal distribution table or a statistical calculator and that is approximately -1.67.

In the standard normal distribution, the area under the curve between -z and z represents the cumulative probability from negative infinity to z. Since the distribution is symmetric, the area from negative infinity to -z is also 0.5 - 0.901/2 = 0.0495.

To find the value of z, we need to locate the z-score that corresponds to an area of 0.0495 in the standard normal distribution. By looking up this value in the standard normal distribution table or using a statistical calculator, we find that z is approximately -1.67.

Therefore, the value of z that corresponds to a cumulative probability of 0.901 is approximately -1.67.

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Sam's house is at a distance of approximately 8.062 meters far from the gas station.

Nota - The statement is incomplete. Complete form is described below:

The location of Sam's house, the library, and the gas station is shown on the map below. What is the distance from Sam's house to gas station? The coordinate of each location are presented below: (Distances are given in miles)

Sam's house

\(S(x,y) = (2, -4)\)

Library

\(L(x,y) = (-5, 2)\)

Gas station

\(G(x,y) = (3,4)\)

The distance (\(d\)), in miles, is determined by the line segment distance formula, whose vectorial form is presented:

\(d = \sqrt{[S(x,y)-G(x,y)]\,\bullet \,[S(x,y)-G(x,y)]}\) (1)

Where \(\bullet\) is used in an operation known as dot product.

If we know that \(S(x,y) = (2, -4)\) and \(G(x,y) = (3,4)\), then the distance between Sam's house and the Gas station is:

\(d = \sqrt{(2 - 3)^{2}+[(-4)-4]^{2}}\)

\(d \approx 8.062\,mi\)

Sam's house is at a distance of approximately 8.062 meters far from the gas station.

The test statistic is -5.02

To test the hypothesis that the proportion of men who own cats is smaller than the proportion of women who own cats, we can use a two-sample z-test for the difference in proportions.

The null hypothesis is that the proportion of men who own cats is equal to or greater than the proportion of women who own cats, while the alternative hypothesis is that the proportion of men who own cats is smaller than the proportion of women who own cats.

We can calculate the test statistic using the following formula:

z = (p1 - p2) / sqrt(p*(1-p)*(1/n1 + 1/n2))

where

p1 is the proportion of men who own cats (0.35)

p2 is the proportion of women who own cats (0.9)

p is the pooled proportion [(x1 + x2) / (n1 + n2)] = [(0.35100 + 0.980)/(100+80)] = 0.62

n1 is the sample size of men (100)

n2 is the sample size of women (80)

Plugging in the values, we get:

z = (0.35 - 0.9) / sqrt(0.62*(1-0.62)*(1/100 + 1/80)) = -5.02

Rounding this to two decimal places, the test statistic is -5.02.

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After considering the given data we conclude that the answer for the given sub question regarding combination are
a) the number of different groups of 10 employees that can be selected is 14,307,292
b) the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is 77
c) employees who take public transit is 66
d) employees who drive to work is 11
e) employees that do not include anyone who takes public transit is 184,756
f) employees that do not include anyone who drives to work is 352,716
g) employees that consist of at least one person who drives to work is 14,054,576
h) employees that consist of at least one person who drives to work is 14,054,576
i) employees that consist of 5 people who take public transit and 5 people who drive to work is 365,904
j) employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is 6,270,840

a) This is a combination problem, where the order of selection does not matter. The formula for the number of combinations of n objects taken r at a time is \(nCr = n! / (r! * (n-r)!)\), where n is the total number of objects and r is the number of objects being selected. In this case, there are 32 employees and we want to select 10 of them, so the number of different groups of 10 employees that can be selected is:
\(32C10 = 32! / (10! * (32-10)!) = 14,307,292\)

b) We can add the number of groups that consist only of employees who take public transit to the number of groups that consist only of employees who drive to work. To find the number of groups that consist only of employees who take public transit, we can choose 10 employees from the 12 who take public transit. Similarly, to find the number of groups that consist only of employees who drive to work, we can choose 10 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is:
\(12C10 + 11C10 = 66 + 11 = 77\)

c) We can choose 10 employees from the 12 who take public transit, so the number of possible groups of 10 employees that consist entirely of employees who take public transit is:
\(12C10 = 66\)

d) We can choose 10 employees from the 11 who drive to work, so the number of possible groups of 10 employees that consist entirely of employees who drive to work is:
\(11C10 = 11\)

e) We can choose 10 employees from the 20 who either drive to work or do neither, so the number of possible groups of 10 employees that do not include anyone who takes public transit is:
\((20C10) = 184,756\)
f) We can choose 10 employees from the 21 who either take public transit or do neither, so the number of possible groups of 10 employees that do not include anyone who drives to work is:
\((21C10) = 352,716\)

g) We can subtract the number of possible groups of 10 employees that do not include anyone who takes public transit from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who takes public transit is:
\(32C10 - 20C10 = 14,122,536\)

h) We can subtract the number of possible groups of 10 employees that do not include anyone who drives to work from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who drives to work is:
\(32C10 - 21C10 = 14,054,576\)

i) We can choose 5 employees from the 12 who take public transit and 5 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist of 5 people who take public transit and 5 people who drive to work is:
\(12C5 * 11C5 = 792 * 462 = 365,904\)

j) We can choose 4 employees from the 12 who take public transit, 3 employees from the 11 who drive to work, and 3 employees from the 9 who do neither. Therefore, the number of possible groups of 10 employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is:
\(12C4 * 11C3 * 9C3 = 495 * 165 * 84 = 6,270,840\)
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Given the set of values, you have to determine the y-intercept, slope, and the equation that corresponds to de relationship on the table.

The slope-intercept form is

Where

m represents the slope

b represents the y-intercept (is the y-coordinate of the point corresponding to the y-intercept)

The y-intercept of any function in the coordinate system is the point where the line intercepts the y-axis, at this point the x-coordinate is equal to zero. You can determine this value directly from the table, the ordered pair (0,6) corresponds to the y-intercept coordinates.

So "b = 6"

To determine the slope of the line, m, you need to use two points of the line and the following formula:

Where

(x₁,y₁) are the coordinates of one point on the line

(x₂,y₂) are the coordinates of a second point on the line

You can use any two points of the line to calculate the slope, I will use (2,14) and (1,10)

The slope of the line is m=4

Finally, you have to replace the values of the slope and y-intercept in the formula to determine the equation of the line in slope-intercept form:

For b=6 and m=4

Since the limit is less than 1, by the ratio test, the series converges absolutely.

To determine the convergence or divergence of the series, the ratio test is applied. The ratio test involves taking the limit of the absolute value of the ratio of the (k+1)-th term and the k-th term as k approaches infinity. If this limit is less than 1, then the series converges. If the limit is greater than 1 or does not exist, then the series diverges.

In this case, the ratio test is applied to the series ∑(k=1 to infinity) ke^(-5k). After applying the ratio test and simplifying, the limit is found to be 0, which is less than 1. Therefore, the series converges. This means that the sum of the series exists and is a finite value.

Applying the ratio test:

lim k→∞ (k+1)e−5(k+1) / ke−5k

= lim k→∞ (k+1) / e5 * k

As k approaches infinity, the denominator (e5k) grows much faster than the numerator (k+1), so the limit is 0.

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Answer:

K= -10

Step-by-step explanation:

Answer:

59×695÷500×56677×6626

The simplified expression using De Morgan's law are  a)x'y'z'u  b)x'y'u c): x'y'u and d)x'y'z'+xy'z'+xyz.

The main idea is to simplify each Boolean expression by repeatedly applying De Morgan's law until each complement operation operates on a single variable.

Then, apply the double complement law to simplify the expression further. In the end, the simplified expression should contain only AND and OR operations without any complement operators acting on multiple variables.

a. 1/ x + yz + u can be simplified using De Morgan's law to: (x'y'z')u'. Then, applying the double complement law, we get the simplified expression as: x'y'z'u.

b. 1/x(y + 2)u can be simplified using De Morgan's law to: x'(y'+2')u'. Then, applying the double complement law, we get the simplified expression as: x'y'u.

c. 1/(x + y)(uv + xy) can be simplified using De Morgan's law to: (x'y')(u' + x'y'). Then, applying the double complement law, we get the simplified expression as: x'y'u.

d. 1/xy + yz + xz can be simplified using De Morgan's law to: (x'+y')(y'+z')(x'+z'). Then, applying the double complement law, we get the simplified expression as: x'y'z'+xy'z'+xyz.

In summary, to simplify Boolean expressions, we can apply De Morgan's law repeatedly and then use the double complement law to remove complement operators acting on a single variable twice.

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Answer:

2p - 4

Step-by-step explanation:

Hello!

Let's start by deciphering what the wording is saying.

So we see he reads 4 less than 2 times the number of pages he read yesterday.

Note the words I put in bold. They're in bold because they signal our operations.

Note the fragment I underlined. It is underlined because that underlined portion refers to our variable, p.

So the amount of pages read is 4 less than 2 times p.

Well, 2 times p is 2p, and 4 less than 2p is 2p - 4

Let me know if you have any questions.

The infinite series ax/a+x can be expressed as a geometric series with the sum being a/a-x.

The infinite series for ax/a+x can be represented as a geometric series. The first five terms can be expressed as:

\(Term 1: ax/(a+x)\\Term 2: (ax)^2/(a+x)^2\\Term 3: (ax)^3/(a+x)^3\\Term 4: (ax)^4/(a+x)^4\\Term 5: (ax)^5/(a+x)^5\)

The infinite series can be expressed using summation notation as:

\(∑_(n=1)^∞ (ax)^n / (a+x)^n\)

Using the formula for a geometric series, the sum of the infinite series can be calculated as:

\(S = ax/(a+x) * 1/(1-ax/(a+x)) \\ = ax/(a+x) * (a+x)/(a-ax) \\ = ax/(a-ax) \\ = a/a-x\)

Therefore, the infinite series ax/a+x can be expressed as a geometric series with the sum being a/a-x.

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Answer:

f(0)=3/2, f(4) =7/2

Step-by-step explanation:

All of the others are not true. Multiply each number times 1/2 and add 3/2 and these work.

Answer:

Here is an answer just so that you can mark the other answer brainliest!

Step-by-step explanation:

The answer is 2 and 5 (going from top to bottom)

This is a lame answer so pls make the other answer brainliest.

Answer:

1 pound for $3.75

if you divide $15.63 by 4, you would get 3.9075, which is more than $3.75

Step-by-step explanation:

Answer:

quince

Step-by-step explanation:

si el cartón de huevos es la unidad, y son 30 huevos,

responde:

¿cuántos huevos hay en un medio cartón? ​

translation:

if the egg carton is the unit, and it is 30 eggs,

answer:

how many eggs are in a half carton?

30 divided by 2

30

-----   = 15

 2

1) 0.080 grams of 226Ra would remain after 17,000 years.

2) 44.000 grams of 226Ra would remain after 1,700 years.

To calculate the remaining amount of a radioactive isotope after a certain time, we can use the formula:

\(N(t) = N₀ * (1/2)^{(t / T_{ \frac{1}{2}} )}\)

Where:

N(t) is the remaining amount of the isotope after time t.

N₀ is the initial amount of the isotope

\(T_{ \frac{1}{2} }\) is the half-life of the isotope

Let's calculate the remaining amount of 226Ra for the given time periods:

(1) After 1,700 years:

\(N(t) = 80g * (1/2)^(1700 / 1599) \\ N(t) = 80g *(1/2)^(1.063165727329581) \\ N(t) ≈ 80g * 0.550 \\ N(t) ≈ 44.000g\)

(rounded to three decimal places)

Therefore, approximately 44.000 grams of 226Ra would remain after 1,700 years.

(2) After 17,000 years:

\(N(t) = 80g * (1/2)^(17000 / 1599) \\ N(t) = 80g * (1/2)^(10.638857911194497) \\ N(t) ≈ 80g * 0.001 \\ N(t) ≈ 0.080g \)

(rounded to three decimal places)

Therefore, approximately 0.080 grams of 226Ra would remain after 17,000 years.

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

\(\huge\boxed{\sf x = 5.3}\)

Step-by-step explanation:

y = 12 cm

θ = 24°

Using trigonometric ratio, tan.

\(\displaystyle \boxed{tan \theta = \frac{opposite}{adjacent} }\\\\tan \ 24 = \frac{x}{12} \\\\0.445 = \frac{x}{12} \\\\Multiply \ 12 \ to \ both \ sides\\\\0.445 \times 12 = x\\\\5.3 = x\\\\x = 5.3\\\\\rule[225]{225}{2}\)

Answer:

20x - 21y + 14

Step-by-step explanation:

1/5(150x - 80y + 50 - 50x- 25y + 20)

Step 1 - Distribute

1/5 • 150x = 30x

1/5 • (-80y) = -16y

1/5 • 50 = 10

1/5 • (-50x) = -10x

1/5 • (-25y) = -5y

1/5 • 20 = 4

Step 2 - Combine Variables

30x - 10x = 20x

-16y - 5y = -21y

10 + 4 = 14

Step 3 - Arrange the Set of Numbers

20x - 21y + 14

This is the simplified expression, I know it is correct, I doubled checked on my expression calculator.

Answer:

120

Step-by-step explanation:

Formula for cuboid: L × W × H

Plug in:

L × W × H

4 × 5  × 6

^    ^

20    ×  6

 ^          ^

     120

Hope this helps.

The set of all possible output values of a function is called the range. Option c, range, is the correct answer.

To understand this concept, let's break it down step by step:

1. A function is a relationship between inputs (also known as the domain) and outputs (also known as the range).
2. The domain refers to all the possible input values that can be used as input to the function.
3. The range, on the other hand, refers to all the possible output values that the function can produce.
4. For example, let's consider a function that takes the age of a person as input and returns their height. The domain of this function could be all the possible ages, while the range could be all the possible heights that correspond to those ages.
5. It's important to note that the range can vary depending on the function. In some cases, the range may be limited, while in others, it may be infinite.
6. By understanding the range of a function, we can determine all the possible output values that the function can produce.

In summary, the set of all possible output values of a function is known as the range.

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Which term describes the set of all possible output values for a function?

a. output

b. input

c. range

d. domain

Answer:

3

Step-by-step explanation:

The mean of the data is 30 and the median of the data is 27.5.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean of the data will be calculated by adding all the numbers and dividing it by the quantity of the numbers.

The median of the data generally refers to the middle most value of the series. The median of the data is calculated by arranging the numbers in increasing order and getting the middle value of the numbers.

Given data is 26, 29, 27, 28, 29, 27, 27, 53, 25, 29 arrange all the numbers in increasing order.

25,26,27,27,27,28,29,29,29,53

Mean = Sum of all the numbers / Total numbers

Mean =  (25 + 26 + 27 + 27 + 27 + 28 + 29 + 29 + 29 + 53 ) / 10

Mean = 300 / 10

Mean = 30

Median = ( 27 + 28 ) / 2 = 27.5

Therefore, the mean of the data is 30 and the median of the data is 27.5.

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Answer:

My answer is -9.becasiug

Answer:

49

Step-by-step explanation:

20+4=24 24+25=49

Answer:

90-50=40 so she answers phone calls for 50 min

Step-by-step explanation:

Answer:

3v + 14w + 13

Step-by-step explanation:

The expression can be simplified as follows:

(3v + 8w + 19) + (6w - 6)

Combining like terms, we have:

(8w + 6w) and (19 - 6)

3v + 14w + 13

So the simplified expression is equal to 3v + 14w + 13.