Triangle X Y Z is shown. Angle X Y Z is 75 degrees and angle Y Z X is 50 degrees. The length of X Y is 2 and the length of X Z is y. Use the law of sines to find the value of y. Round to the nearest tenth. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction 1.4 units 1.6 units 2.5 units 2.6 units

Statistics is both an art and a science that involves collecting and understanding data. It plays a crucial role in the decision-making process by providing informed strategic decisions based on a combination of intuition, expertise, and a thorough understanding of the available facts.

Statistics is a discipline that encompasses the systematic collection, analysis, interpretation, presentation, and organization of data. It goes beyond mere data collection and involves extracting meaningful insights from the data through various statistical techniques. These techniques should not be considered as the sole component of the decision-making process, but rather as an important part that complements intuition and expertise.

Informed strategic decisions require a balance between human judgment and statistical understanding. While intuition and expertise provide valuable insights, statistical analysis adds objectivity and rigor to the decision-making process. By employing statistical techniques, decision-makers can gain a deeper understanding of the facts available, uncover patterns and relationships in the data, assess risks, make predictions, and evaluate the effectiveness of different options.

However, it is important to note that statistical analysis should not replace intuition and expertise, but rather enhance them. It provides a framework for making decisions based on evidence and data-driven insights, ensuring that decisions are not solely based on subjective opinions or biases. Statistical techniques allow decision-makers to make informed choices by considering all relevant information and reducing uncertainty.

In conclusion, statistics serves as a vital tool in the decision-making process. It combines intuition, expertise, and a thorough understanding of data to provide informed strategic decisions. By integrating statistical analysis into decision-making, individuals and organizations can make more accurate, objective, and effective choices that align with their goals and objectives.

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Answer:

3√2 units

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene, obtuse, acute and right angled triangle.

In a right angled triangle, the hypotenuse is the side with the longest length. Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the remaining two legs

The value of x can be gotten using Pythagoras theorem.

y² = h² + 3²   (1)

x² = h² + 3²   (2)

(3 + 3)² = x² + y² (3)

Substituting y² = h² + 3²  and x² = h² + 3² into equation 3 gives:

(3 + 3)² = (h² + 3²) + (h² + 3²)

36 = h² + h² + 9 + 9

2h² + 18 = 36

2h² = 18

h² = 9

h = 3

Put h = 3, into equation 2 to get the value of x:

x² = 3² + 3²

x² = 9 + 9 = 18

x = √18 = 3√2 units

a = 10, c = 15, b = 5√5

a = 8, c = 18, b = 2√65

a = 12, c = 14, b = 2√13

a = 4, c = 20, b = 8√6

a = 12, b = 14, c = 2√85

a = 4, b = 20, c = 4√26

a = 10, b = 15, c = 5√13

a = 8, b = 18, c = 2√97

Answer:

neither

Step-by-step explanation:

if they were parallel, they would share the same gradient.

if a line were to be perpendicular to 2/5, the gradient would be -5/2 (the numerator and the denominator flips. if it is positive it'll change to negative, and if it's negative it'll become positive).

you don't need to look at the y-intercept, just focus on the gradient.

hope this helps!!

Answer:

neither

Step-by-step explanation:

in order for two lines to be parallel their slopes need to be the same. Both of these equations are written in slope intercept form which reveals the slope as the coefficient of x (the number in front of x).  These coefficients are not the same so not parallel.

to be perpendicular the slopes need to be opposite reciprocals.  For example, 3 and -1/3 or -5/8 and 8/5.  These slopes are opposites since one is negative and one positive but they are not reciprocals so therefore not perpendicular

Answer:

the answer is point f. mostly the answer of such type of questions are the points which do not lie ON the circle

Answer:

A. -x² + 2x + 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 1

g(x) = x² - 7

(f - g)(x) is f(x) - g(x)

Step 2: Solve

Answer:

60%

Step-by-step explanation:

Answer:

The mode is 78, which appears the most times (3).

The mode of the given data 62, 78, 84, 62, 72, 78, 54, 60, 78, 80 is 78.

The mode is the data that occurs most frequently, in the data set listed below 62, 78, 84, 62, 72, 78, 54, 60, 78, 80. We can see that the number 78 appears three times, which is more than any other value in the set when we look at the data.

Note: If multiple values occur with the same highest frequency, but in this case, 78 is the only mode, the data set may have multiple modes.

Thus, the mode of 62, 78, 84, 62, 72, 78, 54, 60, 78, and 80 data set is 78.

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Answer:

-72

Step-by-step explanation:

Answer:

-72

Step-by-step explanation:

multiply-12 x3^2 and then add 36

Answer:

a = -1.58

Step-by-step explanation:

1/3 +a+5/4 =0

1/3+5/4= -a

4+15/12 = -a

19/12 = -a

1.58= -a

1.58/-1 = -a/-1

-1.58 = a

I believe your answer should be C > -5/4

Answer:

the correct answer is option D

Answer:

Step-by-step explanation:

Cathy worked 4 hours.

4 hours = 4 * 60 = 240 minutes

She worked an additional 15 minutes which brings her total up to 255.

Doug worked 1 minute longer than Cathy.

Answer:

a.) Doug worked more. b.)The difference is one minute.

Step-by-step explanation:

CAN BE DONE DIFFERENTLY

Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.

60

x4

240

Now adding the 15 it'll be 255.

DOUG WORKED MORE.

DIFFERENCE IS 1 MINUTE.

let's move like the crab, backwards, let's get hmmm EF first

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{EF} \end{cases} \\\\\\ EF=\sqrt{ 17^2 - 10^2}\implies EF=\sqrt{ 189 }\implies EF\approx 13.7 \\\\[-0.35em] ~\dotfill\)

\(\sin( F )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{17}} \implies \sin^{-1}(~~\sin( F )~~) =\sin^{-1}\left( \cfrac{10}{17} \right) \\\\\\ F =\sin^{-1}\left( \cfrac{10}{17} \right)\implies F \approx 36^o \\\\[-0.35em] ~\dotfill\\\\ \cos(D )=\cfrac{\stackrel{adjacent}{10}}{\underset{hypotenuse}{17}} \implies \cos^{-1}(~~\cos( D )~~) =\cos^{-1}\left( \cfrac{10}{17} \right) \\\\\\ D =\cos^{-1}\left( \cfrac{10}{17} \right)\implies D \approx 54^o\)

Make sure your calculator is in Degree mode.

Answer:

The price of the socks is dollar 8

Pls mark nrainliest

Answer:

$8

Step-by-step explanation:

Using the information we already know, we can form an equation:

Let x be the socks' original price.

\((24+x)\) × \(0.75=24\)

Divide both sides by 0.75

\(24+x=32\)

Subtract 24 from both sides

\(x=8\)

The socks' original price was $8.

Answer: 30 days

Explanation: 12 x 20 = k, where k is a constant. 8x = k, where x is the number of days. So 12 x 20 = 8x, 8x = 240, x = 30 (30 days).

The stem-and-leaf plot is a visual representation of data that helps in organizing and summarizing numerical information. In this particular stem-and-leaf plot, the data range from 10 to 89. The stem values are represented by the tens digit, while the leaf values are represented by the ones digit.

The stem-and-leaf plot provided represents a dataset with 19 observations.

Looking at the stem values, we can see that the dataset includes observations in the range of 10 to 80. The most common stem values are 0 and 1, suggesting that the majority of the observations fall within this range. The stem value 8 occurs three times, indicating a relatively high frequency for this value.

Analyzing the leaf values, we can see that they range from 0 to 9. The highest leaf frequency occurs with the value 5, which appears five times. Leaf values 2, 3, and 4 occur three times each, indicating a moderate frequency for these values. The leaf value 9 appears twice.

Overall, the stem-and-leaf plot provides a visual representation of the spread and distribution of the dataset, allowing us to identify common values and their frequencies.

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The approximate difference in the lengths of the two segments is given as follows:

3.2 units.

The coordinates of the points have the following format:

\((x_1, y_1)\) and \((x_2,y_2)\)

Hence the distance is given as follows:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The length of a segment is given by the distance between it's two endpoints.

Hence the length of segment LF is given as follows:

\(D_{LF} = \sqrt{(3 - (-2))^2+(1 - 3)^2}\)

\(D_{LF} = \sqrt{29}\)

\(D_{LF} = 5.4\)

The length of segment JR is given as follows:

\(D_{JR} = \sqrt{(-3 - (-1))^2+(2 - 1)^2}\)

\(D_{JR} = \sqrt{5}\)

\(D_{JR} = 2.2\)

Hence the distance is of:

5.4 - 2.2 = 3.2 units.

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The weight of James cake in ounces is 52 ounces and the Pint of water dispensed in 20 seconds is 24 pints

1 pound = 16 ounces

Number of ounces the cake weigh = 3 1/4 pounds × 16 ounces

= 13/4 × 16

= (208) / 4

= 52 ounces

1 gallon = 4 quarts

0.15 gallon = 0.6 quarts

1 quart = 2 pints

0.6 quart = 1.2 pints

Pint of water dispensed in 20 seconds = 1.2 × 20

= 24 pints of water

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Step-by-step explanation:

answer is 10 am i right plzz correct it

The probability that exactly two of the sampled individuals have used a discount broker is approximately 0.2217 or 22.17%.

To calculate the probability of exactly two individuals in a random sample of nine having used a discount broker, we can use the binomial probability formula.

The binomial probability formula is given by:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)x^{2}\)

Where:

- P(X = k) is the probability of exactly k successes,

- n is the total number of trials (sample size),

- p is the probability of success on a single trial (probability of an individual investor using a discount broker), and

- (n choose k) represents the number of combinations of n items taken k at a time.

In this case, n = 9 (sample size) and p = 0.30 (probability of an individual investor using a discount broker).

\(P(X = 2) = (9 choose 2) * (0.30)^2 * (1 - 0.30)^(9 - 2)\)

Using the binomial coefficient formula (n choose k) = n! / (k! * (n - k)!) to calculate (9 choose 2), we can plug in the values:

\(P(X = 2) = (9 choose 2) * (0.30)^2 * (1 - 0.30)^(9 - 2)\)

\(P(X = 2) = (9! / (2! * 7!)) * (0.30)^2 * (0.70)^7\)

\(P(X = 2) = (36 / 2) * (0.30)^2 * (0.70)^7\)

P(X = 2) = 36 * 0.09 * 0.08235456

P(X = 2) ≈ 0.2217

Therefore, the probability that exactly two of the sampled individuals have used a discount broker is approximately 0.2217 or 22.17%.

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Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The fewest number of hours he would need to work to reach his goal of $280 is 28 hours working in the library.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Amount to earn = $280

Grocery store:

Earnings per hour = $8

1 hour = $8

Multiply 280/8 on both sides.

280/8 x 1 hour = $280

35 hours = $280

Library:

Earnings per hour = $10

1 hour = $10

Multiply 280/10 on both sides.

28 hours = $280

We see that,

Working in the Library would make $280 in fewer hours than working in the grocery store.

Thus,

The fewest number of hours he would need to work to reach his goal of $280 is 28 hours working in the library.

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Hii!

let me answer this for you before i head out!

So, how many days are in 1 week? 7.

To rent daily, we need to find out the price for 1 single month.

1 month is $154

7 times what is 154?

7x22 is 154

Therefore, to rent a room everyday, it would cost 22$ for the first month.

437 divided by 2 is 218

218 divided by 7 is 31

Hope it helps

Sorry if its wrong!

Answer:

y=5x-3

Step-by-step explanation:

y-intercept is always at the end

so it is y=mx-3

gradient replaces m

y=5x-3

Answer:

$11,970 is the price of the car before the discount

Step-by-step explanation:

Answer: It is the first and second choice

Step-by-step explanation:

I jus took the test on edge :)

The distance between the man's feet to the top of the monument is 640.858 ft.

The distance between the man's feet to the base of the monument is 320.42 ft.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc). T

Given :

60° angle of elevation from the ground.

Height of the monument = 555 ft.

Now, using trigonometry function

sin \(\theta\) = P/H

sin 60 = 555/ H

√3/2=  555/ H

Hypotenuse = 640.858 ft.

Again, cos \(\theta\) = B/H

1/2 = B/640.858

Base = 320.42 ft.

Hence, the distance between the man's feet to the base of the monument is 320.42 ft.

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Answer:

seeing as no one is answering I will