How would you explain to solve proportions

Answer:

y=4.47 and x=√10

Step-by-step explanation:

180°-45°-90°=45°

√10/(sin 45°)=y/(sin 90)

y=4.47

√10/(sin 45°)=x/(sin45)

x=√10

Answer:

True

Step-by-step explanation:

Cus

The value of the function f(-3) in f(x) = -2x² + 3x - 6 is -33

from the question, we have the following parameters that can be used in our computation:

f(x) = -2x² + 3x - 6

To find the value of f(-3). we set x = -3

Using the above as a guide, we have the following equation

f(-3) = -2(-3)² + 3(-3) - 6

Evaluate the expression

f(-3) = -33

Hence, the solution is f(-3) = -33

Read more about function at

https://brainly.com/question/28277110

#SPJ1

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{7}{4}}x+2\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{7}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{7}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{7} }}\)

so we're really looking for the equation of a line whose slope is -4/7 and it passes through (2 , -2)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{4}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{- \cfrac{4}{7}}(x-\stackrel{x_1}{2}) \implies y +2 = - \cfrac{4}{7} ( x -2) \\\\\\ y+2=- \cfrac{4}{7}x+\cfrac{8}{7}\implies y=- \cfrac{4}{7}x+\cfrac{8}{7}-2\implies {\Large \begin{array}{llll} y=- \cfrac{4}{7}x-\cfrac{6}{7} \end{array}}\)

The minimum height in the top 15% of heights is approximately 75.81 inches.

To find the minimum height in the top 15% of heights, we need to determine the z-score corresponding to the 85th percentile and then convert it back to the original measurement using the mean and standard deviation.

First, we find the z-score using the standard normal distribution table. The z-score corresponding to the 85th percentile is approximately 1.036.

Next, we use the formula:

z = (x - μ) / σ

Rearranging the formula to solve for x, we have:

x = z * σ + μ

Plugging in the values, we get:

x = 1.036 * 2.7 + 73.4

Calculating this, we find:

x ≈ 75.81

Know more about z-score here;

https://brainly.com/question/31871890

#SPJ11

The probability that the sample mean would be less than 143.5 millimeters is 0.1695.

The p-value is a quantitative value that allows us to determine whether a null hypothesis (or claimed hypothesis) is true. Determining the p-value allows us to determine whether we should reject or not reject a claimed hypothesis. We set the significance level, which serves as the cutoff level, for whether a hypothesis should be rejected or not. This cutoff point is also called the alpha level (α). Typical values for the alpha levels are 0.1%, 0.5%, 1%, 2.5%, 5%, 10%, 20%, 25%, and 40%.

If the p-value is less than α, then this represents a statistically significant p-value. This means that we can reject the claimed hypothesis. If the p-value is greater than or equal to α, we cannot reject the claimed hypothesis. To calculate the p-value, this calculator needs 4 pieces of data: the test statistic, the sample size, the hypothesis testing type (left tail, right tail, or two-tail), and the significance level (α).

n = 34

Mean = μ = 145 mm

Variance = σ² = 49

∴ Standard deviation =  σ = √49 = 7

\(Z = \frac{value-mean}{standard deviation}\)

The probability required is the difference of the p-value of Z when X = 145 - 1.5 = 143.5 and when X = 145 + 1.5 = 146.5.

When X = 143.5:

z = x - μ/ σ = 143.5 - 145/ 7 = -1.5/7 = -0.2142

p-value is 0.4152

When X = 146.5:

z = x - μ/ σ = 146.5 - 145/ 7 = 1.5/7 = 0.2142

p-value is 0.5847.

The probability required is 0.5847 - 0.4152 = 0.1695

Thus, the probability that the sample mean would be less than 143.5 millimeters is 0.1695.

To learn more about probability, visit brainly.com/question/30034780

#SPJ4

To determine which of the two graphs (Boxplot and Histogram) shows an outlier in the distribution of the quantitative variable, we need to understand the characteristics of outliers in each type of graph.

An outlier is a data point that significantly deviates from the rest of the data in a distribution. Here's how outliers are represented in Boxplots and Histograms:

a) Boxplot only: If an outlier exists in the distribution, it will be shown as a separate data point outside the whiskers (the lines extending from the box) in the Boxplot. The Boxplot provides a visual representation of the quartiles and any outliers present.

b) Both Histogram and Boxplot: If an outlier exists in the distribution, it may be evident in both the Histogram and the Boxplot. The Histogram shows the frequency or count of data points in each bin or interval, and an outlier can be observed as an extreme value far from the majority of the data. In addition, the Boxplot will display the outlier as mentioned above.

c) Neither: If there are no outliers in the distribution, neither the Histogram nor the Boxplot will show any data points or indicators outside the expected range. The data points will be distributed within the usual range of the distribution, and no extreme values will be present.

d) Histogram only: In some cases, an outlier may be noticeable in the Histogram but not explicitly shown as a separate data point in the Boxplot. This can happen when the outlier is not extreme enough to be considered as an outlier based on the specific criteria used to determine outliers in the Boxplot.

Without examining the actual graphs or having specific information about the data, it is not possible to determine with certainty which option (a, b, c, or d) is correct. To make a definitive determination, you would need to analyze the graphs and assess the presence of extreme values that deviate significantly from the majority of the data.

Learn more about Boxplot and Histogram at https://brainly.com/question/33001489

#SPJ11

Answer:

\(-4<x<2\)

Step-by-step explanation:

\(-1<x+3<5\)

\(-1-3<x+3-3<5-3\) (Subtract \(3\) from the entire inequality to isolate \(x\))

\(-4<x<2\) (Simplify)

Hope this helps!

Answer:

Addition combines any two or more numbers. Subtraction reduces a number which makes it less of a value. Division seperates a number into equal amounts.

Step-by-step explanation:

The civil engineer can build his house on a rectangular platform of 10 meters long by 8 meters wide with a corridor of uniform width of 2.05 meters.

Let's call the width of the corridor "w". Since the corridor runs around the perimeter of the rectangle, we can calculate its total area by subtracting the area of the house from the area of the rectangle:

Total area of corridor = Area of rectangle - Area of house

Total area of corridor = 80 - 48

Total area of corridor = 32 square meters

Now we can use the formula for the area of a rectangle to calculate the width of the corridor:

Area of rectangle = length x width

Total area of corridor = (10 + 2w) x (8 + 2w) - 80

32 = 2w² + 36w

2w² + 36w - 32 = 0

We can solve this quadratic equation using the quadratic formula:

w = (-b ± √(b² - 4ac)) / 2a

where a = 2, b = 36, and c = -32. Plugging these values into the formula, we get:

w = (-36 ± √(36² - 4(2)(-32))) / 4

w = (-36 ± √(1680)) / 4

w ≈ 2.05 or w ≈ -8.05

Since the width of the corridor cannot be negative, we can disregard the negative solution and conclude that the width of the corridor is approximately 2.05 meters.

To know more about rectangle here

https://brainly.com/question/8663941

#SPJ1

Complete Question:

A Civil Engineer wants to build his house downtown of a rectangular  platform of 10 meters long by 8 meters wide, the area of ​​the house is 48 square meters, the part not built is a corridor of uniform width. How many meters is the width of the hallway?

Answer:

I assume that says \(x^2=-1\), but that is the case because when we square a number, we can NEVER get a negative number. The smallest square we can get is 0. 1^2 is 1, and no real number squared gives us a negative number.

Step-by-step explanation:

Two squares are chosen at random on a chessboard. The probability that they have a side in common is 1/18. Which is an option (C).

A chessboard is an 8x8 checkerboard with 64 squares of alternating colors, which are typically black and white, or dark and light-colored.

The board has eight horizontal ranks and eight vertical files. Chess pieces are placed on the chessboard, and their movements across the board are controlled by the rules of the game.

A chessboard has 8 rows and 8 columns, making a total of 64 squares. The total number of ways to choose two squares is \(64\choose2\) = 2016.

There are two ways that two squares can have a side in common: they can be in the same row or the same column. If they are in the same row, there are 8 rows and 7 ways to choose two adjacent squares in each row, for a total of 8 * 7 = 56 ways. If they are in the same column, there are also 56 ways.

So the total number of ways to choose two squares with a side in common is 56 + 56 = 112.

Therefore, the probability that two randomly chosen squares have a side in common is 112/2016 = 1/18. Hence, the correct option is (C).

To know more about square: https://brainly.com/question/27307830

#SPJ11

The value of the discriminant for the equation "2x² + 5x + 3"  is 1 , and the it has 2 real and rational roots .

The Discriminant of a quadratic equation of the form of ⇒ "ax² + bx + c" is calculated  by the expression "b² - 4ac"  .

the values of the variables "a", "b" and "c" ; for quadratic equation "2x² + 5x + 3" ,

the value of  a is = 2, b is = 5, and c is = 3.

substituting values ;

So , the discriminant is ⇒ b² - 4ac

⇒ 5² - 4×2×3  ;

⇒ 25 - 24

⇒ 1

Since , the discriminant is (1)positive, which means that the equation has 2 real roots. and since, discriminant is a perfect square, that means the roots are rational numbers.

Learn more about Discriminant here

https://brainly.com/question/28851429

#SPJ4

The given question is incomplete , the complete question is

Find the value of the discriminant for the equation 2x² + 5x + 3 , and then describe the number and type of roots for the equation .

Using it's concept, it is found that the independent variable is the number of hours worked.

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In this problem, the input is the number of hours worked and the output is the salary, hence, the independent variable is the number of hours worked.

More can be learned about independent variables at https://brainly.com/question/1429012

I think its option D

Answer:

20 students bought sandwichs and 16 students bought orange juice.

20 x 3 = 60

16 x 1 = 16

60 + 16 = 76

The expression that would best fit the situation is: "Andy descended five flights of stairs, and then ascended three floors."

What is Algebraic expression ?

An algebraic expression is a mathematical phrase that can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Algebraic expressions are used to represent and solve problems in many areas of mathematics, science, engineering, and finance.

Andy walked down five flights of stairs, and then he walked back up three floors.

The expression that would best fit the situation would be:

Andy descended five flights of stairs, and then ascended three floors.

Therefore, the expression that would best fit the situation is: "Andy descended five flights of stairs, and then ascended three floors."

To learn more about Algebraic expression from given link.

brainly.com/question/31238826

#SPJ1

Finally, Alicia could finish the edges of the quilt by sewing on binding or hemming the edges to create a polished look.

What is Trapezoid ?

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases, and the non-parallel sides are called the legs. The height of a trapezoid is the perpendicular distance between the two bases.

it seems like Alicia has started to create a patchwork quilt using triangular and trapezoidal pieces of fabric arranged in a tessellation pattern.

To continue making the quilt, Alicia could continue adding more triangular and trapezoidal pieces of fabric in a similar tessellation pattern until the entire quilt is filled. She could experiment with different colors and patterns of fabric to create a unique and interesting design.

Once Alicia has arranged all the pieces of fabric, she could sew them together using a sewing machine or by hand to create a finished patchwork quilt. She may need to trim the edges of the quilt to ensure that they are straight and even, and then she could add a backing fabric and batting to create a comfortable and warm quilt.

Therefore, Finally, Alicia could finish the edges of the quilt by sewing on binding or hemming the edges to create a polished look.

To learn more about Trapezoid from given link.

https://brainly.com/question/12221769

#SPJ1

Answer: y = -3x + 5

Step-by-step explanation:

slope = m

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-4)}{1-3}=\frac{6}{-2}=-3\)

y = mx + b, (3,-4), (1,2), m = -3

(both points work for the y = mx + b equation)

\(y=mx+b\\2=-3(1)+b\\2=-3+b\\b=5\\y=-3x+5\)

Answer:

Step-by-step explanation:

The sum of 3 angles in any triangle are equal to 180°

So:

1.) 57 + 81 = 138

2.) 180 - 138 = 42°

Answer: 42°

Answer:

0.05

Step-by-step explanation:

Answer:

6. 11.3 Miles

7. 1.5 Miles

8. No he would need 26 Miles , he only has 25 Miles.

9. 11.25 Miles

10. Not really it slightly goes over by about .80

Answer:

6: 15miles

7: 17miles

8: No, because just by going to the grocery is 13miles (times2) that's 26

9: 11.2 (not sure)

10: No, he said 5miles, the park is 5.8miles away from his house. (you don't have to but rounded is 6miles so he cant reach the park)

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

If those are absolute value bars the value is 21

Answer:

Multiply the radius by 2

Step-by-step explanation:

The diameter of a circle is 2times the radius of the circle. Do you know the radius? If so multiply that number by 2 and get the answer

To solve the given problems, we'll use the properties of the normal distribution with mean μ = 100 and standard deviation σ = 10.

a. Probability that X > 85:

To find this probability, we need to calculate the area under the normal curve to the right of 85. We can use the standard normal distribution table or a calculator to find the corresponding z-score and then use the z-table to find the probability.

First, let's calculate the z-score:

z = (X - μ) / σ

z = (85 - 100) / 10

z = -15 / 10

z = -1.5

Using the z-table or a calculator, we find that the probability of Z > -1.5 is approximately 0.9332.

Therefore, the probability that X > 85 is 0.9332 (rounded to four decimal places).

b. Probability that X < 80:

Similarly, we'll calculate the z-score for X = 80:

z = (X - μ) / σ

z = (80 - 100) / 10

z = -20 / 10

z = -2

Using the z-table or a calculator, we find that the probability of Z < -2 is approximately 0.0228.

Therefore, the probability that X < 80 is 0.0228 (rounded to four decimal places).

c. Probability that X < 90 or X > 130:

To calculate this probability, we'll find the individual probabilities of X < 90 and X > 130, and then subtract the probability of their intersection.

For X < 90:

z = (90 - 100) / 10

z = -10 / 10

z = -1

Using the z-table or a calculator, we find that the probability of Z < -1 is approximately 0.1587.

For X > 130:

z = (130 - 100) / 10

z = 30 / 10

z = 3

Using the z-table or a calculator, we find that the probability of Z > 3 is approximately 0.0013.

Since these events are mutually exclusive, we can add their probabilities:

P(X < 90 or X > 130) = P(X < 90) + P(X > 130)

P(X < 90 or X > 130) = 0.1587 + 0.0013

P(X < 90 or X > 130) = 0.1600

Therefore, the probability that X < 90 or X > 130 is 0.1600 (rounded to four decimal places).

d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?

To find the two X-values, we need to find the corresponding z-scores for the cumulative probabilities of 0.005 and 0.995. These probabilities correspond to the tails beyond the 99% range.

For the left tail:

z = invNorm(0.005)

z ≈ -2.576

For the right tail:

z = invNorm(0.995)

z ≈ 2.576

Now we can find the corresponding X-values:

X1 = μ + z1 * σ

X1 = 100 + (-2.576) * 10

X1 = 100 - 25.76

X1 ≈ 74.24

X2 = μ + z2 * σ

X2 = 100 + 2.576 * 10

X2 = 100 + 25.76

X2 ≈ 125.76

Therefore, 99% of the values are greater than 74.24 and less than 125.76 (rounded to two decimal places).

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

#SPJ11

Answer:

yes segment DE and AB are parallel

Answer:

CB = (CE*AC)/CD

Which agrees with the second answer listed

Step-by-step explanation:

We use the proportion among similar triangles:

CE/CD = CB/AC

and solve for CB:

CB = (CE*AC)/CD

Which agrees with the second answer listed

Given:

3(4y + 4z - 9)​

Using distributive to write an equivalent expression,we have:

3*4y + 3*4z - 3*9

= 12y + 12z - 27

The equivalent expression is:

12y + 12z - 27

Answer:

A área de um quadrado cujo perímetro é de 320 m é 6400 m2

Step-by-step explanation:

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

To know more about Convenience purchases:

https://brainly.com/question/30247858

#SPJ4