A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.
1.P(C | D) = 0.78
2.P(D | C) = 0.44
3.P(C ∩ D) = 0.11
4.P(C ∩ D) = P(D ∩ C)
5.P(C | D) = P(D | C)

Answers

Answer 1
check the venn diagram of the problem.

let the total number of the clients be 100.

since there are 11 clients with both cats and dogs, 

there are 32-11=21 clients with dogs but not cats

and 25-11=14 clients with cat but not dogs.

The number of clients with neither dogs nor cats is given by:

100-(21+11+14)=100-46=54


so we have the following:

P(C)=25/100=0.25
P(D)=32/100=0.32
P(C∩D)=P(D∩C)=11/100=0.11

we also have the formula P(A|B)=P(A∩B)/P(B), the formula of conditional probability

now we check each choice:

1. P(C|D)=P(C∩D)/P(D)=0.11/0.32=0.34
2. P(D|C)=P(D∩C)/P(C)=0.11/0.25=0.44
3  and  4 are already checked, and they are true
5. by 1 and 2, not true



Answer: 2, 3, 4 are True
A Veterinarian Surveys Her Clients And Finds That 32 Percent Of The Households Have Dogs, 25 Percent
Answer 2

The statements which are true based on the given sets of data are:

2.P(D | C) = 0.443.P(C ∩ D) = 0.114.P(C ∩ D) = P(D ∩ C)

What is a Set?

This refers to the grouping of data between different types of data within a range.

Based on the given information, we can see that

32% have dogs

25% have cats

11% has both cats and dogs

We can see that using a Venn diagram, we can make the graphical representation where there would be the intersection and Union of the data.

With this, we can see that options B, C and D are true because they satisfy the choosing events about the given set of data.


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Related Questions

PLEASE HELP!!!
How can one thirdx − 2 = one fourthx + 11 be set up as a system of equations?

3y − x = −6
4y − x = 44

3y + x = −6
4y + x = 44

3y − 3x = −6
4y − 4x = 44

3y + 3x = −6
4y + 4x = 44

Answers

1/3x - 2 = 1/4x + 11....it looks to me like one y was subbed in for another...

ur 2 equations are :
y = 1/3x - 2 and y = 1/4x + 11...but we need them in standard form...

y = 1/3x - 2
-1/3x + y = -2 ..multiply by 3
-x + 3y = -6.....or 3y - x = -6 <==

y = 1/4x + 11
-1/4x + y = 11 ...multiply by 4
-x + 4y = 44 or 4y - x = 44 <==

The system of equations are 3y − x = −6 and 4y − x = 4

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

One third x − 2 = one fourth x + 11

1/3x - 2 = 1/4x + 11

Now let us take y as 1/3x - 2

y= 1/3x - 2

3y=x-6

Subtract x on both sides

3y-x=-6

and Let us consider the right side equation

y=1/4x + 11

4y=x+44

Subtract x on both sides

4y-x=44

Hence, the system of equations are 3y − x = −6 and 4y − x = 44

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Which is equivalent to 5√1,215^x?

A)243x
B)1,215^1/5x
C)1,215^1/5x
D)243^1/x

Answers

Answer:

Option C is correct

The expression [tex](1215)^{\frac{1}{5}x}[/tex]  is equivalent to [tex]\sqrt[5]{1215^x}[/tex]

Step-by-step explanation:

Simplify the radical Expression: [tex]\sqrt[5]{1215^x}[/tex]

A radical expression can be written by using the exponents and also using the following procedure:

[tex]\sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

when x be non-negative then n can be any index

when x is negative, then n can be odd.

The following radical expression can be written as:

[tex]\sqrt[5]{1215^x} = (1215^x)^{\frac{1}{5}}[/tex] = [tex](1215)^{\frac{1}{5}x}[/tex]

Therefore, the expression [tex](1215)^{\frac{1}{5}x}[/tex]  is equivalent to [tex]\sqrt[5]{1215^x}[/tex]





What is the peremeter of this polygon? (With picture)

Answers

check the picture below.

so.. simply, use the distance formula, to get their length an add them up, and that's the perimeter of the polygon.


[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -1}}\quad ,&{{ 2}})\quad % (c,d) &({{ 2}}\quad ,&{{ 4}})\\ &({{ 2}}\quad ,&{{ 4}})\quad % (c,d) &({{ 3}}\quad ,&{{ -2}})\\ &({{ 3}}\quad ,&{{ -2}})\quad % (c,d) &({{ -2}}\quad ,&{{ -3}})\\ &({{ -2}}\quad ,&{{ -3}})\quad % (c,d) &({{ -1}}\quad ,&{{ 2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}[/tex]

[tex]\bf -------------------------------\\\\ d=\sqrt{[2-(-1)]^2+(4-2)^2}\implies d=\sqrt{(2+1)^2+(2)^2} \\\\\\ d=\sqrt{3^2+2^2}\implies \boxed{d=\sqrt{13}}\\\\ -------------------------------\\\\ d=\sqrt{(3-2)^2+(-2-4)^2}\implies d=\sqrt{1^2+(-6)^2}\implies \boxed{d=\sqrt{37}}\\\\ -------------------------------\\\\ d=\sqrt{(-2-3)^2+[-3-(-2)]^2}\implies d=\sqrt{(-5)^2+(-3+2)^2} \\\\\\ d=\sqrt{(-5)^2+(-1)^2}\implies \boxed{d=\sqrt{26}}[/tex]

[tex]\\\\ -------------------------------\\\\ d=\sqrt{[-1-(-2)]^2+[2-(-3)]^2}\implies d=\sqrt{(-1+2)^2+(2+3)^2} \\\\\\ d=\sqrt{(1)^2+(5)^2}\implies \boxed{d=\sqrt{26}}[/tex]

so, those are their lengths, sum them all up, that's the polygon's perimeter.

The top of a cliff overlooking the ocean is 250 feet above sea level. The sea floor at the foot of the cliff is 40 feet below sea level. A rock falls off the cliff and drops toe the sea floor. What number represents the change in elevation of the rock.

Answers

Final answer:

The change in elevation of the rock is 290 feet.

Explanation:

The change in elevation of the rock can be calculated by finding the difference in height between the top of the cliff and the sea floor.

Given that the top of the cliff is 250 feet above sea level and the sea floor is 40 feet below sea level, we can calculate the change in elevation by subtracting the elevation of the sea floor from the elevation of the top of the cliff.

The change in elevation is therefore 250 feet - (-40 feet), which simplifies to 250 feet + 40 feet = 290 feet. So, the number that represents the change in elevation of the rock is 290 feet.

WILL GIVE A BRAINLIEST IF UR RIGHT!!

Evaluate f(–2) in the given function below.

f(x)= 3x-3 if -5 ≤ x < 3 x+4 if 3 ≤ x ≤ 12


A.
–6
B.
–3
C.
2
D.
–9

Answers

F(x)=3x-3

f(-2)=3(-2)-3

f(-2)=-6-3=-9

so D is correct

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6 find the toal area of the pyramid

Answers

now, if you check the picture below, the top-side has the base alone, the hexagon, notice, if you divide a circle the 360° of a circle in 6 even angles, like the hexagon does, you end up with 6 angles of 60° each, and 6 equilateral triangles made by them, now, if you run an angle bisector, like we did on the bottom side of the hexagon, you end up splitting the angle in equal halves.

so.. then we end up with the a 30, 60, 90 angles triangle, and thus we apply the 30-60-90 rule, to get the apothem.

now the area of a regular polygon is just (1/2) (apothem)(perimeter).

now, we know the apothem, the perimeter of the hexagon is just 4+4+4+4+4+4.  So, just get those values, plug them in to get the area of the hexagonal base.

if you look at the picture bottom-side, the slant-height of the pyramid, is just the altitude/height of the triangular face.  So, you really have 6 triangles whose base is 4 and height is 6, and you know how to get the area of a triangle.

so, just get the area of the base, plus the area of the triangular faces, sum them up, and that's the total area of the hexagonal pyramid.

Why is it difficult to measure circumference accurately? answers?

Answers

One of either the circumference or distance across is not rational. If you have a bit of string precisely 1 inch long and you make it into an idealize circle, the distance across of that circle will be an irrational value. You could try to measure it, however regardless of how precisely you measured it, it would in any case not be very sufficiently precise. So, you can never know precisely what the diameter is just by measuring.

 

What's more, on the off chance that you took that string and made a width with it, the circumference would be irrational and you could never have the capacity to measure the circumference precisely enough. Whatever you quantified would be close however not correct.

HELP PLEASE!!! (I will give brainliest to the first one to answer)
Your friend lives exactly 3 miles south of your house. That means the distance between your houses is negative three (-3) miles. Answer yes or no and explain your answer.

Answers

I think It would be no because theres not reason for the 3 miles to your friends house to be negative

The statement that "the distance between your houses is negative three (-3) miles" is correct.

What is a cartesian coordinate?

A Cartesian coordinate system on a plane is a coordinate system in which each point is uniquely specified by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicularly oriented lines measured in the same unit of length.

If we assume that your house is the origin of a graph, and each unit square on the graph is equal to 1 square mile. Therefore, if your friend's house is exactly south of your house then it will be on the y-axis that too in the negative direction.

Therefore, the statement that "the distance between your houses is negative three (-3) miles" is correct.

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A game is biased such that the choices A-J have the following probabilities of winning: A 5% B 10% C 15% D 5% E 5% F 25% G 10% H 10% I 10% J 5% If you chose the letters D and H for 20 turns, how many times are you most likely to win? 1 2 3 4 5

Answers

Since we have chosen 2 letters, then the total probability of winning the game is the sum of the probabilities of each letter. Therefore:

Total probability of winning = Probability of D + Probability of H

Total probability of winning = 5% + 10%

Total probability of winning = 15%

Since we are playing the game for 20 turns, therefore out of those 20 games, we will win 15% of the time. So:   

15% = 0.15

Winning times = 0.15 * 20

Winning times = 3

 

Therefore we have a chance or probability to win at least 3 games out of 20 turns.

Answer:

C: 3

Step-by-step explanation:

How many years will it take $1,000 invested at 7% interest to earn $280?

Answers

7% of 1,000 is 70.
280/70 = 4
It will take 4 years.

For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e?

e ≥ 50 or e ≤ 100
e > 50 or e < 100
50 < e < 100
50 ≤ e ≤ 100

Answers

d is the answer
50 ≤ e ≤ 100

Answer:

The answer is D.

Step-by-step explanation:

We know this because it is an "and" problem because it is numbers in between, not outside.

We also know it is "no less" or "no more" than 50 or 100. so we use a less than and equal too. Not just a less than sign.

Really hoped this helped, kind of in a test right now so just giving a brief way of how to figure this stuff out.

Continue and have fun learning!

Boating across a river, the current moves you downstream. Instead of going directly across the river, the boat moves at a 10 degree angle. If the river is 420 feet across, how far downstream will you end up?

Answers

To solve this problem, we use the tan function. The distance across the river is the adjacent side, the distance drownstream is the opposite side while the direction of the boat is the hypotenuse.

tan θ = opposite side / adjacent side

tan 10 = opposite side / 420 ft

opposite side = 74.06 ft

Therefore the boat will move about 74 ft downstream.

the area of Juan's garden after he adds a border x feet wide is equal to (3+2x)(6+2x) which polynomial represents the area of Juan's garden?

A. 4x^4+30x+18
B. 4x^2+22x+27
C. 4x^2+18x+18
D. 4x^2+6x+18

Answers

 (3+2x)(6+2x) =
18 + 6x + 12x + 4x² = 
4x² + 18x + 18

Which of the following is a solution of x2 + 5x = −2?

5 plus or minus the square root of 33 divided by two.
5 plus or minus the square root of 17 divided by two
negative 5 plus or minus the square root of 33 divided by two.
negative 5 plus or minus the square root of 17 divided by two.

Answers

x^2 + 5x = -2
x^2 + 5x + 2 = 0

x = -b (+-) sqrt (b^2 - 4ac) / 2a
a = 1, b = 5, and c = 2

x = -5 (+-) sqrt (5^2 - 4(1)(2)) / 2(1)
x = -5 (+-) sqrt (25 - 8) / 2
x = -5 (+-) sqrt (17) / 2

answer is : negative 5 plus or minus the square root of 17 divided by 2

Answer:

negative 5 plus or minus the square root of 17 divided by two: [tex]x=\frac{-5\pm\sqrt{17}}{2}[/tex].

Step-by-step explanation:

We have the equation

[tex]x^2+5x=-2[/tex]

[tex]x^2+5x+2=0[/tex].

To solve it, we are going to use the general formula. This formula is used to find the solutions of quadratic equations.

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

where a is the coefficient of [tex]x^2[/tex], in this case a=1, b is the coefficient of x, in this case b=5 and c is the independent term, in this case c=2.

[tex]x=\frac{-5\pm\sqrt{5^2-4(1)(2)}}{2(1)}[/tex]

[tex]x=\frac{-5\pm\sqrt{25-8}}{2}[/tex]

[tex]x=\frac{-5\pm\sqrt{17}}{2}[/tex].

What would you do to isolate the variable in the equation below, using only one step? x + 5 = -12 Select one: a. Add 5 to both sides of the equation. b. Subtract 5 from both sides of the equation. c. Add 12 to both sides of the equation. d. Subtract 12 from both sides of the equation.

Answers

subtract 5 from both sides then it would look like x=-17   
Final answer:

To isolate the variable in x + 5 = -12, subtract 5 from both sides of the equation. This leads to the equation x = -12 - 5.

Explanation:

In order to isolate the variable x in the equation x + 5 = -12, you should subtract 5 from both sides of the equation. This gives us the equation in a simplified form that allows us to determine the value of x. The idea here is to cancel out the +5 on the left side by subtracting 5 from both sides, resulting in x = -12 - 5. Hence, the answer is option b.

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If at least one independent variable is between-groups and at least one is within-groups, the design is referred to as:

Answers

A variable is an object that you are trying to measure. It has two types; independent and dependent variable. An independent variable is a variable that is not affected by other variables. A dependent variable on the other hand is a variable that depends on the other variables. Suppose you want to know the quality of sleep of the students in their academic performance. The quality of sleep is the independent variable and the academic performance is the dependent variable. There are also controlled variables in an experiment. A controlled experiment is an experimental setup designed to test the hypotheses. It has one or more conditions (independent variables) and measures (dependent variables). It is necessary to change more than one variable, but all of the experimental conditions will be controlled so that only the variables being examined change and the amount or way of change is measured.

Consider the trinomial x2 – 9x + 18. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

Answers

x^2 - 9x + 18
AC = 18
Factors of AC: 1 * 18, 2 * 9, 3 * 6, -1 * -18, -2 * -9, -3 * -6
Sum to -9: 19, 11, 9, -19, -11, -9

(x - 3)(x - 6)

The required pair of number are -3 and -6

The factored form of the trinomial is (x-3) and (x-6)

The standard form of a quadratic equation is expressed as:

[tex]ax^2+bx+c=0[/tex]

Given the expression [tex]x^2 - 9x + 18.[/tex]

[tex]a=1\\b=-9\\c=18[/tex]

We are to get two values that we must add to get b, and that we will multiply that will give c.

The given values are -6 and -3

Check:

[tex]-6+(-3)=-6-3=-9\\-6(-3) = 18[/tex]

Factorize the trinomial

[tex]x^2-9x+18\\x^2-6x-3x+18\\x(x-6)-3(x-6)\\(x-3)(x-6)[/tex]

Hence the factored form of the trinomial is (x-3) and (x-6).

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Match the sets of points representing one-to-one functions with the sets of points representing their inverse functions.
Tiles
h = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
g = {(1,3), (2,6), (3,9), (4,12), (5,15), (6,18)}
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
i = {(1,1), (2,3), (3,5), (4,7), (5,9), (6,11)}
Pairs
Sets of Points Representing Inverse Functions Sets of Points Representing Functions
h-1 = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
arrowBoth
i -1 = {(1,1), (3,2), (5,3), (7,4), (9,5), (11,6)}
arrowBoth
g-1 = {(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)}
arrowBoth
f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
arrowBoth
NextReset

Answers

The answer is already given in your question. The inverse of a function
f is f-1, g is g-1, h is h-1 and i is i-1.

To explain why the inverse of 
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
is
f-1 = f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
and that of the other functions to their corresponding inverses is because of the definition of the inverse of a function which is
f = (x, y)
f-1 = (y, x)

Simply, the x and y coordinates of a function are interchanged to get the inverse of the function.

Each pair has the inverse points corresponding to the points in the original set.

To match the sets of points representing one-to-one functions with the sets of points representing their inverse functions, we need to find the pairs where each point in one set corresponds to the inverse point in the other set.

Here are the matches:

1. Set of Points Representing Function: [tex]\( h = \{(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)\} \)[/tex]

  Set of Points Representing Inverse Function: [tex]\( h^{-1} = \{(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)\} \)[/tex]

2. Set of Points Representing Function: [tex]\( g = \{(1,3), (2,6), (3,9), (4,12), (5,15), (6,18)\} \)[/tex]

  Set of Points Representing Inverse Function: [tex]\( g^{-1} = \{(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)\} \)[/tex]

3. Set of Points Representing Function: [tex]\( f = \{(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)\} \)[/tex]

  Set of Points Representing Inverse Function: [tex]\( f^{-1} = \{(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)\} \)[/tex]

4. Set of Points Representing Function: [tex]\( i = \{(1,1), (2,3), (3,5), (4,7), (5,9), (6,11)\} \)[/tex]

  Set of Points Representing Inverse Function: [tex]\( i^{-1} = \{(1,1), (3,2), (5,3), (7,4), (9,5), (11,6)\} \)[/tex]

Each pair has the inverse points corresponding to the points in the original set.

Describe the relationship between the segments made when secant lines intersect outside a circle. Use the following image as reference.

Answers

Let the extensions of secants AD and BC meet at point P.

Let the measure of ar DC be 2a, then m(DAC)=m(DBC)=a, since angles DAC and DBC are both inscribed angles intercepting arc DC.

m(P)=b.

Then triangles APC and BPD are similar, because they have 2 pairs of common angles.

from the similarity of APC and BPD, we can write the ratios:

[tex] \frac{AP}{BP} = \frac{PC}{PD} = \frac{AC}{BD} [/tex]

The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York:

           High   Low   Q1     Q3    IQR   Median    Mean        σ
Rome 18         1        3       7       4         6.5       6.4           4.3
NY      14        1       4.5    8.5      4        5.5        6.1            3.2

Which of the choices below best describes how to measure the center of this data?

- Both centers are best described with the mean.

-Both centers are best described with the median.

- The Rome data center is best described by the mean. The New York data center is best described by the median.

-The Rome data center is best described by the median. The New York data center is best described by the mean.

Answers

Final answer:

For Rome, both the mean and the median are almost identical, suggesting a well-balanced data set and either can be used to describe the center. For New York, the median might be a better measure if the data are skewed or contain outliers, but more information would be needed to make a definitive judgment.

Explanation:

When considering the best measure to describe the center of a data set, we should look at the presence of outliers and the distribution of the data. The mean is the numerical average and is sensitive to extreme values, while the median is the middle value that splits the data set in half and is less affected by outliers.

For Rome, the mean is 6.4 and the median is 6.5, which are very close to each other, indicating that the data is likely symmetric without extreme outliers. Thus, in Rome's case, either the mean or the median could serve as a good measure of center. On the other hand, New York's mean is 6.1 and the median is 5.5, suggesting slightly skewed data or the presence of outliers. However, without more data points or visual representation, it's difficult to determine which is more representative solely based on these summary statistics.

Considering the provided values and common statistical practice, the centers can potentially be described as follows:

The Rome data center can be best described by either the mean or the median as they are similar.

The New York data center might be best described by the median if outliers or skewness are present.


Find the area of the figure. PLEASE HELP

Answers

find area of larger figure

then subtract area of cut out

 larger figure 40 *36 = 1440 square yards

cut out = 20 *10 = 200 square yards

1440-200 = 1240 square yards total

A = 40*36 - 20*10 = 1440 - 200 = 1240 yd²

The fraction 10/19 is in lowest terms

Answers

Answer:

True

Step-by-step explanation:

The price of a community pool membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function y = 20x + 50, where x is the number of months.

What is the slope, and what does it represent?

Answers

the slope in this equation is 20. This represents the monthly fee. Every month u go, u pay 20 bucks

Answer:

The answer is 20 and it represents the monthly fee.

Step-by-step explanation:


A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.6%, predict how many of the phones are likely to be defective. Round to the nearest whole number.
A.)16 phones
B.)11 phones
C.)13 phones
D.)130 phones

Answers

2.6% of 500 =
0.026(500) = 13 <==

Can someone please answer this for me I'm begging

Answers

if the length of JK is 16.4 miles, it will be diameter of this circle, the radius will be JK/2 = 8.2 miles

As we know the length of circle is 2π*r  in this case r = 8.2

The arc JM is 1/4 length of the whole circle so arc JM = (2π*8.2)*(1/4) = 2π*8.2/4 = π*8.2/2 = π*4.1

if we assume that π=3.14 the answer will be 3.14 * 4.1 = 12.874.... And as the answer needs to be rounded to the nearest tenth it will be 12.874≈12.9

So the answer will be 12.9

(03.05 LC)

What is the volume of a cone (in cubic inches) with a radius of 3 inches and a height of 6 inches?

Use 3.14 for π. Round your answer to the nearest hundredth.
18.84 cubic inches
28.26 cubic inches
56.52 cubic inches
169.56 cubic inches

Answers

V = 1/3 * a_base * height, a_base = pi * r^2

V = 1/3* pi * 3^2*6 = 56.54 cubic inch,

so ... Third one!!

The volume of the cone is 56.52 cubic inches.

What is a cone?

Having a flat base and a smooth tapering tip or vertex, a cone is a three-dimensional geometric object.

Given, the radius of the cone is 3 inches and the height of the cone is 6 inches.

The volume of a cone is given by,

V=(1/3)πr²h

V = (1/3) × 3.14 × 3² ×6

V = 56.52 cubic inches

Hence, the volume of the cone is 56.52 cubic inches.

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Find the missing value. Show your work
(GEOMETRY, PLEASE HELP!!)

Answers

sin51=y/12

y=12sin51 units

y≈9.33 units (to nearest hundredth of a unit)

...

tanα=12/5

α=arctan2.4°

α≈67.38°  (to nearest hundredth of a degree)

...

tan13=x/24

x=24tan13 units

x≈5.54 units (to nearest hundredth of a unit)

...

sin20=10/x

x=10/sin20 units

x≈29.24 units (to nearest hundredth of a unit)

What is the slope of the line determined by any two solutions to the equation $\frac{2}{x}+\frac{3}{y} = 0$? Express your answer as a common fraction.

Answers

Final answer:

To determine the slope, solve for y in terms of x, resulting in the equation y = (-3/2)x. Hence, the slope of the line described by the equation 2/x + 3/y = 0 is -3/2.

Explanation:

To find the slope of the line determined by any two solutions to the equation 2/x + 3/y = 0, let's begin by solving for y in terms of x.

First, we isolate the term 3/y:

2/x = -3/y

Then we cross-multiply and get:

2y = -3x

Now we solve for y:

y = (-3/2)x

This is now in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, there is no y-intercept since the line passes through the origin.

The slope m is -3/2. So any two solutions to the original equation will yield a line with a slope of -3/2.

Are theses right ? Or are some wrong please let me know wrong and right ones

Answers

I can't find any mistakes (wolframmed them). Make sure you do use parenthesis (you missed one in 10). Without the parenthesis, officially they would be incorrect.

on a particular day, the Dow Jones had a rate of change of 2.8%. Which of the following statements must also be true?
-The average of the 30 stocks in the Dow Jones increased.
-The NASDAQ decreased.
-The S&P 500 increased.
-Every stock in the Dow Jones increased.

Answers

The answer to the question is, "The average of the 30 stocks in the Dow Jones increased." The Dow Jones is an Industrial Average that tracks the daily performance of 30 large and popular company stocks. If the Dow Jones had a 2.8% change in value, that means the overall global average of those 30 companies increased by 2.8%.

Answer

THE AVERAGE OF THE 30 STOCKS IN THE DOW JONES INCREASED

Step-by-step explanation:

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