If P(A)=0.35, then the probability of the complement of A is

0.55

-0.35

0.35

0.65

Answer:

B

Step-by-step explanation:

Since a quadrilateral has an angle sum of 360 degrees you just add the three angle measures together and subtract them from 360 leaving you with 108.

The angle which is outside is supplementary which means it adds to 180 degrees. All you have to do here is subtract 71 from 180 which gives you 109.

It’s B) x=108,y=109

Es la respuesta

Answer:

6/7 of a carton

Step-by-step explanation:

Option 1:

add: 2/7+2/7+2/7 = 6/7

Option 2:

multiply 2/7 * 3/1 = 6/7

The milk he drinks in 3 days should be 6 by 7.

Ken drinks 2/7 of a carton of milk each day.

Here we have to add [tex]2 \div 7[/tex] three times so it gives [tex]6 \div 7[/tex]

Now the milk should be

[tex]= 2\div 7 \times 3\div 1 \\\\= 6\div 7[/tex]

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Answer:

0 degrees

Step-by-step explanation:

when it is hour 12 and 0 minutes, the hour and minute hand will be on top of each other, so therefore it does not form an angle

The total fabric required to make a tent in the shape of a triangular prism with the given measures is 1162 square feet.

To calculate the amount of fabric required to make a tent in the shape of a triangular prism, we need to calculate the surface area, which is essentially the sum of the areas of all the faces.

The measures provided are presumably the areas of each of the faces of the triangular prism (273 ft^2, 329 ft^2, 294 ft^2, and 266 ft^2). In which case, we simply add these areas together:

273 ft^2 + 329 ft^2 + 294 ft^2 + 266 ft^2 = 1162 ft^2

Therefore, the total fabric required is 1162 square feet.

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To calculate the amount of fabric needed for a triangular prism-shaped tent, find the area of each face and add them together.

To find the amount of fabric needed to make a triangular prism-shaped tent, we need to calculate the surface area of all the faces. A triangular prism has two triangular bases and three rectangular faces. First, find the area of each face: base = 273 ft2, height = 329 ft2, and second base = 294 ft2. Then, calculate the area of the three rectangular faces: length = height of the triangular face = 329 ft2, and the other two lengths are the same as the base or second base.

So, the total fabric needed is the sum of the areas of all the faces. Add the areas of the two triangular faces and the three rectangular faces to find the final answer.

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Answer:

  2

Step-by-step explanation:

The rule for secants from an external point is that the product of the near and far distance to the intersection with the circle is a constant.

  EA·EB = EC·ED

  (x+12)·(x+1) = (x+4)·(x+5)

  x^2 +13x +12 = x^2 +9x +20 . . . . . . eliminate parentheses

  4x = 8 . . . . . . . . . . . . subtract x^2+9x+12 from both sides

  x = 2 . . . . . . . . . . . . . divide by 4

The value of x is 2.

Answer:

Option a.

-1.144 , 1.144

Step-by-step explanation:

Since we are dealing with trascendental equations, it is best if we solve the problem graphically with the help of a calculator or any plotting tool.

Please, see attached image

We graph both equations and find the intersection between them in the interval from -pi to pi

This will give the solution to the equation

tan(x) = 2* csc(x)

The answer is

x = -1.144

x =  1.144

The question requires solving a trigonometric equation tan x = 2 csc x by using trigonometric identities to express it in terms of sine and cosine and then finding the approximate solutions within the interval -π to π.

The student is asking for an approximate solution for a trigonometric equation within a specified interval. The equation given is tan x = 2 csc x. To solve this trigonometric equation, you need to use trigonometric identities to express both sides of the equation in terms of a single trigonometric function and then find the values of x that satisfy the equation within the given interval.

To start with, we can use the identity csc x = 1/sin x and then rewrite the equation as tan x = 2/sin x. Since tan x = sin x/cos x, we can now express the equation purely in terms of sine and cosine:

sin x/cos x = 2/sin x

Multiplying both sides by sin x cos x, we obtain sin2 x = 2 cos x. From here, we can use numerical methods or graphing techniques to find an approximate solution for x within the interval -π to π.

Use the rule to change the base

[tex]\log_a(b) = \dfrac{\log_c(b)}{\log_c(a)}[/tex]

To express both logarithms in terms of the natural logarithm (for example, any common base would be fine:

[tex]\log_c(x) = \dfrac{\ln(x)}{\ln(c)},\quad \log_d(x) = \dfrac{\ln(x)}{\ln(d)}[/tex]

Since the natural logarithm is an increasing function, we have

[tex]c<d\implies \ln(c)>\ln(d)[/tex]

which implies

[tex]\dfrac{\ln(x)}{\ln(c)}=\log_c(x)<\log_d(x)=\dfrac{\ln(x)}{\ln(d)}[/tex]

(132°-x)+(6x-12°) = 180°(Co-interior Angles)

132°-12°-x+6x = 180°

120° + 5x = 180°

5x = 180° - 120°

5x = 60°

x = 12°

(132°-x)+(6y+18°) = 180°(Co-interior Angles)

132°-x+6y+18°=180°

132°-12°+18°+6y=180°

138°+6y=180°

6y=180°-138°

6y=42°

y = 7°

HOPE THIS WILL HELP YOU

Answer:

(f/g)(-5) = 5

Step-by-step explanation:

You mean, "determine the value of (f/g)(x) at x = -5."

That would be:

f(x)        2x - 20

------- = ------------   and we now substitute -5 for x:

g(x)         x - 1

                  2(-5) - 20      -30

 (f/g)(-5) = --------------- = -------- = 5

                     -5 -1              -6

Answer:

The answer is vertical translation down 9 units  ⇒ answer (d)

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) - k

* Lets study the problem

- The basic function is y = csc(x)

∵ y = csc(x) - 9

- That means the function translated vertically 9 units down

* Vertical translation 9 units down

* Look to the graph

-The red graph is y = csc(x)

- The green graph is y = csc(x) - 9

Explanation:

For each exponent inside the radical, you will divide it over the root index. The root index is the small number to the left and above the radical symbol. So the root index is 6 in this case.

Divide each exponent over 6

3/6 = 1/2 is the final exponent for x

18/6 = 3 is the final exponent for y

which is how we get to x^(1/2)*y^3

--------------------

note: x^(1/2) is the same as the square root of x

[tex]x^{1/2} = \sqrt{x}[/tex]

The more general rule is

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

Let's start with the formula for the area of a triangle

[tex] \frac{1}{2} bh[/tex]

And for the first one, insert the numbers

[tex] \frac{1}{2} 3 \times 6[/tex]

To make this easier, 3×6=18, 1/2 of 18 is 9, so the answer is 9 square feet. There's all you need to complete the rest, good luck .

the answer to this question is d

Answer:

A

Step-by-step explanation:

An equivalent expression is an expression which is equal to (x-9)(2x^2-6x+3). You can expand or simplify an expression to make an equivalent expression. Apply the distributive property to form a new equivalent expression by multiplying (x-9) separately into the factor in parenthesis.

(x-9)(2x^2-6x+3)  = x(2x^2-6x+3) - 9(2x^2-6x+3)

Answer:

(-2, 0)

Step-by-step explanation:

Because both equations are to find Y, set them equal to each other to solve:

3x+6 = x+2

Subtract x from both sides:

2x + 6 = 2

Subtract 6 from both sides:

2x = -4

Divide both sides by 2:

x = -4 /2

x = -2

Now you have a value for x, replace X with -2 in one of the equations and solve for y:

y = 3x +6 = 3(-2) +6 = -6 +6 = 0

X = -2 and Y = 0

(-2,0)

Answer:

Step-by-step explanation:

Since n < 30, we will find the t-score and compare that to the t-score of a significance level of 1%.    

Since they are asking if the difference is significant, we will have a two tailed test, with degree of freedom being 22, so our critical values are

t < -2.704 and t > 2.704

Our t-value for this situation is

t = ([µ + 5.8] - µ)/(1.4/√23)

It's µ + 5.8 because the problem told us that their levels are 5.8 mm higher than the average, so it's the average, plus 5.8

Simplify the equation...

t = 5.8/(1.4/√23)

t = 19.868

19.868 > 2.704, the evidence supports that there is significant difference between the sample and the population

There is a significant difference between the sample and the population.

A standard deviation (or σ) indicates how dispersed the data is in relation to the mean.

The t-distribution indicates the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

A t-score is the number of standard deviations away from the mean of the t-distribution.

Here the degree of freedom is 22 and so the critical values are:

t < -2.704 and t > 2.704

∴ The t-value for this situation is

t = ([µ + 5.8] - µ)/(1.4/√23)

⇒ t = 5.8/(1.4/√23)

⇒t = 19.868

So, we can say that there is significant difference between the sample and the population.

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Answer:

The measure of arc AB is [tex]88\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<ACB=\frac{1}{2}(arc\ AB)[/tex]

we have

[tex]m<ACB=44\°[/tex]

substitute

[tex]44\°=\frac{1}{2}(arc\ AB)[/tex]

[tex]88\°=arc\ AB[/tex]

rewrite

[tex]arc\ AB=88\°[/tex]

The measure of arc AB is 88°

The inscribed angle measures half that of the arc comprising

so

[tex]m < ACB=(1)/(2)(arc\ AB)[/tex]

we have

[tex]m < ACB=44°[/tex]

substitute

[tex]44\°=(1)/(2)(arc\ AB)[/tex]

[tex]88\°=arc\ AB[/tex]

rewrite

[tex]arc\ AB=88\°[/tex]

Total Outcomes = {1,2,3,4,5,5}

Less than 5 = {1,2,3,4}

P(less than 5) = 4/6 = 2/3

The correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.  

The formula for converting celsius to Fahrenheit is expressed as shown below;

(T°C * 9/5) + 32 = T°F

Given the following

T°C = 24°C

Substitute

(24 * 9/5) + 32 = T°F

multiply the value of C by 9/5

43.2 + 32 = T°F

Then add 32

T°F = 74.2°F

Hence the correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.  

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Answer:The correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.  

Step-by-step explanation:

Conversion of celsius to Fahrenheit

The formula for converting celsius to Fahrenheit is expressed as shown below;

(T°C * 9/5) + 32 = T°F

Given the following

T°C = 24°C

Substitute

(24 * 9/5) + 32 = T°F

multiply the value of C by 9/5

43.2 + 32 = T°F

Then add 32

T°F = 74.2°F

Hence the correct steps to take are substitute 24 for C, Multiply the value of C by 9/5 before adding 32.  

➷ 25,000 - 2500 = 22500

22500 + 10,000 = 32,500

The correct answer would be option D. $32,500

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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Answer:

Step-by-step explanation:

I would have to go with D. The 25,000 is what you start with minus the 2,500 she withdrew which would leave her at 22,500. She then receives 10,000 for the business leaving her with 32,500

Answer:

[tex]\large\boxed{x=3\ and\ y=2\to(3,\ 2)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}x+2y=7\\x-2y=-1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=6\qquad\text{ivide both sides by 2}\\.\qquad x=3\\\\\text{Put the value of x to the first equation:}\\\\3+2y=7\qquad\text{subtract 3 from both sides}\\\\2y=4\qquad\text{divide both side by 2}\\\\y=2[/tex]

The solution to the given system of linear equations is (3, 2), which is found by eliminating y and solving for x, then substituting back to find y.

Given the system of equations:

x + 2y = 7
x - 2y = -1

To find the solution to the system, we can add the two equations to eliminate y:

(x + 2y) + (x - 2y) = 7 + (-1)
2x = 6
x = 3

Substituting x = 3 into the first equation:

3 + 2y = 7
2y = 4
y = 2

So, the solution to the system of equations is (3, 2). None of the other provided options, {(-8, -12)} or {(-4, 6)}, match this solution.

Answer:

I know a is because he added 0.2 instead of still decreasing since its subtraction in negatives

and b : since -0.2 - -0.3 is -0.5 so neither are correct

Answer:

[tex]SinA = \frac{84}{85}[/tex]  and  [tex]CosA=\frac{13}{85}[/tex]

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

[tex]Sin A = \frac{Opposite}{Hypotenuse}[/tex] , and

[tex]CosA = \frac{Adjacent}{Hypotenuse}[/tex]

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

[tex]Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}[/tex]

[tex]CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}[/tex]

The correct answer is  the first answer choice.

Answer:

14

Step-by-step explanation:

To round 14.3 to the nearest one, we round down because the digit to the right of the decimal point is less than 5. Therefore, the answer is 14.

To round 14.3 to the nearest one, we look at the digit to the right of the decimal point, which is 3. Since 3 is less than 5, we round down. Therefore, 14.3 rounded to the nearest one is 14.

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Divide total weight by number of treats:

12 1/4 / 28 = 7/16

The answer is C.

Answer:

[tex]\large\boxed{C)\ \dfrac{7}{16}\ of\ an\ ounce}[/tex]

Step-by-step explanation:

Divide the weight by the number of dog biscuits:

[tex]\left(12\dfrac{1}{4}\right):28=\dfrac{12\cdot4+1}{4}:28=\dfrac{49}{4}:28=\dfrac{1}{28\!\!\!\!\!\diagup_4}\cdot\dfrac{49\!\!\!\!\!\diagup^7}{4}=\dfrac{1}{4}\cdot\dfrac{7}{4}=\dfrac{7}{16}[/tex]

she was 111 minutes over what her plan allowed.

the answer is 90 because 360/90=4 270/90=3

Answer:

C. 4.3 cm

Step-by-step explanation:

Since it is a right triangle you can use a²+b²=c² to solve this. Then you subtract 2 from the AC to get AD.

Answer: I think its 4.3 if its not then its 4.0

Answer:

Multiply the original points by the fraction or ratio of the dilution needed

Step-by-step explanation:

I'm less confident in this answer, but Scale factor is the ration between two geometric figures, like 1:2 is for every one unit on one figure is two on the other, so to dilute a figure, you multiply the points by 1/2 to make a smaller figure, or by 2 to get a bigger one. Plot the given answers and you have diluted :) Hope this helps!

Answer:

l = 4, w = 14

Step-by-step explanation:

[tex]A_r = 56 = l * w[/tex]

l - length;

w - width;

l = w - 10;

We substitute the 'l' using the previous formula =>

[tex][tex]A_r = (w -10) \cdot w = w^2 - 10w = 56 =>\\w^2 - 10w - 56 = 0\\[/tex]

By the quadratic formula we solve for 'w':(we will use the positive value, because we're talking about lengths of planes in a Euclidean space)

[tex]w = \frac{10 + \sqrt{100+224} }{2} =  \frac{10+18}{2} = \frac{28}{2} = 14[/tex]

l = w - 10 = 14 -10 = 4