the radius of circle C is 10cm. if measure of arc AB is 60, what is the of sector ACB​

Answer:

b. Linear Programming model

Step-by-step explanation:

Correct option is b. Linear Programming model.

As we know that, Linear programming model is a technique that used to find the optimal solution of a given problem with the available resources.

Answer:

see below

Step-by-step explanation:

x = 63 and y = 27

180 - 117 Gives 63

Answer:

x=63

y=27...............

Answer:

so (-4/5)^9/(-4/5)^10=−1,25

Answer:

$30.00 fee

$45.00=total bill

$0.10 per minute of usage

x = minutes used

$30.00 + 0.10 per minute = $45.00

$30.00+$0.10(x) = $45.00

$0.10(x) = $45.00-$30.00 = $15.00

x = $15.00/$0.10 = 150 minutes used

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For point (a) :

In this, two points are  exclusive to one another,  it is a probability that first or the  second project will have breaches,

[tex]\to P = P(A) + P(B)[/tex]

       [tex]= 0.3 + 0.25\\\\= 0.55[/tex]

Since the p(A & B)=0  is mutually exclusive.

For point (b):

[tex]\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\[/tex]

       [tex]= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1[/tex]

For point (c):

 if both a and b are independent:

(a):

[tex]P = P(A) + P(B) - P(A)\times P(B) \\\\[/tex]

   [tex]= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475[/tex]

(b):

[tex]P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\[/tex]

   [tex]= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7[/tex]

Answer:

a = 216

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

___________________________________________________________

FACTS TO KNOW :-

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In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.

As they are supplementary angles , their sum will be 180°.

So ,

[tex](3x) + (7x + 40) = 180[/tex]

[tex]=> 3x + 7x + 40 = 180[/tex]

[tex]=> 10x + 40 = 180[/tex]

Substracting 40 from both the sides ,

[tex]=> 10x + 40 - 40 = 180 - 40[/tex]

[tex]=> 10x = 140[/tex]

Dividing both the sides by 10 ,

[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]

[tex]=> x = 14[/tex]

Answer:

should be segment BT, that's what i put and it was right. hope this helps

Step-by-step explanation:

The altitude to the line segment AC is line segment BL.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, L, M, N are midpoints.

We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.

By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.

learn more about the altitude of a triangle here :

https://brainly.com/question/17020135

#SPJ5

Answer:

x=6

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases then solve for X.

Hope this helped have a good one.

Answer:

a) We have an aspect ratio of 4:3

This means that the width of the screen, W, is about 4/3 times the height of the screen, H.

Then we have the equation:

W = (4/3)*H

And the diagonal of a rectangle with width W and height H is:

D = √(W^2 + H^2)

Then if we have a 15 in TV, then we have D = 15 in.

Then we have:

15 in = √(W^2 + H^2)

Now we can use the relation W = (4/3)*H and replace this in the above equation:

15 in = √(((4/3)*H)^2 + H^2)

Now we can solve this for H:

15in = √( (16/9)*H^2 + H^2)

(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2

(9/25)*(15in)^2 = H^2

√( (9/25)*(15in)^2) = H

(3/5)*(15in) = H = 9 in

The height is 9 inches, and the width will be:

W = (4/3)*9in = 12in.

Now let's do the same for a 42 in tv.

We can use the same equation than before, this time we get:

42 in = √(((4/3)*H)^2 + H^2)

We can do the exact same procedure as before, and we will get:

(3/5)*(42in) = H = 25.2 in

Then the width is

W = (4/3)*H = (4/3)*25.2in = 33.6 in

b) Now we do the same, but now we have the relation:

W = (16/9)*H

Then if D is the diagonal, we have the equation:

D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)

This time we can simplify it for any general D.

D^2 = (16/9)^2*H^2 + H^2

D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2

D^2 = (337/81)*H^2

(81/337)*D^2 = H^2

√( (81/337)*D^2) = H

(9/18.36)*D = H

Then if we have a 42 in TV, the height is:

(9/18.36)*42in = H = 20.59 in

And the width will be:

W = (16/9)*H = (16/9)*20.59in = 36.60 in

If we have a 60 in TV, we get:

(9/18.36)*60in = H = 29.41 in

And the width will be:

W = (16/9)*H = (16/9)*29.41in = 52.29 in

c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.

Answer:

X+x =2x

Step-by-step explanation:

I think this ans may help you

Answer:

2x

Step-by-step explanation:

x + x also equals x times 2

Answer:

The missing digit is 8

Step-by-step explanation:

3528/6 = 588

Answer:

the missing digit is 8

Step-by-step explanation:

3528÷6=588.

^

Answer:

you could do 3 tens and 1 ones or 2 tens and 11 ones

Step-by-step explanation:

hope this helps!

Answer:

1. 38.7

2. 3.87

3. .387

Step-by-step explanation:

1. So when dividing by numbers with exponents specifically 10 which is the most common number to have an exponent with you can look at the exponent and that number is the amount of zeros. So in this question there is 10 to the zeroth power. The amount of zeros would be zero so it is actually 1.

So then 10 to the zeroth power is equivalent to 1. The problem then becomes this: 38.7 / 1 which obviously equals 38.7

2. As I explained earlier, 10 to the first power would be 10 because the exponent number is one so that means the amount of zeros is one.

Equation: 38.7 / 10 which to solve you need to move the decimal to the left which gives you the answer, 3.87

3. The exponent number is 2 so, 10 to the second power is 100.

Equation: 38.7 / 100  

Move the decimal to the right twice and it will give you the answer .387

Please note that when multiplying by powers of 10 you move the decimal point to the left and when dividing by powers of ten you move the decimal to the right.

I am in fifth grade right now and I have 98% and up in all classes so these are kind of easy for me.

Answer:

X= 29

Step-by-step explanation:

Answer:

x = 29

Step-by-step explanation:

Let's solve your equation step-by-step.

−18=−1(x−11)

Step 1: Simplify both sides of the equation.

−18=−1(x−11)

−18=(−1)(x)+(−1)(−11)(Distribute)

−18=−x+11

Step 2: Flip the equation.

−x+11=−18

Step 3: Subtract 11 from both sides.

−x+11−11=−18−11

−x=−29

Step 4: Divide both sides by -1.

-x/1 = -29/-1

hope this helped:')

Answer:

X = 1.6

Step-by-step explanation:

Divide 7 on both sides:

7x = 11.2

x = 1.6

X, therefore, is 1.6.

Hope this helps!!

- Kay :)

Answer:

You are correct it is A. cos B

Step-by-step explanation:

Answer:

$140

Step-by-step explanation:

Answer:

12x

Step-by-step explanation:

3 + 4 + 5 = 12

Answer:

12x

Step-by-step explanation:

we add all of them and we get 12x

Answer:

the answer is

Diameter, Radius, Circumference

Hope it will help :)

Step-by-step explanation:

option A is the correct answer according to me .

plz mark my answer as brainlist if you find it useful.

Answer:

The answer is B

Answer:

2.56

Step-by-step explanation:

Answer:

it would be 2.56

Step-by-step explanation:

256 ÷ 100 = 2.56

Answer:

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a random sample of 500 employees, 15 reported owning an electric car.

This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

You can find the standard mean error and then use that to find the confidence interval limits.

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

Let the sample size be n

Let the interested quantities in the sample be present x times

Let the confidence level be of p%.

Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]

The standard mean error is calculated by:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]

Then the confidence interval limits can be found by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]

We have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]

Finding the standard mean error:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]

From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758

Thus, the confidence interval is obtained by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]

Lower limit = 0.0104

Upper limit = 0.0496

Thus,

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

Learn more about confidence interval here:

https://brainly.com/question/16427118

Answer:

the answers are a and d

Step-by-step explanation:

x+x+x=3x and you can't add a constant (2) to a variable(3x) so it would just be 3x+2

Answer:

Given: The mean of x + 2, 2x + 3, 3x + 4 and 4x + 5 is x + 2

 Mean = 4(x+2)+(2x+3)+(3x+4)+(4x+5)

 ⇒x+2=410x+14

 ⇒4x+8=10x+14   

 ⇒6x=−6   

 ⇒x=−1   

Answer:

1. -8 , -5 , 1 , 2

2: -5, -4 , -3 , 2

3: -15, -10, -7

Step-by-step explanation:

Given

1. -5, 2, 1, -8

2. -4, -3, -5, 2

3. -10, -15,-7​

Required

Sort in ascending order

To write in ascending order, means that the number must increase from left to right.

So, we have:

1. -5, 2, 1, -8

From left to right, we have:

[tex]-8 < -5 < 1 < 2[/tex]

Hence, the sorted list: -8 , -5 , 1 , 2

2. -4, -3, -5, 2

From left to right, we have:

[tex]-5 < -4 < -3 < 2[/tex]

Hence, the sorted list: -5, -4 , -3 , 2

3. -10, -15,-7​

From left to right, we have:

[tex]-15 < -10 < -7[/tex]

Hence, the sorted list: -15, -10, -7

Answer:

18 ft

Step-by-step explanation

1. Put 8/16 like a fraction and since we do not know the height of the tree yet we put the height as 9/d.

2. We have to cross multiply so we multiply 8 by d and we get 8d. Then we multiply 9 by 16 and we get 144.

3. We divide both sides by 8 so we can get (d) by itself and we divide 144 by 8 also.

4. We get d = 18

The answer is correct but my explanation is a little hard to read so sorry about that :)

Answer:

Step-by-step explanation:

18 hours : 48 hours = 3:8