Important

Given AABC ~ ADE F, determine the following information.



Determine the measure of LB. Show the work that leads to your answer.





Determine the length of EF. Show the work that leads to your answer.

Answer:

X=69 degree

?= 50 degree

Step-by-step explanation:

exterior angle prop so 77+X =146

X=146-77

X=69

in sencond triangle

90+40+?=180

?=180-130

?=50

Answer:

1. 2 and 2 is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

(-6,8) is the answer using substitution method.

Step-by-step explanation:

y= (-1/3)(-6)+6

y= 2+6

y=8, x=-6

=(-6,8)

Answer:

The solution to this system of equations is [tex](x,y) = (-6, 8)[/tex].

Step-by-step explanation:

Since the number of equations and number of variables is the same, there is only one solution. Let [tex]y = -\frac{1}{3}\cdot x + 6[/tex] and [tex]x = -6[/tex], the solution of this system is found by evaluating the first function, that is:

[tex]y = -\frac{1}{3}\cdot (-6)+6[/tex]

[tex]y = 2+6[/tex]

[tex]y = 8[/tex]

The solution to this system of equations is [tex](x,y) = (-6, 8)[/tex].

Answer:

a) 0.5664 = 56.64% probability that the urn selected was the first one.

b) 0.4336 = 43.36% probability that the urn selected was the second one

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

If both balls are white, what are the following probabilities?

This means that event A is both balls being white.

Probability of both balls being white:

0.8 probability of 4/10 = 0.4 squared(first urn, which each time the ball is drawn will have 4 white balls and 6 red)

1 - 0.8 = 0.2 probability of 7/10 = 0.07 squared(second urn). So

[tex]P(A) = 0.8*(0.4)^2 + 0.2*(0.7)^2 = 0.226[/tex]

a. the probability that the urn selected was the first one

Event B: First urn selected.

The intersection of events A and B is given by both balls being white and selected from the first urn, which has the following probability:

[tex]P(A \cap B) = 0.8*(0.4)^2 = 0.128[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.128}{0.226} = 0.5664[/tex]

0.5664 = 56.64% probability that the urn selected was the first one

b. the probability that the urn selected was the second one

The intersection of events A and B is given by both balls being white and selected from the second urn, which has the following probability:

[tex]P(A \cap B) = 0.2*(0.7)^2 = 0.098[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.098}{0.226} = 0.4336[/tex]

0.4336 = 43.36% probability that the urn selected was the second one

Answer:

d. lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

Step-by-step explanation:

The computation of the approximate 95% confidence interval is shown below:

Given that

mean = 528,

standard deviation = 10

[tex]Mean \mp z_{\frac{0.05}{2}}\times standard\ deviation \\\\=528 \mp 2 \times 10\\\\=(508,548)[/tex]

hence, the correct option is d.

The confidence interval gives a range of estimate for the true population mean at a given confidence level. The confidence interval for the mean is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

The confidence interval for the mean is obtained using the relation :

Plugging in the values :

528 ± (1.96 × (10))

Approximating Z* (1.96) = 2.00

Lower boundary = 528 - (2 × 10) = 528 - 20 = 508

Upper boundary = 528 + (2 × 10) = 528 + 20 = 548

Therefore, the confidence interval is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

Answer:

11/6

Step-by-step explanation:

2 7/9 + 8/9

2 7/9 into a mixed fraction which is 25/9

now 25/9 + 8/9 = 33/18 then simplify which is 11/6

Answer:

x = 134/7

y = 69/7

Step-by-step explanation:

let the x or y have a same coefficient to have a better way to solve it

Answer:

0.031

Step-by-step explanation:

you have a 1/2 chance of rolling an even number and a 1/16 chance of rolling 16. when you multiply 1/2 by 1/16 you get 1/32 and after converting that to decimal you are left with: 0.031

The probability of rolling an even number on the six-sided die and rolling a 16 on the other die would be 0.031

Probability stands for the branch of mathematics involving numerical descriptions of how likely an event exists to occur, or how likely it stands that a proposition is true. The probability of an event  e xists in a number between 0 and 1, where, roughly speaking, 0 demonstrates the impossibility of the event and 1 shows certainty.

chance of rolling an even number= 1/2

chance of rolling 16 =1/16

1/2 * 1/16 = 1/32 = 0.031

The probability of rolling an even number on the six-sided die and rolling a 16 on the other die would be 0.031

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Answer:

7

Step-by-step explanation:

Answer:

mira ami me aparece cien

Step-by-step explanation:

pues creo que no es

Answer:

4

Step-by-step explanation:

Answer:

The common denominator of 1/4 and 1/2 is 4.

1/2 = 2/4

Answer:

the rest of the anglesss

Answer:

All together must be 180 but i dont know how to solve that

Answer:

Step-by-step explanation:

Add 9 on both sides.

You'll get -2=p

So -2 = p.

-2 is your answer.

Answer:

-2

Step-by-step explanation:

-11 = p - 9

p = -11 + 9

p = -2

Check:

-11 = -2 - 9

Hope that helps!

Answer:

n=10

Step-by-step explanation:

For a regular polygon with n sides, each interior angle, x, is given by

[tex]x=180\frac{n-2}{n}[/tex]

This can be solved for n

[tex]n=\frac{360}{180-x}[/tex]

For the pentagons

x(5)=180(3/5)=108 degrees.

The angles around P sum to 360, so

2(x(5))+x(A)=360

x(A)=360-2(108)=144.

Substitue in the equation for n.

n=360/(180-144)=10

The number of sides in this polygon is 10.

For any polygon, the sum of interior angles is given as,

[tex]\bold{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

where,

n = number of sides,

We know that for a pentagon, the number of sides is 5.

thus, substituting the values in the sum of interior angle formula we get,

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

[tex]{Sum\ of\ interior\ angles= {5-2}\times{180^o}}\\= 3 \times {180^o} = 540^o[/tex]

therfore, each angle in a regular pentagon,

[tex]\dfrac{Sum\ of\ interior\ angles}{Number\ of\ Sides} = \dfrac{540^o}{5} = 108^o[/tex],

Let's assume that polygon A is having x number of sides.

At point P, the sum of the angles must be 360°.

The sum of the angles at point P

          = interior angle of the first pentagon

          + interior angle of the second pentagon

          + interior angle of the polygon A with x sides

Substituting the values,

360° = 108° + 108° + z

z = 360° - 108° - 108°

z = 144°

Thus, the interior angle of the x sided polygon is z = 144°.

For a regular polygon, all the interior angles are equal,

so, for a polygon with sides x.

the sum of interior angle = measure of interior angle x Number of sides

                                         = [tex]144^o \times x[/tex]

Also, we know

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

Substituting, the values for an x number of side  polygon,

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}\\{144^o \times x = {(x-2)}\times {180^o}}\\144x = 180x - 360\\360 = 180x- 144x\\x = \dfrac{360}{36}\\x = 10[/tex]

Hence, the number of sides in this polygon is 10.

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Answer:

Probability of  both English and Maths =  17%

Step-by-step explanation:

Probability of English or Maths

100 -70 = 30%

Probability of English or Maths =

Probability of English + Probability of Maths + Probability of  both English and Maths

30 % = 22% + 25 % + Probability of  both English and Maths

Probability of  both English and Maths = 47% - 30 %

Probability of  both English and Maths =  17%

Answer:

6

Step-by-step explanation:

cause 3+3 is 6

thanks for the easy points :3

Answer:

id.kkkkk.. maybe 5.. maybe 6...

:O

Answer:

10.60305932

Step-by-step explanation:

Answer:

x=90-44=46is your answer

Answer:

46 degrees             (complimentary angles add up to 90 degrees)

Step-by-step explanation:

90 - 44  = 46

Answer:

2

Step-by-step explanation:

6x-3=5+2x

-2x on both sides

4x-3=5

+3 on both sides

4x=8

divide 4 on both sides

x=2

Answer:

18

Step-by-step explanation:

25 + 47 = 72

72 ÷ 4 = 18

Answer:

81-x=96-2x

x=15

m <1 = 66

m <2 = 66

Step-by-step explanation:

no entendo ???????? isto

Answer:

Ratio, Decimal or Fraction

Step-by-step explanation:

Answer:

it's another way to write a fraction:)

Answer:

424

Step-by-step explanation:

let 's' = number of students

3/4s + 18 = 336

3/4s = 318

3s = 1272

s = 1272/3 = 424

Answer:

The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.

E on multiple choice

Step-by-step explanation:

Answer:

3.1 Kg

Step-by-step explanation:

Mean = Sum/Number of data

4.35=Sum/8

Sum= (4.5+5+6.8+2.8+3.8+5.5+4.4+4.4+last fish) = 31.7+last fish

4.35= (31.7+lastfish)/8

Last fish= (4.35×8) - 31.7 = 3.1 Kg

Answer:

.

Step-by-step explanation: