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Answer:

the probability that either B occurs without A occurring or A and B both occur is 0.73.

Step-by-step explanation:

A triangle is a three-sided polygon with three vertices and three edges. The number of triangles in the given figure are 1, 3, 9, and 27.

A triangle is a three-sided polygon with three vertices and three edges. It is one of the most fundamental geometric forms.

The number of shaded triangles in each of the triangles is shown below, therefore, the number of triangles in each triangle can are:

1st triangle = 1

2nd triange= 3

3rd triangle = 9

4th triangle = 27

Hence, the number of triangles in the given figure are 1, 3, 9, and 27.

Learn more about Triangles:

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Answer:

first part is 1, 3, 9, 27

second part is A

third part is 29,524

Step-by-step explanation:

edg 23'

Answer: 2 solutions

-2 and 9

Step-by-step explanation:

see pic

Answer:

8 & 45

Step-by-step explanation:

This is done regarding BODMAS.

Fisrt 2(2)^2 - 3(2)(-3) -2(-3)^2

8 + 18 - 18

8.

Second 2(-3)^2 - 4(-3) + 6

27 + 12 + 6

45.

Answer:

2(2)^2  -  3(2 x -3)  -2(-3)^2

  8        -    3(-6)     -   2(9)

   8       -    -18       -      18

         26     -  18

                 8

Step-by-step explanation:

Answer:

The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.

Answer: add to eliminate x

Step-by-step explanation:

Answer:

add to eliminate x

Step-by-step explanation:

In my opinion, the fourth option is the answer

Answer:

(a) The approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution = 0.00738

The approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625

(b)  pM - pF =  0.06

While pF - pM = -0.06

The difference in the standard deviation ≈ 0.01025

(c) The probability that a higher proportion of women than men worked last year is 0

Step-by-step explanation:

(a) The given information are;

The percentage of college men that were employed last summer = 88%

The percentage of college women that were employed last summer = 82%

The number of college men interviewed in the survey = 400

The number of college women interviewed in the survey = 400

Therefore, given that the proportion of women that worked = 0.82, we have for the binomial distribution;

p = 0.82

q = 1 - 0.82 = 0.18

n = 400

Therefore;

p × n = 0.82 × 400 = 328 > 10

q × n = 0.18 × 400 = 72 > 10

Therefore, the binomial distribution is approximately normal

We have;

[tex]The \ mean = p = 0.82\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.82 \times 0.18}{{400} }} \approx 0.01921\\[/tex]

Therefore, the approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution ≈ 0.01921

Similarly, given that the proportion of male that worked = 0.88, we have for the binomial distribution;

p = 0.88

q = 1 - 0.88 = 0.12

n = 400

Therefore;

p × n = 0.88 × 400 = 352 > 10

q × n = 0.12 × 400 = 42 > 10

Therefore, the binomial distribution is approximately normal

We have;

[tex]The \ mean = p = 0.88\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.88 \times 0.12}{{400} }} \approx 0.01625\\[/tex]

Therefore, the approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625

(b) Given two normal random variables, we have

The distribution of the difference the two normal random variable = A normal random variable

The mean of the difference = The difference of the two means = pM - pF = 0.88 - 0.82 = 0.06

While pF - pM = -0.06

The difference in the standard deviation, giving only the real values, is given as follows;

[tex]The \ difference \ in \ standard \ deviation = \sqrt{ \dfrac{p_1 \times q_1}{{n_1} } -\dfrac{p_2 \times q_2}{{n_2} } }\\\\= \sqrt{\dfrac{0.82 \times 0.18}{{400} }-\dfrac{0.88 \times 0.12}{{400} }} \approx 0.01025\\[/tex]

(c) When there is no difference between the the proportion of men and women that worked last summer, the probability that there is a difference = 0

Therefore, taking 0 as the standard score, we have;

[tex]z = \dfrac{0 - (-0.06)}{0.01025} \approx 5.86[/tex]

Given that the maximum values for a cumulative distribution table is approximately 4, we have that the probability that a higher proportion of women than men worked last year is 0.

Answer:

Statement P is T

Stamens Q is F

Step-by-step explanation:

Here, we want to write the truth value for each of the statements.

For statement P, the truth value is T since in reality Atlanta is the capital of Georgia.

For statement q, the truth value is F since in reality there are 3 feet in a yard

Answer:

Step-by-step explanation:

C.(-1,-1)

Hey there!

Question reads….

“Are the ratios 5:20 and 1:2 equivalent?”

Let’s find out if they are or not!

5:20

= 5 ÷ 5 : 20 ÷ 5

= 1 : 4

So, therefore, your answer is: NO because 5:20 = 1:4 NOT 1:2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

-x12

Step-by-step explanation:

cause I know

Answer:

Step-by-step explanation:

area of parking lot=(100-x)(100+x)=100²-x²=(10000-x²)ft²

original area=100²=10000 ft²

x²>0

so new area is decreased.

✏️SUBSTITUTION

Solution:

2x + 4y

Given: x = -1, y = 3

ab + c

Given: a = 2, b = -4, c = 5

Answer:

Evaluate 2x + 4y if x = -1 and y = 3

Evaluate ab + c if a = 2 b = -4 and c=5

•••••••••••••••••••••••••••••••••••••••••••••••••

#CarryOnLearning

Step-by-step explanation:

16x - 54x⁴

= 2x(8 - 27x³)

....

Step-by-step explanation:

i hope this will help!!..

....

Answer:

Let's find how many letters California has first, c-a-l-i-f-o-r-n-i-a has 10 letters.

Now let's find how many letter A's are in the word California, California has two a's in the word.

So there are 2 cards out of 10 that could possibly be selected as the letter A.

Your probability is:-

2/10 which simplifies to 1/5, if you wanted to make this a percentage as well;

1/5 * x/100

solve for x;

20%

The required probability of turning over an A is given as 20% or 0.2.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
California = C, a, l, i, f, o, r, n, i, a = 10 letters
So,
Number of card = 10

Now,
there are two a's in the card deck
So the probability of turning over an A,
= 2 / 10
= 0.2 or 20%

Thus, the required probability of turning over an A is given as 20% or 0.2.

Learn more about probability here:

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#SPJ2

Answer:

Its B $77,456 I just got it correct on the quiz

Step-by-step explanation:

-15xsquared+7x+2 is the answer

Answer:

A. 6

B. 2

C. 18

Step-by-step explanation:

Answer:

The number of lines for each angle tell you which angles are congruent.

The angle with one line in one triangle is the same as the angle with one line in the other triangle.

(a)

∠A ≅ ∠X

∠B ≅ ∠Z

∠C ≅ ∠Y

The dashes of the side lengths tell you which side lengths are congruent.

The line with one dash in one triangle is the same as the line with one dash in the other triangle.

(b)

AB ≅ XZ

AC ≅ XY

BC ≅ ZY

(c)

ΔBCA ≅ ΔZYX

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The slope could be determined by plugging in what you know into here....

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

then plug in what you know...

[tex](1,-2)\\(3,2)\\y_{2} =-2\\y_{1} =2\\x_{2} =1\\x_{1} =3[/tex]

[tex]m=\frac{-2-2}{1-3} =\frac{-4}{-2} =2[/tex]

So the slope is 2.

Answer:

Step-by-step explanation:

Angles 3 and 6 are consecutive interior angles

As per definition, consecutive internal angles add to 180°

Answer:

y-intercept formula: b=mx-y

X-intercept formula: b=Mx+y

Step-by-step explanation:

m=slope

Answer:

3^5 = 3 x 5 ( False )

6^3 = 216 ( True )

9^1 = 1^9 ( False )

Step-by-step explanation:

3^5

= 3 x 3 x 3 x 3 x 3

= 243

6^3

= 6 x 6 x 6

= 216

9^1 = 9

First question:  

    [tex]3^5=3*3*3*3*3[/tex] ≠ [tex]3*5[/tex]

    Answer: False

Second question:

   [tex]216 = 6 * 6 * 6 = 6^3[/tex]

    Answer: True

Third Question:

   [tex]9^1[/tex] ≠ [tex]1 * 1*1*1*1*1*1*1*1=1^9[/tex]

   Answer: False

Answer:

6/11

Step-by-step explanation:

5 of the counters are white that are taken out of the bag. That means if one more was taken out if the bag after that was the only white counter left then we can conclude that since there are 11 counters in the bag and 6 are white then, the probability of picking a white counter would be 6/11.

Have a great rest of your day
#TheWizzer

Answer:

P(of picking one of the white counters )= 8/11

Step-by-step explanation:

Firstly you need to identify the counters

White counters = 5

Unknown= 6

Total outcome = 11

With the aid of a tree diagram and following the condition of not replaced we go on and compute our findings

Answer:

Jess used 11 1/2 cups of flour to make 3 1 / 2

batches of oatmeal cookies. One batch makes 24 cookies.

If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?

A- 30

B- 120

C-200

D-380

Step-by-step explanation: