State if the two triangles are congruent. If they are, state the triangle congruence theorem that proves it

Answer:

[tex]Probability = 0.30[/tex]

Step-by-step explanation:

Given

Represent Black with B and White with W

[tex]B = 14[/tex]

[tex]W = 6[/tex]

Required

Probability of the second selection being white

This means that: The first selection could be white or black but the second must be white.

This probability would be represented as thus:

[tex]Probability = (P(W)\ and\ P(W))\ or\ (P(B)\ and\ P(W))[/tex]

And it is calculated as:

[tex]Probability = (\frac{n(W)}{Total} * \frac{n(W)-1}{Total - 1}) + (\frac{n(B)}{Total} * \frac{n(W)}{Total - 1})[/tex]

Notice that, the second selection has total -1 has its denominator. This is so because, the first selection was made without replacement

So, the formula becomes

[tex]Probability = (\frac{6}{20} * \frac{6-1}{20- 1}) + (\frac{14}{20} * \frac{6}{20- 1})[/tex]

[tex]Probability = (\frac{6}{20} * \frac{5}{19}) + (\frac{14}{20} * \frac{6}{19})[/tex]

[tex]Probability = \frac{30}{380}+ \frac{84}{380}[/tex]

[tex]Probability = \frac{30 + 84}{380}[/tex]

[tex]Probability = \frac{114}{380}[/tex]

[tex]Probability = 0.30[/tex]

The probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball is 0.33.

Given :

The formula given below can be used in order to determine the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball.

[tex]\rm P = \left(\dfrac{n(W)}{Total}\times \dfrac{n(W)-1}{Total-1}\right)+ \left(\dfrac{n(B)}{Total}\times \dfrac{n(W)}{Total-1}\right)[/tex]

Now, substitute the values of known terms in the above formula.

[tex]\rm P = \left(\dfrac{6}{20}\times \dfrac{6-1}{20-1}\right)+ \left(\dfrac{14}{20}\times \dfrac{6}{20-1}\right)[/tex]

Simplify the above expression.

[tex]\rm P = \dfrac{30}{380}+\dfrac{84}{380}[/tex]

[tex]\rm P =\dfrac{114}{380}[/tex]

P = 0.33

So, the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball is 0.33.

Therefore, the correct option is a).

For more information, refer to the link given below:

https://brainly.com/question/23044118

Answer: -26 i think srry if im wrong

Step-by-step explanation:

Answer:

$222.08

Step-by-step explanation:

To find the original price, divide 193.21 by 0.87:

193.21/0.87

= 222.08

So, the non-markup price was $222.08

Answer:

45

Step-by-step explanation:

Answer:

3x 4x and -5 so

3x+4x-5 is the answer

Answer:

2/5

Step-by-step explanation:

2 divided by 5 is 0.4 which is greater than .35

Answer:

0.35  <  2 /5

Step-by-step explanation:

Simplifying then comparing both terms  0.35  and  2/ 5 .

0.35  is less than  0.4  which means that the first term is less than the second term.

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Step-by-step explanation:

Answer:

654

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The answer would be D

Answer:

1,2,3

Step-by-step explanation:

you cant let them be equal its an inequality

Answer:

6/10

Step-by-step explanation:

The answer is A

Answer:

5.004493

Step-by-step explanation:

Answer:

2.27 kg is about 5 pounds.

Step-by-step explanation:

1 kilogram = 2.2 pounds

So, we have to multiply 2.2 by the amount of kilograms, which in this case, is 2.27.

2.27 x 2.2 = 4.994 or 5 when rounded to the nearest whole number.

Therefore, 2.27 kg = 5 lbs

Hope this helps! :)

Answer:

(g o h)(t) = -4t² - 16t + 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

g(t) = -4t + 3

h(t) = -t² + 4t

(g o h)(t) = g(h(t))

Step 2: Find

And we have our final answer!

Answer:

264 m^3

Step-by-step explanation:

4 m * 6 m * 11 m = 264 m^3

Answer:

264

Step-by-step explanation:

Google!

Hope this helps. Good luck!

Answer:

c = 122

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

(c - 3)° + 61° = 180°

Step 2: Solve for c

And we have our final answer!

Answer:

b

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

6 times 3 is 18 so.. 18 minus 69 would be -36 plus 12 is a positive 1 times 14 would be 14 minus 7 would be 7 7 times 27 would 38 plus 7 would be  45 minus one would be 44

Answer:

-186

Step-by-step explanation:

6x3-69+12x4-7(27)+7-1

18-69+48-189+7-1

-51+48-189+7-1

-3-189+7-1

-192+7-1

-185-1

-186

Answer:

There are 16 winning tickets and 64 losing tickets

Step-by-step explanation:

Total no of tickets in a bag = 80

The ratio of winning tickets to losing tickets is 2:8.

Let there are 2x winning tickets and 8x losing tickets.

ATQ,

2x+8x=80

10x=80

x = 8

Winning tickets = 2x = 2(8) = 16

Losing tickets = 8x = 8(8) = 64

Hence, there are 16 winning tickets and 64 losing tickets.

Answer:

1) There are 4 sides in a square where all the sides are equal

2) Squares have 90 degree angles!

a nd three)  it has 4 equal angles

Answer:

- all four sides are equal

- 4 right angle corners (90 degree corners)

- its also a rectangle with equal sides and a rhombus with right angles.

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

(3/4)x+7=-5

(3/4)x=-12

x=-12(4/3)

x=-16

Answer:

X < 3

Step-by-step explanation:

To solve the equation 3x < -2x+15

the steps are as follow:

+ 2x to both sides

Result: 5x < 15

Then divide by 5 to both sides to get x alone.

Final Product:

x < 3

Answer:

Answer- 432

Step-by-step explanation:

a= 3

b=4

c=12

(2(12) + (3)(4))12

(24 + 12)12

288 +144 = 432

Answer:

5

2

−

6

+

1

1

5

w

2

−

6

+

11

5w2−6+11

Simplify

1

Add the numbers

5

2

−

6

+

1

1

5

w

2

−

6

+

11

5w2−6+11

5

2

+

5

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Equation of the Line

It can be written in the slope-intercept form as:

y = mx + b

Where m is the slope of the line and b is the y-intercept.

For horizontal lines, m=0. For slanted lines, m can have any real value.

Vertical lines have an infinite slope and the above equation cannot be used.

Vertical lines have a fixed value for x, thus the equation is:

x = h

If the vertical line goes through the point (-4,1), then its equation is:

x = -4

Answer: -13 x -13 = 169

Step-by-step explanation: you have to multiply -13 two times  and a negative time a negative equals a positive

Answer:

g= 11.5

Step-by-step explanation:

32+3g = 4g+20.5

11.5+3g = 4g

11.5 = 1g

11.5 = g

Answer:

The answer would be x=7.5

Step-by-step explanation:

Answer:

x=7.5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2.45+5.5x−4.3x=1.3+0.7x

−2.45+5.5x+−4.3x=1.3+0.7x

Step 2: Combine Like Terms

(5.5x+−4.3x)+(−2.45)=0.7x+1.3

1.2x+−2.45=0.7x+1.3

1.2x−2.45=0.7x+1.3

Step 3: Subtract 0.7x from both sides.

1.2x−2.45−0.7x=0.7x+1.3−0.7x

0.5x−2.45=1.3

Step 4: Add 2.45 to both sides.

0.5x−2.45+2.45=1.3+2.45

0.5x=3.75

Step 5: Divide both sides by 0.5.

0.5x/0.5=3.75/0.5

so

x = 7.5

Answer:

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

Step-by-step explanation:

Step(i):-

Given  sample mean (x⁻ )  = 517

sample standard deviation (s) =90

Mean of the Population (μ) =500

Null Hypothesis :- H₀ :   (μ) =500

Alternative Hypothesis : H₁ :  μ ≠ 500

Step(ii):-

Test statistic

                         [tex]t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }[/tex]

                        [tex]t = \frac{517 -500}{\frac{90}{\sqrt{100} } }[/tex]

                        t  =   1.717

Level of significance

                      ∝ = 0.05

                    t₀.₀₅ = 1.6604

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Conclusion:-

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

Answer:

The correct option is a. 65 to 89.

Step-by-step explanation:

According to the Empirical Rule in a normal distribution with mean µ and standard-deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:

• 68% data falls within 1 standard deviation of the mean. That is P (µ-σ≤X≤ µ+σ) = 0.68.

• 95% data falls within 2 standard deviations of the mean. That is P (µ-2σ≤X≤ µ+2σ) = 0.95.

• 99.7% data falls within 3 standard deviations of the mean. That is P (µ-3σ≤X≤ µ+3σ) = 0.997.

The information provided is:

[tex]\mu=77\\\sigma = 6[/tex]

Use the Empirical rule to compute the middle 95% of the distribution as follows:

[tex]P(\mu-2\sigma\leq X\leq \mu+2\sigma)=0.95\\\\\mu-2\sigma=77-(2\times 6)=65\\\\\mu+2\sigma=77+(2\times 6)=89\\\\\Rightarrow P(65\leq X\leq 89)=0.95[/tex]

Thus, the correct option is a. 65 to 89.

9514 1404 393

Answer:

  58.7 °F

Step-by-step explanation:

At 5000 feet, the airplane is 5 times 1000 feet above the ground, so the temperature will have dropped 5 times 1.2 °F.

  64.7 - 5×1.2 = 64.7 -6.0 = 58.7

At 5000 feet, the temperature is 58.7 °F.