Which postulate or theorem proves △SQY∼△PTY?

A. SAS Similarity Theorem
B. SSS Similarity Theorem
C. AA Similarity Postulate

Answer:

Step-by-step explanation:

From the information given:

The probability distribution at the end of 6 months is determined as follows:

After 6 months;

Mean of probability distribution =  value of Initial cash  + [tex]\alpha[/tex]T  

=2.0 +(0.1 × 6)

=2.6

After 6 months;

The probability distribution's standard deviation is estimated by using the following formula:

Standard deviation:

[tex]= b\sqrt{T}[/tex]

[tex]= 0.4 \times \sqrt{6}[/tex]

= 0.9798

Hence, after 6 months;

The company's cash position is supposed to be allocated monthly, with the following expenses.

Mean                            2.6

Standard deviation     0.9798

Variance                      0.96

After 12 months, the probability distribution is as follows:

Mean = value of Initial cash  + [tex]\alpha[/tex]T

= 2.0 +(0.1 × 12)

= 3.2

The standard deviation is:

The standard deviation of probability distribution = [tex]b \sqrt{T}[/tex]

[tex]= 0.4 \times \sqrt{12}[/tex]

= 1.3856

Hence, after 6 months;

The company's cash position is supposed to be allocated monthly, with the following expenses.

Mean                            3.2

Sandard deviation      1.3856

Variance                      1.92

b)  

in 6-month distribution, the probability of the negative value of the cash position is as follows.

Now, for us to find the negative cash distribution;

We need to estimate the z -scores value.

The z-score inform us greatly on the concept of how far a particular data point is from the mean.

For a normal distribution;

[tex]z = \dfrac{x-\mu}{\sigma}[/tex]

Here;

the value of x = zero as a result that if it exceeds zero. the cash position will be negative.

∴

[tex]z = \dfrac{x-\mu}{\sigma}[/tex]

[tex]z = \dfrac{0 - 2.6}{0.9798}[/tex]

[tex]z = -2.6536[/tex]

Using the standard distribution tables, it is now possible to calculate that the likelihood N(-2.65) equals 0.004 or 0.4 percent.

As a result, there's a 0.4 percent chance of getting a negative cash balance after six months.

For 12 months distribution:

The Probability of negative cash position is calculated as follows:

[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-3.2}{1.3856} \\ \\ z = -2.3094[/tex]

Using the standard distribution tables,

N(-2.31) equals 0.0104 or 1.04 percent.

As a result, there's a 1.04 percent chance of getting a negative cash balance after 1 year  

c) To determine the time period over which the likelihood of achieving a negative cash condition is highest, it's necessary to examine the z-score more closely. Essentially, the z-score measures the difference between a given value(x) and the mean of all potential values [tex](\mu)[/tex], expressed in terms of the total set's standard deviation [tex](\sigma)[/tex]

This suggests that the higher the z-score, the greater the difference occurring between x and [tex]\mu[/tex], and thus the likelihood of receiving x is minimal. As a result, the best chance of finding a certain value is when the z-score is the lowest.

To do so, calculate the derivative of the z-score in relation to the time interval. The point where the derivative is equivalent to zero is where the z-scores are at their lowest.

The first step is to go over the z-score formula in more detail, as seen below.;

[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-(initial \ value + \alpha T)}{b \sqrt{T}} \\ \\ z = \dfrac{-initial \ value }{b\sqrt{T}}-\dfrac{a \sqrt{T}}{b} \\ \\[/tex]

Now, compute the derivative of this equation with respect to T as follows:

[tex]\dfrac{dz}{dT}= \dfrac{initial \ value \times T^{-\dfrac{3}{2}}}{2b} - \dfrac{aT^{-\dfrac{1}{2}}}{2b}[/tex]

Now, figure out the value of T at which this derivative is equal to zero by substituting all values as follows:

[tex]0 = \dfrac{2.0 \times T^{-\dfrac{3}{2}}}{2\times 0.4}- \dfrac{0.1 \times T^{-\dfrac{1}{2}}}{2 \times 0.4} \\ \\ \\ 0.1 \times T^{-\dfrac{1}{2}}= 2.0 \times T^{-\dfrac{3}{2}} \\ \\ \\T = \dfrac{2}{0.1} \\ \\ \\ T = 20[/tex]

As a result, the time period in which achieving a negative cash condition is = 20 months.

Answer:

1. quarter turn 2. B 3. (b,-a)

Step-by-step explanation:

Answer: C

Step-by-step explanation: You have to plug in the values to see if it matches the values on the table of values

Answer:

i dont know what is that explain that

A..........

Step-by-step explanation:

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

For more questions on events

https://brainly.com/question/29782219

#SPJ8

Answer:

D. 203

Step-by-step explanation:

volume= width X height X length

volume= 8 X 7 1/4 X 3 1/2

volume= 203

Answer:

It's 48

Step-by-step explanation:

The entire area of the rectangle would be length times width

The width is six, and the length is 8

6 times 8 is 48

btw, its asking for area

Answer:

See, its divided into TWO squares/rectangles.

you have to solve with the numbers you have on each one.

so, for the covered in shade one, you do 6 times 2, which is 12.

for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.

for that one you do 6 times 6 which is 36.

now you add both of them.

36 + 12= 48.

You added them, you need to multiply them but do not mix both rectangles/ squares numbers  until the end

Answer:

I think it's 4.5

Step-by-step explanation:

I divided the servings by the packages and I got 4.5 for each of them.

Answer:

8

Step-by-step explanation:

Answer:

235.65 cm^2s-1

Step-by-step explanation:

We have that;

Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule

Note that dr/dt = rate of change of radius

But

A = πr^2

dA/dr = 2πr

dr/dt = 2.5cm s-1 (given)

So;

dA/dt =  2πr * 2.5cm s-1

r = 15cm (given)

dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1

dA/dt = 235.65 cm^2s-1

Answer:

yes

no

yes

no

if their is a 6 in the y spot of the coordinate than it is a yes

Answer:

2091 grams

Step-by-step explanation:

1000 g = 1kg

2*1000 = 2000g + 91g = 2091 g

Answer:

2kg 91 g = _2091_ g

Step-by-step explanation:

Conversion factor: 1 kg = 1000 g

1) kg = g / 1000

2) kg = 2091 / 1000

3) kg = 2.09

Answer:

52 cards

Step-by-step explanation:

the colors I am not sure of thought sorry

Answer:

B. 300

Step-by-step explanation:

Let's take the entire number as 'x'

according to the question,

x * 64% = 193

x * 64/100 = 193

x * 64 = 193 * 100

x = 19300/ 64

x = 301.5

round down to 300

Answer:

270 cubic centimeters

Step-by-step explanation:

To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270

Answer:

The answer is 6cm

Step-by-step explanation:

2cm(the one on top) and 4cm are directly opposite the unknown side which is the same when being cut horizontally so therefore the unknown side is equal to 2cm+4cm which is = 6cm

Answer:

81 in^2

Step-by-step explanation:

Well the formula to find an area of a triangle is (bh) / 2

In this case the base is 18 and the height is 9

18*9=162

162/2=81

Answer:

81

Step-by-step explanation:

To find the area of a triangle, multiply the base (in this case 18) times the height (9). 18 times 9 is 162. Divide that by 2 to get the area of the triangle. 162/2=81

Answer:

The mean launch temperature for flights with O-ring damage is significantly lesser than Flights with No O-ring

Step-by-step explanation:

Let

Null hypothesis : H0 : μ1 ≥ μ2

Alternate hypothesis : Ha : μ1 < μ2

next calculate the test statistic

t = -2.312

calculate the P-value

p-value = T.DIST ( t ,df )  (  excel function )

            = 0.0270

Given that P-value ( 0.020 ) < level of significance ( 0.05 ) we will not fail to reject the null hypothesis

Attached below is the detailed solution

Answer:

1》Arc ZWX=180+35=215

2》m<0=2×m<R

m<0=2×37

m<0=74

Hope it helps...

explanation is not right answer but I tried...would u give this a like....don't star it tho....I stopped midway....I thought in first question measure meant length of arc...not angle

Anyway first question actual answer = 180+35= 215°

second question answer= 2*37= 74 (The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference)

Step-by-step explanation:

ANSWER IS WRONG SO DONT CHECK

Angle of half circle is 180°

so <WCX + <XCY + <YCZ = 180°

35° + <XCY + 73°= 180°

108° + <XCY= 180°

<XCY= 180-108

<XCY= 72°

<WCR= <XCZ

<WCR= <XCY + <YCZ

<WCR= 72° + 73°= 145°

<ZCR= <WCX

<ZCR = 35°

Length of arc = theeta (angle)/ 360 * 2πr

length of ZWX= <ZCW +<WXC/ 360 * 2π

I stopped here

Answer:

1/10?

Step-by-step explanation:

okay...

Answer:

Step-by-step explanation:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Answer:

H1 : p < 0.23

Step-by-step explanation:

The parameter percentage Given in the scenario above is 23%;

Proportion = 23/100 = 0.23

The null hypothesis ; H0 will support the claim ; Hence, H0 is expressed as ;

H0 : p = 0.23

Thw alternative hypothesis ; will negative the claim of the null hypothesis ; Hence, H1 will be ;

H1 : p < 0.23

Answer:

c = 15 ft

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

c^2 = 225

c = √225

c = 15 ft

Answer: I believe the answer is 23k.

Step-by-step explanation:

Answer:

25

200 divided by 8 is 25.

Step-by-step explanation:

Answer:

The answer is c)

Step-by-step explanation:

g(x)=x^2-4

Answer:

Step-by-step explanation:

The diagonals of a rhombus are perpendicular:

We have the equation for MT:

Perpendicular lines have negative-reciprocal diagonals, therefore AH has slope of 1/2.

Since AH passes through point (4, -5), the equation of the line is:

Correct choice is D