The probability that it rains is about 20%.The probability that the bus is late is about 8%.The probability that it rains and the bus is late is about 3%.The probability that the train is late is about 5%.The probability that it rains and the train is late is about 1%.P(A)=0.20 P(B)=0.08 P(A n B)=0.03what does this tell you about how rain affects the probability that the bus will be late?

Rewrite the function using the change-of-base identity as

\(e^{x^2} \log_{10}(2x) = e^{x^2} \dfrac{\ln(2x)}{\ln(10)}\)

Apply the product rule:

\(\left(e^{x^2} \log_{10}(2x)\right)' = \left(e^{x^2}\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \left(\dfrac{\ln(2x)}{\ln(10)}\right)'\)

Use the chain rule:

\(\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(x^2\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac{(2x)'}{2\ln(10)x}\)

Compute the remaining derivatives:

\(\left(e^{x^2} \log_{10}(2x)\right)' = 2xe^{x^2} \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac2{2\ln(10)x} = e^{x^2}\left(\dfrac{2x\ln(2x)}{\ln(10)} + \dfrac1{\ln(10)x}\right)\)

If you like, you can convert back to base-10 logarithms:

ln(2x) / ln(10) = log₁₀(2x)

1 / ln(10) = ln(e) / ln(10) = log₁₀(e)

Then

\(\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(2x\log_{10}(2x)+\frac{\log_{10}(e)}x\right)\)

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

Answer:

6

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the missing number in the given sequence, let's analyze the pattern:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???

Looking at the sequence, we can identify a few patterns:

The sequence alternates between increasing and decreasing numbers.

The first two numbers, 2 and 4, are increasing.

The next two numbers, 4 and 3, are decreasing.

The following two numbers, 3 and 6, are increasing.

The subsequent two numbers, 6 and 3, are decreasing.

The next two numbers, 3 and 8, are increasing.

The subsequent two numbers, 8 and 9, are increasing.

Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.

Now let's determine the missing number:

From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.

Let's assume the missing number is x:

8 - x

Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):

8 - (3 - 1) = 8 - 2 = 6

Therefore, the missing number in the sequence is 6.

The complete sequence is:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6

Answer:

Family. Family is what you make of it in Heart of a Samurai.

Language and Communication.

Principles.

Art and Culture.

Identity.

Change.

Society and Class.

Step-by-step explanation:

Hope this helps:)

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

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every multiple of a number is exactly divisible by the number itself

The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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Answer:

\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)

\( \frac{28}{13} \\ = 2.15\)

Answer:

28/13 or 2.15384615

Step-by-step explanation:

28/13 is the most simplified form of the fraction. If you were to calculate it out it would be 2.15384615.

The probability of observing at least one Type I Error is 16.67%.

Probability is the likelihood of an event occurring, expressed as a number between 0 and 1. It is a measure of how likely it is that something will happen, given the conditions and information available. Probability is the foundation of statistics, which is the science of making decisions when faced with uncertainty. Probability can be used to make predictions about future events and to help us understand how likely various outcomes are.

A Type I Error, also known as a false positive, occurs when an experiment incorrectly rejects a true null hypothesis. This probability can be calculated by multiplying the probability of a Type I Error occurring in each test (0.05) three times, yielding 0.125 (or 12.5%).

We then add 1 minus that probability, which yields 0.167 (or 16.67%). In other words, the probability of observing at least one Type I Error in the three tests is 16.67%.

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So

a^n=a×a×a×a..n times

Answer:

24,300,000

Step-by-step explanation:

Given expression:  \((5 \cdot 5 + 5)^5\)

We can solve this following the order of operations (PEDMAS):

We need to carry out that which is in the parentheses first:  \(5 \cdot 5 + 5\)

According to the order of operations, we should carry out the multiplication first, followed by the addition:

\(\implies 5 \cdot 5+5=25+5=30\)

Therefore,

\((5 \cdot 5 + 5)^5=(30)^5\)

Finally, we carry out the exponent:

\(\begin{aligned}\implies 30^5 &=30 \cdot 30 \cdot 30 \cdot 30 \cdot 30\\ & =24,300,000\end{aligned}\)

Therefore,

\((5 \cdot 5 + 5)^5=24,300,000\)

-------------------------------------------------------------------------------------------

Alternatively, if the expression is \(5 \cdot 5 + 5^5\)

We would carry out the exponent first:

\(\begin{aligned}\implies 5 \cdot 5 + 5^5 &=5 \cdot 5+(5 \cdot 5 \cdot 5 \cdot 5 \cdot 5)\\ & =5 \cdot 5+3125\end{aligned}\)

Then the multiplication:

\(\implies 5 \cdot 5+3125=25+3125\)

And finally the addition:

\(\implies 25+3125=3150\)

Therefore,

\(5 \cdot 5 + 5^5=3150\)

Answer:

B

Step-by-step explanation:

total number of people minus people who prefer soda, iced tea, or lemonade= people who prefer water

450-101-67-108=174

Answer:

D: 276 preferred water

Step-by-step explanation:

Answer: The change received is $8.00

Step-by-step explanation:

20-12=8

Using p for price and q for quantity, the demand function is; q = -3/2p + 1590

Given that at;

The monthly demand at a price of $900 = 240

The monthly demand at a price of $850 = 315

We are told that the system is a linear function. Therefore demand function would be in the form of slope intercept form as;

q = mp + c

Where;

q = quantity demanded

p = price

m = slope

c = y-intercept

At a price of $900 with a monthly demand of 240 gives the equation;

240 = 900m + c  ---(1)

At a price of $850 with a monthly demand of 315 gives the equation;

315 = 850m+ c  ------(2)

Subtracting eqn 2 from 1 gives;

-75 = 50m

m = -75/50

m = -3/2

Substituting m = -3/2 into equation 1;

240= -3/2(900) + c

c = 240 + 3/2(900)

c = 1590

Therefore the demand function can be given as; substituting m and c into equation 5, we have; q = -3/2p + 1590

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Answer:

-$13.5

Step-by-step explanation:

Let x be a random variable of a count of player gain.

- We are told that if the die shows 3, the player wins $45.

- there is a charge of $9 to play the game

If he wins, he gains; 45 - 9 = $36

If he looses, he has a net gain which is a loss = -$9

Thus, the x-values are; (36, -9)

Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5

Answer:

b and c

Step-by-step explanation:

I just did it in edgen 2021

The probability of there is one faulty light is 0.60%, There are two faulty lights is 0.12% and There is at least one faulty light is 0.60%.

The likelihood that an event will occur is measured by probability. It is difficult to make a complete prediction for many events. By using it, we are only able to forecast the likelihood of an event, or how likely it is, to occur. Between 0 and 1, where 1 denotes a certain event and 0 denotes an impossibility, is the range of probability. For students in class 10, probability is a crucial subject because it clarifies all of the fundamental ideas. In a sample space, there is a probability of 1 for each event.

a. Let there be 100 lights, 1/5th are faulty = 20

There is one faulty in first three, P = 3/100 × 20/100

                                                          = 0.006

                                                          = 0.60%

b. There are two faulty lights, P = 3/100 × 20/100 × 20/100

                                                          = 0.0012

                                                          = 0.12%

c. There is at least one faulty light = 3/100 ×1/5

                                                           = 0.006                                                                            

                                                           = 0.60%      

Thus, The probability of there is one faulty light is 0.60%, There are two faulty lights is 0.12% and There is at least one faulty light is 0.60%.

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The sum of the infinite geometric sequence is 3 3/4

From the question, we have the following parameters that can be used in our computation:

The geometric sequence

In the geometric sequence, we have

First term, a = 3/5¹⁻¹

a = 3

Also, we have

Common ratio, r = 1/5

The sum of the infinite geometric sequence is calculated as

Sum = a/(1 -  r)

So, we have

Sum = 3/(1 -  1/5)

Evaluate

Sum = 3 3/4

Hence, the sum of the infinite geometric sequence is 3 3/4

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Answer:

Uhhhh... 54?

Step-by-step explanation:

Just add them together.

For an arithmetic sequence whose first term is 4 and common difference is 3, we conclude that its 20th value of the given sequence is equal to 61.

In this question we must calculate the 20th term of a given arithmetic sequence. Arithmetic sequences are discrete sets, whose values are determined by the following linear expression:

y = a + r · (n - 1)     (1)

Where:

If we know that a = 4, r = 3 and n = 20, then the 20th term of arithmetic series is:

y = 4 + 3 · (20 - 1)

y = 61

For an arithmetic sequence whose first term is 4 and common difference is 3, we conclude that its 20th value of the given sequence is equal to 61.

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Answer:

The answer is 16

Step-by-step explanation:

Hi there!

The angles shown are supplementary

Supplementary angles have a measure of 90 degrees

This means that 3x + 5 + 37 = 90

3x + 5 + 37 = 90

Combine like terms

3x + 42 = 90

Take away 42 from each side

3x = 48

Divide by 3

x = 16

Hope this helps! :)

Answer:

O B) 16

Step-by-step explanation:

90° (total) - 37° = 53°

(3x+5) = 53°

(3x-5)  = -5°         Subtract 5 from both sides!

3x = 48               Solve

x = 16

Answer:

90

Step-by-step explanation:

as the hours of training increase by 10 the monthly salary increases by 150

Answer:

19.6 hours

Step-by-step explanation:

you 1st do 1250/10=125

125x19 = 2375

then take a decimal

125x19.6=2450 :) enjoy!

Answer:

Step-by-step explanation:

Given the following geometric progression; 1/2 + 1/10 + ( 1/50) + (1/250 ) + ... + (1/31,250),the sum of the arithmetic geometric progression is expressed using the formula below;

Sn = a(1-rⁿ)/1-r  for r less than 1

r is the common ratio

n is the number of terms

a is the first term of the series

In between the mid-line ellipsis there are 2 more terms, making the total number of terms n to be 7]

common ratio = (1/10)/(1/2) =  (1/50)/(1/10) =  (1/250)/(1/50) = 1/5  

a = 1/2

Substituting the given values into the equation above

S7 = 1/2{1 - (1/5)⁷}/1 - 1/5

S7 = 1/2(1- 1/78125)/(4/5)

S7 = 1/2 (78124/78125)/(4/5)

S7 = 78124/156,250 * 5/4

S7 = 390,620/625000

S7 = 39062/62,500

Hence the geometric sum is 39062/62,500

The rate of change of the linear relationship represented by the table will be 1,200.

What is Number system?

A system of writing to express the number is called number system.

Given that;

Number of Bulls-Eyes Made 0 4 7 10

Points Displayed 1000 5800 9400 13,000.

Now,

The rate of change the linear relationship is calculated as;

= (5800 - 1000) / (4 - 0)

= 4800 / 4

= 1,200

Thus, The rate of change of the linear relationship represented by the table will be 1,200.

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;

Step-by-step explanation:

start with this formula

y=mx+b

m is slope

and b is the y intercept so on the y axis place point on -3

the slope m is 2 so, go up 2 points in the y axis then right 1 point(since slope is (2/1)) and place 2nd point there

connect dots and place arrow heads

it is the 2nd graph

Answer:

sample What is the length of a rectangle if the width is

10 centimeters and the diagonal is 16 centimeters?

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:hope this helps

Answer:

C or the third option, 3/4 x + 10

Step-by-step explanation:

100% correct please mark brainlist. HAVE A GREAT DAY

Answer:

.6

Step-by-step explanation:

Using Bayes' theorem

While s = smoker

n = nonsmoker

D = died

P(s) = .13

P(n) =.87

P(D/s) =0.02

P(D/n) =0.002

P(s/D) = ??

\(P(s/D)=\frac{P(s)*P(D/s)}{P(s)*P(D/s)+P(n) *P(D/n)} =\frac{.13*.02}{.13*.02+.87*.002}=.6\)