If e^5x = k, where k is any positive number, then what is the value of x?
A. lnk/ln5
B. ln(k/5)
C.1/5*ln k
D. 5 * 1/ln k

The  probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:

(n choose x) = n! / (x! * (n-x)!)

So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:

P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
     = 7 * 0.65^6 * 0.35^1
     = 0.3052

Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

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Answer:

\(120-2.614\frac{5}{\sqrt{130}}=118.85\)    

\(120+2.614\frac{5}{\sqrt{130}}=121.15\)    

Step-by-step explanation:

Information given

\(\bar X= 120\) represent the sample mean

\(\mu\) population mean (variable of interest)

s=5 represent the sample standard deviation

n=130 represent the sample size  

For this case we can't set a margin of error just with a % since they not specify 1.13% respect to something for this case we can omit this value

Confidence interval

The confidence interval for the mean is given by the following formula:

\(\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}\)   (1)

The degrees of freedom are given by:

\(df=n-1=130-1=129\)

The Confidence level is 0.99 or 99%, the significance would be \(\alpha=0.01\) and \(\alpha/2 =0.005\), and the critical value would be \(t_{\alpha/2}=2.614\)

And replacing we got:

\(120-2.614\frac{5}{\sqrt{130}}=118.85\)    

\(120+2.614\frac{5}{\sqrt{130}}=121.15\)    

Answer:

I like science right now but last year i was a huge history buff

Answer:

History cuz i never pay attention but still gets A's

Step-by-step explanation:

Answer:

706 out 2201

Step-by-step explanation:

the total number of the passengers in the cabin out of the total number of the passengers that were on board.

I hope this helps you..!

Answer:

57°

Step-by-step explanation:

180° - 123° = 57°

Answer: 35,000 · 0.87t

Step-by-step explanation: A coefficient is multiplying

The option that describes the Coriolis effect is D. the direction of air currents in the Northern and Southern Hemispheres.

The effect of the Earth's rotation on weather patterns and ocean currents is known as the Coriolis effect. Storms swirl clockwise in the Southern Hemisphere and counterclockwise in the Northern Hemisphere due to the Coriolis effect. Circulating air is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere as the Earth rotates on its axis. The Coriolis effect refers to this deflection.

The rotation of the Earth causes the Coriolis effect. Moving objects in the Northern Hemisphere tend to curve to the right of their intended paths; moving objects in the Southern Hemisphere tend to curve to the left of their intended paths. The Coriolis effect causes moving objects to accelerate or decelerate.

Therefore, based on the information given, it should be noted that the correct option is D.

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Answer: 38°

Step-by-step explanation:

just took the test

Answer:

2x+7+73=180

2x=100

x=50

and the BDH m =107

Answer: I Think it's 20%

Answer:

4

Step-by-step explanation:

Answer:

y=5x−4

Step-by-step explanation:

Step 1: Add -5x to both sides.

Step 2: Divide both sides by -1.

Answer:

801.5

Step-by-step explanation:

(12*12*8.5)-(6.5*6.5*10)

total cookies first to find ratio values

8 + 9 + 7 + 6 = 30 total

first ratio is sugar cookie to total

7 / 30 chances

after eating the sugar cookie, the total reduces to 29

second ratio is the new total

8 / 29 chances.

potential bonus??

the odds of this happening in this exact order is both odds multiplied.

so (7/30) × (6/29) = 7 / 145 chances she completes this in the exact order stated.

Answer:

One ticket is $153

Step-by-step explanation:

x = The price of a ticket

855=5x+18(5)

855=5x+90

765=5x

153=x

Answer:

x = $159

Step-by-step explanation:

5 tickets are bought, the price of them is unknown?

1 ticket per $18 travel insurance

5 tickets = 18 × 5

insurance per 5 tickets = $90

the equation:

let X represent the number of tickets.

5x + 90 = 885. the total cost of insurance and tickets = 885

we solve the equation.

5x=885 - 90

5x= 795. divide by 5 into both sides.

x= $159. which is the price of one ticket.

Here, we want to determine the end behavior of the given polynomial

To do this, we need to know the leading coefficient sign and the degree of the polynomial (if even or odd)

As we can see, the leading coefficient is a positive number while the degree of the polynomial is odd

So, we need to evaluate the behavior of a polynomial with a positive leading coefficient and an odd degree

The correct answer here is that;

Answer:

B trustttttttt

Step-by-step explanation:

There are 20,000 different phone numbers possible that is 7-digits long and start with either 824 or 825.

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Based on the given information, all phone numbers are 7-digits long and starts with either 824 or 825. Hence, the four last digits will be the combination of numbers from 0 to 9.

Thus, by Fundamental Principle of Counting, the number of possible outcomes is 20,000.

= (number of phone numbers starting with 824) + (number of phone numbers starting with 825)

= (10 x 10 x 10 x 10) + (10 x 10 x 10 x 10)

= 20,000

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From the graph, if the price increases to $25

The quantity demand will decrease

Quantity supply increases --------This is the reaction from the retailers

Answer:

24 spoons of sugar

Step-by-step explanation:

240/40= 6

6x4= 24

Answer:

Lysosomes

Step-by-step explanation:

Answer:

c + 13c ≥ 78c

78c - 13c =

65c

Answer:( b )i think

Step-by-step explanation:

a 95% confidence interval for the variation in the average employee salary for the two companies.

a. The test statistic is calculated by subtracting the sample mean of Company A from the sample mean of Company B, and then dividing the result by the square root of the variance, which is calculated by summing the population standard deviations of Company A and Company B, and then dividing by the sum of the sample sizes of Company A and Company B.

Test statistic = (48 - 43) / √(12^2 + 10^2) / (72 + 50) = 0.766

b. The p-value is calculated by using the test statistic to look up the value in a t-distribution table with degrees of freedom equal to the sum of the sample sizes minus two. The p-value is 0.239.

At a=.05, the null hypothesis that there is no difference between the average salaries of the employees at the two companies cannot be rejected.

c. Company A appears to have the higher salary. The 95% confidence interval for the difference between the population mean salary of employees for the two companies is (3.073, 5.927).

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Answer:

Jason is training for a triathlon and needs to swim a certain distance for ... If he swims at the rec center pool, he will complete a 200-yard warmup and then swim laps in a lane that is 20 yards long. If Jason swims at the indoor pool at his gym, he will complete a ... How long will Jason's workout be in total? 1.

Step-by-step explanation:

If there were no count variable, the complexity of the size() method for the linked implementation of a list would be O(n).

How complicated is the size?

Since the linked list's length cannot be stored in a count variable, we must traverse the list from head to tail to get its size.

To obtain the size for n nodes, we will traverse all n nodes. As a result, the time complexity is O (n).

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The probability that the death of a randomly selected manatee was due to collision with a watercraft is 0.2066.

What is probability?

A probability is a number that describes how likely an event is to occur in science. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The probability of an event increasing as its likelihood increases.

As given,

Number of deaths caused by collision with a watercraft is 81.

And total number of deaths recorded manatee deaths in 2012 is 392.

Evaluate the probability due to collision with a watercraft as follows:

P(collision) = Number of deaths caused by collision / Total number of deaths

= 81/392

= 0.2066

Hence, the probability that the death of a randomly selected manatee was due to collision with a watercraft is 0.2066.

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The translation from y = \(4^x\) to y = \(4^x\) + 3 - 1 are:

- Translating vertically 3 units up.

- Translating vertically 1 unit down.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

y = \(4^x\) and y = \(4^x\) + 3 - 1

Now,

y = \(4^x\)

Translating vertically 3 units up we get,

y = \(4^x\) + 3

Again,

Translating vertically 1 unit down we get,

y = \(4^x\) + 3 - 1

Thus,

The translation from y = \(4^x\) to y = \(4^x\) + 3 - 1 are:

- Translating vertically 3 units up.

- Translating vertically 1 unit down.

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Step-by-step explanation:

y=|x| is a vee graph starting at (0,0)

y=|x| - 3 is a vee graph starting (0,-3)

see attachment

The new credit card balance on her credit card is $219 if no interest is added on balance.

The total sum of money owing by a cardholder to their credit card company is known as their credit card balance. Balances fluctuate depending on when and how they are used; they rise when purchases are made and fall when payments are made by cardholders. Any sum that is left over at the end of the billing cycle is added to the bill for the following month and is subject to interest. The balances on a person's credit cards play a significant role in determining their credit score. Future lenders will evaluate them to assess the risk (and price) of extending further credit to their clients.

Given that Mabel owes $374 and make a repayment of $155.

Then the new credit card balance is, if no interest is added on balance

= $374 - $155

= $219

So, The new credit card balance on her credit card is $219

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