round 34 1/8 to the nearst whole number​

Answer:

first 35 out of 100 then second person 34 out of 99

Step-by-step explanation:

The probability of a person being randomly choosing having waiting time greater than 4.25 is 0.2917 or 29.17%.

To answer this question we need to know about-

Probability is the measure of the likelihood of an event to happen. The probability value ranges between 0 and 1.

When the probability value is 0, it means that the event is impossible to happen.

When the probability value is 1, it means that the event is certain to happen.

Uniform distribution is when the values of a probability distribution are spread uniformly across the interval, it is called a Uniform distribution

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 6 minutes.

The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is found as follows:

Let X = Waiting time of a randomly selected passenger P(X > 4.25) = ?

Now we have to use the uniform distribution formula to find the probability:

P(C< X >D)=C-D/B-A

where C = lower value of the selected interval

           D= upper value of the selected interval

           B= highest value of the selected interval

           A= lowest value of the selected interval

putting above values in the formula -

P(X > 4.25) = 6 - 4.25/6-0= 0.2917

Hence the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.2917.

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Answer:

It will take 14.4 years to double your investment with a interest rate of 5%.

Step-by-step explanation:

Answer:

x=5,1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The value of the unknown number x is 8.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The given numbers include:

The sum of the given numbers is calculated as follows:

\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)

The mean of the given 4 numbers is calculated as follows:

\(\dfrac{12+\text{x}}{4} =5\)

\(12+\text{x}=20\)

\(\text{x}=20-12\)

\(\text{x}=8\)

Thus, the value of the unknown number x is 8.

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The closest option from the given choices is 0.04 or 0.48.

To calculate the probability that a randomly chosen student who graduated in 2005-2006 with a doctorate is female, we need to find the ratio of the number of females with doctorate degrees to the total number of individuals with doctorate degrees.

From the given data, we can see that the number of females with doctorate degrees is 27. The total number of individuals with doctorate degrees is the sum of females and males with doctorate degrees, which is 27 + 631 = 658.

Therefore, the probability that a randomly chosen student with a doctorate degree is female is:

P(Female | Doctorate) = Number of females with doctorate degrees / Total number of individuals with doctorate degrees

P(Female | Doctorate) = 27 / 658

Calculating this expression:

P(Female | Doctorate) ≈ 0.041

Rounding to two decimal places, the probability that a randomly chosen student who graduated in 2005-2006 with a doctorate is female is approximately 0.04, or 4%.

So the closest option from the given choices is 0.04 or 0.48.

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Step-by-step explanation:

From the question

Perimeter = 2L + 2W

L = 24 units

W = 11 units

Substitute the values into the above formula

That's

P = 2(24) + 2(11)

P = 48 + 22

P = 70 units

Therefore the perimeter of the rectangle cannot be 60 units since the values when substituted into the above formula will give us 70 units

Hope this helps you

To get that answer, apply the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-8 - (-8))/(9 - (-2))

m = (-8 + 8)/(9 + 2)

m = 0/11

m = 0

Any line with slope 0 is completely horizontal.

As a quick rule of thumb: if the y coordinates of the two points are the same, then the slope is 0 on this horizontal line.

a) The current monthly cost is $1522.25.

b) The marginal cost when x = 35 is $38.6.

c) The estimated monthly cost of increasing production to 37 chairs per month is $77.2.

d) The actual additional monthly cost of increasing production to 37 chairs per month is $69.11.

To find the current monthly cost, we need to substitute x = 35 into the cost function C(x).

Given the cost function:

C(x) = 0.004x³ + 0.07x² + 19x + 600

(a) Current monthly cost:

To find the current monthly cost, substitute x = 35 into the cost function:

C(35) = 0.004(35)³ + 0.07(35)² + 19(35) + 600

Calculating this expression, we get:

C(35) = 0.004(42875) + 0.07(1225) + 665 + 600

C(35) = 171.5 + 85.75 + 665 + 600

C(35) = 1522.25

Therefore, the current monthly cost is $1522.25 (rounded to the nearest cent).

Answer: The current monthly cost is $1522.25.

Note: For parts (b), (c), and (d), we need to calculate the derivative of the cost function, C'(x).

The derivative of the cost function C(x) with respect to x gives the marginal cost function:

C'(x) = 0.012x² + 0.14x + 19

(b) Marginal cost when x = 35:

To find the marginal cost when x = 35, substitute x = 35 into the marginal cost function:

C'(35) = 0.012(35)² + 0.14(35) + 19

Calculating this expression, we get:

C'(35) = 0.012(1225) + 4.9 + 19

C'(35) = 14.7 + 4.9 + 19

C'(35) = 38.6

Therefore, the marginal cost when x = 35 is $38.6.

Answer: The marginal cost when x = 35 is $38.6.

(c) Estimated monthly cost of increasing production to 37 chairs per month:

To estimate the monthly cost of increasing production to 37 chairs per month, we can use the marginal cost as an approximation. We assume that the marginal cost remains constant over this small increase in production.

So, we can estimate the additional cost by multiplying the marginal cost by the increase in production:

Estimated monthly cost = Marginal cost * (New production - Current production)

Estimated monthly cost = 38.6 * (37 - 35)

Estimated monthly cost = 38.6 * 2

Estimated monthly cost = 77.2

Therefore, the estimated monthly cost of increasing production to 37 chairs per month is $77.2.

Answer: The estimated monthly cost of increasing production to 37 chairs per month is $77.2.

(d) Actual additional monthly cost of increasing production to 37 chairs per month:

To find the actual additional monthly cost of increasing production to 37 chairs per month, we need to calculate the cost difference between producing 37 chairs and producing 35 chairs.

Actual additional monthly cost = C(37) - C(35)

Actual additional monthly cost = [0.004(37)³ + 0.07(37)² + 19(37) + 600] - [0.004(35)³ + 0.07(35)² + 19(35) + 600]

Calculating this expression, we get:

Actual additional monthly cost = [0.004(50653) + 0.07(1225) + 703 + 600] - [0.004(42875) + 0.07(1225) + 665 + 600]

Actual additional monthly cost = [202.612 + 85.75 + 703 + 600] - [171.5 + 85.75 + 665 + 600]

Actual additional monthly cost = 1591.362 - 1522.25

Actual additional monthly cost = 69.112

Therefore, the actual additional monthly cost of increasing production to 37 chairs per month is $69.112 (rounded to the nearest cent).

Answer: The actual additional monthly cost of increasing production to 37 chairs per month is $69.11.

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Answer:

1. -21

2 . 14

3. -5

sorry if I'm wrong

Step-by-step explanation:

1. f(x) = 4 (-3) -9

f(x) = -12 - 9

f(x) = -21

2. f(x) = 1/3(-3) +13

f(x) = 1 + 13

3. f(x) = -2 (-3) -11

f(x) = 6 - 11

In order to determine whether a distribution belongs to the exponential family, we need to know its probability density function (PDF) or probability mass function (PMF). The exponential family is a class of probability distributions that can be expressed in the form:

f(x|θ) = h(x) exp{θT T(x) - A(θ)}

where x is the random variable, θ is the vector of parameters, T(x) is a sufficient statistic, h(x) is a known function, and A(θ) is the log normalizer.

If the distribution you are considering can be expressed in this form, then it belongs to the exponential family. If it cannot be expressed in this form, then it does not belong to the exponential family.

It is also worth noting that the exponential family includes many commonly used distributions, such as the normal, gamma, Poisson, and Bernoulli distributions.

A variable is a characteristic that may be measured and have a range of values. There are numerous factors, including height, age, money, birthplace province, academic rank, and type of housing. Variables can be grouped using categorical and numeric categories, respectively.

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Answer:

39 inch

Step-by-step explanation:

Answer:

H=39.0625

Step-by-step explanation:

D=32in

R=1/2d=32/2=16

Volume of cylinder:pi r^2h

V=pir^2h

10000pi=16^2hpi

256h=10000

h=39.0625

The area of a circle as a function of its diameter is A(d) =  \(\frac{\pi d^2}{4}\).

We have to find the area of a circle as a function of its diameter.

Let the diameter of the circle be d.

We know the formula,

Area of circle = \(\pi r^2\)

Where,

r is the radius of the circle.

\(\pi\)  = constant.

We know that,

Radius is equal to half the diameter of a circle.

Hence, we can write

r = d/2

Where d is the diameter of the circle.

Hence, we can write,

Area of circle as a function of its diameter = A(d) = \(\pi (\frac{d}{2})^2 = \frac{\pi d^2}{4}\).

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It will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.

First, we need to convert the dimensions of the tank from inches to feet:

68 inches diameter = 68/12 feet = 5.67 feet diameter

24 feet long = 24 feet long

Next, we can calculate the volume of the tank in cubic feet:

Since 1 cubic foot of water weighs 62.4 pounds, we can calculate the weight of the water in the tank in pounds:

To find out how long it will take to fill the tank, we can use the flow rate of the fire hydrant:

Finally, we can divide the volume of the tank by the flow rate to find out how long it will take to fill the tank:

Therefore, it will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.

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The simplified equation of \(\frac{x^{2}-9 }{3x^{2} +8x-3}+\frac{x-3}{x+2}\)  is \(\frac{(x-3)(4x+1)}{(3x-1)(x+2)}\)

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,

\(\frac{x^{2}-9 }{3x^{2} +8x-3}+\frac{x-3}{x+2}\)

3x² + 8x - 3 = (3x - 1)(x + 3)

x² - 9 = (x - 3)(x + 3)

Therefore,

\(\frac{(x-3)(x+3)}{(3x-1)(x+3)} +\frac{x-3}{x+2} =\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}\)

Therefore,

\(\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}\)

\(\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\frac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}\)

Therefore,

\(\frac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \frac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}\)

\(\frac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\frac{(x-3)(4x+1)}{(3x-1)(x+2)}\)

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Answer:

Why is there a B in there?

Step-by-step explanation:

Answer:

The z-Table gives the area under the standard normal curve to the left of z. What does the t-Table give? The t-Table gives the area under the t-curve with n degrees of freedom to the left of it

HOPE THIS HELPSSS!

Answer:

4.416 and on going for example 4.41666666666

The population difference within the pair is normal.

The population distribution of mice with and without diabetes are identical.

mRNA population distribution for mice with diabetes is shifted relative to the population distribution for mice without diabetes.

Conclusion,

the two population has same shape , the two samples are independent  simple random samples  and the two samples are paired , the population means are the same .

Hence, each of the two population distribution is normal.

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The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Answer: The sequence modeling the amount of money in Samuel’s savings account is a recursive sequence. Each term in the sequence is determined by adding $75 to the previous term. The first term in the sequence is $100, representing Samuel’s initial deposit. After n months, the amount of money in Samuel’s savings account can be calculated using the formula An = An-1 + 75, where An represents the amount of money in his account after n months and An-1 represents the amount of money in his account after n-1 months.

For example, after 1 month, the amount of money in Samuel’s savings account will be A1 = A0 + 75 = 100 + 75 = $175. After 2 months, the amount of money in his account will be A2 = A1 + 75 = 175 + 75 = $250. And so on.

Answer:

b

Step-by-step explanation:

Answer:

%50

%-15

%40

%62.5

%27.5

%60

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The Elephant Building is 335 feet high. A real Asian elephant is 12 feet tall. If 29 real elephants could stand on top of each other, would they reach the top of the building?

They are asking if 29 12' elephants are as tall as as a 335' building:

29 × 12' = 348' elephant stack

because 348' is taller than 335' building then yes, 29 staked elephant would reach and pass the top of a 335' building.  

Answer:

4

Step-by-step explanation:

every 2 servings, 8 oz. every 1 serving, 4 oz.

Answer:

try looking up rise over run method. that's what i was taught to use for rate of change. it's easier so basically it's x over y

Step-by-step explanation: