An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population.
Find the probability that the sum of the 95 values is less than 7,450. (Round your answer to 4 decimal places)

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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The length of the rectangle is 12 meters and its width is 4 meters.

A rectangle is a four sided figure, whose opposite sides are equal and the angle formed by any two adjacent sides is 90 degrees.

Here, we are given that the perimeter of the rectangle is 32 meters.

Let the length of the rectangle be L and breadth or width be B

We known that perimeter of a rectangle = 2(L + B)

Now, it is given that the length is 4 m more than two times the width

⇒ L = 4 + 2B

Thus, the area of the perimeter will be-

Perimeter = 2(4 + 2B + B)

⇒ 32 = 2(4 + 2B + B)

32/2 = 4 + 2B + B

16 = 4 + 3B

16 - 4 = 3B

12 = 3B

or 3B = 12

B = 12/3

B = 4

Thus, the width of the rectangle is 4 meters.

Therefore, L = 4 + 2(4)

L = 4 + 8

L = 12

Thus, the length of the rectangle is 12 meters.

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The probability that both marbles are​ red will be 0.055.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. The probability is given as,

P = (Favorable event) / (Total event)

A jar full of marbles is kept by Li. There are 16 purple marbles, 10 red marbles, and 15 blue marbles in the jar. A stone is chosen at random by her from the jar. She leaves the marble alone. She takes another stone out of the jar.

The total number of event = 16 + 10 + 15 = 41

Then the probability of both marble should be red will be given as,

P = (10 / 41) x (9 / 40)

P = 0.055

Thus, the probability that both marbles are​ red will be 0.055.

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the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.

According to the question, we have the information that:

N = 3 million

No = 2.7 million

a = 8 years

Now, we need to find the exponential model for the given data.

Do putting the values in the equation to get the value of a, we have:

3 = 2.7 (a)^(8)

1.1111 = a^(8)

a = 1.0133

So, the exponential model will be:

N = 2.7 (1.0133)^(t)

Now, the estimated population in 2009 will be:

t = - 1

So, we get that:

N = 2.7 (1.0133)^(-1)

N = 2.7 / 1.0133

N = 2.6646 million

Therefore the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.

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The numerical expression that shows the amount of marbles that Alan has now is; 3(5 + 4)

We are told that he found 4 marbles to add to the 5 marbles in his collection.

Thus, after addition, total number of marbles is;

5 + 4 = 9 marbles

Now, we are told that he tripled this sum of marbles he had. Thus;

Tripling of marbles = 9 * 3

Thus, the numerical expression that shows the amount of marbles that Alan has now is;

3(5 + 4)

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Correct question is;

Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.

Which numerical expression shows the amount of marbles Alan has now?

The domain is written in the form { x : x ≠ 7/3 }

Given data

Y= 1-7x / 8-|3x-15|

The domain refers to the values of x, from the equation we solve for the possible values that will not make the equation undefined.

For the equation to be undefined the denominator should be zero hence we solve for the value of x that will make the equation, to have a denominator equal to zero and the domain will be any other values of x except the value that gives the denominator equal to zero,

The denominator is 8-|3x-15|

solving for the value of x that gives the equation that makes the equation equal to zero

8-|3x-15| = 0

3x - 15 = -8

3x = -8 + 15

3x = 7

x = 7/3

The domain is written in the form { x : x ≠ 7/3 }

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The average number of viewers over the two weeks will be 3.85 × 10⁴.

It should be noted that based on the information, the TV show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.

Therefore, the average number of viewers over the two weeks will be:

= [(3.6 × 10⁴) + (4.1 × 10⁴)] / 2

= 3.85 × 10⁴

Therefore, the average number of viewers over the two weeks will be 3.85 × 10⁴.

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Answer:

  156 games

Step-by-step explanation:

You want to know the total number of games when each of 13 teams plays every other team exactly twice.

Each of the 13 teams will meet 12 others, for a total of 13×12 = 156 meetings.

This total counts the time team 1 meets team 2, and also the time team 2 meets team 1. In other words, this is exactly the game count we're looking for.

  156 games will be played.

__

Alternate solution

Team 1 will meet teams 2 through 13, for a total of 12 games. Team 2 has already met team 1, so will need to meet teams 3 through 12 for a total of 11 games. When we count all the games for one meeting between teams, we find the count to be 12 +11 +10 +9 +... +1 = (12)(13)/2 = 78.

If the teams are to meet twice, then 2 times this number of games will be played: 2(78) = 156.

The sum of integers 1 .. n is (n)(n+1)/2.

Answer:

The 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

The 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

The 41 week gestation's period baby weighs relatively less.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean  and standard deviation , the z-score of a value X is given by:

The zscore represents how many standard deviations the value of X is above or below the mean .

Find the corresponding z-scores.

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800 grams. A 32-week gestation period baby weighs 2450.

Here, we have .

So

A negative z-score indicates that the value is below the mean.

So, the 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

Babies born after a gestations period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 385 grams. A 41 week gestation period baby weights 2650 grams.

Here, we have

So, the 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

Which baby weighs relatively less?

The 41 week gestation's period baby has a lesser z-score, so this means that he weighs relatively less.

Answer:

option c is correct....

Answer: $120

Step-by-step explanation:

5 * 60 (5 cents every minute with 60 minutes in a hour makes 300 cents per hour)

300 * 40 (300 cents per hour multiplied by 40 hours makes 12000 cents)

12000 / 100 (12000 cents divided by 100 since 100 cents in a dollar)

120 is the answer

the expression of the variable for a = 2 and c = 3. 2a − (c + a)2

2a+b^2 2a +b2

2(-3) +(-2)^2 2(-3) + (-2)

-6 +4 -6 -4

-2 -10

An expression is a set of terms combined using the operations +, -, x or ÷, for example 4 x − 3 or 5 x 2 − 3 x y + 17 . An equation is a statement with an equals sign, which states that two expressions are equal in value, for example 4 b − 2 = 6 .

Either the options are incorrect, or the problem is poorly written.

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The equation that could be used to determine, m, is 4m = 18.2 - 5

The average number of miles (m) is 3.3 miles to ride each day to meet her goal.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Total distance of ride Alisha wants by her bicycle (d) = 18.2 miles.

And, She has already ridden 5 miles.

She rides for 4 more days.

Now, Let the average number of miles = m

She has already ridden 5 miles.

And, She rides for 4 more days.

The number of miles she needs to ride more is

18.2 miles  - 5 miles

= 13.2 miles

If m is the average number of miles she must cycle in 4 days to reach her objective,

Hence, we can formulate;

4m = 13.2

Divide both side by 4,

m = 3.3 miles

So, The equation that could be used to determine, m, is 4m = 18.2 - 5

The average number of miles is 3.3 to ride each day to meet her goal.

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An equation that relates T to N can be written as T = 750 + 630N.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).

Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:

T = A + B

Substituting the given parameters into the formula, we have;

T = (750 + 135N) + 495N

T = 750 + 135N + 495N

T = 750 + 630N.

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Complete Question:

Raina and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.

Simplify your answer as much as possible.

Answer:

[tex]x=\frac{3\left(1+\sqrt{3}\right)}{2},\:x=\frac{3\left(1-\sqrt{3}\right)}{2}[/tex]

Step-by-step explanation:

[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:2\left(-9\right)}}{2\cdot \:2} < - InsertQuadraticFormula[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:6\sqrt{3}}{2\cdot \:2}[/tex]
[tex]x_1=\frac{-\left(-6\right)+6\sqrt{3}}{2\cdot \:2},\:x_2=\frac{-\left(-6\right)-6\sqrt{3}}{2\cdot \:2} < - Separate THE Solutions[/tex]
[tex]x=\frac{3\left(1+\sqrt{3}\right)}{2},\:x=\frac{3\left(1-\sqrt{3}\right)}{2}[/tex]

The translated statements, in order, are:

Here we have the proposition:

And the symbols are:

Then each quotation is:

p → q

"If you can count your money, then, you don't have a billion dollars"

p ∨ q

"You can count your money or you don't have a billion dollars"

~q

"You do have a billion dollars"

q ↔ p

"You can count your money if and only if you don't have a billion dollars"

p ∧ q

"You can count your money and you don't have a billion dollars"

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A scalar quantity, speed is defined as the size of the change in an object's or particle's location over time or the size of the change in an object's position per unit of time.

In statistics, a percentile (or centile) is a metric that expresses the value at or below which a specified percentage of observations in a collection of observations fall. The value (or score) below which 20% of the observations may be found is called the 20th percentile, for instance.

A higher percentile for speed is preferable for runners in a race. A high percentile indicates a faster, greater speed.

40% of athletes completed their runs at 7.5 mph or less (slower). 60% of athletes covered at least 7.5 miles per hour (faster).

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Situation of non- proportional relationship :

The circumference of a circle with a radius of x units can be represented by = 2nx.

The perimeter of an equilateral triangle with a side length of x  units can be represented by y = 3x

The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by y = 2xx + 2x

The radius of a circle with a diameter of x units can be represented by y = [tex]\frac{1}{2}x[/tex]

a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. The graph of a proportional relationship is a line through the origin.

When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.

The graph shows the sales tax charged based

on the amount spent at a video game store in

a particular city. Does the graph show a linear

relationship? Is the relationship proportional

or nonproportional?

The graph shows a linear proportional

relationship because it is a line that contains

the origin.

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The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft

Given that A rectangle garden is to be constructed so that the width is 150 ft and atmost fencing can be used is 1200ft and asked to find the possible values of length of the rectangle garden.

It mean maximum value of perimeter = 1200ft

The minimum perimeter can be 2(150+151)=602ft as the length of rectangle must be greater than the bredth of rectangle

Therefore the minimum value of length of rectangle is 151 feet

The maximum perimeter is 1200ft

1200=2(150+length of rectangle)

Maximum value of the length of the rectangle=450ft

Therefore,The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft

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Answer: The number of ribbons used to trim the Curtains are 72 inches.

Step-by-step explanation:

Let us convert all numbers into inches.

Then, 1 yard= 36 inches

Given data, 5/2yards

So, 5/2 yards means.,

5/2= 2.5 yards

We can write: 2.5yards=2.5x36inches

=90inches

We convert feet into inches

1feet=12inches

We consider 1feet=12inches

In this question she had 1feet 6 inches of ribbons left.

Then 1x12=12inches

More 6 inches: 12+6=18inches

Now subtract 18 inches from 90 inches to get the inches used to trim curtains

Then, 90inches-18inches=72 inches

Thus, the number of ribbons used to trim the Curtains are 72 inches.

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Answer: division property of equality

Step-by-step explanation:

The value of given set in modulus function IAI = 3.

A modulus function returns the magnitude of such a number regardless of its sign. It's also recognized as the absolute value function.

The modulus function's value is always non-negative. That unless f(x) is a modulus function, we get:

Now, as per the given question;

Groub A= {-3}

Estimate the IAI

IAI = I-3I

By the property of modulus function.

IAI = 3 (absolute value)

Therefore, the value of IAI is 3.

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Answer:

See explanation

Step-by-step explanation:

If two of the side lengths are equal, use only one of those two equal side lengths. Then, using that one side length, multiply that side length with the third side length to get the area.

side length a, b, and c.

a=b.

A=area.

A=b*c ==> Area of rectangle

Step-by-step explanation:

the answer is o={3,5,79,11,13,15,17.....................}

Answer:

it is very tough questions

Answer: I hope this helps.

Step-by-step explanation:

Answer:

Banks charge fees to help make a profit.

Step-by-step explanation:

Bank fees allow financial institutions to recoup operating expenses. Banks also make money on loans, via interest and other fees.