hey guys i need help on this quizzlet

The required probability for randomly selected students spend between $300 and $400 on clothing in a year is equal to 0.6730 or 67.30% (approximately ).

For a normal distribution with a mean (μ) of $340

And a standard deviation (σ) of $50.

Let X be the amount of money spent on clothing by a randomly chosen student.

Probability that a randomly chosen student will spend between $300 and $400 on clothing in a year,

P(300 < X < 400)

Standardize the distribution by converting the given values to z-scores, using the formula,

z = (X - μ) / σ

For the lower limit, we have,

z1 = (300 - 340) / 50 = -0.8

For the upper limit, we have,

z2 = (400 - 340) / 50 = 1.2

Area under the standard normal distribution curve between these two z-scores.

Standard normal distribution table

Probabilities, or use the properties of the normal distribution to calculate it as,

P(-0.8 < Z < 1.2)

= P(Z < 1.2) - P(Z < -0.8)

Using a standard normal distribution table we have,

P(Z < 1.2) ≈ 0.8849

P(Z < -0.8) ≈ 0.2119

Substituting these values in the above equation, we get,

P(-0.8 < Z < 1.2)

≈ 0.8849 - 0.2119

≈ 0.6730

Therefore, the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year is approximately 0.6730 or 67.30%.

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Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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The value of the angle cos(L)° will be 0.42.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is a fundamental area of study in mathematics, with applications in a wide range of fields such as physics, engineering, navigation, architecture, and more.

Given that in a triangle JKL the side KL is 15 and the side JK is 36. The value of cos(L)° is the ratio of the side JK and KL.

cos(L)° = JK / KL

cos(L)° = 15/36

cos(L)° = 0.42

Therefore, the value of the angle cos(L)° will be 0.42.

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The IH states that the sum of the angles in convex polygon C(which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A.

Using induction all convex polygons with n vertices have angles that add to (n - 2)·π, therefore let P(n) be that. We will demonstrate that P(n), where n≥3, holds for every n ∈ N. We demonstrate P(3), which states that any convex polygon with three vertices has an angle total of 180 degrees. Any triangle formed by such a polygon has angles that add up to 180°.

Assume that P(n) holds for some n ≥ 3 and that all convex polygons with n vertices have angles that add to (n-2) 180° for the inductive step. We demonstrate P(n+1), which states that each convex polygon with n+1 vertices has an angle sum of (n-1)·π. Let A represent any n+1-vertex convex polygon.

The IH states that the sum of the angles in convex polygon C (which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A. As a result, the total angle in A is (n-1) 180°. Thus, the induction is complete and P(n + 1) holds.

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The number of elements in the set is 5, which is a finite number, so we can conclude that the given set is finite. Hence, the correct answer is  A.

A set of numbers is called a finite set if it has a finite number of elements.

A set of numbers is called an infinite set if it has an infinite number of elements.

To identify the set as finite or infinite, we will need to count the number of elements in it.

The set given as (3, 6, 9, 12, 945) is finite, because it has a definite number of elements.

We can count the elements of the set by listing them: 3, 6, 9, 12, 945

Therefore, the number of elements in the set is 5, which is a finite number, so we can conclude that the given set is finite. Hence, the correct answer is A.

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Step-by-step explanation:

A natural number is a positive whole number.

A whole number is a positive number with no fractions or decimals.

A interger is a whole number negative or positive.

A rational number is a number that terminates or continue with repeating digits.

A irrational number is a number that doesn't terminate or continue with repeating digits.

1. Rational Number

2. Natural,Whole,Interger,Rational

3. Whole,Rational,Interger

4. Rational

5.Irrational

6.Rational

7.Natural,Whole,Interger,Rational

8.Interger,Rational

9.Irrational

Given - a+b+c = 0

To prove that-

a²/bc + b²/ac + c²/ab = 3

Now we know that

when x+y+z = 0,

then x³+y³+z³ = 3xyz

that means

(x³+y³+z³)/xyz = 3 ---- eq 1)

Lets solve for LHS

LHS = a²/bc + b²/ac + c²/ab

we can write it as LHS = a³/abc + b³/abc + c³/abc

by multiplying missing denominators,

now take common abc from denominator and you'll get,

LHS = (a³+b³+c³)/abc --- eq (2)

Comparing one and two we can say that

(a³+b³+c³)/abc = 3

Hence proved,

a²/bc + b²/ac + c²/ab = 3

in me girl 7735293+3;$7373-$-$-37372+2

Work Shown:

E = exterior angle = 60 degrees

n = number of sides of the regular polygon

n = 360/E

n = 360/60

n = 6

The regular polygon has 6 sides.

The length of the mowing path with the mower is 20√5 yards, based on the Pythagorean theorem. The path is the diagonal of the rectangular pasture.

To find the length of the diagonal pass the gardener mows, we can use the Pythagorean theorem, which states that for a right triangle, the square of the length of the diagonal (hypotenuse) is equal to the sum of the squares of the lengths of the sides.

In this case, the two sides of the rectangle are 20 yards and 40 yards.

So, the length of the diagonal can be found as follows

diagonal^2 = 20^2 + 40^2

diagonal^2 = 400 + 1600

diagonal^2 = 2000

diagonal = sqrt(2000)

Simplifying the radical, we get:

diagonal = sqrt(4500)

diagonal = 20sqrt(5)

Therefore, the length of the diagonal pass with the mower is 20*sqrt(5) yards, in simplified form.

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The equation that shows the relationship is w = 38m.

If Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:

w = km

where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.

We are given that k = 38, so we can substitute this value into the formula to get:

w = 38m

Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.

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Answer:

decreasing trend

Answer:

The answer is D. x + 3

Step-by-step explanation:

The factors of 5x2 + 14x - 3 are:

(5x-1) and (x+3)

Answer:

4

Step-by-step explanation:

It looks like the graph is passing through (5,20)

so on y, from 0 to 20 is 20

on x, from 0 to 5 is 5

so slope = rise/run = 20/5 = 4

Answer:

d

Step-by-step explanation:

just took test

The one that is a step used in the construction of an equilateral triangle inscribed in a circle  is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

The steps to construct an equilateral triangle inscribed in a circle are:

1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.

2. Draw a perfect circle centered at point O using a compass.

3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".

5) Draw a second circle. The center of this circle is point W and the radius extends to point O.

6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".

7) Connect the points X, Y and Z with a ruler or straightedge. 

Looking at the options, the only correct step is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

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Answer:B

Step-by-step explanation:

Option B is correct,  the inequality y≥-2x-2 is represented in the second graph or graph B.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given inequality is y≥-2x-2

y greater than or equal to minus two times of x minus two.

y≥-2x-2

The line passes through the points (-2, 2) and (0, -2).

As there is given greater than or equal to the line should be solid not dotted.

Greater than or equal to means we have to shade away from the origin.

The second graph satisfy all these properties.

y≥-2x-2 is represented in the second graph.

Hence, the inequality y≥-2x-2 is represented in the second graph.

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The problem with solving 1110 - 1110 using 2's complement in 7-bit data representation is that it results in an overflow, and to overcome this, either increase the number of bits or use a larger data type for representation.

We are subtracting 1110 from 1110 using 2's complement and using 7-bit data representation. Let's go through the steps:

Step 1: Convert 1110 to its 2's complement representation in 7 bits:

  - In 7 bits, the leftmost bit is the sign bit.

  - Since the leftmost bit of 1110 is 1 (indicating a negative number), we can simply represent it as it is: 1110.

Step 2: Perform the subtraction using 2's complement:

  1  1  1  0

- 1  1  1  0

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

  0 0 0 0

The result of the subtraction is 0000. However, this result is problematic because it is not within the range that can be represented with 7 bits using 2's complement.

To overcome this problem and prevent overflow, we can take the following steps:

1. Increase the number of bits: Increase the number of bits used for representing the numbers. Using more bits allows for a larger range of representable numbers and reduces the chance of overflow. If possible, use more bits for data representation.

2. Use a larger data type: If using a fixed number of bits is a requirement, consider using a larger data type, such as a larger integer type, that can accommodate the expected range of values without overflow.

3. Check for overflow conditions: Before performing arithmetic operations, check for potential overflow conditions. For example, when subtracting two negative numbers or adding two positive numbers, the result should have a different sign. If the signs of the operands are the same and the result has the opposite sign, it indicates overflow.

4. Handle overflow cases: If overflow occurs, take appropriate actions based on the specific requirements of your application. This could involve truncating or discarding the most significant bits of the result or applying additional logic to handle the overflow condition appropriately.

By considering these suggestions and adjusting the number of bits or data type used for data representation, you can overcome the problem of overflow when performing arithmetic operations using 2's complement.

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Answer:

Step-by-step explanation:

In this problem, we will determine the volume of the small cubes

and also we will determine the volume of the cube

given that

Each cube has sides of 2 inches.

the volume of the cube is =2^3= 2*2*2= 8inch^3

also,

The large box has sides of 10 inches.

the volume of the box is= 10^3=0*10*10= 1000inch^3

Find out how many cubes will fit in the box

1000/8=125cubes

There are 125 cubes in a box

Answer:

D=4

Step-by-step explanation:

Answer:

d=4

Step-by-step explanation:

5d - 3 +2d = 4d +9

7d-3=4d+9

-4d    -4d

3d-3=9

     +3   +3

3d=12

divide both sides by 3

d=4

There are 3,360,276 99-bit strings that contain more ones than zeros.

Consider two cases: strings with exactly 50 ones and strings with exactly 51 ones to determine the number of 99-bit strings that contain more ones than zeros.

Using the formula for combinations, we can calculate the number of 99-bit strings with exactly 50 ones as C(99, 50). This represents choosing 50 positions out of the 99 positions to place the ones.

Calculate the number of 99-bit strings with exactly 51 ones as C(99, 51), which represents choosing 51 positions out of the 99 positions for the ones.

Sum the two cases to find the total number of strings that contain more ones than zeros:

C(99, 50) + C(99, 51) = 99! / (50! × 49!) + 99! / (51! × 48!) = 3,360,276.

Therefore, there are 3,360,276 99-bit strings.

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Answer:

Olivia's puppy is linear i know this because after applying to the graph i got a straight line.

Step-by-step explanation:

Answer:

When looking at the table you can see that for every increase of 1 in the x value it results in an increase of 1 in the y value. The rate of change is constant.

Rate of change is calculated by the change in y/change in x

For the points (1,2), (3,3) and (5,4) the rate of change calculation would be as follows:

(1, 2)(3, 3)

3-2 / 3-1= 1/2

(3, 3)(5, 4)

4-3 / 5-3= 1/2

Since both equal 1/2 the rate of change is constant therefore making it linear.

Step-by-step explanation:

Yes, 74 is an outlier in the dataset

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

52, 55, 50, 49, 47, 53, 74

In statistics, an outlier is a value that is far removed from other values in a dataset.

It is an observation that lies an abnormal distance from other values in a random sample from a population.

Using the above as a guide, we have the following:

72 is relatively far from other data elements

Hence, it is an outlier

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Answer:

yes there is

Step-by-step explanation:

The required distance of Cori from where he started is 35km.

Distance is a quantitative or qualitative measurement of the distance between two objects or places. Distance can refer to a physical length or an estimation based on other criteria in physics or everyday usage. Because spatial cognition is a rich source of conceptual metaphors in human thought, the term is also used metaphorically to mean a measurement of the amount of difference between two similar objects or a degree of separation. The concept of a metric space is used to codify most such conceptions of distance, both physical and metaphorical.

Given,

Cori races her friend heading south for 9 kilometers, east for 20 kilometers, then south for 6 more kilometers.

The distance of Cori from starting point=9+20+6

=15+20

=35

Hence, the required distance of Cori from where he started is 35km.

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The mean of the total withdrawals in 8 hours is $2400 and the standard deviation is approximately $178.89.

To find the mean of the total withdrawals in 8 hours, we first need to find the mean of withdrawals per hour. Since the rate of customers arriving at the ATM is 10 per hour, we can assume that there are also 10 withdrawals per hour. Therefore, the mean of withdrawals per hour is 10 x $30 = $300.

To find the mean of total withdrawals in 8 hours, we can multiply the mean of withdrawals per hour by the number of hours: $300 x 8 = $2400.

To find the standard deviation of total withdrawals in 8 hours, we need to use the formula: standard deviation = square root of (variance x n), where variance is the square of standard deviation and n is the number of observations.

The variance of withdrawals per hour can be calculated as follows:

Variance = (standard deviation)^2 = $20^2 = $400

Therefore, the variance of total withdrawals in 8 hours is:

Variance = $400 x 8 = $3200

And the standard deviation of total withdrawals in 8 hours is:

Standard deviation = square root of ($3200 x 1) = $56.57

So, the mean of total withdrawals in 8 hours is $2400 and the standard deviation is $56.57.
Hello! I'd be happy to help you with this question. To find the mean and standard deviation of the total withdrawals in 8 hours, we'll first determine the expected number of customers and then use the given information about the mean and standard deviation of the withdrawals.

1. Determine the expected number of customers in 8 hours: Since customers arrive at a rate of 10 per hour, in 8 hours we can expect 10 * 8 = 80 customers.

2. Calculate the mean of total withdrawals: Multiply the mean withdrawal per transaction by the expected number of customers. The mean withdrawal is $30, so the mean of total withdrawals in 8 hours is 80 * $30 = $2400.

3. Calculate the variance of total withdrawals: Since the withdrawals are independent, we can multiply the variance of individual withdrawals by the expected number of customers. The variance is the square of the standard deviation, which is $20^2 = $400. The variance of total withdrawals in 8 hours is 80 * $400 = $32,000.

4. Calculate the standard deviation of total withdrawals: Take the square root of the variance. The standard deviation is √$32,000 ≈ $178.89.

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Answer:

$117.60

Step-by-step explanation:

Do this:

$864              1              $864

_____    x   ____   =    ______

   1                  5                 5

Then divide $864 by 5

Then take $172.80 - $55.20

That will give you your answer.

Answer:

$636

Step-by-step explanation:

864/5=172.80 so he paid 172.80 dollars for the phone bill. He then has 691.20 dollars left. he then gives his mother $55.20 and is left with $636.

Answer:

r=8.74038744 m
and surface area=1303.76211 m2

Step-by-step explanation:

Answer:

D

i thank

Step-by-step explanation: