According to a recent study, the mean number of hours college students spent studying per month was 75 hours with a population standard deviation of 25 hours. Two weeks before final exams were scheduled to begin, 100 college students were randomly selected. Use a calculator to find the probability that the mean number of hours spent studying is less than 70 hours. Round your answer to three decimal places if necessary. Provide you answer below:

Answer:

The absolute value of +98 is simply 98. So, | +98| = 98.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.

Answer:

We have to find the missing side KS, using the fact that the small and the larger triangles are similar, which means that the ratio of their corresponding sides is the same:

To calculate the answer we have to find the RK which is as follows:

Plugging all the known information in (1) gives the final equation as follows:

Solving equation (2) gives the final answer, the steps for the solution are as follows:

The final answer is Option(D) or 12.

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

no answer b/c the terms are unlike term

Answer:

D. ( 1,4)

Step-by-step explanation:

Answer:

15a + 35

Step-by-step explanation:

5(3a + 7) ← multiply each term in the parenthesis by 5

= 15a + 35

Answer:

6:4:9

Step-by-step explanation:

Answer:

6:4:9 Yw

Step-by-step explanation:

Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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After solving the equation the value of x is x = 17

What do you mean by co interior angle?

Co interior angles are interior angles that add up to 180 degrees. This means that the sum of the two interior angles on the same side of the horizontal side are complementary. The interior angles of Co are similar to the shape of a 'C' and both angles are unequal.

Common interior angles are also called continuous interior angles or equilateral interior angles.

In the given figure, line a is parallel to line b. Therefore, these two angles are co interior angle and sum of co interior angle is 180 degree

2x + 5 + 8x + 5 = 180 degree

10x + 10 = 180 degree

10x = 180 - 10

10x = 170

x = 170/10 = 17

Therefore, x = 17

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Answer:

Step-by-step explanation:

It's geometric. The nth term differs by -5 when compared to the n+1 term.

Sum 0 to n a(-5)^n-1 where a = 2

I think this is what you want, but there is also a formula. See below.

Sum = a (r^n - 1)/(r - 1)

Answer:

the answer would be positive 3 over 2

Step-by-step explanation:

Independent Variable: 30 pieces of gum

Dependent Variable: 2 pieces of gum

We predict that independent variables will affect dependent variables. What transpires as a result of the independent variable is known as a dependent variable.

The variable you change or manipulate in an experimental study to examine its effects is known as an independent variable. Because it is unaffected by any other study variables, it is referred to as being "independent."

The variable that alters as a result of the modification of the independent variable is known as a dependent variable. The result that interests you is what you're measuring, and it "depends" on your independent variable.

He has 30 pieces of gum which is the independent, 2 would be the dependent.

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A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

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Answer:

i think the answer is -13

Step-by-step explanation:

b-6= -7-6

=-13

your correct answer is 13

I am sure it's correct... just go for it

Answer:

1111111110

Step-by-step explanation:

45 is 9, and 5.

9 divisibility rule: Digits have to add up to 9.

We know this has to be 1's and 0's.

So there has to be 9 1's.

111111111.

5 divisibility rule: Last digit has to be 0 or 5.

1111111110 will be our final answer.

Wait- let's check if it's divisible. Using a calculator, this determines it does work.

Enjoy.

Answer:

The tank starts with 32300 gallons and is decreasing by -16.15 gallons per minute

Answer:

  \(\dfrac{-5x^2+34x-32}{x^2-10x+24}\)

Step-by-step explanation:

Write each fraction using a common denominator, then combine numerators and collect terms. "Simplify" usually means "eliminate parentheses."

  \(\dfrac{8}{x-4}-\dfrac{4}{x-6}-\dfrac{5x}{x-4}=\dfrac{8(x-6)}{(x-4)(x-6)}-\dfrac{4(x-4)}{(x-4)(x-6)}-\dfrac{5x(x-6)}{(x-4)(x-6}\\\\=\dfrac{8(x-6)-4(x-4)-5x(x-6)}{(x-4)(x-6)}=\dfrac{8x-48-4x+16-5x^2+30x}{(x-4)(x-6)}\\\\=\boxed{\dfrac{-5x^2+34x-32}{x^2-10x+24}}\)

Answer:

x ≥ 3

Step-by-step explanation:

- 3(2x - 1) ≤ x - 18 ← distribute parenthesis on left side

- 6x + 3 ≤ x - 18 ( subtract x from both sides )

- 7x + 3 ≤ - 18 ( subtract 3 from both sides )

- 7x ≤ - 21

divide both sides by - 7, reversing the symbol as a result of dividing by a negative quantity.

x ≥ 3

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Answer:

32

Step-by-step explanation:

Answer:

\((5,-8)\)

Step-by-step explanation:

The rule for a reflection over the y-axis is

\((x,y) -> (-x,y)\)

In this situation, we have to change the sign of x.

\((-5,-8) -> (5,-8)\)

Answer:

Like the ellipse, the hyperbola can also be defined as a set of points in the coordinate plane. A hyperbola is the set of all points

(

x

,

y

)

in a plane such that the difference of the distances between

(

x

,

y

)

and the foci is a positive constant.

Notice that the definition of a hyperbola is very similar to that of an ellipse. The distinction is that the hyperbola is defined in terms of the difference of two distances, whereas the ellipse is defined in terms of the sum of two distances.

Answer:

10

Step-by-step explanation:

it is one of the properties and derived "abilities" of a hyperbola that the distance of a point on one branch to the focal point of the other branch is the sum of the minimum distance of both branches (in our case 4) and the distance to its "own" focal point (in our case 6).

so, the length of the dotted line is

4 + 6 = 10

to extend and clarify the information from the other answer :

there are 3 different curves when slicing a double-cone (2 cones standing straight on top of each other with their tips touching - in other words, each cone is the mirrored upside-down version of the other).

1. ellipse

a plane is slicing through one of the cones, so that it never touches the other cone.

the ellipse is the outline of that cut around the cone.

a circle is an extreme case, where the plane cuts perpendicular to the central axis of the cone.

2. parabola

an infinite ellipse (another extreme case of ellipse). the slicing plane is parallel to the outline of the cone(s).

but still, only one of the 2 cones is touched.

3. hyperbola

the slicing plane is so inclined that it cuts through both cones. the 2 branches of a hyperbola are the outlines of the cuts through both cones.

usually shown as example is the extreme case, where the slicing plane is parallel to the central axis of the double-cone.

all 3 forms are therefore related.

a. Jina's monthly payment is $\(1,944.87\)  . b.Jina will repay a total amount of $\(23,338.44\). c. Over the course of the loan, Jina will pay interest totalling $\(1,338,44\).

(a) applying the formula for the monthly payment on an amortized loan, we may calculate Jina's monthly payment.

\(P = (r \times A) / (1 - (1 + r)^(-n))\)

where P denotes the monthly instalment, A denotes the loan balance, r denotes the monthly interest rate (calculated by dividing the annual interest rate by 12), and n is the total number of payments.

Plugging in the values we have:

\(A = $22,000\)

\(r = 0.0785/12 = 0.006542\)

\(n = 1 year \times 12 months/year = 12 months\)

\(P = (0.006542 \times $22,000) / (1 - (1 + 0.006542)^(-12)) = $1,944.87\)

So, Jina's monthly payment is $ \(1,944.87\).

b. Jina will pay $ \(1,944.87\) each in 12 equal monthly instalments. Thus, her entire loan repayment amount.

\(12 \times $1,944.87 = $23,338.44\)

Therefore, Jina will repay a total amount of $  \(23,338.44.\)

(c) The sum of the loan repayments minus the loan amount is the total amount of interest that Jina will pay during the course of the loan.

Total interest = Total amount to repay - Loan amount

Total interest = $\(23,338.44 - $22,000 = $1,338.44\)

Therefore, a. Jina's monthly payment is $1,944.87. b.Jina will repay a total amount of $\(23,338.44\). c. Over the course of the loan, Jina will pay interest totaling $ \(1,338,44\).

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Answer:

11.2777778 feet (11 feet 321⁄64 inches)

Step-by-step explanation:

Answer:

11 27/100

Step-by-step explanation:

L (length) times W (width) = A (area)

Answer:

Step-by-step explanation:for the triangle GIF, angle g = 80

angle f = 42 since angle FBA = 138

so angle i = 180 - 42 - 80

                 = 58