Tamika is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if she rolls a fair die in
the shape of a cube that has six sides labeled 1 to 6 and rolls a fair die in the shape of
a pyramid that has four sides labeled 1 to 4?

Answer:

y = (-1/6)x represents a proportional relationship.

The area of the mirror is 480 square inches

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

A mirror that has the shape of a parallelogram (see attachment)

From the attachment, we have the following dimensions

Base length = 5 units

Height = 6 units

The area is the product of the dimensions

Since the side length of each square tile is 4 in, then we have

Area = 4 * 4 * 5 * 6

Evaluate

Area = 480

Hence, the area is 480 square inches

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Answer:

Step-by-step explanation:

you just give 2 a common factor

2(-5x+1)

Answer:

1) 9

2) 27

3) Read explanation below!

Step-by-step explanation:

1) Use the Pythagorean theorem to find AD. Show your working

To find '?' we first have to expand the indices...

Now work out '?'

2) Find AC. Show your working

We have found out that AD is 9 and to find AC we have to add 18!

3) Is ΔABC a right triangle? Explain

We can that ΔABC is not a right angle as none of the angles in the triangle are 90°!  If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!

Have a lovely day :)

In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.

An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)

A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).

If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.

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Complete question -

Seven times a number in algebraic expression

Answer:

The 90%  confidence level is  \(19.15< L < 20.85\)

Step-by-step explanation:

From the question we are told that

     The sample size is  \(n = 64\)

     The mean age is  \(\= x = 20 \ years\)

      The standard deviation  is   \(\sigma = 4 \ years\)

Generally  the degree of freedom for this data set is mathematically represented as

        \(df = n - 1\)

substituting values

        \(df = 64 - 1\)

        \(df = 63\)

Given that the level of confidence is  90%  the significance level is mathematically evaluated as

          \(\alpha = 100 - 90\)

         \(\alpha =\)10 %  

         \(\alpha = 0.10\)

Now   \(\frac{\alpha }{2} = \frac{0.10}{2} = 0.05\)

Since we are considering a on tail experiment

The  critical value for half of  this significance level at the calculated  degree of freedom is obtained from the critical value table as

           \(t_{df, \frac{ \alpha}{2} } = t_{63, 0.05 } = 1.669\)

   The margin for error is mathematically represented as

          \(MOE = t_{df , \frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }\)

substituting values  

          \(MOE = 1.699 * \frac{4 }{\sqrt{64} }\)

         \(MOE = 0.85\)

he 90% confidence interval for the true average age of all students in the university is evaluated as follows

           \(\= x - MOE < L < \= x + E\)

substituting values  

         \(20 - 0. 85 < L < 20 + 0.85\)

         \(19.15< L < 20.85\)

Answer:

9000

Step-by-step explanation:

Best Mortgage Option 3 because this mortgage option offers a lower interest rate.

After reviewing all three mortgage options available to Demarco and Tanya, I would recommend that they choose option 3. This option offers a lower interest rate compared to the other two options and a longer loan term, which means that their monthly payments will be lower and more manageable for their budget. Additionally, option 3 offers a fixed interest rate, which provides them with more stability and predictability in their mortgage payments, as opposed to options 1 and 2 that offer adjustable interest rates.

Option 1 has the highest interest rate and the shortest loan term, making their monthly payments the highest of all three options. Option 2 offers a slightly lower interest rate, but it still higher compared to option 3, and has a shorter loan term compared to option 3, making their monthly payments still relatively high.

In conclusion, the best financial choice for Demarco and Tanya would be option 3. Its lower interest rate, longer loan term, and fixed interest rate make it the most affordable and stable option for them in the long run.

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Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.

We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.

The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.

We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus.  Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.

Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.

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Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

We have to write and solve the expression: "The quotient of 6 and 2, times 3, plus the difference of 18 and 5".

The quotient of 6 and 2 is 6/2. If we mulitply it by 3, we get:

We have to add to it the difference of 18 and 5, that is (18-5):

Answer: 22

Answer:

1191 cm²

Step-by-step explanation:

Area of parallelogram = base X vertical height.

Call the vertical line h.

h/ sin 80  =  7/ sin 10

h = (7 sin 80) / sin 10

= 39.7.

Area of parallelogram = 30 X 39.7

= 1191 cm²

The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.

Given:

Side length = 30 cm

Using Trigonometry

tan 80 = P / Base

5.6712 = P / 7

P = 39.6984 cm

Using the formula for Area of parallelogram

= Base x height

= 30 x 39.6984

= 1,190.952 square cm.

Therefore, the area is 1,190.952 square cm.

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Answer:

It is A, since the lines is always touching

Step-by-step explanation:

Line always touch or if the graph just has 1 line= Infinite solution

If the lines never touch or Parallel lines= No solution

If the lines touch each other once= 1 solution

The sinusoidal function is y = 2sin(2x) - 1

The general form of a sinusoidal function is given by:

y = A sin(Bx + C) + D

where:

We know that the period is π and the amplitude is 2.

So, we have

A = 2

B = (2π)/(π) = 2

So, we have

y = 2sin(2x + C) + D

The point (-11π/4, 1) implies that, the function is shifted down by 1 unit

So, we have

y = 2sin(2x) - 1

Hence, the function is y = 2sin(2x) - 1

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The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

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This triangle is congruent under the ASA congruence postulate as the two corresponding parts of this triangle which are angles are equal and there is one equal side . The equal side is the common side of both these triangles .

Step-by-step explanation:

Sample proportion \(\hat{p} = 260/380 = 0.684\)

90% confidence interval for p is

\(\hat{p} - Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n) < p < \hat{p} + Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n)\)

\(0.684 - 1.645\times \sqrt ( 1 -0.684) / 380) < P < 0.684 + 1.645\times \sqrt ( 1 -0.684) / 380)\)

0.645 < p < 0.723

Interpretation - We estimate with 90% confidence that the true population proportion of people who plan  on voting yes on the levy between 0.645 and 0.723.

The surface area of this 3d character based off the illustration will be 289.

It should be noted that the surface area simply means the amount of space that covers the outside of a shape.

Here the length of the shape is 17 and the width is also 17 as well. It should be noted that the width and length are determined by looking at the axis of the shapes drawn.

In this case, the area will be:

Length × Width

= 17 × 17

= 289

In conclusion, the surface area is 289.

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Answer: -2=y

Step-by-step explanation:

Answer:

2-y

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Answer:

1/10 x 58 =5.8 if they want it in fraction its 4/5

Step-by-step explanation:

The answer would be 5 and 4/5.

Check the picture below.

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

y = 3x - 13

Step-by-step explanation:

Answer:It would be 40•.25=10

Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off