Which is larger: 25% of 38 OR 30% of 41

Answer:

3

Step-by-step explanation:

The answer is three because u need to simply the fractions

Hiroshi is correct; after you draw

the line from the first point to the other three, one of

the lines from the second point is already drawn.

The true statements are, The probability of drawing a 2 is 0 and  The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here the given , Total number of outcomes = N {3,4,4,5,5,6,6,6} = 8

Now probability = No of Favorable outcome/ Total outcome.

Here Option A , Number of 2 = 0.

Then probability of getting 2 = 0/8 = 0.

Option B, Number of 7 = 0

Then probability of getting 7 =0/8 = 0

Option C , Number of 5's = 2

probability of getting 5 = 2/8 = 1/4

Number of less than 5 = 3

Probability of getting less than 5 = 3/8

Here 1/4 > 3/8 . Then The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

Option D, Here least number in given is 3 not 5.

Hence the true statements are, The probability of drawing a 2 is 0 and The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

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Answer:

Step-by-step explanation:

The value of x, y, and z in the parallelogram are, - 40, - 60 and 1 respectively.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

The opposing or confronting sides are of equal length and the sum of the adjacent angles is of equal measure.

From the given diagram,

(- 3x - 3)° + 63° = 180°.

- 3x - 3° + 63° = 180°.

x = - 40.

Similarly,

(- 3x - 3)° + (- y + 3°) = 180°.

-3(-40) - 3° - y + 3° = 180°.

y = - 60.

And,

(- y + 3°) + (z - 4°) = 180°.

180° + 3° + z - 4° = 180°.

z = 1.

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Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

Answer:

The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)

You can use direct proportion to solve this:

If $1 is to Y99.30487 then what will $100 be equal to:

1         :          99.30487 Yen

100    :                x

Cross multiply to get:

1x = 99.30487 Yen x 100

x = (99.30487 Yen x 100) / 1

Which can be written as:

= 100 ( 99.30487 Yen / 1)

In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)

Step-by-step explanation:

Answer:

Answer: It´s correlated. Step-by-step explanation: The graph shows that the height of the tree increases as time passes, meaning that the more time that a three has been planted the more height it has, so there´s a direct correlation between the time passing and the height of the tree.

Answer:

it is 2^21

Step-by-step explanation:

Answer:

2^21

Step-by-step explanation:

add 3 and 18 together

dont change 2

Answer:

y = 0.45 × x

y = 0.45 × 12

y = 5.4

Step-by-step explanation:

The chair costs $5 and 40 cents

The distance travelled by the particle is 15

\(v(t) = \frac{t ds}{dt} = 2t - 2\)

\(ds = v(t) dt\)

\(\implies ds(t) = (2t-2)dt\)

\(\implies s = \int\limit_0^5 (2t-2) \, dt\)

\(s = \left(t^2 - 2t \right)_2^5 = 25 - 10 - 4 + 4\)

\(\therefore s = 15\)

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\(x = \pm \sqrt{6}\)

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

f(2) = 2*(2+1)/2 = 3

f(3) = 3*(3+1)/2 = 6

and so on.

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.

We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.

Marian earns $4,100.00 per month

Suppose Marian wants  to save for  x months,  then the maximum amount that she can spend on the house is:

4100  *   x    +  21390

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Hope this helps!

After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.

A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.

To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.

The formula for calculating the surface area of each triangular face is:

(1/2) x width x height

27.31 square feet = (1/2) x 7 feet x 7.79 feet

24 square feet = (1/2) x 6 feet x 8 feet

Simply multiply the length and width to find the area of the rectangular base:

7 feet by 6 feet equals 42 square feet

As a result, the total surface area of the pyramid is:

145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet

As a result, 145.62 square feet of glass are required to cover the entire pyramid.

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Answer: 102.53

Step-by-step explanation:  I calculated all the numbers you gave me and then added them to get 102.53

Jenny will need to invest approximately $15,112.18 in order to reach her retirement goal of $60,000 with a 9% return on her investment.

To calculate how much money Jenny will need to invest in order to reach her retirement goal, we can use the concept of compound interest.

Given:

Current age: 49 years

Retirement age: 65 years

Additional funds needed for retirement: $60,000

Expected return on investment: 9% (expressed as a decimal: 0.09)

The compound interest formula for determining an investment's future worth is as follows:

FV = PV * (1 + r)ⁿ

Where:

FV = Future Value (the desired amount at retirement)

PV = Present Value (the initial investment)

r = Interest rate per period

n = Number of periods

In this case, Jenny has 16 years until retirement (65 - 49 = 16), and she wants to accumulate an additional $60,000.

Let's plug the values into the formula:

$60,000 = PV * (1 + 0.09)¹⁶

Now, we can solve for PV:

PV = $60,000 / (1 + 0.09)¹⁶

we find:

PV ≈ $15,112. 18

Therefore, Jenny will need to invest approximately $15,112.18 in order to reach her retirement goal of $60,000 with a 9% return on her investment.

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Answer:42

Step-by-step explanation:

A linear regression is represented as: \(^\wedge y = a + bx\) Where: \(b \to slope\).

(a) Interpret the slope

The linear model is given as:

\(^\wedge y = 24356.15 - 0.0534x\)

Recall that:

\(b \to slope\)

By comparison:

\(b = -0.0534\)

From the question, we understand that:

\(x \to mileage\)

\(y \to price\)

So, the interpretation of the slope is:

For every 1 mile increase in car mileage, there is a $0.0534 decrease in the car price

(b) The correlation coefficient (r)

We have:

\(r^2 = 84.3\%\)

Take square roots of both sides

\(r = \sqrt{84.3\%\)

\(r = 0.9182\)

Hence, the correlation coefficient is \(0.9182\)

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A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

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Nate has a deductible of $1,000, which means he is responsible for paying that amount out of pocket before his insurance coverage kicks in. The cost of repairing his car is $7,000, which exceeds his deductible.

However, Nate's collision coverage limit is $5,000, which is the maximum amount his insurance will cover for repairs.

Since the cost of repairs exceeds Nate's coverage limit, he will have to pay the difference between the coverage limit and the actual repair cost.

In this case, Nate's out-of-pocket expenses would be $7,000 (repair cost) - $5,000 (coverage limit) = $2,000.

Therefore, Nate will have to pay a total of $2,000 out of pocket for this claim, which includes his $1,000 deductible and the additional $1,000 that exceeds his coverage limit.

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Answer:

multiply 12x65, then multiply that by 1,000 to get 780,000

Step-by-step explanation:

That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 13 = 8 x + 37

Subtract 8 x + 37 from both sides:

x^2 - 8 x - 24 = 0

Add 24 to both sides:

x^2 - 8 x = 24

Add 16 to both sides:

x^2 - 8 x + 16 = 40

Write the left hand side as a square:

(x - 4)^2 = 40

Take the square root of both sides:

x - 4 = 2 sqrt(10) or x - 4 = -2 sqrt(10)

Add 4 to both sides:

x = 4 + 2 sqrt(10) or x - 4 = -2 sqrt(10)

Add 4 to both sides:

Answer:  x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)

2(3 - i)(-2 + 4i)

Multiplying the fist two members: (6 - 2i)(-2 + 4i)

Multiplying both binomials: -12 + 24i + 4i - 8i^2

-12 + 28i - 8i^2 = -8i^2 + 28i - 12

the multiplication is: -8i^2 + 28i - 12

Answer: -4+28i

Step-by-step explanation:

Correct on Edge

Power and chain rule (where the power rule kicks in because \(\sqrt x=x^{1/2}\)):

\(\left(\sqrt{\dfrac{\cos(2x)}{1+\sin(2x)}}\right)'=\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'\)

Simplify the leading term as

\(\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\)

Quotient rule:

\(\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'=\dfrac{(1+\sin(2x))(\cos(2x))'-\cos(2x)(1+\sin(2x))'}{(1+\sin(2x))^2}\)

Chain rule:

\((\cos(2x))'=-\sin(2x)(2x)'=-2\sin(2x)\)

\((1+\sin(2x))'=\cos(2x)(2x)'=2\cos(2x)\)

Put everything together and simplify:

\(\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{(1+\sin(2x))(-2\sin(2x))-\cos(2x)(2\cos(2x))}{(1+\sin(2x))^2}\)

\(=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2\sin^2(2x)-2\cos^2(2x)}{(1+\sin(2x))^2}\)

\(=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2}{(1+\sin(2x))^2}\)

\(=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac{\sin(2x)+1}{(1+\sin(2x))^2}\)

\(=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}\)

\(=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}\)

\(=\boxed{-\dfrac1{\sqrt{\cos(2x)(1+\sin(2x))}}}\)

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Answer:

Dude Where's the Diagram?