1. Matt used a cup shaped like a cylinder to drink his morning milk. The dimensions of
the container are shown below.
width- 8 cm
height-12cm
Which measurement is closest to the area of the base of the container in square
centimeters?

Answer:

I’m pretty sure he withdrew $271.48

Step-by-step explanation:

Multiply the numerator by numberator and denominator by denominator.

a/b multiplied by c/d is ac / bd.

Answer:

Multiply the top numbers

Multiply the bottom numbers

Simplify if needed

Example:

4/5×6/8= 24/40=3/5

The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.

Let the actual width of the picnic area be x yards.

According to the given question.

Laura measured a picnic area near the river and made a scale drawing.

The scale she used was 3 inches : 2 yards.

⇒ The scale is 3 inches : 2 yards

The width of the picnic area in the drawing is 90 inches.

As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.

Thereofore, the acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards is given by

3inches : 2 yards = 90inches : x

⇒ 3x = 180

⇒ x = 60yards

The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.

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He equation that rightly shows the Commutative Property of addition is

10 x3/10 = 3/10 x 10

The Commutative Property of Multiplication states that changing the order of the factors doesn't change the product. In other words, when you multiply two figures, it doesn't count which number comes first. The equation 10 x3/10 = 3/10 x 10 is an illustration of this property, as both sides of the equation represent the same value, indeed though the order of the factors is different.

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Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Part a

This represents a translation of 2 units to the right. So, the points are \((6, -3), (0,0), (8, -15)\).

Part b

This represents a translation of 9 units up. So, the points are \((4,6), (-2,9), (-10,-6)\).

Part c

This represents a translation of 3 units left and 1 unit down. So, the points are \((1, -4), (-5, -1), (-13, -16)\).

Answer:

it would be 1/3

Step-by-step explanation:

Answer: 1/3 chance

Step-by-step explanation:

In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3

The given equation, y = -1.7x + 8.5, is not in standard form with integer coefficients. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive.

To convert the given equation to standard form, we need to eliminate the decimal coefficient. We can do this by multiplying both sides of the equation by 10 to clear the decimal: 10y = -17x + 85 Next, we want the coefficient of x to be positive, so we can multiply both sides of the equation by -1: -10y = 17x - 85

Now, we can rearrange the terms to match the standard form: 17x - 10y = 85 So, the equation of the given line in standard form with integer coefficients is 17x - 10y = 85. To convert the given equation to standard form, we need to eliminate the decimal coefficient.

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According to the solving Probability the value are as follows;

a) P(Blue)= 0/10

b) P(Red)= 5/10

c) P(Red or Yellow)= 9/10

Since, We know that;

The definition of probability is "How likely something is to happen."

Probability is indeed a number ranging from 0 to 1 that expresses the likelihood that an event will take place as specified.

First, 0 < P(E) < 1

where, P(E) specifies the probability of an event E) and second, the sum of the probabilities of any collection of mutually and exclusive exhaustive occurrences equals 1 are the two characteristics that define a probability.

According to the given data:

We have a Bag of marbles has 4 yellow, 5 red, and 1 purple.

Total balls in a bag= 4+5+1=10 balls.

Something that is IMPOSSIBLE to happen.

P(Blue)= 0/10

Something that is EQUALLY LIKELY to happen.

P(Red)= 5/10

Something that is LIKELY to happen.

P(Red or Yellow)= 9/10

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Answer:

√1780, or around 42.19005

Step-by-step explanation: pythagorean theorem: a^2+b^2=c^2

Binomial Distribution:

Label "Binomial" is typed in cell C16 and "Distribution" in cell D16.

The values of n, p, and x are taken from cells F16, H16, and the desired cell, respectively.

The following probabilities are calculated:

o P(x = 21) = 0.0402

o P(x ≤ 16) = 0.0138

o P(x > 10) = 0.9983

o P(15 ≤ x ≤ 23) = 0.7063

o P(15 < x < 23) = 0.6359

Normal Distribution:

Label "Normal" is typed in cell C24 and "Distribution" in cell D24.

The values of mean and standard deviation are taken from cells F24 and H24, respectively.

The following probabilities are calculated:

o P(x < 80) = 0.8413

o P(x > 65) = 0.9332

o P(55 < x < 85) = 0.8664

o The values of x1 and x2 are calculated using the norm.inv function, with a probability of 0.05 in cell H29. The value of x1 is found to be 58.9293 and x2 is found to be 89.0707.

In part 2, the binomial distribution is used to find the probabilities of a local college basketball team winning certain number of games in a 30-game season. The probability of winning a single game is given, and the number of games won is treated as a discrete variable. The binom.dist function is used to calculate the probabilities.

In part 3, the normal distribution is used to find probabilities of scores on a national statistics exam. The mean and standard deviation of the exam scores are given, and the scores are treated as a continuous variable. The normal dist function is used to calculate probabilities of a score being below or above a certain value, or within a certain range. The norm.inv function is used to find the corresponding value of the score given a certain probability.

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Answer:

You have to multiply all the sides by 4.

B to C = 2.8*4

2.8 * 4 = 11.2

B to A = 3*4

3*4 = 12

A to C = 2.2*4

2.2*4 = 8.8

Hope this helped!

14/8

Step-by-step explanation:

Answer:

13/4 is greater

Step-by-step explanation:

   14/8       or         13/4

= 14*1/8*1             = 13*2/4*2

= 14/8                  =26/8

14/8<26/8  which means

14/8 < 13/4

Answer: 3 and 192

Step-by-step explanation:

Answer:

1 % of 300 is 3, because 1 times 300 equals 300 divided by 100 is 3.

64 times 300 equals 19200 divided by 100 is 192.

Therefore the answer of 1 % of 300 is 64 times smaller than 64 % 300. Basically, 64 % of 300 = y and y= 64 (1 % of 300)

Answer:

3/2

Step-by-step explanation:

The number of drinks purchased and the number of tacos purchased that will yield the inequality are; 2 and 9 respectively.

We are given that;

a represents the number of drinks purchased.

y represents the number of tacos purchased

He must buy a minimum of 11 drinks and tacos altogether. Thus, the inequality that describes this is;

2a + 4y ≤ 40

a + y ≥ 11

The inequality graph that represent the given system of inequalities is as shown in the atatched file.

From the given inequality graph, we can tell that one possible solution is; (a, y) = (2, 9)

Thus, the number of drinks purchased and the number of tacos purchased that will yield the inequality are; 2 and 9 respectively.

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

.

Step-by-step explanation:

Let X be exponential with a rate of lambda and let Y = [X] + 1. Substituting it, we get

P(Y = k) = e ^ (-λ(k-1))(1 - p). Therefore, P(Y = k) = (1 - p)pk-1.

We need to show that Y is geometric with a parameter of p = 1 - e ^ (-lambda).

To solve the problem, we have to show that P(Y = k) = (1 - p)pk-1 for all k ≥ 1.P(Y = k) = P([X] + 1 = k)

We know that [X] ≤ X < [X] + 1.

Substituting Y = [X] + 1,

we get [Y - 1] ≤ X < Y - 1. ⇒ Y - 1 ≤ X < Y

It follows that

P(Y = k) = P([X] + 1 = k)

= P(Y - 1 ≤ X < Y)

= P(X ≥ k - 1, X < k)

= P(X < k) - P(X < k - 1)P(X < k)

= 1 - e ^ (-λk)P(X < k - 1)

= 1 - e ^ (-λ(k-1))

Therefore, P(Y = k) = (1 - e ^ (-λk)) - (1 - e ^ (-λ(k-1)))

= e ^ (-λ(k-1))(1 - e ^ (-λ))

We know that p = 1 - e ^ (-λ).

Substituting it, we get P(Y = k) = e ^ (-λ(k-1))(1 - p)

Therefore, P(Y = k) = (1 - p)pk-1.

Hence proved.

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The given terms (a) 2 sin x- (b) COS I (c) sin a (d) - sinx COS I sin(x-7) represents different trigonometric values.

(a) 2 sin x- (b) COS I (c) sin a (d) - sinx COS I sin(x-7)

Given the terms (a) 2 sin x- (b) COS I (c) sin a (d) - sinx COS I sin(x-7) ;

we can evaluate them one by one as follows;

(a) 2 sin x => This represents a trigonometric term which means two times the sine of x.

(b) COS I => This represents a trigonometric term which means the cosine of angle I.

(c) sin a => This represents a trigonometric term which means the sine of angle a.

(d) - sinx COS I sin(x-7) => This represents a trigonometric term which means negative the product of sine of x and cosine of angle I multiplied by sine of x minus 7.

To sum up, the given terms (a) 2 sin x- (b) COS I (c) sin a (d) - sinx COS I sin(x-7) represents different trigonometric values involving sine and cosine functions of some angles.

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The dimensions of the larger space would be roughly 300 x 350 x 461 feet multiplied by the scaling factor of 3.01. This gives dimensions of approximately 903 x 1053 x 1388 feet.

To determine the appropriate dimensions of a space that can accommodate 200,000 people, we can use the concept of similarity.

We know that the smaller event had a crowd of 22,000 people and the area was roughly a right triangle with side lengths of 300, 350, and 461 feet. We can use the ratio of the number of people to the area to find the scaling factor.

The area of the triangle is (1/2) x 300 x 350 = 52,500 square feet.
The ratio of people to area is 22,000/52,500 = 0.42 people per square foot.

To accommodate 200,000 people, we need an area of 200,000/0.42 = 476,190.5 square feet.

Assuming we maintain the same shape and proportions, we can use the area of the triangle as a guide to find the dimensions of the larger space. Let x be the scaling factor. Then:

(1/2) x (300x) x (350x) = 476,190.5
52,500x² = 476,190.5
x² = 9.05
x = 3.01

In summary, we can use the ratio of people to area to determine the appropriate dimensions of a space that can accommodate 200,000 people. By maintaining the same shape and proportions of a smaller event, we can find the scaling factor needed to determine the dimensions of the larger space.

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Answer:

u = 65.6

Step-by-step explanation:

Use the equation v = u + at and substitute the given terms.

103 = u + (5) (9.5)

Simplify the (5) (9.5) by multiplying (47.5) you then have:

103 = u + 47.5

You want to isolate the variable (the u) and to do that you need to subtract 47.5 from both sides. This leaves you with 65.5 = u

From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

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Answer:

≈11.2

Step-by-step explanation:

Have a good day :)

Correct option is C. The amount it cost for Yvonne to go to college is = $40,000 calculated by linear equation property.

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Calculation of college cost

The number of years to complete college= 5 years

Yvonne salary per year = $37,000

For 5 years her salary = 45,000

4.5 years = X

Make X the subject of formula,

X = 45,000 × 4.5/5

X = 202,500/5

X =$ 40,000

Therefore, the amount it cost for Yvonne to go to college is = $40,000.

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The statement is true because for any function with a removable discontinuity, the value at the point is always equal to the limit from both sides.

Therefore, if \( f \) has a removable discontinuity at \

( x=5 \) and \( \lim _{x \ rightar row 5^{-}} f(x)=2 \),

then \( f(5)=2\ 2It is given that \( f \) has a removable discontinuity at

\( x=5 \) and \

( \lim _{x \rightarrow 5^{-}} f(x)=2 \).

Removable Discontinuity is a kind of discontinuity in which the function is discontinuous at a point, but it can be fixed by defining or redefining the function at that particular point.

Therefore, we can say that for any function with a removable discontinuity, the value at the point is always equal to the limit from both sides. Hence, we can say that if \( f \) has a removable discontinuity at \

( x=5 \) and \( \lim _{x \rightarrow 5^{-}} f(x)=2 \), then \( f(5)=2\).

Therefore, the correct option is i. 2.

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Answer:

y is 96 when x is 12

Step-by-step explanation:

If x and y vary directly, it means that they are proportional to each other. Mathematically, we can write this relationship as:

y = kx

where k is the constant of proportionality.To find the value of k, we can use the information given in the problem. We know that when x is 6, y is 48. Substituting these values in the equation above, we get:

48 = k * 6

Solving for k, we get:k = 8

Now that we know the value of k, we can use the equation to find y when x is 12:

y = kx

y = 8 * 12

y = 96

Therefore, when x is 12, y is 96.

also in my head I just said if 12 is double of 6, just double 48, which is 96. but that doesn’t always work so that’s why I provided “correct” work above

The simple interest rate that will ensure that Bob's investment of R6,500 equals Alice's 3% compound interest per year investment is 3.2%.

The difference between simple interest and compound interest is that simple interest computes interest on the principal only for each period.

Compound interest computes interest on both the principal and accumulated interest for each period.

Alice:

Principal investment = R6,500

Compound interest rate per year = 3%

Investment period = 5years

Future value = R7,535.28 (R6,500 x 1.03⁵)

Total Interest R1,035.28 (R7,535.28 - R6,500)

Bob:

Principal invested = R6,500

The simple interest rate = r

Investment period = 5years

The future value of the simple interest investment, A = P(1+rt)

7,535.28 = 6,500(1 + 5r)

Dividing each side b 6,500:

1.15927 = (1 + 5r)

5r = 0.15927

r = 0.031854

r - 0.032

r = 3.2% (0.32 x 100)

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Calculate r, giving your answer correct to 1 decimal place.

The name of a function identifies it and must be used when the function is called - True

A function serves as its unique identifier and must be used when calling the function. A function in a computer language is given a name when it is created so that the user can invoke it later on in their particular code. The function is identified by its name which also serves to set it apart from similar functions with potentially different titles.

Depending on its definition, the parentheses that come after the function name may or may not contain arguments or parameters when calling a function. A function is called, executed, and its outcomes are returned to the caller code. Due to the reason that it is a crucial part of the function's definition, its name must always be employed when a function is called.

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A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.

A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.

The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.

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