Write the following comparison as a ratio reduced to lowest terms 37 nickels to 49 dimes

===================================================

Explanations:

Use a marker/pen of a different color to highlight angle ABC so its easier to see. Check out the diagram below. The only ray in the interior of this angle is ray BD.  The bisector must always be in the interior. The angle markers for angle ABD and DBC are the same indicating they are the same measure; therefore, ray BD bisects angle ABC.

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Segments IG and GH are the same length because they share the same single tickmark. Their lengths are shown as 3x and 5x-10. Set the algebraic expressions equal to one another. Solve for x. Then use this x value to find GH

IG = GH

3x = 5x-10

3x-5x = -10

-2x = -10

x = -10/(-2)

x = 5

GH = 5x-10

GH = 5*5-10

GH = 25-10

GH = 15

note that IG = 3x = 3*5 = 15 as well

Answer:

there is a 1 to 15 relationship  between miles and gallons

Step-by-step explanation:

Answer:

(a) He would need 76 feet of fencing

(b) Kevin should buy the packaged box of 90 feet of fencing for $950.

(c) How much does he save?

For every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.

Step-by-step explanation:

(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?

From the question, we are told that the swimming pool measures:

14-1/2 feet wide and 23-1/2 feet long.

Perimeter of a fence = 2(L + W)

= 2( 14-1/2 + 23-1/2)feet

= 76 feet

This means he need 76 feet of fencing.

(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy?

If : For cut to order fencing

1 foot = $12.40

76 feet =

Cross Multiply

= 76feet × $12.40/1 foot

= $942.4

This means that the cut to order fencing would cost him $942.40

The packaged box of fencing cost $950 for 90 feet of fencing. This is cheaper than the cut to order fencing and he would have extra feet of fencing(14 feet) .

Therefore, Kevin should buy the packaged box of 90 feet of fencing for $950.

How much money does he save?

For the cut to order box

1 feet = $12.40

For the packaged fence,

90 feet = $950

1 feet = x

= 950/90

= $10.555555556

≈ $10.56

Hence, 1 feet of packaged fence = $10.56

Subtracting $10.56 from $12.40

= $12.40 - $10.56

=$ 1.94

Therefore, for every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.

This means:

1 feet (packaged fence) = $10.56

76 feet = x

= 76 × $10.56

= $802.56

Answer:

the amount have in five years is $1,338

Step-by-step explanation:

The computation of the amount have in five years is shown below

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $1,000 × (1 + 0.06)^5

= $1,000 × 1.06^5

= $1,338

Hence, the amount have in five years is $1,338

We simply applied the above formula so that the correct value could come

And, the same is to be considered

The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

If it's in decimal form, it can be 30+0.15=30.15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

a, e, f

Answer:

His total is $269

Step-by-step explanation:

8x19 = 152

6x19.50 = 117

152+117 = 269

One uniform equals 12 yards, so multiply 8x12 and you get 96 yards.

Answer:

$2.25

Step-by-step explanation:

9/4=2.25

checking work:

2.25+2.25=4.50

4.50+4.50=9

Answer:

  √17

Step-by-step explanation:

The Pythagorean theorem can be used for the purpose.

  hypotenuse² = base² +height²

  (√26)² = 3² +height²

  26 -9 = height²

  height = √17

The length of the other leg is √17.

Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

The ordered pair that is in the solution set of the given inequality is (-1, -9). The correct answer would be an option (C).

An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.

We can substitute each of the ordered pairs into the inequality to see if it satisfies the inequality:

A: (2, -1)

5x - 2y > 12

5 × 2 - 2 × -1 > 12

10 - 2 > 12

8 > 12 (False)

B: (1, 5)

5x - 2y > 12

5 × 1 - 2 × 5 > 12

5 - 10 > 12 (False)

C: (-1, -9)

5x - 2y > 12

5 × -1 - 2 × -9 > 12

-5 + 18 > 12 (True)

D: (0.2, 0.5)

5x - 2y > 12

5 × 0.2 - 2 × 0.5 > 12

1 - 1 > 12 (False)

So, the only ordered pair that is in the solution set of the inequality is C: (-1, -9).

Hence, the correct answer would be option (C).

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Answer:

1.The  equation of best fit is ŷ = 2.69152X + 3.45818.

Step-by-step explanation:

Answer + Step-by-step explanation:

the inequality by finding the boundary line, then shading the appropriate area.

y > − 5/2x − 5

(anything in shaded region)

Using conditional probability, it is found that there is a 0.3266 = 32.66% probability that the person first went on tour T2.

Conditional Probability

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem:

The percentages associated with a return are:

Hence:

\(P(A) = 0.75(0.5) + 0.667(0.3333) + 0.5(0.1667) = 0.6806611\)

The probability of both returning and first going on T2 is:

\(P(A \cap B) = 0.667(0.3333)\)

Hence, the conditional probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.667(0.3333)}{0.6806611} = 0.3266\)

0.3266 = 32.66% probability that the person first went on tour T2.

A similar problem is given at https://brainly.com/question/14398287

a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

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Answer: The answer is B.)

Have a great Day/Night!

Answer:

We can use the formula for compound interest to find the future value (FV) of Natalie's investment:

FV = P * (1 + r/n)^(n*t)

Where:

P is the principal amount (the initial investment), which is $2,000 in this case

r is the annual interest rate as a decimal, which is 11% or 0.11

n is the number of times the interest is compounded per year, which is 12 since interest is compounded monthly

t is the number of years, which is 20

Substituting the values into the formula, we get:

FV =

2

,

000

∗

(

1

+

0.11

/

12

)

(

12

∗

20

)

�

�

=

2,000 * (1.00917)^240

FV = $18,255.74

Therefore, after 20 years of compounded monthly interest at a rate of 11%, Natalie's investment of 2,000 will be worth approximately 18,256.

Answer:

$17,870

Step-by-step explanation:

You must use the formula for compound interest.

A = P(1 + r/n)^nt

I suggest you look it up at some point so that you can do these more easily in the future!

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

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Answer:

11.6 lbs

Step-by-step explanation:

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

B

Step-by-step explanation:

The domain is the set of x-coordinates.

The range is the set of y-coordinates.

In B, x is only 2 and 3.

In B, y is only 5 and 8.

Therefore, the stamp's estimated value is $21.54 considering that when he first got it, it was only worth $14.50.

A mathematical assertion that two expressions are equivalent is known as an equation. The equal symbol (=) separates the two sides, which are labeled as the left-hand side (LHS) and the right-hand side (RHS). The equation must have identical values on both sides, and it is frequently used to determine an unknown variable's value.

Numerous mathematical processes, such as addition, subtraction, multiplication, division, exponents, logarithms, and more, can be used in equations.

given

a. The formula for the stamp's worth V after t years is as follows:

\(V = 14.50(1 + 0.02)^t\)

where t is the period of time since Leroy got the stamp, and 0.02 denotes a 2% annual increase in value.

b. We enter t = 18 into the equation to estimate the stamp's value after 18 years:

\(V = 14.50(1 + 0.02)^{18\)

\(V = 14.50(1.02) (1.02)^{18\)

V = 14.50(1.485) (1.485)

V = 21.54

Therefore, the stamp's estimated value is $21.54 considering that when he first got it, it was only worth $14.50.

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Answer: C

Step-by-step explanation:

The missing side of the triangle is the hypotenuse. We are given the length for both legs. To find the midding leg, we need to use teh Pythagorean Theorem.

Pythagorean Theorem: a²+b²=c²

A and b are the legs, while c is the hypotenuse. We plug in the legs and solve for c.

2²+3.6²=c²           [exponent]

4+12.96=c²          [add]

16.96=c²              [square root both sides]

\(c=\sqrt{16.96}\)

Now that we have found the hypotenuse, we know the answer is C.

Hello!

\(\large\boxed{\sqrt{16.96}cm}\)

Use the Pythagorean theorem to solve for the missing side of the triangle:

a² + b² = c²

Plug in the given side lengths to solve for "c", or the Hypotenuse:

(2)² + (3.6)² = c²

4 + 12.96 = c²

16.96 = c²

Take the square root of both sides:

√16.96 = c