at an ice cream parlor a sundae is $1.25 more than the cost of a cone. if three cones and two sundaes cost $8.00. find the cost of a sundae and the cost of a cone.

The Percentage of dogs that were adopted at the end of the day is 81.25%

The goal is to determine the percentage of dogs that were adopted.

Total dogs up for adoption = 16 Dogs

At the end of the day, the number of dogs which are not adopted = 3

Total dogs adopted = Total dogs up for adoption - number of dogs which are not adopted

Total dogs adopted = 16 - 3 = 13 dogs

So, the percentage of dogs that were adopted = (Total dogs adopted/Total dogs up for adoption) x 100

Percentage of dogs that were adopted = (13/16) x 100 = 81.25%

Hence, the Percentage of dogs that were adopted is 81.25%

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Answer:

y = - 2x + 10

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c

to find c substitute (4, 2 ) into the equation

2 = - 8 + c ⇒ c = 2 + 8 = 10

y = - 2x + 10 ← equation of line

Answer:

y = - 2x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c

To find c we must substitute (4, 2 ) into the equation

2 = - 8 + c, c = 2 + 8 = 10

y = - 2x + 10

a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b)  Based on the composite scores, Location A should be chosen for the clothing store.

To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.

a. The composite score for each location is calculated as follows:

Location A:

Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)

Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)

Composite score = 84.34

Location B:

Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)

Composite score = 81.05

Location C:

Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)

Composite score = 82.63

b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.

After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.

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Answer: a = 2^12  b= 2^12  c=2^20

d= 2^12   e= 2^64   f= 2^12   g= 2^22   h= 2^40

Step-by-step explanation:

The formula to calculate the amount of people left after t years is given byN = P(1 - r/100)^t Where N is the number of people left after t years, P is the initial population, r is the rate of decrease (as a percentage), and t is the number of years.

Given that 1% of people leave every year, the rate of decrease (r) is 1. Therefore, substituting these values, we have

N = 10,000(1 - 1/100)^8

N = 10,000(0.99)^8

N ≈ 8,180.96

Hence, approximately 8,181 people would live in the town after 8 years if 10,000 people lived there originally and 1% skipped town every year.9. The amount (in milligrams) of a drug in the body t hours after taking a dose of 200 milligrams is given by the equation: A(t) = 200e^(-kt) where k is the constant of proportionality.

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Answer & Step-by-step explanation:

Part A: The explicit equation for f(n) that represents the number of lionfish in the bay after n years can be written as:

f(n) = 9000 * (1 + 0.69)^n

where 9000 is the initial number of lionfish, 0.69 is the growth rate, and n is the number of years.

Part B: To find the number of lionfish in the bay after 6 years, we substitute n = 6 into the explicit formula from Part A and simplify:

f(6) = 9000 * (1 + 0.69)^6 = 9000 * (1.69)^6 = 9000 * 11.34 = 102,060.5

Rounding to the nearest whole number, there will be approximately 102,061 lionfish in the bay after 6 years.

Part C: The recursive equation for f(n) can be found by subtracting 1,400 from the previous year's population and then applying the annual growth rate. Thus, we have:

f(1) = 9000 f(n) = f(n-1) - 1400 + 0.69f(n-1) = 0.69f(n-1) - 1400

where f(1) is the initial number of lionfish and n represents the number of years after the first year.

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Value of x is 156 in inequality.

What is a mathematical inequality?

The equation-like shape of the formula 5x 4 > 2x + 3 is maintained despite the arrowhead in place of the equals sign. It serves as a symbol of unfairness. According to the equation, this demonstrates that the left component, 5x 4, is larger than the right component, 2x + 3.

                            An inequality in mathematics is a comparison between two numbers or other mathematical expressions that is done in an unfair manner. It is typically used to contrast the dimensions of two numbers on a number line.

X = -13 * -12

X = 156

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The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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The 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).

The parameter being estimated is the difference between two population proportions.

To find the 95% confidence interval for this parameter, we can use the margin of error formula:

where z is the z-score for the desired level of confidence (95% in this case), p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

We know that the difference between the sample proportions (phat1 - phat2) is 0.13, and the margin of error is 3%. Since the sampling distribution is assumed to be symmetric and bell-shaped, we can assume that the standard deviation of the difference between the sample proportions is equal to the standard error, which can be estimated by the margin of error.

Setting up an equation using the margin of error formula, we get:

We don't know the sample sizes or the sample proportions, so we can't solve for the confidence interval directly. However, we can use a conservative estimate for the standard deviation of the difference between the sample proportions:

Using this formula, we get:

This is approximately equal to the margin of error, so we can assume that z ≈ 1.96 (the z-score for 95% confidence) and use the formula:

Therefore, the 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).

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Answer:

9 = 20

7 = 10

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

Ok because your questions confuses me I'm going to put two answers here.

Step-by-step explanation:

Use a calculator for these type of problems in the future.

Answer:

THe answer for this question is C. It's filled with asphalt.

The La Brea Tar Pits are filled with asphalt and is denoted as option C.

This is active paleontological research which was formed around a group of tar pits.

The tar is made up of asphalt which makes it the most appropriate choice in this case.

The La Brea Tar Pits are filled with asphalt. They are a group of tar pits. There is natural asphalt that has seeped up from the ground for tens of thousands of years.

This is where many remains of prehistoric creatures were found. This animals got stuck in this pools of asphalt.

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Answer:use a right triangle calc. On the web it does it for you and shows you how it got the answer.

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:yea sure but I don’t see anything there

Step-by-step explanation:

The diameter of the hemisphere is 31.2 m.

What is volume?

The space taken up by any three-dimensional solid constitutes a volume, to put it simply. A cube, cuboid, cone, cylinder, or sphere can be one of these solids. Cubic units are used to measure the volume of solids. The volume will be given in cubic metres, for instance, if the dimensions are given in metres.

Here  the given hemi sphere volume = 8052\(m^3\).

Now using volume formula then,

=> Volume V =\(\frac{2}{3}\pi r^3\) cubic unit.

=> 8052 = \(\frac{2}{3}\times3.14\times r^3\)

=> \(r^3=\frac{8052\times3}{2\times3.14} = \frac{24156}{6.28}\)

=> \(r^3=3846.49\)

=> r= 15.6

Then diameter d = 2r = 2*15.6 = 31.2 m

Hence the diameter of the hemisphere is 31.2 m.

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The 99% confidence interval for the percentage of Phoenix residents who support mandatory sick leave for food handlers is between 85.40% and 92.60%.

Confidence interval for a proportion:

In a sample of n individuals questioned with a probability of success and a confidence level of , we have the following confidence interval: proportion.

\(\pi + z\sqrt{\frac{\pi (1-\pi )}{n} }\)

where

z is the p-value of 1 - α/2.

For this problem we have:

n = 500 , π = 445/500 =0.89

At 99% confidence level:

So, α = 0.01 and z is the value of Z with a p-value of , so 1 - 0.01/2 = 0.995

Now,

The lower bound of the interval is:

\(\pi - z\sqrt{\frac{\pi -1}{n} }\)  = \(0.89 - 2.575\sqrt{\frac{0.89*0.11}{500} }\)

= 0.8540

And,

The upper bound of the interval is:

\(\pi + z\sqrt{\frac{\pi -1}{n} }\) = \(0.89 + 2.575\sqrt{\frac{0.89*0.11}{500} }\)

= 0.9260

For percentages:

Multiply the scale by

0.8540× 100 = 85.40%

0.9260 × 100 = 92.60%

The 99% confidence interval for the percentage of Phoenix residents who support mandatory sick leave for food handlers is between 85.40% and 92.60% .

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Answer:

L=  y=4

M= y= -2x+4

N= y=x-1

P= x=-4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:10+9=19 so thats why its b

The rate of downloads per minute is constant because based on the given information, the number of songs is always twice the number of minutes.

Therefore, the constant of proportionality is 2.

Answer:

x = 5

Step-by-step explanation:

x + 4 + 12 = 4x + 1

x + 16 = 4x + 1

x + 15 = 4x

15 = 3x

5 = x

The least common denominator is 4x^2.

Answer:

Step-by-step explanation:

the least common denominator is 4 x^2

(x+1)/4x

3(x+1)/2x^2

To find the common denominator, find the prime factors of each denominator

4x =2*2*x

2x^2 = 2*x*x

We need to take the greatest number of each term

2:  We have two 2's in the first term and one 2 in the second term so we will take two 2's

x: we have one x in the first term and two x's in the second term so we take two x's

common denominator; 2*2*x*x

                                     4x^2

Answer:   1/4 chance

Step-by-step explan1ation:

5+3=8

8 / 2 = 1/4

The expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.

To calculate the expected number of cards that are next to another card of the same value in a shuffled standard deck, we can consider the probability of each card being next to another card of the same value.

Let's break down the calculation:

For each card in the deck, there are two adjacent cards (one on each side) that can potentially be of the same value. However, the first and last cards only have one adjacent card each.

For the inner cards (excluding the first and last cards), there are three possibilities for each card:

The card is of the same value as the card to its left and the card to its right.

The card is of the same value as the card to its left but not the card to its right.

The card is of the same value as the card to its right but not the card to its left.

Since each card value appears on four cards in the deck, the probabilities for each of these three possibilities are:

Probability of both adjacent cards having the same value = (3/51) × (3/51) = 9/2601

Probability of only the left adjacent card having the same value = (3/51) × (48/51) = 144/2601

Probability of only the right adjacent card having the same value = (48/51) × (3/51) = 144/2601

Now, let's calculate the expected number of cards next to another card of the same value:

Expected number = (1/52) + (1/52) + (50/52) × (9/2601 + 144/2601 + 144/2601) + (1/52) = 441/2601 ≈ 0.1698

Therefore, the expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.

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Answer:

  155°

Step-by-step explanation:

The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...

  180° -60° = 120°

The angle x is the sum of the remote interior angles of that large triangle:

  x = 35° +120° = 155°

__

Check

The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...

  180° -55° -60° = 65°

The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)

Answer:

a and c

Step-by-step explanation:

im just a god like that

The Normal model is a good approximation for the sampling distribution.

a) According to the Central Limit Theorem, the theoretical mean and standard deviation for a sample size of 20 should be 0.05 and 0.02, respectively. For a sample size of 100, the theoretical mean and standard deviation should be 0.05 and 0.01, respectively.

b) The observed mean and standard deviation for a sample size of 20 was 0.052 and 0.021, respectively. For a sample size of 100, the observed mean and standard deviation was 0.051 and 0.012, respectively. These values are fairly close to the theoretical values.

c) Looking at the histograms in Exercise 1, I would be comfortable using the Normal model as an approximation for the sampling distribution at a sample size of 100.

d) The Success/Failure Condition states that the sample size should be large enough for the sampling distribution of the sample proportions to be approximately normal. Since I chose a sample size of 100, which satisfied the condition, I can be confident that the Normal model is a good approximation for the sampling distribution.

The sample size of 100 is large enough for the sampling distribution of the sample proportions to be approximately normal, and the observed mean and standard deviation is close to the theoretical values. Therefore, the Normal model is a good approximation for the sampling distribution.

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The actual area of her office is 50 square feet.

The scale used for the blueprint of the office is the scale of reduction.

Also, the scale of reduction is uniform for the overall drawing.

We are given,

The blueprint for Zahra's new office measures 4 cm long and 2 cm wide.

The scale for the blueprint is 6 cm to 15 ft.

Let's find the actual length and width by unitary method;

Since 6 cm of the drawing denotes the actual size of 15 ft.

So, 1 cm of the drawing denotes the actual size of 15 ft./6 cm.

So, 4 cm of the drawing denotes the actual size of 15 ft./6 cm * 4 cm = 10 ft.

So, 2 cm of the drawing denotes the actual size of 15 ft./6 cm * 2 cm = 5 ft.

So, the actual length of the office will be 10 ft. and the actual width of the office will be 5 ft.

Now,

Area of the office = length * width = 10 * 5 = 50 square feet.

Thus, the actual area of her office is 50 square feet.

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