Keiko paid $15. 84 for a 7. 48 - kg bag of dog food. A few weeks later, she paid $16. 58 for a 7. 94 - kg bag at a different store. Find the unit price for each bag

Answer:

300 gallons

Step-by-step explanation:

A saline solution is a solution of salt in water.

The percent is the percent of salt in the total amount of solution.

A 40% saline solution has 40% of salt out of the total volume.

Let the amount of pure water needed = x.

The amount of existing 40% solution is 500 gal.

Let the total amount of 25% saline solution made = y.

Equation of volumes of solutions:

500 + x = y

y = x + 500          Eq. 1

Equation of volume of salt:

500 gal of 40% saline solution has 0.4 × 500 gal = 200 gal of salt

Pure water has 0% salt.

The final product is a solution that is 25% saline. Its volume is y.

The volume of salt in the y gallons of 25% saline solution is 25% of y = 0.25y

The equation of salt content is:

200 + 0 = 0.25y

y = 800       Eq. 2

Eq. 1 and Eq. 2 form a system of equations.

y = x + 500

y = 800

Substitute 800 for y in Eq. 1.

y = x + 500

800 = x + 500

x = 300

Answer: 300 gallons of pure water

Answer:

268,447,489 years

Step-by-step explanation:

We can use dimensional analysis to solve this problem.

There are approximately 5.879 x 10^12 miles/ light year

Therefore, 4 Ly (5.879 x 10^12 miles / Ly) = 2.3516*10^13 miles.

We are given a speed of 10 miles/hr

So, 2.3516 x 10^13 miles (1 hr/10 mi)(1 day/24 hrs)(1 yr/365 days) = 268447488 years or 2.684 x 10^8 years.

Answer:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Step-by-step explanation:

Correct answer:

The sum of the lengths of 2 sides of a triangle must be greater than—but not equal to—the length of the third side.

Answer:

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

Explanation:

I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.

Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.

--------

To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,

y = (-3/2)x+1

y = (-3/2)*0+1

y = 1

The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.

Answer:

Q1:14 Q2:8903.5

Step-by-step explanation:

I find that using equations to solve problems makes it a lot easier.

The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.

So we need to find a value of x that works for each company and a value of y that is the same for the cost.

Now we combine them.

Solve for x:

5743+225.75x=7500+100.25x

-5743                -5743

225.75x= 1757+100.25x

-100.25x           -100.25x

125.50x=1757

/125.5     /125.5

x=14

Therefore, for Q1, the answer is 14.

Now we solve for y by substituting x for 14.

5743+225.75(14)

5743+3160.5

8903.5

We can also check this with the other equation

7500+100.25(14)

7500+1403.5

8903.5

So therefore, the answer to Q2 would be 8903.5.

Answer:

Step-by-step explanation:

\(multiply\\4^x*5^y*4^y*5^x=20*20^2\\4^{x+y}*5^{x+y}=20^{1+2}\\(4*5)^{x+y}=20^3\\20^{x+y}=20^3\\x+y=3\)

At x = 1, the coordinates are (1, 4)

They represent the proportionality of 1 teaspoon of cumin and 4 teaspoons of chili powder.

The graph is proportional because as x increases, y al

Answer:

25%

Step-by-step explanation:

profit percentage = (profit/cost price) * 100

selling price = 600

profit = 600 * 20/100 = 120

cost price = 600-120 =480

profit percentage = (120/480) * 100 = 25

The closest correlation of rates of return between stocks a and b is approximately -0.487 (negative), indicating opposite movements.

The relationship coefficient between two stocks an and b can be determined utilizing the equation:

relationship coefficient = covariance/(standard deviation of stock a * standard deviation of stock b)

Considering that the covariance between the profits of stocks an and b is - 0.073, and the standard deviation of the paces of return is 0.5 for stock an and 0.3 for stock b, we can substitute these qualities into the recipe to track down the connection coefficient.

relationship coefficient = - 0.073/(0.5 * 0.3) ≈ - 0.487

Consequently, the nearest worth of the connection of the paces of return between stock an and b is - 0.487. This negative relationship coefficient demonstrates that the profits of the two stocks will generally move in inverse bearings. At the point when one stock's return is high, the other stock's return is probably going to be low, as well as the other way around.

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Answer:

$142.92

Step-by-step explanation:

120 * 1.06^3 = 142.92192

Answer:

- 5√2 / 2   ,   - √2

Step-by-step explanation:

√2 x² + 7x + 5√2 = 0

√2          5

1              √2

(√2 x + 5) (x + √2) = 0

√2 x + 5 =0            x = - 5/√2 = - 5√2 / 2

or x + √2 = 0          x = -√2

Answer:

1/3

Step-by-step explanation:

Scale factor =Image/object

scale factor=Figure B/Figure A

Take any side

=>3/9=1/3

Answer:

no error original system so good by

The probability that exactly 7 customers are very satisfied is 0.75.

So, the probability that exactly 7 customers are satisfied.

We know that a total of 93% of customers are satisfied.

Then, get 93% of 10:

10/100 × 93

0.1 × 93

9.3

Probability formula: P(E) = Favourable events/Total events

F(E) = 7 and T(E) = 9.3

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 7/9.3

P(E) = 0.75

Therefore, the probability that exactly 7 customers are very satisfied is 0.75.

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Correct question:
Use excel to find the following binomial distribution probabilities. a hotel claims that 93% of its customers are very satisfied with its service. complete parts a through e below based on a random sample of 10 customers. (4 points) a) what is the probability that exactly 7 customers are very satisfied?

Answer:

926% and I'm pretty sure the other one is 0.7

Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %

9514 1404 393

Answer:

  11.5 m

Step-by-step explanation:

The fact that the figures are similar means the side lengths are proportional:

  RS/QT = BC/AD

  RS/(7 m) = (2.3 m)/(1.4 m)

  RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m

  RS = 11.5 m

In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.

For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.

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Answer:

1) The first filter to use is that if dealt between 5 people, there are 2 cards left over:

=> the number of cards must end in 2 or 7.

2) But if dealt between 4 people, 3 cards remain:

=> it is not possible for the number of cards to end in 2 as there cannot be a remainder of 3 with any even number, hence number must end in 7.

3) If the cards are dealt between 3 people to give n cards each, then 2 cards remain:

If 3n+remainder 2 ends in 7

=>3n ends in 5.

4) If 3n < 50 then the only possible numbers for 3n are 15 and 45.

We are told that a small number of cards are lost, so check 3n=45:

3n+ remainder 2= 47, and we are told that dealing between 4 leaves remainder 3:

47/4+= 11 remainder 3.

Hence the number of cards is 47.

the number of cards lost are 5 and the cards left are 47.

Step-by-step explanation:

We are given that certain number of cards are lost.

When divided among the four people, 3 cards are remaining. This implies that the number of cards lost may be 1,5 or 9 then only we will get the 3 cards left. Going by this approach, the number of cards available should be 52–1=51; 52–5=47; 52–9=43

Case 1: when one card is lost (available cards will be 51)

When 51 cards are divided among four people will give 3 remainders (48+3) which satisfies the given condition.

When 51 cards are divided among three people will give no remainder. But we expect the remainder to be 2. So, this case cannot be true.

Case 2: When 5 cards are lost (available cards will be 47)

When 47 cards are divided among four people will give 3 as remainder (44+3) which satisfies the given condition.

When 47 cards are divided among three people will give 2 as remainder (45+2) which satisfies the given condition.

When 47 cards are divided among five people will give 2 as remainder (45+2) which satisfies the given condition.

9514 1404 393

Answer:

Step-by-step explanation:

I find it convenient to use a graphing calculator to graph the function.

The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.

The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.

The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.

The correct matching of the algebraic equation to the verbal description of an equivalent equation is given below:

An algebraic equation, sometimes known as a polynomial equation, in mathematics, is a formula of form P=0, where P is a polynomial with coefficients in some field, typically the field of the rational numbers.

The equivalent description has been matched to the given algebraic equation above,

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Answer:

A. Marcus worked 27 hours and 45 minutes in the week.

B. He earned $391.5 for the week.

Step-by-step explanation:

First you calculate the hours he worked daily and you add them together, when you have the weekly hours you multiply the hours times what he earns each hour.

It's 27 • 14.50= $391.5

Answer:

Sam's experimental probability of getting heads in 30 coin flips was 20 out of 30, while the theoretical probability of getting heads is 1/2 or 0.5.

Sam's experimental probability of getting heads in the 30 coin flips was 20 out of 30, which can be written as 20/30 or simplified to 2/3. This means that in the experiment, heads appeared in approximately two-thirds of the flips. On the other hand, the theoretical probability of getting heads in a fair coin flip is 1/2 or 0.5. This is because there are two equally likely outcomes (heads or tails) and only one of them is heads.

Comparing the experimental and theoretical probabilities, we can see that Sam's results deviate slightly from the expected outcome. The experimental probability of getting heads is higher than the theoretical probability. This could be due to chance or random variation, as 30 coin flips may not be enough to perfectly represent the true probability. With a larger number of trials, the experimental probability would tend to converge towards the theoretical probability. However, in this specific experiment, Sam's results suggest a slightly biased coin favoring heads.

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Answer:

the answer is the 1 one S = (V,S.I,D,I,I,N,O)

Step-by-step explanation:

Answer:

The answer would be A S=(V,S,I,D,I,I,N,O

Step-by-step explanation:

The maximum profit per day is $600, and the soft-drink vendor must sell 1,500 cans to achieve this maximum profit.

The profit function for the soft-drink vendor is given by P(x) = -0.001x^2 + 3x - 1800. To find the maximum profit per day and the number of cans to sell for maximum profit, follow these steps:

1. Identify the quadratic function: In this case, it's P(x) = -0.001x^2 + 3x - 1800.

2. Find the vertex of the parabola, which represents the maximum profit point. The x-coordinate of the vertex can be found using the formula x = -b / 2a, where a and b are the coefficients of the quadratic function (a = -0.001, b = 3).

3. Calculate the x-coordinate of the vertex: x = -3 / (2 * -0.001) = -3 / -0.002 = 1500.

4. Substitute the x-coordinate back into the profit function to find the maximum profit: P(1500) = -0.001(1500)^2 + 3(1500) - 1800 = $600.

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if other factors are held constant, what is the effect of increasing the sample variance: B. it will increase the estimated standard error and decrease the likelihood of rejecting h0.

In Mathematics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, the standard error of a sample proportion can be calculated by using this formula:

Standard error = √(p × (1 - p)/n)

Where:

Generally speaking, the effect of increasing the sample variance is an increase in estimated standard error and a decrease in the likelihood of rejecting H_{0} provided that other factors are held constant.

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For (a)  the probability that a person with brown hair also has brown eyes is 37.5%.

Let's calculate the probabilities directly:

Given:

P(Brown Hair) = 40% = 0.4

P(Brown Eyes) = 25% = 0.25

P(Brown Hair and Brown Eyes) = 15% = 0.15

a. Probability that a person with brown hair also has brown eyes:

We want to find P(Brown Eyes | Brown Hair), the probability that a person has brown eyes given that they have brown hair.

Using the formula for conditional probability:

P(Brown Eyes | Brown Hair) = P(Brown Hair and Brown Eyes) / P(Brown Hair)

P(Brown Eyes | Brown Hair) = 0.15 / 0.4 = 0.375 = 37.5%

Therefore, the probability that a person with brown hair also has brown eyes is 37.5%.

b. Probability that a person with brown eyes does not have brown hair:

We want to find P(Not Brown Hair | Brown Eyes), the probability that a person does not have brown hair given that they have brown eyes.

Using the formula for conditional probability:

P(Not Brown Hair | Brown Eyes) = P(Brown Eyes and Not Brown Hair) / P(Brown Eyes)

P(Not Brown Hair | Brown Eyes) = (P(Brown Eyes) - P(Brown Hair and Brown Eyes)) / P(Brown Eyes)

P(Not Brown Hair | Brown Eyes) = (0.25 - 0.15) / 0.25 = 0.10 = 10%

Therefore, the probability that a person with brown eyes does not have brown hair is 10%.

c. Probability that the person has neither brown eyes nor brown hair:

We want to find the probability that a person has neither brown eyes nor brown hair.

P(Neither) = 1 - P(Brown Hair) - P(Brown Eyes) + P(Brown Hair and Brown Eyes)

P(Neither) = 1 - 0.4 - 0.25 + 0.15 = 0.5 = 50%

Therefore, the probability that the person has neither brown eyes nor brown hair is 50%.

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Answer:

4000

Step-by-step explanation: