Whoever gets the answer right, gets the Brainliest. MUST BE CORRECT.

Answer:

30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.

Step-by-step explanation:

Let 'x' liters of 30% solution and 'y' liters of 70% solution are added together to get the required 60 liters of 50% of the solution.

According to the question, 30% solution and 70% solution are mixed and so, we get

\(0.3x+0.7y=0.5 \cdot 60\\\Rightarrow 0.3x+0.7y=30----(1)\)

Also, sum of the final solution should be 60 liters only so, we get

\(x+y=60----(2)\)

Solving equations (1) and (2), we get

\(x=30 liters\\ y=30 liters\)

Hence, we can say that 30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.

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The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.

Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.

Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point

P = radius of the circle.

We get

r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10

Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle

(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0

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The most suitable data type for storing annual employee salaries ranging from $25,000 to $700,000 would be option (c) decimal(10,4).

Next, we can consider float and double data types, which can store decimal values with a higher range and precision than integers. However, they can be imprecise and cause rounding errors when used to store currency values, which can be a significant issue in financial calculations.

The most appropriate data type for storing currency values is the decimal data type, which is designed to handle decimal values with high precision and accuracy. The decimal data type can store exact numeric values up to 38 digits, with a user-defined scale (the number of digits to the right of the decimal point).

Therefore, option (c) decimal(10,4) would be the best data type for storing annual employee salaries ranging from $25,000 to $700,000.

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Complete Question:

Annual salary of each employee has to be stored in dollars and cents. The salaries vary from minimum of $25,000 to maximum of $700,000. Which of the following would be the most suitable data type?

a) decimal(8.2)

b) decimal

c) decimal(10.4)

d) Small money

e) money

The correct function to use when conducting an unpaired two-sample t-test with equal variances in Python is st.ttest_ind(var A, var B, equal_var=True).

The ttest_ind function from the scipy.stats module is used for independent two-sample t-tests. By setting the equal_var parameter to True, it assumes that the variances of the two samples are equal. This assumption allows for the use of the pooled variance estimate in the calculation of the test statistic.

The other options provided are incorrect:

sLttest_rel(var A, var B, equal_var=False): This function (sLttest_rel) does not exist in the scipy.stats module. Additionally, the ttest_rel function is used for dependent (paired) two-sample t-tests, not unpaired tests.

st.ttest_rel(var A, var B, equal_var=True): This function is used for dependent (paired) two-sample t-tests, where the two samples are related or matched. It is not suitable for unpaired t-tests.

suttest_ind(var A, var B, equal_var=False): This function (suttest_ind) does not exist in the scipy.stats module. Additionally, the correct parameter name for the equal_var argument is equal_var, not equal _var.

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When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

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Answer:

18.......................

Answer: 4

Step-by-step explanation:

Answer:

3 • 25

Step-by-step explanation:

3 25 times also makes 75

Given the figure of an unlabeled rectangle

We need to find which of the labeled figures is a different scaled version of the rectangle

As shown the unlabeled rectangle has the following:

Length = 4 units

Width = 2 units

So, the ratio of the length to the width = 4:2 = 2:1

We will find the ratio of the shown rectangles to find the correct figure.

The rectangles have the label: B, C, D, E, G, H

Now, we will check the ratio for each rectangle

B: Length = 8, Width = 3 ⇒ ratio = 8:3

By making the same sequence

The answer will be:

C, D, H

Each rectangle has a length = of two times the width

These rectangles is a scaled version of the given rectangle

a. A logistic growth function for the world population in billions if the population in 1999 (t-0) reached 6 billion. K 15 billion and r, 0.025 per year is P(t) = 15 / (1 + 1.5 \(e^{-0.025t}\))

b. The interval 10, 200 x 10. 151 is 1999

c. The population be in the year 2020 will be 9.57 billion

d. The population is estimated to reach 12 billion in about 55.3 years since 1999, or around the year 2054.

e. The growth rate function of the world population is  P = K/2.

a.  To apply this to the world population, we can set K = 15 billion, r = 0.025 per year, and choose A so that P(0) = 6 billion. This gives us A = (K/P(0)) - 1 = (15/6) - 1 = 1.5. Therefore, the logistic growth function for the world population in billions is P(t) = 15 / (1 + 1.5 \(e^{-0.025t}\))

b. Using technology such as a calculator or software, we can graph the logistic growth function over the interval 10 to 200 years since 1999 (i.e., 2010 to 2199).

c. To find the population in the year 2020, we need to substitute t = 21 (since 2020 is 21 years after 1999) into the logistic growth function and solve for P(21). We get P(21) = 9.57 billion, which means the world population was estimated to be around 9.57 billion in 2020 according to this model.

d. To find when the population will reach 12 billion, we need to solve the logistic growth function for t when P(t) = 12 billion. This gives us 12 = 15 / (1 + 1.5 \(e^{-0.025t}\)), which simplifies to \(e^{0.025t}\) = 2.5.

Taking the natural log of both sides gives 0.025t = ln(2.5), so t = (1/0.025) ln(2.5) = 55.3 years.

e. To find the growth rate function of the world population, we can differentiate the logistic growth function with respect to time: dP/dt = rP(1 - P/K).

This is the growth rate function, which gives us the rate of change of the population at any given time. It depends on the population size P and the carrying capacity K, and is maximum when P = K/2.

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Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

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Answer:

15 feet squared

Step-by-step explanation:

Area = 6 x 5 x 1/2

Area = 30 x 1/2

Area = 15

Hope that helps!

Answer:

Step-by-step explanation:

P(first blue) =  444/ 1554

P(second blue) = 443/1553

P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

Answer:

400.00

Step-by-step explanation:

Answer:

hey mateee

corresponding angles are the pairs of angles that are found in the same relative position on different intersections.

so the ans wud be

a b and e :))))))

3 and 6,they both correspond each other and are equal,looking at how they r sort of opposite eac other.

DON'T JUDGE ME IF I'M WRONG IS BEEN 6 MONTHS SINCE I DID SOME MIDDLE SCHOOL MATH...

There will be 16 business cards in total. Each of the 4 people exchanges cards with the other 3 people.

When Person A exchanges business cards with Person B, it results in 2 cards on the table. The same happens when Person A exchanges cards with Person C and Person D, resulting in a total of 6 cards. This process is repeated for Person B, Person C, and Person D, leading to a total of 6 cards exchanged by each person individually. Since there are 4 people, we multiply 6 by 4, resulting in 24 cards exchanged. However, we need to divide this number by 2 because each card is counted twice (once for each person exchanging). Thus, we have a total of 12 unique cards on the table. Adding the initial 4 cards placed by the individuals themselves gives us a final count of 16 business cards.

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If john paul is 6 years older than Angelina and in 9 years the sum of their ages will be 86, then John Paul is 35 years old now.

Let's assume Angelina's current age to be x years old. Then, according to the given information, John Paul's current age would be (x + 6) years old.

In 9 years, the sum of their ages will be 86, which means that (x + 9) + (x + 6 + 9) = 86.

Simplifying the equation, we get 2x + 24 = 86.

Solving for x, we get x = 31.

Therefore, John Paul's current age would be x + 6 = 31 + 6 = 35 years old.

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If the jar of olives had a circumference of 11. 99 cm, the approximate diameter of the jar is 3.82 cm

The circumference of a circle is given by the formula C = 2πr, where C is the circumference, π is the constant pi (approximately equal to 3.14), and r is the radius. The diameter is twice the radius, so we can also write the formula as C = πd, where d is the diameter.

In this case, the circumference is 11.99 cm, so we can set up the equation

11.99 = πd

To solve for d, we can divide both sides by π

d = 11.99/π

Using a calculator, we get

d ≈ 3.82 cm

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Answer: 8 cups

Step-by-step explanation:

Let the cups of orange juice concentrate that he used be represented by x.

Therefore, based on the information, we can form an equation which will be:

2/5 = x/20

Cross multiply

5 × x = 2 × 20

5x = 40

x = 40/5

x = 8

Therefore, he used 8 cups of orange juice concentrate.

Prairie should report $253,600 in goodwill in its post combination consolidated balance sheet.


Step 1: Calculate the total cost of Amie's shares acquired by Prairie.
Initial shares: 50,400 shares * $201,600 / 50,400 shares = $201,600
Additional shares: 100,800 shares * $6 per share = $604,800
Total cost: $201,600 + $604,800 = $806,400
Step 2: Determine the percentage of Amie's shares owned by Prairie after the additional purchase.
Total shares owned by Prairie: 50,400 shares + 100,800 shares = 151,200 shares
Percentage of ownership: 151,200 shares / 168,000 shares = 0.9 or 90%
Step 3: Calculate the fair value of Prairie's share of Amie's net assets on July 1, 2021.
Fair value of Amie's net assets: $868,800
Prairie's share of Amie's net assets: $868,800 * 0.9 = $781,920
Step 4: Calculate the goodwill.
Goodwill = Total cost of shares acquired - Prairie's share of Amie's net assets
Goodwill = $806,400 - $781,920 = $24,480

Summary: Prairie Corporation should report $253,600 in goodwill in its postcombination consolidated balance sheet after acquiring a total of 151,200 shares of Amie, Inc. This is calculated by finding the total cost of shares acquired, determining the percentage of ownership, calculating the fair value of Prairie's share of Amie's net assets, and finally calculating the goodwill.

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9514 1404 393

Answer:

Step-by-step explanation:

We must assume the pentagon is regular. Its 5 sides are all the same length as AB, which is 4 units. So, the perimeter is ...

  P = 5s = 5(4) = 20 . . . units

__

The area is given by the formula ...

  A = (1/2)Pa

where P is the perimeter and a is the apothem--the distance from the center to one side.

The center coordinates are (3, 4.75), so the center is 2.75 units from side AB at y=2. Then the area is ...

  A = (1/2)(20)(2.75) = 27.5 . . . square units

A sample size of at least 538 freshmen to estimate the proportion of freshmen who do not visit their advisors regularly with a margin of error of 4% and a confidence level of 95%.

To answer your question, we need to use the formula for sample size calculation for proportion:
n = [(Z-score)^2 * p(1-p)] / E^2

Where:
n = required sample size
Z-score = the critical value for the desired confidence level (95% confidence level corresponds to a Z-score of 1.96)
p = the estimated population proportion (34% or 0.34)
1-p = the complement of p
E = the desired margin of error (4% or 0.04)

Plugging in the values:
n = [(1.96)^2 * 0.34(1-0.34)] / (0.04)^2
Simplifying the equation:
n = [(3.8416) * 0.2244] / 0.0016
n = 537.38

We need a sample size of at least 538 freshmen to estimate the proportion of freshmen who do not visit their advisors regularly with a margin of error of 4% and a confidence level of 95%. Keep in mind that this is just an estimate based on the historical data and assumes that the population proportion has not changed significantly.

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Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

To understand why, we need to convert the mass of a single bromine atom from grams to nanograms.

There are 10^9 nanograms in a single gram, so we can use this conversion factor to make the necessary calculation:
1.327 × 10-22 g x (10^9 ng/1 g) = 1.327 × 10-13 ng

However, none of the answer choices match this value. We need to use scientific notation to convert 1.327 × 10-13 ng into one of the given answer choices.
a) 1.327 × 10-16 mg = 1.327 × 10^-10 ng (since 1 mg = 10^6 ng)
b) 1.327 × 10-25 kg = 1.327 × 10^-4 ng (since 1 kg = 10^12 ng)
c) 1.327 × 10-28 μg = 1.327 × 10^-19 ng (since 1 μg = 10^3 ng)
d) 1.327 × 10-31 ng = 1.327 × 10-31 ng

Out of all the answer choices, d) 1.327 × 10-31 ng is the only one that matches the calculated value of the mass of a single bromine atom in nanograms. Therefore, d) is the correct answer.

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Answer:

There are 3 roses in the garden.

Step-by-step explanation:

If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.

Answer:

132

Step-by-step explanation:

1. -3(2z-8d) Solve within the parenthesis.

2. 2(6)=12, 8(7)=56

3. Do the math within the parenthesis with our new integers. 12-56=-44

4. multiply both integers now. -3(-44) = 132

*a negative times a negative wil give you a positive answer.

Answer:

12

Step-by-step explanation:

If z = 6 and d = 7, we can fill them in the variables. Let's rewrite the expression:

-3([ 2 × 6 ] - [ 8 × 7])

Let's start with the stuff inside the brackets. 2 × 6 minus 8 × 7. We know 2 × 6 = 12, and 8 × 7 = 56.

Then we have -3( 12 - 56 )

We then have to do 12 - 56, which gets us -44.

We now have -3( -44 ) or -3 × (-44)

-3 × (-44) = 12

Thus, we get our final answer of 12.

Hope this helped!

Answer:

Step-by-step explanation:

24+3y=56 solve for y, subtract 24 from each side

3y=32 divide each side by 3

y=32/3

Answer:

y=32/3

Step-by-step explanation:

let the number be y, then

24+3y=56 solve for y, subtract 24 from each side

3y=32 divide each side by 3

y=32/3

Answer:

3$

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.

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