Aquarium a contains 4. 6 gallons of water. Louise will begin filling aquarium a at a rate of 1. 2 gallons per minute. Aquarium b contains 54. 6 gallons of water. Isaac will begin draining aquarium b at a rate of 0. 8 gallon per minute. After how many minutes will both aquariums contain the same amount of water and what will be the amount of water in each aquarium?.

Yes, it indicates that the number of single people under the age of 25 is higher than the national percentage reported by the large insurance company, according to the calculated z-score.

here the sample size is = 25(n), therefore sample proportion will be, p⁰= 41/25 =0.774 .since the  null  hypothesis is  :H₀:p =0.68 and the alternative hypothesis  is  :H₁:p>0.68 .The  z-test  is :

Z=p⁰−p/ √(p(1-p)/n

  = 0.774-0.68/root(0.68(1-0.68)/52

    =1.453

The p-value for  the z score = 1.453 is 0.0731.Here the P-value is greater than the 5% level of significance. We come up short to dismiss the null hypothesis at the 5% level of significance. it can be concluded that the number of single individuals under the age of 25 is higher than the national percentage detailed by the large insurance company.

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Answer:

the first one, the top left corner

Step-by-step explanation:

y- int = 5

no x int

The fraction -(13/10) × 6 is equal to the mixed fraction -7 whole number 4 divided by 5.

From the given fracion;

-(13/10) × 6 = -[13/(2×5)] ×2 × 3

we divide the common factor 2 for 10 and 6

-(13/10) × 6 = -(13/5) × 3

multiply the numerators

-(13/10) × 6 = (-13×3)/5

-(13/10) × 6 = -39/5

divide -39 by 5

-(13/10) × 6 = -7 whole number, 4/5 in mixed fraction

Therefore, the mixed fraction for -(13/10) × 6 is -7 4/5.

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Answer: X'=

(7,-4)

Step-by-step explanation: We have the rule (x+3,y-5) so using the given coordinates (4, 1), we can find the answer by doing this => (4+3,1-5)=(7,-4)

Answer:

A

Step-by-step explanation:

g(x) = f(x) + 3

If the wait() and signal() semaphore operations are not executed atomically, then mutual exclusion may be violated as a wait operation atomically decrements the value associated with a semaphore.

Semaphores refers to integer variables utilized to solve the critical section problem by using two atomic operations, wait and signal that are used for process synchronization. The wait operation decreases the value of its argument S, if it is positive and if S is negative zero or negative, then no operation occurs. The signal operation increases the value of its argument S. Operation wait() and signal() must be completely atomic or else it violates the mutual exclusion. Mutual exclusion refers to the property of process synchronization which asserts that “no two processes can exist in the critical section at any given point of time”.

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The zeroes of the polynomial is -7,-9 and the lesser x = -9, greater x = -7.

What is zeroes of polynomial?

We already know that a polynomial is an algebraic term with one or many terms. Zeroes of Polynomial are the real values of the variable for which the value of the polynomial becomes zero. So, real numbers, ‘m’ and ‘n’ are zeroes of polynomial p (x), if p (m) = 0 and p (n) = 0.

Given

f(x) = (x+8)² - 1

=x^2+64+16x-1

=x^2+16x+63

=x^2+7x+9x+63

=x(x+7)+9(x+7)

=(x+7)(x+9)

therefore, x=-7,-9

The lesser x = -9,

the greater x = -7.

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The polynomial, f(x) expressed as a product of linear factors is; f(x) =(-5/2 + √ 5) and (-5/2 - √ 5)

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

Given that ;

[tex]p(A) = 2x^3 - 3x^2 + 10x + 6[/tex]

[tex]P(a)= (2x^3 - 3x^2) + (10x + 6)[/tex]

therefore need to further factorise the quadratic expression (x² + 5x +3) using the quadratic formula;

Quadratic formula;

x = {-b ± √(b² +4ac)}/2a

where; a = 1, b = 5, c = 3.

Therefore; x = -5/2 + √ 5or x = -5/2 - √ 5

Therefore, the other factors are:

(-5/2 + √ 5) and (-5/2 - √ 5)

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Answer: Sixth throw is 6

Step-by-step explanation: Let sixth throw be 'x'

1+5+3+5+1+x/6=3.5

15+x=3.5*6

15+x=21

x=6

Answer:3

Step-by-step explanation: literally just subtract 2 each time its not hard

In the given geometric sequence

a) The expression of the common ratio r = -6 and (m+8)/2

b) The possible value of m = -28

c) The possible value of r = -6

The geometric sequence is

-1 , 6, m+8

The the common ratio = second term / first term

= 6 / -1

= -6

The common ratio = third term /  second term

= (m+8)/6

The two expressions of common ratio is -6 and (m+8)/6

Part b

The third term = second term × common ratio

= 6 × -6

= -36

Then,

m +8  = -36

m = -36 + 8

m = -28

The possible value of m = -28

Part c

The possible value of r = -6

Hence, in the given geometric sequence

a) The expression of the common ratio r = -6 and (m+8)/2

b) The possible value of m = -28

c) The possible value of r = -6

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20 to 25 minutes Transcription occurs at a rate of 40 nucleotides per second.

Given,

In the question:

If transcription progresses at the rate of 40 nucleotides per second.

To find the how long it would take to transcribe a sequence that is 3. 6 x 104 bases long?

Why is a nucleotide necessary?

Nucleotides have a variety of roles in animal physiology, including those of energy storage, transporters of activated metabolites for biosynthesis, structural moieties of coenzymes, and metabolic regulators.

Give an example of nucleotides and describe them.

A nucleotide is the fundamental part of nucleic acids (RNA and DNA). A nucleotide is made up of a nitrogen-containing base, a phosphate group, and a sugar molecule (either ribose in RNA or deoxyribose in DNA). The nucleotides used in DNA are adenine (A), cytosine (C), guanine (G), and thymine (T).

Hence, 20 to 25 minutes Transcription occurs at a rate of 40 nucleotides per second.

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Answer:

3/32-pound cheese in 1 serving

Step-by-step explanation:

(3/8)/4=3/32 or 0.09375 lbs

7v + 12b = 640

12v + 6b = 456

Multiply the bottom equation by -2 in order to cancel out 12b with 6b.

7v + 12b = 640

- 24v -12b = -912

-17v = -272

17v = 272

v = 272/17

v = 16 students

If we use this: 7v + 12b = 640 ;then:

7(16) +12b = 640

112 +12b = 640

12b = 640 -112

12b = 528

b = 528/12

b = 44 students

So the number of students in each van is 16, and number of students in each bus is 44.

Answer:

Step-by-step explanation:

To plot

(

−

4

,

−

3

)

, start at the origin

(

0

,

0

)

and move left

4

units and down

3

units.

(

−

4

,

−

3

)

Using the percentage, the amount of pure acid in 40 oz of 15% acid solution is 6 OZ.

In the given question,

The amount of pure acid in 40 oz of 15% acid solution is in OZ.

As we know that percentage is represent as a ratio of 100. So we solve it by converting the percentage.

So

=40×15%

So the simplified form is

=40×15/100

Simplifying

=6

Hence, the amount of pure acid in 40 oz of 15% acid solution is 6 OZ.

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Answer:

b i think

Step-by-step explanation:

becuase 45f in total and for every hour it decreses 2f the anwser would be b but i may be wrong

Answer:

With what?

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

The domain includes all real numbers, and the range is y > 0

What are domain and range?

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range. In general, a function's domain and range are denoted as follows: Range(f) = f(x): x domain(f) and domain(f) = f(x): x R

Domain: The domain is the set of all possible x-values.

Range: The range of a function is the complete set of all possible resulting values of the dependent variable y.

We can see from the graph, x values include all real numbers and range ( y values greater than 0 because the graph line does not intersect at 0.

we know that

The domain of the function of the graph is the interval (-∞,∞)

That means the domain is all real numbers.

The range of the function of the graph is the interval is (0,∞)

That means the domain is all real numbers greater than zero.

So, Option d is correct.

Therefore,

The domain includes all real numbers, and the range is y > 0.

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with 100 flips, the outcome is very likely to be 45 heads or even less.

just because you have a 50% chance of getting heads, does not necessarily mean that you will get heads at exactly 50%.

100 coin flips will not always produce a 50-50 outcome of heads or tails. This is due to the fact that random events, while predictable in the long run, are not 100% predictable in small cases. For example, if we flipped a fair coin a quadrillion times, the variability in the outcomes caused by the coin's randomness would amount to a fractional value so small that calculators might even round the percentage of heads to 50%. However, with 100 flips, the outcome is very likely to be 45 heads or even less.

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70-year-olds pay an extra $15708 for a 20-year term.

Given;

The average cost to a 50-year-old male for a $100,000 term life policy is $14. 34 per month. The same policy would cost a 70-year-old male $79. 79 per month.

A 70-year-average old's monthly expense (MAC) is $79.79

A 50-year-average old's monthly expense (MAC) is $14.34

MAC → Monthly Average Cost

To get how much more will the 70-year-old pay for a 20-year term;

We will multiply the monthly value by the yearly and solve the given data,

The extra amount paid = (MAC of 70 years old * 12 - MAC of 50 years old * 12) * 20 years term.

                                      = ($79.79 * 12 - $14.34 * 12) * 20

                                      = ($957.48 - $172.08) * 20

                                      = $15708

Hence, the excess amount 70-year-old pay for a 20-year term is $15708.

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The key features of the graph of the exponential function are given as follows:

The y-intercept of a function gives the value of the function when it crosses the y-axis, that is, when x = 0, hence it is the initial number of mammals, which is of 120.

As x goes to infinity, the number of mammals will never be of zero but it will get very close to zero, hence the line y = 0 is the horizontal asymptote of the graph.

The graph is shown by the image given at the end of the answer.

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The confidence interval at a 90% is 29.533 ≤ μ ≤ 40.467

Given that

mean = 35

standard deviation = 15

We compute the confidence interval as follows:

μ =¯ˣ± ME

Where:

To calculate the margin of error, we will use the t-distribution since the sample is very small n<30. Thus, our margin of error will be calculated as:

ME = t ×[tex]\frac{s}{\sqrt{n} }[/tex]

Where:

t = is the t-score at the 90% confidence level

degree of freedom df = 24 -1 =23

s = 15 is the standard deviation and,

n =24 is the sample size.

From the t-distribution tables, we will read the values of t at a critical value [tex]\alpha[/tex] = 0.10, and the degree of freedom is 23. This will give t= 1.714.

Thus, the margin of error is:

ME = 1.714 ×[tex]\frac{15}{\sqrt{23} }[/tex]

ME = 1.714 ×3.19

ME = 5.467

the confidence interval for the population mean is equal to:

μ = 35 ± 5.467

29.533 ≤ μ ≤ 40.467

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Answer:

I believe it is the last option but I'm not completely sure because the pic is blurry. But if the beginning of the graph is at (-3, -4) then the last option is definitely correct.

Step-by-step explanation:

Remember h controls horizontal movement k controls vertical movements.

always remember to take the opposite of h.

;)

The solution to the system of equations, using elimination, is given as follows:

x = 0.0135, y = -0.2767, z = -0.1024.

The solution to the system of equations is obtained using the elimination method, as the variables are written as functions of each other and then solved.

The system in this problem is composed by the equations presented as follows:

From the first equation, the variable z is written as function of variables x and y, as follows:

z = 5x - 3y - 1.

Replacing in the second equation, we have that:

x + 4y - 6(5x - 3y - 1) = -1

-29x + 22y = -7.

Replacing in the third equation, we have that:

2x + 3y + 4(5x - 3y - 1) = -1

22x - 9y = 3.

Hence the system is now:

Multiplying the first equation by 9 and the second by 22, we have that:

Adding the equations, the solution for x is obtained as follows:

223x = 3

x = 3/223

x = 0.0135.

Then the solution for y is obtained as follows:

-261(0.0315) + 198y = -63

y = (-63 + 261(0.0315))/198

y = -0.2767.

The solution for z is:

z = 5(0.0135) - 3(-0.2767) - 1 = -0.1024,

The problem asks to solve the system of equations using the elimination method.

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a) Total surveyed students=1500

b) Drank alcohol or smoked cigarettes=1088.

c) Drank alcohol only=432

What is Venn Diagram?

A Venn diagram employs circles or other shapes that overlap to show the logical connections between two or more groups of objects. They frequently serve to visually group objects while highlighting how they differ and how they are similar.

Given, Alcohol drank → 857

         Smoked cigarettes → 639

         Illegal drugs used → 176

         Drank alcohol regularly and smoked cigarettes → 388

         Drank alcohol regularly and used illegal drugs →100

         Smoked cigarettes and used illegal drugs → 105

         Engaged in all three behaviors → 83

         Engaged for none of these → 358

         Notation used, Alcohol (A), Drugs (D), Cigarettes (C)

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The percent change from the old model to the new model estimation of a 5-year old dog's age is 41.66%  .

The traditional model involved multiplying the dog's age with seven to calculate their age in human years. for example if the age of dog is 3 years , so in human years he/she will be 3x7 = 21 years old in human years.

Here we calculate the age of 5-years old dog in human years. So we multiply the 5 with 7 and get the answer as 35 years .

As per the new convention 5-years old dos's age is nearly equal to 60 in human years.

So the difference in age in both the methods is

age difference = 60 - 35

                          =  25

So the percent change in age = (25/60) x 100

                                                  = 41.66 %

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In the given situation, the work done by gravity is zero as any work done during a downward part of the motion as undone during the upward parts.

Work refers to the measurement of energy transfer that happens when an object is moved over a distance by an external force which is applied in the direction of the displacement. Hence, the work done is given by the multiplication of force and displacement in the direction of force i.e., W = F x d. As in the given case, the displacement d = 0 as the particle returns to the same point. The work done by gravity would measure the displacement along the y-axis and as the total displacement is zero, hence, work done will be zero.

Note: The question is missing the figure which is attached.

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Answer:

3 cars

Step-by-step explanation:

We know this because 15 3/4 is the same as 63in and 3 5/8 is the same as 21. So we divide 63÷21=3

Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.

Given:

an unbiased coin is tossed 20 times.

The probability that the coin lands heads exactly 11 times:

P = n(E)/n(S)

n(S) = 2^tosses

= 2^20

= 1048576

n(E) = C(20,11)

= 20!/11!(20-11)!

= 20!/11!*9!

= 167960

Probability P = 167960/1048576

= 0.16017 ≈ 0.1602

Therefore Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.

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