5. Joe is mixing 40 ounces of a 25% glucose solution with a 50% glucose
solution. This mixture produces a 40% glucose solution. How many ounces
of the 50% solution is Joe using in the mixture?

Answer:

Slope = 5/3

Step-by-step explanation:

See attached image

The correct statement is: The estimated return to education for women in this equation is .082, or 8.2%.

This is because the coefficient on the "educ" variable in the estimated equation is .082, which represents the estimated effect of education on earnings. The coefficient represents the change in the natural logarithm of wages associated with a one-unit increase in years of education. Since the equation estimates the natural logarithm of wages (log(wage)), the coefficient on "educ" represents a percentage change in wages, rather than a change in dollars. Therefore, the estimated return to education for women in this equation is 8.2%.

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Answer:

3(x+2)(x+8)

Step-by-step explanation:

Answer:

\(3(x+8)(x+2)\)

Step-by-step explanation:

\(3x^2 + 30x + 48 = 3(x^2 + 10x+ 16) = 3(x+8)(x+2)\)

Both options C and D are correct in describing the meaning of the margin of error, but we cannot provide specific values for the margin of error without additional information.

To answer this question, first, we need to calculate the sample proportion of adults who smoke.
Calculate the sample proportion
Number of adults surveyed = 106,600
Percentage of adults who smoke = 18%
Sample proportion (p) = (Percentage of adults who smoke) / 100
p = 18% / 100 = 0.18
Now, let's address each option in part b:
A. The probability that any given adult surveyed from the population smokes is not the correct interpretation of the margin of error.
B. The probability that any given adult surveyed from the sample smokes is not the correct interpretation of the margin of error.
C. We are 90% confident that the observed proportion of adults that smoke is within the margin of error of the sample proportion.

To calculate the margin of error, we need more information, such as the standard deviation of the population and the desired confidence level.

Since we do not have this information, we cannot provide a specific value for the margin of error.
D. We are 90% confident that the observed proportion of adults that smoke is within the margin of error of the population proportion.

Similar to option C, we need more information to calculate the margin of error, so we cannot provide a specific value for the margin of error.

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Answer/Step-by-step explanation:

5.)

Square = 2

Triangle = 3

Circle = 3

Star = 4

2(circle) + 2(triangle) = 12

12 ÷ 4 = 3

2(3) + 2(3) = 12

2(triangle) + 2(square) = 10

2(3) + 2(square) = 10

6 + 2(square) = 10

-6                      -6

2(square) = 4

÷2              ÷2

Square = 2

(circle) + (star) + 2(square) = 11

(3) + (star) + 2(2) = 11

3 + (star) + 4 = 11

7 + (star) = 11

-7               -7

Star = 4

6.)

Circle = 3

Star = 5

Triangle = 4

4(star) = 20

÷4          ÷4

(star) = 5

(star) + 3(circle) = 14

5 + 3(circle) = 14

-5                    -5

3(circle) = 9

÷3            ÷3

circle = 3

2(triangle) + (circle) + (star) = 16

2(triangle) + 3 + 5 = 16

2(triangle) + 8 = 16

                   -8    -8

2(triangle) = 8

÷2              ÷2

triangle = 4

I hope this helps!

Answer:

43

Step-by-step explanation:

2 significant figures means we keep the first 2 and round the 1 place

42.598 we round to 43 since next to the 2 is a 5 so we round up

And 43 are 2 significant figures since none of them are zero

Hopes this helps please mark brainliest

The finance charge is $285

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

Given;

An installment loan that has an APR of 16 percent

The motor scooter sells for $1,687

The store financing requires a 20 percent down payment

Monthly payments are for 30months

Now,

Downpayment= cost of scooter*20%

=1687*20%

=$337.4

Amount of finance = Cost of scooter - Down payment

=1687-337.4=1349.6

Interest rate=16%*1/12=1.3% per month

Monthly payment = Amount of finance*I/[1-(1+I)^-n]

=1349.6*1.3%/[1-(1+1.3%)^-30]

=1349.6*0.013(1-0.6780)

=17.5448/0.322

=54.486

Total amount paying for loan over a period = Monthly payment * Term

=54.486*30=1634.6

Amount of finance charge = Total amount paying for loan - Amount of loan

Amount of finance charge =1634.6-1349.6

=285

Therefore, the finance charge by given percent will be $285

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Answer:

huh i am very confused

Step-by-step explanation:

Answer: Lola is incorrect. The two expressions have different values.

Expression A is (a/b)^(-4)^0 which is equal to 1, since any non-zero number raised to the power of 0 is 1.

Expression B is (a/b)^0^(-4) which is (a/b)^(-4) which is the reciprocal of (a/b)^4. They are different values.

In general, it's important to be careful with the order of operations when working with exponents and to be aware of the difference between a^b^c and (a^b)^c or a^(b*c) depending on the context.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

90-35=55degree

180-55=125°

The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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Answer:

C

Step-by-step explanation:

I believe this is the best answer.

The point (4,7) in the original function translates to the point (4,1) in the translated function f(x) = (x-6) + 3.

To find the point that the function f(x)=(x-6)+3 translates to, we need to substitute the x-coordinate of the given point (4,7) into the translated function and evaluate the corresponding y-coordinate.

Let's substitute x = 4 into the translated function:

f(x) = (x - 6) + 3

f(4) = (4 - 6) + 3

f(4) = -2 + 3

f(4) = 1

The translated point is (4, 1). This means that the original point (4,7) translates horizontally by shifting 6 units to the right and vertically by shifting 3 units upwards. The x-coordinate remains the same, while the y-coordinate changes.

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Answer:

76

Step-by-step explanation:

1/3,840

The probability of plotting 3 samples in a row in Zone A on the Albertson Manufacturing control chart is 1/3,840. This can be calculated by taking the total number of possible outcomes (20 x 20 x 20) and dividing it by the number of outcomes that result in 3 samples in a row in Zone A (1 x 19 x 20).

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a. H: δ>100 is a legitimate statistical hypothesis because it is a statement about a population parameter (δ) and it is testable using statistical methods.
b. H: x=45 is a legitimate statistical hypothesis because it is a statement about a population parameter (x) and it is testable using statistical methods.
c. H: s<.20 is a legitimate statistical hypothesis because it is a statement about a population parameter (s) and it is testable using statistical methods.
d. H: δ1/δ2 <1 is a legitimate statistical hypothesis because it is a statement about a population parameter (δ1 and δ2) and it is testable using statistical methods.
e. H: X-Y=5 is a legitimate statistical hypothesis because it is a statement about a population parameter (X and Y) and it is testable using statistical methods.
f. H: גּ<.01 is a legitimate statistical hypothesis because it is a statement about a population parameter (λ) and it is testable using statistical methods, with the parameter being the rate parameter of an exponential distribution used to model component lifetime.

Here are the answers for each assertion:

a. H: δ>100 - This is a legitimate statistical hypothesis because it states a specific direction for the population parameter (delta).

b. H: x=45 - This is not a legitimate statistical hypothesis because it refers to a sample statistic (x) rather than a population parameter.

c. H: s<.20 - This is not a legitimate statistical hypothesis because it refers to a sample statistic (s, sample standard deviation) instead of a population parameter.

d. H: δ1/δ2 <1 - This is a legitimate statistical hypothesis because it specifies a relationship between two population parameters (delta1 and delta2).

e. H: X-Y=5 - This is not a legitimate statistical hypothesis because it refers to sample statistics (X and Y) rather than population parameters.

f. H: λ<.01 - This is a legitimate statistical hypothesis because it states a specific direction for the population parameter (lambda) related to the exponential distribution for component lifetime.

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Kate will run a total of 28 laps around the track. To find the number of laps that Kate will run, we need to divide the total distance she is running by the distance per lap.

In this case, we know that each lap around the track is 1/4 mile.

So, to find the total number of laps, we can use the following formula:

Number of laps = Total distance ÷ Distance per lap

Plugging in the given values, we get:

Number of laps = 7 miles ÷ 1/4 mile per lap

To divide by a fraction, we can invert and multiply:

Number of laps = 7 miles × 4 laps per mile

Simplifying, we get:

Number of laps = 28 laps

Therefore, Kate will complete 28 laps of the course in total.

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The expected time for completion of Activity "X" on a PERT chart is 9 hours.

PERT analysis is a project management technique that is used to evaluate and analyze the tasks involved in finishing a project. It makes use of 3 duration estimates: optimistic, pessimistic, and most likely times to calculate the expected duration of each activity. These estimates are used to analyze the critical path, slack time, and schedule of the project.

Let's calculate the expected time for completion of Activity "X" on a PERT chart using the given estimates:

Optimistic time (O) = 6 hours

Most likely time (M) = 9 hours

Pessimistic time (P) = 12 hours

Expected time (TE) = [O + 4M + P] ÷ 6= [6 + 4(9) + 12] ÷ 6= [6 + 36 + 12] ÷ 6= 54 ÷ 6= 9

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The annual rate of return is 5% and the compounding is annual. Emilio deposited $1000 at the end of each year for the first 5 years.

The accumulated amount at the end of the 5th year will be given as follows:Year 1: $1000Year 2: $1000 (1 + 5%) = $1050Year 3: $1000 (1 + 5%)^2 = $1102.50Year 4: $1000 (1 + 5%)^3 = $1157.63Year 5: $1000 (1 + 5%)^4 = $1215.51Therefore, the accumulated amount will be equal to $1000 + $1050 + $1102.50 + $1157.63 + $1215.51 = $5526.64.Emilio deposited nothing for the next 5 years, so the accumulated amount after 10 years would be the amount of $5526.64 invested for the next five years with a 5% annual rate of return and a compounding frequency of 1 per year.

Now, we can apply the formula to calculate the present value of the perpetuity, which is as follows:

Present value of perpetuity = Annual payment / Discount rate

Since we know that the discount rate is 5% and Emilio has $11,551.32, so the present value of perpetuity will be:

P = 0.05 × $11,551.32 = $577.57

Therefore, the amount Emilio will receive at the end of each year will be $577.57, which is the answer to this problem. The total number of words used in the solution is 195.

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Answer:

45 feet

Step-by-step explanation:

create a proportion of height/shadow = height/shadow

6/8 = x/60

cross-multiply:

8x = 360

x = 45

Changing the confidence level from 95% to 90% will make the necessary sample size decrease if the margin of error stays the same.

From the question, we understand that the confidence level decreases from 95% to 90%

When the confidence level decreases, the sample size increases because the standard error increases

Hence, the statement that completes the blank is decrease

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Answer:

37 degrees

Step-by-step explanation:

A triangle is 180 degrees total, so if you find what other number with 106 degrees equals 180 degrees you would get 37 degrees.

To prove that ∠STV ≅ ∠URV, we need to show that they are vertical angles, i.e., they have the same measure.

We are given that SU and RT bisect each other, so we know that angle STU is congruent to angle RUT. Also, ST ≅ UR.

Now, let's draw a line segment connecting point V to both SU and RT, creating angles STV and URV.

We can use the angle bisector theorem to determine that SV/UT = SV/UR = TV/TR.

Since ST ≅ UR, we know that SV/UT = TV/TR. Therefore, SV ≅ TV.

By the transitive property of equality, we can conclude that angle STV is congruent to angle UTV.

Similarly, we can prove that angle SVT is congruent to angle RUV using the same reasoning.

Since angle UTV is congruent to angle RUV, and angle STU is congruent to angle RUT, we can use the transitive property of equality to conclude that angle STV is congruent to angle URV.

Therefore, we have shown that ∠STV ≅ ∠URV, as required.

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Answer:

231300

Step-by-step explanation:

80% of his income his spent leaving 20% (46260)

46260 x 5 = 231300 (100% or total income)

70% income because he gave away 10% of his income

Answer:

40.82

Step-by-step explanation:

\(26 \div 2 \times 3.14 = 40.82\)

Answer:

29$

Step-by-step explanation:

191-17=174

174/6=29

Answer:

$29

Step-by-step explanation:

Answer:

Purplemath

First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.

MathHelp.com

Need a personal math teacher?

Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

​

)(x)=

g(x)

f(x)

​

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

​

Step-by-step explanation:

Purplemath

First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.

MathHelp.com

Need a personal math teacher?

Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

​

)(x)=

g(x)

f(x)

​

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

​