Write 5.92 x 10^5 in standard notation

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

[11.906 ; 12.894]

Step-by-step explanation:

Given :

Sample mean, xbar = 12.4

Sample standard deviation, s = 1.7

Sample size, n = 48

We use the T distribution since we are using the sample standard deviation;

α - level = 95% ; df = n - 1 = 48 - 1 = 47

Tcritical = T(1 - α/2), 47 = 2.012

Using the confidence interval for one sample mean

Xbar ± Tcritical * s/√n

12.4 ± (2.012 * 1.7/√48)

12.4 ± 0.4936922

C. I = [11.906 ; 12.894]

Answer:

Step-by-step explanation:

60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours

The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Answer:

I think that answer is C i believe

floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

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The number of children that would usually be around at the Nursery on Monday are; 24 Children

We are given;

Percentage of children that were absent = 34%

Number of children that attend on Monday = 29

Thus;

Number of children that are absent on Monday = 34% * 29

Number of children that are absent on Monday ≈ 10

Thus;

Number of children that would be around on Monday = 34 - 10 = 24 children

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Answer: Maybe if you post the question

Step-by-step explanation:

Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.

Answer:

none of this makes sense

Step-by-step explanation:

jim

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

Answer:

Step-by-step explanation:

qiofuqbfqobdbdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

Step-by-step explanation:

48-5+ 2x -7 -54 ABE 39. - x=2. 66 - 12 = 54. BC, 15. AB=5 =BC. 6x = 66. - They are. XH. Not. 2) Find the coordinates of the midpoint of the segment with the given endpoints. ... j) Concurrency of Perpendicular Bisectors of a Triangle Theorem: ... Find AE. 40. Find AD. 76. 76. Sy + 20. Find BC. 54. Find AC. 80. Find CD. 76.

The answer choice that matches our estimate is (5/2, 4/3).

We can graph both equations on the same coordinate plane and find where they intersect to estimate the solution to the system of equations 3x + 5y = 14 and 6x - 4y = 9. The intersection point will serve as our best guess for the solution.

To begin graphing the first equation, we can find its intercepts:

When x = 0, we have 3(0) + 5y = 14, resulting in y = 14/5.

When y = 0, we have 3x + 5(0) = 14, resulting in x = 14/3.

The intercepts are therefore (0, 14/5) and (14/3, 0).

When we plot these points and draw a line through them, we get:

    |

3   |       .

    |  

2   |    

    |    

1   |    .

    |      

0   |.__________________

     0     1     2     3

Let us now graph the second equation. Its intercepts can be found in the same way:

When x = 0, we get 6(0) - 4y = 9, resulting in y = -9/4.

When y = 0, we have 6x - 4(0) = 9, resulting in x = 3/2.

The intercepts are therefore (0, -9/4) and (3/2, 0).

When we plot these points and draw a line through them, we get:

 |

3   |  

    |  

2   |    

    |      

1   |    .

    |      

0   |._______

     0     1     2     3

We can now see that the two lines intersect at about (5/2, 4/3). As a result, our solution estimate is (5/2, 4/3).

As a result, the answer choice that corresponds to our estimate is (5/2, 4/3).

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Answer:

Katie got to school at 4:30

Step-by-step explanation:

Answer:

4:30 pm

Step-by-step explanation:

She left at 4:00. In the question it says that it took 30 minutes to get there, and 30minutes after 4:00 pm is 4:30pm.

Complete question is;

A researcher studying public opinion of proposed Social Security changes and asks a random sample of 30 adult Americans whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond​ yes, is approximately​ normal, how many adult Americans does the researcher need to sample in the following​ cases

(a) if 37​% of all adult Americans support the changes?

(b) 25% of all adults Americans support the changes?

Answer:

A) 13 adults

B) 23 adults

Step-by-step explanation:

A) We are given;

p = 37% = 0.37

Since we are told that this is an approximately normal distribution, we will use the formula;

np(1 - p) ≥ 10

Thus;

0.37n(1 - 0.37) ≥ 10

n ≥ 10/(0.63 × 0.37)

n ≥ 42.9

We need a whole number, thus n = 43

From the question, we have already 30 adults , so the required number of adults are; 43 - 30 = 13 adults

B) We are given;

p = 25% = 0.25

Since we are told that this is an approximately normal distribution, we will use the formula;

np(1 - p) ≥ 10

Thus;

0.25n(1 - 0.25) ≥ 10

n ≥ 10/(0.75 × 0.25)

n ≥ 53.33

n ≈ 53

From the question, we have already 30 adults , so the required number of adults are; 53 - 30 = 23 adults

Answer:

It will take him 7 ½ days.

Step-by-step explanation:

He goes up 2 ½ but falls back down ½ so you take the two and do 15/2 and get 7.5 which is 7 ½ days.

Answer:

\(P(Green\ candy\ or\ Blue\ candy) = 0.16\)

Yes, they are mutually exclusive

Step-by-step explanation:

Given

Refer to the table in the question

Solving (a): P(green candy or blue candy)

This is calculated as:

\(P(Green\ candy\ or\ Blue\ candy) = P(Green) + P(Blue)\)

From the question:

\(P(Blue) = 10\%\)

\(P(Green) = 6\%\)

So:

\(P(Green\ candy\ or\ Blue\ candy) = P(Green) + P(Blue)\)

\(P(Green\ candy\ or\ Blue\ candy) = 6\% + 10\%\)

\(P(Green\ candy\ or\ Blue\ candy) = 16\%\)

Convert to decimal

\(P(Green\ candy\ or\ Blue\ candy) = 0.16\)

Solving (b): Are they mutually exclusive?

Multiple events A and B are mutually exclusive if;

\(P(A\ or\ B) = P(A) + P(B)\)

In (a) above:

\(P(Green\ candy\ or\ Blue\ candy) = P(Green) + P(Blue)\)

and this is so every other possible colour of candy

e.g.

\(P(Red\ or\ Yellow) = P(Red) + P(Yellow)\)

Hence:

The events are mutually exclusive

Answer:

Apigy 60918370927710 paojzob pour ta life yzs 029282728

Answer: X=45

Step-by-step explanation:

Answer:

-43.5

Step-by-step explanation:

After 15 second he would have swam to a level of -43.5.

The percent of her goal has she achieved so far is 60%.

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).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Number of book in year=30

Number of book till now=18

To find the percentage of her goal that Mrs. Wagner has achieved so far, we can use the following formula:

Percentage = (Achieved / Goal) x 100%

where Achieved is the number of books Mrs. Wagner has read so far, and Goal is her total goal of reading 30 books this year.

Plugging in the given values, we get:

Percentage = (18 / 30) x 100%

Percentage = 0.6 x 100%

Percentage = 60%

Therefore, by the given data the percent will be 60%.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

We have,

The volume of the can = The volume of the cylinder - The volume of the three tennis balls.

The volume of the cylinder.

V(cylinder) = πr²h

where r is the radius and h is the height of the cylinder.

Since the can holds three tennis balls snugly, the height of the cylinder is equal to three times the diameter of a tennis ball.

= 3 × 2(3.5 cm)

= 21 cm.

V(cylinder)

= π (3.5 cm)² (21 cm)

= 2709.38 cm³

The volume of one tennis ball.

V (ball) = (4/3)πr³

where r is the radius of the tennis ball. Thus,

V(ball) = (4/3)π(3.5 cm)³ = 179.594 cm³

The total volume of the three tennis balls is:

V(3balls) = 3 V(ball)

= 3(4/3) π (3.5 cm)³

= 538.782 cm³

The volume of the can not be occupied by tennis balls.

V(not occupied) = V(cylinder) - V(3 balls)

= 2709.38 - 538.782

= 2170.598 cm³

The percentage of the can that is not occupied by tennis balls.

percentage = (V(not occupied / V(cylinder)) × 100%

= (2170.598 cm^3/2709.38 cm^3) × 100%

= 80.14%

Therefore,

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

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Answer: the answer is about 1,2.

Answer:

Mean=2.1

Median=2

Mode=1,2, and 3

Range=5

Step-by-step explanation:

Mean is all the numbers added up and then divided by the amount of numbers there are, so 0+1+0+2+3+1+3+5+4+2=21, and then 21 divided by 10=2.1

Median is lining all the numbers up least to greatest and then finding the middle number, which is 2.

Mode is the number that appears the most, and since 1,2,3 all appeared twice in the data, they are the mode.

Range is the highest number in the data subtracted by the lowest number in the data, so 5-0=0

(hope this helps!)

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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The linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch is C(x) = 44x + 22

Using the slope-intercept form (y = mx +b),

The delivery charge of $22 is a constant and will represent the y-intercept.

The $44 per cubic yard of mulch will represent the slope.

Therefore,

C(x) = 44x + 22

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