Noah is studying a type of sea sponge that grows at a constant rate. They measured the age and height of 333 pieces of the sponge. Here's what they found:

Number of students need to be sampled = 610

A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.

Standard Deviation, σ = 6.3

Margin Error of population mean, E = 0.5

Probability = 95% = 0.95

The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975

The z-score corresponding to this p-value = 1.96 [from the z-tables]

Now, The margin error, E = zσ/√n, where n is the sample size

⇒ n = (zσ/E)²

⇒ n = (1.96 x 6.3/0.5)²

⇒ n ≈ 610

Hence 610 students need to be sampled.

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Answer:

34.1%, D

Step-by-step explanation:

To convert a number into a percent, you multiply it by 1, or more precisely, 100%. 100% can be thought of as 100 * 1%
0.341 * 100 * 1 %   = 34.1%

Answer:

Step-by-step explanat

Step-by-step explanation:

what I understood :

line s : y = -10x + 5/4

the slope is always the factor of x (here : -10).

a parallel lines must have the same slope.

line t : y = -10x + b

to get b we use the coordinates of the given point :

3 = -10×1 + b = -10 + b

13 = b

line t : y = -10x + 13

After applying the given translation we get the function as 3x + 5

Graph translation is the process of converting an equation or existing graph into a new graph.

One common type of algebraic issue is changing algebraic equations.

A parent function's graph is altered by a translation. The three different types of translation are dilations, reflections, and translations.

A function can have its y-values modified vertically or its x-values changed horizontally (affects the x-values).

We are aware that the x- and y-coordinates must be modified to reflect the translation by the specified amount.

f( x ) = 3x is translated 5 units upwards.

Therefore the required graph is f ( x ) = 3x + 5 .

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Answer:

y= 2x + 9

Step-by-step explanation:

Answer: 4x^2 - 4xy + y^2 and the second one 9x^2 + 12x - 5

I hope this helps

Answer:

-170

Step-by-step explanation:

we are withdrawing so minus from original amount

The total e-waste generated over these two years in the region, expressed in scientific notation, is B. 2.49 x 10^7 tons.

Scientific notation is a standard form of expressing a short or large number in a decimal form.

Scientific notation involves writing a number that is greater than 1 but less than 10 with the power of 10.

Correct scientific notations express numbers as products of a number between 1 and 10 multiplied by an appropriate power of 10 based on its place value in the given decimal.

Thus, the total e-waste generated cannot be expressed in scientific notation as Options A, C, or D because these do not comply with the rules of scientific notations, unlike Option B.

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Answer: y = 4/3 x - 5

Step-by-step explanation: trust me

Answer: -3/4>-11/12

Step-by-step explanation:

its a negative so there's more of the -3/4 than the -11/12 because the -11/12 is 2 more units below the -3/4

Answer:2 blocks

Step-by-step explanation:

because  just trust me

Answer:

No

Step-by-step explanation:

Using a graph typing in 9x and looking at the table, (2,1) is not on the table, so (2,1) is not a solution to 9x

Answer:

No

Step-by-step explanation:

to determine if (2, 1 ) is a solution, substitute the x- coordinate into the equation and if the result is equal to the y- coordinate then it is a solution.

y = 9x ( substitute x = 2 )

y = 9 × 2 = 18 ≠ 1

then (2, 1 ) is not a solution to the equation.

The answer is A because it's a non-recurring decimal.

Answer:

yes

Step-by-step explanation:

it would form a acute triangle.

Answer: 196.5 lbs

Step-by-step explanation:

[tex]237-9(4.5)=196.5[/tex]

Number of biology book sold are 223.

Number of psychology books sold are 183.

In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities.

Given Data

A textbook store sold a combined total of 392 biology and psychology textbooks in a week. the number of psychology textbooks sold was 48 less than the number of biology textbooks sold.

Let number of biology books sold be x

Let number of psychology books sold be (x- 48)

Total book sold = 392

392 = x + x - 48

392 + 48 = 2x

446 = 2x

x = 223

Number of biology book sold are 223.

Number of psychology books sold are 183.

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Answer: y = -4x + 11

Step-by-step explanation:

y = mx + b

3 = -4(2) + b

3 = -8 + b

11 = b

A graph of the image of figure Q'R'S'T' after a dilation of 2 units about the origin is: graph C.

Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as triangles.

Note: Each interval on this graph represents 1 unit.

For the given coordinates, the dilation with a scale factor of 2 about the origin or a center of dilation (0, 0) should be calculated as follows:

Point Q (-2, -1) → Point Q' (-2 × 2, -1 × 2) = Point Q' (-4, -2).

Point R (-1, 2) → Point R' (-1 × 2, 2 × 2) = Point R' (-2, 4).

Point S (1, 0) → Point S' (1 × 2, 0 × 2) = Point S' (2, 0).

Point T (2, -2) → Point T' (2 × 2, -2 × 2) = Point T' (4, -4).

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Answer:

32

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

2x + 5 = 15

2x5=10

5+10=15

Hopes this helps

Answer:

x = 5

Step-by-step explanation:

2x + 5=15       Set up equation

2x= 15-5         Put like terms together

2x= 10            Subtract like terms

x= 10/2           Isolate and divide

x= 5                Answer

The correct solution to the equation is -13.

-12x + 12 = -3(5x + 8)

Split the right-hand side,

-12x + 12 = -15x + 24 (This line have error, instead of + there will be - )

Shifted the values of x to the left-hand side and the constant values to the right-hand side,

3x + 12 = 24

3x = 12

x= 4, which is the incorrect value of x.

The correct solution to the equation,

-12x + 12 = -3(5x + 8)

Split the right-hand side,

-12x + 12 = -15x - 24

Shift the values of x to the left-hand side and the constant values to the right-hand side,

3x = -36

The final value of x,

x = -13

Therefore, the value of x is -13.

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Answer:

see explanation

Step-by-step explanation:

(4)

6 = hj + k ( subtract k from both sides )

6 - k = hj ( isolate j by dividing both sides by h )

[tex]\frac{6-k}{h}[/tex] = j

(5)

[tex]\frac{v}{w}[/tex] = 9 ( multiply both sides by w to clear the fraction )

9w = v ( divide both sides by 9 )

w = [tex]\frac{v}{9}[/tex]

(8)

A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by h )

[tex]\frac{2A}{h}[/tex] = b

(10)

V = [tex]\frac{1}{3}[/tex] πr²h ( multiply both sides by 3 to clear the fraction )

3V = πr²h ( isolate h by dividing both sides by πr² )

[tex]\frac{3V}{\pi r^2}[/tex] = h

(12)

V = πr²h ( isolate r² by dividing both sides by πh )

[tex]\frac{V}{\pi h}[/tex] = r² ( take square root of both sides )

[tex]\sqrt{\frac{V}{\pi h} }[/tex] = r

Answer:

the answer is y<-17

Step-by-step explanation:

This is actually just like algebra.

y+8<-9

y<-9-8

y<-17

The number of times Darlene mow her lawn before she needs more gasoline is equal to 18times.

As given in the question,

Total gasoline with Darlene is equal to 6 3/4 gallons

Convert mixed fraction into proper fraction:

6 3/4 = 27/4 gallons

Every time amount of gasoline used to mow her lawn = 3/ 8gallon

Number of times Darlene mow her lawn before she needs more gasoline

= (27 / 4) ÷ (3 /8)

= (27 /4) × (8/3)

= 18 times

Therefore, the number of times Darlene mow her lawn before she needs more gasoline is equal to 18times.

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Answer:

1953.125

Step-by-step explanation:

(12.5)³

= 12.5 × 12.5 × 12.5

= 1953.125

Answer: 1953.125

(12.5)³

so 12.5 multiplied to itself thrice

12.5x12.5x12.5

which is 1953.125