If each score in a set of data scores were increased by 8 points, how would this affect the mean and the standard deviation?
A) The mean would increase by 8, and the standard deviation would increase by 8.
B) The mean would increase by 8, but the standard deviation would increase by 64.
C) The mean would increase by 8, and the standard deviation would remain the same.
D) The mean would remain the same, and the standard deviation would increase by 8.

The correct answer is tan Theta = 12/5.

The task is to find the value of tan Theta given that in a position where its terminal side lies in Quadrant 3 and sine is -12/13. In the third quadrant, both sine and tangent are negative, so we expect a negative ratio for tan Theta. Since sine equals opposite over hypotenuse, we have:

sin Theta = opposite/hypotenuse = -12/13

The negative sign indicates that the opposite side is in the negative direction (downward in this case).

To find tan Theta, we'll use the Pythagorean theorem to find the length of the adjacent side:

opposite^2 + adjacent^2 = hypotenuse^2
(-12)^2 + adjacent^2 = 13^2
144 + adjacent^2 = 169
adjacent^2 = 169 - 144
adjacent^2 = 25
adjacent =  [tex]\sqrt{5}[/tex]

Because we're in the third quadrant, where the x-coordinate (adjacent side in the context of the unit circle) is negative, adjacent = -5.

Now, tan Theta = opposite/adjacent = -12/-5 = 12/5.

Therefore, the correct answer is D. 12/5.

Answer:

D

Step-by-step explanation:

I did the work its D on edge.

To simplify the given expression, we first simplify the fraction within the square root, performing the division of similar bases by subtracting exponents. Then, we take the square root of 64 to get 8 and obtain the final simplified expression: 8/x^2y.

To solve the specific expression, equivalent to StartRoot StartFraction 128 x Superscript 5 Baseline y Superscript 6 Baseline Over 2 x Superscript 7 Baseline y Superscript 5 Baseline EndFraction EndRoot, we will start by simplification inside the square root bracket. Perform the division with the fractions first. As a general rule, when dividing powers with the same base, we subtract the powers.

We'll start by simplifying 128/2, which is 64. For x Superscript 5 Baseline / x Superscript 7 Baseline, subtract the exponents, which gives us x to the power of -2 (since 5-7 is -2). For y Superscript 6 Baseline / y Superscript 5 Baseline, we also subtract the exponents, which results in y to the power of 1, or simply y.

Hence, the simplified version of the fraction inside the square root is 64x^-2y. Finally, since the square root of 64 is 8, and the square root of any variable raised to the negative power is the reciprocal of the variable, our final simplified expression is 8/x^2y.

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Final answer:

The grouping method of factoring trinomials involves separating the first and last terms of the trinomial into respective factors, and then factoring by grouping.

Explanation:

The correct answer is A. The grouping method of factoring trinomials involves separating the first and last terms of the trinomial into respective factors, and then factoring by grouping. In this method, we find two pairs of terms with common factors and group them together. Then, we factor out the greatest common factor from each pair. Finally, we factor out a common factor from the resulting binomials. Let's consider an example:

Example:

Factor the trinomial: x^2 + 5x + 6

Step 1: Separate the first and last terms: x^2 + 5x + 6 = (x^2 + 2x) + (3x + 6)

Step 2: Factor out the greatest common factor from each pair: x(x + 2) + 3(x + 2)

Step 3: Factor out a common factor from the resulting binomials: (x + 2)(x + 3)

Therefore, the factored form of the trinomial x^2 + 5x + 6 is (x + 2)(x + 3).

The expression represent the value of v is :[tex]v=\sqrt{z(w+z)}[/tex]

The correct option is D

We have the attachment.

As shown, when deconstructing the largest right triangle, we got two similar triangles.

The corresponding sides of similar are proportional. Therefore, we can write the following proportion:

v/ w+ z = z/v

By Cross - multiply, we get:

z(w + z) = [tex]v^2[/tex]

And taking the square root of both sides, we get:

[tex]v=\sqrt{z(w+z)}[/tex]

So, The correct option is D

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Answer:

x = 5/8 plz give branliest

Step-by-step explanation:

Using the equation,[tex]1 = \frac{1}{8} + x + \frac{2}{8}[/tex]

simplify 1 = x + [tex]\frac{3}{8}[/tex]

1 - [tex]\frac{3}{8}[/tex] = x

[tex]\frac{5}{8}[/tex] = x

Answer:

x = 5/8 or 0.625

Step-by-step explanation:

Rewrite the equation as 18+x+28=118+x+28=1.

18+x+28=118+x+28=1

Simplify 18+x+2818+x+28.

Tap for more steps...

x+38=1x+38=1

Move all terms not containing xx to the right side of the equation.

Tap for more steps...

x=58x=58

The result can be shown in multiple forms.

Exact Form:

x=58x=58

Decimal Form:

x=0.625

Step-by-step explanation:

- ( 9 - ( m + a ))

= -( 9 - ( 4 + 3))

= - ( 9 - (7))

= -( 9 - 7)

= - 2

Answer:

-2

Step-by-step explanation:

Open the bracket first

-(9-(m+a))

-(9-m-a)

-9+m+a

So let's substitute the value for the m and a

-9+4+3

Using BODMAS

Addition comes before substration

So

-9+4+3

=-9+7

=-2

So the final answer is-2

Answer:1.333

Step-by-step explanation:use the formula (l)(w)(h/3). L=2. H=2. W=1

Answer:

The last one, 8 / 0

Step-by-step explanation:

The last expression is undefined because in math it is forbidden to divide by zero.

Hope this helps)))

Answer:

x = 15

Step-by-step explanation:

There are theorems regarding Property of Similar polygons.

Corresponding sides are in proportion.

triangle ABE is similar to triangle ACD

so

AB:BC = AE: ED

x:10 = 9:6

(x/10) = (9/6)

x = 10*9/6 = 5*3 = 15

Answer:

40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.

Step-by-step explanation:

Given:

A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution.

Now, to find the milliliters of 10% solution and 25% solution to make 20% solution:

Let the 10% solution be [tex]x.[/tex]

And let the 25% solution be [tex]y.[/tex]

So, total milliliters of solution are:

[tex]x+y=120\\\\x=120-y\ \ \ \ .....(1)[/tex]

Now, to get the milliliters of 10% solution and 25% solution to make 20% solution we solve the equation:

[tex]10\%\ of\ x+25\%\ of\ y=20\%\ of\ 120\\\\\frac{10}{100} \times x+\frac{25}{100} \times y=\frac{20}{100} \times 120\\\\0.10x+0.25y=24[/tex]

Substituting the value of [tex]x[/tex] from equation (1) we get:

[tex]0.10(120-y)+0.25y=24\\\\12-0.10y+0.25y=24\\\\12+0.15y=24[/tex]

Subtracting both sides by 12 we get:

[tex]0.15y=12[/tex]

Dividing both sides by 0.15 we get:

[tex]y=80.[/tex]

Thus, the 25% solution is 80 ml.

Now, substituting the value of [tex]y[/tex] in equation (1) we get:

[tex]x=120-y\\\\x=120-80\\\\x=40\ ml.[/tex]

Hence, the 10% solution is 40 ml.

Therefore, 40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.

Answer:

b)1536

Step-by-step explanation:

We find the volume of a rectangular prism by using the formula Bh

or l x w x h

8x12x16=1536

brainliest plz i need one more

Answer:

B.1,536

Explanation:

length x width x height = v

12 x 8 x height = 96 x height

12 x 8 x 16 = 1536 or v

Answer:

2:5

Step-by-step explanation:

12:30 would be 40% then simplify by dividing each number by 6.

Answer:

2.5

Step-by-step explanation:

Answer:

x > 2

Step-by-step explanation:

Subtract one from both sides to get the answer above.  

To graph it, choose the open arrow pointing right and drop it over 2.  

Answer:

x>2

Step-by-step explanation:

You would simplify this as you would any other equation, which means subtract the 1 from each side to be left with x > 2

To graph this, you would use an open circle, because the sign is not greater then and equal to, it is only greater then.

Therefore, to graph it, you would have an open circle to the right on the number 2

Answer:

20

Step-by-step explanation:

N + (18 - 6) = 32

Simplify bracket

N + 12 = 32

Subtract 12 from both sides to eliminate 12 on the left side

N + 12 - 12 = 32 - 12

N = 20

Answer:

its 32 degrees

Step-by-step explanation:

w is a exterior angle which is the two interior angles sum farthest away from it. so Z+Y=W basically 100-68=32 which is y. y=32

Answer:

c 32

Step-by-step explanation:

Answer:

-2/9

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

   = (-12- -14)/(3-12)

    =(-12+14)/(3-12)

    =2/-9

   = -2/9

she ate half before adding 13 so half was 12 which means she started with 24 bear gummies

Answer:

9/25x

Step-by-step explanation:

3/5/x ×12/20

3/5×1/x ×12/20

36/100x

Divide both by 4

9/25x

The exact value of x cannot be determined because we don't know what the equation is equated to

So we will have to leave the answer as 9/25x

Answer:h=1

Step-by-step explanation:

A

Step-by-step explanation:

edge2021 Algebra

Answer: 820>n

Step-by-step explanation:

809>-11+n

Turn into regular equation

809=-11+n

Add 11 to both sides

820=n

Add inequality sign back

820>n

Answer:

You can by 16 boxes of cheez-its. You have 1 dollar left over.

Step-by-step explanation:

Divide 45 by 2.75 and you get 16.36, then multiply 2.75 by 16 to get 44.

So, you can pay 44 dollars for 16 boxes of cheez-its.

Hope this helps!!

Please mark Brainliest!

Answer:

16 boxes with 1 dollar leftover

Step-by-step explanation:

45 / 2.75 = 16.3636...

Answer:

f=127 cm

Step-by-step explanation:

Law of Cosine:

x squared=92 squared+42 squared-2(92)(42)(cos 141)

x squared =8464+1764-7728(cos 141)

x=127 cm

Answer:

Step-by-step explanation:

Represent the number of nickels and dimes by n and d.

The value of these nickels and dimes will be $0.05n + $0.10d ≤ $2.00.

The inequality of the given situation is $0.05n + $0.10d ≤ $2.00.

Given that,

Based on the above information, the inequality function is as follows:

= $0.05n + $0.10d ≤ $2.00

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Answer: B: 35ab^2c AND 7bc^2

Step-by-step explanation:

The monomials must be multiples of 7bc such as 21b^2c and 14bc^2, because the GCF of two monomials is the highest factor that divides both these monomials. GCF in this case is 7bc.

The Greatest Common Factor (GCF) of two monomials is the highest factor that divides both of these monomials. Given that the GCF is 7bc, these two monomials must have 7bc as a factor. Thus, Valerie possibly used any two monomials that are multiples of 7bc.

For example, one answer could be 21b^2c and 14bc^2. Each of these monomials has 7bc as a factor (3b, 2c, and 2b, 2c respectively). There are other possible combinations, as long as they're multiples of 7bc.

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The storage tank requires an additional 4,640 gallons of water to be filled to the top, calculated by finding the total tank capacity using the 20% already filled and subtracting the current water volume.

The student asks about the amount of water needed to fill a storage tank to the top given that the tank is already 20% full with 1,160 gallons of water. To find out how much more water is required, we first need to establish the total capacity of the tank.

Since 1,160 gallons represent 20% of the tank's capacity, we can calculate the full capacity by dividing the amount of water currently in the tank by 0.2. After finding that number, we need to subtract 1,160 from the total capacity to find the amount of water needed to fill the tank.

Calculation:

1. Calculate the full capacity of the tank:
Total capacity = 1,160 gallons / 0.20 = 5,800 gallons.

2. Calculate the gallons of water needed to fill the tank:
Gallons needed = Total capacity - Current amount of water
Gallons needed = 5,800 gallons - 1,160 gallons = 4,640 gallons.

Therefore, 4,640 gallons of water are needed to fill the storage tank to the top.

Answer:

5-7  5+7     5=7

Step-by-step explanation:

dont know what you mean

Answer:-47

Step-by-step explanation:

Because minuse +minuse is equal to pluse so we will add both equations