1. Which of the following descriptive statistics is
LEAST affected by extreme values?
A. Mean
B. Median
C. Standard deviation
D. Range

Answer:

for 12% it would be $3,000

And, for 6% it would be $2,000

Step-by-step explanation:

The computation of the amount invested at each rate is shown below:

Let us assume the amount invested at 12% be x

So, the $5,000 - x be invested at 6%

The total interest earned is $480

So the equation would be

0.12x + 0.06($5,000 - x)  = $480

0.12x + $300 - 0.06x = $480

0.06x = $80

x = $3,000

So for 12% it would be $3,000

And, for 6% it would be $2,000

Answer:

I believe it is: 6n+8+7y+4m

Step-by-step explanation:

You can't do anything about the numbers with variables afterwards, so you just list those and you just add and subtract the numbers without variables.  Since the top and bottom are the same, you just list it once.  Sorry, not the best explanation.  Please let me know if I am wrong.  It's been a while since I had to any type of algebra.

Answer:

$19

Step-by-step explanation:

this is the answer

Answer: 4 Chocolates

Answer:

56

Step-by-step explanation:

to find the answer, divide 42 by 6/8

42 x 8/6 = 56

Answer: $‭373.08‬

Step-by-step explanation:

First find out what she earned from her normal wages.

She is paid $6.25 per hour for 30 hours in a week. Her weekly pay is therefore:

= 6.25 * 30

= $187.50

She then gets 8% of her sales as commission. Her commission is therfore:

= 8% * 2,319.75

= $‭185.58‬

Her gross pay is therefore:

= Weekly pay + Commission

= 187.50 + 185.58

= $‭373.08‬

Answer:

if you use Newton's 2nd rule:

F = m* a (force = mass * acceleration)

you can rearrange the terms to:

a = F/m (acceleration = Force/mass)

which will let you solve for acceleration.

Answer:

Dotted line

Step-by-step explanation:

when using the > or < symbols you put a dotted line because the line is not included in the shaded area.

If the symbols were a < or a > you would put a solid line.

Answer:

Please refer to the attached image.

Answer:

Step-by-step explanation:

Plug the first equation into the second

[tex]4x+3(-2x-5)=15\\4x-6x-15=15\\-2x=30\\x=-15[/tex]

y=-2(-15)-5

=30-5

=25

Answer:

Length, l = 10 m, breadth = 8 m

Step-by-step explanation:

Let l be the length and b be the width of the rectangle.

The area of a rectangle is given by :

A = lb

80 = lb ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

36 = 2(l+b)

18 = (l+b) ....(2)

We need to solve equation (1) and (2). On solving we get :

l = 10, b = 8

So, the dimensions of the shop is 10 m and 8 m.

Answer:

the answer is 200 mph because you take and divide the 400 miles by 20 mph

Step-by-step explanation:

Answer:

¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?

Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800

Step-by-step explanation:

x : Número de DVD del modelo A

y : Número de DVD del modelo B.

                               MODELO A MODELO B TOTAL

Cantidad de caucho                  1x 1x                 50 kg.

Horas de mano de obra           1x 2x                 80 horas

U : Utilidad mensual.

La función objetivo, que se debe maximizar, es:

U=30   + 40y

x+ y [tex]\leq 50\\[/tex]  

x + 2y [tex]\leq 80[/tex]

x[tex]\geq 0[/tex]

y[tex]\geq 0[/tex]

Las coordenadas de los vértices de la región factibles son:

A (0, 0) B (50, 0) C (20, 30) D(0, 40)

Entonces, se evalúa la función objetivo en cada punto:

U (0, 0) = 30 (0) + 40 (0) = 0

U (50, 0) = 30 (50) + 40(0) = 1500

U (90, 0) = 30 (20) + 40 (30) = 1800

U (0, 40) = 30 (0) + 40 (40) =1600

Por consiguiente U tiene un valor máximo en C , en donde: x =20 ,  y = 30 .

Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800.

 30 x  40 y

s.a.



   x  0 (3)

  y  0 (4)

Answer: no

Step-by-step explanation: if the y values are the same they are not functions. :) (ps, x values can be the same in a function!)

Answer:

no :)

Step-by-step explanation:

because (2,23) and (3,23) have the same y function

hope this helps!

Answer:

( 10,-7)

i didn't understand what u wrote in choice

The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

here, we have,

The points that are given to us are R(-2,3) and T(4, -2).

The point T is the mid point of the line segment RS.

If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,

M = ((a+c)/2), ((b+d/2))

So, using the above modified form of section formula we can find the coordinates of the point S.

Assuming point S to be x and y.  

So, putting all the values,

(4, -2) = ((-2+x)/2), ((3+y/2))

Now, solving further, we get,

-1+x/2 = 4

-2+x = 8

x = 10

And,

3 + y = -4

y = -7

So, the coordinates are (10, -7).

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Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

The percent of carbon-14 released each year will be 50.

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The equation is given below.

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]

Where 'a' is the initial amount (in grams) and 't' represents the number of years.

The equation is also written as,

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]

The percent of carbon-14 released each year will be 50.

More about the exponent link is given below.

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Answer:

Slope = -2

Step-by-step explanation:

y2-y1/ x2-x1

Answer:

1/32

Step-by-step explanation:

Anything to the power of 0 is 1.

1*x^-5 (negative power means the reciprocal)

1/2^5 = 1/32

1*1/32=1/32

When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.

First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.

Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.

Substituting x = 2, we have 1 / 2⁵.

Now, we can simplify the expression:

1 / 2⁵ = 1 / 32 = 0.03125

Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

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Answer:

The value of y = 7.5 and the scale factor is 2/3.

Step-by-step explanation:

To get the scale factor, let's get the ratio of 17 to 25

[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]

To check if 17 really is the 2/3 of 25.5

[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]

Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).

[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]

Answer:

7ab (a+b)(a-b)

Step-by-step explanation:

Answer: 1,320 cl

Step-by-step explanation:

Water and orange squash are mixed in the ratio 11 : 2.

This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.

If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.

11     :    2

x     :     240

Cross-multiply:

2x = 11 * 240

x = 2,640 / 2

= 1,320 cl

Answer:

To find the next number in the sequence, multiply the number before by 2.

By this logic, numbers 4-8 in the sequence would be 152, 304, 608, 1,216, and 2,432

Thus, the 8th term is 2,432

Answer:

d) centimeters

cat average height is 23-25 cm

if you would write it in meters it would be 0.23-0.25 m

in mm 230-250mm

Its just the most convinient

Answer:

765.437 grams

Step-by-step explanation:

as 1 ounce =28.35g

so

27ounce=28.35×27

=765.437

Converting 27 ounces into grams is: 765.437grams.

Here, we have,

given that,

we have to Convert 27 ounces into grams.

we know that,

Since 1 ounce is equal to 28.35 grams.

so, we get,

1 ounce=28.35 grams

all we need to do is to multiply 27 by 28.35 grams.

i.e. 28.35×27 =765.437

The answer will be 765.437grams.

so, we get,

as 1 ounce =28.35g

so, 27ounce=28.35×27 =765.437g

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Answer:

-4

Step-by-step explanation:

as x goes up one y goes down 4

slope is change in y over change in x

-4/1=-4

The slope of the linear function represented by the table is -6.

To find the slope of the linear function represented by the table, we can use the formula for slope:

Slope (m) = (change in y) / (change in x)

Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):

(change in y) = -16 - 2 = -18

(change in x) = 2 - (-1) = 3

Slope (m) = (-18) / (3) = -6

Therefore, the slope of the linear function represented by the table is -6.

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Answer:

36.2

Step-by-step explanation:

Answer:

36.20

Step-by-step explanation:

it's basiclaly another word for 1 decimal place. 9 is bigger than 5 so it rounds 1 to 2.

Answer:

=76

Step-by-step explanation:

24+(−9)(−4)+33−17

=24+36+33−17

=60+33−17

=93−17

=76