A pharmacist weighed eight different capsules of the same compound and recorded these measurements: 2312 mg, 2313 mg, 2315 mg, 2321 mg, 2325 mg, 2310 mg, 2320 mg, and 2319 mg. What is the median measurement? What is the mean measurement?

Answer:

Square root of 16 = 4

Square of 16 = 256

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

X=11 because 90-43+5x-8 so 5•11=55-8 =47 90-43=47

Complementary means the angles together would equal 90°. Supplementary means the angles would equal 180°.

Using Complementary angles:

5x-8+43=90 Combine -8 and 43 = 35

5x+35=90

-35 -35

5x=55

Divide each side by five

x=11

Answer:

The perimeter is equal to [tex]16\ units[/tex]

Step-by-step explanation:

we have that

[tex]A(-1,1),B(2,5),C(5,1)[/tex]

The perimeter of triangle ABC is equal to

[tex]P=AB+BC+AC[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

step 1

Find the distance AB

[tex]A(-1,1),B(2,5)[/tex]

[tex]AB=\sqrt{(5-1)^{2}+(2+1)^{2}}[/tex]

[tex]AB=\sqrt{(4)^{2}+(3)^{2}}[/tex]

[tex]AB=\sqrt{25}[/tex]

[tex]AB=5\ units[/tex]

step 2

Find the distance BC

[tex]B(2,5),C(5,1)[/tex]

[tex]BC=\sqrt{(1-5)^{2}+(5-2)^{2}}[/tex]

[tex]BC=\sqrt{(-4)^{2}+(3)^{2}}[/tex]

[tex]BC=\sqrt{25}[/tex]

[tex]BC=5\ units[/tex]

step 3

Find the distance AC

[tex]A(-1,1),C(5,1)[/tex]

[tex]AC=\sqrt{(1-1)^{2}+(5+1)^{2}}[/tex]

[tex]AC=\sqrt{(0)^{2}+(6)^{2}}[/tex]

[tex]AC=\sqrt{36}[/tex]

[tex]AC=6\ units[/tex]

step 4

Find the perimeter

[tex]P=5+5+6=16\ units[/tex]

Answer:

The answer is 16 untis

Step-by-step explanation:

Answer: Second Option

20%

Step-by-step explanation:

We have 5 red marbles, 8 blue marbles and 12 green marbles in a bag.

In total there are 5 + 8 + 12 = 25 marbles

This means that the experiment "get a marble out of the bag" has 25 possibilities.

Then, the chances of getting a red marble are 5, because there are 5 red marbles.

Finally the probability of drawing a red marble is:

[tex]P_{red} = \frac{5}{25}\\\\P_{red} = \frac{1}{5}\\\\P_{red} = 0.20[/tex]

[tex]P_{red} =20\%[/tex]

Human:

✧･ﾟ: *✧･ﾟ:*  Answer:  *:･ﾟ✧*:･ﾟ✧

✅ 20%

I WOULD APPRECIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

Answer:

81% of 403 is.....326.43! (Rounding it to the nearest hundred gives '326')

Step-by-step explanation:

(P= Percentage / X= The number your finding the percentage of...)

Formula : X = P% * X

X = 81% * 403

Converting percent to decimal:

Converting percent to decimal:p = 81% ÷ 100 = 0.81

X = 0.81 x 403

X = 326.43

Answer:

Step-by-step explanation:

[tex]h(x)=-0.5(x^2-4x-21)\\\\\text{The zeros for}\ h(x)=0:\\\\-0.5(x^2-4x-21)=0\qquad\text{divide both sides by}\ -0.5\\\\x^2-4x-21=0\\\\x^2+3x-7x-21=0\\\\x(x+3)-7(x+3)=0\\\\(x+3)(x-7)=0\iff x+3=0\ \vee\ x-7=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3<0\\\\x-7=0\qquad\text{add 7 to both sides}\\x=7[/tex]

Given the point (9,2) is on the graph of f(x), the corresponding point for the function f(-3/4x) is found by multiplying the x-coordinate of the given point by -3/4. This yields the corresponding point (-6.75, 2).

The given point is (9,2). In the function f(-3/4x), the variable is multiplied by the factor -3/4. We apply this factor to the x-coordinate of the given point to find the x-coordinate of the corresponding point in the function f(-3/4x).

Therefore, the x-coordinate of the corresponding point is 9×-3/4 = -27/4 = -6.75. The y-coordinate remains the same because the transformation corresponds only to the x-coordinates of points. So, the corresponding point in the function f(-3/4x) is (-6.75,2).

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The missing length of the missing side is x+1.

To find the perimeter of this object, we need to know hat perimeter truly means.

Perimeter-The sum of all the sides.

The sides from the trapezoid are 3x+1, x , and x.

We combine like terms, so 3x + x + x = 5x

1 is the only number.

We are left off with 5x+1. Our objective is to get 6x+2.

How do we get there? We add 1x or x (1x and x) are the same thing, and we add one.

5x+1 + 1x + 1 = 6x+2;

Therefore the renaming length of the missing side is 1x+1.

Please give this the brainliest or give this a heart. If you need further help, please contact me on messages or on Instagram.

@jessmyybest

Answer:

x + 1

Step-by-step explanation:

Is that a lone x on the left hand side? I will assume so.

Let y be the value of the side marked with a ?.

x + 3x + 1 + x + y = 6x + 2     collect the like terms on the left.

5x + 1 + y= 6x + 2                  Subtract 1 from both sides.

5x + 1-1 +y = 6x + 2-1             Combine

5x + y = 6x + 1                        Subtract 5x from both sides.

5x-5x + y = 6x -5x +1             Combine

y =x + 1

The missing side is x +1

Answer:

A

Step-by-step explanation:

-3x²y² × y⁴x³

When multiplying, add the exponents:

-3x⁽²⁺³⁾y⁽²⁺⁴⁾

-3x⁵y⁶

Answer is A.

Answer:

Step-by-step explanation:

[tex]-3x^2y^2\cdot y^4x^3=(-3)(x^2x^3)(y^2y^4)\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=(-3)(x^{2+3})(y^{2+4})\\\\=-3x^5y^6[/tex]

14 servings. 67 divided by 3 is around 22. 3 divided by 2 is 1.5. 22 divided by 1.5 is decimals over 14.

Answer:

You can have two answers, but the most likely is 15, if the answer can be 14 but if the question says that round the nearest number is 15

8 times 2/3 is 16/3, which when simplified is 5 1/3

To evaluate 8(2/3), you need to multiply 8 by 2/3. The value of 8(2/3) is 16/3.

To evaluate 8(2/3), you need to multiply 8 by 2/3. To do this, you can simplify 2/3 by dividing both the numerator and denominator by their greatest common factor, which is 1.

This simplifies 2/3 to 2/3. Then, multiply 8 by 2/3 to get the final answer.

Therefore, the value of 8(2/3) is 16/3.

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Answer:

The answer would be m= -9

Step-by-step explanation:

6(9-m)

You will multiply the 6 with the 9 and -m inside of the parenthesis

54-6m

Divide by -6 on both sides and you will get m= -9

I hope this helps you with this question and have a nice weekend

The equivalent expression to 6(9 - m) is 54 - 6m, determined by applying the distributive property of multiplication over addition and subtraction.

The expression given is 6(9 - m). To identify an expression equal to this, we should look for expressions that maintain the same relationship between the numbers and the variable m. When we distribute the 6 across the parentheses, we multiply 6 by 9, and 6 by -m, resulting in 54 - 6m.

Distributing a number across a subtraction in a parenthesis follows the distributive property of multiplication over addition and subtraction, which allows us to multiply each term inside the parentheses by the number outside.

Answer:

80π feet/ second.

Step-by-step explanation:

Angular velocity of a point = 10π radians per second

Radius of the circle is 8 feet.

We know the formula of angular velocity is

Angular velocity = [tex]\frac{speed}{radius}[/tex]

10π = [tex]\frac{speed}{8}[/tex]

Speed = 80π feet/ second.

Option C is the answer.

Answer: [tex]80\pi\text{ ft/sec}[/tex]

Step-by-step explanation:

Formula : [tex]\text{Speed= Angular velocity x Radius}[/tex]   (1)

We are given that , The angular velocity of a point with radius 8 feet is 10 pi radians per second.

i.e. Radius = 8 feet

Angular velocity = [tex]10\pi[/tex] radians per second.

Then, the speed of the point will be :-

[tex]\text{Speed= }10\pi \times 8[/tex]   [using (1)]

[tex]=80\pi\text{ ft/sec}[/tex]

Hence, the speed of the point [tex]=80\pi\text{ ft/sec}[/tex]

Answer:

12.5, not 100% sure though.

Answer:

Step-by-step explanation:

12.5 is right.  Because it say similar to triangle XYZ

The answer to your question is this:

[tex]y + 5\leq 28\\y\leq 23[/tex]

Sorry, I didn't fully understand your initial question. I'll answer it now.

A quick and easy equation you can always use is y = -x + 2

Put one point on (0, 2) and put another point on (2, 0) (since a slope of 2/2 would cancel out) Then connect the points, and you're done.

Y=-x+2 is an equation that you can use

Answer:

a.0

Step-by-step explanation:

The exponential function levels at 0

Please give brainliest

Answer:

x=61

Step-by-step explanation:

X=61

Because (52+67)-180=61

For this case we have that by definition, the volume of a regular prism is given by:

V = B * h

Where:

B: It is the area of the base

h: It is the height of the prism

We have to:

[tex]B = 2 * 2 = 4 \ cm ^ 2\\h = 1 \frac {2} {3} = \frac {3 * 1 + 2} {3} = \frac {5} {3}[/tex]

Thus, the volume will be:

[tex]V = 4 * \frac {5} {3}\\V = \frac {20} {3} \ cm ^ 3[/tex]

ANswer:

[tex]V = \frac {20} {3} \ cm ^ 3[/tex]

Answer:

The answer is b and c

hope this helps!

Step-by-step explanation:

Answer:

The answer is 7/8 chance.

Step-by-step explanation:

To find this answer, you have to divide the blue marbles by red marbles. Then, you will get 28/32.

You can simplify it, so simplify it to the smallest possible number, therefore getting 7/8.

Answer : 28 units

the shorter side lengths both equal 5 units so that would be 5+5=10

the longer side lengths both equal 9 units so that would be 9+9=18

18+10=28 units

Answer:

The correct answer would be 28 units.

Step-by-step explanation:

the length of the recktangle is 9. There are two sided with 9 so you would add 9+9. The height of the rectangle is 5 and there are two heights. You add 5+5 then you add 18 witch is the sum of 9+9 and you get 28.

I hope this helps.

Have a good day

<3 C.J

Answer:

B.. skewed left

Step-by-step explanation:

Answer:

Option B. skewed left.

Step-by-step explanation:

In the figure attached maximum frequency of the data is at the 45. Distribution on the right side of the maximum frequency is upto 48 and in the left it is upto 36.

As we can see point 36 is more distant from peak point 45 as compared to point 48.

Therefore, distribution of the data is more in the left than in the right.

Therefore, the shape of this distribution is skewed left.

Option B. skewed left is the correct answer.

Answer:

[tex]\large\boxed{z=\dfrac{15\sqrt3}{2}[/tex]

Step-by-step explanation:

Lookat the picture.

We have

[tex]2a=15\to a=\dfrac{15}{2}\to a\sqrt3=\dfrac{15\sqrt3}{2}[/tex]

small triangle:

[tex]x=2a=\dfrac{15}{2}\to a=\dfrac{15}{4}\to y=\dfrac{15\sqrt3}{4}[/tex]

[tex]a+b=15\to b=15-\dfrac{15}{4}=\dfrac{60}{4}-\dfrac{15}{4}=\dfrac{45}{4}[/tex]

[tex]a=\dfrac{15}{4}\\\\b=\dfrac{45}{4}\\\\x=\dfrac{15}{2}\\\\y=\dfrac{15\sqrt3}{4}\\\\z=\dfrac{15\sqrt3}{2}[/tex]

2. 135 grams is your answer

The mass of the baseball is 146 grams.

Mass refers to the weight of an object. It is measured in grams (g) and kilograms (kg).

According to question we have a spherical ball of radius 1.47 inches and density of ball is 11g/cubic inch.

We know that density  = mass/volume                   ...............(i)

Volume of sphere is given by

Volume = 4π(radius)³/3

volume = 4π(1.47)³/3

volume = 13.3057 inches³ By (i)

  mass = density x volume

  mass = 11 x 13.3057mass

            = 146.36g

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Answer:

D, (-6,-2)

Step-by-step explanation:

the first quadrant of a coordinate plane has the x coordinate being a negative number, and the y coordinate being a positive number

the second quadrant of a coordinate plane has the x and y coordinates being a positive number

the third quadrant of a coordinate plane has the x and y coordinates being a negative number

the fourth quadrant of a coordinate plane has the x coordinate being a positive number, and the y coordinate being a negative number

i have attached a graph showing the quadrants for a visual point of view

The coordinate pair that identifies a point in the third quadrant of the coordinate plane, where both x and y coordinates are negative, is (-6,-2)

The question is asking about identifying which pair of coordinates falls into the third quadrant of the coordinate plane in mathematics. The third quadrant in a coordinate plane is the bottom-left quadrant, where both the x and y coordinates are negative.

Looking at the options: A) (0,6), B) (-6,2), C) (2,-6), and D) (-6,-2); we can clearly see that option D) (-6,-2) is the point in the third quadrant, as both coordinates are negative. The pair (-6,-2) meets this description, with -6 on the x-axis and -2 on the y-axis. So, the correct answer is option D).

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Answer:

x = 12

Step-by-step explanation:

Given

4(x - 5) = 8x + 4 - 6x ← distribute left side and simplify right side

4x - 20 = 2x + 4 ( subtract 2x from both sides )

2x - 20 = 4 ( add 20 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Answer:

The slope is 0. However, it is a horizontal line where x=-6.

Step-by-step explanation:

Use the equation m= y2-y1/x2-x1 to get 12--8/-6--6. Two negatives means a positive, so you get 20/0. This means there is no slope, because you cannot divide by 0. However, you notice that both x-values are -6, so you can safely assume that there is a horizontal line where x=-6.

The slope is undefined and the line is vertical and parallel to the y-axis.

Given points (-6, -8) and (-6, 12)

First, the slope of line is

Slope= (change in y/ change in x

         = (12 - (-8)) / (-6 - (-6))

         = (12 +8) / (-6 +6)

         = 20 /0

         = ∞

Since we have a division by zero in the denominator, the slope is undefined.

This indicates that the line is vertical and parallel to the y-axis.

Thus, the slope is undefined.

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The equivalent equation of the provided equation y = a(x - h)² + k will be given as y = ax² + ah² + 2ahx + k.

The equivalent is the equations that are in different forms but are equal to the same value.

The equation of the parabola is given below.

y = a(x - h)² + k

Then open the bracket, we have

y = a(x² + h² - 2xh) + k

y = ax² + ah² + 2ahx + k

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The correct answer is option D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]

Let's analyze each option:
A. [tex]x = \pm\sqrt{\frac{y-k}{a}} -h[/tex].

   Rearrange equation: [tex]x+h = \pm\sqrt{\frac{y-k}{a} }[/tex].

   Here we can see a term of x+h, but this is not correct as the formula has (x-h). Hence this option is incorrect.

B. [tex]h = x-(\frac{y-k}{a} )^2[/tex]

   Rearrange equation: [tex](\frac{y-k}{a})^2 = x-h[/tex]

we can see that degree of y term is 2 and that of x term is 1 which not correct as in the formula x has degree =2 and y has degree. = 1.

C. [tex]k = y+(x-h)^2[/tex]

   This is incorrect as the equation doesn't include 'a' whereas the formula includes 'a'.

D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]

    Cross multiplying: [tex]y- k = a(x-h)^2[/tex]

    Rearrange: [tex]y = a(x-h)^2+k[/tex]

   This equation is equivalent to the formula.

The complete question is:
Which equation is equivalent to the formula below?

[tex]y = a(x - h)^2 + k[/tex]

A. [tex]x = \pm\sqrt{\frac{y-k}{a}} -h[/tex]

B. [tex]h = x-(\frac{y-k}{a} )^2[/tex]

C. [tex]k = y+(x-h)^2[/tex]

D. [tex]a = \frac{y-k}{(x-h)^2}[/tex]

Answer:

2541 peanut cookies were sold

Step-by-step explanation:

A system of equations can be written to match the problem description. Let p and c represent the initial numbers of peanut and chocolate cookies, respectively. Then we have ...

p - c = 1820 . . . . Lyn had 1820 more peanut cookies

After selling 35% of her peanut cookies, Lyn had 1-0.35 = 0.65 of the original number left. Likewise, after selling 15% of her chocolate cookies, she had 1-0.15 = 0.85 of the original number left. Then after the sales, the difference in cookie count was 95:

0.65p -0.85c = 95

We only need to know the original number of peanut cookies (p), so we can use Cramer's rule to find the solution for p.

p = (-95 +0.85·1820)/(-0.65+0.85) = 1452/0.20 = 7260

The original number of peanut cookies Lyn had was 7260, so the number she sold is ...

0.35 · 7260 = 2541

_____

Cramer's rule says the solution to ...

ax +by =c

dx +ey =f

is given by ...

x = (ec-bf)/(ea-bd)

y = (fa-cd)/(ea-bd)

Answer:

2541 cookie were sold

Step-by-step explanation:

Answer:

[tex]f(x) = 6x -12[/tex]

Step-by-step explanation:

We must write the function of the line in the form [tex]f (x) = mx + b[/tex]

First calculate the slope m

[tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_2 = 18\\y_1 =6\\x_2=5\\x_1=3[/tex]

[tex]m= \frac{18-6}{5-3} = 6[/tex]

Then

[tex]f(x) = 6x +b[/tex]

To have b replaced a point in the function

[tex]f(3)=6 = 6(3) +b\\\\6-18= b\\\\b=-12[/tex]

Finally the function is

[tex]f(x) = 6x -12[/tex]

ANSWER

[tex]f(x) = 6x - 12[/tex]

EXPLANATION

The given line passes through the points (3, 6) and (5, 18).

The slope of this line given by:

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

We plug in the points to get,

[tex]m = \frac{18 - 6}{5 - 3} = \frac{12}{2} = 6[/tex]

The equation is given by

[tex]y-y_1=m(x-x_1)[/tex]

We plug in the point and the slope to get,

[tex]y - 6 = 6(x - 3)[/tex]

[tex]y - 6 = 6x - 18[/tex]

[tex] y = 6x - 18 + 6[/tex]

[tex]y = 6x - 12[/tex]

Using function notation, we have

[tex]f(x) = 6x - 12[/tex]