Which of the following statements about the mean is false?

The mean and the median sometimes have the same value.

The mean is not used with variables measured at the ordinal level.

The mean is pulled in the direction of the hump in a skewed distribution.

The value of the mean reflects both the number and the value of cases.

Answer:

p = 8

Step-by-step explanation:

Subtract 18 from behind the equal sign to cancel it out. This leaves you with 2(p+1)- 18= 0.

Next you'll need to pull out the terms to work with the beginning of the problem. 2(p+1)- 18= 0 would turn into 2p - 16  = 2(p - 8).

This would leave you with 2= 0, but that's not true so continue on to the variable.

So p - 8= 0 making the answer p = 8

Answer:

18° and 72°

Step-by-step explanation:

Complimentary angles form 90°

We have an angle (x) 4 times larger than the other (y).

Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.

Answer:

the answer is D: 294 sq. cm

Step-by-step explanation:

first you want to split the net into 4 triangles and 1 rectangle

a = 12 cm

b =  6 cm

d = 13 cm

calculate the surface area of the pyramid...

1st find the area of the rectangle base

Rectangle base area

b x a = (6 cm) (12 cm)

= 72 sq. cm

next find the area of the triangle on the left

Left triangle

1/2(b)(d) = 1/2 (6 cm)(13 cm)

= 1/2 (78 sq cm)

= 39 sq. cm

Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left & right triangles

= 2 (39 sq. cm)

= 78 sq. cm

Find the area of the triangle on the bottom

Bottom triangle area = 1/2 (a)(a)

= 1/2 (12 cm) (12 cm)

= 1/2 (144 sq. cm)

= 72 sq. cm

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles

2 (72 sq. cm) = 144 sq. cm

Finally...add the area of the 4 triangles to the area of the rectangular base

72 + 78 + 144 = 294 sq. cm

Answer:

D

Step-by-step explanation:

Fun fact: During your life you can produce enough saliva for 2 swimming pools! :O 0.0 :D

This is a regular pyramid. A regular pyramid is a right pyramid whose base is a regular polygon and whose apex is directly above the centre of the base. The lateral surface area is the sum of the areas of all the lateral faces while  the surface area is the sum of all the lateral faces plus its base. In this exercise, the base is a square so this is also a square pyramid. Next, we have:

LATERAL SURFACE AREA:

For the lateral sides, we have four identical triangles, so the area of a triangle can be found as:

[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ b:base \\ \\ h:height[/tex]

and the lateral surface will be four times this value:

[tex]S_{L}=4A[/tex]

The base of the triangle is the same as the base of the square. So:

[tex]b=9yd[/tex].

On the other hand, the height of the triangle is the slant height of the pyramid, which is:

[tex]h=10yd[/tex]

So the area of a triangle is:

[tex]A=\frac{(9)(10)}{2} \\ \\ A=45yd^2[/tex]

Therefore:

[tex]S_{L}=4(45)\\ \\ \boxed{S_{L}=180yd^2}[/tex]

SURFACE AREA:

The surface area can be found as:

[tex]S=S_{L}+A_{b} \\ \\ Where: \\ \\ A_{b}: Area \ of \ the \ base \\ \\ S_{L}: Lateral \ surface[/tex]

Calculating the area of the base, which is a square, we have:

[tex]A_{b}=b^2 \\ \\ A_{b}=9^2 \\ \\ A_{b}=81yd^2[/tex]

Therefore:

[tex]S=180+81 \\ \\ \boxed{261yd^2}[/tex]

In this case, we have another similar pyramid compared to the previous one, but we are given the height of the pyramid and we'll name it [tex]H[/tex] in capital letter. We know that the area of a triangle is:

[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ b:base \\ \\ h:height[/tex]

and the lateral surface will be:

[tex]S_{L}=4A[/tex]

To find [tex]h[/tex], which is the slant height of the pyramid, we need to use the Pythagorean theorem. Next, it is true that:

[tex]h=\sqrt{\left(\frac{b}{2}\right)^2+H^2} \\ \\ b=14 \\ H=12 \\ \\ h=\sqrt{\left(\frac{14}{2}\right)^2+12^2} \therefore h=\sqrt{193}[/tex]

So the area of a triangle is:

[tex]A=\frac{(14)(\sqrt{193})}{2} \\ \\ A=7\sqrt{193}ft^2[/tex]

Therefore:

[tex]S_{L}=4(7\sqrt{193})\\ \\ S_{L}=28\sqrt{193}ft^2 \approx 388.9884[/tex]

Rounding to the nearest tenth:

[tex]\boxed{S_{L}=389.0ft^2}[/tex]

SURFACE AREA:

We know that the surface area can be found as:

[tex]S=S_{L}+A_{b} \\ \\ Where: \\ \\ A_{b}: Area \ of \ the \ base \\ \\ S_{L}: Lateral \ surface[/tex]

Calculating the area of the base, which is a square, we have:

[tex]A_{b}=b^2 \\ \\ A_{b}=14^2 \\ \\ A_{b}=196ft^2[/tex]

Therefore:

[tex]S=28\sqrt{193}+196 \\ \\ S \approx 584.9884ft^2[/tex]

Rounding to the nearest tenth:

[tex]\boxed{S=585ft^2}[/tex]

Here Patrick is making a paper model of castle. He has a net, so he can fold it to build up a pyramid. That's amazing, right? Well, recall that for a pyramid  like that the lateral surface area is the area of the lateral faces, that are all triangles. Thus, for a triangle:

[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ h: \ slant \ height \ of \ the \ pyramid \\ \\ b: base \ of \ the \ pyramid[/tex]

The slant height of the pyramid is [tex]h=20cm[/tex] because this is the same height of the triangle. On the other hand, the base is [tex]b=15cm[/tex]. So:

[tex]A=\frac{15(20)}{2} \\ \\ h=150cm^2[/tex]

Next the lateral surface area is:

[tex]S_{L}=4(150) \\ \\ \boxed{S_{L}=150cm^2}[/tex]

________________

Answer:

A. 183.71

Step-by-step explanation:

Original investment in stock plan = $5175

Increase in the first year of investment in stock plan = 9% of $5175

= 0.09 ( $5175)

= $465.75

then new value of investment in stock plan = $5175 + $465.75 = $5640.75

Loss in the investment of stock plan = 5% of $5640.75

= 0.05 ( $5640.75)

= $282.0375

then new value of investment in stock plan = $5640.75 - $282.0375 = $5358.7125

Now let's find difference between latest value and the original value of investment

$5358.7125 - $5175 = $183.7125

Hence choice A. 183.71 is correct.

Answer:

Step-by-step explanation:

Always do what is inside the brackets first.

345.5 * 0.98 = 338.59

Now raise this to the 9th power.

338.58^9 = 5.8488*10^22

You are now finished with the brackets.

8*4.9999a = 39.9992a

Now multiply by 5.84 * 10^22

2.3395 * 10^24

Answer:

B

Step-by-step explanation:

Since the line segment JK is tangent to the circle C, it creates a 90° angle at the point of intersection.

This means that we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Plug in the values given.

[tex]24^2+b^2=28^2 \\ \\ 576+b^2=784 \\ \\ b^2=208 \\ \\ b=\sqrt{208} \\ \\ b=14.4[/tex]

The answer would be B I think

Answer:

2x+8=20-x

Step-by-step explanation:

if it is an equation you are asking that will be it

2x + 8=20 - x

That is the equation. As you are reading the sentence try writing down exactly what it says. “2 times a number” We know that “times” means multiply, but what are we multiplying. It says to multiply 2 and a number, but we don’t know that number so we call it “x.” Then, it says “plus 8” or add 8. From that information we should come up with the expression 2x + 8. Then, it states “is the same as” which basically means equal to or =. Finally, it states “20 minus the number.” We subtract 20 and the number which can be shown as 20 - x.

All together the equation is written as 2x + 8=20 - x

We can simply do this by writing exactly what the sentence states in the order that it is written.

Answer:

180

Step-by-step explanation:

Ok first lets find out what 1/5 of 400 dollars is: 400/5= 80

So 1/5 of 400 is 80, now lets see what 2/5 is= 80 * 2= 160

Then subtract: 400 - 160= 240

we have 240 left. If he spent 1/4 of that on a vacuum cleaner then we have to: 240/4=60

He spent 60 dollars, now to find the remaining we must subtract: 240-60=180

Hope this helped ;)

So 2/5 is 0.4

0.4 of 400=160

400-160=240

240 is the remainder(what is left)

He used 1/4

1/4=0.25

240*1/4 =60

So 240-60=180

So your answer is: Mr.Ray will have $180 left.

Answer:  [tex]\bold{y=sin(4x)+3}[/tex]

Step-by-step explanation:

[tex]\text{The standard form of a sine equation is: y=A cos(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]

The given information is:

[tex]\implies \large\boxed{y=sin(4x)+3}[/tex]

Answer:

  Initially, the tundra has 180 caribou, and every year , the number of caribou increases by a factor of 1.2 .

Step-by-step explanation:

"Initially" generally means "when t=0." Put 0 where t is in the function and evaluate it:

  f(0) = 1.8(1.2)^0 = 1.8(1) = 1.8 . . . . . hundreds

1.8 hundreds is 1.8×100 = 180.

__

t is in years, so the simplest choice for the second blank in the statement is "year".

__

The exponent of 1.2 is t, which means that 1.2 is a factor of the expression the number of times specified by t.

  for t=0, f(0) = 1.8

  for t=1, f(1) = 1.8(1.2)

  for t=2, f(2) = 1.8(1.2)(1.2)

  for t=3, f(3) = 1.8(1.2)(1.2)(1.2)

Perhaps you can see that every year, the number increases by a factor of 1.2.

_____

You could put "3 years" in the second blank, then the third blank would be 1.2³ = 1.728. While correct, it is probably not what is expected by your answer checker.

Answer:

180

1 year

1.2

Step-by-step explanation:

got it correct on edmentum

Answer:

Option B. 4 x 8 x 3

Step-by-step explanation:

we know that

If the resulting cross-section is a rectangular figure with dimensions of 4x8

then

one of the dimensions of the prism must be 4 and another of the dimensions of the prism must be 8

Answer choice C, 1.5 x 3= 4.5

your correct answer would be c. 3

Answer:

Step-by-step explanation:

-8

Answer: First  option.

Step-by-step explanation:

We need to remember that:

[tex]\sqrt[n]{a^n}=a[/tex]

[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]

And, according to the Power of a power property we know that:

[tex](a^m)^n=a^{(mn)}[/tex]

Knowing this, we can descompose 32 into its prime factors:

[tex]32=2*2*2*2*2=2^5[/tex]

Then we can rewrite the expression as:

[tex]=\sqrt[5]{(-32)^3}\\\\=\sqrt[5]{(-2^5)^3}[/tex]

Finally, simplifying the expression, we get:

[tex]=\sqrt[5]{(-2)^{15}}\\\\=(-2)^3\\\\=-8[/tex]

This matches with the first option.

The expression that has a value of 36 is A. 9/12 x 48

Which expression has a value of 36?

From the question, we have the following parameters that can be used in our computation:

A. 9/12 x 48

B. 6/7 x 21

C. 10/13 x 39

D. 3/7 x 42

Evaluating the expressions, we have

A. 9/12 x 48 = 36

B. 6/7 x 21 = 18

C. 10/13 x 39 = 30

D. 3/7 x 42 = 18

Hence, the expression that has a value of 36 is A. 9/12 x 48

Answer: the first answer

.... Please mark branliest!!

Answer:

solution is (4,2)

Step-by-step explanation:

[tex]-3x+5y=-2[/tex]

[tex]3x+7y=26[/tex]

To solve for x  and y , we use elimination method.

we add both equations.

[tex]-3x+5y=-2[/tex]

[tex]3x+7y=26[/tex]

---------------------------------

[tex]12y=24[/tex]

Divide both sides by 12

y=2

Now we find out x

[tex]-3x+5y=-2[/tex]

[tex]-3x+5(2)=-2[/tex]

[tex]-3x+10=-2[/tex]

Subtract 10 from both sides

[tex]-3x=-12[/tex]

Divide by -3 on both sides

x=4

So, solution is (4,2)

Answer:

Step-by-step explanation:

Look at the picture.

We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

Therefore we have the equation:

[tex]x=\dfrac{8\sqrt3}{2}\\\\x=4\sqrt3[/tex]

Answer: 40

Step-by-step explanation:

the numbers were doubled

Answer:

40

Step-by-step explanation:

Answer:

The area of the shaded region is [tex]875.68\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the large circle minus the area of the inner circle

step 1

Find the radius of the inner circle

we know that

The circumference is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=77.872\ cm[/tex]

substitute and solve for r

[tex]77.872=2(3.14)r[/tex]

[tex]r=77.872/[2(3.14)]=12.4\ cm[/tex]

step 2

Find the radius of the large circle

[tex]r=12.4+8.4=20.8\ cm[/tex]

step 3

Find the area of the shaded region

[tex]A=(3.14)[20.8^{2} -12.4^{2}]= 875.68\ cm^{2}[/tex]

The area of the shaded region is: 875.60 square centimeters

The formula for the circumference of a circle is:

C = 2πr

where:

C is Circumference

r is radius

We are told the the circumference of the inner circle is 77.872 cm

Thus:

2πr = 77.872

r = 77.872/2π

r = 12.39 cm

Total radius of larger circle = 12.39 + 8.4 = 20.79 cm

Area of larger circle = π * 20.79²

Area of larger circle = 1357.87 cm²

Area of smaller circle is: π *  12.39²

Area of smaller circle is: 482.27 cm²

The area of the shaded region = 1357.87 cm² - 482.27 cm²

The area of the shaded region = 875.60 square centimeters

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Answer:

Option B. [tex]r=\sqrt{\frac{3V}{\pi h}}[/tex]

Step-by-step explanation:

we know that

The volume of a cone is equal to

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

Solve for the radius r

That means-----> isolate the variable r

Multiply by 3 both sides

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

Divide by [tex](\pi h)[/tex] both sides

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

square root both sides

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

If Caroline knows the height and the required volume of a cone-shaped vase, the formula she can use to determine the radius of the vase is: [tex]\mathbf{r = \sqrt{\frac{3V}{\pi h} } }[/tex]

Volume of cone (V) = 1/3πr²h

radius = r; height of cone = h

Having the height (h) and volume (V), find r:

1/3πr²h = V

(πr²h)/3 = V

πr²h = 3V

Divide both sides by πh

r² = 3V/πh

Take the square root of both sides

[tex]\mathbf{r = \sqrt{\frac{3V}{\pi h} } }[/tex]

Therefore, if Caroline knows the height and the required volume of a cone-shaped vase, the formula she can use to determine the radius of the vase is: [tex]\mathbf{r = \sqrt{\frac{3V}{\pi h} } }[/tex]

Learn more about the volume of a cone on:

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The method of calculating the area of a polygon depends on the type of polygon. Rectangles and triangles have straightforward calculations, however complex polygons might need to be divided into simpler figures. Certain figures such as circles and ellipses have unique formulas.

Calculating the area of a polygon depends on the type of polygon. For simple regular polygons like a rectangle, area can be found by length x width, for triangles it's base x height / 2. In particular complex polygons, the shape might need to be divided into simpler shapes, and the areas calculated separately.

For a circle, the area A = πr², where r is the radius. If you're trying to find the area of an ellipse, it can be calculated by A = πab, with a and b being half the long and short axis respectively.

The process to determine the area of a frequency polygon is little complex. First, the range of each class interval must be determined, and then multiplied by the frequency of that interval, with these values then being added together.

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To find the area of a polygon, you can divide it into smaller shapes with known area and add them up. Alternatively, you can use the formula for the area of a regular polygon.

To find the area of a polygon, you can use different formulas depending on the type of polygon. One general method is to divide the polygon into smaller shapes whose area you know how to calculate, such as triangles or rectangles, and then add up the areas of those shapes. For example, to find the area of a rectangle, you multiply its length by its width.

Another method is to use the formula for the area of a regular polygon, which is given by the formula: Area = 1/2 * ap, where 'a' is the apothem (the distance from the center of the polygon to the middle of one of its sides) and 'p' is the perimeter of the polygon.

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ANSWER

[tex]{ \tan(y) } = \frac{ \sqrt{7} }{3}[/tex]

EXPLANATION

If

[tex] \sin(X )= \frac{3}{4} [/tex]

[tex] \sin(X )= \frac{opposite}{hypotenuse} [/tex]

This implies that the opposite is 3 units and the hypotenuse is 4 units.

We now find the adjacent side using the Pythagoras Theorem.

[tex] {a}^{2} + {o}^{2} = {h}^{2} [/tex]

[tex] {a}^{2} + {3}^{2} = {4}^{2} [/tex]

[tex]{a}^{2} + 9 =16[/tex]

[tex] {a}^{2} =16 - 9[/tex]

[tex]{a}^{2} = 7[/tex]

[tex]{a}= \sqrt{7} [/tex]

[tex] { \tan(y) } = \frac{opposite}{adjacent} [/tex]

The side opposite to Y is √7 and the side adjacent to Y is 3.

[tex] { \tan(y) } = \frac{ \sqrt{7} }{3} [/tex]

Step-by-step explanation:

displayed price=100%=85

selling price=75% of the displayed price

discount=,25%

Final answer:

To find the amount of sales tax on a $85 jacket with a 7.5% sales tax, convert the percentage to 0.075 and multiply by $85, resulting in a tax of $6.375. Add this to the original price for a total of $91.38.

Explanation:

To calculate the amount of sales tax for an item, you must first convert the percentage to a decimal and then multiply it by the item's displayed price. For the example of a jacket priced at $85 with a 7.5% sales tax, you would use the following equation:

Amount of sales tax = price × rate of sales tax

First, convert 7.5% to a decimal by dividing by 100, which gives us 0.075. Then, multiply $85 by 0.075:

$85 × 0.075 = $6.375

Therefore, the sales tax is $6.375. To find the total cost of the jacket including the sales tax, you simply add the amount of the sales tax to the displayed price:

Total cost = displayed price + sales tax

Total cost = $85 + $6.375 = $91.375

Since the total cost usually needs to be rounded to the nearest cent, the final total cost of the jacket would be $91.38.

Answer:

£x = 100x pence

Step-by-step explanation:

£1 = 100 pence

£x = 100x pence

Answer:

100x pence

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

We know that £1 = 100 pence so from this knowledge we can

£x = 100 p

The answer is 180 seconds. The reason for this is that the second carton is 24 times the volume of the first one; so, the time taken to pack the container would be 24 times longer. This means that the answer would be found by the equation 7.5 * 24 which is evaluated to 180 seconds

To find out how long it would take to fill the larger carton, you can use the ratio of the volumes of the two cartons and the time it takes to fill the smaller carton. The formula to calculate the volume of a rectangular prism (like a carton) is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
First, we calculate the volume of the original carton:
\[ \text{Original Carton Volume} = 3 \text{ ft} \times 2 \text{ ft} \times 1 \text{ ft} = 6 \text{ cubic feet} \]
Next, we calculate the volume of the new larger carton:
\[ \text{New Carton Volume} = 4 \text{ ft} \times 6 \text{ ft} \times 6 \text{ ft} = 144 \text{ cubic feet} \]
Now, you can find out how much bigger the new carton is compared to the original carton by taking the ratio of the volumes:
\[ \text{Volume Ratio} = \frac{\text{New Carton Volume}}{\text{Original Carton Volume}} = \frac{144}{6} = 24 \]
This ratio means the new carton is 24 times larger in volume than the original carton.
Given that it takes 7.5 seconds to fill the original carton, you can now calculate the time it would take to fill the new carton by multiplying the original time by the volume ratio:
\[ \text{Time to fill new carton} = \text{Original Time} \times \text{Volume Ratio} = 7.5 \text{ sec} \times 24 = 180 \text{ sec} \]
Therefore, it would take 180 seconds to fill the carton that measures 4ft by 6ft by 6ft.

Answer:

5 x 5, 2 raised to the fifth power, 25

6 x 6 x 6, six cubed, 216

1/5 2, one fifth cubed, 1/5

62, 6 x 6, 36

hope this helped please give me the brainliest answer?

Have a good day ma dude!!! <3

A circle has 360°

Each percent of a circle represents 3.6°

Faucets contributed to 12% of the used water.

12 * 3.6° = 43.2°

m - 8 + 143 - 5

Answer: m + 130

Final answer:

To simplify the expression m - 8 + 143 - 5, combine the numerical parts to get 130, then the simplified expression is m + 130.

Explanation:

To simplify the variable expression m - 8 + 143 - 5, you must combine the numerical parts of the expression and keep the variable part as is. The numerical parts are -8, +143, and -5.

First, simplify the numerical parts by addition and subtraction:
143 - 8 - 5 = 130.

Next, keep the variable m in the expression, so the simplified form of the expression is:

m + 130

This is straightforward numerical evaluation, where units are not involved and thus can be worked out easily without mathematical complexity.

For this case we must make a rule of three:

23.47 ----------------> 100%

x -----------------------> 10%

Where the variable "x" represents the tip rate.

[tex]x = \frac {10 * 23.47} {100}\\x = 2,347[/tex]

Thus, the tip should be 2,347 dollars.

Answer:

$ 2,347

Answer:

A.5

Step-by-step explanation:

-x = 4 - 3x + 6

-x+3x = 4 + 6

2x =10

x=5