Find the median of the set of data.

23 18 67 32 54 41 70 11 56 33 41 58


35

56

42

41

Answers

Answer 1

41 there are 12 numbers take middle

Answer 2

Hi

The answer is 41

11 18 23 32 33 =41= 54 56 58 67 70

Answer 3

Answer:

42

Step-by-step explanation:

23+18+67+32+54+41+70+11+56+33+41+58=504

(There's 12 sets of numbers)

504/12=42


Related Questions

I need help, I struggle with surface area. Please provide me with the answer and why it’s that answer.

Answers

lemme turn upwards the prims a little, check the picture below.

notice the triangle has a base of 4 and a height of 3, and the prism is really just two triangles and 3 rectangles, so we can simply get the area of each figure and sum them up, and that's the area of the prism.

[tex]\bf \stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(4)(3) \right]}+\stackrel{\textit{right-side rectangle}}{(5\cdot 6)}+\stackrel{\textit{left rectangle}}{(6\cdot 3)}+\stackrel{\textit{ground rectangle}}{(6\cdot 4)} \\\\\\ 12+30+18+24\implies 84[/tex]

3 to the zero power is what

Answers

Answer:

1

Step-by-step explanation:

Any number to the 0 power will always be 1.

Hope this helps ya out fam!

Welcome to Brainly btw!

~LoCoCoCo

Answer:

The answer should be 1

Step-by-step explanation:

13. Write an expression that shows 17 less
than five times a number.

Answers

answer for this question is 5x-17

Which will hold more cake batter the rectangular pan or two round pans

Answers

Answer:

I don't know the size of the pans, but I'd probably say the rectangle ones.  

Step-by-step explanation:

Y'know, you have to calculate volume and all that put based on the info given rectangular pans usually hold more...although there are two round pans...please add some numbers to clarify!

food bill before tax:$45 sales tax:6.8% tip:24%

Answers

Answer: 58.86

Step-by-step explanation:

45(.068)= 3.06

3.06+45= 48.06

45(0.24)=10.8

48.06+10.8= 58.86

Your scores on test in math are 89, 95 and 76. You will be taking one more test and you want your (mean) average to be 90. What will your test score have to be?

Answers

Answer:

100

Step-by-step explanation:

89+95+76=260

260+100(test score)=360

360/4=90

mark me brainiest

In the drawer you have 8 black socks and 5 yellow socks , if you pick out a sock what is the probability that the pick out a yellow sock?

Answers

Answer:

Step-by-step explanation:

I believe the answer is 5/13 chance because 8 black socks then 5 yellow so In total there are 13 socks and the question revolves around the yellow socks so 5/13 chance. Hope it helps. :)

5/13 because there is 13 socks all together and 5 of them are yellow

Suppose f(x) = x^2. what is the graph of g(x) = f(2x)?

Answers

Answer:

C

Step-by-step explanation:

Substitute 2x into the equation where x is located. G(x)= (2x)^2=4x^2. This will be a graph which has been vertically stretched has a very steep curve to it facing up. It is C.

Answer: c is the correct answer

Step-by-step explanation:

Just took it

What is the mode of the data?



3
5
7
8


tell me what to do bc i have 8 of them to do o3o

Answers

Answer:

5

Step-by-step explanation:

Mode means most, so it's the number you see most.

Given that he polynomial function below find f(-9)

Answers

Answer:

B

Step-by-step explanation:

To find the value [tex]F(-9)[/tex] of the polynomial function [tex]F(x)=-x^2-10x-2,[/tex] you have simply substitute [tex]x=-9[/tex] into the function expression (write -9 instead of x):

[tex]F(-9)=-(-9)^2-10\cdot(-9)-2\\ \\=-81+90-2\\ \\=7[/tex]

Final answer:

To find f(-9) in the given function, substitute -9 for x and evaluate by following the transformation rules.

Explanation:

We can rewrite a given function as y = f{-2(x+1)}. To find f(-9), we substitute -9 for x in the function.

This gives us f(-9) = f{-2(-9+1)}. Calculating further results in f(-9) = f{-2(-8)}.

Therefore, to find f(-9), we evaluate the function at x = -8, and the value depends on the specific function provided.

When Elyse moved last weekend, the circular glass top for an end table broke. To replace it, she bought a circular glass top with a diameter of 20 inches.

What is the approximate area of the circular glass top Elyse bought?

Answers

Answer:

A = 314 inches^2

Step-by-step explanation:

We know the diameter of the glass.  We need to find the radius

d = 2r

20 = 2r

Divide each side by 2

20/2 = 2r/2

10 =r

To find the area of the glass

A = pi r^2

A = pi * 10^2

A = pi*100

A = 100 *(3.14)

   = 314 in^2


What is the amplitude, period, and phase shift of f(x) = −4 sin(2x + π) − 5?
Amplitude = −4; period = 2π; phase shift: x = -pie/2
Amplitude = −4; period = π; phase shift: x = pie/2
Amplitude = 4; period = π; phase shift: x = -pie/2
Amplitude = 4; period = 2π; phase shift: x = pie/2

Answers

Answer:

Amplitude = 4; period = π; phase shift: x = -pie/2

Step-by-step explanation:

For a sine wave of the following type:

y = Asin(Bx + C) + D, we have that:

A represents the amplitude

C represents the phase shift

D represents the vertical shift

And the period is given by: [tex]\frac{2 \pi}{B}[/tex]

Therefore, considering: f(x) = −4 sin(2x + π) − 5, we know that sin(a + π) = -sin(a). Then:

f(x) = −4 sin(2x + π) − 5 = 4sin(2x)-5 = 4cos(2x - π/2) - 5

The amplitude equals 4

The period is T = π

The fase shift is: -π/2.

Therefore, the correct option is:

Amplitude = 4; period = π; phase shift: x = -pie/2

Tim Tradesman pays $2,000 annually for $150,000 worth of life insurance. Answer the following questions. a. At the end of 10 years, how much will Tim have paid in premiums? b. At the end of 10 years, what will the cash value of his policy be? c. What will the ratio of cash value to premiums paid be (as a percent)?

Answers

____________________________________________________

Explanation for question A:

We are trying to found the amount of money he payed after 10 years.

He pays an annual (yearly) of $2,000, so we would just multiply 2,000 by 10, since we are trying to find the amount he point in 10 years, in which he pays $2,000 a year.

[tex]2000*10=20000[/tex]

Answer for Question A: Tim Tradesman paid $20,000 in premiums at the end of 10 years.

____________________________________________________

Explanation for question B:

In question B, we are trying to find the cash value of the policy at the end of 10 years.

To find the cash value at the end of 10 years, we would get the units of life insurance and multiply it by the cash value per unit

There would be 150 units of life insurance.

So we multiply:

[tex]150*89=13350[/tex]

Answer for Question B: The cash value of his policy will be $13,350 at the end of 10 years.

____________________________________________________

Explanation for question C:

In question C, we are trying to find the ratio of cash value to premiums paid.

Our cash value is 13,350 and we paid 20,000.

When you subtract 20,000 and 13,350, you would get 6,650.

[tex]20000-13350=6650[/tex]

Then when you add 20,000 and 13,350, you would get 33,350.

[tex]20000+13350=33350[/tex]

When you subtract 6,650 from 33,350, you would get 26,700

[tex]33350-6650=26700[/tex]

26,700 is 66.75% of 33,350.

Answer for Question c: The ratio as a percent for the cash value to premiums paid is 66.75%

____________________________________________________

Given: m∠MEJ=30°, m∠MFJ=50° , Find: Measurement of Arc KL & Measurement of Arc MJ

Answers

Answer:

Part a) The measurement of arc KL is [tex]20\°[/tex]

Part b) The measurement of arc MJ is [tex]80\°[/tex]

Step-by-step explanation:

Let

x--------> the measure of arc KL

y-------> the measure of arc MJ

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

[tex]m<MEJ=\frac{1}{2}(y-x)[/tex]

substitute the given value

[tex]30\°=\frac{1}{2}(y-x)[/tex]

[tex]60\°=(y-x)[/tex]

[tex]y=60\°+x[/tex] ------> equation A

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

[tex]m<MFJ=\frac{1}{2}(x+y)[/tex]

substitute the given value

[tex]50\°=\frac{1}{2}(x+y)[/tex]

[tex]100\°=(x+y)[/tex]

[tex]y=100\°-x[/tex] ------> equation B

Equate the equation A and B and solve for x

[tex]60\°+x=100\°-x[/tex]

[tex]2x=100\°-60\°[/tex]

[tex]x=20\°[/tex]

Find the value of  y

[tex]y=100\°-20\°=80\°[/tex]

therefore

The measurement of arc KL is [tex]20\°[/tex]

The measurement of arc MJ is [tex]80\°[/tex]

The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of the circle circumscribed about this triangle.

Answers

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

[tex] \cos(60 \degree) = \frac{altitude}{hypotenuse} [/tex]

[tex] \cos(60 \degree) = \frac{altitude}{8} [/tex]

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

[tex] \sin(60 \degree) = \frac{4 - y}{y} [/tex]

[tex] y\sin(60 \degree) = 4 - y[/tex]

[tex]y\sin(60 \degree) + y= 4 [/tex]

[tex](\sin(60 \degree) + 1)y= 4 [/tex]

[tex]y= \frac{4}{\sin(60 \degree) + 1} [/tex]

[tex]y = 16 - 8 \sqrt{3} [/tex]

y=1.857

The diameter is 2y

[tex]d = 32 - 16 \sqrt{3} [/tex]

=2(1.875)

The length of a Diameter is 3.714

Answer:

Diameter of the circle is 16 cm.

Step-by-step explanation:

Given : The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm.

To find : The length of a diameter of the circle circumscribed about this triangle?

Solution :

We construct a circle in which an ABC isosceles triangle is formed.

Refer the attached figure below.

The measure of a vertex angle of an isosceles triangle is 120° .

The length of a leg is 8 cm, AC=8 cm

Vertex angle is divided by the line touching the center of the circle.

So, [tex]\angle A=60^\circ[/tex] and line AD=radius of the circle

Applying property of isosceles triangle,

Now, ∠DAC=∠ACD=∠CDA=60°

AC=DC=8 cm

The radius of the circle is 8 cm.

The diameter of the circle is twice the radius.

Therefore, The diameter of the circle is d=2(8)=16 cm.

Dont mind what I have wrote​

Answers

Answer:

n = 10

Step-by-step explanation:

[tex]\dfrac{4^8}{(4^2)^{-3}} \div 4^4 = 4^n[/tex]

[tex]\dfrac{4^8}{4^{-6}} \div 4^4 = 4^n[/tex]

[tex]4^8 \times 4^6 \div 4^4 = 4^n[/tex]

[tex]4^{(8 + 6 - 4)}= 4^n[/tex]

[tex]4^{10}= 4^n[/tex]

[tex]n = 10[/tex]

Answer:

n = 10

Step-by-step explanation:

[tex]\dfrac{4^8}{(4^2)^{-3}}\div4^4=4^n\qquad\text{use}\ (a^n)^m=a^{nm}\\\\\dfrac{4^8}{4^{(2)(-3)}}}\div4^4=4^n\\\\\dfrac{4^8}{4^{-6}}\div4^4=4^n\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\4^{8-(-6)}\div4^4=4^n\\\\4^{14}\div4^4=4^n\qquad\text{use}\ a^n\div a^m=a^{n-m}\\\\4^{14-4}=4^n\\\\4^{10}=4^n\Rightarrow n=10[/tex]

Tomás built several towers with rectangular blocks. Which formula best represents the heights of the blocks in terms of their volumes?

Answers

Answer:

Option A

V = 15h

Step-by-step explanation:

Given in the question some information regarding the heights and volume of the towers with rectangular blocks

Formula to use

Volume = Length x Width x Height

30 =  Length x Width (2)

Length x Width   = 30/2

Length x Width   = 15

Formula best represents the heights of the blocks in terms of their volumes

V = 15h

Answer:

The correct answer is option A.  15h

Step-by-step explanation:

From the figure we can see that a table shows the relationship between heights and volume of rectangular blocks.

Heights          Volume

2                       15

3                       45

4                       60

10                    150

To find the formula in terms of heights

If height = 2 then volume = 30 = 2 * 15

If height = 3 then volume = 45 = 3 * 15

If height is 'h' then volume = 15 * h = 15h

The correct answer is option A.  15h

for a field trip the school bought 67sandwiches for 6.60 each and 59 bags of chips for 3.25 each . how much did the school spend in all​

Answers

Answer:663.95$

Step-by-step explanation:

Answer:

633.95

Step-by-step explanation:

Pls help meh!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The clock on the left shows that there are 6 minutes needed to reach 4:00

The clock on the right shows that it is (5*7 + 1) =  36 minutes past 4:00

The time passed is 6 + 36 = 42 minutes.

three classes at a junior high school raised money to buy new computers

•ms moore’s class raised $249.00
•ms aguilars class raised $396.62 more than ms.moores class
•mr.barrys class raised $430.43 less than ms.augilars class

what is the total amount of money raised by all three classes

Answers

Answer:

$1109.81

Step-by-step explanation:

$249.00 +$369.62= $618.62(ms. aguilars class)

$618.92-$430.43= $188.19(mr. barry's class)

$249.00+$618.62+$188.19=$1109.81(complete answer of all 3 classes combined)

Answer:

The final amount is $1109.81

Step-by-step explanation:

In order to find the total amount, start with the know amount, which is Ms. Moore's class. Her class raised $249. Now we can use that to find the amount from Ms. Aguilar's class.

$249 + $396.62 = $645.62

Now we can use the amount from Ms. Aguilar's class to find the amount from Ms. Barry's class

$645.62 - $430.43 = $215.19

Now we can add the three amounts together to find the total amount.

$249 + $645.62 + $215.19 = $1109.81

Is 27,36,45 A right trangle?

Answers

Answer:

We square the 2 smallest sides and sum them:

27^2 = 729 + 36^2 = 1,296

729 + 1,296 = 2,025

This equals the longest side squared 45^2 = 2,025

When this occurs the triangle is a right triangle.

Step-by-step explanation:

the table shows the number of minutes of exercise for each person. compare and contrast the measures of variation for both weeks. please answer quickly and thank you!

Answers

To compare the measures of variation for both weeks, calculate the range and standard deviation. Week 1 has a larger range and standard deviation compared to Week 2.

Explanation:

To compare and contrast the measures of variation for both weeks, we need to calculate the range and standard deviation for each week. The range is the difference between the highest and lowest values, while the standard deviation measures the average amount by which each data point differs from the mean.

For Week 1, the range is 90 (90 - 30), and the standard deviation is 25.62. For Week 2, the range is 30 (60 - 30), and the standard deviation is 11.55.

Therefore, Week 1 has a larger range and standard deviation compared to Week 2.

Learn more about Variation here:

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250 female nurses to 100 male nurses what is the ratio of male nurses to female nurses





Answers

Answer:

2:5

it may be faster to google it

Answer:

Required ratio is 2:5.

Step-by-step explanation:

Given that number of female nurses = 250

Given that number of male nurses = 100

Now we need to find about what is the ratio of male nurses to female nurses.

So we just need to divide number of male nurses by the number of female nurses. That means divide 100 by 250. We get:

[tex]\frac{male}{female}=\frac{100}{250}[/tex]

[tex]\frac{male}{female}=\frac{10}{25}[/tex]

[tex]\frac{male}{female}=\frac{2}{5}[/tex]

Hence required ratio is 2:5.

Select the representation that does not change the location of the given point. (4, 110°)

Question 6 options:

(4, 290)°


(-4, 200)°

(4, 470)°


(-4, 470)°

Answers

Answer:

(4,470°)

Step-by-step explanation:

The representation that does not change the location of (4, 110°) in polar coordinates are all points that are coterminal with the given point.

The only point among the given options that is coterminal with (4, 110°) is (4, 470)°

The two points have the same magnitude and 470°-360°=110°.

Since 110° is coterminal with 470° and the two points have the same magnitude with the same sign, the two points represent the same location in polar coordinates.

The correct choice is (4,470°)

Final answer:

In the polar coordinate system, the point (4, 470°) is the representation that does not change the location of the given point (4, 110°). We obtain this by adding 360° to the given angle.

Explanation:

This question is based on the concept of polar coordinates. Polar coordinates represent a point in space by specifying its distance from a reference point, usually the origin, and the angle made with the positive x-axis. In polar coordinates, (r, θ), 'r' represents the distance and 'θ' is the angle.

Given point is (4, 110°). We can notice that by adding or subtracting multiples of 360° from the angle, we are not changing the location of the point. So, if we add 360° to the 110°, we will obtain 470°. Hence, the point that represents the same location is (4, 470°).

The point (-4, 200°) represents the point in the opposite direction and the points (4, 290°) and (-4, 470°) change the angle beyond or below what is allowable without changing the point's location.

Learn more about Polar Coordinates here:

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What is most likely the length of a telephone book

Answers

Answer:

its around 297mm so any choice you have there around that number choose it

Step-by-step explanation:

A survey of all teachers at a school found that the mean time planning for their classes is 54 minutes a day. Is the mean time a parameter or a statistic?

Answers

Answer:

Statistic

Step-by-step explanation:

You are asking more than one people/persons so it would be statistic.

Write all the factors of 16

Use commas to separate them.

Answers

Factors of 16 :

1, 2, 4, 8, 16

Answer

1,2,4,8,16

Method

16 is a composite number and it is 4 squared. 16= 1x16,2x8 or 4x4. So all the factors of 16 is 1,2,4,8,16

I have no idea what to do.. someone please explain??

Answers

Answer:

d = 25 inches

Step-by-step explanation:

If the figures are similar, the dimensions have to be in proportion

diameter     diameter

------------- = ------------

height          height

10 ft            d inches

------------- = ------------

4 ft             10 inches

Using cross products

10 * 10 = 4 *d

100 = 4 d

Divide by 4

100/4 =4d/4

25 = d

d = 25 inches

Check the picture below.

bearing in mind that the large cylinder is using feet units, and thee are 12 inches to 1 foot, thus 10 feet  = 120 inches.

What is the value of (–3 + 3i) + (–2 + 3i)? –5 – 6i –5 + 6i 5 + 6i 5 – 6i

Answers

Answer: Second option

[tex]-5 + 6i[/tex]

Step-by-step explanation:

The expression [tex](-3 + 3i) + (-2 + 3i)[/tex] is the sum of two complex numbers and their real part

To solve the sum you must add the real parts with the real parts and the complex numbers with the complex numbers

so, we have:

[tex]-3 + 3i -2 + 3i\\\\(-3 - 2) + (3i + 3i)\\\\-5 + (3i + 3i)\\\\-5 + 6i[/tex]

the answer is the second option

[tex]-5 + 6i[/tex]

If you increase your bicycle speed by 5.6 miles per hour, the speed will be 17.9 miles per hour. What is your bicycle speed now?

Answers

Answer:

12.3 mph

Step-by-step explanation:

17.9 - 5.6 = 12.3

Answer:

12.3 mph

Step-by-step explanation:

Let x be our speed now

We increase the speed by 5.6 mph

Our new speed is x+5.6

We are going 17.9 mph

x+5.6 = 17.9

Subtract 5.6 from each side

x+5.6 -5.6 = 17.9-5.6

x =12.3

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