the girls heights in inches are as follows:62,70,60,63,66,what is their average height?​

Answers

Answer 1

Answer:

Average height = 64.2 inches

Step-by-step explanation:

[tex]Average = \frac{sum \ of \ the \ values }{number \ of\ value}[/tex]

            [tex]=\frac{62 + 70 + 60 + 63 + 66}{5}\\\\=\frac{321}{5}\\\\=64.2 \ inches[/tex]

Answer 2

The average of the given heights is 64.2 inches

What is an average?

An average of a list of data is the expression of the central value of a set of data. It is defined as the ratio of summation of all the data to the number of units present in the list.

According to the given problem,

Given data = { 62, 70, 60, 63, 66 }

Sum of the given heights = ( 62 + 70 + 60 + 63 + 66 )

                                          = 321

Average = [tex]\frac{321}{5}[/tex]

              = 64.2 inches

Hence, we can conclude, the average of the given data is 64.2 inches.

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Related Questions

which linear function represents a slope of 1/4

Answers

Answer:

B

Step-by-step explanation:

The line goes down 1 and right 4.  

Answer:

Option 2 represents a slope of 1/4.

Find the value of x.
42°
(5x + 2)

Answers

Answer:

x=8

Step-by-step explanation:

assuming this is what you mean:

(5x+2)=42

try to

isolate the variable by subtracting 2 from both sides

5x=40

continue to isolate the variable

divide by 5 on both sides

5x/5=40/5

x=8

A random experiment was conducted where a Person A tossed five coins and recorded the number of ""heads"". Person B rolled two dice and recorded the larger number out of the two dice. Simulate this scenario (use 10000 long columns) and answer questions 10 to 13.

Answers

Answer:

(10) Person B

(11) Person B

(12) [tex]P(5\ or\ 6) = 60\%[/tex]

(13) Person B

Step-by-step explanation:

Given

Person A [tex]\to[/tex] 5 coins (records the outcome of Heads)

Person [tex]\to[/tex] Rolls 2 dice (recorded the larger number)

Person A

First, we list out the sample space of roll of 5 coins (It is too long, so I added it as an attachment)

Next, we list out all number of heads in each roll (sorted)

[tex]Head = \{5,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,0\}[/tex]

[tex]n(Head) = 32[/tex]

Person B

First, we list out the sample space of toss of 2 coins (It is too long, so I added it as an attachment)

Next, we list out the highest in each toss (sorted)

[tex]Dice = \{2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6\}[/tex]

[tex]n(Dice) = 30[/tex]

Question 10: Who is likely to get number 5

From person A list of outcomes, the proportion of 5 is:

[tex]Pr(5) = \frac{n(5)}{n(Head)}[/tex]

[tex]Pr(5) = \frac{1}{32}[/tex]

[tex]Pr(5) = 0.03125[/tex]

From person B list of outcomes, the proportion of 5 is:

[tex]Pr(5) = \frac{n(5)}{n(Dice)}[/tex]

[tex]Pr(5) = \frac{8}{30}[/tex]

[tex]Pr(5) = 0.267[/tex]

From the above calculations: [tex]0.267 > 0.03125[/tex] Hence, person B is more likely to get 5

Question 11: Person with Higher median

For person A

[tex]Median = \frac{n(Head) + 1}{2}th[/tex]

[tex]Median = \frac{32 + 1}{2}th[/tex]

[tex]Median = \frac{33}{2}th[/tex]

[tex]Median = 16.5th[/tex]

This means that the median is the mean of the 16th and the 17th item

So,

[tex]Median = \frac{3+2}{2}[/tex]

[tex]Median = \frac{5}{2}[/tex]

[tex]Median = 2.5[/tex]

For person B

[tex]Median = \frac{n(Dice) + 1}{2}th[/tex]

[tex]Median = \frac{30 + 1}{2}th[/tex]

[tex]Median = \frac{31}{2}th[/tex]

[tex]Median = 15.5th[/tex]

This means that the median is the mean of the 15th and the 16th item. So,

[tex]Median = \frac{5+5}{2}[/tex]

[tex]Median = \frac{10}{2}[/tex]

[tex]Median = 5[/tex]

Person B has a greater median of 5

Question 12: Probability that B gets 5 or 6

This is calculated as:

[tex]P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}[/tex]

From the sample space of person B, we have:

[tex]n(5\ or\ 6) =n(5) + n(6)[/tex]

[tex]n(5\ or\ 6) =8+10[/tex]

[tex]n(5\ or\ 6) = 18[/tex]

So, we have:

[tex]P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}[/tex]

[tex]P(5\ or\ 6) = \frac{18}{30}[/tex]

[tex]P(5\ or\ 6) = 0.60[/tex]

[tex]P(5\ or\ 6) = 60\%[/tex]

Question 13: Person with higher probability of 3 or more

Person A

[tex]n(3\ or\ more) = 16[/tex]

So:

[tex]P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Head)}[/tex]

[tex]P(3\ or\ more) = \frac{16}{32}[/tex]

[tex]P(3\ or\ more) = 0.50[/tex]

[tex]P(3\ or\ more) = 50\%[/tex]

Person B

[tex]n(3\ or\ more) = 28[/tex]

So:

[tex]P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Dice)}[/tex]

[tex]P(3\ or\ more) = \frac{28}{30}[/tex]

[tex]P(3\ or\ more) = 0.933[/tex]

[tex]P(3\ or\ more) = 93.3\%[/tex]

By comparison:

[tex]93.3\% > 50\%[/tex]

Hence, person B has a higher probability of 3 or more

Please Help. Thank You

Answers

Answer:

x = 21

Step-by-step explanation:

We can use ratios to solve

35            x

------  = ----------

25          15

Using cross products

35*15 = 25x

525 = 25x

Divide each side by 25

525/25 =25x/25

21 =x

x=25 since RS and VW are congruent and the shape is dilated there is a 10unit increase in lengths for RS and VW so same would apply for other sides

Plot the point - 1 1/2 on the number line.

Answers

Answer:

smack dab in the middle of negative one and negative two :)

The given point -1 1/2  is present in the middle of the -1 and -2 points.

What is a number line?

A number line is a horizontal line in which integers are spread equally.

The given point is -1 1/2.

Hence, it is situated between points -1 and -2 on the number line.

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in a school all students play either football ir volleyball 300 play football 250 play volleyball and 110 play both the game . draw a venn diagram to find the number of students who play football only. the number of students who play volleyball only. the total number of students of the school​

Answers

Step-by-step explanation:

It will help you !!!!!!!!!!

Answer:

my answer is 660

Step-by-step explanation:

300+250+110=660

Podemos ver una muestra de laboratorio que contiene 32 bacterias inicialmente, y que luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora. ¿Al cabo de cuántas horas no quedará ninguna bacteria?. Resuelve utilizando potencias y sus propiedades.

Answers

Answer:

10 horas.

Step-by-step explanation:

Dado que una muestra de laboratorio contiene 32 bacterias inicialmente, y luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora, para determinar al cabo de cuántas horas no quedará ninguna bacteria se debe realizar el siguiente cálculo:

32 / 2  = 16

16 / 2 = 8

8 / 2 = 4

4 / 2 = 2

2 / 2 = 1

1 / 2 = 0.5

0.5 / 2 = 0.25

0.25 / 2 = 0.125

0.125 / 2 = 0.0625

0.0625 / 2 = 0.03125

Por lo tanto, al cabo de 10 horas no quedará ninguna bacteria.

Three students found the mean of the data set given. Their work is shown below. Choose the student who correctly found the mean. 10, 10, 13, 14, 16, 19, 23

Answers

Answer:

15

Step-by-step explanation:

To find the mean you add all the numbers together then divide by how many numbers there are.

10+10+13+14+16+19+23=105

105÷7=15

So the student who found 15 as their mean is correct.

10 + 10 + 13 + 14 + 16 + 19 + 23 = 105
105/7 = 15

Triangle ABC, where Angle C is the Right Angle in the lower left. Side CB is a leg of the triangle and is horizontal--going left and right. Side CA is another leg of the triangle and is vertical--going up and down. Angle A is up on top and is 41 degrees. Angle B (the other acute angle) is unknown. The hypotenuse AB is 30 feet in length. What is the height of the triangle (Side CA)? Round your answer to the nearest tenth of a foot.


help ​

Answers

Answer:

CA = 22.6 ft

Step-by-step explanation:

For the known angle A, leg CA is the adjacent leg.

Side AB is the hypotenuse.

The trigonometric ratio that relates the adjacent leg tot eh hypotenuse is the cosine.

cos A = adj/hyp

cos 41° = CA/(30 ft)

CA = 30 ft * cos 41°

CA = 22.6 ft

find the radius of each circle. use 3.14for the value of Pie. round your answer to
the nearest tenth. If the
circumference is 54km then what is the radius?

Answers

9514 1404 393

Answer:

  8.6 km

Step-by-step explanation:

The circumference of a circle is given in terms of its radius as ...

  C = 2πr

Then the radius can be found from the circumference using ...

  r = C/(2π)

Filling in the given values, we find the radius to be ...

  r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km

The radius is about 8.6 km.

BRAINLIEST!!! BRAINLIEST!!! BRAINLiEST!!! PLEASE HELP ME WITH THIS QUESTION AND IF IT'S CORRECT I WILL DEFINITELY GIVE YOU THE BRAINLiEST!!!

Answers

Answer:

161 cm

Step-by-step explanation:

Since 115 cm is 5 boxes, we take 115 and divide it by 5. This will get us the cm of 1 box. 115/5=23

Now we take 23 and multiply it by 7 to get the final height. 23x7=161

Answer:

5 boxes have 115 cm height

Then 1 box height is 115 / 5 = 23 cm

7 boxes will have height of 23 * 7 = 161 cm

Give brianliest

Peter went to Fury's Heavyweight Buffet for lunch. The total cost of Peter's meal can be represented by the expression $0.25z + $3.00d, where $0.25 is the price per ounce and the drinks cost $3. How much does Peter's lunch cost if he got 3 pounds of food (48 ounces) and one drink?

A$12
B$15
C$9.25
D$48

Answers

Answer:

B

Step-by-step explanation:

0.25z+3d

=0.25(48)+3

=12+3

=15$

Brainliets please

Sanjana wants to buy a computer that she can use for school next year which is 9 months away. She discovers that she can buy a computer for $400 at a discount electronics store in town. How much does Sanjana have to save every MONTH to buy the computer? ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day

Answers

Answer: ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day

Step-by-step explanation:

solve the equation (log base 3^x)^2_6log base 3^x+9=0​

Answers

Step-by-step explanation:

the answer is in the above image

Which ratios are equal to cos(B)? Choose the TWO ratios that apply.

Answers

Answer:2 and 5

Step-by-step explanation:

The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]

What are similar triangles?

"Two triangles are said to be similar

- if corresponding angles are equal and the sides

- if corresponding sides of the triangles are in proportion."

What is cosine angle?

In a right triangle,

cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse

For given example,

Triangles ABC and DEF are similar triangles.

This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]               ..............(i)

For a right triangle ABC,

the cosine of angle B is,

[tex]cos(B)=\frac{BC}{AB}[/tex]

From (i),

[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]

So, the cosine of angle B is,

[tex]cos(B)=\frac{EF}{DE}[/tex]

Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]

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(05.02)

Solve the following system of equations: (1 point)

x − 2y = 14
x + 3y = 9

Group of answer choices

(1, 12)

(−1, −12)

(12, −1)

(12, 1)

Answers

(-1,-12) is the correct answer

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

What expression represents the profit?

27x – 650
27x + 390
33x – 650
33x + 390

Answers

The expression which represents the profit is 33x + 390, the correct option is D.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

The polynomial= 2x3 + 30x – 130

The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.

Now,

To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:

profit = revenue - cost

profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)

profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520

profit = 33x + 390

Therefore, the expression will be 33x + 390.

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I’m doing algebra homework and I’m really stumped on this problem I could use the help

Answers

Step-by-step explanation:

Zeros : -2

axis of symmetry : x = -2

Max or Min : min

Vertex : (-2, 0)

solve for x. round to the nearest tenth. If necessary​

Answers

1.9

Do sin54 * 2.3
Because sin54 = x/2.3

The figure is a parallelogram. One diagonal measures 28 units.

A parallelogram is shown. It has side lengths 21, 20, 21, and 20. The length of a diagonal is 28.

Is the figure a rectangle? Explain.

Answers

Answer:

It is not a rectangle

Step-by-step explanation:

A rectangle is a shape with 4 sides, such that we have two pairs of parallel sides, where the length of the parallel sides is equal.

so we have two parallel sides with length L and two parallel sides with length L'.

In this figure ,we can see two sides with length 20 and other two with length 21, and this is a rectangle only if the sides meet at 90°degree angles (this would mean that the opposite sides are parallel)

To see this, we can think that the triangle formed by the diagonal and two sides is a triangle rectangle, then using the Pythagorean theorem we should have that:

20^2 + 21^2 = 28^2

841 = 784

So this is not a triangle rectangle, meaning that the angle between the side of 20 and the side of 21 is not a right triangle, then the figure is not a rectangle.

Therefore, it is not a rectangle

Hope u understand

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Thank You

A CD player holds 5 CDs, and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favourite song is played first.
(Give your answer as a fraction)

Answers

Answer:

1/(5*12) = 1/60 = .016 = 1.6%

Step-by-step explanation:

Please HELP ITS DUE LATER TODAY PLZ HELP ILL AWARD BRAINLIST

Answers

here’s the answer on whiteboard

Which equation shows how to use equivalent fractions to evaluate 5/7 + 1/2.

Choose 1 answer:

Answers

Answer:

last one

Step-by-step explanation:

[tex]\frac{5}{7}[/tex] = [tex]\frac{10}{14}[/tex]

[tex]\frac{1}{2}[/tex] = [tex]\frac{7}{14}[/tex]

need common denominators to add fractions.

what ever is multiplied to the bottom needs to be multiplied to the top

for example : [tex]\frac{5}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{14}[/tex]

Help pls!!!!!!!!!!!!! trigonometry is it cos sin or tan

Answers

Answer:

tan (angle T) = 5/2

angle T = arctan (5/2)

Noah wants to make the kite shown below out of cloth.He wants to determine how much cloth he needs.What is the area,rounded to the nearest square centimeter,of Noah's kite?

Answers

Answer:

Step-by-step explanation:

Area 32

rounded up 3/16

Noah needs 1063 square centimeters of clothes.

The area of the kite is 1063 square centimeters.

The correct option is B.

What is a kite's shape?

A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.

To find the area of a kite, you need to use the formula:

Area = (diagonal 1 x diagonal 2) / 2

where "diagonal 1" and "diagonal 2" are the lengths of the two diagonals of the kite.

To use this formula, follow these steps:

Here, if "diagonal 1" measures (42.7 + 22.5) cm and "diagonal 2" measures (16.3 + 16.3) cm, the area of the kite would be:

Multiply the length of "diagonal 1" by the length of "diagonal 2".

That means the result is 2125.52

Divide the result by 2.

2125.52/2

= 1062.76

≈ 1063

Therefore, the area of the kite is 1063 square centimeters.

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The complete question:

Noah wants to make the kite shown below out of cloth.

He wants to determine how much clothes he needs.

What is the area, rounded to the nearest square centimeter, of Noah's kite?

The image of the kite is given below.

Check if the point (-3, -5) lies on the line y= 2x -1


Plzzzzz hurry

Answers

Answer:

no

Step-by-step explanation:

To determine if the point lies on the line, substitute x = - 3 into the equation and if the value obtained equals - 5 then it lies on the line.

y = 2(- 3) - 1 = - 6 - 1 = - 7 ≠ - 5

Then the point (- 3, - 5 ) is not on the line

Helpppp and explain :)

Answers

Answer:

Problem 1: 25

Problem 2: 693

Step-by-step explanation:

Problem 1:

f(x) = -5n + 1

g(x) = -6n + 2

(f + g)(-2) = f(-2) + g(-2)

f(-2) = -5(-2) + 1

f(-2) = 10 + 1

f(-2) = 11

g(-2) = -6(-2) + 2

g(-2) = 12 + 2

g(-2) = 14

(f + g)(-2) = 11 + 14

(f + g)(-2) = 25

Problem 2:

f(x) = 7 + 2x

g(x) = 5x - 2

fg(7) = f(7) × g(7)

f(7) = 7 + 2(7)

f(7) = 7 + 14

f(7) = 21

g(x) = 5(7) - 2

g(x) = 35 - 2

g(x) = 33

Therefore:

fg(7) = 21 × 33

fg(7) = 693

The table shows ordered pairs of the function . What is the value of y when ?

Answers

the value of y is equal negative

In 2001 , a youth clubs total income was £1000 the club spent 60% of its total income on renting a hall it further spent £250 on prizes work out the ratio

The amount spent on hall : amount spent on prizes

Answers

Answer:

12:5

Step-by-step explanation:

To calculate the ratio, we must first find the values of the two expenditures. The amount spent on renting a hall was 60% of £1000. To represent percentages in decimals, we can simply divide the percentage by 100, resulting in 0.6 here. We can then multiply this value by 1000 to get the amount spent on renting a hall, which comes out to £600

The ratio is then 600 : 250,  60 : 25 (divide both sides by 10) , or 12:5 (divide both sides by another 5)

The two triangles are similar.
What is the value of x?
Enter your answer in the box HELP PLS

Answers

Solution for above problem :

The Above triangles are similar, Therefore the corresponding sides would be proportional.

that is : -

[tex] \dfrac{16}{12} = \dfrac{6x}{5x - 2} [/tex]

[tex]16 \times (5x - 2) = 12 \times 6x[/tex]

[tex]80x - 32 = 72x[/tex]

[tex]80x - 72x = 32[/tex]

[tex]8x = 32[/tex]

[tex]x = 32 \div 8[/tex]

[tex]x = 4[/tex]

[tex]\mathfrak{best \: \: of \: \: luck \: \: for \: \: your \: \: assignment}[/tex]

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Based on given information for each of the following, which lines cannot be parallel? b) Angle 69 degrees, angle 7=71 degreesc) Angle 1=103 degrees, angle 4=105 degreesPLSSS HELP THANKS!! Use the nutrition label to determine how many calories would be consumed by a person drinking half of the one-liter bottle of this soda.1 Liter Mountain DewNutrition FactsServing Size 8 fl oz. (240 ml)Servings Per Container 4Amount Per ServingCalories 110Daily ValueTotal Fat ogOxSodium 50 mg2%Total Carb. 31810%Sugars 315Protein ogOX* Percent Daily Values are based ona 2.000 calo de diet110220 Complete the following sentence. (blank) is the study of the design, form, and function of objects in the real world. In a class test.containing 15 questions 4 marks are given for every correct answer and -2 marks are given for every wrong answer james attempt all the question but only 9 of his answers correct .What is his total score 2.What is 10:30 pm in the 24-hour clock?3. How do you write 00:15 in the 12-hour clock? 4.How do you write 11:50 pm in the 24-hour clock? 11.How are the circumference and the diameter of any given circle related 12. The diameter of a circle is 22 cm long. What is its area? 13.What is the area of the largest circle that can be drawn on a square paper whose side is 20 cm? *16. Two workers need to dig a rectangular pit that is 2 meters long, 1.5 meters wide, and 1 meter deep. How many cubic meters of soil must they remove? *17.A cubical water tank has a 20 cm edge. How much water can it contain? tulong Which of the following numbers is to the left of 5 2/3 A. 5 5/6B. 5 3/4C.5 7/12D.5 11/12 Which one is it ?? Hurry please!! n is an integerWrite the values of n such that [tex]-8\leq 4n\ \textless \ 12[/tex] There were 7200 cars involved in a survey. 17% were driven by women. a What percentage were driven by men? b How many were driven by men? Which one of the following pairs of units may not be added together, even after the appropriate unit conversions have been made?a. grams and milligramsb. miles and kilometers c. kilometers and kilograms d. centimeters and yards Carla is wrapping a present in the box shown. How much wrapping paper does she need, not including overlap? Una pregunta alguien me puede alludar con un crucigrama qu es muy difcil alguno me colabora muchas gracias espero una respuesta y no copien mis respuestas gracias simplify:- the following fraction Find the distance between the points (11,4) and (10,5) Economic fine-tuning is the (usually frequent) use of Group of answer choices fiscal policy that both balances the budget and counteracts even small undesirable movements in economic activity. monetary and fiscal policies to counteract even small undesirable movements in economic activity. only fiscal policy to counteract even small undesirable movements in economic activity. monetary policy that is based on a predetermined steady growth rate in the money supply to counteract even small undesirable movements in economic activity. What's the difference between interpersonal and institutional bias? recycling is primarily an example of an issue facing businesses today \a. human resourceb. natural resource c. ethical d.social Solve the expression one half x (48 6) 2 + 5 using PEMDAS. 7 8 9 10 what you think should be done to africanize tourism? Which right determine who is responsible for managing the resources? Blank rights determine who is responsible for managing the resources