100
The ogive represents the heights of males in a
particular country in the 20-29 age group. What
height represents the 20th percentile? How
should you interpret this?
80-
60-
Percentile
40-
88
심
20-
0
63
65
67 69 71 73 75
Height (in inches)
The 20th percentile represents about inches.
(Round to nearest whole number as needed.)

Answer:

1st question : m C : 28

b : 7.06

c : 3.76

Answer:

  y = 3(2^x)

Step-by-step explanation:

Put the given point values in the equation and solve for 'a' and 'b'.

  3 = a(b^0) = a . . . . . for x=0, y=3

The y-intercept has given us the value of 'a'.

__

The other point will tell us 'b'.

  48 = a(b^4) = 3(b^4) . . . . . for x=4, y=48

  16 = b^4 . . . . . . . . . . . . . . . divide by 3

  2^4 = b^4   ⇒   b = 2

The exponential function is ...

  y = 3(2^x)

_____

Additional comment

We can use roots to find b:

  16^(1/4) = (b^4)^(1/4) = b

  2 = b . . . . your calculator can do this, or √(√16) = 16^(1/4) = 2.

Dilation involves changing the size of a quadrilateral or any shape

The coordinates of the image of the dilation are: [tex]W' = (1/4,-3)[/tex], [tex]X' = (10,0)[/tex], [tex]Y' = (7,-9)[/tex] and [tex]Z' = (4,-9)[/tex]

The vertices of the pre-image are given as:

W = (0,-4)

X = (13,0)

Y = (9,-12)

Z = (5,-12)

The scale factor is given as:

k = 3/4

The center of dilation is given as:

(a,b) = (1,0)

To calculate the vertices of the image, we make use of the following formula

[tex](x'y') = (k(x-a) + a,k(y-b) + b)[/tex]

So, we have:

[tex]W' = (3/4(0-1) + 1,3/4(-4-0) + 0)[/tex]

[tex]W' = (1/4,-3)[/tex]

[tex]X' = (3/4(13-1) + 1,3/4(0-0) + 0)[/tex]

[tex]X' = (10,0)[/tex]

[tex]Y' = (3/4(9-1) + 1,3/4(-12-0) + 0)[/tex]

[tex]Y' = (7,-9)[/tex]

[tex]Z' = (3/4(5-1) + 1,3/4(-12-0) + 0)[/tex]

[tex]Z' = (4,-9)[/tex]

Hence, the coordinates of the image of the dilation are:

[tex]W' = (1/4,-3)[/tex], [tex]X' = (10,0)[/tex], [tex]Y' = (7,-9)[/tex] and [tex]Z' = (4,-9)[/tex]

Read more about dilation at:

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A frequency distribution shows the frequency of the data elements it represents

To do this, we make use of a table that has the following columns

Using the given dataset, the frequency distribution is:

SN  Software Frequency Relative frequency

1      Excel         34                      48.6%

2    Minitab       17                       24.3%

3     SAS            3                        4.3%

4     SPSS          4                        5.7%

5      Other        12                      17.1%

See attachment for the histogram that represents the frequency distribution

From the chart, we have the following highlights:

Read more about frequency distribution at:

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Answer:

3(s+8) = 36

= 3(4+8) = 36

=3(12) = 36

= 3×12 = 36

Answer:

s = 4

Step-by-step explanation:

To solve for "s", we need to simplify the distributive property on the LHS.

[tex]\rightarrow 3(s + 8) = 36[/tex]

[tex]\rightarrow 3s + 24 = 36[/tex]

Now, let's solve for "s".

[tex]\rightarrow 3s + 24 = 36[/tex]

[tex]\rightarrow3s + 24 - 24 = 36 - 24[/tex]

[tex]\rightarrow3s = 12[/tex]

[tex]\rightarrow \boxed{s = \dfrac{12}{3} = 4}[/tex]

Answer:

It lies between 5 and 6

Step-by-step explanation:

[tex]{ \tt{ \sqrt{30} = \sqrt{5 \times 3 \times 2} }} \\ \\ x={ \tt{ \sqrt{5} \times \sqrt{3} \times \sqrt{2} }} \\ \\ { \boxed{ \tt{= 5 < x < 6}}}[/tex]

x is the root of 30

Answer:

\/\/

Step-by-step explanation:

-8x+6y=34

(+8x) (+8x)

6y=8x+34

÷6

y=8/6x+34/6

or

y=1.3x+ 5.7

would you like me to do the other one step by step or would you like to try it going based on the other one?

Answer:

0.32

Step-by-step explanation:

→ Add the frequencies for 1 pair of shoes and 2 pairs of shoes

12 + 20 = 32

→ Add all of the frequencies together

12 + 20 + 38 + 20 + 10 = 100

→ Divide 32 over the answer

32 ÷ 100 = 0.32

A. Divide number of people in the shop by total people walking by:

66/125 = 0.528 = 0.53

B. Divide people who bought something by total people walking by:

21/125 = 0.168 = 0.17

d. 66 -21 = 45 people don’t buy anything.

45/66 = 0.68

Answer:

37x

Step-by-step explanation:

I multiplied first and then rounded up all the equation

Answer:

[tex]{ \tt{ {2x}^{3} + {5x}^{2} + 6x + 15 }} \\ = { \boxed{ \tt{ \blue{ \: (2x + 5)(x \pm1.73i)}}}}[/tex]

Answer:I got 18.28

Step-by-step explanation:

so for getting the perimeter, you only need the outer line, so you sum the measurements you have for the rectangle: 1+2+2+7= 12. After that you need the circumference of the circle, you can figure it out by using the formula C = 2pi(r) You can find the radius by substracting the known sides of the rectangle attached to the circle from the bottom base and then dividing it in 2, leaving us with a radius of 2. Then we input values; C=2pi(2) which equals 4pi, but we need to divide that in half since it’s only half a circle. That leaves us with 2pi, or 6.28. Then we add the perimeter of the square, which was 12, and 6.28+12= 18.28

Answer:

D) The length of the short leg is half the length of the hypotenuse.

Answer:

The correct answer is option (d) x = 4.

Step-by-step explanation:

LMNO is a parallelogram.

As we know that, a parallelogram has opposite sides parallel and equal in length.

Now, according to the question :

[tex]\begin{gathered} \qquad{\dashrightarrow{\sf{NM = OL }}}\\\\\qquad{\dashrightarrow{\sf{x + 23= 5x + 7 }}}\\\\\qquad{\dashrightarrow{\sf{5x - x= 23 - 7 }}}\\\\\qquad{\dashrightarrow{\sf{4x= 16 }}}\\\\\qquad{\dashrightarrow{\sf{x= \frac{16}{4}}}}\\\\\qquad{\dashrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\underline{\boxed{\tt{\red{x = 4}}}}}} \end{gathered}[/tex]

Hence, the value of x is 4.

[tex]\rule{300}{2.5}[/tex]

Answer:

If the question is to factorize, then the answer would be 2(x−6).

If the question is to simplify, then the answer would be 2x−12.

Answer: 2x -12

Step-by-step explanation:

hope this helped you. :)

Transformation involves changing the position and the size of a shape

The congruence transformation to use is translation

From the question, we understand that:

She wants the flowers to look the same

To do this, she has to translate the image of a pattern of flower from one position to another

Hence, the congruence transformation to use is translation

Read more about transformation at:

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Answer:

The median amount he makes is $84.00 in a day.

Step-by-step explanation:

Is Jacob correct in thinking that the median best represents how much money he makes in daily tips? Yes, Jacob is correct. The median amount he makes is $84.00 in a day.

-Hope that helps<3

To solve this problem, we have to understand statistical terminologies and most importantly, what is a median.

Jacob is wrong here because the median does not represent or estimates how much he earn but instead the mean will do that.

In a set of a given data, the median is represented by the value just at the middle position.

Data;

The median does not give a right estimate of how much Jacob's earn from tips. This would've been accurate if it was the mean but in this case, Jacob is wrong.

Learn more on median here;

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#SPJ2

Answer: I think its 20.

Step-by-step explanation:

Answer:

4.5 cups

Step-by-step explanation:

Answer:

the building would be 280 feet (judging on how this is worded.)

Step-by-step explanation:

you are already 100 meters from the base ( bottom) of the building so you add 180 as you are 180 ft from the top of the building. 100 + 180 is equal to 280.

Answer:

C)They spent the same amount of time.

Step-by-step explanation:

Greg did 3/4 of an hour is 45mins for 2 days is x2 so Greg in total did 1 and 1/2 hours

Giselle did 1/4 of an hour which is 15mins for 6 days so x6 so Giselle did 1 and 1/2 hours too.

C)They spent the same amount of time on the project

A frequency distribution table is a table that summarizes data in two columns.

The result does not appear to have a normal distribution.

From the dataset, we have the following classes using 5 classes with a lower class limit of 119.4 and a class width of 0.2 volts

119.4 - 119.6, 119.7 - 119.9, 120.0 - 120.2. 120.3 - 120.5. and 120.6 - 120.8

So, the frequency distribution table is:

Class                   Frequency

119.4 - 119.6             4

119.7 - 119.9            10

120.0 - 120.2          6

120.3 - 120.5         5

120.6 - 120.8         0

The result does not appear to be normal.

This is so, because the frequency table do not go in form of a bell shape

Read more about frequency distribution table at:

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Answer:

1800 divided by 100 = 18

Step-by-step explanation:

18

=

18 Remainder 0

Step-by-step explanation:

are you having problems with something if so message this guy

Answer:

1 > 0.7 > 1/10

Step-by-step explanation:

1 = 10/10

0.7 = 7/10

1/10 = .10

Answer:

1, 0.7, 1/10

Step-by-step explanation:

So 1/10 is like 0.1 you get this by dividing 1 by 10

So now you have 1,0.7,0.1

In grader than order its the biggest goes first all the way down to the smallest so in this case the first one would be 1 and the second one would be 0.7 and then 1/10 is the last one

The minimum number of bags of seed the contractor needs to buy the to cover the entire lawn is 4

Start by calculating the area of the entire field using:

[tex]Area = Length * Width[/tex] --- area of square

So, we have:

[tex]Area = (18 + 54 + 18)* 28[/tex]

[tex]Area = 2520[/tex]

Next calculate the area of the porch using:

[tex]Area = 0.5 * (L1 + L2) * H[/tex] -- area of trapezium

So, we have:

[tex]Area = 0.5 * (54+ (54 + 18 + 18 - 14 - 14)) * 10[/tex]

[tex]Area = 580[/tex]

The difference between the areas of the entire field and porch is the area of the lawn.

So, we have:

[tex]Lawn= 2520 - 580[/tex]

[tex]Lawn= 1940[/tex]

The above means that, the area of the lawn is 1940 square yards

If one bag of grass covers 600 square yards, then the number of bags that can cover 1940 square yards is:

[tex]n =\frac{1940}{600}[/tex]

[tex]n =3.23[/tex]

Round to the next highest integer

[tex]n =4[/tex]

Hence, the minimum number of bags of seed is 4 bags

Read more about areas at:

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Answer:

90 would be your answer because you have to add up 45 and 45 which you get 90 and 90 and 90 gives you 180 which your right angle will always equal up to if you get what im saying

Answer:

for the rent = $1352
for the food = $338

Step-by-step explanation:

plan to budget 2/5 of your income, it is the same as 4/10 of it
(3380) (4/10)

(338) (4) = $1352 this is what a 2/5 of the income is
_____
about the 1/10
(3380) (1/10)

(338) (1) = $338 and this is what a 1/10 of the income is