Activity 1: Directions: Write TRUE if the statement is true and FALSE if the statement is false.

1. The formula in finding the area of a circle is derived from the area of a parallelogram

2. The area of a circle isπr²


3. The area of a circle is equal to pi divided by the square of the radius.

4. The diameter of a circle is equal to twice its radius.

5. The area of a circle whose radius is 2.1m² is 13.85m².

Please need answer​

Answer:

Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%

Step-by-step explanation:

We are given that

Population was Caucasian=64%

Population was African-American=11%

Population was Hispanic=10%

Let the population of U.S=10000

Now,

Population was Caucasian=[tex]\frac{64}{100}\times10000=6400[/tex]

Population was African-American=[tex]\frac{11}{100}\times 10000=1100[/tex]

Population was Hispanic=[tex]\frac{10}{100}\times 10000=1000[/tex]

Population of others=10000-(6400+1100+1000)=1500

Population of Caucasians used the Internet for e-mail=86% of 6400

Population of Caucasians used the Internet for e-mail=[tex]\frac{86}{100}\times 6400[/tex]

Population of Caucasians used the Internet for e-mail=5504

Population of African-American used the Internet for e-mail=77% of 1100

Population of African-American used the Internet for e-mail=[tex]\frac{77}{100}\times 1100=847[/tex]

Population of Hispanics used the Internet for e-mail=77% of 1000

Population of Hispanics used the Internet for e-mail=[tex]\frac{77}{100}\times 1000=770[/tex]

Population of others used the Internet for e-mail=84% of 1500

Population of others used the Internet for e-mail=[tex]\frac{84}{100}\times 1500=1260[/tex]

Total population used the Internet for e-mail=5504+847+770+1260

Total population used the Internet for e-mail=8381

Percentage of U.S resident who used the Internet for e-mail were Hispanic

=[tex]\frac{Population \;of \;Hispanics \;used \;the \;Internet \;for \;e-mail}{total\;population\; used \;the \;Internet \;for\; e-mail}\times 100[/tex]

Percentage of U.S resident who used the Internet for e-mail were Hispanic=[tex]\frac{770}{8381}\times 100[/tex]

Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%

Answer:

To understand a graph you need to interpret a graph or a chart, read the title, look at the key, read the numbers and lables. then study the graph to understand what it shows. read the title graph or chart. the title tells what information is being displayed.

Step-by-step explanation:

Answer:

The second graph

Step-by-step explanation:

This is because as you can see the equatin they're using is point slope form (y-y1=m(x-x1)) and the m stands for slope. the slope in the equation you gave us is 2 or a rise of 2 and a run of 1 (2/1) and the frist graph has a slope of 3/1

Answer:

both apply

Step-by-step explanation:

i guessed just do it

Answer:

3. 107,5

4. R = 44

   RM = 35 (isosceles triangle)

Answer:

for the first one answer is OLE is 107.5 degree

and for the second one,

m R is 44 and RM is 35 cm

Answer:

30 mph

Step-by-step explanation:

train stopped after 520 miles

780 miles to go

stopped at 20 hours

stopped for 4 hours

34 hours used up...

26 hours left

780 miles to go

780 miles/26 hrs = 30 m/hr

Step-by-step explanation:

The relative frequency for a 15% discount is 52.1%.

The relative frequency is the quotient of a particular frequency divided by the total number of frequencies.

Given:

A store is giving out cards labeled 1 through 10 when customers enter the store.

If the card is an even number, you get a 15% discount on your purchase that day.

The subgroup for even numbers = 2, 4, 6, 8, 10

The subgroup frequency = 56 + 50 + 54 + 49 + 54 = 263

The total frequency = 500

The relative frequency = 263/500 = 0.521 = 52.1%

Therefore, 52.1% is the relative frequency.

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Answer:

[tex]V_c=452.16\ mm^3[/tex]

Step-by-step explanation:

Given that,

The volume of a sphere is 904.32 mm³.

The volume of a cone that has the same height and circular base with the same diameter is:

[tex]V_c=\dfrac{1}{3}\pi r^2 \times 2r=\dfrac{2}{3}\pi r^3[/tex]

The volume of a sphere with the same radius is:

[tex]V_s=\dfrac{4}{3}\pi r^3=2\times \dfrac{2}{3}\pi r^3[/tex]

So, the volume of sphere is :

[tex]V_c=\dfrac{V_s}{2}\\\\V_c=\dfrac{904.32 }{2}\\\\V_c=452.16\ mm^3[/tex]

So, the volume of the cone is [tex]452.16\ mm^3[/tex].

Hope this help!!!

Have a nice day!!!

Answer: 0.973

Step-by-step explanation:

The probability mass function of geometric distribution is

[tex]f(x)=(1-p)^{x-1}p,\ \ \ x=1,2,3,...[/tex], p= probability of success on a trial.

As per given, we have

p=0.7

The probability that we'll have at most 3 orders [tex]P(X\leq3)=P(x=1)+P(x=2)+P(x=3)[/tex]

[tex]=(1-0.7)^{1-1}(0.7)+(1-0.7)^{2-1}(0.7)+(1-0.7)^{3-1}(0.7)\\\\=0.7+0.21+0.063\\\\=0.973[/tex]

hence, the required probability = 0.973

The probability that we'll have at most 3 orders will be "0.973".

According to the question,

→ [tex]x \sim Geometric (p)[/tex]

here,

p = 0.7

then,

→ [tex]P(X=x) = (1-p)^{x-1}\times p[/tex]

By putting the given values, we get

                   [tex]= (1-0.7)^{x-1}\times 0.7[/tex]

hence,

The probability that we'll have at most 3 orders will be:

→ [tex]P(X \leq 3)=P(X=1)+P(X=2)+P(X=3)[/tex]

                   [tex]=0.7+0.21+0.063[/tex]

                   [tex]=0.973[/tex]

Thus the above response is correct.

Learn more about probability here:

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Answer:

D. x = 5; x = -5

Step-by-step explanation:

x^2 - 25 = 0

Add 25 to each side

x^2 - 25+25 = 0+25

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = ±5

Answer:

x = 6.9

Step-by-step explanation:

[tex]\frac{sin(90)}{12} = \frac{sin(35)}{x} \\\\x = 6.9[/tex]solve for x

Answer:

3/10.

Step-by-step explanation:

The 3 men will be on the numerator, to signify they're the group we're focusing on.

Then you add all of the people together (7 + 3 = 10) and put that on the denominator.

therefore, you get 3/10.

The probability of a man getting the job for the post of HR Manager is 3/10.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

We know, The ratio of favorable events to unfavorable events for a given event is known as the odds in favor.

Given, Three men and seven women have been shortlisted for the post of HR Manager.

Therefore, The probability  of a man getting the job is,

= (3/(3 + 7)).

= 3/10.

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Answer:

Step-by-step explanation:

A customer satisfaction survey refers to a questionnaire that's designed by a company in order for businesses to know what customers think about their products.

Since the manager of a local car dealership wants to conduct a customer satisfaction survey, then the group of people should make up a sample of the population will be the people who bought cars from the dealership

Answer:

c

Step-by-step explanation:

Answer:

good it is pc

Step-by-step explanation:

Answer:

2x(7×3)+(7×6)+(3×6)= 162ft

Y = 20

X = 70

We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.

Answer:

28

Step-by-step explanation:

As one can see, the given diagram has two perpendicular lines. This means that two lines intersect each other at a right angle, therefore all of the resulting angles are (90) degree angles. This is indicated by one of the boxes around the angle. Moreover, this means that the angle that measures (62) degrees, plus angle (1) forms a (90) degree angle. Using this information, make an equation and solve for the measure of angle (1);

62 + (m<1) = 90

Inverse operations

62 + (m<1) = 90

m<1 = 28

Step-by-step explanation:

You should be breaking this up

One

Decimal between 0.2222 and 0.2223 would be something like 0.22225

Two

1 mile = 5280 feet

1 mile = 5280 feet * 12 = 63360 inches

4 miles = 253440 inches

answered on my cell phone. I can't really do this.

Answer:

44.94

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

i dont understanding that

Answer:

1. 30

2. 370

3. 470

4. 100

Step-by-step explanation:

for one, add the amount of students that play sports and subtract it from 500. for two, add the number of people that only play soccer and only play basketball. for three, take away the 30 people from the 500 kids that don't play. for four, it says 100 people play both.

Answer:

Step-by-step explanation:

[tex]V=\frac{4}{3}\pi r^3~=>r=\sqrt[3]{\frac{3V}{4\pi}}=\sqrt[3]{\frac{3*260cm^3}{4\pi}}=3.96 \approx4[/tex]

Answer:

C) 5.66

Step-by-step explanation:

For a 45-45-90 triangle, the length of each leg length (not including the hypotenuse) is congruent to each other. If 8=y√2, then y=8/√2=4√2=5.66

Answer:

5.66

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45 =adjacent /hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] =y/8

[tex]\frac{1}{\sqrt{2} } *8=y[/tex]

[tex]\frac{8}{\sqrt{2} }=y[/tex]

[tex]4\sqrt{2} =y[/tex]

5.66=y

Answer:

-2

Step-by-step explanation:

If you draw a line from a to a^1 and cut that line in half, that’s the line of reflection (or think of it as a line of symmetry if that helps). You use a and a^1 because a^1 is the reflection of point a

Answer:

4.58

Step-by-step explanation:

Answer:

is there anything else beside this

Step-by-step explanation:

9514 1404 393

Answer:

  (0, 0), (3, 5)

Step-by-step explanation:

When the graph represents direct variation, it passes through the origin (0, 0) and any points that have the same y/x ratio. Here, that ratio is 10/6 = 5/3, so points like (3, 5) and (9, 15) will be on the graph.

Answer:

Third table

Step-by-step explanation:

For the relationship to be proportional

y/x = constant

First table y/x = 8/4 = 2    then 7/11 doesn't =2  so it is not

Second table y/x =52/5 = 5    then 49/7 doesn't =5  so it is not

Third table y/x = 3/6=1/2    then 5/10 = 1/2   then 7/14 = 1/2  it is proportional

Last table y/x = 6/3 = 2    then 11/8 doesn't =2  so it is not

[tex]\longrightarrow{\green{A.\:-8}}[/tex] ✔

Step-by-step explanation:

[tex]f(x )= - {x}^{2} + 1[/tex]

Plugging in the value "[tex]x\:=\:-3[/tex]" in the above expression, we have

[tex]f( - 3) = - ({ - 3})^{2} + 1 \\ \\ = - ( - 3 \times - 3) + 1 \\ \\ = - (9) + 1 \\ \\ = - 9 + 1 \\ \\ = - 8[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex] \quad \quad \quad \quad \tt{f(x) = { - x}^{2} + 1} \: \: when \: \: x = - 3[/tex]

[tex] \quad \quad \quad \quad \tt{ ⟶f(x) = { - x}^{2} + 1}[/tex]

[tex] \quad \quad \quad \quad \tt{⟶f(-3) = {- (-3)}^{2} + 1}[/tex]

[tex] \quad \quad \quad \quad \tt{⟶ f( - 3) = { - (9) + 1}}[/tex]

[tex]\quad \quad \quad \quad \tt{⟶ f( - 3) = { - 9 + 1}}[/tex]

[tex]\quad \quad \quad \quad \tt{ ⟶f( - 3) = { -8}}[/tex]

[tex]\quad \quad \quad \quad \boxed{\tt{ \color{green}f( - 3) = { - 8}}}[/tex]

_________

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Answer:

11

Step-by-step explanation:

3/7*14=6

5/8*8=5

6+5=11