Writing a two-column proof

Answer:

A total of  

360

people were surveyed. Of the people surveyed,  

70

said they were an early bird and preferred tea. The percentage of people surveyed who are night owls is  

60

%. The percentage of early birds who prefer to drink tea is  

49

%.

Step-by-step explanation:

The last row and the last column give the total number of people surveyed, which is 360.

The joint frequency of the Early Bird column and the Tea row show that 70 people said they were an early bird and preferred tea.

To get the percentage of night owls, divide the total number of night owls by the total number of people surveyed and multiply by 100:

To get the percentage of early bird tea drinkers, divide the joint frequency of early birds and tea by the marginal total number of early birds and multiply by 100:

From total of 360 people surveyed, 70 people are early birds and preferred tea. Hence night owls is 60% and people who prefer to drink tea is 49%

A survey is a method of data collection and can be in the form of questionnaires and interviews. The survey tells us about the demands and needs of the people.

As per the question, the last row and column give us a total of 360. Those who are early birds and take tea are 70% of the population. To get the percentage we need to X night owls by the number of people surveyed multiplied by 100.

For the early bird tea, the total frequency of early birds by the marginal total number of early birds multiplied by 100.

Find out more information about the survey.

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Answer:

a,b,d,f

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

Answer: i belive its 140 i really coudn't tell.

Step-by-step explanation:          

I used the protactor and  I aligned it agaist the problem. Hope this helps. :)  

By that i meant i got my protactor and I aligned it on the tiny dot you can see, the arrow  pointed onto the number.  I really don't think there is much to explain. If their is any confusion i will re-write it.

Answer:

the answer for this question is 110

Answer:

0

Step-by-step explanation:

Let us take sin(60 degree + theta) =x

Substituting x in equation

=> x-x

=> 0

Step-by-step explanation:

Hey there!!

= Sin (60°+0) - sin (60°-0)

= sin 0° - sin0° { as sin0° = 0}.

= 0-0

=0.

Hope it helps...

Answer:

x = 2 y = 4

Step-by-step explanation:

y = 3x - 2

x = y - 2

Plug in the equation of x into the first equation and solve for y.

y = 3x - 2

y = 3(y - 2) - 2 Multiply out

y = 3y - 6 - 2

y = 3y - 8     Add 8 to each side

y + 8 = 3y - 8 + 8      8 cancels on the right

y + 8 = 3y          Subtract y from each side

y - y + 8 = 3y - y       The y on the left cancels

8 = 2y      Divide each side by 2

8/2 = 2y/2   2 on the right cancels because 2/2 = 1

8/2 = y

4 = y  

Now plug your answer into the 2nd equation given to solve for x.

x = y - 2

x = 4 - 2

x = 2

Answer:

x=4

Step-by-step explanation:

4x+2=18

   -2   -2

4x=16

divide both sides by 4 to get 4

Answer:

The difference between the high and low temperature in the thermometer is 23°F.

Step-by-step explanation:

Given information: Highest temperature = 20°F and the lowest temperature = -3°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 20°F - (-3°F)

Difference = 20°F + 3°F

Difference = 23°F

Therefore the difference between the high and low temperature in the thermometer is 23°F.

Answer:  i) 216 liters        ii) 60 cm

Step-by-step explanation:

i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters

ii) [tex]\sqrt[3]{216,000\ cm^3} =60\ cm[/tex]

Factor like terms..

(ax + ay) + (3bx + 3by)

= a(x + y) + 3b(x + y)

Finally, group the common factors of x + y and collect the terms to get:

(x + y )(a + 3b)

The factors of the given expression are (x + y ) and (a + 3b).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been given that expression as :

ax + ay + 3bx + 3by

We have to factorize the given expression.

⇒ ax + ay + 3bx + 3by

Factor like terms.

⇒ (ax + ay) + (3bx + 3by)

⇒ a(x + y) + 3b(x + y)

Take out the common factors of x + y and combine the terms to get:

⇒ (x + y )(a + 3b)

Therefore, the factors of the given expression are (x + y ) and (a + 3b).

Learn more about the Expressions here :

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Answer: in a quiet room or the library,

also you better summarize your geometry lessons and remember the formulas :P

Answer: 0.9973 .

Step-by-step explanation:

Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.

Let X denotes the random variable that represents the weights of students .

Then, the probability that a student drawn at random will weigh less than 150 lbs will be :

[tex]P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}][/tex]

Hence, the e=required probability is 0.9973 .

Answer:

[tex] { \:( {6}^{10})}^{ - 7} [/tex]

Step-by-step explanation:

For all choices the exponent are addeed not multiplied.

hope it helps ❤❤❤

For any question comment me

Answer:

1452.9

Step-by-step explanation:

Answer: 4

Step-by-step explanation: cause the chart has 4 number 3

Answer:

-16/3

Step-by-step explanation:

To solve for this use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First multiply -4 and 2 (-8)

(-8)^2/2-9-5

Next find out what -8 squared is (64)

64/2-9-5

Now simplify the denominator

64/-12

Lastly, divide 64 and -12

-16/3

Answer:

I think the answer is P=3s-5000

Step-by-step explanation:

you wouldn't subtract anything from the 5000, you would subtract the 5000 from how much you made from the sandwiches.

hope that helps

Given :

A sequence of numbers consists of natural numbers that are

not perfect squares.

To Find :

The 1000th member of this  sequence .

Solution :

Now , [tex]31^2=961[/tex] and [tex]32^2=1024[/tex] .

So , there are 31 numbers before 1000 which are perfect square .

Therefore , the [tex]999^{th}[/tex] is 1000+31 = 1031 .

Also , the first perfect square after 1000 is 32 .

So , we have to continue to 1031 + 1 = 1032 to compensate for the 32nd square.

Therefore , the 1000th member of this  sequence is 1032 .

Hence , this is the required solution .

Answer:

X= Negative 2/3 or -0.6

Step-by-step explanation:

here you go

Step-by-step explanation:

8.05 * 10^8 - 9.16 * 10^6

= 10^6 * (8.05 * 10^2 - 9.16)

= 10^6 * (805 - 9.16)

= 10^6 * (795.84)

= 10^8 * 7.9584

Therefore the answer in scientific notation is 7.9584 * 10^8.

Alr im not smart ok sorry to not answer it right but i think its 2^2 kilograms

Answer:

approximately 9

Step-by-step explanation:

6 squared (36) plus 8 squared (64) is 84, and the square root of that is about 9

Answer:

10cm

Step-by-step explanation:

a²+b²=c²

6²+8²=c²

36+64=c²

100=c²

10=c

Answer:

only a

Step-by-step explanation:

Answer: The answer would be B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: A: (4-g) 1.5

Step-by-step explanation:

Answer:

A-11

Step-by-step explanation:

Correct on EDGE

The value of the function k(h(10)) will be 11. The correct option is A.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)

k{h(t)} = k{ t²+t+ 12}

Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12

k(h(t)) = √{(t²+t+ 12)-1}

k(h(t)) = √t²+t+12-1

k(h(t)) = √t²+t+11

Substituting t = 10 into the resulting function;

k(h(10)) =  √(10)²+(10)+11

k(h(10)) = √100+10+11

k(h(10)) = √121

k(h(10))= 11

Therefore, the value of the function k(h(10)) will be 11. The correct option is A.

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This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.

You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.

Meaning that [tex]2x=8[/tex]

So [tex]x=4[/tex]

Hope this helps.

頑張って!

Answer:

R(-2,-1)

S(-1,-5)

T(2,-3)

Step-by-step explanation:

First, you flip all coordinates to their exact points, just of the other side of the y-axis.

Then, you just gotta graph it and rotate it 180* around the origin.

Answer:

3x²+13x-30

Step-by-step explanation:

3x×x =3x²

3x×6= 18x

-5×x = -5x

-5×6=-30

Connect them together to form:

3x²+13x-30

(I got the 13x by doing 18x-5x)

Answer:

y = 2

Step-by-step explanation:

Step 1:

6y + 18 = 30

Step 2:

6y = 12

Answer:

y = 2

Hope This Helps :)

Answer:

10^5=100000

Step-by-step explanation: