a group of people were given a personality test to determine if they were Type A or Type B. the results are shown below Type A Male = 55, Type B Male = 48, Typa A female= 75,
compare P(Male or Type B) with P(Male | Tyoe B)

Answer:

see below

Step-by-step explanation:

for 1)

angle y = 180 - 110 = 70 degrees

angle z = angle y = 70 degrees

angle x = 89 degrees

for 2)

angle 1 = 180 - 85 = 95 degrees

angle 2= 180 - 95 - 85 degrees

angle 3 = 180-95 = 85 degrees

for 3)

m angle 3 = 25 degrees, same as m angle 1

Population growth represents the rate at which the population changes

Given that:

[tex]r_1 = 2[/tex] ----- i.e. when the population doubles

[tex]r_2 = \frac{1}{2}[/tex] ----- i.e. when the population cut in halves

Population growth is represented as: [tex]A_n = ar^{n}[/tex]

Organism A

For the first 5 days (when it doubles) is:

[tex]A_5 = ar_1^{5[/tex]

Substitute [tex]r_1 = 2[/tex]

[tex]A_5 = a\times 2^{5[/tex]

For the next 3 days (when it cut in halves) is:

[tex]A = A_5 \times r_2^3[/tex]

Substitute [tex]A_5 = a\times 2^{5[/tex] and [tex]r_2 = \frac{1}{2}[/tex]

[tex]A= a \times 2^5 \times (\frac{1}{2})^3[/tex]

Apply law of indices

[tex]A = a \times 2^5 \times 2^{-3[/tex]

[tex]A = a \times 2^{5-3[/tex]

[tex]A = a \times 2^{2[/tex]

So, the growth factor of organism A is:

[tex]A = a \times 2^{2[/tex]

Organism B

For the 8 days, we have:

[tex]B=ar_1^8[/tex]

[tex]B=a\times 2^8[/tex]

The expression (n) for the number of times the population of B is greater than A is:

[tex]n = \frac BA[/tex]

This gives:

[tex]n = \frac{a \times 2^8}{a \times 2^2}[/tex]

[tex]n = \frac{2^8}{2^2}[/tex]

Apply law of indices

[tex]n = 2^{8-2}[/tex]

[tex]n = 2^{6}[/tex]

The expression that is not in exponential form is:

[tex]n = 2 \times 2\times 2\times 2 \times 2\times 2[/tex]

[tex]n = 64[/tex]

Hence:

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Step-by-step explanation:

11) x^5

12) 5x^2

13) x+21

14) 2x-8

15) 3^3

=3*3*3

=27

16)2^5

=2*2*2*2*2

=32

17) 5^4

=5*5*5*5

=625

18)2 times a number p squared

19)3 times a number m fifth power

20)the addition of half a number and 2

there :))) check out image I could attach one image...sorry

Answer:

see explanation

Step-by-step explanation:

(7)

(25x + 8) and (9x + 2) are adjacent angles and sum to 180° , then

25x + 8 + 9x + 2 = 180 , that is

34x + 10 = 180 ( subtract 10 from both sides )

34x = 170 ( divide both sides by 34 )

x = 5

Then

9x + 2 = 9(5) + 2 = 45 + 2 = 47

(7y + 5) and (9x + 2) are vertical angles and are congruent , so

7y + 5 = 47 ( subtract 5 from both sides )

7y = 42 ( divide both sides by 7 )

y = 6

------------------------------------------------------

(8)

(11x - 24) and (7x + 30) are vertical angles and are congruent, so

11x - 24 = 7x + 30 ( subtract 7x from both sides )

4x - 24 = 30 ( add 24 to both sides )

4x = 54 ( divide both sides by 4 )

x = 13.5

Similarly

(17y - 4) and (5y + 38) are vertical angles and congruent , then

17y - 4 = 5y + 38 ( subtract 5y from both sides )

12y - 4 = 38 ( add 4 to both sides )

12y = 42 ( divide both sides by 12 )

y = 3.5

Answer:

Protractor can be used to determine if two segments are congruent.

Step-by-step explanation:

Learn more about protractor, refer :

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Answer:

73 and - 17

Step-by-step explanation:

Let the number be x and y, ATQ, 6(x+y)=324 and x-y=90, x+y=56 and x-y=90, x=73 and y=-17

Summation exists the addition of a series of any kind of numbers, named addends or summands; the result is their sum or total.

In mathematics, summation exists the addition of a series of any kind of numbers, named addends or summands; the result is their sum or total.

A sum exists as the result of an addition. For example, adding 1, 2, 3, and 4 provides the sum of 10, written. (1) The numbers being summed are named addends, or sometimes summands.

A summation, also named a sum, is the outcome of arithmetically adding numbers or quantities. A summation always includes a whole numeral of terms. There can be as irregular as two terms, or as many as a hundred, a thousand, or a million. Some summations include infinitely many terms.

Let the number be x and y,

ATQ, 6(x+y)=324 and

x-y=90, x+y=56 and

x-y=90,

x=73 and

y=-17

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Answer:

x=30

Step-by-step explanation:

see in the picture .all steps are there

Step-by-step explanation:

The answer is mentioned above.

Hope it helps.

Answer:

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

thats answrr gimme that brainliest

answer is 123

Step-by-step explanation:

-135-(-258)

as we then - x - = +

then -135+258

and we got answer 123

Step-by-step explanation:

a)

(a+p)y=q-p

a+p=q-p/y

a=q-p/y - p

b)

x²-y²=a

x²=a+y²

x=√a+y²

c)

P=V²/R

R=V²/P

d)

3ab+s=a²b

s=a²b-3ab

e)

x²y=5k-4

x²=5k-4/y

f)

y=√x+2ac

y²=x+2ac

x=y²-2ac

g)

q-p+r=s³

p=q-r-s³

h)

2xy=4ak

x=4ak/2y

j)

7k+h-q=2q

q=7k+h-q/2

Note:if yoy have any question to ask,let me know.

Answer:

(-1,3)

Step-by-step explanation:

Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

First add the two values

=⅓+⅑

LCM=9

=⅓x3+⅑

=

[tex] \frac{3}{9} + \frac{1}{9 } = \frac{4}{9} [/tex]

Answer:

Step-by-step explanation:

I would say it is B

An inference is something that is not directly stated by logical deduction can be a reasonable conclusion to a conclusion drawn.

Example

There was a  person standing in front of me waiting for a bus. I made it guess that it was a girl because she was wearing pink shoes and had a pink phone in her back pocket.

I know that's a bit sexist, but I could not think of another answer. You should, however, note the evidence.

Step-by-step explanation:

P - 12.95 = 44

P = 56.95

is it right?

Answer:

C

Step-by-step explanation:

distance Y multiply 1.0936

Answer:C

Step-by-step explanation:

M=Y(1.0936)

The bracket also represents multiplication

Answer:

6

Step-by-step explanation:

36 / 6 = 6

A hexagon's six sides are all equal to a sixth of the perimeter.

Answer:

x=7

Step-by-step explanation:

2x+3(x-1)=3x+11

___________________________________________

2x+3x-3=3x+11

-2x  -11        -2x -11

-7=1x

x=7

Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

The parts of mathematics in which letters and other general systems are used to represent number and quantities in formulas and equations.

Answer:

Step-by-step explanation:

Let the number of games is g

Total cost at Mar Vista:

Total cost at Pinz:

Since same amount spent in both places, we have:

Answer:

12

Step-by-step explanation:

Let the game be x

3.5x + 2 = 3.25x + 5

3.5x - 3.25x = 5 - 2

0.25x = 3

x = 3/0.25

x = 300/25

x = 12

Answer:

[tex]\displaystyle QUADRANT\:III[/tex]

Step-by-step explanation:

[tex]\displaystyle [POSITIVE, NEGATIVE] → QUADRANT\:IIII \\ [NEGATIVE, NEGATIVE] → QUADRANT\:III \\ [NEGATIVE, POSITIVE] → QUADRANT\:II \\ [POSITIVE, POSITIVE] → QUADRANT\:I[/tex]

I am joyous to assist you at any time.

Answer:

B.16 mins start from home to school or school to home

Step-by-step explanation:

I. When bike is faster than walk 3 times

  Jane is in the middle of way to school

  if she walk mid point to school is 4 mins

 then mid point to home is 4 * 3 = 12 mins

 School + Home = Total Mins

 4 + 12 = 16

More discuss, leave comment below.

Answer:

64.00

Step-by-step explanation:

64.00 is the correct answer.

63.999 rounded to 2 decimal places is 64.00

In rounding off numbers, if the first figure dropped is 5, and all the figures following the five are zero or if there are no figures after the 5, then the last figure kept should be increased by 1 if that last figure is odd.

For example, if only two decimals are to be kept, then 6.755000 becomes 6.76.

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Answer:

Step-by-step explanation:

Answer:

2 is vertical opposite to 4 and 3 is vertical opposite to 1

Hi ;-)

[tex]-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}[/tex]

Answer:

50 pencils in total

Step-by-step explanation:

5 boxes * 10 in each  = 50 pencil in total