Out of 90 scientists who study dinosaurs, 30 study the T-Rex, 22 study the Brontosaurs and 10 study both. How many of this group of scientists studies another speices of dinosaurs?

A trapezoid is a quadrilateral that has two parallel sides with a height.

From the diagram, AK = 1/2(AD-BC)

The combination of the bases of the equilateral triangle and the parallelogram is = the base of the trapezoid.

Therefore, BC = AD - 2AK

Make AK the subject of formula,

AK= 1/2 (AD -BC)

KD = 1/2(AD - BC). This is wrong because of the following,

BC is parallel to KD.

Therefore length of KD = BC - AK and not KD = 1/2(AD - BC).

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Answer:

y=-4

Step-by-step explanation:

graph each equation or solve by elimination/subtitution. Easiest way is using Desmos graphing calculator

Answer:

so you can know how long an objects size on the outside

Answer:

4,000 millimeters

"Milli-" means "thousand" in terms of Latin roots. That indicates we should multiply by 1,000.

4 × 1,000 = 4,000

Answer:

433.5 cm^3

Step-by-step explanation:

The volume of a cylinder is its base area times height. Therefore it can be said that:

V = 23π x 6

This is 433.539786195, which when rounded to the nearest tenth is 433.5.

Answer:

(12, 9)

Step-by-step explanation:

Answer:

1. 35.476

2. 83.33%

3. 531001

4. 3/4

5. 250%

6. 17.507

7. £29•00

8. 32

Step-by-step explanation:

math is done on calculator :)

Answer:

it's 19

Step-by-step explanation:

the answer it's 19

Answer:

BD and BC

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

common difference = d  = 2

an = a1 + (n-1)*d

a43 = 3 + 42*2  = 87

Answer:

2.75

Explain
1 3/5 = 8/5
3 7/16 = 55/16

8/5 x 55/ 16 = 440/80
440/80 : 2 = 5.5

5.5 / 2 = 2.75
Simple as that
You can check the calculator

Answer:

2.72

Step-by-step explanation:

1 3/5 is 1.6 and 3 7/16 is 3.4 so 1.6 x 3.4=5.44 and 5.44/2 is 2.72 sq u

Step-by-step explanation:

the probability of making one shot is 75% or 0.75 or 3/4.

the probability to make 2 shots is then

3/4 × 3/4 = 9/16 = 0.5625

and so on.

the probability to miss 1 shot is then 25% or 0.25 or 1/4.

the probability to make at least 4 out of 5 shots is the sum of the probability to make all 5 shots plus the probability to make 4 shots.

or the probability to miss 0 plus the probability to miss 1 shot.

anyway, we can go with the positive approach. it seems to be the same complexity as the negative approach.

the probability to make all 5 shots is

(3/4)⁵ = 3⁵/4⁵ = 243 / 1024 = 0.237304688...

the probability to e.g make the first 4 shots and miss the 5th is

(3/4)⁴×1/4 = 3⁴/4⁵ = 81 / 1024 = 0.079101563...

how many possibilities do we have to make 4 out of 5 shots ?

there is no repetition, and the sequence inside the "picked" 4 does not matter, so we need combinations :

C(5,4) = 5! / (4! × (5-4)!) = 5

so, the probability to make exactly 4 out 5 shots is

81/1024 × 5 = 405/1024 = 0.395507813...

and the total probability to make at least 4 shots is

243/1024 + 405/1024 = 648/1024 = 81/128 = 0.6328125

to control,

this plus making exactly 3 plus exactly 2 plus exactly 1 plus none must be the probability 1 (as there is no other possible outcome).

making 3 :

(3/4)³×(1/4)² = 3³/4⁵ = 27/1024

C(5,3) = 5×2 = 10

270/1024

making 2 :

3²/4⁵ = 9/1024

C(5,2) = 5×2 = 10

90/1024

making 1 :

3/1024

C(5,1) = 5

15/1024

making 0 :

1/1024

in sum

(270+90+15+1)/1024 = 376/1024

plus the 648/1024 = 1024/1024 = 1

correct.

Answer:

Mean=7

Step-by-step explanation:

Mean = Sum of numbers    = 4 + 5 + 6 + 6 + 7 + 9 + 12  = 49  =  7

           Amount of numbers                    7                            7

Answer:

6x4=24

Step-by-step explanation:24divided by 4 is 6

Answer:

Step-by-step explanation:

Circumference = 2(pi)r

Radius = Circumference/2(pi)

Circumference = 37.68

Radius = 37.68/2(pi)

Radius = about 59.18760559

Answer:

Step-by-step explanation:

Are the outcomes on the two cards independent? Why?

Yes. The events can occur together. No. The probability of drawing a specific second card depends on the identity of the first card.     No. The events cannot occur together. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

Answer:

1 - 4/9

2 - 1/9

3 - 5/9

Step-by-step explanation:

1 - Look on the left side for all two-letter combinations with only one R. We can see four. (YR, GR, RG, RY). Divide by the total number of outcomes (9).

2 - There is only one with two yellows, so divide 1 by 9.

3 - Same as before, we find 4 with 1 green and 1 with 2 green. We have to include the new one since it says atleast one. Add 1 and 4 and then divide by 9.

Answer: Its A i think, if not its C

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

8.2 x 10'4 = 82,000

10'4 = 10,000 x 8.2 = 82,00

4.5 x 10'5 =

10'5 = 100,000 x 4.5 = 450,000

(Over all, the second equation is greater giving you answer B. as the missing equation symbol)

Hope this helps!!

Answer: 2 1/4

Step-by-step explanation: theirs 2 whole so with that theirs another circle cut in 4th's and 1 is shaded so 1/4.

Answer: choice c , 2 and 1 over 4

Step-by-step explanation: as the first 2 circles are fully shared but only one 1 over 4 from the third circle is shaded so 2 and 1 over 4 as a mixed numbers . Which means 2 full circles and 1 over 4 of the third circle . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

B:21

Step-by-step explanation:

Area of parallelogram=315=base ×hight .

base =x

hight= 15

15 × x = 315

x= 315/15

=21

Answer: 23

6*6=36 total area

3*3=9

2*2=4

9+4=13

36-13=23 shaded area

We need indirectly m<POQ

See NR is a straight line so the three angles situated underneath are linear pair and supplementary

m<POQ

Answer:

C)  35°

Step-by-step explanation:

From inspection of the given diagram, it appears that the line segment NOR is the diameter of the circle (where point O is the center).

Angles on a straight line sum to 180°

⇒ ∠NOP + ∠POQ + ∠QOR = 180°

⇒ 82° + ∠POQ + 63° = 180°

⇒ ∠POQ = 180° - 82° - 63°

⇒ ∠POQ = 35°

As an arc measure equals its corresponding central angle measure:

[tex]\sf \implies \overset{\frown}{PQ}= \angle POQ[/tex]

[tex]\sf \implies \overset{\frown}{PQ}=35^{\circ}[/tex]

Answer:

centre : (2;3)

radius :

[tex] \sqrt{5} [/tex]

First image -Pentagon(Five sides).

Second image-Equilateral triangle(All sides are equal).

Answer:

-10

Step-by-step explanation:

f(-4)=-(-4)-5

f(-4)=-1

g(-6)=2(-6)+3

-12+3

g(-6)=-9

add together:

-1+-9

=-10

Answer:

a) Probability is the chance or possibility that an event will occur.

b) No,

just as the question states there is a 25% chance of this event happening in a child, so no matter the number of children they have the chances of them getting cystic fibrosis is 25% for each child and it's never guaranteed.

The algebraic expression for twice difference of a number (n) and 6 is expressed algebraically as, 2(n - 6).

An algebraic expression can be used to model word problem or a situation with the use of variables, operation signs and numbers.

Difference is minus (-)

Let n represent the unknown number.

Thus, twice difference of a number (n) and 6 is expressed algebraically as, 2(n - 6).

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Answer:

A,C,D,E is the answer

The population after 516 minutes is 171360 bacteria

From the question, we have the following parameters that can be used in our computation:

Initial, a = 10,710 bacteria

Rate = doubles i.e. 2

Using the above as a guide, we have the following:

f(x) = a(2)^x

Where x is the time

516 minutes is 4 times 129 minutes

This means that

x = 516/129 = 4

So the population after 516 minutes can be calculated as follows:

f(4) = 10710 * (2)^4

Evaluate

f(4) = 171360

Hence, the population is 171360

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1³ + 2³ + 3³

1 + 8 + 27

36

hope it helps..!!!