A forest has a large number of tall trees. The heights of the trees are normally distributed with a mean of 78 metres and a standard deviation of 9 metres.
Sketch and label a normal curve that represents the heights of trees.

Answer:

5x-3(x-2)=4

5x-3x+6=4

2x+6=4

2x= 4-6

2x= -2

x = -1

Answer: the answer is 35. Are you in k12?

Answer:

a) [tex]-5x^{2}[/tex] + 6x + 8

b) 6 - 7x

c) [tex]-12x^{2}[/tex] - 7x +4

d) 2x + 5

Step-by-step explanation:

a) (5x + 4) – (x – 2)

(5x + 4) (-x + 2)

[tex]-5x^{2}[/tex] + 10x - 4x + 8

[tex]-5x^{2}[/tex] + 6x + 8

b) (6 – 3x) + (x – 5x)

6 – 3x + x – 5x

6 - 7x

c) (4x + 5) – (3x – 2) – 6

(4x + 5)  (–3x + 2) – 6

[tex]-12x^{2}[/tex] + 8x -15x + 10 -6

[tex]-12x^{2}[/tex] - 7x +4

d) 9x + 5 – 7x

2x + 5

hope this helps!

Answer:

Step-by-step explanation:

here

total surface area(TSA)= 462 cm²

TSA=3πr²

462 = 3*22/7*r²

462*7=66r²

3,234=66r²

3,234/66=r²

49=r²

√(49=r

r=7

therefore the radia of the hemisphere is 7

now,

volume of hemisphere(V) = (2/3)πr²

V=(2/3)*(22/7)*7²

V=44*7

V=308

Answer:

v=2/3piercube

=2/3×22/7×7×7×7

=2156/3

=718.67cmcube

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles:

  x° = 50° + 60°

  x° = 110°

Answer:

x = 90

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then

x = ∠ A + ∠ B = 30 + 60 = 90

4(2x-5)+7(x+2)

bracket means multiplying

do 4(2x+5) first

4*2x=8x

4*-5=-20

7*x=7x

7*2=14

8x-20+7x+14

do the x first

8x+7x=15x

-20+14=-6

answers: 15x-6 or -6+15x

Answer:

x=2

Step-by-step explanation:

Add 4 to both sides:

-2=-4+x​

-2+4=-4+4+x​

2=x

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

First we must add 4 to both sides.

[tex]-2 = -4 + x[/tex]

+4      +4

-4 + 4 = 0

-2 +4 = 2

Isolating a variable means that it is alone on its side of the eqation.

[tex]2 = x[/tex]

x is now isolated and we also have the solution for it.

[tex]x = 2[/tex]

Answer:

There are 2 terms in the given expression.

Step-by-step explanation:

A term is a simple math expression.

In the expression given, there are two terms: '7h' and '3'.

'7h' - '3​'

Hope this helps.

Answer:

Ants and by roughly 118,615,000mg greater.

Step-by-step explanation:

According to a quick online search, a regular house fly weighs on average 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.

Flies: 3,990,000 * 11.5mg = 45,885,000mg

Ants: 47,000,000 * 3.5mg = 164,500,000mg

Therefore, based on this calculation we can clearly see that the 47 million ants will have a greater mass and this mass would be approximately

164,500,000 - 45,885,000= 118,615,000mg greater

The ants and by roughly 118,615,000mg greater.

We have given that,$3.99$ million flies or $47,000,000$ ants have a greater mass

A regular house fly weighs on average weighs on 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.

Therfore we can write it as,

Flies: 3,990,000 × 11.5mg = 45,885,000mg

Therefore we get the files mass 45885000mg

For Ants,

47,000,000 * 3.5mg = 164,500,000mg

Therefore, based on this calculation we  clear that the 47 million ants will have a greater mass and this mass would be approximately

164,500,000 - 45,885,000= 118,615,000mg greater

To learn more about the mass visit:

https://brainly.com/question/19385703

Answer:

a) 9

b) 4

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

a.9

b.4

Step-by-step explanation:

Hope it helps u....

Answer:

The "paradox" is flawed because if there exists an unstoppable force, it follows logically that there cannot be any such thing as an immovable object and vice versa.

Step-by-step explanation:

:>

Answer:

nothing happens

Step-by-step explanation:

probably incorrect :0

Answer:

It would be about $9

Step-by-step explanation:

you would round $10.80 to $11 because it says to estimate and then you do 20-11 which is 9 so the answer is $9

The required amount that the cashier returned to Allie is 7.20.

Given that,

Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. To estimate the amount of change the cashier should give Allie.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Paid amount = $20
Cost of the project = $10.80
Returned amount = 20 - 10.80
Returned amount = $7.20

Thus, the required amount that the cashier returned to Allie is 7.20.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Answer:

the equations are off

Step-by-step explanation:

x represents adults cost 10 not 20

y childen at g

x+y  less than 25 people

10(x) + 6(y) greater than 200 dollars

Answer:

19,6

Step-by-step explanation:

Answer:

337.5 mg

Step-by-step explanation:

A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours

Hence: the number of doses or times the antibiotic would be administered =

48 hours/6 hours = 8 doses(times)

The amount of antibiotic that should be given in each dose is:

48 hours = 2700 mg

6 hours = x mg

Cross Multiply

48x = 2700 mg × 6 hours

x = 2700mg × 6/48

x = 2700/8

x = 337.5 mg

Answer:

(x - 4)² = 24y

Step-by-step explanation:

In a parabola with focus at (x, y) and directrix at y = k - p, we can write;

Focus: (h, (k + p))

Directrix: y = k - p

We are given focus at (4, 6)

Thus;

h = 4 &

k + p = 6 - - - (1)

Also, directrix at y = -6

Thus;

k - p = -6 - - - (2)

Adding eq(1) and eq(2) together gives us;

2k = 0

k = 0

Thus, p = 6

The equation takes the formula;

(x - h)² = 4p(y - k)

Plugging in the relevant values;

(x - 4)² = 4(6)(y - 0)

(x - 4)² = 24y

Answer:

(x-4)^2=24y

Step-by-step explanation:

I took the test and got it right.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

9(x+1)=25+x

9x+9=25+x  subtract x both sides

8x+9=25    subtract 9 both sides

8x=16  divide by 8

x=2

Answer:

Step-by-step explanation:

11/334 pounds= roughly 0.329 a pound or 0.33

Answer:

6

Step-by-step explanation:

To find the greatest common factor of two numbers you find the largest number that can evenly go into both numbers

For example, the greatest number that can even;y go into 12 and 18 is 6

6 x 2 = 12

6 x 3 = 18

There is no number greater than six that can evenly go into both of those numbers therefore it must be the GCF

Answer:

The GCF of 12 and 18 is 6 and here's how you get it...

Step-by-step explanation:

First, you need to compare the factors of 12 and 18.

12: 1, 2, 3, 4, 6, 12

18: 1, 2, 3, 6, 9, 18

To get the factors of the number, look for want numbers can be divided by that number and still get a whole number. Ex. (12 / 3 = 4) 3 is a factor of 12.

The GREATEST common factor you see they have in common is the GCF.

If this helps, please give me brainliest.

Answer:

Do you need the result of the end?

Step-by-step explanation:

5*3=15

15-3=12

Step-by-step explanation:

-3+5=-10

−3x+5−5=−10−5

−3x=−15

−3x÷−3=−15÷-3

x=5

(-2 4/5)(1 4/5)

=-14/5×19/5

=-14×9/5×5

=-126/25

=-5 1/25

Answer:

3. x = 5

4. -5  1/25

Step-by-step explanation:

Question 3 Solving:

your equation is -3x + 5 = -10

subtract 5 from both sides to get the term with x alone: -3x = -15

divide both sides by -3 to isolate x (remember that a minus divided by minus is plus): x = 5

To check:

plug in 5 to x and see if you get -10 on both sides

-3(5) + 5 = -10

first multiply -3 and 5:

-15 + 5 = -10

then add 5 to -15:

-10 = -10

if the number are equal then you solved the equation correctly

Question 4:

multiply the whole number by the denominator, then add the numerator to the product, and that number will be your new numerator ( make sure to leave the negative sign out of this computation)

so multiply 2 and 5 to get 10, then add 4 to get 14

your new fraction is -14/5

practice doing the same thing to the other mixed fraction

you should get a new fraction of 9/5

multiply the numerators and denominators

so multiply -14 and 9, and multiply 5 and 5

you now have -126/25

divide 126 by 25 to get your whole number of the mixed fraction

you should have -5  ?/25

to find the numerator, multiply your whole number by your denominator (25 x 5 = 125), then subtract this from your numerator of the improper fraction

126-125 = 1

now you have an answer of -5  1/25

Answer:

D. 50

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

180-130=50

Answer:

15

Step-by-step explanation:

15 is half of 30, the output values are the input values divided by 2 :)

Answer:

ANSWER IS ........... C

Step-by-step explanation:

Answer

3944

explaination:

multiply 4640 by 85%, you get 394400. next add n with one hundred. now divide 394400 by 100 and you get 3944. enjoy :)

Answer: 2(9a + 8)

Step-by-step explanation:

2 is the only common factor of both 18 and 16. You put the common factor outside of the parenthesis. You divide 2 by both numbers and put the equation in the parenthesis.

Answer:

R-{-5}

Step-by-step explanation:

you get the vertex by making the denominator =0

ex.z+5=0 ,z=-5

then we see if the rational function has a constant beside it ex. 3÷z+5-3 ,but in this you Don't have one so its 0

so the vertex would be (-5,0)

the domain =R-{-5} , range=R-{0}