1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sav [38]
2 years ago
6

The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other

is 242424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?
Mathematics
2 answers:
sergejj [24]2 years ago
8 0

Answer:

Each fir tree is  9  meters tall and each pine tree is  12  meters tall.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

inn [45]2 years ago
3 0

Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Step-by-step explanation:

Let x= height of each fir tree, y = height of each pine tree.

As per given, we have

x+y = 21          (i)

4x=y+24        (ii)

From (ii),

4x-y=24            (iii)

Add (i) and (iii), we get

5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9

Put value of x in (i), we get

9+y=21\Rightarrow y=12

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

You might be interested in
Researchers working the mean weight of a random sample of 800 carry-on bags to e the airline. Which of the following best descri
Sphinxa [80]

Answer:

(E) The bias will decrease and the variance will decrease.

Step-by-step explanation:

Given that researchers working the mean weight of a random sample of 800 carry-on bags to e the airline.

We have to find out the effect of increasing the sample size on variance and bias.

We know as per central limit theorem, sample mean follows a normal distribution with mean = sample mean

and std deviation of sample mean = std error = \frac{std dev}{\sqrt{n} }

Thus std error the square root of variance is inversely proportional to the square root of sample size.

Also whenever we increase sample size the chances of bias would decrease as the sample size becomes larger

So correct answer is both bias and variation will decrease.

(E) The bias will decrease and the variance will decrease.

8 0
3 years ago
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on
jeka94

The acceleration of the object will be 10 m/s²

Step-by-step explanation:

Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

  • If y varies directly with x, then y ∝ x
  • y = k x, where k is the constant of variation

For a moving object, the force acting on the object varies directly with the object's acceleration.

Assume that the force is F and the acceleration is a

∵ F ∝ a

∴ F = k a

∵ F = 20 newtons

∵ a = 4 m/s²

- Substitute these values in the equation above to find k

∵ 20 = k (4)

∴ 20 = 4 k

- Divide both sides by 4

∴ k = 5

- Substitute the value of k in the equation

∴ F = 5 a ⇒ equation of variation

∵ F = 50 Newtons

∵ F = 5 a

∴ 50 = 5 a

- Divide both sides by 5

∴ 10 = a

∴ a = 10 m/s²

The acceleration of the object will be 10 m/s²

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

7 0
3 years ago
What is the solution to 4(x-1)-2(3x+5)=-3x-1
Margarita [4]

To solve this problem, we need to get the variable x alone on one side of the equation. To begin, we are going to use the distributive property twice on the left side of the equation to expand the multiplication and get rid of the parentheses.

4(x-1) - 2(3x + 5) = -3x -1

4x - 4 -6x - 10 = -3x - 1

Next, we should combine like terms on the left side of the equation. This means we should add/subtract the variable terms and the constant terms in order to simplify this equation further.

-2x - 14 = -3x - 1

Then, we have to add 3x to both sides of the equation to get the variable terms all on the left side of the equation.

x - 14 = -1

After that, we should add 14 to both sides of the equation to get the variable x alone one the left side of the equation.

x = 13

Therefore, the answer is 13.

Hope this helps!

4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST <br><br> 5 = h/3 - 17 <br> h = ?<br> (h/3 is a fraction)
Nat2105 [25]

Answer:

h = 66

Step-by-step explanation:

We are given the equation of one variable h and we have to solve the equation for h.

The equation is given by 5 = \frac{h}{3} - 17

⇒ 5 + 17 = \frac{h}{3} {Adding 17 to both sides}

⇒ 22 = \frac{h}{3}

⇒ h = 22 × 3 {Since we know that if \frac{a}{b} = c then we can write a = bc}

⇒ h = 66 (Answer)

7 0
3 years ago
Read 2 more answers
Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevr
fgiga [73]

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

5 0
3 years ago
Other questions:
  • Solve each system using elimination.
    5·2 answers
  • Explain how you can use the inverse relationship of addition and subtraction to solve the equation n+7=25.
    5·1 answer
  • The length of the rectangle is three times its width.The perimeter of the rectangle is at most 112 cm .
    11·1 answer
  • There are 4.5 litres of milk in a pot. The chef stirs in 2.5 g of salt and 1.2 litres of water. How much liquid is in the pot?
    12·1 answer
  • Find the exact value of X.
    6·1 answer
  • The count of bacteria in a certain experiment was increasing at a rate of 2.5% per hour. if the experiment started with 1600. fi
    13·1 answer
  • A classroom needs 3,200 paperclips for a project. If there are 200 paperclips in a package, how many packages will they need in
    10·2 answers
  • Solve the the equation by substitution<br>5x=-2y+48<br>x=-3y+20​
    11·1 answer
  • Geometry Pythagorean theorem
    5·2 answers
  • HELPP PLEASE!!!! I have a screenshot of the question because I cant copy and paste it!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!