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3 years ago

8

The probability of a certain plant growing taller than 4 meters is 1/3. If I plant 2 of these plants, find the probability that

both of them will grow more than 4 meters tall.

1 answer:

lana [24]3 years ago

5 0

$\frac{1}{3}^2\\\frac{1}{3}*\frac{1}{3}\\\frac{1}{9}$

1 / 9

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Maci and I are making a small kite. Two sides are 10". Two sides are 5". The shorter diagonal is 6". Round all your answers to t

Art [367]

Answer:

A. 4".

B. Approximately 9.54".

C. Approximately 13.54".

Step-by-step explanation:

Please find the attachment.

Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.

We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.

A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.

We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.

We can find the value of x using Pythagorean theorem as:

$(AO)^2=(AD)^2-(DO)^2$

$x^{2}=5^2-3^2$

$x^{2}=25-9$

$x^{2}=16$

Upon taking square root of both sides of our equation we will get,

$x=\sqrt{16}$

$x=\pm 4$

Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.

B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.

We can find the value of y using Pythagorean theorem as:

$(OC)^2=(DC)^2-(DO)^2$

Upon substituting our given values we will get,

$y^2=10^2-3^2$

$y^2=100-9$

$y^2=91$

Upon taking square root of both sides of our equation we will get,

$y=\sqrt{91}$

$y\pm 9.539392$

$y\pm\approx 9.54$

Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.

C. We can see from our diagram that the length of longer diagram will be the sum of x and y.

$\text{The length of the longer diagonal}=x+y$

$\text{The length of the longer diagonal}=4+9.54$

$\text{The length of the longer diagonal}=13.54$

Therefore, the length of longer diagonal is approximately 13.54 inches.

3 0

3 years ago

What is 30% of 250 = <br>Compute with percents

Crazy boy [7]

30% of 250 can be written as 0.3 * 250:

0.3(250) = 75

30% of 250 is 75. Is this what you mean by "compute with percents?"

8 0

3 years ago

Read 2 more answers

How many ninths does it take to make the same amount as 1/3

IgorLugansk [536]

3.
ninths=1/9
1/3 is equal to 3/9.
so (1/9)*3 = 3/9

8 0

3 years ago

Read 2 more answers

NEED ANSWER FAST PLASE FAST

Dovator [93]

Answer:

D. no solution

Step-by-step explanation:

h-z=3(1)

h=3+z(minus z from both side)

put in the second equation

-3h,+3z=6(2)

-3(3+z)+3z=6

-9-3z+3z=6

-9=6( not true)

so the equation doesn't have a solution.

3 0

2 years ago

A person invests 9000 dollars in a bank. The bank pays 4.25% interest compounded daily. To the nearest tenth of a year, how long

mezya [45]

Answer:

The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

Step-by-step explanation:

4 0

3 years ago