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2 years ago

For a science project, a student plants seeds of 2 different varieties of corn plants. The table displays the

Mathematics

1 answer:

VLD [36.1K]2 years ago

3 0

Answer:

The average inches of the height of the corn plants of variety A is 43.8 inches

Step-by-step explanation:

In mathematics or statistics, the mean refers to the average of numbers.

The mean is estimated by dividing sum of all the numbers by the count of the numbers.

For this question, the mean height of the corn plants of variety A of 43.8 inches is obtained as follows:

Sum of all the inches = 46 + 46 + 47 + 48 + 49 + 49 + 50 + 6 + 48 + 49 = 438 inches

Count of all the inches = 10

Mean = Sum of all the inches / Count of all the inches = 43.8 inches

The interpretation of this is that the average inches of the height of the corn plants of variety A is 43.8 inches.

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Simplify x+2/x^2-6x-16 divided by 1/9x a. 10x/x+4 b. x+4 c. 10x^2(x+2)/x+6 d. 9x/x-8

mel-nik [20]

The answer for x^2-6x-16 is (x-8) (x+2) or x = -2

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2 years ago

Triangle Q R S is shown. Angle Q R S is a right angle. Angle R S Q is 30 degrees and angle S Q R is 60 degrees. The length of R

brilliants [131]

The value of sin(30°) is: One-half ⇒ 2nd answer

Step-by-step explanation:

In a right triangle there are two acute angles, the side opposite to the right angle is called hypotenuse, and the other two sides are opposite and adjacent to the acute angles

sine the acute angle (sin) = opposite side to it/hypotenuse
cosine the acute angle (cos) = adjacent side to it/hypotenuse
Tangent the acute angle (tan) = opposite side to it/adjacent side to it

In Δ QRS:

∵ m∠QRS = 90°

∵ SQ is opposite to ∠QRS

∴ SQ is the hypotenuse

∵ SQ = 10 units

∴ The hypotenuse = 10

∵ m∠RSQ = 30°

- The opposite side to ∠RSQ is RQ

∵ RQ = 5 units

∴ The opposite side to the angle of 30° = 5

∵ sin(30°) = opposite side to 30°/hypotenuse

∵ The opposite side to angle 30° = 5

∵ The hypotenuse = 10

∴ sin(30°) = $\frac{5}{10}$

∴ sin(30°) = $\frac{1}{2}$

The value of sin(30°) is: One-half

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/9880052

#LearnwithBrainly

5 0

2 years ago

Read 2 more answers

A field has an area of 9/20 square mile. find the width of the fieldif the length is 10/9 mile long

marusya05 [52]

The answer is 12/15

7 0

2 years ago

Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random

lesya692 [45]

Conditional probability is a measure of the probability of an event given that another event has occurred. If the event of interest is A and the event B is known or assumed to have occurred, "the conditional probability of A given B", or "the probability of A under the condition B", is usually written as P(A|B), or sometimes $P_B(A)$ .

The conditional probability of event A happening, given that event B has happened, written as P(A|B) is given by
$P(A|B)= \frac{P(A \cap B)}{P(B)}$

In the question, we were told that there are three randomly selected coins which can be a nickel, a dime or a quarter.

The probability of selecting one coin is $\frac{1}{3}$

Part A:
To find the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter, let the event that all three coins are quarters be A and the event that the first two envelopes Jeanne opens each contain a quarter be B.

P(A) means that the first envelope contains a quarter AND the second envelope contains a quarter AND the third envelope contains a quarter.

Thus $P(A)= \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1}{27}$

P(B) means that the first envelope contains a quarter AND the second envelope contains a quarter

Thus $P(B)= \frac{1}{3} \times \frac{1}{3} = \frac{1}{9}$

Therefore, $P(A|B)=\left( \frac{ \frac{1}{27} }{ \frac{1}{9} } \right)= \frac{1}{3}$

Part B:
To find the probability that all three coins are different if the first envelope Jeanne opens contains a dime, let the event that all three coins are different be C and the event that the first envelope Jeanne opens contains a dime be D.

$P(C)= \frac{3}{3} \times \frac{2}{3} \times \frac{1}{3} = \frac{6}{27} = \frac{2}{9}$

 $P(D)= \frac{1}{3}$ 

Therefore, $P(C|D)=\left( \frac{ \frac{2}{9} }{ \frac{1}{3} } \right)= \frac{2}{3}$

3 0

2 years ago

A population of 550 rabbits is increasing by 7.5% each year. in about how many years will the population be over 1000?

Furkat [3]

I believe this would take the form of an exponential equation:

A = Ao (1 + r)^t

where A is final population, Ao is initial population, r is rate of growth and t is time

A / Ao = (1 + r)^t

log A / Ao = t log (1 + r)

t = (log A / Ao) / log (1 + r)

t = [log (1000 / 550)] / log (1.075)

t = 8.27 years

SO the answer is B) about 9 years

5 0

2 years ago