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gulaghasi [49]
3 years ago
6

HH represents the height of the tree (in centimeters), t tt years since Renata moved in. H = 210 + 33 t H=210+33tH, equals, 210,

plus, 33, t How fast does the tree grow?
Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer:

Therefore the rate of growth of the tree is 33 cm/ yr.

Step-by-step explanation:

Given that,

The height of the tree is

H= 210 +33t

Here H represent the height of tree in cm and t is time in year.

The rate of growth is the first order derivative of the H with respect to time.

i.e The rate of growth  =\frac{dH}{dt}

∴H= 210 +33t

Differentiating with respect to t

\frac{dH}{dt} =0 +33

\Rightarrow \frac{dH}{dt}=33

Therefore the rate of growth of the tree is 33 cm/ yr.

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What is the equation of a line with a slope of 7 and a point (1, 8) on the line?
stira [4]
Slope: 7   given point: (1,8)

y = 7x + b          step 1 - plug in the slope in the formula
8 = 7(1) + b       step 2 - plug in the given point
8 = 7 + b           step 3 - simplify the expression
b = 1                 step 4 - solve for b
y = 7x + 1         step 5 - plug in b

formula: y = 7x + 1
6 0
3 years ago
The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency
choli [55]

Answer:

a) 0.98% probability that 17 of the 29 people are men.

b) 3.86% probability that the first woman is reached on the 8th call

Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

(a) What is the probability that 17 of the 29 people are men?

This is P(X = 17) when n = 29, p = 0.78. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098

0.98% probability that 17 of the 29 people are men.

(b) What is the probability that the first woman is reached on the 8th call?

On the first 7 trials, all men, each with a 78% probability.

On the 8th trial, a women, with a 22% probability. So

P = (0.78)^{7}*0.22 = 0.0386

3.86% probability that the first woman is reached on the 8th call

4 0
3 years ago
Sal is making bracelets for a fundraiser he uses 6 inches of yarn per bracelet how many bracelets can sal make with 5 feet of ya
natali 33 [55]
There are 12 inches in 1 foot, and each bracelet takes 6 inches
12 divided by 6 = 2
there can be 2 bracelets per foot of yarn
5 x 2 = 10 bracelets can be made
let me know if you have any further questions
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3 0
3 years ago
Read 2 more answers
What is the area of this figure? Round to the tenth if necessary.
Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

a=\pi r^2/2

<u>3.14 will be used for pi!</u>

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

a=lw

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

32/2=16

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

\pi 16^2/2=401.92

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

14*32=448.

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

401.92+448

=849.92

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0
2 years ago
I NEED HELP !!!!!!!!!!!!!!!!!
Mama L [17]

Answer:

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Step-by-step explanation:

4 0
2 years ago
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