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Ivenika [448]
3 years ago
12

A sapling, or young tree, is planted in a garden. After 3 years, it is 180 cm tall. After 7 years, it is 368 cm tall. How tall w

ill the tree be after 10 years?
Mathematics
1 answer:
kogti [31]3 years ago
5 0
It's a simple ratio table.

3 years        7 years         10 years 
180 cm        368 cm          

The difference between 3 and 7 is 4.
The difference between 180 and 368 is 188.
So every 4 years it increases 188 cm.  A rate change of 4/188 simplify this fraction to be 1/47 so every 1 year it increases by 47 cm.
So 7 to 10 years is 3 years, so 47 x 3 = 141cm.
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3 0
3 years ago
What is 33.5 % as a Decimal and a fraction?
Stolb23 [73]

p\%=\dfrac{p}{100}\\\\33.5\%=\dfrac{33.5}{100}=\dfrac{33.5\cdot10}{100\cdot10}=\dfrac{335}{1000}\\\\\dfrac{335}{1000}=0.335\\\\\dfrac{335}{1000}=\dfrac{335:5}{1000:5}=\dfrac{67}{200}

Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=\dfrac{67}{200}}

5 0
3 years ago
Read 2 more answers
Let Y be a random variable with a density function given by
Neporo4naja [7]

From the given density function we find the distribution function,

F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y

(a)

F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)

\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1

\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}

(b)

F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y

\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2

\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}

(c)

F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})

\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3

\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}

5 0
3 years ago
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid sing
Slav-nsk [51]

Answer:

I thinks its SAS

Step-by-step explanation:

SAS is Two sides and included agale of one triangle congruent to two sides

8 0
3 years ago
Which equation has a solution of n = 4?
Allushta [10]

Answer:

D. 7n = 28

Step-by-step explanation:

Let's substitute 4 for n in each equation to check if it the resulting equation is correct:

6+n=24\\ 6+4=24\\ 10\neq 24\rightarrow \text{Incorrect!}

5n=54\\5(4)=54\\20\neq54\rightarrow\text{Incorrect!}

12-n=16\\12-4=16\\8\neq16\rightarrow\text{Incorrect!}

7n=28\\7(4)=28\\28=28\rightarrow\text{Correct!}

Therefore the answer is D

4 0
2 years ago
Read 2 more answers
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