All categories

3 years ago

6th grade math easy! (:

Mathematics

2 answers:

vichka [17]3 years ago

6 0

<h3>Answer: A) 20+10h</h3>

Work Shown:

It grows 2h inches for 4 weeks, so 2h*4 = 2*4h = 8h is the amount it grows for those 4 weeks.

Then it grows h inches per week, for 2 more weeks, giving h+h = 2h additional inches.

Overall, 8h+2h = 10h is the amount the plant grows.

It starts off at 20 inches so its final height is 20+10h

tigry1 [53]3 years ago

6 0

Answer: A) 20+10h

Work Shown:

It grows 2h inches for 4 weeks, so 2h*4 = 2*4h = 8h is the amount it grows for those 4 weeks.

Then it grows h inches per week, for 2 more weeks, giving h+h = 2h additional inches.

Overall, 8h+2h = 10h is the amount the plant grows.

It starts off at 20 inches so its final height is 20+10h

You might be interested in

A collection of 30 gems, all of which are identical in appearance, are supposedto be genuine diamonds, but actually contain 8 wo

levacccp [35]

Answer:

Step-by-step explanation:

From the given information:

There are 30 collections of gems, of which 8 are worthless;

Thus, the number of the genuine diamonds = 30 - 8 = 22.

Let X = random variable;

X consider the value as 0 (for 2 worthless stone selection),

X = 1200(1 worthless stone & 1 genuine stone)

X = 2400 (2 genuine stones selected)

However, the numbers of ways of selecting and chosen Gems can be estimated as:

$(^n_r) = (^{30}_2) \\ \\ \implies \dfrac{30!}{2!(30-2)!} \\ \\ \implies \dfrac{30!}{2!(28)!} \\ \\ \implies \dfrac{30*29*28!}{2!(28)!} \\ \\ \implies \dfrac{30*29}{2*1} \\ \\ \implies 435$

Thus;

$Pr (X = 0) = \dfrac{(^8_2)}{435}$

$Pr (X = 0) = \dfrac{\dfrac{8!}{2!(8-2)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7*6!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7}{2*1}}{435} \\ \\ Pr (X = 0) = 0.0644$

$P(X =1200) = \dfrac{(^{8}_{1})(^{22}_{1})}{435}$

$P(X =1200) = \dfrac{ \dfrac{8!}{1!(8-1)!}) ( \dfrac{22!}{1!(22-1)!}) }{435}$

$P(X =1200) = \dfrac{ (8) ( 22) }{435}$

$P(X =1200) =0.4046$

$Pr (X = 2400) = \dfrac{(^{22}_2)}{435}$

$Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(22-2)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(20)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22*21*20!}{2!(20)!}}{435} \\ \\ Pr (X =2400) = \dfrac{\dfrac{22*21}{2*1}}{435} \\ \\ Pr (X = 2400) = 0.5310$

To find E(X):

E(X) = (0 × 0.0644) + (1200 × 0.4046) + (2400 × 0.5310)

E(X) = 0 + 485.52 + 1274.4

E(X) = 1759.92

8 0

3 years ago

A hiker walks at a speed of 3 2/5 km per hour. how many km will he walk in 3/4 of an hour

Art [367]

Answer:

2.55

Step-by-step explanation:

6 0

3 years ago

Which statement is true about the graphs of the two lines y = -5/4x + 2 and y =-5/4 x-1/2 ?

oksian1 [2.3K]

Answer:

They are both parallel lines

Step-by-step explanation:

they both have the slope of -5/4

8 0

3 years ago

1. Name angle 'x' <br><br>2. calculate the size of angle 'y' <br><br>

Burka [1]

Answer:

Step-by-step explanation:

x = 35° (opposite agles)

y = 180 - 35 - 75

y = 70

-----------------------

check 35 + 75 + 70 = 180°

the answer is good

7 0

2 years ago

Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5

ale4655 [162]

Answer:

FV= $3,725.07

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,294

Number of periods (n)= 5 years

Interest rate (i)= 2.6% = 0.026

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 3,294*(1.026^5)

FV= $3,725.07

3 0

3 years ago