Find the value of w. w= ?

Find the area please :)

Delicious77 [7]

Answer:

it's area is 1/2 b×h

1/2×7×3.8

13.3

4 0

3 years ago

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Raj tried to solve the system below.

jekas [21]

Answer: Option C) Raj forgot the negative when substituting -15+9x for y.

Solution:

(1) 9x-y=15

(2) 2x+8y=28

Isolating y in the first equation. Subtracting 9x both sides of the equation:

(1) 9x-y-9x=15-9x

Subtracting:

(1) -y=15-9x

Multiplying both sides of the equation by -1:

(1) (-1)(-y)=(-1)(15-9x)

(1) y=-15+9x

Then Raj found the value of y. It's not option D.

Substitutng y by -15+9x in the second equation:

(2) 2x+8(-15+9x)=28

Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.

Eliminating the parentheses applying the distributive property in the multiplication:

(2) 2x-120+72x=28

Adding similar terms:

(2) 74x-120=28

Solving for x. Adding 120 both sides of the equation:

(2) 74x-120+120=28+120

Adding:

(2) 74x=148

Dividing both sides of the equation by 74:

(2) 74x/74=148/74

Dividing:

(2) x=2

Solving for y: Replacing x by 2 in the first equation:

(1) y=-15+9x

(1) y=-15+9(2)

Multiplying:

(1) y=-15+18

Subtracting:

(1) y=3

3 0

3 years ago

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A rare form of malignant tumor occurs in 11 children in a million, so its probability is 0.000011. Four cases of this tumor occ

Shkiper50 [21]

Answer:

a) The mean number of cases is 0.14608 cases.

b) The probability that the number of cases is exactly 0 or 1 is 0.990.

c) The probability of more than one case is 0.010

d) No, because the probability of more than one case is very small

Step-by-step explanation:

We can model this problem with a Poisson distribution, with parameter:

$\lambda=r*t=0.000011*13,280=0.14608$

a) The mean amount of cases is equal to the parameter λ=0.14608.

b) The probability of having 0 or 1 cases is:

$P(k=0)=\frac{\lambda^0 e^{-\lambda}}{0!}=\frac{1*0.864}{1} =0.864\\\\ P(k=1)=\frac{\lambda^1 e^{-\lambda}}{0!}=\frac{0.14608*0.864}{1} =0.126\\\\P(k\leq1)=0.864+0.126=0.990$

c) The probability of more than one case is:

$P(k>1)=1-P(k\leq 1)=1-0.990=0.010$

d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.

7 0

3 years ago

The statue or liberty is 305 feet tall measuring from the ground to the tip of the torch if the model is 1/100 the actual size o

sergejj [24]

Given:

Height of statue or liberty from the ground = 305 feet

Model is $\dfrac{1}{100}$ the actual size of the statue of liberty.

To find:

The height of the model of statue.

Solution:

According to the question,

Model = $\dfrac{1}{100}$ of the actual size

$=\dfrac{1}{100}\times 305$

$=3.05$

Therefore, the height of the model of statue is 3.05 feet.

8 0

3 years ago

Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10 from e

serious [3.7K]

Answer:

$1200.

Step-by-step explanation:

We have been given that Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of $10 from each of the subscribers to her website.

First of all we will find the number of subscribers for this month.

$\text{Total number of subscribers this month}=100+30-10$

$\text{Total number of subscribers this month}=130-10=120$

Now let us multiply number of total subscribers of this month by 10 to find the amount Kiersten will earn by her online business.

$\text{Kiersten's earnings this month from online business}=120*10$

$\text{Kiersten's earnings this month from online business}=1200$

Therefore, Kiersten will earn $1200 this month by her online business.

8 0

3 years ago