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2 years ago

14

Using the equation in the previous problem calculate how long of a massage jaiden can have is she has approximately $180 the equ

ation is y=-2x+30

1 answer:

irakobra [83]2 years ago

7 0

180=-2x+30
x=-75

i think this is what we’re supposed to do

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Find the number b such that the line y = b divides the region bounded by the curves y = 25x2 and y = 1 into two regions with equ

Dennis_Churaev [7]

Answer:

y=1/∛4 divides the area in half

Step-by-step explanation:

since the minimum value of x² is 0 (for x=0 ) and for y=1

1 = 25*x² → x= ±√(1/25) = ±1/5

then the total area between y=1 and y = 25*x² is bounded to x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus

Area below x=C = Area above x=C

Area below x=C = Total area - Area below x=C

2*Area below x=C = Total area

Area below x=C = Total area /2

∫ 25*x² dx from x=c to x=-c = 1/2 ∫ 25*x² dx from x=1/5 to x=-1/5

25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]

2*c³/3 = (1/5)³/3

c = 1/(5*∛2)

thus

y=25* x² = 25*[1/(5*∛2)]² = 1/∛4

thus the line y=1/∛4 divides the area in half

4 0

3 years ago

20% of the patron's order the chef's special. The probability that 2 out of the next ten customers will order the chef's special

kotegsom [21]

Answer:

$P(x =2) = 0.3020$

Step-by-step explanation:

Given

$p =20\% = 0.20$

$n = 10$

Required

$P(x = 2)$

This question is an illustration of binomial distribution where:

$P(X = x) = ^nC_x * p^x * (1 - p)^{n-x$

So, we have:

$P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}$

$P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8$

This gives

$P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8$

$P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8$

Expand

$P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8$

$P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8$

$P(x =2) = 45 * 0.20^2 * 0.80^8$

$P(x =2) = 0.3020$

5 0

3 years ago

if you have a population of 40million people and 2million of them are from out of town. what percentage of them are out of towne

suter [353]

Answer:

5%

Step-by-step explanation:

There are 2000000 people out of town and 4000000 people in total.

Solution for 2000000 is what percent of 40000000:

2000000:40000000*100 =

(2000000*100):40000000 =

200000000:40000000 = 5

Now we have: 2000000 is what percent of 40000000 = 5

Question: 2000000 is what percent of 40000000?

Percentage solution with steps:

Step 1: We make the assumption that 40000000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100%= 40000000.

Step 4: In the same vein, x%=2000000.

Step 5: This gives us a pair of simple equations:

100%=40000000(1).

x%=2000000(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100%/x%=40000000/2000000

Step 7: Taking the inverse (or reciprocal) of both sides.

⇒ x=5%

Therefore, 2000000 is 5% of 40000000.

I hope that answers your question and plz mark me brainliest!

4 0

3 years ago

Y<br> y=- 4x. Urhxjdbdjdbdud

mario62 [17]

What are we suppose to evaluate

4 0

3 years ago

What is the sum of the first 13 terms of the given geometric sequence:<br> 1,2,4,8,16,

solniwko [45]

Answer:

Answer in the photo

Step-by-step explanation:

4 0

3 years ago