- 3/8 + 3/4 + -1/4 = ?
Evaluate the expression as a fraction.

Answer:

2.99

Step-by-step explanation:

Multiply both sides by 2pi:

F(2pi) = sqrt(g/l)

Square both sides:

F^2 (2pi)^2 = g/l

Solve for l by dividing both sides by F^2 (2pi)^2

L = g/ F^2 (2pi)^2

Simplify:

L = g / 4pi^2(f^2)

Answer:

[tex]x = 9\\LN=MP=79\\[/tex]

Step-by-step explanation:

In a rectangle, the diagonals are equal:

[tex]LN = MP\\4x+43=9x-2 => 5x = 45 => x = 9\\LN = 79\\MP=79\\[/tex]

[tex] \Large \text {Answer:} [/tex]

[tex] \large \boxed {\dfrac{23}{40}} [/tex]

[tex] \Large \text {Step-by-step explanation:} [/tex]

[tex] \text{P}_{B}(r) = \text{P}_{A}(r) \cdot \text{P}_{B}(r) + \text{P}_{A}(w) \cdot \text{P}_{B}(r) [/tex]

[tex] \text{P}_{B}(r) = \left (\dfrac{3}{5} \right ) \negthickspace \left(\dfrac{5}{8}\right ) + \left (\dfrac{2}{5} \right ) \negthickspace \left (\dfrac{4}{8} \right ) [/tex]

[tex] \text{P}_{B}(r) = \dfrac{23}{40} [/tex]

The probability of drawing a red chip from bowl B will be ( 23 / 40 ).

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B.

The probability will be calculated as:-

[tex]\rm P_B(r)=P_A(r)P_B(r)+P_A(w)P_B(r)\\\\P_B(r) = (\dfrac{3}{5})(\dfrac{5}{8})+(\dfrac{2}{5}(\dfrac{4}{8})\\\\P_B(r)=\dfrac{23}{40}[/tex]

Therefore, the probability of drawing a red chip from bowl B will be ( 23 / 40 ).

To know more about probability follow

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Answer:

[tex]r=1.57[/tex], [tex]P(t)=71e^{3t\ln2}[/tex], [tex]P(8)=1191182336[/tex],[tex]P'(8)=2476994033[/tex]  [tex]t=2.713\; hr[/tex]

Step-by-step explanation:

[tex](a)[/tex] Find the relative growth rate.

[tex]P=Ae^{rt}[/tex] where given [tex]A=71, P(t)=120\;\;and \;\; t=\frac{1}{3}[/tex]

Find the value of [tex]r[/tex]

[tex]\Rightarrow 120=71 e^{\frac{r}{3} }[/tex]

[tex]\Rightarrow \frac{120}{71} =e^{\frac{r}{3} }[/tex]

[tex]\Rightarrow 1.69=e^{\frac{r}{3} }[/tex]

[tex]\Rightarrow \ln1.69=\frac{r}{3}[/tex]

[tex]\Rightarrow 3\ln1.69=r \;\;\; or \;\;\; r=1.57[/tex]

[tex](b)[/tex]   Find an expression for the number of cells after t hours.

[tex]P(t)=71e^{3t\ln2}[/tex]

[tex](c)[/tex]  Find the number of cells after 8 hours.

[tex]P(8)=71e^{3\times 8\times \ln2}[/tex]

[tex]\Rightarrow P(8)=1191182336[/tex]

[tex](d)[/tex]  Find the rate of growth after 8 hours.

  [tex]P(t)=71e^{3\times t\times \ln2}[/tex]

Now differentiate w.r.t. [tex]t[/tex]

[tex]\Rightarrow P'(t)=71\times 3\ln2\times e^{3t\ln2}[/tex]

[tex]\Rightarrow P'(8)=3573547008\ln2[/tex]

             [tex]=2476994033[/tex]

[tex](e)[/tex]  When will the population reach 20,000 cells?

     [tex]20,000=71e^{3t\ln2}[/tex]

[tex]\Rightarrow \ln\frac{20000}{71} =3t\ln2[/tex]

[tex]\Rightarrow \frac{ \ln\frac{20000}{71}}{3\ln2} =t[/tex]

S0, [tex]t=2.713 hr[/tex]

Answer:

A.)

0.852 ; 0.999 ; 0.013

B.)

0.018 ; 0.593 ; 0.050

Step-by-step explanation:

Given :

Proportion of marketing personnel that are extrovert, p = 0.75

1 - p = 1 - 0.75 = 0.25

Proportion of computer programmers that are introverts, p = 0.55

1 - p = 1 - 0.55 = 0.45

According to binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - r)

A.) n = 15

Probability that 10 or more are extrovert

P(x ≥ 10) = p(x = 10) + p(x = 11) +... p(x = 15)

To save computation time, we can use a binomial probability calculator ;

P(x ≥ 10) = 0.8516 = 0.852

Probability that 5 or more are extrovert :

P(x ≥ 5) = p(x = 5) + p(x = 6) +... p(x = 15)

To save computation time, we can use a binomial probability calculator ;

P(x ≥ 5) = 0.9999 = 0.999

Probability that all are extrovert :

P(x = 15) = 15C15 * 0.75^15 * 0.25^0

P(x = 15) = 1 * 0.75^15 * 0.25^0

P(x = 15) = 0.01336 = 0.013

B.

What is the probability that all are introverts?

n = 5

None are introvert :

P(x = 0) = 5C0 * 0.55^0 * 0.45^5

P(x = 0) = 1 * 1 * 0.0184528125

P(x = 0) = 0.01845 = 0.018

P(x ≥ 3) = p(3) + p(4) + p(5)

To save computation time, we can use a binomial probability calculator ;

P(x ≥ 3) = 0.5931 = 0.593

Probability that all are introvert

P(x = 5) = 5C5 * 0.55^5 * 0.45^0

P(x = 5) = 1 * 0.55^5 * 0.45^0

P(x = 5) = 0.0503 = 0.050

x3 - 1/2x + 2 = 0

if you mean x³, and not x3, then heres the answer to the problem: (if it is something else please let me know)

x³ - 1/2x + 2 = 0

              -2     -2

x³ - 1/2x = -2

^no side is 0 :D

Step-by-step explanation:

done....................I hope its right

Answer:

1. 3x + 36

2. 14 + 12x

3. 40x-18

Step-by-step explanation:

1. 3(x+12)

3x + 36

2. 2(7+6x)

14 + 12x

3. 9(5x-2)

40x-18

Ace Carlos

Answer:

The answer is 1,122

Step-by-step explanation:

33 x 34

Answer:

y= 3x-1

Step-by-step explanation:

Answer:

9x^2 25x+14

Step-by-step explanation:

using FOIL:

(x+2)(9x+7)

9x^2 +7x + 18x +14

9x^2 25x+14

Answer:

1/4

aus74ebsi2neissnejws

Answer:

1/4 or . 25

Step-by-step explanation:

pls mark brainliest to help my rank :)

A number raised to an exponent is the number multiplied by itself the number of times the exponent is.

The exponent is 3, so this means 0.25 is multiplied by itself 3 times.

0.25^3 = 0.25 x 0.25 x 0.25

Answer:0.100

Step-by-step explanation:

If you sed the rule of counting decimal places in the equation to find the number of decimal places in the answer you must not discard zeros too early. For example to multiply 0.25 by 0.4 you need 2+1 decimal places and the multiplication without a decimal point gives 0100. The answer is therefore 0.100.

Here you go!

Hope this helps! :D

Answer:

11 dimes and 9 quarters

Step-by-step explanation:

lets make x quarters and y dimes

Here is the equation we have so far:

x+y=20

BUT it can also be used to determine the values:

0.25x+0.10y=3.35

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

0.25x+0.10y=3.35

x+y=20

Im going to solve for quarters first.

Multiply everything by 0.25 on the bottom equation: 0.25x+0.25y=5

Now you have two equations:

0.25x+0.10y=3.35

and 0.25x+0.25y=5

subtract out the 0.25x

.15y=1.65

y=11

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

you have 11 dimes.

x+11=20

x=9

You have 9 quarters

Answer:

that would be a seventy (70)

Answer:

70%

Step-by-step explanation:

Answer:

the answer is 7.83 it's not rounded though

Answer:

The answer is C.

Step-by-step explanation:

There are more minutes than the amount of water, so this is the only reasonable answer.

Answer:

k47n4

Step-by-step explanation:

Answer: would it be the 12th year and a half

Step-by-step explanation: because since it increases then half of the year it would be $30,400

Answer: I think it c or d but more c

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

the answer is the second option

4/3

Answer:

False

Step-by-step explanation:

The male's want sports cars more and the female's want SUV's more.

Answer:

No

Step-by-step explanation:

SD=8+2+5+4+11+9÷6

13=10+9+20÷6

13=19+20÷6

13=39÷6

13=6.5-False=No

13 is not a usual number. A further solution of the given query is provided below.

Given:

Number of observations = 6

Series 8, 2, 5, 4, 11, 9

The Mean will be:

= [tex]\frac{Sum \ of \ observation}{Total \ number \ of \ observations}[/tex]

By substituting the values, we get

= [tex]\frac{8+2+5+4+11+9}{6}[/tex]

= [tex]\frac{32}{6}[/tex]

= [tex]6.5[/tex]

Now,

The Standard deviation will be:

= [tex]\sqrt{\frac{|x-\bar x|^2}{n} }[/tex]

= [tex]\sqrt{\frac{(1.5)^2+(4.5)^2+(1.5)^2+(2.5)^2+(4.5)^2+(2.5)^2}{6} }[/tex]

= [tex]3.0956[/tex]

13 is not within the range of standard deviation. Thus it is not a usual number.

Learn more about standard deviation here:

https://brainly.com/question/12402189

Answer:

I think it is commutative

Step-by-step explanation:

because commute means move so I think that's what it is

Answer:

commutative property of multiplication i did the test

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Ratios are used.

10/30 = 12/36 = 7/x

1/3 = 7/x

x = 3*7 = 21

Answer:

$170

Step-by-step explanation:

$20 / 2 people = $10 / person

17 people ($10 / person) = $170

Why should anyone help you when you just post absurd answers for other people?