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Answer:

[-5, 5] the Y value has a minimum of -5 and max of 5 so that is what your range is!

Step-by-step explanation:

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ range \ of \ y \ is \ y \ \in \ [-5,5] .}}}[/tex]

A function is given to us and we need to find its range. So the given function is ,

[tex]\bf\implies y = -5\:sin(x) [/tex]

The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation.

[tex]\bf \implies y = (-5) [/tex]

The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation.

[tex]\bf \implies y = (5) [/tex]

Hence the range is ,

[tex]\boxed{\red{\bf -5 \leq y \leq 5 }}[/tex]

Interval Notation :-

[tex]\boxed{\red{\bf y \in [-5,5] }}[/tex]

Set builder Notation :-

[tex]\boxed{\red{\bf \{ y | -5 \leq y \leq 5 }}[/tex]

Graph of the function is attached .

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:

The answer is 1,122

Step-by-step explanation:

33 x 34

Answer:

21

Step-by-step explanation:

Ratios are used.

10/30 = 12/36 = 7/x

1/3 = 7/x

x = 3*7 = 21

[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 ).

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Answer:

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

First you just have to plug the numbers in so you get 3*-4/-2+(-12) which simplifies to -12/-14 which can be simplified to 6/7

The value of expression bd/a+c will be 6/7.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expression is ,

bd / a+c

And, The values are a=−2 , b=3 , c=−12 , and d=−4.

Now, Find the value of the expression we can substitute all the given values in the expression;

⇒ bd / a+c

⇒ 3 × (-4) / -2+(-12)

⇒ -12/-2-12

⇒ -12/-14

⇒ 12/14

⇒ 6/7

Thus, The value of expression bd/a+c will be 6/7.

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Answer: 14 lbs

Step-by-step explanation:

shoot i hope this right

Here you go!

Hope this helps! :D

Answer:

A 7/25

Step-by-step explanation:

1. Take inverse of theta

2. Substitute the inverse theta in the equation given in question

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

Answer:

2.99

Step-by-step explanation:

Answer:

1/4

aus74ebsi2neissnejws

Answer:

1/4 or . 25

Step-by-step explanation:

pls mark brainliest to help my rank :)

Answer:

A

Step-by-step explanation:

This is because the shaded regions are not required

Answer:

A

Step-by-step explanation:

its not shaded

Answer:

6x

Step-by-step explanation:

add the terms to make one term

Answer: 3x+y=5

Step-by-step explanation:

Equation of a line that has slope(m) and passes through point (a,b) is given by :-

[tex](y-b)=m(x-a)[/tex]

Given: Point = (3,-4)

Slope =-3

Then, the equation of the required line:

[tex](y-(-4))=-3(x-3)\\\\\Rightarrow\ (y+4)=-3(x-3)\\\\\Rightarrow\ y+4=-3x+9\\\\\Rightarrow\ 3x+y=9-4\\\\\Rightarrow\ 3x+y=5\ \ \ \ [\text{Standard form: Ax+By=C}][/tex]

Hence, required equation: 3x+y=5

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.

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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:

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:

B) -6 is the answer :) :) *-*

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:

False

Step-by-step explanation:

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

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

Answer:

84.1%

Step-by-step explanation:

Add up 0.1, 2.2, 13.6, 34.1, and 34.1 and you get that number. this is because that is the numbers in each column and you add those because they are below 79 mark.

Answer:

( -2, 3 )

Step-by-step explanation:

3x + y = -3

y = x + 5

Since "y" has been given to us, all we need to do is substitute.

3x + x + 5 = -3

Combine like terms

4x + 5 = -3

Subtract 5 onto both sides

4x + 5 - 5 = -3 - 5

4x = -8

Divide by 4 into both sides to isolate the variable

4x/4 = -8/4

x = -2

Now that we have x ( -2 ), we can substitute that to get what y is.

y = x + 5

y = -2 + 5

y = 3

( x, y ) ---> ( -2, 3 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations are inconsistent. The set of equations reduces to ...

  x + 2y + 3z = 12

  x + 2y + 3z = 30

  x + 2y + 3z = 60

No values of x, y, and z can satisfy all three equations. There is no solution.

Answer:

24

Step-by-step explanation:

4! = 4*3*2*1 = 24

24 numbers can be formed

Answer:

$27.14

Step-by-step explanation:

Price of 1 DVD: $9.10

Price of 4 DVDs: 4 * $9.10 = $36.40

Discount: 25%

Now we find 25% of $36.40.

25% of $36.40 =

= 0.25 * $36.40

= $9.10

The 25% discount amounts to $9.10. We now subtract $9.10 from $36.40 to find the discounted price.

$36.40 - $9.10 = $27.30

Now we need to apply the 6.75% tax to $27.30.

6.75% of $27.30 =

= 0.0675 * $27.30

= $1.84

The sales tax is $1.84.

Now we add the sales tax amount to the total discounted price.

$27.30 + $1.84 = $29.14

Answer: $27.14