PLEASE ANSWER VERY QUICKLY THANK YOU!!!!!!!

Answer:

the  probability that they both were sentenced to prison is 0.1740

Step-by-step explanation:

The computation of the probability is given below;

P(sentenced) is

= (367 + 68) ÷ 1043

= 0.4171.

Now

P(2 persons senteced to prison) is

= 0.4171 × 0.4171

= 0.1740

hence, the  probability that they both were sentenced to prison is 0.1740

The same is to be considered and relevant too

Answer:

5 is not in the domain

Step-by-step explanation:

the domain is x ≤ 2

Answer:

144 ft

Step-by-step explanation:

Answer:

[tex]k = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

[tex]y = kx[/tex]

When y = 1, x = 2;

So, we have:

[tex]1 = k * 2[/tex]

[tex]2 * k = 1[/tex]

Make k the subject

[tex]k = \frac{1}{2}[/tex]

Hence, the constant of proportionality is 1/2

Answer:

2160%

Step-by-step explanation:

hope this helps :)

Answer:

2160

Step-by-step explanation:

10 = 1800

2 = 1800 divided by 5 = 360

1800 + 360 = 2160

Answer:

yes

Step-by-step explanation:

Answer:

6.66 minutes to complete one lap.

Step-by-step explanation:

Answer:

We have the function:

[tex]P(t) = \frac{800 + 630*t}{20 + 0.09*t}[/tex]

a) The population of deer when t = 60 is equal to P(60)

We just need to replace t by 60 in the above equation:

[tex]P(60) = \frac{800 + 630*60}{20 + 0.09*60} = 1,519.7[/tex]

We can not have the 0.7 of a deer, so we could round this up to 1,520

So at t = 60, we would have around 1,520 deers.

b) The horizontal asymptote of P(t) = y is when the denominator of the function is equal to zero (this is when P(t) goes to infinity).

Then we need to find the value of t such that:

20 + 0.09*t = 0

20 = -0.09*t

20/-0.09 = t = -222.222...

The asymptote of P(t) is at t = -222.222...

Because in this case t is negative, the function will diverge to infinity and minus infinity.

c) We can ignore the asymptotes and only compute this for positive values of t.

To find the maximum, we first need to look at the zeros of the first derivative of P(t):

[tex]P'(t) = \frac{630}{20 + 0.09*t} - \frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09 = 0[/tex]

[tex]\frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09 = \frac{630}{20 + 0.09*t}[/tex]

[tex]\frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09*(20 + 0.09*t) = 630[/tex]

[tex]\frac{800 + 630*t}{20 + 0.09*t} *0.09 = 630[/tex]

[tex](800 + 630*t) *0.09 = 630*(20 + 0.09*t)[/tex]

[tex]0.09*800 + 0.09*630*t = 630*20 + 630*0.09*t[/tex]

[tex]0.09*800 - 630*20 = 630*0.09*t - 0.09*630*t[/tex]

That last equation has no real solution, this means that we do not have a maximum. Then we will have a vertical asymptote

Then we can just look at the graph of the function (is below)

And you can see that we have a horizontal asymptote at y = 7000, then this will be the maximum number of deers.

Answer:

Answer: 11

Step-by-step explanation:

1. 100-15=85

2. 85/8=10.625

3. 10.625 rounds up to 11

Answer:

Car A gets 19 miles per gallon while Car B gets ~17.8 miles per gallon. Car A gets better mileage.

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

15% + 5% = 20%

80%=0.8

200x0.8=160

Answer:

1.

Clean machine slope: 3/2

Sudz slope: 3/2

This means they rise and run at the same rate.

2.

y intercept of clean machine: 2

y intercept of sudz: 4

this tells us that the cost for sudz is higher per pound.

3.

Clean machine because 4 pounds at sudz costs 10 dollars, while 5.5 pounds at clean machine costs 10 dollars. You get more for less at clean machine.

4.

a. plot these points

Brand A: (0,100) (1,150)

Brand B: (0,200) (1,225)

b. Brand B cuz 25 is lower than 50

Answer:

They are equivalent

Step-by-step explanation:

We can do cross products for this one

17/3 = 68/12

17 times 12 = 68 times 3

204 = 204

Answer:

D

Step-by-step explanation:

Just took the test :)

Answer:

r is wrong, t is wrong,

Step-by-step explanation:

dum gio

Answer:

x=15

Step-by-step explanation:

(I had this question on a test my teacher told me my answer)

lol hope it helps you and/or others :))

Answer:

approximately 27 grams

Work Shown:

Half life formula

y = A*(0.5)^(x/H)

where,

A = starting amount = 30 grams

H = half life period = 90 years

x = number of years that pass by = 12

y = amount left over after x years

Let's plug the values for x, A and H into the formula to find y

y = A*(0.5)^(x/H)

y = 30*(0.5)^(12/90)

y = 27.3516746567466

y = 27 .... rounding to the nearest whole number

Answer:

8ft of ground is covered, 8ft of metal and about 2 feet wide, it can hold 10ft of water i think

Answer:

Step-by-step explanation:

8 feet

Answer:

90 for both of them

Answer:

90

Step-by-step explanation:

1+1+1+1+1+1+1+1+1=9 then add a 0

Answer:

y = 3x

Step-by-step explanation:

⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄

Answer:

y=3x

Step-by-step explanation:

if you plug the point, and the equation into Desmos, you can see it´s right!

look at image

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Scale factor of JKLM to EFGH is 5/2.

Value of x = 27.5

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given,

JKLM ~ EFGH

Scale factor = JK/EF = 20/8 = 5/2

So, KL/GF  = 5/2

x/11 = 5/2

x = 55/2

x = 27.5

There is scale factor of 5/2 from JKLM to EFGH.

27.5 is value of x.

Learn more about scale factor here:

https://brainly.com/question/29464385

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Answer:

12 cm

Step-by-step explanation:

20² = length² + 16²

length² = 400 - 256 = 144

length = 12

Check

20² - 16² = 12

Hopefully I'm right!!

6×8=48 and 12×4=48 so it is 48 though 48 is the same

Answer

Answer:

7

Step-by-step explanation:

xy + (z-x)

x = 3

y = 2

z = 4

3×2 + (4-3)

6+1

= 7

Answer: =1/2x+1/3

Step-by-step explanation:

The equivalent expression is 1/2x+ 1/3.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 more than half of it. In a mathematical expression, this statement is denoted by the expression x/2 + 6.

Given:

1/4x+1+3/4x-2/3-1/2x

Now, solving the above expression

1/4x+1+3/4x-2/3-1/2x

= 1/4x + 3/4x - 1/2x + 1 - 2/3

= 4/4x - 2/4x + 1/3

= 2/4x + 1/3

= 1/2x + 1/3

Hence, the equivalent expression is 1/2x+ 1/3.

Learn more about expression here:

https://brainly.com/question/14083225

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Answer:

2.24

Explanation:

2.5 - 2.4 / 1.2(0.13) = 2.24