The perpetrator is either one or the other of the two persons X and Y. Both persons are on the run from the authorities, and after an initial investigation, both fugitives appear equally likely to be the perpetrator. Further investigation reveals that the actual perpetrator has blood type A. 10% of the population has blood type A; you may assume that the innocent one of persons X and Y has a 10% chance of having blood type A. In the investigation, you find two samples of blood; the first sample belongs to person X, and the second sample belongs to person Y. In the process of testing the blood, the sample belonging to person Y was accidentally destroyed (you may assume that the destruction was random). The sample belonging to person X was determined to be blood type A. In light of this new information, find the probability that person X is the perpetrator

Answer:

hopefully this helpeddd

Step-by-step explanation:

Answer:

Step-by-step explanation:

If for a cup of water, 1/3 cup of salt is needed, to get the number of gallons of water needed for 6 cups of salt, we will use the following equation;

1/3 cup of salts = 1 cup of water

6 cups of salt = x cups of water

cross multiply

1/3 * x= 6*1

x/3 = 6

multiply both sides by 3

x/3 * 3 = 6*3

x = 18

Hence 6 cups of salt will need 18 gallons of water

Answer:

False

Step-by-step explanation:

A rhombus is a quadrilateral with

1. all side length equal

2. opposite side parallel

3. opposite angles are congruent.

______________________________________

If there are two rhombus with same side length ,

conditions so that they must be always congruent.

1. Side length must be equal

2. corresponding angles to equal sides must also be equal.

It is possible that the sides of two rhombus will be same

but their angles can differ and hence the two rhombus may or may not be congruent.

Thus,

Two rhombuses with the same side lengths are always congruent

given statement is false

Answer:

a) The probability of both chips being good = 0.48

b) The probability of both chips being bad = 0.24

c) The probability of one chip being good = 0.60

Step-by-step explanation:

Probability of first chip being good = 3/5 = 0.60

Probability of second chip being good = 4/5 = 0.80

Probability of first chip being bad = 0.40 or 2/5 (1 - 3/5)

Probability of second chip being good if the first is bad = 2/5 = 0.4

Therefore, the probability of it being bad = 0.60 (1 - 0.40)

For both chips to be good, the probability = 0.60 * 0.80 = 0.48

For both chips to be bad, the probability = 0.60 * 0.40 = 0.24

Answer:

-8d - 3 + 6 +d

you can't subtract 2d and 3 so you bring what's outside the parenthesis to inside the  parenthesis

Answer:

i think its 2.97 x 106

Step-by-step explanation:

hope its right/helps

Answer:

c im pretty sure but not 100%

Step-by-step explanation:

edge

Answer:

m=1

Step-by-step explanation:

The plots (-4,3) and (2,1) have a slope of -1. Perpendicular lines would mirror that, making it a positive 1

Answer:

The answer to this question can be defined as follows:

i) [tex]\bold{p(x)= -5x^2+ 217x- 1,401} \\[/tex]

ii) x=22 units

iii) Maximum profit: 953.45

Step-by-step explanation:

Given value:

p(x) = 211 − 5x \\

C(x) = 1,401 + 16x

The formula for calculating the profit function value:

[tex]\to \bold{P(x)= xp(x) - C(x)}[/tex]

             [tex]= x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\[/tex]

The formula for calculating the value for maximum profit:

[tex]p'(x) = - 10x + 217 =0[/tex]

[tex]217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7[/tex]

So, the production level is 22 units

Maximum profit:

[tex]\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\[/tex]

           [tex]=-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45[/tex]

The maximum monthly revenue of WidgCo is; $489

price function; p(x) = 211 - 5x

Cost function; C(x) = 1401 + 16x

Revenue = number of units sold × price per unit

Thus;

R(x) = x(211 - 5x)

Expanding this gives;

R(x) = 211x - 5x²

R'(x) = 211 - 10x

At R'(x) = 0, we have;

211 - 10x = 0

x = 211/10

x = 21.1

x ≈ 21 widgets

Maximum Revenue is;

R(20) = 195(21) - 1401 - 5(21)²

R(20) = $489

Read more about revenue function at; https://brainly.com/question/6394733

Answer:

110

Step-by-step explanation:

Answer:

sss i think

Step-by-step explanation:

uh im not 100% sure

Answer:

(h o k)(3)=  3

(K o h)(-4b)= - 4b

Step-by-step explanation:

Composition of a function and its inverse function returns the input

(h o k)(3)=  3

(K o h)(-4b)= - 4b

Answer:

[tex](h\circ k)(3)=3[/tex]

[tex](k\circ h)(-4b)=-4b[/tex]

Step-by-step explanation:

Remember that for two functions to be inverses, the following must be true:

[tex]h(k(x))=k(h(x))=x[/tex]

Since we know they are indeed inverses, they are true.

So, whatever input we put in, we'll just get it back out again.

So, for our first problem:

[tex](h\circ k)(3)[/tex]

We can rewrite this as:

[tex]=h(k(3))[/tex]

We can imagine our x being 3 here.

Therefore, using the above identity, we can conclude that:

[tex]h(k(3))=3[/tex]

For our second example, the same thing:

[tex](k\circ h)(-4b)[/tex]

This is the same as saying:

[tex]k(h(-4b))[/tex]

Again, using the above property, we can imagine our x is -4b. So, this will be equivalent to:

[tex]k(h(-4b))=-4b[/tex]

And we're done!

Answer:

I’m thinking it’s C, 119 degrees

Step-by-step explanation:

180 - 61 =119

Answer:

10/25%

Step-by-step explanation:

Answer: 15.075%

Please mark me as Brainliest

Answer:

100,000

Step-by-step explanation:

Answer:

eight

Step-by-step explanation:

The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.

The scale factor between two figures (any dimensions) is the scale to which the original figure (preimage) is multiplied to make the transformed figure (image).

In ΔABC and ΔDEF,

AB/DE = BC/EF = CA/FD (Corresponding sides of triangle are in ratio)

∴ ΔABC ~ ΔDEF (SSS axiom)

The scale factor = A side of ΔDEF/Corresponding side of ΔABC = DE/AB = 48/6 = 8.

∴ The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.

Learn more about the scale factor at

https://brainly.com/question/10253650

#SPJ2

Answer:

4.75

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

1 gallon=16 cups

48÷16=3

3 gallons makes 48 cups

Answer:

3 miles per hour

Step-by-step explanation:

there are (2) 1/2 hours in an hour (I hope that made sense) so multiply 1 1/2 by 2 to get 3

Hope this helps :-)

Answer: is B 2.65

Step-by-step explanation:

===========================================================

Explanation:

Cube values in the set {0,1,2,3,...} until we reach a result larger than 497

We stop here because 512 is larger than 497.

Or you could note that [tex]\sqrt[3]{497} = 497^{1/3} \approx 7.921[/tex] helping us see that we stop at 8.

The list of nonnegative perfect cubes less than 497 is {0,1,8,27,64,125,216,343}

There are 8 items in that set out of 498 items in the set {0,1,2,3,...,497}

So the probability of getting a perfect cube is 8/498 = 4/249

Answer:

Slope: -3

Vertical Intercept (y-intercept): 15

Horizontal Intercept (x-intercept): 5

Step-by-step explanation:

[tex]\frac{3-9}{4-2}[/tex] = [tex]\frac{-6}{2}[/tex] = -3

then we put the slope into point slope form.

y-9=-3(x-2)

in order to find the x-intercept, we need to make the y value 0.

-9=-3(x-2) ⇒-9=-3x+6 then subtract 6 from both sides.

-15=-3x divide both sides by -3 to get 5, the x-intercept.

in order to find the y-intercept, we need to make the x value 0.

y-9=-3(-2) ⇒y-9=6 then add 9 to both sides.

y=15

Answer:

not a function

Step-by-step explanation:

This would not pass the vertical line test, so it is not a function

Answer:

This not a function

Step-by-step explanation:

Answer:

x= 8

Step-by-step explanation:

Divide -2 on both sides to solve for x

x=8

Answer:

x=8

Step-by-step explanation:

Divide each term by -2 and simplify.

Hope this helps. Plz give brainliest.