HELP ME PLS WALLAH THIS IS HARD

Answer:

11/36

Step-by-step explanation:

We have 36 possible outcomes when rolling a pair of dice.

Only 1 outcome gets both 3's. (3 3)

For the sum to be greater than 8, there are 10 outcomes.

(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)

The probability is therefore (1+10)/36=11/36.

Let the two number is a and b

so,

product =ab=20

sum of square=[tex]\bold{a^2+b^2=41 }[/tex]

Then,

[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]

[tex]\bold{ (a+b)^2=41+2×40 }[/tex]

[tex]\bold{ (a+b)^2=81 }[/tex]

[tex]\bold{a+b=\sqrt{81} }[/tex]

[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)

Now,

[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]

[tex]\bold{ (a-b)^2=41-4×20 }[/tex]

[tex]\bold{(a-b)^2=41-40 }[/tex]

[tex]\bold{a-b=\sqrt{1} }[/tex]

[tex]\bold{a-b=1 }[/tex]••••••••(equation II)

Now,combine the equation I and equation II

we,get

[tex]\bold{a+b+a-b=9+1 }[/tex]

[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]

[tex]\bold{ 2a=10 }[/tex]

[tex]\bold{a=\dfrac{10}{2} }[/tex]

[tex]\blue{\boxed{ a=5 }}[/tex]

Then,

put the value of a in equation II.

we get that,

[tex]\bold{5-b=1 }[/tex]

[tex]\bold{b+1=5 }[/tex]

[tex]\bold{b=5-1 }[/tex]

[tex]\bold{\boxed{\blue{b=4}} }[/tex]

so,

The two number is 5 and 4.

Answer:

0.1402

Step-by-step explanation:

For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.

This means that [tex]p = 0.44[/tex]

Suppose researchers choose 7 baby elk at random to monitor.

This means that [tex]n = 7[/tex]

What is the probability that more than 4 elk in the sample to survive to adulthood?

This is:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]

[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]

[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]

0.1402 probability that more than 4 elk in the sample to survive to adulthood.

Using the concept of binomial probability, the probability that more than 4 survive is 0.1402

Using the binomial probability formula :

The probability that more than 4 survive can be defined thus :

Using a binomial probability calculator :

[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]

[tex] P(x > 4) = 0.1402 [/tex]

Hence, the probability that more than 4 survive is 0.1402

Learn more : https://brainly.com/question/15929089

Answer:

P(A and B) = 0.12

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:

[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]

Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.

We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:

[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]

[tex]P(B\cap A)=0.2*0.6=0.12[/tex]

P(A and B) = 0.12

Answer:

Its all of them or just 6

Step-by-step explanation:

Answer:

35+14=7(5+2) , so you have the alternative way of computing the sum.

49=7(7)

Answer:

35+14=7(5+2)

Step-by-step explanation:

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Answer:

When the negatively charged balloon approaches a wall, the negative charges in the wall are repelled (or pushed away)

Step-by-step explanation:

As the two come in contact, the balloon will stick because of the rule that opposites attract (positive to negative)

Answer:

x=6

Step-by-step explanation:

Answer:

Graph ii and iii

Step-by-step explanation:

In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.

Answer:

4/1

Step-by-step explanation:

g is 4

[tex]a = {5}^{x} \\ b = {5}^{y} \\ {a}^{y} \times {b}^{y} = 25 \\ prove \: ( {5}^{x} )^{y} \times ( {5}^{y} ) ^{x} = 25 \\ {5}^{xy} \times {5}^{yx} = {5}^{2} \\ {5 }^{xy + yx} = 5^{2} \\ 5^{2xy} = {5}^{2} \\ is \: \: 2xy = 2 \\ xy = \frac{2}{2} \\ xy = 1[/tex]

The prove that  xy is equal to 1 is given below.​

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]log_a(c) b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]

Log with base e = 2.71828... is written as

ln(x)\ln(x)

simply.

Log with base 10 is written as

[tex]\log(x)[/tex]

We are given that;

a = 5^x, b = 5^y and a^y×b^x = 25.

Now,

To prove that xy = 1, we can use the properties of exponents and logarithms. Here are the steps:

1. Given that a = 5^x and b = 5^y, we can substitute these expressions into the equation a^y×b^x = 25 and get:

(5^x)^y × (5^y)^x = 25

2. Using the property that (a^b)^c = a^(bc), we can simplify the left-hand side of the equation and get:

5^(xy + yx) = 25

3. Using the property that a^b = c is equivalent to log_a(c) = b, we can take the logarithm of both sides of the equation with base 5 and get:

log_5(5^(xy + yx)) = log_5(25)

4. Using the property that log_a(a^b) = b, we can simplify the left-hand side of the equation and get:

xy + yx = log_5(25)

5. Using the property that log_a(b) = log_c(b) / log_c(a), we can change the base of the logarithm on the right-hand side of the equation to any other base, such as 10, and get:

xy + yx = log_10(25) / log_10(5)

6. Using a calculator or a table of logarithms, we can evaluate the right-hand side of the equation and get:

xy + yx ≈ 2 / 0.69897

7. Simplifying the fraction on the right-hand side of the equation, we get:

xy + yx ≈ 2.8614

8. Since xy and yx are symmetric, we can divide both sides of the equation by 2 and get:

(xy + yx) / 2 ≈ 2.8614 / 2

9. Simplifying both sides of the equation, we get:

xy ≈ 1.4307

10. Since x and y are integers, we can conclude that xy must be an integer as well. The only integer that is close to 1.4307 is 1.

Therefore, by logarithm properties we can say that xy = 1.

Learn more about logarithm here:

https://brainly.com/question/20835449

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Answer:

p=5x+3y

solve for x, number of cupcakes. isolate x

5x=p-3y

divide by 5

x=(p-3y)/5

Step-by-step explanation:

D. x<15

Answer:

As an equation, (we'll use x as the variable), that word problem is 3x+7=31.

To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.

Answer:

I am pretty sure it is 400ml hope this helps

Answer:

2(x+15)

Step-by-step explanation:

Answer: It would take Kala 11 hours to drive 693 miles

Step-by-step explanation:

315/5=63 miles an hour

693/63=11 hours

It would take Kala 11 hours to drive 693 miles

Answer:

+

Step-by-step explanation:

b/c

18+2×4

18+8

26

hope it's helpful ❤❤❤

THANK YOU.

Answer:

C=12π

Step-by-step explanation:

C=2πr

Radius is half of Diameter.

C= 2π(6)

C=12π

Answer:

34

Step-by-step explanation:

Answer:

Area of rectangle =LXB

L=7m

B=3m

so 7m multiply by 3m gives 21 so the area is 21

Answer:

it is not clear .... please add the question and send the link of the question

Answer:

$712.79

Step-by-step explanation:

Answer:

8.1 for the 2th awnser

Step-by-step explanation:

1.4 + 5.9+2.2=8.1

Answer:

z (3.4 + 4.6 + 2.2)

:)

Answer:

I think it is ether-1 or o,5

Answer:

Did you got the answers for this whole I need them please

Answer:

X=9

Step-by-step explanation:

10x-30 = 7x-3

10x-7x = -3 + 30

3x = 27

x=9

Answer:

3) 21/60= 0.35

4) 5/4= 1.25

5) 9/15= 0.6 or 2/3

6) 378/15= 25.2 or 25 and 1/5

7) 1 1/2/ 2/3= 2.5

8) 28 1/3 / 3 1/3= 8.5

Step-by-step explanation:

hope this helps!

mark me brainliest please!

Answer:  30

Step-by-step explanation:

Answer:

Option B: 6x-4=50; x=9 is the correct answer.

Step-by-step explanation:

Given that:

x is the variable used for number.

6 times a number means 6x and difference means subtraction.

Thus according to given statement;

6x - 4 = 50

Adding 4 on both sides

6x - 4 + 4 = 50+4

6x = 54

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{54}{6}\\x=9[/tex]

Hence,

Option B: 6x-4=50; x=9 is the correct answer.

Answer:

88°

Step-by-step explanation:

Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.

Answer:

88

Step-by-step explanation: