The probability line shows the probability of 5 chance events (A, B, C, D, and E) occurring. Which THREE statements BEST describe the likelihood of the event occurring?
A) Event A is certain to occur.
B) Event E is certain to occur.
C) Event D is certain to occur.
D) Event B is not likely to occur.
E) Event C has an even chance of either occurring or not occurring.

Answer:

a. 0.52 = 52% probability that Linda gives the correct answer to a question.

b. 0.7692 = 76.92% probability that Linda knows the answer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Supplies the correct answer:

Event B: Knows the answer

A. What is the probability that Linda gives the correct answer to a question?

0.4(knows the answer)

1/5 = 0.2 of 1 - 0.4 = 0.6(guesses the answer). So

[tex]P(A) = 0.4 + 0.2*0.6 = 0.52[/tex]

0.52 = 52% probability that Linda gives the correct answer to a question.

B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?

Intersection of events A and B is knowing the answer and giving the correct answer, which means that [tex]P(A \cap B) = 0.4[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.52} = 0.7692[/tex]

0.7692 = 76.92% probability that Linda knows the answer

Answer:

10

Step-by-step explanation:

Round both numbers to the nearest tens place.

98.7 rounds up to 100

10.1 rounds down to 10

100/10=10

Answer:

Ummm what am i helping you with? You did not say anything, so i can't help you

Step-by-step explanation:

Answer:

0.35 pounds in each cheesecake

Step-by-step explanation:

Number of individual blueberry cheesecakes = 15

Pounds of blueberries = 5 1/4 pounds

How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds of blueberries are divided equally among them?

= 5 1/4 ÷ 15

= 21/4 ÷ 15

= 21/4 × 1/15

= (21*1)/(4*15)

= 21/60 pounds

Equivalent to 0.35 pounds in each cheesecake

Answer:

none of the above

The statement to represent the expression is fraction 1 over 2 the difference between 734 and 246. Therefore, option B is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 1/2 ×(734-246)

= 1/2 ×488

= 244

Therefore, option B is the correct answer.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ3

Answer: 48

Step-by-step explanation:

big square is 64, shaded square is 16

64-16= the unshaded region

Answer:

40

Step-by-step explanation:

So they asked 50 people total but they want to know how many agreed they should use it so 16 said yes and 24 said yes add those two numbers and get your answer

Answer:

40

Step-by-step explanation:

Just add 24 and 16 together.

Answer:

D

Step-by-step explanation:

A is wrong because 8 x 5 = 40

40 < 67

B is wrong because 8 x 6 = 30

48 < 67

C is wrong because 8 x 8 = 64

64 < 67

D is correct because 72 > 67

Hope this helps!! ♥︎

He travelled 52.6 feet which is the hypotenuse. Then use sin ratio to solve for h.

Answer:

Step-by-step explanation:

The two adjacent angles must have a sum of 180

CED=180-122

CED=58 degrees

Answer:

(3, -5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

4y + x = -17

-2y + 2x = 16

Step 2: Rewrite Systems

-2y + 2x = 16

Step 3: Redefine Systems

4y + x = -17

-4y + 4x = 32

Step 4: Solve for x

Elimination

Step 5: Solve for y

Answer:

Step-by-step explanation:

Let's solve your system by elimination.

4y+x=−17;−2y+2x=16

Multiply the first equation by -2,and multiply the second equation by 1.

−2(4y+x=−17)

1(−2y+2x=16)

Becomes:

−2x−8y=34

2x−2y=16

Add these equations to eliminate x:

−10y=50

Then solve −10y= 50 for y:

−10y=50

−10y /−10  =  50/  −10 (Divide both sides by -10)

y = −5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

4y + x = −17

Substitute −5 for y in 4y+x=−17:

(4)(−5)+x=−17

x−20=−17(Simplify both sides of the equation)

x−20+20=−17+20(Add 20 to both sides)

x=3

Answer:

x=3 and y=−5

HOPE IT WILL HELP :)

Answer:

Answer:

3.7

Step-by-step explanation:

c/0.2=2.6+15.9

c=(2.6+15.9)0.2

Answer:

Jenny's is 8 now and Sammie is 17.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

Jenny's age is x.

Sammie's age is y.

Jenny is 9 years younger than Sammie.

This means that:

[tex]x = y - 9[/tex]

Five years ago, Sammie was four times older than Jenny.

This means that:

[tex]y - 5 = 4(x - 5)[/tex]

Since [tex]x = y - 9[/tex]

[tex]y - 5 = 4(y - 9 - 5)[/tex]

[tex]y - 5 = 4(y - 14)[/tex]

[tex]y - 5 = 4y - 56[/tex]

[tex]3y = 51[/tex]

[tex]y = \frac{51}{3}[/tex]

[tex]y = 17[/tex]

[tex]x = y - 9 = 17 - 9 = 8[/tex]

Jenny's is 8 now and Sammie is 17.

Answer:

A

Step-by-step explanation:

Answer:

just sub

Step-by-step explanss

Answer:

a= 1024

Step-by-step explanation:

Answer:

She would need one more pint.

Step-by-step explanation:

Answer:

a) Ub = 0,069

b)  CI 99 %  = ( 0,0287 ; 0,069 )

c) n = 2536

Step-by-step explanation:

Confidence Interval (CI) for proportion is

p₀  ±  z(c) * √ ( p₀*q₀ ) /n

Where     p₀  is the sample proportion

n = size of the sample

and z(c)   is z score for the significance level α

As    CI  = 99 %       α = 1%      α = 0,01      α/2 = 0,005

from z-table we find   z(c) = 2,57

p₀ = 12/300      p₀ = 0,04  ;    

n*p₀ = 12  > 10 and  n*q₀  = 300*0,96        n*q₀ = 288 > 10

We can use normal distribution as a valid  aproximation of binomial distibution

Then     z(c) = 2,57

a) upper bound for CI     Ub

Ub = p₀ + z(c) * √ p₀q₀/300

Ub = 0,04  +  2,57 * √ (0,04*0,96)/300

Ub = 0,04 + 0,0113

Ub = 0,069

b) CI at 99%  is

CI  = p₀  ±  z(c) * √ ( p₀*q₀ ) /n

we have already calculated the Ub = 0,069

the Lower bound would be   Lb = 0,04 - 0,0113

Lb = 0,0287

Then     CI 99 %  = ( 0,0287 ; 0,069 )

c) If      CI ≤ 0,02 we can find the minimun n value with the equation:

p₀  ±  z(c) * √ ( p₀*q₀ ) /n = CI   or    p₀  -  z(c) * √ ( p₀*q₀ ) /n = 0,01

For symmetry respect to p₀

z(c) *√ (p₀*q₀) / n  = 0,01

Solving for n

z(c) * √ ( p₀*q₀ ) /n = 0,01

2,57 * √ (0,04*0,96)/n  =  0,01

2,57 * √ 0,0384/n = 0,01

2,57 = 0,01/√ 0,0384/n

Squaring both sides of the equation

6,6049 = (0,01)² *n / 0,0384

0,0384*6,6049 / 0,0001  = n

n = 2536

Answer:

Step-by-step explanation:

2x + a = bx - 5

3). a ≠ - 5 and b ≠ 2

4). a ≠ - 5 and b = 2

(5) a = - 5 and b = 2

Answer:

∠C & ∠P

Step-by-step explanation:

A=2(1+[tex]\sqrt{2}[/tex])a^2=2·(1+[tex]\sqrt{2}[/tex])·20^2≈1931.37085cm²