Which line segment is drawn in the figure?
YZ
WY
XZ
WZ

(a) The expected number of questions answered correctly by both A and B is 28.

(b) The variance of the number of questions answered correctly by either A or B is 4.5.

Let's define the following variables:

X = Number of questions answered correctly by A

Y = Number of questions answered correctly by B

(a) Expected number of questions answered correctly by both A and B:

We can use the formula for the expected value of the product of two independent random variables:

E(X × Y) = E(X) × E(Y)

The probability of A answering a question correctly is 0.7, and the probability of B answering a question correctly is 0.4.

Since the questions are independent, we can calculate the expected values for X and Y:

E(X) = 10 (number of questions) × 0.7 (probability of A answering correctly) = 7

E(Y) = 10 (number of questions) × 0.4 (probability of B answering correctly) = 4

Now, the expected number of questions answered correctly by both A and B is:

E(X× Y) = E(X) × E(Y)

= 7×4

= 28

(b) Variance of the number of questions answered correctly by either A or B:

Variance is calculated differently for independent events. Since A and B's performances are independent, we can use the following formula:

Var(X + Y) = Var(X) + Var(Y)

The variance of a binomial distribution with n trials and probability p of success is given by np(1-p).

For A and B:

Var(X) = 10× 0.7 × (1 - 0.7)

= 2.1

Var(Y) = 10 × 0.4× (1 - 0.4)

= 2.4

Now, the variance of the number of questions answered correctly by either A or B is:

Var(X + Y) = Var(X) + Var(Y)

= 2.1 + 2.4

= 4.5

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The required change in the price is equal to 0.75 cents.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that, Isabel made the following graph to show the daily share

price for Company XYZ.

The price on Monday = 0.75

The price on Friday = 1.50

We need to find the change in price from Monday to Friday. It can be calculated as follows;

Change = 0.75 - 1.50

Change = 0.75 cents

therefore, the required change in the price is equal to 0.75 cents.

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Answer:

it is 240

Step-by-step explanation:

put in equation and solve

2/3t+10=170

t=240

Answer:

1.92449%

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)ⁿ

Step 1: Define variables

Principle amount P = 11000

Total amount A = 11000 + 1100 = 12100

Years n = 5

Step 2: Substitute and Evaluate for r

12100 = 11000(1 + r)⁵

11/10 = (1 + r)⁵

1.01924 = 1 + r

r = 0.019245

Step 3: Convert to percentage

0.019245 × 100 = 1.92449%

Answer: 258 [tex]yard^{2}[/tex]

Step-by-step explanation: To find the surface area you add the area of all the sides. And the unit for a surface area is unit (yards) squared.

Front: 5 • 9 = 45

Back: 5 • 9 = 45

Left: 6 • 5 = 30

Right: 6 • 5 = 30

Top: 9 • 6 = 54

Bottom: 9 • 6 = 54

45 + 45 + 30 + 30 + 54 + 54 = 258.

Answer:

h(x) = 4x^2 - 3

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Answer:

,,,,,,,,,,,,,, mmmmm mm m m m

Step-by-step explanation:

 m mm m m m mm m

Answer:

Step-by-step explanation:

Given that alternate exterior angles ∠1 and ∠2 are equal, line p is parallel to q.

Two exterior angles that lie on two different lines cut by a transversal and are placed on the opposite sides of the transversal are called alternate exterior angles.

∠1 = ∠2 (alternate exterior angles)

This implies, p||q.

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Answer:

1 times 22

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

11 x 2 = 22

So 11 is a factor of 22 since 11 multiplied by 2 is 22.

11 is not a multiple of 2 though.

multiples of 2: 2,4,6,8,10,12.....

Hope this helps :)

Answer: 3

Step-by-step explanation: If he takes one YOU have 2 but in TOTAL you still have 3

Answer:

12

Step-by-step explanation: divide 26.9 by six and you get 4.48 which is the price for one then you divide 53.8 by 4.48 and you get 12.0 which is just 12

Answer:

h=16

Step-by-step explanation:

        1

Simplify   —

           2

Equation at the end of step

1

:

         1

 72 -  ((— • h) • 9)  = 0

         2

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          72     72 • 2

    72 =  ——  =  ——————

          1        2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

72 • 2 - (9h)     144 - 9h

—————————————  =  ————————

      2              2    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  144 - 9h  =   -9 • (h - 16)

Equation at the end of step

3

:

 -9 • (h - 16)

 —————————————  = 0

       2      

STEP

4

:

When a fraction equals zero

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -9•(h-16)

 ————————— • 2 = 0 • 2

     2    

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -9  •  (h-16)  = 0

Equations which are never true:

4.2      Solve :    -9   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3      Solve  :    h-16 = 0

Add  16  to both sides of the equation :

                     h = 16

Answer:

r < 3/2 or r < 1.5

Step-by-step explanation:

-8r - 9 > 21

-8r > -21 +9

-8r > -12

divide both sides by -8

= r < 3/2 or 1.5

Answer:

B 7.5

Step-by-step explanation:

Answer:

B 7.5 because it's a dilation of -5, meaning you divide 15/2 to get the answer.

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Mean distance of earth from the sun = 93 million miles

Let mean distance of earth from the sun = d

The variation on the distance is as much as 1. 6 million miles

Possible distances of the earth from the sun can be modeled using :

|d - 93| = ± 1.6

Where d = distance from earth to the sun

d = - 1.6 million + 93 million

d = 91.4 million

d = 1.6 million + 93 million

d = 94.6 million

Hence, possible distance from earth to the sun :

91.4 < d < 94.6

Answer:

it would cost him $3

Step-by-step explanation:

$9 divided by the 15 pencils is 0.6 cents

0.6 times 5 equals $3

Answer:

I love Skittles

what's your favorite color?

Answer: Negative 3

Step-by-step explanation: 2n(5)=9n-3. 10n=9n-3. Subtract 9n from both sides. n= -3

Answer:

Step-by-step explanation:

Imagine line BF parallel  to both AB and CD

Then

Answer:

Step-by-step explanation:

∠EAB = 73

∠BCD = 52    

          125

∠ABC = 360 - 125

          = 235°

Answer:

proof below

Step-by-step explanation:

Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)

Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;

(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2

= 2(2a^2 + 2a + 2b^2 + 2b + 1)

Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.

Answer:

21 and -3

Step-by-step explanation:

Hope this helps!!! :)

Answer:

2(x² + 5)

Step-by-step explanation:

To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:

2x² + 10 = 2(x² + 5)

We can't factor anymore, so the answer is:

2(x² + 5)

Answer:

2(x² + 5)

Step-by-step explanation:

To factorise this, do the distributive property backwards. In other words:

2x² + 10

2x² ÷ 2 + 10 ÷ 2

x² + 5

2(x² + 5)

∴ 2(x² + 5) is the answer