Consider the probability distribution of alternative rates of return associated with stock A and B given in the following table: State of economy a. b. 1 2 3 Probability 0.3 0.4 0.3 Stock A 5% 10 15 Stock B 25% 15 5 Calculate the expected return and standard deviation of stock A and B. If you form a portfolio of stock A and B comprising 70 percent wealth in stock A and the rest in stock B, Calculate the risk and return your portfolio. Does the portfolio help to diversify the risk [6+4​

Answer:

2nd quadrant

Step-by-step explanation

if an angle is between 90 and 180 degrees, it is in the second quardrant. since 0<x<90, 90+x will be more than 90 but less than 180, hence it lies in the second quadrant

Answer:

Yes

Step-by-step explanation:

To know if a table is a function or not, we have to see if 1 input only has 1 output.

Looking at the table each input only has 1 output, so it is a function.

Answer: ounces

Step-by-step explanation:

The figure is a quadrilateral.

Perimeter of quadrilateral QRST = 16 units

Area of quadrilateral QRST = 16 square units.

A quadrilateral is a polygon that has four vertices. The given vertices are four in number, it means the figure with the four vertices is a quadrilateral.

Perimeter of quadrilateral QRST = 2(QR + ST)

Area of quadrilateral QRST = (QR)(ST).

Given:

Q (−3,2)

R(1,2)

S(1,−4)

T(−3,−4)

Find the distance between Q and R, and S and T:

QR = |-3 - 1| = |-4| = 4 units

ST = |1 - (-3)| = |4| = 4 units

Perimeter of quadrilateral QRST = 2(4 + 4) = 2(8) = 16 units

Area of quadrilateral QRST = (4)(4) = 16 square units.

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Answer:

a. committed a type 1 error

Step-by-step explanation:

The correct option is - a. committed a type 1 error

Reason -

Type 1 error occurs  when a true null Hypothesis is rejected

Type 2 error occurs when a false null Hypothesis is accepted

Now,

Let us state that,

The null hypothesis and alternate hypothesis is

H0 : There is no difference between the mean lifetimes of the new and old designs

H1 : There is a difference between the mean lifetimes of the new and old designs

Now,

As there is no difference between the mean lifetimes of the new and old designs.

⇒ The null hypothesis is true.

But p value suggests that null hypothesis should be rejected

∴

We have committed a Type 1 error that is rejecting a true null hypothesis.

So,

The correct option is - a. committed a type 1 error

Answer:cross section

Step-by-step explanation:

A pentagonal prism is sliced with a plane parallel to the base. This means that the cross section is a pentagon that is congruent to the base. The area of the cross section is 15 square inches.

plz rate this

Answer:

pentagon

Step-by-step explanation:

A pentagonal prism is sliced with a plane parallel to the base. This means that the cross-section is a pentagon that is congruent to the base.

Answer:

-21/8 or -2 5/8

Step-by-step explanation:

The lake change is the same for all 7 years so you can subtract -3/8 seven times.

-3/8-3/8-3/8-3/8-3/8-3/8-3/8 = -21/8

as a mixed number it's -2 5/8

The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.

On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.

This image can be visualized as follows:

0        1        2        3        4        5        6        6.5

|--------|--------|--------|--------|--------|--------|--------|

        |------------------------|------------------------|

             0 to 2.5                 2.5 to 5

The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.

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Answer:

$56.35

Step-by-step explanation:

Ok so heres how I got through this in school. Take the 49 and divide it by the 100 meaning 100 percent. You take the 0.49 times the 15 percent to get 7.35. Lastly, you add the 49 dollars and the 7.35 together to get 56.35.

Answer:

No answer sorry.

Step-by-step explanation:

10 times 4 ten thousands = 40 ten thousands = 4 hundred thousands. Explain how you know this equation is true. 10 × 4 ten thousands = 40 ten thousands = 4 hundred thousands.

Answer:

Value of 4= 0.4

10 x 0.4 = 4

Step-by-step explanation:

Answer:

I hope this will help you :)

Step-by-step explanation:

6+(-x)+2x(-7)+2x

6-x+2x✖️(-7)+2x

6-x-14+2x

6-14-x+2x

-8+x

Answer:

0.771, 0.772, 0.773

Step-by-step explanation:

three numbers between 0.77 and 0.78

0.77 = 0.770

and

0.78 = 0.780

So,

0.770, 0.771, 0.772, 0.773, 0.780

= 0.77, 0.771, 0.772, 0.773, 0.78

Answer:

either at -21 or 3

Step-by-step explanation:

we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9

-9 - 12 is -21 and -9 + 12 is 3

Answer:

(a) \(\frac{1}{13}\)

(b) \(\frac{3}{13}\)

(c) \(\frac{10}{13}\)

Step-by-step explanation:

The probability of an event B occurring is given by;

P(B) =  \(\frac{n(E)}{n(S)}\)

Where;

P(B) = probability of the event B

n(E) = number of favourable outcomes

n(S) = total number of events in the sampled space.

From the question, the card is drawn randomly from a standard 52-card deck. The probability of

(a) drawing a "king" card is analyzed as follows.

Let the event of drawing the "king" card be B.

In a standard 52-card deck, the number of cards that are of type king is 4. i.e 1 from the diamond pack, 1 from the spade pack, 1 from the heart pack and 1 from the club pack.

Therefore, the number of favourable outcomes is 4, while the total number of events in the sampled space is 52.

The probability of drawing a "king" card, P(B) is;

P(B) = \(\frac{4}{52}\)

P(B) = \(\frac{1}{13}\)

(b) drawing a "face" card is analyzed as follows.

Let the event of drawing the "face" card be B.

In a standard 52-card deck, a face card can either be a Jack, Queen or a King. There are 4 Jack cards, 4 Queen cards and 4 King cards in the deck.  The number of cards that are of type face is 12.

Therefore, the number of favourable outcomes is 12, while the total number of events in the sampled space is 52.

The probability of drawing a "face" card, P(B) is;

P(B) = \(\frac{12}{52}\)

P(B) = \(\frac{3}{13}\)

(c) drawing a card that is not a "face" is analyzed as follows;

The sum of the probability of drawing a face card and the probability of not drawing a face card is always 1.

Let the event of drawing a "face" card be B and the event of not drawing a "face" card be C.

P(B) + P(C) = 1

P(C) = 1 - P(B)

From (b) above, the P(B) = \(\frac{3}{13}\)

Therefore,

P(C) = 1 - \(\frac{3}{13}\)

P(C) = \(\frac{10}{13}\)

Answer:

I don't know it's answer

Answer: Can you send a clearer picture. And i'll try answering the ones i can read. And the answers aren't in order so check the numberings. Also, sorry if some of the answers are wrong, I dont understand the numbers.

Q.7. g) 2*2*2*2*2*2*2*2

Q.7. b) 2*2*2

Q.7. a) 6*6*6

Q.7. d) 1

Q.7. c) 7.29 * 10^8

Q.8. a) 60466176

Answer:

5.49

Step-by-step explanation:

3+ 51= 54                  

54 x 1/10= 5.4    + 9 x 1/100

5.4 + 0.09=

5.49    

Answer: the answer is 45

Step-by-step Step-by-step explanation:

so it says a pilot goes from 0 to 8 and then two images above so you add to to eat and then you add 5 to 2:30 for me to 522 the artistic 24 + 27 + 5 then you answer 8 + 2028 and then you add 5 + 1 + 2 + 2 + 4 + 3 + 3 + 4 + 1 + 5 + 16 + 18 and you get 45

Answer:

A, A, B, B

Step-by-step explanation:

Answer:

the answer for the question is 26√13/12

Using linear regression, the estimate for the average cost per student at an enrollment of 750 students is of $373.

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(170, 539), (250, 482), (450, 421), (650, 415).

Inserting these points into the calculator, the function is:

y = -0.24733x + 558.23703.

When x = 750:

y = -0.24733(750) + 558.23703 = 373.

The estimate for the average cost per student at an enrollment of 750 students is of $373.

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Answer:

A. Eva

Step-by-step explanation:

Given that

The entire school, 250 students, went to the soap box derby.2 vans went to soap box derby and each van held 6 students.

To find the total number of students from the Math Club who went to the soap box derby, we need to add the number of students in each van, the number of times equal to the number of vans.

i.e. by adding 6 (i.e. number of students in each van) 2 (number of vans )number of times, we can get the number of students from Math Club who went to the soap box derby.

Number of Math Club students who went to the soap box derby = 6 + 6 = 12

OR

Simply, multiply number of students in each van with the number of vans .

6 \(\times\) 2 = 12

Therefore, Eva is correct about the calculations.

\(log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)\) is the completely expanded logarithmic expression .

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to  base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.

The most common types of logarithms are  the base 10 common logarithm, the base 2 binary logarithm, and  the base  e ≈ 2.71828 natural logarithm.

the product rule for logarithms is

\(log_{b}(MN) = log_{b}(M) + log_{b}(N)\)  for b > 0

now ,

\(log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)\)

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Answer:

! 2 red cards !

Step-by-step explanation:

Sia draws blue cards for each of her 3 turns: 4 • 3= 12

Sia draws red cards and ends up back at 0: 6 • 2 = 12

12 - 12 = 0

Sia drew 2 red cards since 6 • 2 = 12.

The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:

Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:

(x^3 - 12x^2) + (-2x + 24)

Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:

x^2(x - 12) - 2(x - 12)

Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:

(x - 12)(x^2 - 2)

Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

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Answer:

4.1 X 10^6

Step-by-step explanation:

count the zeros

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)

\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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