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MariettaO [177]
3 years ago
6

The track team needs new uniforms. The students plan to sell plush toy hawks (the school mascot) for $5 each. The students find

three companies on line that sell stuffed mascots. Company A sells 18 hawks for $49.14. Company B sells 12 hawks for $33.12. Company C charges $40.65 for 15 hawks. Which company has the Best Buy?
Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

7...................

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Reflect the point (2, -4) over the y-axis.
diamong [38]

Answer:

I think its a. (-2,-4)

Step-by-step explanation:

7 0
3 years ago
Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan
inn [45]

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

In the first point let z be the number of heads which is available on the first two trails of tosses so, the equation is:

P(X=k | z=2 ) = \begin{pmatrix} 10-2\\ k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k}

                         = \begin{pmatrix} 8\\k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k} \ \ \ \ \ \ \ \ \  \ \\\\

                                                                                                       k= 2,3..........10For option B:

P(X=k | X \geq 2 ) =  \sum^{10}_{i=2}  \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}

                                                                                                k= 2,3, 4.........10

8 0
3 years ago
Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now
Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

3 + y = \frac{1}{4}(3 + x)

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0
3 years ago
From the set (33, 15, 12), use substitution to determine which value of x makes the equation true.
zepelin [54]
X=12 because 3 times 12 equals 36. if you divide by 3 on both sides you would be left with that
8 0
3 years ago
A person has $10,100 to invest in two different stock. Stock ABC costs $32 per share and pays dividends of $1.20 per share. Stoc
marusya05 [52]

Answer:

$ 3199.0

Step-by-step explanation:

Let the number of shares of ABC = x

and XYZ = y

writing each as a linear equation

32 x + 23 y = 10100  equation 1

1.2 x + 1.4 y = 540

1.4 y = 540 - 1.2 x

y = (  540 - 1.2 x) / 1.4

substitute for y in equation 1

32 x + 23( 540 - 1.2 x) / 1.4 = 10100

32 x + 8871.43 - 19.71 x = 10100

collect the like terms

32 x -  19.71 x = 10100 - 8871.43

12.29 x = 1228.57

x = 1228.57 / 12.29 = 99.97

the amount of money to be invested in ABC shares = 99.97 × $ 32 = $ 3199.0

8 0
3 years ago
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