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malfutka [58]
2 years ago
7

Francis heard that a car

Mathematics
1 answer:
Temka [501]2 years ago
7 0

Answer:

$82.5

Step-by-step explanation:

$82.5

Step-by-step explanation:

We can calculate it with a direct rule of 3. As it has a 30% off, the remaining price is the 70% and we want to know how much is the 100%

We use the formula of the direct rule of 3

x = 82.5

The original price of the stereo was $82.5

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Find the circumference of circle with a radius of 63mm. Use 22/7 for pi
Mariulka [41]

Answer:

396

Step-by-step explanation:

circumference of a circle is 2 x pi x r = 2 x 63 x (22/7) = 396

5 0
3 years ago
Read 2 more answers
Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your
ololo11 [35]
No, they forgot to switch variable labels after solving for the independent variable...

y=-8x+4

y-4=-8x

(y-4)/-8=x 

Now that you have solved for the independent variable x, you switch the variable labels...

y=(x-4)/-8

f^-1(x)=(x-4)/-8     which should really be rewritten as:

f^-1(x)=(4-x)/8  :P
3 0
3 years ago
Read 2 more answers
Suppose that two teams play a series of games that ends when one of them has won ???? games. Also suppose that each game played
Musya8 [376]

Answer:

(a) E(X) = -2p² + 2p + 2; d²/dp² E(X) at p = 1/2 is less than 0

(b) 6p⁴ - 12p³ + 3p² + 3p + 3; d²/dp² E(X) at p = 1/2 is less than 0

Step-by-step explanation:

(a) when i = 2, the expected number of played games will be:

E(X) = 2[p² + (1-p)²] + 3[2p² (1-p) + 2p(1-p)²] = 2[p²+1-2p+p²] + 3[2p²-2p³+2p(1-2p+p²)] = 2[2p²-2p+1] + 3[2p² - 2p³+2p-4p²+2p³] =  4p²-4p+2-6p²+6p = -2p²+2p+2.

If p = 1/2, then:

d²/dp² E(X) = d/dp (-4p + 2) = -4 which is less than 0. Therefore, the E(X) is maximized.

(b) when i = 3;

E(X) = 3[p³ + (1-p)³] + 4[3p³(1-p) + 3p(1-p)³] + 5[6p³(1-p)² + 6p²(1-p)³]

Simplification and rearrangement lead to:

E(X) = 6p⁴-12p³+3p²+3p+3

if p = 1/2, then:

d²/dp² E(X) at p = 1/2 = d/dp (24p³-36p²+6p+3) = 72p²-72p+6 = 72(1/2)² - 72(1/2) +6 = 18 - 36 +8 = -10

Therefore, E(X) is maximized.

6 0
3 years ago
I’m going to be posting a lot of math questions so look at my account if you wanna answer the rest
IRINA_888 [86]

Answer:

3.Area=πr²

d=14ft

r=7 ft

22/7*7*7

area=154ft²

5.area =1/2 bh

h=13cm

area=32.5cm²

32.5=1/2*13*b

32.5=13/2b

=5.0 or 5

base=5cm

Step-by-step explanation:

4 0
2 years ago
A sweater at hollister costs 42. After tax the sweater is 44.94 .what is the sales tax rate
kotegsom [21]
Subtract 42 from 44.92 and then divide by 42. So it is 7%
6 0
2 years ago
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