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QveST [7]
2 years ago
14

On the day a coffee shop first opened, it had 140 customers. 65% of the customers ordered a large coffee.

Mathematics
1 answer:
Otrada [13]2 years ago
7 0

91 customers

Step-by-step explanation:

(140x65)/100=91

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Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost?
julia-pushkina [17]

Answer:

$28.80

Step-by-step explanation:

4.80 x 6 = 28.8

Hope this helped!

3 0
2 years ago
Read 2 more answers
Show that the following functions are probability density functions for some value of k and determine k. Then, determine the mea
lord [1]

Answer:

a) 17.5

b) 15.6

c) 13.3

d) 21.51

Step-by-step explanation:

The given function is equal to:

f(x)=kx^2

where

\int\limits^y_0 {kx^{2} } \, =1

where y=23

Clearing k=0.00025

a) Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.00025x^{2} } \, dx =17.5

b)Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2}f(x) } \, dx-17.5^{2}  =\int\limits^y_0 {x^{2} *0.00025x^{2} } \, dx -17.5^{2} =321.82-306.25=15.6

c) The function is equal to:

f(x)=k(1+2x)

\int\limits^y_0 {k(1+2x)} \, =1

where y=20

k=0.0024

Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.0024(1+2x)} \, dx =13.3

d) Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2} f(x)} \, dx -13.3^{2}=\int\limits^y_0 {x^{2} *0.0024(1+2x)} \, dx-13.3^{2}   =198.4-176.89=21.51

8 0
3 years ago
Which shows the following expression after the negative exponents have been eliminated? xy^-6/x^-4 y^2, x=/0 y=/0
Tom [10]
For this case we have the following expression:
 (xy ^ -6) / (x ^ -4y ^ 2)
 By power properties we can rewrite the expression as:
 (x * x ^ 4) / (y ^ 6 * y ^ 2)
 Then, for power properties:
 Same exponents are added:
 (x ^ (4 + 1)) / (y ^ (6 + 2))
 (x ^ 5) / (y ^ 8)
 Answer:
 
An expression after the negative exponents have been eliminated is:
 
(x ^ 5) / (y ^ 8)
3 0
3 years ago
Read 2 more answers
-1/2, -2, -8, -32<br> Is this geometric, arithmetic, or neither?
serg [7]

Answer:

Neither

Step-by-step explanation:

4 0
3 years ago
A roulette wheel has 38 slots. a gambler will play roulette 50 times, betting a dollar on four numbers each time. if one of thes
Keith_Richards [23]
For 1 play, the chance of gaining $8 is 4/38, while the chance of losing the $1 is 34/38. Therefore, the expected value is ($8)(4/38) + ($-1)(34/38) = $(-1/19). Over 50 plays, which are mutually independent of each other, we multiply the number of plays by the expected value to get $(-50/19) = $-2.63.
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7 0
3 years ago
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