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3 years ago

9

Lennon has a checking account he withdrew $130 from atm Tuesday. Wensday he deposited $240. Friday he wrote a check for $56. Wha

t was the total change in lennon's account

1 answer:

ella [17]3 years ago

3 0

So it would look like this:
-130
+240
-56
Or any other variation of this, but anyways, the total change in Lennon's account would be $54

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. Find the surface area of a sphere with diameter 30 m. Leave your answer in terms of

OlgaM077 [116]

The sphere has surface are of 900π m².

Step-by-step explanation:

Given,

Diameter = d = 30m

Radius = $\frac{d}{2} =\frac{30}{2} = 15m$

Surface area of sphere = $4\pi\ r^2$

$Surface\ area = 4*\pi *(15)^2\\Surface\ area = 4*\pi * 225\\Surface\ area= 990\pi$

The sphere has surface are of 900π m².

Keywords: Surface area, multiplication

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Find A and B. Using the image above.

NeX [460]

Answer:

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Step-by-step explanation:

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--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

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3 years ago

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3 years ago

Read 2 more answers

A library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesday's mail. In actuali

Dominik [7]

Answer:

y 0 1 2 3

P(Y=y) 0.0676 0.3549 0.3875 0.19

Step-by-step explanation:

P(Wed) = 0.26

P(Thurs) = 0.39

P(Fri) = 0.25

P(Sat) = 0.10

Y = No. of days beyond Wednesday it takes for both magazines to arrive i.e. 0,1,2,3

Y=0 means the magazines will arrive on Wednesday

Y=1 means the magazines will arrive till Thursday

Y=2 means the magazines will arrive till Friday

Y=3 means the magazines will arrive till Saturday

The possible combinations for Y are

Y(W,W) Y(W,T) Y(W,F) Y(W,S)

Y(T,W) Y(T,T) Y(T,F) Y(T,S)

Y(F,W) Y(F,T) Y(F,F) Y(F,S)

Y(S,W) Y(S,T) Y(S,F) Y(S,S)

So, we can classify these possible outcomes as Y=0,1,2,3.

Y(0) = Y(W,W) (both magazines take 0 days to arrive beyond Wednesday)

Y(1) = Y(W,T), Y(T,T), Y(T,W) (both magazines take 1 day to arrive beyond Wednesday)

Y(2) = Y(W,F), Y(T,F), Y(F,F) Y(F,W) Y(F,T) (both magazines arrive till Friday)

Y(3) = Y(W,S), Y(T,S), Y(F,S), Y(S,W), Y(S,T), Y(S,F), Y(S,S) (both magazines arrive till Saturday)

To calculate the PMF, we need to calculate the probability for each of the points in Y(0,1,2,3).

Y(0) = Y(W,W)

= 0.26 x 0.26

Y(0) = 0.0676

Y(1) = Y(W,T) + Y(T,T) + Y(T,W)

= (0.26 x 0.39) + (0.39 x 0.39) + (0.39 x 0.26)

= 0.1014 + 0.1521 + 0.1014

Y(1) = 0.3549

Y(2) = Y(W,F) + Y(T,F) + Y(F,F) + Y(F,W) + Y(F,T)

=(0.26 x 0.25) + (0.39 x 0.25) + (0.25 x 0.25) + (0.25 x 0.26) + (0.25 x 0.39)

= 0.065 + 0.0975 + 0.0625 + 0.065 + 0.0975

Y(2) = 0.3875

Y(3) = Y(W,S) + Y(T,S) + Y(F,S) + Y(S,W) + Y(S,T) + Y(S,F) + Y(S,S)

= (0.26 x 0.10) + (0.39 x 0.10) + (0.25 x 0.10) + (0.10 x 0.26) + (0.10 x 0.39) + (0.10 x 0.25) + (0.10 x 0.10)

= 0.026 + 0.039 + 0.025 + 0.026 + 0.039 + 0.025 + 0.010

Y(3) = 0.19

y 0 1 2 3

P(Y=y) 0.0676 0.3549 0.3875 0.19

The PMF plot is attached as a photo here.

7 0

3 years ago