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zepelin [54]
3 years ago
7

A statistics class conducts a chance experiment in which they observe students who buy a snack at the school vending machines. T

he type of snack (liquid or solid) is noted, as well as the number of calories from fat in the snack (less than 25, 25 to 75, or more than 75). Define L to be the event the item is liquid and B the event that the item has 75 or fewer calories of fat. How many outcomes are in the union of L and B?
Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:

5 possible outcomes

Step-by-step explanation:

The possible outcomes of the event L,  the item is liquid, are:

L= {liquid, less than 25; liquid, 25 to 75; liquid, more than 75}

The possible outcomes of the event B, the item has 75 or fewer calories of fat, are:

B= {liquid, less than 25; liquid, 25 to 75; solid, less than 25; solid, 25 to 75}

The possible outcomes for the union of L and B (L or B) are:

L or B = {liquid, less than 25; liquid, 25 to 75; liquid, more than 75; solid, less than 25; solid, 25 to 75}

Therefore, there are 5 possible outcomes in the union of L and B.

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A. 4/13

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4 0
2 years ago
In the figure below A,E,F and C lie in plane X. Points B and D do not lie in plane X. For each part below, fill in the blanks to
pav-90 [236]

Answer:

Step-by-step explanation:

(a). B, C and D are the distinct points that are collinear.

(b). FC and BD are the distinct lines that intersect each other at a point C.

(c). E, F, C and A are the points that are coplanar (on the same plane).

(d). Another name for plane X is plane AEF. (Since a plane is defined by the three distinct points on the same plane.

4 0
3 years ago
Find the absolute extrema of f(x) = e^{x^2+2x}f ( x ) = e x 2 + 2 x on the interval [-2,2][ − 2 , 2 ] first and then use the com
fredd [130]

f(x)=e^{x^2+2x}\implies f'(x)=2(x+1)e^{x^2+2x}

f has critical points where the derivative is 0:

2(x+1)e^{x^2+2x}=0\implies x+1=0\implies x=-1

The second derivative is

f''(x)=2e^{x^2+2x}+4(x+1)^2e^{x^2+2x}=2(2x^2+4x+3)e^{x^2+2x}

and f''(-1)=\frac2e>0, which indicates a local minimum at x=-1 with a value of f(-1)=\frac1e.

At the endpoints of [-2, 2], we have f(-2)=1 and f(2)=e^8, so that f has an absolute minimum of \frac1e and an absolute maximum of e^8 on [-2, 2].

So we have

\dfrac1e\le f(x)\le e^8

\implies\displaystyle\int_{-2}^2\frac{\mathrm dx}e\le\int_{-2}^2f(x)\,\mathrm dx\le\int_{-2}^2e^8\,\mathrm dx

\implies\boxed{\displaystyle\frac4e\le\int_{-2}^2f(x)\,\mathrm dx\le4e^8}

5 0
3 years ago
Rita wants to know the average weight of each apple in an 8-pound bag of apples. She purchased 5 bags and found the average appl
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Answer: o.8 lb  and 1.2 lb

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
I’m struggling with this question need some help
Sonbull [250]
Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).

So, for the first prism, the height is 117/(4*6.5) = 4.5

Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75

So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches
8 0
1 year ago
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