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Leno4ka [110]
1 year ago
8

A bag has six balls labeled A, B, C, D, E, and F.

Mathematics
1 answer:
g100num [7]1 year ago
8 0

Sample space={ A,B,C,D,E,F}

Event of choosing A or C = {A,C}

What is sample space?

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled: A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

This means that the sample space is given by:

Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from A or  C.

Then the sample space is:

Sample space= {A,C}

To know more about sample space, visit:

brainly.com/question/23583836

#SPJ9

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In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagon
Helga [31]

Answer:

\dfrac{2ab}{a+b}.

Step-by-step explanation:

Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.

Since triangles BOC and AOD are somilar, then

\dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}.

Triangles OAE and CAB are similar, then

\dfrac{EO}{BC}=\dfar{AO}{AC}=\dfrac{b}{a+b}.

This means that

EO=\dfrac{ba}{b+a}.

Similarly, from similar triangles FDO and CDB:

OF=\dfrac{ba}{b+a}.

Thus,

EF=\dfrac{2ab}{a+b}.

6 0
4 years ago
Amy cut 32 ft of chain into pieces that were each 1/4 ft long. How many of these did Amy have after cutting the chain?
agasfer [191]

128 pieces can be made after cutting the chain

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

Given that, Amy cut 32 ft of chain into pieces that were each 1/4 ft long

<em><u>To find: Number of pieces after cutting the chain</u></em>

From given,

\text{Total length of chain } = 32 \text{ feet }\\\\\text{Length of 1 piece } = \frac{1}{4} \text{ feet }

Thus the number of pieces after cutting the chain can be found by dividing the total length of chain by length of 1 piece

\text{Number of pieces} = \frac{\text{Total length of chain}}{\text{Length of 1 piece }}

<em><u>Substituting the values, we get</u></em>

\text{Number of pieces} = \frac{32}{\frac{1}{4}}\\\\\text{Number of pieces} = 32 \times 4 = 128

Thus 128 pieces can be made after cutting the chain

8 0
3 years ago
Find the values of x and y that make these triangles congruent by HL.
Serhud [2]

Leg CB = x and leg DE = y - 1. Becuase of the markings on the triangles, we know that CB = DE; therefore, x = y - 1. So let's use that x value when we set the 2 hypotenuses equal to each other. Before any substition, 3x - 2 = 2y + 1. Subbing in for x we have 3(y - 1) - 2 = 2y + 1. And 3y - 3 - 2 = 2y + 1. Combining like terms we have y = 6. If y = 6, we will sub it into the leg equation to find x. x = y - 1; therefore, x = 6 - 1 and x = 5. There you go! x = 5 and y = 6

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4 years ago
Sam climbed 650 steps in 12 1/2 minutes. How many steps did Sam climb per minute
In-s [12.5K]

Answer:

52 steps per minute

Step-by-step explanation:

Just divide. 650 ÷ 12.5 =52

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