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swat32
3 years ago
6

3) Greta has 2 bags of tiles

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer:

B would be a *dependent* event, and A would be an *independent* event.

Step-by-step explanation:

Independent events are separate events where the outcome in either event does not affect the other's probability. The opposite, where the outcome of the one event affects the other's probably, is dependent.

For Option A, taking a tile out and then replacing it does not affect the probability that the same tile will be picked for the 2nd picking.

For Option B, taking a tile out of the bag and then picking another tile are 2 separate events and both have different probabilities for picking identical tiles.

Therefore, Option B is dependent and Option A is independent.

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What is the equation of the line perpendicular to y=2x+3.14 going through the points (2,4)?
inessss [21]

Answer:

x+2y-10=0

Step-by-step explanation:

Consider an equation: y=mx+c

Here, m is the slope of the line and c is the y-intercept.

Given equation is y=2x+3.14

Here, slope is m=2

As product of slopes of two perpendicular lines is equal to -1, slope of the required line is m_1=\frac{-1}{m}=\frac{-1}{2}.

Let (x_1,y_1)=(2,4)

Equation of the required line is y-y_1=m_1(x-x_1)

y-4=\frac{-1}{2}(x-2)\\2(y-4)=-1(x-2)\\2y-8=-x+2\\x+2y-8-2=0\\x+2y-10=0

8 0
3 years ago
What is the length of bc round to the nearest tenth]
GalinKa [24]

Answer:

you didn't show us the image to see bc

8 0
3 years ago
If RS =14 and ST=9 ​, find RT. Use the number line below<br><br> RT=
Bingel [31]

Answer:

23

Step-by-step explanation:

RS = 14

ST = 9

That means S is in the middle of R and T because it has two line segments associated with it

RT = RS + ST

RT = 14 + 9

RT = 23

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
2 years ago
Solve algebraically for x:<br> 3600 + 1.02x &lt; 2000 + 1.04x
Nata [24]

Answer:

x < 80000

Step-by-step explanation:

3600 + 1.02x < 2000 + 1.04x \\  \frac{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  - 1.04x <  \:  \:  \:  \:    \:  \:  \:  \:  \:  \:  \:  \:  \:  - 1.04x}{3600 - 0.02x < 2000}  \\  \\ 3600 - 0.02x < 2000 \\  \frac{ - 3600 \:  \:  \:  \:  \:  \:  \:  \:  \:  <  - 3600}{ - 0.02x <  - 1600}  \\  \\  \frac{ - 0.02x}{ - 0.02}   <  \frac{ - 1600}{ - 0.02}  \\  \\ x < 80000

4 0
3 years ago
The Magazine Mass Marketing Company has received 1515 entries in its latest sweepstakes. They know that the probability of recei
wariber [46]

Answer:

P(x < 5)=P(X=0)+P(X=1)+P(X=2)+P(x=3)+P(X=4)

P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305

P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000458

P(X=2)=(15C2)(0.5)^2 (1-0.5)^{15-2}=0.0032

P(X=3)=(15C3)(0.5)^3 (1-0.5)^{15-3}=0.0139

P(X=4)=(15C4)(0.5)^4 (1-0.5)^{15-4}=0.0417

And adding we got:

P(x < 5)=0.0592

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=15, p=0.5)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(x < 5)=P(X=0)+P(X=1)+P(X=2)+P(x=3)+P(X=4)

P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305

P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000458

P(X=2)=(15C2)(0.5)^2 (1-0.5)^{15-2}=0.0032

P(X=3)=(15C3)(0.5)^3 (1-0.5)^{15-3}=0.0139

P(X=4)=(15C4)(0.5)^4 (1-0.5)^{15-4}=0.0417

And adding we got:

P(x < 5)=0.0592

7 0
3 years ago
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