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Mazyrski [523]
3 years ago
14

How do you answer these two questions?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
7 0
I think you could multiply or divide. Hope this helps:)
You might be interested in
David's chance of making a free throw is 80%. In a game, he takes 10 free throws. What is the probability he makes 8 or fewer fr
maks197457 [2]

Answer:

P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]

And we can find the individual probabilities like this:

P(X=9)=(10C9)(0.8)^{9} (1-0.8)^{10-9}

P(X=10)=(10C10)(0.8)^{10} (1-0.8)^{10-10}

And replacing we got:

P(X\leq 8)=1-[10(0.8)^1 (1-0.8)^{1} + (0.8)^{10}]

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Solution to the problem

For this case we want this probability:

P(X\leq 8)

And for this case we can use the comlement rule and we got:

P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]

And we can find the individual probabilities like this:

P(X=9)=(10C9)(0.8)^9 (1-0.8)^{10-9}

P(X=10)=(10C10)(0.8)^{10} (1-0.8)^{10-10}

And replacing we got:

P(X\leq 8)=1-[10(0.8)^9 (1-0.8)^{1} + (0.8)^{10}]

4 0
2 years ago
What is the relationship between 5 in these two numbers 8,523 and 9,852
babymother [125]

Answer:

The 5 in 8523 is 10x greater than the 5 in 9852.

Step-by-step explanation:

Note the place value of the two number's digit 5:

8<u>5</u>23: Hundreds place value.

98<u>5</u>2: Tens place value.

10 x 10 = 100 ∴ The 5 in 8523 (hundreds place value) is 10x greater than the 5 in 9852 (tens place value).

~

4 0
2 years ago
Helppp! (m−3+4n)⋅(−8)
-BARSIC- [3]

Answer:

-8m + 3 - 32n

Step-by-step explanation:

Distributive Property

-8m + 3 - 32n

4 0
2 years ago
Find the value of x, y, and z in the rhombus below.
Yuki888 [10]

Solution:

<u>It should be noted:</u>

  • Opposite sides of a rhombus are always equal.
  • Opposite angles of a rhombus are always equal.

<u>Thus:</u>

  • (-y - 10) = 90°
  • 3z - 3 = 90°
  • 4x - 2 = 90°

<u>Finding x:</u>

  • 4x - 2 = 90°
  • => 4x = 90 + 2
  • => 4x = 92
  • => x = 23

<u>Finding y:</u>

  • (-y - 10) = 90°
  • => -y - 10 = 90°
  • => -y = 100
  • => y = -100

<u>Finding z:</u>

  • 3z - 3 = 90°
  • => 3z = 90 + 3
  • => 3z = 93
  • => z = 31
4 0
2 years ago
Read 2 more answers
Which characteristics best describe an acute isosceles triangle?
Paladinen [302]
Isocoleese means that 2 sides and hence 2 angles are same measure
acute means that all 3 angles are less than 90 degrees

We can rule out choice I since acut means less than 90

II is a possibility, but it doesn't best describe it

III. that is true, but it doesn't include the isocileese part

IV. that is true, but doesn't include the acute part

not sure, either III or IV
4 0
2 years ago
Read 2 more answers
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