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katen-ka-za [31]
3 years ago
13

Suppose you toss a coin 100 times and get 60 heads and 40 tails. Based on these results what is the probability that the next fl

ip results in heads
Mathematics
2 answers:
Nata [24]3 years ago
8 0
The probability is 1/2. Even if you flip heads 100 times in a row, you still have a 50/50 chance of flipping heads or tails. The probability does not change no matter how many times you flip a certain side.

I hope this helps!
lawyer [7]3 years ago
7 0
No matter how many times you land on head or tail will change the probability on something with only two option it will always be 50/50
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How to solve 2/3:x::4.5:2 and 2/3%:1/5::50:x
solong [7]

A) x = 0.296

B) x= 15

Step-by-step explanation:

Step 1:

(2/3) : x :: 4.5 :2

By using expansion method,

(2/3) × 2 = 4.5 x

 x= (2/3) × 2 / 4.5

x = 0.296

Step 2:

(2/3) : (1/5) :: 50 :x

By using expansion method,

(2/3) x = (1/5) × 50

 x= (1/5) × 50 / (2/3)

x = 15

7 0
3 years ago
the ratio of oil to vinegar in a certain salad dressing is 8:5. how much oil must be blended with 7 liters of vinegar for that r
tia_tia [17]
To get the answer we can use propotion
8 oil ---------------5 vinegar
x oil----------------7 vinegar
Crossmultiply now
5x=8*7
5x=56   :5
x=11.2 - its the answer
8 0
4 years ago
Triangle GHJ and its image, triangle G’H’J’, are graphed on the coordinate grid below. On a coordinate plane, triangle G H J has
Ipatiy [6.2K]

The rotation is 90° counter clockwise.

<u>Step-by-step explanation:</u>

Triangle GHJ has the points G(2,5), H(3,3) and J(1,4)

And the coordinates changes after 90° counterclockwise rotation,

the points are changed from (x,y) to (-y, x) ,

so the triangle G'H'J' has the points G'(-5,2), H'(-3,3), J'(-4,1).

4 0
3 years ago
Read 2 more answers
Find the a. MEAN and b. STANDARD DEVIATION for the data set. Round to two decimal places.
Dafna11 [192]

Answer:

Explained below.

Step-by-step explanation:

(10)

The data set is:

S = {124, 94, 129, 109, 114}

The mean and standard deviation are:

\bar x=\frac{1}{n}\sum x=\frac{1}{5}\times [124+94+...+114]=114\\\\s=\sqrt{\frac{1}{n-1}\sum ( x-\bar x)^{2}}

  =\sqrt{\frac{1}{5-1}\times [(124-114)^{2}+(94-114)^{2}+...+(114-114)^{2}]}\\=\sqrt{\frac{750}{4}}\\=13.6931\\\approx 13.69

The correct option is B.

(11)

According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.

So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.

The correct option is B.

(12)

Let the score be <em>X</em>.

Given:

μ = 100

σ = 26

X=\mu-2\sigma

    =100-(2\times 26)\\=100-52\\=48

The correct option is B.

(13)

Let <em>X</em> be the prices of a certain model of new homes.

Given: X\sim  N(150000, 2300^{2})

Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:

P(147700

                                         =P(-1                                        

According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.

The correct option is D.

(14)

Compute the percentage of buyers who paid more than $154,800 as follows:

P(X>154800)=P(\frac{X-\mu}{\sigma}>\frac{154800-150000}{2400})

                                         =P(Z>2)\\=0.975\\

According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.

The correct option is D.

(15)

The <em>z</em>-score is given as follows:

z=\frac{x-\mu}{\sigma}

5 0
3 years ago
10 to the tenth power​
Gala2k [10]

over 9000 becuz it is over 9000

7 0
4 years ago
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