Answer:
0.80589
Step-by-step explanation:
So all of the numbers of correct answers less than 4 are 0,1,2,3
We need to calculate the probability for each separately and then add them together.
To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.
The combination formula is: ! / (!(−)!)
So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.
For 0;
The combination is 1,
1 x 0.3^0 x 0.7^8-0 =
0.057648
For 1;
The combination is 8,
8 x 0.3^1 x 0.7^8-1 =
0.19765
For 2;
The combination is 28
28 x 0.3^2 x 0.7^8-2 =
0.296475
For 3;
The combination is 56
56 x 0.3^3 x 0.7^8-3 =
0.254122
All that’s left is to add these four numbers;
0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589
Answer:
the last one, d
Step-by-step explanation:
simplify it and you get x+3, y+1 which is the translation on the graph.
Answer:
y = -2x + 8
Step-by-step explanation:
When two points are given, the equation of the line passing through the points is given by:
where: 
and 
are the two points passing through the line.
Here, 
and 
.
Substituting in the formula, we have:
⇒ 
⇒ y - 4 = -2x + 4
⇒ y = -2x + 8 is the required equation of the line.
The volume of the single crayon is 89.5 cm³, then the total volume of the crayons will be 2148 cm³. Then the correct option is D.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A Crayon is shown here.
There are 24 crayons in a box.
The approximate total volume of the crayons will be
Total Volume of crayons = 24 × volume of the single crayon
The crayon is the combination of the cone and the cylinder
Then the volume of the single crayon (V₁) will be
Then the Total volume will be
Total volume = 24 × 89.5
Total volume = 2148 cm³
More about the geometry link is given below.
brainly.com/question/7558603
#SPJ1
Answer:
Correct option:
"The distribution of the statistic in all possible samples of size <em>n</em> from a given population."
Step-by-step explanation:
The sampling distribution is a probability distribution of a sample statistic.
A sample statistic is a numerical value representing a characteristic of a sample. For example, the sample mean represents the mean value of the sample, the sample variance represent the variance of the sample. Both of these values are sample statistic.
A statistic is an unbiased estimator of the parameter value.
That is, the sample mean value can be used to estimate the value of population mean.
If various large samples are taken from a population and the sample statistic value is computed for each of these samples, then the probability distribution of theses sample statistic is known as the sampling distribution.
The mean of the sampling distribution is same as the population mean and the standard deviation of the sampling distribution is known as the standard error.
The correct option is:
"The distribution of the statistic in all possible samples of size <em>n</em> from a given population."
