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MrMuchimi
3 years ago
8

A team of five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids

selected. What is the size of the same space
Mathematics
1 answer:
vichka [17]3 years ago
7 0

Answer:

S= 4

Step-by-step explanation:

Given

Total = 20

Selection = 5

Required

Determine the size of sample space

Represent this with S

S is calculated by dividing the total number of kids by the number of selection.

S = \frac{Total}{Selection}

S = \frac{20}{5}

S= 4

<em>Hence, the sample space has a size of 4</em>

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Someone help me please
laila [671]

Answer:

37°

Step-by-step explanation:

You can see it is a right angle. Do 90-AOB angle=BOC angle.

4 0
3 years ago
A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi
Luden [163]

Answer:

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

Step-by-step explanation:

Data given and notation

\bar X=3.4 represent the sample mean  

\sigma=0.4 represent the population deviation for the sample

n=50 sample size  

\mu_o =3.3 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

Compute the test statistic  

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can replace in formula (1) the info given like this:  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

6 0
3 years ago
Suppose the system of linear equations has infinitely many solutions. What is the value of y for the second equation?
Otrada [13]
I believe it would be 4

This is because when divided by 3, 3x+12y=3 turns into x+4y=3
6 0
3 years ago
Read 2 more answers
Question: A canary's beak is, at most, 20mm long. Which algebraic inequality represents this situation?
Paul [167]

Answer:

Option (1).

Step-by-step explanation:

Statement given states that "A canary's beak is, at most 20 mm long."

Word "at most" means "the maximum".

So at most length of the beak means "length of the beak is less than equal to 20 mm".

And the expression representing this statement algebraically will be,

x ≤ 20

Therefore, option (1) will be the correct option.

8 0
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Probability is 4/12, or 1/3
5 0
3 years ago
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