Make a decision about the given claim. Use only the rare eventrule, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favors heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).

Claim: The mean

age

of students in a large

math

class is

greater

than

19

.

A simple random sample of the students has a mean

age

of

19.6

.

Choose the correct answer below.

A.

The sample

is

unusual if the claim is true. The sample

is

unusual if the claim is false. Therefore, there

is

sufficient evidence to support the claim.

B.

The sample

is not

unusual if the claim is true. The sample

is not

unusual if the claim is false. Therefore, there

is not

sufficient evidence to support the claim.

C.

The sample

is not

unusual if the claim is true. The sample

is not

unusual if the claim is false. Therefore, there

is

sufficient evidence to support the claim.

D.

The sample

is

unusual if the claim is true. The sample

is

unusual if the claim is false. Therefore, there

is not

sufficient evidence to support the claim.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s