In a representative sample of 1000 adult americans, only 460 could name at least one justice who is currently serving on the u. s. supreme court. using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult americans can name at least one justice currently serving on the supreme court. (for z give the answer to two decimal places. for p give the answer to three decimal places.)z=p=

P=2.326

Step-by-step explanation:

Raw Score (X):=1000

Population Mean (μ):=460

Standard Deviation (σ):=Sqrt(npq)

Where n=1000, p=460/1000=0.46 and q=1-0.46=0.54

Sqrt(npq)=sqrt(460X0.54)=15.7607

Z = (X - μ) / σ

Z = (1000 - 460) / 15.7607

Z = 34.26244

For p-value 0.01

P(x=0.01) = 2.32635

Hence, P=2.326 t 3 decimal places.

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.