Answer:
The z-statistic for this test is -1.547 and P-value of the test is 0.0618
Step-by-step explanation:
An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes.
We are given that A random sample of n=82 C of I students found 30 with brown eyes.
n = 82
x = 30

Now to find z statistic we will use one sample proportion test



Formula of test statistic =
=
=
So, the z-statistic for this test is -1.547
Now refer the z table for p value .
p value = 0.0618
The P-value of the test is 0.0618
Hence the z-statistic for this test is -1.547 and P-value of the test is 0.0618
Jocab will take 4 more weeks to buy that MP3 player.
<u>Step-by-step explanation:</u>
Given:
Cost of MP3 player = $ 195
Earning per week = $ 225
Expenses per week = $ 180
To Find:
Weeks still required to save money for buying MP3 player.
Formula to be used:
Savings per week = Earning - Expenses
Solution:
Savings per week = Earning - Expenses
= $ 225 - $ 180 = $ 45
Already saved = $ 55
Need to save = $ 195 - $ 55 = $ 140
So for 4 weeks savings = $ 45 × 4 = $ 180
Thus Jocab will take 4 more weeks to buy that MP3 player.
Answer:
B. 64:25
Step-by-step explanation:
the ratio of the surface areas =
(8)² : (5)² = 64 : 25
Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank
boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time
boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet
The time is the same rate x time = distance distance/rate = time equate the distances divided by the respective rates
(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x
1100x + x^2 = 1400x + 700000
x^2-300x -700000 = 0 quadratic formula yields x = 1000
One boat travels 700 the other 1000 whe they first meet.....width of river = 700+ 1000 = 1700 m