Answer:
We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 101.5
Sample mean, 
= 106.4
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 15
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and accept the alternate hypothesis.
Thus, we conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
<h3>After 6 weeks from now you will have $190 in your bank account</h3>
<em><u>Solution:</u></em>
Given that,
You have $55 in your bank account
Each week you deposit $8 from your allowance and $15 from your paycheck
<em><u>The equation that gives the amount b in your account after w weeks is:</u></em>
b = 55 + (15 + 8)w
<em><u>How many weeks from now will you have $190 in your bank account ?</u></em>
b = 190
w = ?
Therefore,
190 = 55 + (15 + 8) w
190 = 55 + 23w
23w = 190 - 55
23w = 135
Divide both sides by 23
Thus after 6 weeks from now you will have $190 in your bank account
560,000+313 = 560,313
560,313-100,000= 460,313
answer is 460,313
Answer:
103.
Step-by-step explanation:
If you plug in 9 for the value of x in the equation, 103 is your answer.
Answer:
120 for oxen, 80 for cows, 60 for calves
o = 2x
Step-by-step explanation:
3o + 4x + 6c = 260
x = 2c
o = 2x
6x + 4x + 3x = 260
13x = 260
260 / 13 = 20
3o = 6x = 120
4x = 80
6c = 3x = 60
o = 2x
