Answer:
z = 2.1784 > 1.96,
Reject the null hypothesis
Step-by-step explanation:
For the males:
n1 = 162, x1 = 63
P1 = x 1/ n1 = 0.3889
For the Females:
n2 = 333,
x2 = 97
P 2 = x2/n2
= 0.2913
P 1= P2 Null hypothesis
P 1 is not equal to P 2 alternative hypothesis
Pooled proportion:
P= (x1 + x2) /( n1+ n2)
= (63 + 97) / (162 + 333)= 0.3232
Test statistics :
Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)
0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)
=2.1784
c) Critical value :
Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960
Reject H o if z < -1.96 or if z > 1.96
d) Decision:
z = 2.1784 > 1.96,
Reject the null hypothesis
Answer:
you can get 12 gallons on gas
Step-by-step explanation:
x/30=1/2.42
step 1) cross multiply
x * 2.42 = 1 * 30
2.42x=30
step 2) divide both sides by 2.42
2.42x/2.42 = 30/2.42
= 12.396694
round to the nearest gallon
≈12 gallons
7 times 2 will be 14 and 3 times 2 is 6. So you need to add 14 plus 6 and you get 20 :) Hope you enjoy!
Answer:
V = 1077.566 units²
Step-by-step explanation:
Assuming this is a cylinder, the formula is (area of base) × (height)
or (πr²)(h), simply plug-in the given values:
= (π(7)²)(7)
= (153.938)(7)
V = 1077.566 units²
The 3.1 °F/min rate of change of the temperature and 15 minutes change duration gives the change in temperature as 46.5 °F
<h3>How can the change in temperature be found from the rate of change?</h3>
The rate at which the temperature changed = 3.1 °F/min
The duration of the change in temperature = 15 minutes
The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;
Where;
∆T = The required change in temperature
∆t = The duration of the change = 15 minutes
Which gives;
∆T = 3.1°F/min × 15 minutes = 46.5 °F
- The change in temperature, ∆T = 46.5 °F
Learn more about the rate of change of a variable here:
brainly.com/question/10208814
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