Answer:
- Mean score=120
Step-by-step explanation:
- Areas of a triangle add upto 180degrees (63+78+x=180) 141+x= (x=180-141) x=39
- Areas on a straight line add upto 180degrees
180-78=102
180-63=117
180-39=141
- 102+117+141=360
- Mean=360/3 =120
The value of 4 is Hundreds.
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The unit normal for the given plane is <5,2,-1>.
The equation of the plane parallel to the given plane passing through (5,5,4) is therefore
5(x-5)+2(y-5)-1(z-4)=0
simplify =>
5x+2y-z=25+10-4=31
Answer: the plane through (5,5,4) parallel to 5x+2y-z=-6 is 5x+2y-z=31
Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean, = 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.
1)
36/3 x 42/3 = 12yd x 14yd
12×14=168
you will need 168 square yards to recarpet the kindergarten.
2)
168×24.99=4198.32
it will cost $4198.32 to recarpet the kindergarten.
3)
3.5 is 35% of 10
4198.32÷3.5=1198.52
they will need to sell 1199 coupon books to completely pay for the the recarpeting.