Answer:
V = 678.24cubic cm
Step-by-step explanation:
Volume of a cylinder
V = πr^2h
V - volume of a cylinder
π - pie
r - radius of a cylinder
h - height of a cylinder
Given:
π - 3.14
h - 6
d = 12
d = 2r
Divide both sides by 2
d/2 = 2r/2
d/2 = r
r = d/2
r = 12/2
r = 6
Insert the values into the formula
V = πr^2h
V = 3.14 * 6^2 * 6
= 3.14 * 36 * 6
= 678.24cubic cm
Given my current rate = $129.00 per month.
Savings of 15% over your prices.
Therefore, saving = 15% of $129.00 = 0.15 × 129.00 =$19.35.
Adjusted rate = current rate - saving = 129 - 19.35 = $109.65
Therefore, We can rewrite above expression as :
My current rate is $129.00<u> </u><u>per month</u>." Representative: "We will match any competitive offer. Your adjusted rate will be <u>109.65 </u>dollars per month."
Answer:
1) Find the probability that a chosen book is nonfiction and hard-covered. P(N ∩ H) = 4/20
2) Find the probability that a chosen book is hard-covered. P(H) = 11/20
3) Calculate the conditional probability. = 4/11
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1.) 4/20
2.) 11/20
3.) 4/11
Answer:
1) 120
2) E (Z) = 12 and Variance of Z = 90
a) 5 liters
Step-by-step explanation:
1. We can find this by suing combinations.
Here n= 10 and r= 3 so n C r
= 10 C 3= 120
2. E(X) = 8 and E(Y) = 3
Z = 2X - 3Y +5
E(Z ) = 2 E (X) - 3(E)(Y) +5 ( applying property for mean)
= 2(8) - 3(3)+ 5 = 16+5-9= 21-9= 12
V(X) = 9 and V(Y) = 6.
V(Z) = E(Z )²- V(X) *V(Y) (applying property for Variance for two variables )
= 144- 54= 90
3. 55 liters contain adulterated milk in 7: 4.
So it contains 4/ 11*55= 20 liters of water
But we want to make it a ratio of 7:6
the water will be 6/13 *55= 25.38 when rounded gives 25 liters of water
So 25- 20 = 5 liters must be added to make it a ratio of 7:6
<span><span>1. </span>We
have 2 boxes weighs:
=> 9.4 lb and 62.6 lbs.
Now, let’s estimate the total weight of this 2 boxes using rounding and
compatible numbers.
For 9.4 lbs , the rounded and compatible number is 9 lbs
And for 62.6 lbs, the rounded and compatible number is 63 lbs
=> now, let’s try adding both numbers if we get a close answer
=> 9 +63
=> 72 = the estimated and rounded answer is 72.
Let’s check if we have close answer
=> 9.4 + 62.6
=> 72</span>
