The answer is 70.......
Answer:
28% of 250 is 70
Step-by-step explanation:
If you turn 28% into a decimal it will turn into 0.28 so then multiply that by 250 and you'll get 70
5 will go into everything. That is one of the factors.
x^3 is in everything as well.
The highest common factor is 5x^3
So the greatest common factor (determined by the last term) is 5x^3
And the left over polynomial is x^3 + 7x + 3
b. How many canse will Lydia and Adam use total?
(a). 9 layers
(b). 285
In the question,
The Square Pyramid is needed to be made from the cans.
The base of the pyramid has = 81 cans
So,
Side of the Square = s
So,
Therefore, the number of cans on one side of the square base = 9 cans
So,
The number of cans will be reducing by 1 in each layer upto the point we are left with only 1 can in the top.
So,
1st layer = 9 cans
2nd layer = 8 cans
3rd layer = 7 cans
4th layer = 6 cans
5th layer = 5 cans
6th layer = 4 cans
7th layer = 3 cans
8th layer = 2 cans
9th layer = 1 can
Number of layers are = 9
(b).
Total number of cans used by Lydia and Adam will be,
Sum of number of cans in all the layers.
Therefore, the number of cans = 285
Answer:
A) 0.026
B) 0.130
Step-by-step explanation:
Complete Question
A factory received a shipment of 10 generators and the vendor who sold the items knows there are 4 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.
(A) If a sample of 4 generators is selected, find the probability that all in the sample are defective.
(B) If a sample of 4 generators is selected, find the probability that none in the sample is defective.
Solution
A) This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of generators to be picked = 4
x = Number of successes required = number of defective generators required = 4
p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40
q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60
P(X = 4) = ⁴C₄ (0.40)⁴ (0.6)⁴⁻⁴ = 0.0256 = 0.026 to 3 d.p.
B) n = total number of sample spaces = number of generators to be picked = 4
x = Number of successes required = number of defective generators required = 0
p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40
q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60
P(X = 0) = ⁴C₀ (0.40)⁰ (0.6)⁴⁻⁰ = 0.1296 = 0.130 to 3 d.p.
Hope this Helps!!!
a. Complete the congruence statement: △MNK ≅ △_______
b. What side is congruent to ≅ ______
c. Solve for x. _____
The given statements to be completed are completed as follows;
A) △MNK ≅ △RTP
B) TR ≅ NM
C) x = 7
We are given that;
△NMK ≅ △TRP
This means that Triangle NMK is congruent to Triangle TRP.
A) The naming of △NMK is now △MNK. Thus, we have to now re-name Triangle TRP to match the naming of △MNK. Thus;
△MNK ≅ △RTP
B) From the 2 given triangles, we can see that TR and NM are the same length and also perpendicular lines.
Thus they are congruent to each other and as such;
TR ≅ NM
C) Since TR and NM are congruent to each other. Then;
TR = NM
Thus;
3x - 1 = 20
3x = 20 + 1
3x = 21
x = 21/3
x = 7
Read more at; brainly.com/question/13547762
Answer:
A-△MNK ≅ △RTP
B- TR≅NM
C- X=7
Step-by-step explanation:
I did the assignment loves.
Simplified expression-?
Value-?
The expression 3x + 7x - 28 + 31 - 8x simplifies to 2x + 3. When x equals 2043, the value of the Simplifying Expression is 4089.
The given expression is 3x + 7x - 28 + 31 - 8x.
To simplify the expression, we first group together the like terms.
Thus, the expression becomes (3x + 7x - 8x) + (31 - 28).
This simplifies further to 2x + 3.
Next, to find the value of the expression for x = 2043, we substitute 2043 for x into the simplified expression, resulting in 2*2043 + 3 = 4089.
Therefore, the simplified version of the expression is 2x + 3 and the value of the expression for x = 2043 is 4089.
Learn more about Simplifying Expression here:
#SPJ3
select the explicit function which defines the sequence.
A.) f(n) = 1/3 • 2^(n - 1)
B.) f(n) = 2 • (1/3)^(n - 1)
C.) f(n) = 1/3 • 3^(n - 1)
D.) f(n) = 3 • (1/3)^(n - 1)
Answer:
D
Step-by-step explanation: