Answer:
3.48pounds
Step-by-step explanation:
given data
cost of Almonds= $5.2
cost of raisins= $2.75
total cost = $11.7
given that the relationship that represents the cost for the two quantities is
5.20a + 2.75r = 11.70
where a= almond
r= raisin
we are going to substitute a=0.41 in the expression to solve for r
5.20(0.41) + 2.75r = 11.70
2.132+2.75r=11.7
collect like terms
2.75r=11.7-2.132
2.75r=9.568
r=9.568/2.75
r=3.48
Your answer is A look at the Z coordinates x value
The first answer is A because (b+6) represents the sidewalk length. (With the pool length and the two corners, which equal 3 ft each.) Then, the sidewalk width would be (h+6) for the same reason. Multiply them and get the pool area plus the sidewalk area. But you only need the sidewalk area so you would subtract the pool area from the whole area, to get (b+6)(h+6)-bh, or A in the end.
Unfortunately, I do not know the answers to the rest of the problems. I still hope this helped though!
Answer:
a) P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation = P(z > 1) = 0.159
Step-by-step explanation:
a) This question can be solved using binomial distribution function formula
Using Binomial,
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of refrigerators to be examined before getting 5 refrigerators with defective compressors = 6
x = Number of successes required = 5
p = probability of success = probability of examining a refrigerator with defective compressor out of the total 12 = 5/12 = 0.4167
q = probability of failure = probability of examining a refrigerator without defective compressor out of the total 12 = 1 - (5/12) = 7/12 = 0.5833
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833)⁶⁻⁵
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833) = 1(0.01256)(0.5833) = 0.04397
P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation represents Z-score of z > 1
Using the normal distribution tables,
P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159
Answer: 7/8
Step-by-step explanation: Notice that 1/2 and 3/8 are unlike fractions. Our first when adding unlike fractions is to get a common denominator.
The common denominator of 2 and 8 will be the least common multiple of 2 and 8 which is 8.
To get an 8 in the denominator of 1/2, we multiply the numerator and the denominator by 4 which gives us 4/8.
Notice that 3/8 already has an 8 in the denominator so we leave it how it is.
Now we are adding like fractions.
To add like fractions, or fractions that have the same denominator, simply add the numerators and keep the original denominator.
So here, if we add the numerators we have 4 + 3 which gives us 7 and we put this over our original denominator which is 8 and we have our answer. Also, notice that 7/8 is in lowest terms so it's our final answer.
This means that 3/8 + 1/2 = 7/8
