Answer:x³-8x²-x+8
Step-by-step explanation:
x are equal to -1,1,8 respectively
to form the polynomials just simply use this method put (x-)to the given numbers that are zeros of the polynomials
(x-(-))(x-1)(x-8)
(x+1)(x-1)(x-8) →(x+1)(x-1) are diff. of two squares (x²-1)
(x²-1)(x-8)
x²(x-8)-1(x-8)
p(x)=x³-8x²-x+8
The answer is the first row.
Explanation:
8 * 10^7 = 80,000,000 -- 2 * 10^4 = 20,000
80,000,000 divided by 20,000 = 4,000, so it is 4,000 times larger
Therefore, the first answer is correct.
Hope I helped and good luck!
Answer:
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
The proportion of infants with birth weights between 125 oz and 140 oz is
This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So
X = 140
has a pvalue of 0.9772
X = 125
has a pvalue of 0.8413
0.9772 - 0.8413 = 0.1359
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
Answer:
7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Step-by-step explanation:
We are given that,
The amount of ingredients needed for the trail mix are,
Raisins = cup
Peanuts = 1 cup
Chocolate chips = cup
Since, Kiran needs to make 10 cups of the trail mix.
The amount of ingredients needed will be,
Raisins = = = 7.5 cups
Peanuts = 1 × 10 = 10 cups
Chocolate chips = = 5 cups
Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
V = 1/3 * (pi) * r^2 * h
(pi) = 3.14
r = 6
h = 3
V = 1/3 * (3.14) * 6^2 * 3
V = 1/3 * 3.14 * 36 * 3
V = 1/3(339.12)
V = 339.12 / 3
V = 113.04 cubic inches <==
