Answer:
n = -9 or 9
Step-by-step explanation:
-1 + 5|n| = 44
~Add 1 to both sides
5|n| = 45
~Divide 5 to both sides
|n| = 9
~Knowing the absolute value rule, the answer can be positive or negative.
Best of Luck!
Answer:
Step-by-step explanation:
Hence, the value of n is 9 or -9.
Hoped this helped.
Answer:
thank you it means a lot
Answer:
3.2 millimeters
Step-by-step explanation:
1/8*2.54 *10 = 3.175
= 3.2 millimeter. (rounded to nearest tenth)
To convert the thickness from inches to millimeters, the given value (in inches) should be multiplied by 25.4 and the result rounded to the nearest tenth of a millimeter.
The subject of this question is a conversion of units from inches to millimeters. In such conversions, one of the basic knowledge is that 1 inch is equivalent to 2.54 centimeters (cm). However, in this case, we need the answer in millimeters (mm), not cm. Keep in the back of your mind that 1 centimeter (cm) is equal to 10 millimeters (mm). This means, 1 inch will be equivalent to 2.54 cm, which further converts to 25.4 mm.
To find out the maximum value of weld-root reinforcement in millimeters, we simply need to apply the conversion factors. To convert the given thickness in inches to millimeters, you multiply the given value (in inches) by 25.4. Round your answer to the nearest tenth of a millimeter.
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h(x) = -3x^2 + 4
Find (g + h)(x)
Answer:
The answer is the last line below.
Step-by-step explanation:
g(x) = 4x
h(x) = -3x^2 + 4
(g + h)(x) = 4x - 3x^2 + 4
Answer:
79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds
We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
What is the probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds?
This is the pvalue of Z when X = 52 subtracted by the pvalue of Z when X = 48. So
X = 52
By the Central Limit Theorem
has a pvalue of 0.8962
X = 48
has a pvalue of 0.1038
0.8962 - 0.1038 = 0.7924
79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds
What sampling distribution should we use to compute this probability?
We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.
Answer:
Step-by-step explanation:
(a).
Multiples of 4 are {4, 8, 12, 16, 20, 24, 28, ..... }
Multiples of 6 are {6, 12, 18, 24, 30, ..... }
12 and 24
(b).
Multiples of 6 are {6, 12, 18, 24, 30, 36, 42, ..... }
Multiples of 9 are {9, 18, 27, 36, 45, ..... }
18 and 36
B. Wood products
C. Pet trade
D. Quarantine
E. Ornamental plants