Answer:
4 is not. (3 is)
Step-by-step explanation:
A number is the multiplicative inverse of 7 (mod 10) if the product mod 10 is 1.
7 × 4 mod 10 = 28 mod 10 = 8 . . . . not 1
Answer:
Graph represented by option D is the correct choice.
Step-by-step explanation:
We have been given that a parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at .
Since the minimum value of our given parabola is 0, so y-coordinate of vertex of parabola would be 0. This means that vertex of parabola will be at x-axis.
Since Since the minimum value of our given parabola is 0, so our parabola will be upward opening.
We are also told that parabola has an axis of symmetry at . This means that parabola will be symmetric about line .
The y-intercept of parabola is 4. This means that parabola will intersect y-axis at point .
Upon looking at our given choices, we can see that option D is the correct choice as it meets all the given conditions.
The answer is d. The y-intercept is at 4, the parabola is at 0 and the axis of symmetry is x=-2.
O
After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 2000, the hay in that country was contaminated by a radioactive
isotope (half-life 7 days). If it is safe to feed the hay to cows when 14% of the radioactive isotope remains, how long did the farmers need to wait to use this hay?
The farmers needed to wait approximately days for it to be safe to feed the hay to the cows.
(Round to one decimal place as needed.)
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Answer:
19.9 days
Step-by-step explanation:
The amount remaining after d days is ...
a = (1/2)^(d/7)
We want to find d when a = 0.14
log(a) = (d/7)log(1/2)
d = 7·log(0.14)/log(1/2) ≈ 19.855 ≈ 19.9
The farmers need to wait about 19.9 days for it to be safe.
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
Th The population mean
The standard deviation is
The values considered is
Given that the distribution of the amounts spent follows the normal distribution then the percent of the adults spend more than $2,550 per year on reading and entertainment is mathematically represented as
Generally
So
substituting values
From the normal distribution table the value of is
Thus
We calculate the z-score for the amount $2,550 using the given mean and standard deviation. The z-table gives us the percentage of people who spend less than this, which we subtract from 1 to find the percentage who spend more. Approximately 16.85% of adults in the 25- to 34-year age group spend more than $2,550 on reading and entertainment each year.
To compute the percentage of adults spending more than $2,550 per year, we must first find the z-score associated with this value. The z-score is a measurement of how many standard deviations a particular data point is from the mean.
The formula for calculating the z-score is: Z = (X - μ) / σ.
Where:
- X is the value we are interested in.
- μ is the mean.
- σ is the standard deviation.
Using this formula, the z-score for $2,550 is:
Z = ($2,550 - $1,999) / $574 = 0.96.
Next, we need to use a z-table or a standard normal distribution table to find out the probability that lies below the calculated z-score. Looking this up on a z-table, we get a value of 0.8315, meaning that 83.15% of the population will spend $2,550 or less per year on reading and entertainment. Since we want to know the percentage spending more than $2,550, we subtract this value from 1: 1 - 0.8315 = 0.1685.
Therefore, based on the given mean and standard deviation, about 16.85% of adults in the 25- to 34-year age group spend more than $2,550 on reading and entertainment each year.
#SPJ3
Answer:
A
Step-by-step explanation:
hope this help