Answer:
Step-by-step explanation:
Scientific notation is a mathematical way to express a large in decimal form. In scientific notation the number is represented by a decimal number between 1 and 10 multiplied by ten.
For example : Scientific notation of 7500 is
The given number is 31 billion.
We need to write the given number in scientific notation.
We know that
1 billion = 1,000,000,000
Using this conversion, we get
31 billion =31,000,000,000
In can we written as
Therefore, the scientific notation of 31 billion is .
A function assigns the values. The graph can be plotted as shown below.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
Given the function, g(x) = -3(1/2)ˣ, therefore, the value of g(x) can be written as,
g(x) = -3(1/2)ˣ
g(-2) = -3(1/2)² = -0.75
g(-1) = -3(1/2)¹ = -1.5
g(0) = -3(1/2)⁰ = -3
g(1) = -3(1/2)¹ = -1.5
Hence, the graph can be plotted as shown below.
Learn more about Function:
#SPJ1
Answer:
1)Area of the Land is 48 square meters
2) Area of flower bed is 28.26 square meter
3)Area of land excluding flower bed is 19.74 square meters
4)cost of planting grass in land excluding flower bed is Rs 118.44
Step-by-step explanation:
Given:
Length of the Rectangular plot = 8m
Width of the rectangular plot = 6m
Radius of the circular flower bed = 3m
1)Area of the Land
Area of the Rectangular plot = Area of the Land
Area of the Land = length x width
Area of the Land = 8*6
Area of the Land = 48 square meters-----------------------------(1)
2. Area of flower bed
Area of flower bed = 4 x area of one quadrant
Area of flower bed = area of the circle
Area of flower bed =
where r is the radius
Now , substituting the values
Area of flower bed =
Area of flower bed = 28.26 square meters-----------------------------(2)
3)Area of land excluding flower bed
Area of land excluding flower bed = Area of the rectangular land - area of flower beds
Area of land excluding flower bed = 48 - 28.26
Area of land excluding flower bed = 19.74 square meters
4)cost of planting grass in land
Cost of planting grass per square meter = 6
Excluding the flower bed we have 19.74 square meters. to plant grass for this 19. 74 square meters, the cost will be
=
= Rs 118.44
Answer:
The null hypothesis is
The alternate hypothesis is
The test statistic is t = -1.95.
The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the highlighters wrote for less than 14 continuous hours.
Step-by-step explanation:
Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.
At the null hypothesis, we test if the mean is 14 hours, that is:
At the alternate hypothesis, we test if the mean is less than 14 hours, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
14 is tested at the null hypothesis:
This means that
X = 13.6 hours, s = 1.3 hours. Sample of 40:
In addition to the values of X and s given, we have that
Test statistic:
The test statistic is t = -1.95.
P-value:
The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.
Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the highlighters wrote for less than 14 continuous hours.