Answer:
Yes, d = 7, 32, 39, 46
Step-by-step explanation:
You can see each time it goes up by 7, meaning it is arithmetic.
The sequence would be: 4, 11, 18, 25, 32, 39, 46
Answer:
Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Step-by-step explanation:
Given that Juan invested $ 19000 in two mutual funds, and Fund A earned 7% profit during the first year, while Fund B earned 3% interest, if he received a total of $ 1042 profit, to determine how much she had invested in each mutual fund the following calculation must be performed:
19000 x 0.07 + 0 x 0.03 = 1330
15000 x 0.07 + 4000 x 0.03 = 1170
11000 x 0.07 + 8000 x 0.03 = 1010
11500 x 0.07 + 7500 x 0.03 = 1030
11800 x 0.07 + 7200 x 0.03 = 1042
Therefore, Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.
Answer:
Length = 3 cm
Width = 1 cm
Step-by-step explanation:
Let the length of rectangle be l and width of rectangle be w.
According to problem,
l = 3w {Length of rectangle is equal to triple the width}
And Perimeter,P = 8 cm
Since, P = 2 ( l + w )
or 8 = 2( l + w)
Plug l =3w in the above perimeter equation.
We get:
8 = 2( 3w + w)
8 = 2(4w)
8 = 8w
or w = 1 cm
Then length ,l = 3w =3 * 1 = 3 cm
Hence length of rectangle is 3cm and width of rectangle is 1cm.
Answer:
The roots (zeros) are the
x values where the graph intersects the x-axis. To find the roots (zeros), replace and with 0
and solve for
x.
Exact Form:
x=−2±√52
Decimal Form:
x=0.11803398
…,−2.11803398
…
Step-by-step explanation:
Answer:
The measure of dispersion which is likely to vary most between your first and second samples is the range.
Step-by-step explanation:
The range and standard deviation of a data are measures of dispersion, i.e. they measure the degree to which the data is dispersed.
The formula to compute the range is:

The formula to compute the sample standard deviation is:

The sample size is: <em>n</em> = 50.
- As the sample size is large (n = 50 > 30) the sample standard deviation (s) can be used to approximate the population standard deviation (σ). Thus, whatever the sample values be both the standard deviations can be used to approximate the population standard deviation. Hence, it can be said that both the sample standard deviations are approximately equal.
- Whereas the range of the two samples are very likely to vary since it is based on the minimum and maximum value of the data. For both the samples the minimum and maximum value may be differ. Thus providing different range values.
Thus, the measure of dispersion which is likely to vary most between your first and second samples is the range.