Answer:
2d + 4 = 12
Step-by-step explanation:
d = # of daisies
d+4 = # of roses
The total number of flowers is 12, so:
d + d+4 = 12
2d + 4 = 12
We Cannot conclude that triangles DEF and LNM are similar if DF = 8 and LM = 4.
<u>Solution:</u>
Given that for two triangle DEF and LNM, DE = 8 and LM = 4.
To say that two triangles are similar the provided information is not complete.
Two triangles DEF and LNM , will be similar if there corresponding sides are in ratio which means

But we have only information of 
But do not have any information regarding two remaining ratios that are 
Hence cannot conclude that triangles DEF and LNM similar if DF = 8 and LM = 4
Answer:
C. One can be 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66
Step-by-step explanation:
Given that the confidence interval is a term that defines a range of values with the probability to contain a population value that has an actual degree of confidence.
This is represented in a situation where population means falls in between upper and lower intervals.
Hence, in this case, the correct interpretation is option C: One can be 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66
Answer:
A=
Step-by-step explanation:
We are given that John is building a rectangular pen for his sheep.\
We have to complete the given equation
Let w be the width of rectangular pen
According to question
Length of pen=8w+5
We know that
Area of rectangle=
Using the formula
Area of rectangular pen=
Therefore, the area of rectangular pen=A=
Answer:
<u>The value of the annuity in 10 years will be US$ 15,552.90</u>
Step-by-step explanation:
Let's use the ordinary simple annuity formula to calculate the value of the annuity in 10 years, this way:
FV = Future value of an annuity stream
PMT = Dollar amount of each annuity payment = US% 50
r = Interest rate = 3.5% compounded biweekly = 0.035/26
n = Number of periods in which payments will be made = 26 * 10 = 260
FV = PMT * [(1 + r)ⁿ − 1]/r
Now, replacing with the real values, we have:
FV = 50 * [(1 + 0.035/26)²⁶⁰ − 1]/(0.035/26)
FV = 50 * [(1.001346154)²⁶⁰ − 1]/0.001346154
FV = 50 * 0.41873217/0.001346154
FV = 50 * 311.058148
<u>FV = 15,552.90 </u>
<u>We only rounded the last product to the next cent, in all the other cases we used all the decimals for the calculations.</u>