It would take 8 weeks for them to have the same amount in the bank.
$148 +$8 every week: $260 -$6 every week:
Week 1: $156 $254
Week 2: $165 $248
Week 4: $180 $236
Week 6: $196 $224
Week 8: $212 $212
B. (x + 2)(x + 12)
C. (x + 3)(x + 8)
D. (x + 1)(x + 11)
Factor 2m2 + 27m + 70
A. (2m + 7)(m + 10)
B. (m + 10)(2m + 7)
C. (2m + 3)(m + 20)
D. (2m + 7)(m – 10)
Factor g2 – 64
A. (g – 1)(g + 64)
B. (g + 8)(g – 8)
C. (g – 8)(g – 8)
D. (g + 8)(g + 8)
Factor 49t2 – 9
A. (7t + 3)(7t + 3)
B. (7t + 3)(–7t – 3)
C. (7t + 3)(7t – 3)
D. 7t – 3
The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expression for the width of the field?
A. t – 9
B. t – 5
197° until he is south-west of his starting point.
How far is he then from his starting point? with workings
Answer:
Step-by-step explanation:
Let the starting point be B and the stopping be C as shown in the diagram below.
therefore, the angle at A will be (197-90)degree = 107degree
the angle at B is 45degree, since it is directly south west of C.
therefore the angle at C will be A+B+C=180 degree(sum angle of a triangle)
107+45+C=180
therefore, C=180-107-45=28degree
therefore, using sine rule gives;
sinA/a =sinC/c
sin107/a=sin28/4
0.9563/a=0.4695/4
0.9563/a=0.11736
therefore, a =0.9563/0.11736=8.148=8.1km(approx.)
Answer:
52 left-handed players
Step-by-step explanation:
The answer is asking, how many players is 80% of 65.
"of" = multiply
80% = 0.8 (to convert percent to decimal, move the decimal point two times to the left)
0.8 x 65 = 52 left-handed players
of 70 inches? Is this usual or unusual?
A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusual
C. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual
The corresponding z-score for a height of 70 inches is 2.56, which is considered unusual based on the standard threshold.
Use the concept of statistics defined as:
Statistics is a discipline of mathematics that deals with all aspects of data. Statistical knowledge aids in the selection of the appropriate technique of data collection and the use of those samples in the appropriate analysis process in order to effectively create the results. In short, statistics is an important procedure that assists in making data-driven decisions.
Given that,
The mean height of women: 63.6 inches
The standard deviation of women's heights: 2.5 inches
Height in question: 70 inches
Z-score formula: Z = (X - μ) / σ
The Z-score calculation for a height of 70 inches: Z = 2.56
Z-score interpretation: Unusual (greater than 2)
To find the z-score,
Use the formula:
Z = (X - μ) / σ
Where,
X is the value (in this case, 70 inches),
μ is the mean (63.6 inches),
σ is the standarddeviation (2.5 inches).
Calculating the z-score for a height of 70 inches:
Z = (70 - 63.6) / 2.5
Z = 6.4 / 2.5
Z = 2.56
So, the z-score corresponding to a woman with a height of 70 inches is 2.56.
Now, to determine if this z-score is usual or unusual,
Use the standard z-score table.
Usually, z-scores greater than 2 or less than -2 are considered unusual.
In this case,
The z-score is 2.56, which is greater than 2.
Hence,
The correct answer is B. The z-score is 2.56 which is unusual.
To learn more about statistics visit:
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Answer:
A
Step-by-step explanation:
Hopefully this helps