Answer:
a7 = 36
Step-by-step explanation:
Here, we are to use the recursive formula to calculate the 7th term( we add the preceding term to 4 so as to get the succeeding term)
a1 = 12
using the recursive formula given in the question
a2 = 12 + 4 = 16
a3 = 16 + 4 = 20
a4 = 20 + 4 = 24
a5 = 24 + 4 = 28
a6 = 28 + 4 = 32
a7 = 32 + 4 = 36
You would write your 2 ordered pairs based on the year and the amount of yogurt sold in that year.
The x-value (your first number in the ordered pair) the year and the y-value (the 2nd number in the ordered pair) the amount of yogurt.
(2002, 2133) and (2007, 3478) would be your 2 ordered pairs.
Answer:
x = 3.76 ft
Step-by-step explanation:
To find the missing side, "x", solve using proportions.
In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the <u>scale factor</u>, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).
Therefore, if you divided the pairs of corresponding sides, they would be equal.
From the diagram, you can tell that the following sides correspond:
CB ~ GF
AB ~ EF
<u>Use the proportion</u>
Substitute values from diagram
Multiply both sides by 6 ft
"x" is isolated. Multiply fraction by combining into numerator
Solved numerator. Divide for decimal answer.
The value of 'x' is 3.76 ft.
<span>Simplifying
6(x + -1) = 9(x + 2)
Reorder the terms:
6(-1 + x) = 9(x + 2)
(-1 * 6 + x * 6) = 9(x + 2)
(-6 + 6x) = 9(x + 2)
Reorder the terms:
-6 + 6x = 9(2 + x)
-6 + 6x = (2 * 9 + x * 9)
-6 + 6x = (18 + 9x)
Solving
-6 + 6x = 18 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
-6 + 6x + -9x = 18 + 9x + -9x
Combine like terms: 6x + -9x = -3x
-6 + -3x = 18 + 9x + -9x
Combine like terms: 9x + -9x = 0
-6 + -3x = 18 + 0
-6 + -3x = 18
Add '6' to each side of the equation.
-6 + 6 + -3x = 18 + 6
Combine like terms: -6 + 6 = 0
0 + -3x = 18 + 6
-3x = 18 + 6
Combine like terms: 18 + 6 = 24
-3x = 24
Divide each side by '-3'.
x = -8
Simplifying
x = -8</span>
Answer:
The probability is 0.9938
Step-by-step explanation:
In this question, we are asked to calculate the probability that the mean blood pressure readings of a group of people is less than a certain reading.
To calculate this, we use the z score.
Mathematically;
z = (mean - value)/(standard deviation/√N)
From the question, we can identify that the mean is 125, the value is 123 , the standard deviation is 9.6 and N ( total population is 144)
Let’s plug these values;
z = (125-123)/(9.6/√144) = 2.5
Now we proceed to calculate the probability with a s score less than 2.5 using statistical tables
P(z<2.5) = 0.9938
