We could use Algebra for this question but it’s quite simile so won’t need it. If Amanda is 25, when we add on 5 years she’ll be 30. Now it says when she’s 30, she will be twice as old as Simone. Implying that Simone will be half of Amanda’s age. In this case 30/2 = 15. So Simone must be 15.
Answer:
The result will be smaller than 2.6s, 16% of the time.
Step-by-step explanation:
This is a normal distribution problem
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - xbar)/σ
x = the random value = 2.6 s
xbar = mean = the average = 3.4 s
σ = standard deviation = 0.8 s
z = (2.6 - 3.4)/0.8 = - 1
P(x < 2.6) = P(z < - 1) = 1 - P(z ≥ - 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159 = 16%
Answer:
C
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
so, we know in our case
b(b+12) = 189 cm²
b² + 12b - 189 = 0
let's try to solve this by completing the square.
that means we try to find the expression
(b + k)² + c
that is equal to
b² + 12b - 189
(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189
so,
2k = 12
k = 6
and then
k² + c = -189
6² + c = -189
36 + c = -189
c = -225
(b + 6)² - 225 = 0
(b + 6)² = 225
b + 6 = 15
b = 9
so, the baseline b = 9 cm.
the height b+12 = 9+12 = 21 cm.
Answer:
<h2>149 times.</h2>
Step-by-step explanation:
Let n be the number we are looking for.
The we have to solve this equation:
1999 - 7n = 1701 - 5n
⇔ 1999 - 1701 = 7n - 5n
⇔ 298 = 2 n
⇔ n = 298/2
⇔ n = 149
<u><em>Verification</em></u> :
1 999 - 7×149 = 956
1 701 - 5×149 = 956
