Answer:
3 hours
Step-by-step explanation:
Number of shows : Time taken
= 4 : 2
Today, they will perform 6 shows.
Number of shows : Time taken
= 6 : x
Equate both ratios to find x
4 : 2 = 6 : x
4/2 = 6/x
Cross product
4 * x = 2 * 6
4x = 12
x = 12/4
x = 3 hours
The trainers will spend 3 hours performing shows today
Answer:
b
Step-by-step explanation:
The y- intercept is the point on the y- axis where the graph crosses.
On the y- axis the x- coordinate is always zero.
From the table when x = 0 , y = 3, thus
(0, 3 ) is the y- intercept → b
The equation, in slope-intercept form, of the line that is perpendicular to the line y- 4 = -(x-6) and passes through the point (-2,-2) is y = x.
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<h3>How to represent equation in slope intercept form?</h3>
The equation in slope intercept form is represented as follows;
y = mx + b
where
Therefore,
perpendicular lines follows the rule as follows;
m₁m₂ = -1
Therefore,
y - 4 = -(x - 6)
y - 4 = -x + 6
y = -x + 6 + 4
y = -x + 10
Therefore,
-1m₂ = -1
m₂ = 1
Hence, the line passes through (-2, -2).
Therefore,
-2 = 1(-2) + b
b = -2 + 2
b = 0
Therefore, the equation is as follows;
y = x
learn more on equation here: brainly.com/question/18611223
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Answer:
0.938
Step-by-step explanation:
From the question :
p = 0.14
Number of children, n = 7
P(x ≤ 2) = P(2) + P(1) + P(0)
Using binomial probability :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
We could also use the binomial probability calculator :
P(x ≤ 2) = 0.3479 + 0.3965 + 0.1936
P(x ≤ 2) = 0.938
