Answer:

Step-by-step explanation:





I used the following rules:


By applying Cathetus theorem, the value of x is equal to 10 units.
<h3>How to determine the value of x?</h3>
In order to determine the value of x, we would apply Cathetus theorem (leg rule), which states that each leg of a right-angled triangle is the geometric mean that's directly proportional between the hypotenuse and the part of the hypotenuse that's directly below the leg.
In this context, we have:
x² = m × a
x² = (21 + 4) × 4
x² = 25 × 4
x² = 100
x = √100
x = 10 units.
Read more on Cathetus theorem here: brainly.com/question/11357448
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Answer:
Step-by-step explanation:
1) Distance covered by motorcycle = x
y = 50 + (x -2)*10
2)Distance traveled = 5 km
y = 50 + ( 5-2) *10
= 50 + 3*10
= 50 + 30
= 80
Seth will be paid Php 80
3) y = 120
50 + (x - 2)* 10 = y
50 + (x -2) *10 = 120
50 + 10x - 2*10 = 120
50 + 10x - 20 = 120
30 + 10x = 120
10x = 120 - 30
10x = 90
x = 90/10
x = 9
A passenger can travel 9 km.
4)y = (x - 2)*10
y = 10x - 20
20 + y = 10x
20 = 10x - y
10x - y = 20 {Ax + By = C form}
Answer:
the answer is 196
Step-by-step explanation:
4x+4=60
4x+4-4=60-4
4x=56
56/4=14
14×14=196
Answer:
(B) 0.2843
Step-by-step explanation:
Let d be the difference in proportions from Country X and Country Y who were first married between the ages of 18 and 32.
Then hypotheses are
: d=0.15
: d<0.15
Test statistic can be found using the equation
where
- p1 is the sample proportion of Country X (0.36)
- p2 is the sample proportion of Country Y (0.26)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of adults from Country X (60)
- n2 is the sample size of adults from Country Y (50)
Then
≈ 0.5646
p-value of test statistic is ≈ 0.2843
p-value states the probability that the difference in proportions between a random sample of 60 adults from Country X and a random sample of 50 adults from Country Y who were first married between the ages of 18 and 32 is at least 0.15