Answer:
y = 14.5
Step-by-step explanation:
given that y varies directly as x
mathematically,
y ∝ x
y = kx .............................................. where k is the constant of proportionality.
k = y /x
given that
y = 79
x = 49
k = 79/49
k = 1.61
to find y when x = 9
from
y = kx
y = 1.61 × 9
y = 14.5
therefore the value of y when x = 9 in ths variation is evaluated to be equals to 14.5
Answer:the term of the loan is approximately 4 months
Step-by-step explanation:
The term of the loan means the period for which the loan was given.
We would apply the formula for simple interest which is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
From the information given
P = 17500
R = 6.5%
I = total amount paid - principal
I = 17,873.97 - 17,500.00 = 373.97
Therefore
373.97 = (17500 × 6.5 × T)/100
373.97 = 1137.5T
T = 373.97/1137.5
T = 0.32 years
Converting to months, it becomes
0.32 × 12 = 3.84
Approximately 4 months.
<h2>x > 9</h2>
Step-by-step explanation:
<h3><em>-</em><em>5</em><em> </em><em>(</em><em>x</em><em>-</em><em>1</em><em>)</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>0</em><em> </em><em>-</em><em>5</em></h3><h3><em>-</em><em>5</em><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>5</em></h3><h3><em>x</em><em> </em><em>></em><em> </em><em>-</em><em>4</em><em>5</em><em> </em><em>÷</em><em> </em><em>-</em><em>5</em></h3><h3><em>x</em><em> </em><em>></em><em> </em><em>9</em></h3>
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Answer:
61
Step-by-step explanation:
straight line = 180 degree
to find the measure of angle QPR,
subtract 119 from 180
=> 180-119
=> 61
angle QPR = 61 degree
This is a binomial probability situation, since a dog either is adopted or is not adopted. The chances of a dog's being adopted in 0.20. Here we're speaking of 9 visits. Thus, n=9, p=0.20.
One way of doing this problem is to calculate the probability that ONE dog will be adopted, and then that that TWO dogs will be adopted, and so on, up to NINE dogs. Add together these nine probabilities to get your answer.
But a better (faster) approach would be to calculate the probability that ZERO dogs will be adopted, and then to subtract this from 1.000.
Using my TI-84Plus calculator, I figured that P(0 dogs will be adopted) is binompdf(9,0.20,0), or 0.134. Subtracting this from 1.000, we get 0.866 (answer to this problem).