Price of one citron = 5 units
Price of one fragrant = 5/7 units = 0.71 units
Further explanation:
Let x be the price of one citron and
y be the price of one fragrant
Then according to given statement
10x+7y = 55 Eqn 1
7x+10y = 64 Eqn 2
Multiplying equation 1 by 7
This will be equation 3.
Multiplying equation 2 by 10
This will be equation 4.
Subtracting equation 3 from equation 4
So,
Price of one citron = 5 units
Price of one fragrant = 5/7 units = 0.71 units
Keywords: Linear Equations, Solving system of linear equations
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The probability that they will pick neither the chocolate chip nor the walnut toppings is 0.3
We have
the total of all probabilities is 1.00, or 100%.
In the Venn diagram, we have the probabilities 0.2, 0.4 and 0.1; these sum to
0.2+0.4+0.1 = 0.6+0.1 = 0.7.
This leaves us 1.00-0.7 = 0.3 for the remaining probability of no toppings.
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As the y-intercept increases, the graph of the line shifts up. B. as the y-intercept decreases, the graph of the line shifts left. ... As the y-intercept decreases, the graph of the line shifts down.
I hope this works for you!
Answer:
Step-by-step explanation:
It is useful to remember the ratios between the side lengths of these special triangles.
30°-60°-90° ⇒ 1 : √3 : 2
45°-45°-90° ⇒ 1 : 1 : √2
__
h is the shortest side, and the given length is the intermediate side. This means ...
h/1 = 2/√3
h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator
__
b is the longest side, and the given length is the short side. This means ...
b/√2 = 3/1
b = 3√2 . . . . . multiply by √2
Answer:
1. 0.9544
2. 0.0228
3. 0.0228
Step-by-step explanation:
The computation is shown below;
As we know that
At Normal distribution
As per the question, the data provided is as follows
Mean = 24.4 minutes
Standard deviation = 6.5 minutes
Based on the above information
P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)
= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)
= P(Z < 2) - P(Z < -2)
= 0.9772 - 0.0228
= 0.9544
2. P(X < 11.4) = 0.0228
3. P(X ≥ 37.4) = 1 - P(X < 37.4)
= 1 - 0.9772
= 0.0228
