Answer:
a) The probability of falling in the warranty period is 11.6%.
b) The warranty period need to be 19771 km to ensure that no more than 5 per cent of tires fail in the warranty period.
Step-by-step explanation:
a) To fall within the warranty period, the tire has to fail before the 20,000 km.
To calculate the probability, we first calculate the z-value:
Then, the probability of falling in the warranty period is:
b) To calculate this we have to go on from a P(z<z₁)=0.05. This happens for z=-1.645.
This corresponds to a value X of:
The warranty period need to be 19771 km to ensure that no more than 5 per cent of tires fail in the warranty period.
Answer:
Step-by-step explanation:
Given
Quadrilateral QRST
Q (1, 2), R (3, 4), S (5, 6), and T (2, 7)
Dlated Factor = 2
Required
Coordinates of quadrilateral Q′R′S′T′
<em>Provided that a quadrilateral is dilated with the center of dilation at the origin; the new dilated shape is simply the multiplication of the dilation factor by the coordinates of the original shape;</em>
<em />
In other words,
Q'R'S'T' = Dilation factor * QRST
When Q = (1,2)
Q' = 2 * (1,2)
Q' = (2,4)
When R = (3,4)
R' = 2 * (3,4)
R' = (6,8)
When S = (5,6)
S' = 2* (5,6)
S' = (10,12)
When T= (2,7)
T' = 2 * (2,7)
T' = (4,14)
Hence, the coordinates of Q'R'S'T' is
Q' = (2,4); R' = (6,8); S' = (10,12); T' = (4,14)
2l + 2w = 16
2(l+ w) = 16 Divide both sides by 2
l + w = 16/2
l + w = 8
So for example the length l could be 5 and the width could be 3.
Length could be 5.
Answer:
You click on the crown button near the thanks/heart button
Step-by-step explanation:
For this case we have the following multiplication:
We can rewrite this multiplication in the following way:
From here, we apply the distributive property.
We have then:
Therefore, Jack's strategy is:
Write the number in an expanded form and then apply the distributive property.
Answer:
Jack's strategy is:
Write the number in an expanded form and then apply the distributive property.
