Answer:
A 0.24 probability that one string is defective
Step-by-step explanation:
The sample probabiity:
If important to notice that this probability is from the sample, it can be extrapolated to the population but may not be the same.
<h3>To find the product of 42.12 and 10^3, move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros</h3>
<em><u>Solution:</u></em>
Given that,
Which means,
Here, the exponent of 10 is positive ( which is 3)
When the exponent is positive, we have to move the decimal point to right
When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10
Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12
Therefore,
Answer:
X + Y + Z = 32
X2 = Y
X3 + 2 = Z
X + X2 + X3 + 2 = 32
Make X alone
There is a 2 so we subtract 2 from both sides
X + X2 + X3 = 30
Add the X's up
X + X2 + X3 = X6
X6 = 30
Divide by 6
30 / 6 = 5
You are left with X=5
The first piece of wood has a length of 5
5 x 2 = 10
The second piece has a value of 10
5 x 3 + 2 = 17
The third piece is 17
Hope this helps. If you have any questions you may ask.
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
ABC is an isosceles triangle with BA = BC.
That makes angles A and C congruent.
ABD is an isosceles triangle with AB = AD.
That makes angles ABD and ADB congruent.
Since m<ABD = 72 deg, then m<ADB = 72 deg.
Angles ADB and CDB are a linear pair which makes them supplementary.
m<ADB + m<BDC = 180 deg
72 deg + m<BDC = 180 deg
m<CDB = 108 deg
In triangle ABD, the sum of the measures of the angles is 180 deg.
m<A + m<ADB + m<ABD = 180 deg
m<A + 72 deg + 72 deg = 180 deg
m<A = 36 deg
m<C = 36 deg
In triangle BCD, the sum of the measures of the angles is 180 deg.
m<CBD + m<C + m<BDC = 180 deg
m<CBD + 36 deg + 108 deg = 180 deg
m<CBD = 36 deg
In triangle CBD, angles C and CBD measure 36 deg making them congruent.
Opposite sides DB and DC are congruent making triangle BCD isosceles.