Answer:
The 2 tens remaining get decomposed into 20 ones in the ones column.
Step-by-step explanation:
The answer to the above question can be explained as under -
We know that, the sum of angles of triangle is 180°.
So, vertex angle plus base angles are equal are equal to 180°.
Let the vertex angle be represented by "v" and base angles be represented by "b".
Thus, v + b + b = 180°
So, v + 2b = 180°
Next, the question says, the vertex angle is 20° less than the sum of base angles.
Thus, 2b - 20° = v
<u>Thus, we can conclude that the correct option is A) v + 2b = 180°, 2b - 20° = v</u>
Answer:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform probability distribution is:

The standard deviation of the uniform distribution is:

The probability that we find a value X lower than x is given by the following formula.

Uniform distribution between 2.93 and 3.1 volts
This means that
. So
Mean:

Standard deviation:

What is the probability that a battery has a voltage less than 2.98?

So the correct answer is:
b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941
Answer:
1) 6 balls
Step-by-step explanation:
x = number of balls Elsa can shoot
x + 6 = number of balls Anna can shoot
18 = number of balls together they can shoot
x + (x + 6) = 18
x + x + 6 = 18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 6
2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.
3)Let x & y be packets of [a] type & [b] type detergent sold
Then 9x +7y =180
Let us say x=7
Then 9*7+7y =180
7y =180–63 = 117
y =117/7=19.2 this will not do as it contains decimal not whole number
Say x=6
Then 9*6 +7y =180
7y=180–54 =126
y =126/7 =18 this is acceptable as it is whole number
Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php
4) 5,6,7 female piglets
5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.
4kg of rice - Php. 360.00
3kg of pork- Php. 390.00
1kg of rice is Php. 90.00
1kg of pork is Php. 130.00