Answer: The probability is 1/190 = 0.005
Step-by-step explanation:
The probability of ordering two specific toppings out of 20 is:
For the first selection he can order 2 of them, peperoni or sausage, so the probability for the first selection is 2/20 = 1/10 (the number of correct options divided by the total number of options)
For the second selection we have only one option, because we assume that the other one was selected previously, here we also had a total of 19 toppings because one already was selected, the probability in this selection is 1/19.
The joint probability is equal to the product of those two probabilities:
P = (1/19)*(1/10) = 1/190 = 0.005
Answer:
Complementary
Step-by-step explanation:
To be complementary, your two angles need to add up to 90 degrees
a right triangle is already 90 degrees so if you cut it through the middle they'd form complementary angles
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
We have to express the ratio 1 : 3.5 in the form p:q where p and q are whole numbers.
Consider the ratio of 1 and 3.5,
1 : 3.5 = 
= 
Reducing the above fraction to its lowest form.
So, we get 
Therefore, the ratio 1 : 3.5 is expressed as 
where 2 and 7 are the whole numbers.
Answer: see image
<u>Step-by-step explanation:</u>
Draw line x = 3. Count how many units each point is away from line x = 3. Plot the new point the same number of units away from line x = 3 but in the opposite direction.
Point G is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.
Point F is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.
Point E is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.
Point H is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.
