Answer:
HI ≈ 12.22
Step-by-step explanation:
tan I = GH / HI
tan 42° = 11 / HI = 0.90
HI = 11/0.90 = 12.22
Step-by-step explanation:
y = -5x - 1 should be your function.
Check. Plug in the x to get the desired y
9 = -5(-2) - 1
9 = 10 - 1
9 = 9 (correct)
4 = -5(-1) - 1
4 = 5 - 1
4 = 4 (correct)
-1 = -5(0) - 1
-1 = 0 - 1
-1 = -1 (correct)
etc.
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Answer:
200g of sugar, 600g of flour, 400g of butter
Step-by-step explanation:
50g sugar = 15 biscuits
3 x 50g = flour --) 150g = flour
2 x 50g = butter --) 100g = butter
60/15 = 4; 4 times as much
4 x 50g = 200g of sugar
4 x 150g = 600g of flour
4 x 100g = 400g of butter
Answer:
The probability of select randomly a red or a blue marble is
Step-by-step explanation:
The probability of an event is the ratio of the number of ways it can happen, to the total number of possible cases.
Select randomly a red or a blue marble are mutually exclusive events because they cannot occur at the same time. When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event.
We know from the information given that
- There are 46 red marbles, 59 white marbles and 49 blue marbles
We can use this information to calculate the probability of select randomly a red marble and also the probability to select randomly a blue marble
Now we can calculate the probability that we select a red or a blue marble
1) 26 different outcomes are in the sample space.
2) 1 / 26 is the probability that the computer produces the first letter of your first name.
<u>Step-by-step explanation:</u>
<u>1) You have to find out the different outcomes in the sample space :</u>
- A "Sample space" is defined as the set of all the possible outcomes of an event.
- Here, the given event is randomly selecting a letter from the alphabets.
Therefore, the sample space must contain all the possible alphabets that can be chosen randomly.
The sample space is the set of all the 26 alphabets in English language.
⇒ Sample space = {A,B,C,D...........,Y,Z}
⇒ 26 different outcomes.
<u>2) The probability the computer produces the first letter of your first name :</u>
Here, the required outcome is getting the first letter of your first name.
Probability = No. of required outcomes / total no. of outcomes.
For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.
∴ Probability = 1 / 26
Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always 1 / 26.