Answer:
The answer is option A.
∆BDC is a right angled triangle
Angles in a triangle add up to 180°
That's
z + 35 + 90 = 180°
z = 180 - 35 - 90
z = 55°
Alternate angles are equal
Angle DBC = Angle BDA
That's
35 = 7y
Divide both sides by 7
y = 5
y = 5 z = 55
Hope this helps you
Answer:
70x + 5y = 805
Step-by-step explanation:
Textbooks = X
Notebooks = Y
Answer:
y=3/4x-2
a=(8/3,0)
b=(0,-2)
m=3/4
Step-by-step explanation:
STEP 1
3x-4y =8 substract 3x from both sides
-4y=-3x+8 divide -4 to everything
y=3/4x-2
STEP 2
substitute 0 for y and solve for a (x-intercept)
Using probability concepts, it is found that:
a)
probability of drawing a card below a 6.
b)
odds of drawing a card below a 6.
c) We should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
Item a:
- In a standard deck, there are 52 cards.
- There are 4 types of cards, each numbered 1 to 13. Thus,
are less than 6.
Then:
![p = \frac{20}{52} = \frac{4}{13}](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B20%7D%7B52%7D%20%3D%20%5Cfrac%7B4%7D%7B13%7D)
probability of drawing a card below a 6.
Item b:
- Converting from probability to odd, it is:
![\frac{4}{13 - 4} = \frac{4}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B13%20-%204%7D%20%3D%20%5Cfrac%7B4%7D%7B9%7D)
odds of drawing a card below a 6.
Item c:
- The law of large numbers states that with a <u>large number of trials, the percentage of each outcome is close to it's theoretical probability.</u>
- Thus, we should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.
A similar problem is given at brainly.com/question/24233657
Answer:
Cici drank 1.03571429 cups of water a day.
Step-by-step explanation:
She drank 14.5 cups of water in two weeks, so I divided the two weeks by 2. In total, she drank 7.25 cups of water each week. Since we know that 7.25 cups of water is how much she drank within one week, we can then divide that number by 7 days and it gives us the quotient of 1.03571429. This is approximately how much water she drank.
If you were to round it by the nearest one or tenth the answer would be 1.0/1.