Answer: <em>6 units</em>
Step-by-step explanation:
<em>Area = 1/2 (base1 + base2) X height <-------- Formula for a trapezoid</em>
<em>24 = 1/2 (2 + 6) X h <----- We know that the area of the trapezoid is 24 units </em>
<em>squared and that both of the bases are 2 units and 6 units. </em>
<em>24 = 1/2 (8) X h <------- Add 6 + 2</em>
<em>24 = 4 X h <----- Half of 8 is 4</em>
<em>h = 6 <------ 6 X 4 = 24 , therefore the height is 6 units.</em>
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<em>Hope this helps!</em>
Answer:
a. 1/16 which is 6.2500%
b. 15/16 which is 93.7500%
Step-by-step explanation:
a. For each 'coin toss' the probability of getting tails is 1/2. If you toss the coin 4 times, the probability of getting tails all times is 1/2 * 1/2 * 1/2 * 1/2 = 1/16.
b. This one is a bit trickier.
When flipping four coins, you either could get all four heads or you could get at least one tail. Both events cannot happen at the same time. This means the two events are complementary.
Complementary events occur when there are only two outcomes, for example passing an exam or passing an exam. The complement means the exact opposite of an event.
Complementary probabilities always add to 1.
We saw in part (a) that the probability you get all tails is 6.25% or 1/16.
0.0625 was the probability of getting all four heads, so 0.9375 is the probability of anything else (getting one or more tails).
The decimal 0.9375 converts to the fraction 15/16.
The probability is 93.75%.
Answer: I hope the answer is right! Have a wonderful day
Step-by-step explanation:
4/8 + 3/5 =7/13
4+3=7
8+5=13
7/13 that's the answer! I'm sorry if I'm wrong!
Answer:
y=2x+7
Step-by-step explanation:
When an equation is parallel to another, it shares the same slope.
Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)
This means that our slope is 2 because m represents the slope.
The slope of our parallel line will then also be 2.
<u>We can begin to plug that into point-slope form which is:</u>
y - y1 = m(x - x1)
This is where (x1, y1) is a point the line intersects, and m is the slope.
<u>Plugging in the slope, we'll have:</u>
y - y1 = 2(x - x1)
We also know it intersects the point (-4, -1)
We can plug this into our equation as well.
y - (-1) = m(x - (-4))
y+1=2(x+4)
<u>Now, we can simplify it into slope-intercept form:</u>
y+1=2(x+4)
Distribute
y+1=2x+8
Subtract 1 from both sides
y=2x+8-1
y=2x+7
Answer:
8x + 29 < 17
Step-by-step explanation:
Let the unknown number be x .
According to the question ,
8 times x when added to 29 will give a sum less than 17 .
So , we can write
8x + 29 < 17.
We can also solve it
so we will get
8x < -12
x<-1.5.