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2 years ago

The tree diagram represents an experiment consisting two trials

Mathematics

2 answers:

pashok25 [27]2 years ago

7 0

Answer:

0.35

Step-by-step explanation:

To find the probability of a sequence of events, multiply along the branches representing those events.

Therefore, P(B and D) = 0.5 x 0.7 = 0.35

** refer to the attached diagram **

zavuch27 [327]2 years ago

6 0

Answer:

0.35

Explanation:

P ( B and D )

0.5 * 0.7

0.35

<u>Follow the branch B and then branch D</u>

multiply both the selected probabilities to calculate total probability.

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What theorem can be used to prove that the two triangles are congruent?

hammer [34]

Pythagorean theorem a^2+b^2=c^2

6 0

3 years ago

A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

3 years ago

Sunset, inc., has a book value of equity of $14,865. long-term debt is $8,675. net working capital, other than cash, is $2,315.

juin [17]

Balance sheet equation states that:

Assets, A = Liabilities, L + Equity, E => A=L+E

In the current case,
L = Long term debt + Current liabilities = $8,675+$1,865 = $10,540
E = $14,865

Therefore,
A = 14,865 +10,540 = $25,405

Now,
Current assets (excluding cash) = current liabilities+Net working capital, other than cash = $1,865+$2,315 = $4,180

Additionally,
A = Fixed assets+Current assets (excluding cash) + Cash

Therefore,
Cash = 25,405-20,660-4,180 = $565

8 0

3 years ago

I need help, please and thank you.

Arturiano [62]

Answer:

Step-by-step explanation:

/lkEVDBUI;KJ/ LRVNIACS'J

doing this for the points hahahahaha

5 0

3 years ago

A dog’s weight dropped to 62 kg after its weight decreased by 7%. What was the dog’s original weight?

Alinara [238K]

Answer:

original weight= mass/weight

62kg/7

Step-by-step explanation:

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5 0

2 years ago