Answer:
Step-by-step explanation:
Probability of of winning next shot if he scores= 0.5
Probability of missing next shot if he misses = 1/6
a) Probability of scoring 2 shots later if he missed = (1-1/6)^2
=(5/6)^2
=25/36
b) % of successful shots= (1/2+5/6×(1/100))%
=4/3×1/100
=0.013%
A given<u> shape</u> that is <em>bounded</em> by three <u>sides</u> and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of <u>PB</u> is 8.0 units.
A given <em>shape</em> that is <u>bounded</u> by three<em> sides</em> and has got three <em>internal angles</em> is referred to as a <u>triangl</u>e. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the<em> internal angles</em> of any <u>triangle</u> is
.
In the given question, point<u> P</u> is <u>center</u> of the given <u>triangle</u> such that <APB = <APC = <BPC =
. Such that <u>line</u> PB <em>bisects</em> <ABC into two <u>equal</u> measures of
.
Thus;
<ABP = ![30^{o}](https://tex.z-dn.net/?f=30%5E%7Bo%7D)
Thus,
<ABP + <APB + <BAP = ![180^{o}](https://tex.z-dn.net/?f=180%5E%7Bo%7D)
30 + 120 + <BAP = ![180^{o}](https://tex.z-dn.net/?f=180%5E%7Bo%7D)
<BAP =
- 150
<BAP = ![30^{o}](https://tex.z-dn.net/?f=30%5E%7Bo%7D)
Apply the <em>Sine rule</em> to determine the value of PB, such that;
= ![\frac{b}{SinB}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7BSinB%7D)
= ![\frac{PB}{Sin 30}](https://tex.z-dn.net/?f=%5Cfrac%7BPB%7D%7BSin%2030%7D)
BP = ![\frac{8*Sin 30}{Sin 30}](https://tex.z-dn.net/?f=%5Cfrac%7B8%2ASin%2030%7D%7BSin%2030%7D)
= 8
BP = 8.0
Therefore, the value of <u>PB</u> = 8 units.
For more clarifications on Sine rule, visit: brainly.com/question/27174058
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What do I need to find?
Your answer is correct.
What information do I need to use?
100% = 240 miles, she has already driven 15% of 240, so she has driven x miles.
How will I use the information?
Set up a proportion. If she has already driven 15% out of 100% of the distance, then you should write
for the first fraction. This is proportional to
. This means that
. Wait, but this is confusing. How on Earth do we solve it? Let's take a closer look. If
is supposed to equal 15/100, then this means that x/240 divided by 15/100 should give us the answer. So, even though it looks complicated, all you have to do is cross multiply like this:
![\frac{15}{100} = \frac{x}{240} --> 240 * 15 = 100x --> 3600 = 100x](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B100%7D%20%3D%20%5Cfrac%7Bx%7D%7B240%7D%20--%3E%20240%20%2A%2015%20%3D%20100x%20--%3E%203600%20%3D%20100x)
Now isolate x:
![\frac{3600}{100} = \frac{100x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B3600%7D%7B100%7D%20%3D%20%5Cfrac%7B100x%7D%7B100%7D)
So x = 36, which means she has already driven 36 out of 240 miles. Lucia still has to drive 204 miles to reach her destination.
1.) In this case, 56 = 100% and 25% of the sandwiches were tuna. This means that 75% of the sandwiches were not. If
and you use the same method above, x is equal to 14. If 14 is 25% then that means the other 75% = 14 * 3. So 42 sandwiches were not tuna.
2.) ![\frac{60}{100} = \frac{x}{450}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B100%7D%20%3D%20%5Cfrac%7Bx%7D%7B450%7D)
--> ![27000 = 100x](https://tex.z-dn.net/?f=27000%20%3D%20100x)
---> ![\frac{27000}{100} = \frac{100x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B27000%7D%7B100%7D%20%3D%20%5Cfrac%7B100x%7D%7B100%7D)
He still has $270 left to pay.
Answer:
can we see the full graph?