Answer:
48%
Step-by-step explanation:
12 is 48% of 25.
Answer:
P(X>250) = 0.7357
Step-by-step explanation:
From the question we can gather the data:
μ = 5 days
σ = 4 days
n = 100
It will take more than 250 days to train the 100 contestants so,
time to train one person = 250/100 = 2.5 days.
x = 2.5 days
We will use the normal distribution formula to find the z-score and then use this z-value to find the probability from the normal distribution table.
Z = (x - μ)/(σ)
Using the values mentioned above,
Z = (2.5-5)/(4)
= -0.625
Z = -0.63
So, using the normal distribution probability table we get the following probability at z = -0.63:
<u>P = 0.2643</u>
This is the probability that it will take less than 250 days to train all the contestants but we need the probability that it will take more than 250 days. So, using the total probability theorem:
P(X>250) = 1 - P(X<250)
= 1 - 0.2643
P(X>250) = 0.7357
<span><span>v⃗ </span>+<span>w⃗ </span>=<span>z⃗ </span></span> Now, you were given some component vector that relates to <span>v⃗ </span> so <span><span>k1</span>⟨3,2⟩=<span>v⃗ </span></span>.
And from <span>⟨3,2⟩</span> and 90 degrees you know <span><span>w⃗ </span>=<span>k2</span>⟨−2,3⟩</span> OR <span><span>w⃗ </span>=<span>k2</span>⟨2,−3⟩</span>. And you can find <span>z⃗ </span> by looking a the math of the points... from <span>(−3,−3)</span> to <span>(−2,2)</span> is over 1 and up 5 so <span><span>z⃗ </span>=⟨1,5⟩</span><span>.
</span><span>Start and end are points, so (-3, -3) and (-2, 2).
</span>
<span><span>v⃗ </span>+<span>w⃗ </span>=<span>z⃗ </span></span>
<span><span>v⃗ </span>=<span>k1</span>⟨3,2⟩</span>
<span><span>w⃗ </span>=<span>k2</span>⟨−2,3⟩</span>
<span><span>z⃗ </span>=⟨1,5⟩</span>
<span><span>k1</span>⟨3,2⟩+<span>k2</span>⟨−2,3⟩=⟨1,5⟩</span><span>
</span>
Answer:
40%
Step-by-step explanation:
First, we must find out how many perfect squares are between 1 and 10.
1, 2, 4, 9,
Now, we put that quantity over 10.
4 2
-- = --
10 5
