Answer:
The probability that the pair consists of a female junior and a male sophomore is 0.096
Step-by-step explanation:
No of male juniors=4
No of female juniors=10-4=6
No of female sophomores=5
No of male sophomores=13-5=8
As per question,
Probability that the pair consists of a female junior and
a male sophomore =
=0.096
Therefore, the probability that the pair consists of a female junior and a male sophomore is 0.096
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
Answer:
14•4°
step by step explanation:
ratio=1:2:3=6
angles in degree=150°
6/150°×360°(simplify)
6/5°×12°
=72°/5°
=14•4°
The largest angle=14•4°
Thanks hope it helps
Hello there, and thank you for posting your question here on brainly.
Something I noticed right away is that 4/8 can be simplified.
4/8 ===> 2/4
So now we have 2/4 - 1/4
Just subtract the numerators only.
2/4 - 1/4 = 1/4
1/4 cannot be simplified, so 1/4 is your final answer.
Hope this helped!! ☺♥