The probability of rolling a 5 and rolling an odd number on a die is independent; rolling a 5 does not influence the probability of rolling an odd number the next time.
King or Jack is mutually exclusive; they cannot both happen at the same time.
Club or Queen is not mutually exclusive; they can happen at the same time.
King or Ace is mutually exclusive; they cannot both happen at the same time.
Answer:
The answer to your question is the first graph.
Step-by-step explanation:
It seems that the first graph is correct because the height of the bars is equal to the grade get by the students.
The second graph is incorrect because the height of the bars is different from the grade the students got. Only the bar of Levi is correct.
The third graph is incorrect, just observe the height of John's bar to determine that the graph is wrong.
Also, the last graph is incorrect, in this graph, all the bars are different from the grade the students got.
Step-by-step explanation:
Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"
Answer:
401.22
Step-by-step explanation:
It will help you:)
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Let's solve your equation step-by-step.
Step 1: Step 1: Simplify both sides of the equation.<span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span>7k</span>−<span>(<span><span>−6</span>−<span>2k</span></span>)</span></span></span><span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span>7k</span>+<span><span>−1</span><span>(<span><span>−6</span>−<span>2k</span></span>)</span></span></span></span><span>(Distribute the Negative Sign)
</span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span><span>7k</span>+<span><span>(<span>−1</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>2k</span></span>)
</span></span></span><span><span>9<span>(<span>k−5</span>)</span></span>−12</span>=<span><span><span>7k</span>+6</span>+<span>2<span>k
</span></span></span><span><span><span><span><span><span>(9)</span><span>(k)</span></span>+<span><span>(9)</span><span>(<span>−5</span>)</span></span></span>+</span>−12</span>=<span><span><span>7k</span>+6</span>+<span>2k</span></span></span>(Distribute)
<span><span><span><span><span><span>9k</span>+</span>−45</span>+</span>−12</span>=<span><span><span>7k</span>+6</span>+<span>2k</span></span></span><span><span><span>(<span>9k</span>)</span>+<span>(<span><span>−45</span>+<span>−12</span></span>)</span></span>=<span><span>(<span><span>7k</span>+<span>2k</span></span>)</span>+<span>(6)</span></span></span>(Combine Like Terms)
<span><span><span>9k</span>+<span>−57</span></span>=<span><span>9k</span>+6</span></span><span><span><span>9k</span>−57</span>=<span><span>9k</span>+6
</span></span>Step 2: Subtract 9k from both sides.
<span><span><span><span>9k</span>−57</span>−<span>9k</span></span>=<span><span><span>9k</span>+6</span>−<span>9k</span></span></span><span><span>−57</span>=6</span>Step 3: Add 57 to both sides.<span><span><span>−57</span>+57</span>=<span>6+57</span></span>=63
