Answer:
Step-by-step explanation:
<u>Given the sequence</u>
<u>To find </u>
- Sum of terms from i=5 to i=15
<h3>Solution</h3>
We see the sequence is AP
<u>The required sum is</u>
<u>Using sum of AP formula</u>
<u>Finding the required terms</u>
- i₁ = - 4- 6 = -10
- i₄ = -4 -6*4 = - 28
- i₁₅ = -4 -6*15 = -94
<u>Getting the sum</u>
- S₄ = 1/2*4*(-10 - 28) = -76
- S₁₅ = 1/2*15*(-10 - 94) = -780
- S₅₋₁₅ = S₁₅ - S₄ = -780 - (-76) = - 704
Answer:
it is a are b but it could be c
Answer:
anything below 136.5 or above 155.5
Step-by-step explanation:
the critical value from a Z distribution for the 99% confidence level is 2.576
so we just need to compute
146 + 2.576(34/sqrt(85))
and
146 + 2.576(34/sqrt(85))
Divide both sides by 2.
<span><span><span><span><span>2<span>(<span>|<span>x+5</span>|</span>)</span></span>2</span></span></span>=<span><span><span>162
</span></span></span></span><span><span>|<span>x+5</span>|</span>=8
</span>Solve Absolute Value.
<span><span>|<span>x+5</span>|</span>=8
</span>We know either<span><span>x+5</span>=8</span> or <span><span>x+5</span>=<span>−8
</span></span><span><span>x+5</span>=8 </span>
<span><span><span>x+5</span>−5</span>=<span>8−5</span></span>(Subtract 5 from both sides)
<span>x=3</span><span><span>
</span></span>Answer:<span><span>x=<span><span><span><span>3</span> </span></span></span></span></span>
Answer:
Step-by-step explanation:
First off, this wouldn't make sense for a girl to be older than her mother or her father.
Second, mother is x years old. The girl is 2x years old. The father is x+5 years old. Total sum = 100.
So, we need to solve for x first.
2x + x + x+5 = 100
4x + 5 = 100
4x = 95
4x ÷ 4 = 95 ÷ 4
x = 23.75
Mother is 23 and 3 quarters, turning 24.
Daughter is 23.75 × 2 = 47 1/2 years old.
And the Father is 28 and 3 quarters, turning 29.
