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Darina [25.2K]
2 years ago
7

Find the GCF (greatest common factor) of 8 and 7.

Mathematics
1 answer:
FrozenT [24]2 years ago
4 0

Answer: Its 1

Step-by-step explanation:

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What is 123 times 35?
Elanso [62]

Answer:

4305

Step-by-step explanation:

  123

<u>×   35</u>

4305

8 0
2 years ago
Cecilia correctly solved this inequality. 3x &gt; 102 Which graph matches the inequality?​
Elza [17]

Answer:

its D

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
An engineer wants to know if the average amount of energy used in his factory per day has changed since last year. The factory u
m_a_m_a [10]

Answer:

<em> The calculated value Z = 1.8823 <1.96 at 0.05 level of significance</em>

<em> The average amount of energy used in his factory per day has changed since last year.          </em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that mean of the Population = 2000 (MWH)

Given that size of the sample 'n' = 400

Given that mean of sample x⁻ = 2040 MWH

Given that the standard deviation = 425 MWH per day

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀: μ = 2000 (MWH)</em></u>

<u><em>Alternative Hypothesis:H₁: μ≠ 2000( MWH)</em></u>

<em>Test statistic</em>

<em>                  </em>Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }<em></em>

<em>                 </em>Z = \frac{2040-2000}{\frac{425}{\sqrt{400} } }<em></em>

<em>                Z =  1.8823</em>

<em>The calculated value Z = 1.8823 <1.96 at 0.05 level of significance</em>

<u><em>Final answer:</em></u><em>-</em>

<em> The calculated value Z = 1.8823 <1.96 at 0.05 level of significance</em>

<em> The average amount of energy used in his factory per day has changed since last year.          </em>

3 0
2 years ago
What is the value of 1/16 times 16 plus negative 16 plus 16?
guapka [62]

Absolute value (no negatives)

1/16=.0625*16=1+16=17+16=33

7 0
3 years ago
Read 2 more answers
What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
\implies (1-r)S=a(1-r^n)
\implies S=a=\dfrac{1-r^n}{1-r}

Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

In this case, you have a=2, r=\dfrac12, and n=16. So the value of the sum is

\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

Rounded to the nearest whole number, the answer would be 3.
4 0
3 years ago
Read 2 more answers
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