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lina2011
9 days ago
15

What is log6^e f rewritten using the power property?

Mathematics
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If tap and bre are supplementary and bre is its own complement, find the measure of tap. explain how you arrived at your answer
AnnZ [12381]
Supplementary angles total 180°, while complementary angles sum to 90°. Given that ∠bre is the complement of itself, we can determine its measure using the equation: m∠bre + m∠bre = 90° which simplifies to m∠bre = 45°. For the relationship between ∠bre and ∠tap, we have: m∠bre + m∠tap = 180°, therefore 45° + m∠tap = 180°, leading to m∠tap = 135°. The measure of ∠tap is thus 135°. 
3 0
2 months ago
The shortest leg of a right triangle is 27 units. The other leg is the solution to 2x – 5 = 67. What is the length of the hypote
PIT_PIT [12445]

Result:45

Detailed explanation:

3 0
2 months ago
The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin
PIT_PIT [12445]

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

The details provided in the question are:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

The weights are distributed in a bell-shaped normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We need to determine the value of x for which the probability is 0.03.

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03  

= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03  

=P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.97  

Using the standard normal z table, we find that,

\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12  

Thus, the value of 8.17 g separates the upper 3% of the weights.

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03  

From the standard normal z table, we derive,

\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90  

Consequently, 7.90 separates the lower 3% of the weights.

<ptherefore the="" accurate="" answer="" is="">

Option D) 7.90 g and 8.12 g

</ptherefore>
7 0
3 months ago
XY= 2x +1, YZ= 6x, and XZ=81
tester [12383]
 x = 27 + 3 √ 129/ 4, 27 − 3 √ 129/ 4

Please note: the entire equation mentioned is divided by 4, not only the last term. 

 x approximates to 15.26836251, − 1.76836251

That concludes my response. I hope this is helpful. You will still need to work on finding y and z, which can be quite challenging:)
8 0
3 months ago
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