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2 years ago

How do you solve -2+6(-6x+6)?

Mathematics

1 answer:

Natali5045456 [20]2 years ago

4 0

Answer: −36x+34

Step-by-step explanation:

Equation: −2+6(−6x+6)

Step 1. distribute the equation:

−2+(6)(−6x)+(6)(6)

−2+−36x+36

Step 2. Finally combine like terms:

−2+−36x+36

(−36x)+(−2+36)

−36x+34

Final Answer:

−36x+34

Hope I could help! :)

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

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Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

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2 years ago

Multiply the binomials (x + 12)(x - 6) *

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Step-by-step explanation:

(x + 12)(x - 6)

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Answer:

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Step-by-step explanation:

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Simply add 5.5 feet to 1.5 feet. The answer is 7 feet below sea level.

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Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR=7.1^0$ =Angle subtended by the statue to where you are standing.

$\angle x$ = $\angleRPQ$ which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

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Which gives x to be:

$x=tan^{-1} (\frac{21}{57})\approx 20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ will get added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta PQS$ .

We can again use the tan trigonometric ratio in $\Delta PQS$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

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