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jasenka [17]
2 years ago
12

Please help me with this problem!!!

Mathematics
2 answers:
Lilit [14]2 years ago
7 0

3  {}^{4x  - 5}  = ( \frac{1}{27} ) {}^{2x + 10}  \\ note  \: \: that =  \\ ( \frac{1}{27} ) = ( \frac{1}{3 {}^{3} } ) = 3 {}^{ - 3}  \\  \\ 3 {}^{4x - 5}  = (3 {}^{ - 3} )  {}^{2x + 10}  \\ 3 {}^{4x + 5}  = 3 {}^{ - 3(2x + 10)}  \\ equal \:  \: bases =  > equal \: exponents

4x - 5 =  - 3(2x + 10) \\ 4x - 5 =  - 6x - 30 \\ 4x  + 6x =  - 30 + 5 \\ 10x =  - 25 \\ x =   - 2.5

SCORPION-xisa [38]2 years ago
6 0

Answer:

x = -2.5

Step-by-step explanation:

3^(4x-5)=(1/27)^(2x+10)

We are working with exponents

We can rewrite 1/27 as 3^-3

3^(4x-5)=(3^-3)^(2x+10)

Now we know that a^b^c = a^(b*c)

3^(4x-5)=3^( -3* (2x+10))

3^(4x-5)=3^( -6x -30)

The bases are the same so the exponents must be the same

4x-5 = -6x-30

Add 6x to each side

4x-6+6x = -6x-30+6x

10x-6 = -30

Add 5 to each side

10x-5+5 = -30 +5

10x = -25

Divide by 10

10x/10 = -25/10

x = -2.5

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eimsori [14]

Answer:

t=\frac{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131  

Rejection Zone: t_{calculated} or t_{calculated}>2.131

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts  and data given  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X=4.2 represent the sample mean  

s=1.4 represent the sample standard deviation  

n=16 represent the sample selected  

\alpha=0.05 significance level  

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean is different from 3.6, the system of hypothesis would be:    

Null hypothesis:\mu = 3.6    

Alternative hypothesis:\mu \neq 3.6    

If we analyze the size for the sample is < 30 and we know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:    

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic  

We can replace in formula (1) the info given like this:    

t=\frac{4.2-3.6}{\frac{1.4}{\sqrt{16}}}=1.714

Critical values

On this case since we have a bilateral test we need to critical values. We need to use the t distribution with df=n-1=16-1=15 degrees of freedom. The value for \alpha=0.05 and \alpha/2=0.025 so we need to find on the t distribution with 15 degrees of freedom two values that accumulates 0.025 of the ara on each tail. We can use the following excel codes:

"=T.INV(0.025,15)" "=T.INV(1-0.025,15)"

And we got t_{crit}=\pm 2.131    

So the decision on this case would be:

Reject the null hypothesis if the observed "t" value is less than -2.131 or higher than 2.131  

Rejection Zone: t_{calculated} or t_{calculated}>2.131

Conclusion    

In our case since our calculated value is not on the rejection zone we don't have enough evidence to reject the null hypothesis at 5% of significance.

3 0
3 years ago
Use the following trinomial to answer the questions. x^2-6x-27 When going through the process of determining the factors, the tw
Sauron [17]

Answer:

The factors are 3 and -9

Step-by-step explanation:

The given trinomial is x^2-6x-27.

We need to find two factors. We know that,

3(9) = 27

So,

x^2-6x-27 can be written as :

x^2+3x-9x-27 as two factors add up to get -6 and multiply to get -27.

Hence, the factors are 3 and -9.

5 0
2 years ago
I don't get how to solve for x with prathesis
Brums [2.3K]
Just remember that something outside the parentheses applies to everything inside.

Examples:

3 times (x + 2) . . . . . means . . . . . 3 times 'x'  <u>plus</u>  3 times 2

a (b + c) . . . . . means . . . . . ab  <u>plus</u>  ac

4 (w + x + y + 2) . . . means . . . 4w + 4x + 4y + 8

When somebody gives you an equation that has parentheses in it,
the first thing you're always supposed to do is get rid of them. 
With the examples I just gave you, you know how to do that now.


5 0
3 years ago
Seirra found that 15 meters is equivalent to 49.2 feet which of the following is an equivalent ratio
loris [4]

A.........................................                                                                                                                                  

8 0
3 years ago
Read 2 more answers
Hii! If someone could plz help me!
sergeinik [125]

Answer:

-4.5 is less than 3

-12/5 is less than 2

-3, -1.5, -1, 0, 2, 2.75, 5, 5.2

-3/2 = -1.5

11/4 = 2.75

3 0
2 years ago
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