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3 years ago

3^4x-5=(1/27) PLEASE HELP I AM IN TEARS

Mathematics

2 answers:

g100num [7]3 years ago

8 0

x = 136/2187 = 0.062

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3^4*x-5-(1/27)=0

Step by step solution :
Step 1 : 1 Simplify —— 27 Equation at the end of step 1 : 1 (((34) • x) - 5) - —— = 0 27 Step 2 :

Equation at the end of step 2 : 1 ((34 • x) - 5) - —— = 0 27 Step 3 :Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 27 as the denominator :

81x - 5 (81x - 5) • 27 81x - 5 = ——————— = —————————————— 1 27

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(81x-5) • 27 - (1) 2187x - 136 —————————————————— = ——————————— 27 27 Equation at the end of step 3 : 2187x - 136 ——————————— = 0 27 Step 4 :When a fraction equals zero : 4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2187x-136 ————————— • 27 = 0 • 27 27

Now, on the left hand side, the 27 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
2187x-136 = 0

Solving a Single Variable Equation :

4.2 Solve : 2187x-136 = 0

Add 136 to both sides of the equation :
 2187x = 136
Divide both sides of the equation by 2187:
 x = 136/2187 = 0.062

One solution was found : x = 136/2187 = 0.062

Verdich [7]3 years ago

4 0

This is really easy all it is is 3*4x-5

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The viscosity of a liquid detergent is supposed to average 800 centistokes at 25° C. A random sample of 16 batches of detergent

meriva

Answer:

a) Null hypothesis: $\mu = 800$

Alternative hypothesis: $\mu \neq 800$

b) $z=\frac{812-800}{\frac{25}{\sqrt{16}}}=1.92$

c) $p_v =2*P(z>1.92)=0.0548$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not different from the value of 800.

d) $812- 1.96 \frac{25}{\sqrt{16}}=799.75$

$812+ 1.96 \frac{25}{\sqrt{16}}=824.25$

Since the confidence interval contains the value 800 this result agrees with the result obtained in the hypothesis test we fail to reject the null hypothesis that the true mean is 800

Step-by-step explanation:

Data given and notation

$\bar X=812$ represent the mean for the sample

$\sigma=25$ represent the standard deviation for the population

$n=16$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

a) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is different from 800 centistokes:

Null hypothesis: $\mu = 800$

Alternative hypothesis: $\mu \neq 800$

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

b) Calculate the statistic

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

$z=\frac{812-800}{\frac{25}{\sqrt{16}}}=1.92$

c) Calculate the P-value

Since is a two tailed test the p value would be:

$p_v =2*P(z>1.92)=0.0548$

Conclusion

d) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing we got:

$812- 1.96 \frac{25}{\sqrt{16}}=799.75$

$812+ 1.96 \frac{25}{\sqrt{16}}=824.25$

Since the confidence interval contains the value 800 this result agrees with the result obtained in the hypothesis test we fail to reject the null hypothesis that the true mean is 800

8 0

4 years ago

A map has a scale of 1 inch: 15 miles. use the given map distance to find the actual distance.

Aleks04 [339]

Idk tbh I think you can search that up

5 0

3 years ago

Which of the following is closest to 32.9 x 7.5? A:232 B:259 C:220 D:265

aleksklad [387]

246.75 is the answer when you multiply those numbers together. Round so you can get 247

247-232= 15
259-247= 12
247-220 = 27
265-247 = 18
So 259 is the answer

The answer is B

6 0

3 years ago

Read 2 more answers

Plz help ASAP will mark brainliest for the correct answer

Anit [1.1K]

Answer:

It takes 534.54 watts

Step-by-step explanation:

Given :

Mass of the book = 30kg

Distance = 10m

Time = 5.5 sec