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3 years ago

Solve the equation: 64 x 216^x =54^x

Mathematics

1 answer:

GaryK [48]3 years ago

4 0

Answer:

x=1/256

Step-by-step explanation:

hope it helps you

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Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quar

Misha Larkins [42]

q = quarters

dimes is 3 plus 3times quarters

so 3q is 3 times quarters

so 3q+3 would be 3 times plus 3

equation is 3q+3

the value would be 10(3q+3)

7 0

3 years ago

Read 2 more answers

5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g

anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1117}{10} = 111.7$

Sum of squares of differences = 642.1

$S.D = \sqrt{\frac{642.1}{49}} = 8.44$

We are given the following in the question:

Population mean, μ = 106

Sample mean, $\bar{x}$ = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 106\\H_A: \mu > 106$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0

3 years ago

GIVING ALL MY POINTS! GIVING BRAINLIEST! I have a plagiarism checker-

koban [17]

The reason fractions need a common denominator before adding or subtracting is so that the numbers of pieces you are adding/subtracting are all the same size. Note that the numerator of a fraction just tells you how many pieces you have of that size.

5 0

2 years ago

X > 2 and x < 7<br><br>I don't understand

valentinak56 [21]

It means that x value is between 2 to 7 ( more than 2, but less than 7)
In notation, 2 < x < 7 or (2,7).

3 0

3 years ago

Most interesting way to write 6 billion is...? Why?

ycow [4]

Answer:

Its 6 bill because people think its flashy

Step-by-step explanation: