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3 years ago

If 5^x = 125, find the value of x

Mathematics

2 answers:

Aloiza [94]3 years ago

8 0

Answer:

x=25

Step-by-step explanation:

To figure out this equation, you need to remove 5 (which is a multiply as its multiplying by x) from the first side by dividing (divide as you do the opposite operation, divide is the opposite of multiply) it by the other.

x= 125 divided by 5

x=125/5

x=25

Alekssandra [29.7K]3 years ago

4 0

It's very easy, just try raising 5 to different powers until you get 125.
5^1 = 5
5^2 = 5*5 = 25
5^3 = 25*5 = 125
Ah, x is 3!

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A photo is 4 inches by 6 inches. What is the area of the photo?

kolezko [41]

4 * 6 = 24
The answer is, the area of the whole photo is 24.
Hope this helped :)

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3 years ago

E and f are supplementary. the measure of e is 54 more than the measure of f. find the measures of each angle.

Katen [24]

Supplementary means they add up to 180

X + 54 = 180

180-54= x

X = 126

126+54=180?

Yep

So your answer is

126

6 0

3 years ago

last week, Sara earned 84 dollars. she earned 14 dollars mowing lawns. she earned the rest of the money babysitting for 7 dollar

morpeh [17]

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7 0

3 years ago

Please help thanks in advance also best answer get's brainlest

Neko [114]

Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

5 0

2 years ago

An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample

valentina_108 [34]

Answer:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Replacing we got:

$\bar X=58.875$ represent the mean

$s=5.083$ represent the sample standard deviation for the sample

$n=8$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:

Null hypothesis: $\mu \geq 60$

Alternative hypothesis: $\mu < 60$

The statistic would be given by:

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

Replacing the info we got:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0

3 years ago