All categories

2 years ago

Simplify 5^3/5^7 leaving your anwser in index form

Mathematics

1 answer:

Wewaii [24]2 years ago

6 0

Steps:

Simplify:

5³/5⁷

= 5³/5⁷

= 5*5*5/ 5*5*5*5*5*5*5

=1/5⁴

=1/625 (Decimal: 0.0016)

Steps by Step:

5³/5⁷

=125/5⁷

=125/78125

=1/625

Answer: =1/625 (Decimal: 0.0016)

Please mark brainliest

Hope this helps.

You might be interested in

10. What makes an equation a quadratic?

CaHeK987 [17]

Answer:

D. The equation has a variable multiplied by itself. A squared variable.

Step-by-step explanation:

A quadratic equation will always start with a term being squared. For example, $8x^{2}$ + 5x + 7 = 44. Another example would be $4x^{2}$ + 2x - 10 = 12. These are just random numbers, but the equation will always look the same! Hope this helps!

6 0

2 years ago

Read 2 more answers

In the kite, the orange diagonal is 10 units and the purple diagonal is 14 units. What is the area of the kite?

Vlada [557]

Answer: 70 square units

Step-by-step explanation:

Area of kite = (one diagonal * another diagonal) / 2

10 * 14 = 140

140 / 2 = 70

3 0

2 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the are

Nastasia [14]

Answer:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.36$ estimated proportion with the survey

$p_o=0.41$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:

Null hypothesis: $p\geq 0.41$

Alternative hypothesis: $p < 0.41$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

8 0

3 years ago

Read 2 more answers

Give the angle pair name to justify your work equation setup and solve for x. 6x - 24 2x + 12°

marta [7]

Answer:

x = 9

Step-by-step explanation:

4 0

2 years ago

A recent poll of 80 randomly selected Californians showed that 38% ( = 0.38) believe they are doing all that they can to conserv

Elanso [62]

The margin of error given the proportion can be found using the formula

$z* \sqrt{ \frac{p(1-p)}{n} }$

Where
$z*$ is the z-score of the confidence level
$p$ is the sample proportion
$n$ is the sample size

We have
$z*=2.58$
$p=0.38$
$n=80$

Plugging these values into the formula, we have:
$2.58 \sqrt{ \frac{0.38(1-0.38)}{80} } =0.14$

The result 0.14 as percentage is 14%

Margin error is 38% ⁺/₋ 14%

8 0

3 years ago

Read 2 more answers