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4 years ago

What expression is equivalent to 6 × 10^−4/2 × 10^3

Mathematics

1 answer:

Ksivusya [100]4 years ago

4 0

The correct answer is: [A]: " 3 * 10 ⁻⁷ " .

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Explanation:

To solve:

Given:

<u> (6 * 10⁻⁴ ) </u> = (6 ÷ 2) * 10⁽⁻⁴ ⁻³⁾ = 3 * 10 ⁻⁷ ; which is:

(2 * 10³ )

→ Answer choice: [A]: " 3 * 10 ⁻⁷ " .

_____________________

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The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under

Ann [662]

Answer:

$t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50$

Step-by-step explanation:

Data given and notation

$\bar X=1.20$ represent the sample mean given

$\sigma = 0.14$ represent the population standard deviation

$n=49$ sample size

$\mu_o =1.25$ represent the value that we want to test

t would represent the statistic (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:

Null hypothesis: $\mu \geq 1.25$

Alternative hypothesis: $\mu < 1.25$

If we analyze the size for the sample is > 30 but we don't 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)

Calculate the statistic

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

$t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50$

5 0

3 years ago

Suppose Amanda wants to have $800,000 in her IRA at the end of 30 years. She chooses to invest in an annuity that pays

VARVARA [1.3K]

Her IRA interest at the end of 30 years is mathematically given as

Interest= 438,765.56

<h3> IRA interest </h3>

Question Parameters:

N = 30
PV = 0
rate = 5%
FV = 800,000

Generally the equation for the payment function on excel is mathematically given as

A=PMT(rate, nper, pv, [fv], [type])

Therefore, inputting our functions

A=PMT(rate, nper, pv, [fv], [type])

where

A=PMT(5%, 30, 0, [800000], [])

A = 12,041.1481

Hence

interest = 800,000 - 30*12,041.1481

Interest= 438,765.56

For more information on Growth rate

brainly.com/question/5160341

6 0

3 years ago

If the center of a circle is (1, 1), and it has a radius of 5, which is another point on the circle?

Rufina [12.5K]

Answer:

(4,5)

Step-by-step explanation:

The equation of a circle that has centre coordinates (a,b) and radius r is

(x-a)^2+(y-b)^2=r^2

so (4,5) satisfy the equation

3^2+4^2=9+16=25

6 0

3 years ago

What is the answer to 5x-10

IrinaVladis [17]

-50 hope this helped

5 0

4 years ago

Consider circle C with diameter DE. The equation of circle C is ()2 + ()2 = .

Ne4ueva [31]

Answer:

The equation of circle C is ( x-5 )2 + ( y-7 )2 = 80 .

Step-by-step explanation:

7 0

3 years ago