Find the GCF of each pair of monominals 54gh,72g

Which is equal to 7(3.5x10^4)written in scientific nation

k0ka [10]

The answer is 2.45 x 10^5.

7 x 3.5 = 24.5

Move the decimal place over to the left until you have a number between 1 and 9 before the decimal point.

Add the number of times you moved the decimal point to the exponent (The 4 in the original equation).

2.45 x 10^5.

I hope this helps!

5 0

3 years ago

Bottles of purified water are assumed to contain 250 milliliters of water. There is some variation from bottle to bottle because

marshall27 [118]

Answer:

We accept H₀ we don´t have evidence of differences between the information from the sample and the population mean

Step-by-step explanation:

From data and excel (or any statistics calculator) we get:

X = 249,6 ml and s 1,26 ml

Sample mean and sample standard deviation respectively.

Population mean μ₀ = 250 ml

We have a normal distribution but we dont know the standard deviation of the population. Furthermore we have a two tails test since we are finding if the sample give us evidence of differences ( in both senses ) when we compare them with the amount of water spec ( 250 ml )

Our test hypothesis are: null hypothesis H₀ X = μ₀

Alternative Hypothesis Hₐ X ≠ μ₀

We also know that sample size is 8 therefore df = 8 - 1 df = 7 , with this value and the fact that we are required to test at α = 0,05 ( two tails test)

t = 2,365

Then we evaluate our interval:

X ± t* (s/√n) ⇒ 249,6 ± 2,365 * ( 1,26/√8 )

249,6 ± 2,365 * (1,26/2,83) ⇒ 249,6 ± 2,365 *0,45

249,6 ± 1,052

P [ 250,652 ; 248,548]

Then the population mean 250 is inside the interval, therefore we must accept that the bottles have being fill withing the spec. We accept H₀

7 0

3 years ago

Write an equation in slope-intercept form that passes through (2, -3) and slope of -5.

Ksivusya [100]

Step-by-step explanation:

Hey there!

The given slope is "-5" and it passes through point (2,-3).

Use one-point formula to find out the equation.

$(y - y1) = m(x - x1)$

Put all values.

$(y + 3) = - 5(x - 2)$

Simplify it.

$(y + 3) = - 5x + 10$

$y = - 5x + 10 - 3$

$y = - 5x + 7$

Therefore, the equation is y= -5x+7.

Hope it helps...

8 0

3 years ago

A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does

elixir [45]

Answer:

15.20feet

Step-by-step explanation:

Length of the ladder = 16foot (hypotenuse)

BAse of the ladder from the house = 5feet (adjacent)

height of the house = x (opposite)

Using the pythagoras theorem

hyp^2 = opp^2 + adj^2

16^2 = 5^2 + opp^2

256 = 25 + opp^2

opp^2 = 256-25

opp^2 = 231

opp =√231

opp = 15.20

Hence the house is 15.20feet high up the house

4 0

3 years ago

Jake says that 3/5 - 1/2 = 2/3 which is incorrect. What is his mistake

slega [8]

It appears Jake said 5-2 = 3 for the denominator portions. This is not correct. In order to subtract fractions, the denominators must be the same and they stay the same the entire time. Only the numerators (aka stuff up top) are being subtracted.

Currently 3/5 - 1/2 cannot be subtracted since the 5 and 2 are different denominators. But we can say this:

3/5 = 6/10

1/2 = 5/10

and then from there, we can say:

3/5 - 1/2 = 6/10 - 5/10 = (6-5)/10 = 1/10

So in short,

3/5 - 1/2 = 1/10

8 0

3 years ago