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4 years ago

What is x in -3-6x=9

Mathematics

2 answers:

Usimov [2.4K]4 years ago

3 0

-2 you add 3 to both sides and get -6x=12. Then, you divide both sides by -6, and you get x=-2

Yakvenalex [24]4 years ago

3 0

-3 - 6x = 9

Add 3 to both sides.

-6x = 12

Divide both sides by -6.

is your answer.

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A single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 5.

makkiz [27]

Answer: 1/2, 2/3

Step-by-Step Explanation:

No. Of Outcomes = 6
Even Numbers = 3
Numbers < 5 = 4

=> P (Even Numbers) = 3/6 = 1/2
=> P (Numbers < 5) = 4/6 = 2/3

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2 years ago

A dinosaur fossil is 91,910,000 years old. how can you express this age in scientific notation with the highest level of precisi

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3 years ago

Read 2 more answers

Select a real-world problem for the equation 18w = 108. Then solve the problem. A If total rainfall for last month was 108 inche

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The problem is multiplying w by 18 to get a total of 108.

The answer would be :

D If one full glass holds 18 ounces of water, how many full glasses will hold 108 ounces?

To solve for the number of cups divide both sides of the equation by 18:

18w = 108

W= 108 / 18

W = 6

It would take 6 18 ounce glasses to equal 108 total ounces.

6 0

3 years ago

A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card

ryzh [129]

6 red face cards

->in favour:

6/52

= 3/26

-> against:

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8 0

2 years ago

A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. a) E

polet [3.4K]

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) $\alpha =1-0.98=0.02$

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

$p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }$

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and $z_{\alpha/2}$ is the z-value that let a probability of $\alpha/2$ on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, $\alpha$ by 0.02 and $z_{\alpha/2}$ by 2.33

Where p' and $\alpha$ are calculated as:

$p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02$

So, replacing the values we get:

$0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438$

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence $1-\alpha$ is equal to 98%

It means the the level of significance $\alpha$ is:

$\alpha =1-0.98=0.02$

4 0

3 years ago