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Mashcka [7]
3 years ago
10

Tom has twice as many marbles as Luke. Together they have 39 marbles. How

Mathematics
2 answers:
Georgia [21]3 years ago
6 0
x-Luke\ marbles\\\\2x-Tom\ marbles\\\\x+2x=39\\\\3x=39\\\\x=39:3\\\\x=13\\\\2x=2(13)=26\\\\Answer:Tom\ have\ 26\ marbles.
snow_lady [41]3 years ago
3 0
Devide the marbles with 3
because tom : luke is 2 : 1
And 2+1=3

39/3=13

So tom's marbles = 2 x 13 = 26
And luke's marbles= 1x 13= 13
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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=2a%20%7B%20%7D%5E%7B2%7D%20b%20%7B%7D%5E%7B2%7D%20-%207ab%20-%2030" id="TexFormula1" title="2a
yarga [219]

Answer:

(ab - 6)(2ab + 5)

Step-by-step explanation:

Assuming you require the expression factorised.

2a²b² - 7ab - 30

Consider the factors of the product of the coefficient of the a²b² term and the constant term which sum to give the coefficient of the ab- term

product = 2 × - 30 = - 60 and sum = - 7

The factors are - 12 and + 5

Use these factors to split the ab- term

= 2a²b² - 12ab + 5ab - 30 ( factor the first/second and third/fourth terms )

= 2ab(ab - 6) + 5(ab - 6) ← factor out (ab - 6) from each term

= (ab - 6)(2ab + 5) ← in factored form

5 0
3 years ago
PLEASE HELP: A standard six-sided die is rolled.
amm1812

Answer in fraction form is 1/3

Answer in decimal form is 0.3333

Pick one answer only.

==========================================================

Explanation:

The sample space is the set of all possible outcomes. In this case, the outcomes consist of values between 1 and 6

S = sample space

S = {1,2,3,4,5,6}

There are 6 items here. Let B = 6.

We want to roll a number greater than 4, so the event space we're after is

E = {5,6}

which consists of 2 items. Let A = 2.

The probability we want is A/B = 2/6 = 1/3 = 0.3333

So if you go with the fraction option, then you'll type in 1/3

If you go with the decimal option, then you'll type in 0.3333

4 0
3 years ago
FIND THE SURFACE AREA. I WILL MARK YOU A BRAINLEST IF THE ANSWER IS RIGHT
garik1379 [7]

Answer:

philipines the 1

philipines the 1

philipines the 1

philipines the 1

philipines the 1

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philipines the 1

philipines the 1

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4 0
3 years ago
Read 2 more answers
Word problem:
Jlenok [28]

Answer:

Below.

Step-by-step explanation:

30 kg 500g + 28kg 700g

= 58kg + 1200g

= 59kg 200g.

Difference

= 30 kg 500g - 28kg 700g

= 2kg + 500 - 700

= 2kg - 200g

= 1kg 800g.

3 0
3 years ago
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