choose the correct option that explains what steps were followed to obtain the system of equations below x+6y = 5

Answer:

It will take you at least 17 full weeks to make twice what you spend on the arcade.

Step-by-step explanation:

The inequality will look like this: 10,153x ≥ 170,978

After 17 weeks, you'll have made $172,601, one week less you'll only make $162,448, so it will take you at least 17 full weeks to make twice what you spent on the arcade.

Answer:

0.0003 = 0.03% probability that the mean price per gallon is less than ​$2.812​

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Finite correction factor:

If the sample is more than 5% of the population, instead of Central Limit Theorem, we use the finite correction factor, as the standard deviation of the sampling distribution would be too big.

The mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was ​$0.008 per gallon.

Large sample, so this can be treated as the population data. Then [tex]\mu = 2.816, \sigma = 0.008[/tex]

Sample of 45:

45/800 = 0.056 = 5.6% -> Sample more than 5% of the population, so we use the finite correction factor. This means that s will be multiplied by:

[tex]FCF = \sqrt{\frac{N-n}{N-1}}[/tex]

In which n is the size of the sample(45) and N is the size of the population (800). So

[tex]FCF = \sqrt{\frac{755}{799}} = 0.9721[/tex]

By the Central Limit Theorem, [tex]n = 45, s = 0.9721*\frac{0.008}{\sqrt{45}} = 0.00116[/tex]

What is the probability that the mean price per gallon is less than ​$2.812​?

This is the pvalue of Z when X = 2.812. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2.812 - 2.816}{0.00116}[/tex]

[tex]Z = -3.45[/tex]

[tex]Z = -3.45[/tex] has a pvalue of 0.0003

0.0003 = 0.03% probability that the mean price per gallon is less than ​$2.812​

Answer:

Step-by-step explanation:

‘a’ in this question is the slope of the line. Slope is (y2-y1)/(x2-x1) for any two points. We can see the line intersects the point (0,0) and (-10/9) so the slope is -10/9 which is less than -1 so

a<-1

Answer:

the ground level is -2

Step-by-step explanation:

hope this helps

Answer:

51

Step-by-step explanation:

Answer:

the answer is no

Step-by-step explanation:

It only shows that one pair of lines are parallel but not both are. Parallelograms have two pairs of parallel lines.

Answer:

Hello! :) have a good day!

x = 35

4/5 = 28/35

Answer:

75 adults

195 total tickets

Step-by-step explanation:

8:5

120:x

Answer:

the amount of work that is done when the wall is moving 0.5 m is 250 jewels

Step-by-step explanation:

1) write out the equation

(W=F×d)

2) plug in the numbers into the equation

W= F×d= 500 ×0.5 m

3) solve the problem

W=F×d=500 × 0.5m =250 jewels

Answer:

−x(3−9x+8x^2+2x^3)

That's the answer simplified. Not simplified is −3x−9x^2+8x^3+2x^4

Step-by-step explanation:

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

Answer:

area = 4

Step-by-step explanation:

area = length × width

length= 3 1/3 =3/3 = 1 and width= 3

area = 1 × 3

= 4

Answer:

12.5 inches

Step-by-step explanation:

Given

[tex]Distance = 150\ miles[/tex]

[tex]Scale:= 24\ miles : 2\ inches[/tex]

Required

Determine the measurement in inches

Represent the inches equivalent with d.

So, the scale can also be calculated as:

[tex]Scale:= 150\ miles: d[/tex]

Equate both scales

[tex]150\ miles: d = 24\ miles ; 2\ inches[/tex]

Convert to fraction

[tex]\frac{d}{150\ miles} = \frac{2\ inches}{24\ miles}[/tex]

[tex]\frac{d}{150} = \frac{2\ inches}{24}[/tex]

Multiply both sides by 150

[tex]150 * \frac{d}{150} = \frac{2\ inches}{24} * 150[/tex]

[tex]d = \frac{2\ inches}{24} * 150[/tex]

[tex]d = \frac{2\ inches * 150}{24}[/tex]

[tex]d = \frac{300\ inches}{24}[/tex]

[tex]d =12.5\ inches[/tex]

Answer:

12.54

Step-by-step explanation:

Answer:

3 nights

Step-by-step explanation:

total charge = rate times time interval

Here, time interval = total charge / rate

                               $750 = ($250/night)(n nights)

                                Solving for n, we get n = 3 (nights)

An equation for a couple stayed in a standard room for x nights and their total room charge is $750 is, 250x  = 750

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

The rate charged for a standard room is $250 dollars

A couple stayed in a standard room for x nights

Total room charge =  $750

Equation = ?

Total charge = 250 × x

Total charge =  750

So,

250x  = 750

Thus, an equation is 250x  = 750

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Answer:

4 miles/1 day=56 miles/X days

X=56/4=14

Step-by-step explanation:

Answer:

She runs 14 miles.

explanation:

I got it right on my test (before I saw the other answer).

6(3y+2) + 8(4y+3) + 6y =

Distribute:

18y + 12 + 32y + 24 + 6y =

Combine like terms:

56y + 36

Answer:

Step-by-step explanation:

-3w - 15 = -6

-3w = 9

w = -3

Answer:

w = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(w + 5) = -6

Step 2: Solve for w

Answer:

B

Step-by-step explanation:

it has a line of 1/12 so every shirt is $12

Answer:

160 cans for 5 pounds of aluminum

Step-by-step explanation:

Answer:

so where is the equation

Answer:

The coefficient is 3.

Step-by-step explanation:

The coefficient is the number that is grouped with an unknown number represented by a letter.

Answer: Less than 5

Step-by-step explanation: 1/3 is less than one its .33 so 5 is bigger

Answer: 5

Step-by-step explanation: 1/3 is smaller than 5 therefore 5 is bigger

Answer:

2/8, 5/8

Step-by-step explanation:

[tex]\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}[/tex]

Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.

To add fractions with the same denominator just add the numerator, the denominator stays the same.

The fraction is 2/8 and the sum is 5/8.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

let the numerator be x when denominator is 8.

so, 1/4 = x /8

8 = 4x

x= 8/4

x= 2

Now, fraction resulted above is added with 3/8

2/8 + 3/8

= (2+3)/8

= 5/8

Hence, the sum is 5/8.

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Answer:

3,200.406

I think

Step-by-step explanation:

Answer:

Hello! :) have a good day!

3000 + 200 + .4 + 0.6 in standard form is 3201

Answer:

Press the png

Step-by-step explanation: