Order the numbers from greatest to least 44.912 , 44.102 , 44.120

Answer:

76.2

Step-by-step explanation:

Use a calculator or chart to find the z-score associated with the probability.

P(Z > z) = 0.02

P(Z < z) = 0.98

z = 2.054

Find the height.

z = (x − μ) / σ

2.054 = (x − 70) / 3

x = 76.2

Answer: 6.5

Step-by-step explanation:

\(|-6.5| = 6.5\)

_________

Answer:

The cost of the tip is $2.63

Step-by-step explanation:

First, we need to find the sales tax and 5% of 12.5 = 0.625

After that we need to add the tax to the original price which is 0.625 + 12.50 = $13.125

From that price we need to find 20% of it which is 0.20 x 13.125 = 2.625

Now we need to round that to the nearest cent which is 2.63

So, he paid $2.63 in tips.

Hope this helps :)

Answer:

3 ¹³/²⁰ m

Step-by-step explanation:

You first take 8¼ m then you subtract 4⅗m giving you 3 ¹³/20

Answer:

there will be 39 students in the school but not sure how to put it in partial quotients

Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).

"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).

The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.

To provide a brief response:

For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).

For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).

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Jane has 6 - 14 - 12 = -20 boxes of beads left.

Jane initially had 6 boxes of beads.

She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.

To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.

First, let's calculate the total number of boxes used and given away:

Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister

Total boxes used and given away = 14 + 12

Total boxes used and given away = 26

Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:

Boxes left = Initial number of boxes - Total boxes used and given away

Boxes left = 6 - 26

Boxes left = -20

The result is -20, which implies that Jane has a deficit of 20 boxes of beads.

This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.

It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.

If the result were positive, it would represent the number of boxes remaining.

However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.

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Answer:

exact form 32/21

decimal form 1.523809 repeating

mixed number form 1 11/21

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

Answer:

2/5 divided 1/2 as a unit rate .what do you mean

Answer: 1, 2, 3, 4, 5, 6, 8, 10

Step-by-step explanation:

120 ÷ 1 = 120

120 ÷ 2 = 60

120 ÷ 3 = 40

120 ÷ 4 = 30

120 ÷ 5 = 24

120 ÷ 6 = 20

120 ÷ 8 = 15

120 ÷ 10 = 12

Answer:

Use a calculator please?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Vertically opposite angles are equal

1 and 3 are equal.

5x + 10 = 70

5x = 60

x = 12

Answer:

(a)0.615

(b)304

(c)183

Step-by-step explanation:

Among 147 subjects with positive test results, there are 30 false positive (actually negative) results;

Among 157 negative results, there are 4 false-negative (actual positive) results.

The table below summarises the given data.

\(\left\begin{array}{c|c|c|cc}&$Use Marijuana&$Did Not Use Marijuana&$Total\\---&-------&-------&-------\\$Positive Result&117&30&147\\$Negative Result&4&153&157\\---&-------&-------&-------\\$Total&121&183&304\end{array}\right\)

(a)The probability that a randomly selected subject tested negative or did not use marijuana

P(negative or did not use marijuana)

=P(negative)+P(did not use marijuana)-P(both)

\(=\dfrac{157}{304}+ \dfrac{183}{304}-\dfrac{153}{304}\\=\dfrac{187}{304}\\\\\approx 0.615\)

(b)There were a total of 304 subjects in the study.

(c)A total of 183 subjects did not use marijuana.

Answer:1 2/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have 6 numbers, the mean is the average of all 6, so adding all 6 numbers together and dividing by 6 will give you 3. Because of this we know the 6 numbers will have to add up to 18.

The median is the middle number, but we have an even number so the median is found by adding the 2 middle numbers and dividing by 2.

Because the mean is low, we can guess the first 2 numbers will be small, so let's try 1.  

1 + 1 + _ + _ + _ + _

The remaining 4 numbers will have to add up to 16, and the next 2 numbers need to add up to 12. There would not be any possible combination where this would work. Now we know our first 2 numbers are too big.

Now we try 0.

0 + 0 + _ + _ + _ + _

Now our remaining 4 numbers neet to be 18, but the middle 2 need to add to 12 (so when we divide by 2 we get 6) so 0 is still too big!

-2 + -2 + _ + _ + _ + _  

If we try -2 now the next 4 numbers need to add to 22, but that's still not going to work because 22-12 = 10 and the last 2 numbers have to be the same, or larger than the middle 2.

-3 + -3 + _ + _ + _ + _  

With -3 then our total of the remaining 4 numbers needs to be 24 and 24-12 = 12 so this could be an option!

Our numbers could be:

-3, -3, 6, 6, 6, 6

Let's check:

-3 + -3 + 6 + 6 + 6 + 6 = 18   18/6 = 3    and our middle 2 numbers are 6 so our median would be 6.

If the numbers all have to be different we can come up with a different solution by making our first 2 numbers smaller.

-9, -5, 5, 7, 9, 11  

Let's check

-9 + -5 + 5 + 7 + 9 + 11

-14 + 32 = 18  mean  18/6 = 3      median 5+7 = 12 and 12/2 = 6

So that could also work! There are actually many options that would be correct!

One of the set of numbers whose mean is 3 and median is 6 is 0, 1, 5, 7, 2 and 3.

Mean of a set of numbers is the average value of the numbers. Mean is calculated by taking the sum of the given numbers divided by the total number of numbers.

Let x₁, x₂, x₃, x₄, x₅ and x₆ be the six numbers.

We have mean = 3

⇒ (x₁ + x₂ + x₃ + x₄ + x₅ + x₆) / 6 = 3

⇒ x₁ + x₂ + x₃ + x₄ + x₅ + x₆ = 18

Median is the midpoint of the set of numbers arranged in ascending or descending orders.

If the number of set of numbers are odd, then median is the midpoint of the set and if the number of the set is even, then median is the average of the middle two elements.

Median = 6

Since there are 6 numbers here median = (x₃ + x₄) / 2

(x₃ + x₄) / 2 = 6

(x₃ + x₄) = 12

So x₁ + x₂ + x₅ + x₆ = 18 - 12 = 6

Lets just say x₁ = 0, x₂ = 1, x₅ = 2 and x₆ = 3, the sum of which equals 6.

Now, let x₃ = 5 and x₄ = 7, such that x₃ + x₄ = 12

So one of the set which satisfies the given conditions is x₁, x₂, x₃, x₄, x₅ and x₆ = 0, 1, 5, 7, 2 and 3 respectively.

Hence, one of the list of 6 numbers whose mean equals 3 and median equals 6 is 0, 1, 5, 7, 2 and 3.

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Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

well, there are 10 years in 1 decade, so 8.7 decades will just be 8.7*10 = 87 years, so

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &230\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &87\\ \end{cases} \\\\\\ A=230(1 - 0.07)^{87}\implies A=230(0.93)^{87}\implies A\approx 0.42\)

Answer:

2x, (x-2), (x+6)

Step-by-step explanation:

I just took the quiz on plato and I got it correct

P.S Can you guys give me the brainliest please

The least common denominator for the function  \(\frac{11x}{x^{2} +4x-12} -\frac{7}{2x^{2} -4x}\)  is     (x -2).

The least common multiple of a group of fractions' denominators is known as the lowest common denominator, or Least Common Denominator.

Calculation for the least common denominator:

Consider the given expression,

\(\frac{11x}{x^{2} +4x-12} -\frac{7}{2x^{2} -4x}\)

Further simplifying the equation by factorisation of the denominator part

= \(\frac{11x}{x^{2} +6x-2x-12} -\frac{7}{2x(x -2)}\)

= \(\frac{11x}{(x+6)(x-2)} -\frac{7}{2x(x -2)}\)

= \(\frac{1}{x-2}\)×\([\frac{11x}{(x+6)} -\frac{7}{2x}]\)

Therefore, from the above result, it is found that (x-2) is the least common denominator that can be taken.

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Well, Mathematics can enhance your analytical and problem-solving skills, expands the mind to handle difficult or unfamiliar tasks, and also promotes cautious and careful thinking. Once you know what the words mean you'll be able to write different variable expressions. Like I said it enhances our minds and helps think and solve probelms.

Answer:

183

Step-by-step explanation:

300

-117

183 will get prime ribs

The equation is y = (5/7)x + 4. Then the value of the pattern y at x = 63 will be 49.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

Then the equation of the line is given as,

(y - 5) = [(10 - 5) / (14 - 7)](x - 7)

y - 5 = (5/7)x - 1

y = (5/7)x + 4

At x = 63, the value of 'y' is given as,

y = (5/7)63 + 4

y = 45 + 4

y = 49

The equation is y = (5/7)x + 4. Then the value of the pattern y at x = 63 will be 49.

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The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Answer: 177.65

Step-by-step explanation:

its the only accurate  answer.........

The nearest tenth, 44.5 minutes have gοne by.

Time is the οngοing prοgressiοn οf existence and events that take place in what appears tο be an irreversible οrder frοm the past thrοugh the present tο the future. It is οne οf the quantities that make up variοus measurements that are used tο cοmpare the lengths οf events οr the gaps between them, tο cοmpare hοw lοng they last, tο οrder events, and tο measure hοw quickly certain quantities in the physical wοrld οr in cοnsciοus experience change. The fοurth dimensiοn, in additiοn tο the three spatial dimensiοns, is frequently referred tο as time.

If Teresa has finished 57% οf her run, then she has 43% left tο cοmplete.

Let x be the number οf minutes that have gοne by.

Since 57% οf the run is cοmpleted in 78 minutes, we can set up the fοllοwing prοpοrtiοn:

57/100 = x/78

Sοlving fοr x, we get:

x = (57/100) * 78

x = 44.46

Therefοre, tο the nearest tenth, 44.5 minutes have gοne by.

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