12. Determine if the following equation has one solution, no solution, or infinite
solutions: 3(4x + 6) = 2(6x + 9).

⊂ Hey, rosedalphinis ⊃

Answer:

Mean: 6.9 hours; Median 7 hours

Step-by-step explanation:

⇒ Given:

-------------------------------------------------------------------------------------------------------------

Suppose these show number of hours each student in a class slept last night:

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

What is the mean of these numbers (rounded to the nearest tenth)?

What is the median?

Mean: 6.9 hours; Median 7 hours

Mean: 6.9 hours; Median 7.5 hours

Mean: 7 hours; Median 6.9 hours

Mean: 7.2 hours; Median 7 hours

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⇒ Solution~:

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Let's first define "Median".

You may be wondering "What is median/What is mean?".

When it asking for "Mean" It asking for the average.

When it asking for "Median" It asking for the middle number.

The formula for "Mean" is : M = sum of the terms/number of terms

According to the given we have;

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

Let's first find the "Mean":

First, add all the number together.

8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6

34 + 9 + 6 + 5 + 10 + 7 + 6 + 6

43+ 6 + 5 + 10 + 7 + 6 + 6

49+ 5 + 10 + 7 + 6 + 6

54+ 10 + 7 + 6 + 6

64 + 7 + 6 + 6

71+ 6 + 6

77 + 6

= 83

Now let's count how many numbers of hours each student in a class slept.

8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12

Now 83 divide by 12:

83/12 = 6.9166666666667 {Round}

6.9166666666667 = 6.9

Therefore, Mean = 6.9

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Next, Let's find the "Median":

To find the Median, place the numbers in value order and find the middle.

⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6

⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now we have them in order:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Then, we find the middle number:

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10

Now You see that there two's 7 left.

If there is an even number of numbers add the two middles and divide by 2

Thus,

7 + 7 = 14

14/2 = 7

Therefore, Median = 7.

-------------------------------------------------------------------------------------------------------------

According to the solving above we can conclude that:

Mean: 6.9 hours; Median 7 hours

-------------------------------------------------------------------------------------------------------------

xcookiex12

9/4/2022

#Learnwithxcookiex12

Answer: he will need to order 1 more new screens

Step-by-step explanation:

a mobile phone shop has discovered that 35% of all I phones XS screens sold last month are defective.

so probability of defective screen is

x=35/100   (let)

now since he sold 7 phones

so number  of defective screen can be

=x*7

=2.45

since defective screen cant be in decimal

so

taking into consideration that last screen have a chance of getting defective

so he would need 3 screen

he has 2 in stock

so he will need to order 1 more new screens

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she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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The lowest common multiple is 24, from this we conclude that you need to buy 3 sausage packages and 2 bun packages so you have the same number of sausages and buns.

Sausages come ni packages of 8, while buns come in packages of 12. So here we need to find the lowest common multiple between 8 and 12.

If we decompose these two numbers as a product of primes:

8 = 2*2*2

12 = 2*2*3

To have the lowest common multiple we need to multiply 12 by 2 and 8 by 3, then we get:

8*3 = 24

12*2 = 24

The lowest common multiple is 24, from this we conclude that you need to buy 3 sausage packages and 2 bun packages so yo have the same number of sausages and buns.

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Answer:

at this point just hack it

Answer:

B is correct

Step-by-step explanation:

three fifths= 6/10= 0.6

since the quantity is to a power of (2×x)=2x

so B is correct

Answer:5.42

Step-by-step explanation:maybe it is maybe is not

They should sell 106 taco pizzas in a day.

A percentage is a number or ratio expressed as a fraction of 100.

Given that, a pizza parlour is considering adding taco pizza and Hawaiian pizza to its menu, it surveyed a group of potential customers to find out what they thought,

They are making 78% of taco pizzas and 135 pizzas a day.

78% of 135 = 135*78 /100 = 106

Hence, They should sell 106 taco pizzas in a day.

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The Projection of "a" along "b" is [tex]\sqrt{20}[/tex] and the Projection of "b" on "a" is [tex]\frac{20}{\sqrt{29} }[/tex]

Given that a = 2i-3j +4k and b = 2i+4k

To find Projection,

Projection of "x" on "Y"=(X vector).(Y unit vecot)

Projection of "a" along "b" =  (a vector).(b unit vector)

Projection of "a" along "b" = ( 2i-3j +4k).([tex]\frac{2i+4k}{\sqrt{29} }[/tex])

Projection of "a" along "b" =[tex]\frac{4+16}{\sqrt{20} }[/tex]

Projection of "a" along "b" =[tex]\frac{20}{\sqrt{20} }[/tex]

Projection of "a" along "b" =[tex]\sqrt{20}[/tex]

Projection of "b" along "a" =  (b vector).(a unit vector)

Projection of "b" along "a" = ( 2i+4k).([tex]\frac{2i-3j +4k}{\sqrt{29} }[/tex])

Projection of "b" along "a" = [tex]\frac{20}{\sqrt{29} }[/tex]

Therefore,The Projection of "a" along "b" is [tex]\sqrt{20}[/tex] and the Projection of "b" on "a" is [tex]\frac{20}{\sqrt{29} }[/tex]

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Using exponential function, Correct answers are D and F. 8².8⁵ is equivalent to  8²⁺⁵,  8⁷

An exponential function is a mathematical function with the expression f (x) = ax. where x is a variable and an is a constant known as the function's base. The most common exponential-function base is the transcendental number e, or around 2.71828.

When the base is bigger than 1, the exponential function has the following characteristics.

The value of 8².8⁵ is  -

8²⁺⁵

8⁷,

Which is equivalent to 7 times 8.

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Answer:

  C)  P(1, -26/7)

Step-by-step explanation:

You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.

Each of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.

  P = (2A +5B)/(2+5)

  P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7

  P = (1, -26/7)

The coordinates of P are (1, -26/7).

The scale used on the map is 1 centimeter to 12.5 kilometers.

When we do a scale drawing of something in scale (like a map, that represents a given location) the dimensions suffer a change of scale.

This means that each unit on the scale drawing not represents the same unit on the original thing.

On this case we have a map where a actual distance of 50 kilometers is represented by a distance of 4cm (this means that each 4cm in the map are equivalent to 50 kilometers in the actual place).

Then the scale will be in cm to km, and to get the scale we can write:

4cm = 50km

Dividing both sides by 4 we get:

1cm = 50km/4 = 12.5 km

Then we conclude that the scale used for the map is 1 centimeter to 12.5 kilometers.

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Answer:

B. 306

Step-by-step explanation:

using pemdas you would do parenthesis, exponents, multiplication or division whatever comes first, and lastly addition or subtraction whatever comes first.

Answer: B

Step-by-step explanation:

Answer:

y = 0, one solution

Step-by-step explanation:

15y + 14 = 14 y + 14

-14y          -14y

y + 14 = 14

-14        -14

y = 0

so one solution

Answer:

4.57 meters

Step-by-step explanation:

Answer: 4.57 meters

Step-by-step explanation:

6 - 1.43 = 4.57 meters

Usando su concepto, se encuentra que hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.

Una probabilidad viene dada por el número de resultados deseados dividido por el número de resultados totales.

En este problema, hay que:

Asi:

p = 3/11 x 2/10 = 3/55

Hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.

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Answer:

1,077.281879 mg is the answer

Answer: Stand A

Step-by-step explanation:

A.

3/4 of a pound is $2

[tex]\frac{4}{3} x=2\\\\\x=\frac{2}{\frac{3}{4} } =\boxed{\frac{8}{3} \ or\ 2.66}[/tex]

Therefore one pound is $2.7 rounded

B.

[tex]\frac{5}{4} x=3.45\\\\x=3.45*\frac{4}{5} \\\\x=\boxed{2.76}[/tex]

Therefore one pound is $2.8 rounded

C.

[tex]\frac{11}{2} x=14.85\\\\x=14.85\times\frac{2}{11} \\\\x=\boxed{2.7}[/tex]

Therefore one pound is $2.7

The stand that sold tomatoes for the least expensive price per pound is Stand A because they sold theirs for $2.66 while the other stands sold them for more.

Answer:

5 2/3 months

Step-by-step explanation:

Divide 84.99 by 15.

84.99/15 = 5 2/3

Answer: 882.96

Step-by-step explanation:

The product of -16.98 and 5.2 is -88.296.

The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:

-16.98 * 5.2 = -88.296.

Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.

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(A) is false. By symmetry,

[tex]\displaystyle f(x) = \int_{-x}^x (|t|_t^2) e^{-t^2} \, dt = 2 \int_0^x (t-t^2) e^{-t^2} \, dt[/tex]

where [tex]|t|=t[/tex] since [tex]x>0[/tex]. Substitute [tex]s=t^2[/tex] to get the equivalent integral,

[tex]\displaystyle f(x) = \int_0^{x^2} (1 - \sqrt s) e^{-s} \, ds[/tex]

Then

[tex]\displaystyle f(x) + g(x) = \int_0^{x^2} e^{-s} \, ds[/tex]

[tex]\displaystyle f(\sqrt{\ln(3)}) + g(\sqrt{\ln(3)}) = \int_0^{\ln(3)} e^{-s} \, ds = \frac23 \neq \frac13[/tex]

(B) is false. Note that [tex]1+\alpha x[/tex] is linear so its derivative is the constant [tex]\alpha[/tex] at every point. We then have

[tex]{\psi_1}'(\alpha) = -e^{-\alpha}+1 = \alpha \implies 1-\alpha = e^{-\alpha}[/tex]

But this has no solutions, since the left side is negative for [tex]\alpha>1[/tex] and the right side is positive for all [tex]\alpha[/tex].

(C) is true. By the same reasoning as in (B), the line [tex]2x(\psi_1(\beta)-1)[/tex] has constant derivative, [tex]2\psi_1(\beta)-2 = 2e^{-\beta+2\beta-2[/tex]. Then

[tex]{\psi_2}'(\beta) = 2\beta-2+2e^{-\beta} = 2e^{-\beta}+2\beta-2[/tex]

holds for all values of [tex]\beta[/tex].

(D) is false. We use the first derivative test. By the fundamental theorem of calculus,

[tex]\displaystyle f(x) = 2 \int_0^x (t-t^2)e^{-t^2}\,dt \implies f'(x) = 2(x-x^2)e^{-x^2}[/tex]

Solve for the critical points.

[tex]f'(x) = 0 \implies x-x^2 = 0 \implies x = 0 \text{ or } x = 1[/tex]

[tex]e^{-x^2}>0[/tex] for all [tex]x[/tex], so the sign of [tex]f'[/tex] depends on the sign of [tex]x-x^2[/tex]. It's easy to see [tex]f'>0[/tex] for [tex]x\in(0,1)[/tex] and [tex]f'<0[/tex] for [tex]x\in\left(0,\frac32\right)[/tex]

The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.

Given the fraction [tex]\frac{1}{110}[/tex]

Recurring decimal:  

A repeating decimal, also known as a recurring decimal, is a decimal representation of a number whose digits are periodic (repeating at regular intervals) and whose infinitely repeated portion is not zero. It is possible to demonstrate that a number is rational if and only if its decimal representation repeats or terminates.

⇒[tex]\frac{1}{110}[/tex]=0.0090909090.....

Therefore,The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.

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Answer:

$200

Step-by-step explanation:

At 27% reduction, we pay 100%-27%=73% of the original price O.

73% * O = $146

O = $146 / 73%

O = $2 / 1%

O = $2 / (1/100) = $2 * 100 = $200

Answer:

$ 200

Step-by-step explanation:

27 % off means you pay 73%   ( or .73 in decimal)

.73 * x   = 146             x = original price

x = 146/.73 = $ 200

Answer:

x = 23 degrees

Because if you look at diagram x is vertical to angle FBC, and angle FEC and angle EBA are alternate interior angles so they are equal to each other, and AC is a straight line which means it equals to 180 degrees.

[tex]4x+65+x = 180[/tex]

x = 23 degrees

Answer:

answer should be A. 2⅖

Step-by-step explanation:

you can find out by turning it into an improper fraction: =5×2+2/5

=10+2/5

=12/5

Answer:

Henderson family spent 40 hrs, while Ramirez spent 15 hrs.

Step-by-step explanation:

Let t = time in hrs the Henderson family used their sprinkler

Let 55 - t = time in hrs the Ramirez family used their sprinkler.

40t+35*(55-t)=2125

40t+1925-35t=2125

calculcate this and you will get t=40.

then 55-40=15.

So, Henderson family spent 40 hrs, while Ramirez spent 15 hrs.