Find n from following equation

Hi,

f°g means :  apply first g then f . so calculate  "g" and then use result as "x" in f.  

g°f  means :   you apply first  f then g  

so :  f°g =    2(3x²-x) -5  =   6x²-2x- 5

To improve in math, you need practice. have a try with  g°f  :)

give the answer in comments, and I will tell you if you are correct.

good luck.

Answer:

18x + 24 or c

Step-by-step explanation:

1 8 + 2 4

this is the answer  

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

Answer:

x=6

Step-by-step explanation:

16*8=128

176-128=48

8*x should equal 48

8*6 makes 48 so x=6 makes this true

(answered 20. tell me if I need to answer both)

Answer:

what is sin^3A=3sinA-4sin^3A

Answer:

y = -3x + 9

Step-by-step explanation:

pretty much the slope is what is in front of the x.
the slope is rise of run and since it goes down by 3 every time x goes up by 1, the slope is -3.

The +9 is just what y is equal to when x is 0

Answer:

110

Step-by-step explanation:

5-5 cancel out

By the way, can you follow me on Brainly?

Thanks!

Answer:

uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator

The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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Answer:

4.29  (nearest hundredth)

Step-by-step explanation:

Given data set:

To find the mean absolute deviation:

Step 1

Calculate the mean:

\(\textsf{Mean}=\dfrac{15+5+12+14+18+16+4}{7}=12\)

Step 2

Calculate the absolute deviations - how far away each data point is from the mean using positive distances.

\(\begin{array}{c|c}\vphantom{\dfrac12} \sf Data \; point & \sf Distance \; from \; mean\\\cline{1-2} \vphantom{\dfrac12} 15 & |15-12|=3\\\vphantom{\dfrac12} 5 & |5-12|=7\\\vphantom{\dfrac12} 12 & |12-12|=0\\\vphantom{\dfrac12} 14 & |14-12|=2\\\vphantom{\dfrac12} 18 & |18-12|=6\\\vphantom{\dfrac12} 16 & |16-12|=4\\\vphantom{\dfrac12} 4 & |4-12|=8\end{array}\)

Step 3

Add the absolute deviations together:

\(\implies 3+7+0+2+6+4+8=30\)

Step 4

Divide the sum of the absolute deviations by the number of data points:

\(\implies \dfrac{30}{7}=4.29\)

Answer:

\(\mathbf{P(X < 9.85 \ or \ X> 10.15) \approx 0.3171}\)     to four decimal places.

\(\mathbf{P(X < 9.85 \ or \ X> 10.15) =0.0027}\)  to four decimal places.

Step-by-step explanation:

a)

Assuming X to be the random variable which replace the amount of defectives and follows standard normal distribution whose mean  (μ) is 10 ounces and standard deviation (σ) is 0.15

The values of the random variable differ from mean  by ±  1 \such that the values are either greater than (10+ 0.15) or less than  (10-0.15)

= 10.15 or  9.85.

The  probability that the amount of defectives which are either greater than 10.15 or less than 9.85 can be calculated as follows:

\(P(X < 9.85 \ or \ X> 10.15) = 1-P ( \dfrac{9.85-10}{0.15}< \dfrac{X-10}{0.15}< \dfrac{10.15-10}{0.15})\)

\(P(X < 9.85 \ or \ X> 10.15) = 1- \phi (1) - \phi (-1)\)

Using the Excel Formula ( = NORMDIST (1) ) to calculate for the value of z =1 and -1 ;we have: 0.841345 and 0.158655 respectively

\(P(X < 9.85 \ or \ X> 10.15) = 1- (0.841345-0.158655)\)

\(P(X < 9.85 \ or \ X> 10.15) =0.31731\)

\(\mathbf{P(X < 9.85 \ or \ X> 10.15) \approx 0.3171}\)     to four decimal places.

b) Through process design improvements, the process standard deviation can be reduced to 0.05.

The  probability that the amount of defectives which are either greater than 10.15 or less than 9.85 can be calculated as follows:

\(P(X < 9.85 \ or \ X> 10.15) = 1-P ( \dfrac{9.85-10}{0.05}< \dfrac{X-10}{0.05}< \dfrac{10.15-10}{0.05})\)

\(P(X < 9.85 \ or \ X> 10.15) = 1- \phi (3) - \phi (-3)\)

Using the Excel Formula ( = NORMDIST (3) ) to calculate for the value of z =3 and -3 ;we have: 0.99865 and 0.00135 respectively

\(P(X < 9.85 \ or \ X> 10.15) = 1- (0.99865-0.00135)\)

\(\mathbf{P(X < 9.85 \ or \ X> 10.15) =0.0027}\)  to four decimal places.

(c)  What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?

The main advantage of reducing the process variation is that the chance of getting the defecting item will be reduced as we can see from the reduction which takes place from a to b from above.

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:e-186

Step-by-step explanation:43-13=30 and then multiply 13x12 which is 156 and then add 30 to 156 and you get your answer

Answer:

Yes, she is almost done

Step-by-step explanation:

We can find the common denominator of these fractions, then add them.

1/3=4/12

1/4=3/12

Then we add the two, and round it up either up or down, depending if it is above 1/2. 6/12 is equal to 1/2, and 4/12+3/12 is 7/12 which is greater than 1/2, so she is almost done.

Answer:

Step-by-step explanation:

\(\Bigg\{ \begin{array}{ccc}2x-y+1&>&0\\x^2+2x-y-15&\leq &0\\\end {array} \right.\)

Answer:

0.74

Step-by-step explanation:

The middle age citizens are those in the age group of 18-55.

We solve this question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Mean 46 years

Standard deviation 13 years

For x = 18 years

z = 18 - 46/13

z = -2.15385

Probability value from Z-Table:

P(x = 18) = 0.015626

For x = 55 years

z = 55 - 46/13

= 0.69231

Probability value from Z-Table:

P(x = 55) = 0.75563

The probability that he/she is middle age is

P(x = 55) - P( x = 18)

= 0.75563 - 0.015626

= 0.740004

Approximately = 0.74

Step-by-step explanation:

a. Plug in -2 for x and 9 for f(x)

\(9 = 2( - 2) {}^{2} - ( - 2) - 1\)

\(9 = 8 + 2 - 1\)

\(9 = 9\)

Yes, the point is on the graph.

Plug in 2 for x and solve for y.

\(2(2) {}^{2} - 2 - 1 = 5\)

The points on there is (2,5)

c. Plug in -1 for y, solve for x.

\( - 1 = 2 {x}^{2} - x - 1\)

\(0 = 2 {x}^{2} - x\)

\(0 = x(2x - 1)\)

\(x = 0\)

\(0 = 2x - 1\)

\(x = \frac{1}{2} \)

The points on the graph are (1/2,-1) and (0,-1)

d. The domain of any quadratic is all real numbers or (-oo, oo)

e.

\(2 {x}^{2} - x - 1 = 0\)

\(2 {x}^{2} - 2x + x - 1 = 0\)

\(2x(x - 1) + 1(x - 1) = 0\)

\((2x + 1)(x - 1) = 0\)

\(x = - \frac{1}{2} \)

\(x = 1\)

The x intercepts are -0.5,1

The y intercepts are -1

Answer:

Laniece had 60 magazines

Step-by-step explanation:

Given: In the  first week, Tamia sold 30% more than Laniece. In the second  week, Tamia sold 12 magazines, but Laniece did not sell any. Tamia sold 50% more than Laniece by the end of the second  week

To find: Number of magazines sold by Laniece

Solution:

Let number of magazines sold by Laniece in the first week be x.

Number of magazines sold by Tamia in the first week = \(x+\frac{30}{100} x=\frac{130x}{100} =\frac{13x}{10}\)

Number of magazines sold by Tamia in the second week = 12

Total number of magazines sold by Tamia at the end of the second week = \(\frac{13x}{10}+12\)

Total number of magazines sold by Laniece at the end of the second week = x

According to question,

\(\frac{13x}{10}+12=x+\frac{50x}{100}=x+\frac{x}{2}\\\frac{13x}{10}+12=\frac{3x}{2}\\\frac{3x}{2}-\frac{13x}{10} =12\\\frac{15x-13x}{10}=12\\\frac{2x}{10}=12\\\frac{x}{5}=12\\x=60\)

Answer:

1/3000 or 0.000333....

Step-by-step explanation:

I think you mean 20mm / 60 m

1 mm = 0.001m

So the division becomes:

(0.001* 20) / 60

= 0.02 / 60

= 0.00033.....

or as a fraction it is

2/6000

=  1/3000.

The probability of the complement of the event is 0.05.

The complement of an event is the probability of that event not occurring. The relationship between the probability of an event and its complement is that they always add up to 1.

Therefore, if the probability of an event occurring is p, then the probability of its complement not occurring is 1-p.

In the case where the probability of an event is 0.95, the probability of its complement not occurring would be 1-0.95 = 0.05. This means that the probability of the complement of the event is 0.05.

This concept is important in probability theory and is used to calculate the probabilities of events and their complements. It allows us to consider all possible outcomes of a given situation and calculate the likelihood of each of them.

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The following equations shows an accurate step in the process is \(x=3(\sqrt{2}-2), x=-3(2+\sqrt{2})$$\).

What is quadratic formula?

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem. There are alternatives to utilizing the quadratic formula to solve quadratic equations, including factoring, completing the square, graphing, and others.

\($$x^2+12 x+18=0$$\)

Solve with the quadratic formula

\(x_{1,2}=\frac{-12 \pm \sqrt{12^2-4 \cdot 1 \cdot 18}}{2 \cdot 1}$$\)

\($$\begin{aligned}& \sqrt{12^2-4 \cdot 1 \cdot 18}=6 \sqrt{2} \\& x_{1,2}=\frac{-12 \pm 6 \sqrt{2}}{2 \cdot 1}\end{aligned}$$\)

Separate the solutions

\($$x_1=\frac{-12+6 \sqrt{2}}{2 \cdot 1}, x_2=\frac{-12-6 \sqrt{2}}{2 \cdot 1}$$\)

\(x=\frac{-12+6 \sqrt{2}}{2 \cdot 1}: \quad 3(\sqrt{2}-2)$$\)

\(x=\frac{-12-6 \sqrt{2}}{2 \cdot 1}: \quad-3(2+\sqrt{2})$$\)

The solutions to the quadratic equation are:

\(x=3(\sqrt{2}-2), x=-3(2+\sqrt{2})$$\)

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The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer:

119

Step-by-step explanation:

64 + 23 + 32

119 I think

Answer:

600 x 20 = 12000

Step-by-step explanation:

582 rounds to 600, and 23 rounds to 20.

The equation said the answer was equal to 12,000 and 600 multiplied by 20 equals 12,000.

Answer:

Step-by-step explanation:

By the property,

"Measure of the intercepted arc is double of the inscribed angle"

m(arc BC) = 2×48°

                = 96°

By using the same property,

m(arc AC) = 2 × m(∠B)

m(∠B) = \(\frac{110}{2}\)

          = 55°

m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]

48° + 55° + m(∠C) = 180°

m(∠C) = 180° - 103°

          = 77°

m(arc AB) = 2 × (m∠C)

                = 2×77

                = 154°

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

The number itself equals any integer raised to the power of one.

What is Exponent?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.

What is integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.

Any number that is multiplied by one has the same value as the original number, according to the exponent rule.

Take this as an example:

You can write x to the power of 1 as x and 100 to the power of 1 as 100.

Therefore, anything raised to the power of one equals that number.

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