Solve the following equations for x

13−(2x+2)=2(x+2)+3x

Answer: D. [tex]y=\frac{1}{9} x^{2}[/tex]

Step-by-step explanation: The smaller the coefficient of a fraction by the quadratic function (the x squared value), the more narrow the graph becomes. 1/4 is larger than 1/9 and the other two whole numbers are still larger than 1/9. Even though -1 is less than 1/9, this only makes the graph flip, not make it any more narrow. Fractions are what squeeze graphs, negatives do not make a difference (i.e. -1/4 is the same size of narrowness as 1/4).

Answer:

a) Upper Control Limit = 0.10

   Lower Control Limit = 0.01

b) The tech assistance process is stable and in control.

Step-by-step explanation:

Given - After a number of complaints about its tech assistance, a

            computer manufacturer examined samples of calls to determine

            the frequency of wrong advice given to callers. Each sample

            consisted of 100 calls.

SAMPLE             1   2   3   4   5   6   7   8   9  10 11 12 13 14 15 16

Number of errors 5  3   5   7   4   6   8   4   5    9   3   4   5   6   6   7

To find - a. Determine 95 percent limits.

              b. Is the tech assistance process stable (i.e., in control)

Proof -

z = 95% confidence interval

  = 1.96

⇒z = 1.96

Proportion of defects,P = total defectives/total observations

                                     = 0.0544

⇒P = 0.0544

Now,

Q = 1-P

   = 0.9456

⇒Q = 0.9456

Now,

Average sample size, N = 100

Standard deviation = [tex]\sqrt{\frac{P.Q}{N} }[/tex]

                             = 0.0227

Now,

Upper Control Limit = P + z(Standard deviation)

        = 0.0988

⇒Upper Control Limit = 0.0988 ≈ 0.10

And

Lower Control Limit = P - z(Standard deviation )

       = 0.0099

⇒Lower Control Limit = 0.0099 ≈ 0.01

∴ we get

Upper Control Limit = 0.10

Lower Control Limit = 0.01

b.)

Now,

it is clear that the fraction defective values are wit in upper an lower control limits.

So, The tech assistance process is stable and in control.

Answer:

12

Step-by-step explanation:

Add 15 and 9 together, then divide by 2!

Answer:

It landed at a height of 14 feet

Step-by-step explanation:

Given

[tex]y = -\frac{1}{8}x^2 +4x[/tex] --- Path of a t-shirt

[tex]3y = 2x - 14[/tex] --- height of bleachers

Required

Height when t-shirts land in bleachers

[tex]3y = 2x - 14[/tex]

Make y the subject

[tex]y = \frac{2}{3}x - \frac{14}{3}[/tex]

Substitute [tex]y = \frac{2}{3}x - \frac{14}{3}[/tex] in  [tex]y = -\frac{1}{8}x^2 +4x[/tex]

[tex]\frac{2}{3}x - \frac{14}{3} = -\frac{1}{8}x^2 +4x[/tex]

Multiply through by 24

[tex]16x- 112 = -3x^2 +96x[/tex]

Express as:

[tex]3x^2 + 16x -96x- 112 = 0[/tex]

[tex]3x^2 -80x- 112 = 0[/tex]

Using a calculator:

[tex]x = 28[/tex] or [tex]x = -\frac{4}{3}[/tex]

x can not be negative:

So:

[tex]x = 28[/tex]

Substitute [tex]x = 28[/tex] in [tex]y = -\frac{1}{8}x^2 +4x[/tex] to calculate the height it landed

[tex]y = -\frac{1}{8} * 28^2 + 4 * 28[/tex]

[tex]y = 14[/tex]

Answer:

a=20 m²

b=21 cm²

c=36 dm²

Step-by-step explanation:

A) 12²+16²=a²

144+256=a²

400=a²

√400=a

a=20

B) 28²+b²=35²

784+b²=1225

b²=1225-784

b²=441

b=√441

b=21

C) c²+15²=39²

c²+225=1521

c²=1296

c=√1296

c=36

Answer:

x1 = y1 - a*y2 + (a*c - b)*y3

x2 = y2 - c*y3

x3 = y3

Step-by-step explanation:

Here we have the system:

x1 + a*x2 + b*x3 = y1

x2 + c*x3 = y2

x3 = y3

Where the variables y1, y2, and y3 are known (a, b and c are also known).

The first step is to isolate one of the variables in one of the equations, we can see that in the third equation we have x3 already isolated, so now we can just replace it on the other two equations to get:

x1 + a*x2 + b*(y3) = y1

x2 + c*(y3) = y2

Now we again want to isolate one of the variables in one of the equations, i will isolate x2 in the second equation to get:

x2 = y2 - c*y3

Now we can replace this on the other equation to get:

x1 + a*(y2 - c*y3) + b*y3 = y1

Now we canw write x1 in terms of the known variables:

x1 = y1 - a*y2 + (a*c - b)*y3

And in the process we also found that:

x3 = y3

x2 = y2 - c*y3

Then the solutions are:

x1 = y1 - a*y2 + (a*c - b)*y3

x2 = y2 - c*y3

x3 = y3

Answer:

there are 8 blue socks

Step-by-step explanation:

28 / 4 = 7

multiply 2/7 by 4 and you get 8/28

Answer:

b/38,304

Step-by-step explanation:

when you multiple 252 times 157 you will get 38,304.

Answer:

0.2835 = 28.35% probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals

Step-by-step explanation:

Mean during a time period means that we use the Poisson distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

It is estimated that an average person makes four visits a year to doctors' offices and hospitals.

A year has 12 months, which means that the monthly mean is [tex]\mu = \frac{4}{12} = \frac{1}{3}[/tex]

What is the probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-(\frac{1}{3})}*(\frac{1}{3})^{0}}{(0)!} = 0.7165[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7165 = 0.2835[/tex]

0.2835 = 28.35% probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals

Answer:what is this

Step-by-step explanation:

93 rats can be anticipated in the park now.

In 2015, there were 310 rats that were counted living in a park.
the rats and the population decreased by 70%

percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.

Since rat decreased by 70 %,

= 310 x 70 / 100
= 217
Now the decrease in rats = 310 - 217
anticipated rats in the park  = 93

Thus the 93 rats can be anticipated in the park now.

Learn more about percentage here:

brainly.com/question/13450942

#SPJ2

Answer: x = 5, x = -5  If you need more....

x = [tex]5^{1}[/tex]

x = [tex]\sqrt{25}[/tex]

Answer:

-2, 16

Step-by-step explanation:

Answer:

X+4

Step-by-step explanation:

length times width = area

(X+7)(X-4) = x^2 +3x-28

Answer:

they are not parallel

Step-by-step explanation:

Given the equations -3x – 3y = 1 and -3x – 4y = 5

Get the slope of each line

REwrite in the form y = mx+c

For the line -3x-3y = 1

-3y = 3x + 1

y = 3x/-3 + 1/-3

y = -x - 1/3

Slope m = -1

For the line -3x - 4y = 5

-4y = 3x + 5

y = -3/4 x - 5/4

Slope of the line is -3/4

Hence since both lines have different slopes, they are not parallel

Answer:

n = -5 or -6

Step-by-step explanation:

[tex]n^2+ 11n + 30 = 0[/tex]

Lets factorise the quadratic equation :-

→ Lets split the middle term of the equation.

[tex]=> n^2 + 5n + 6n + 30 = 0[/tex]

→ Lets take 'n' common from the first 2 terms & '6' common from last 2 terms.

[tex]=> n(n + 5) + 6(n + 5) = 0[/tex]

→ Lets take (n + 5) whole in common from the equation.

[tex]=> (n + 5)(n + 6) = 0[/tex]

Here , we get 2 values of n :-

1) [tex]n + 5 = 0[/tex]

[tex]=> n = -5[/tex]

2) [tex]n + 6 = 0[/tex]

[tex]=> n = -6[/tex]

∴ Hence , n = -5 or -6

Answer:

Step-by-step explanation:

35.7826087

I'm guessing you want it estimated to the nearest tenth so 35.8

Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

[tex](x,y)\to (-(x-a)+a,y)[/tex]

[tex](x,y)\to (-x+a+a,y)[/tex]

[tex](x,y)\to (2a-x,y)[/tex]

The triangle after a reflection over x = -3. So, the rule of reflection is

[tex](x,y)\to (2(-3)-x,y)[/tex]

[tex](x,y)\to (-6-x,y)[/tex]

The vertices of triangle after reflection are

[tex]R(3,7)\to R'(-6-3,7)[/tex]

[tex]R(3,7)\to R'(-9,7)[/tex]

Similarly,

[tex]S(-5,-2)\to S'(-6-(-5),-2)[/tex]

[tex]S(-5,-2)\to S'(-6+5,-2)[/tex]

[tex]S(-5,-2)\to S'(-1,-2)[/tex]

And,

[tex]T(3,-5)\to T'(-6-3,-5)[/tex]

[tex]T(3,-5)\to T'(-9,-5)[/tex]

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

Answer:

One pound can be written as 1.0 pounds, and moving the decimal place one place to the left gives you 0.10 pound, which is equal to one tenth of a pound. Convert 16 oz. to one sixteenth of an ounce by moving the decimal one place to the left.

Answer:

x=55 degrees

DOE = 117 Degrees

Step-by-step explanation:

You know EOF is equal to COD so you can say

x+8=63

x+8-8=63-8 (subtract 8 from both sides)

x=55 degrees

Next

63 and DOE add up to 180

DOE = 180-63

DOE = 117 Degrees

Answer:

3

Step-by-step explanation:

Answer:

The answer is....

The volume of a cylinder is 2462 feet³.

Please give Brainly

Step-by-step explanation:

Answer:

37.68 cubic inches

Step-by-step explanation:

V=pi*r^2*h

V=3.14*2^2*3

7)  28/80

because it’s being multiplied by 2

6) 60/ 64

because it’s being multiplied by 4

Answer:

Amelia is 264 inches

Step-by-step explanation:

do 22 ×12 because at birth she was 22 inches and now she is 12 months.

Answer:

4.8/5%=b

Step-by-step explanation:

4.8/5%=96

$96 was the total cost