Error Analysis A math test asks the students to solve the inequality X-2<16, and then graph the
solutions. Mason said the solutions are x < 14 and graphed the solutions as shown below. Solve
the inequality and graph the solutions. What error might Mason have made?
What are the solutions?
​

Answer:

It should be 222

Step-by-step explanation:

Answer:

222

Step-by-step explanation:

3x^3+2x^2-2x+6

x=4

=3(4)^3+2(4)^2-2(4)+6

=192+32-8+6

=224-2

=222

Answer: choice B

Step-by-step explanation:

50C40

=50C10

=50!/40!*10!

Answer:

=x^2+7x+10

Step-by-step explanation:

Simplify: xx+5x+2x+2.5: x+7x+10

Add similar elements: 5x+2x= 7x

=xx+7x+2.5

xx=x2

2.5=10

=x+7x+10

Answer: =x^2+7x+10

Hope this helps.

Answer:

Lance would need 3.125 gallons of water.

Step-by-step explanation:

Divide the value by 16

After converting the volume into gallons, Lance needs 3.125 gallons of water for the runners in a race.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Lance needs 50 cups of water for the runners in a race.

We know that;

⇒ 1 gallons = 16 cups

⇒ 1 cups = 1/16 gallons

Here, Lance needs 50 cups of water for the runners in a race.

Hence, We get;

⇒ 50 cups = 50 × 1/16 gallons

                 = 3.125 gallons

Learn more about the divide visit:

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Answer:

67 feet^2

Step-by-step explanation:

Surface Area = 2×(4×2.6 + 4×3.5 + 2.6×3.5) = 67 feet^2

Answer:

67 feet^2

Step-by-step explanation:

Surface Area = 2×(4×2.6 + 4×3.5 + 2.6×3.5) = 67 feet^2

Answer:

A. G(x) = x - 9

Step-by-step explanation:

For the function F(x) to shift right, there needs to be a negative number being subtracted. In this case, only answer "A," fits. This is because 9 is being subtracted, making the function shift to the right 9 units.

Answer:

Step-by-step explanation:

ported that 22% of adults in France admitted to texting or e-mailing while driving. A random sample of 110 French adults was randomly selected. What is the probability that 26

Using a binomial distribution with mean = n*p = 110*0.22 = 24.2 and variance = n*p*(1-p) = 24.2*(1-0.22) = 18.876

Approximating it to a normal distribution,

[tex]P(x\geq 26)\\\\=P(Z\geq \frac{26-24.2}{\sqrt{18.876} } )\\\\=P(Z\geq 0.41)\\\\=0.3481[/tex]

Answer:

4 - 5

Step-by-step explanation:

square root of 20 is 4.472135955 therefore the two whole numbers it is between are 4 and 5.

Answer:

26 lb is 11.8 kg.

Step-by-step explanation:

A pound (lb) is a unit of mass used in the imperial and US customary systems of measurement.

A kilogram (kg) is the base unit of mass in the International System of Units (SI).

To convert 26 lb to kg.

First, use the conversion factor between pounds and kilograms.

1 kg = 2.2046 lb

Next, write the following equation to find the weight in kg:

weight in kg = weight in lb x (1 kg / 2.2046 lb)

The pounds cancel out, leaving kilograms.

weight in kg = 26 lb x (1 kg / 2.2046 lb)

weight in kg  = 11.7935 kg

Rounding to the nearest tenth.

weight in kg  = 11.8 kg

Answer:

Step-by-step explanation:

Given the cost of a car to be RS 1,000,000, if the car depreciates yearly by 5%, then the insurance premium paid which is the operating expenses eacg year will be calculated as thus;

In the first year;

insurance premium paid = 5% of RS 1,000,000

= 5/100 * 1,000,000

= RS50,000

cost of the car after the first year of usage = 1,000,000-50,000

= RS 950,000

In the second year;

Insurance premium paid in the second year = 5% of RS 950,000

= 5/100 * 950,000

= 5*9,500

= RS 47,500

cost of the car at the end of second year = 950,000-47,500 = RS 902,500

In the third year;

Insurance premium paid in the third year = 5% of RS 902,500

= 5/100 * 902,500

= 5*9,025

= RS 45,125

Answer:

Center is [tex](-12,9)[/tex]

Step-by-step explanation:

Given: Equation of a circle is [tex](x+12)^2+(y-9)^2=35[/tex]

To find: center of the circle

Solution:

A circle is a locus of all points which are at equidistant from the fixed point (center).

Equation of a circle is of form [tex](x-a)^2+(y-b)^2=r^2[/tex] where [tex](a,b)[/tex] represents center of the circle and r denotes radius of the circle.

Given equation is [tex](x+12)^2+(y-9)^2=35[/tex]

[tex]\left [ x-(-12) \right ]^2+(y-9)^2=35[/tex]

Compare this equation with [tex](x-a)^2+(y-b)^2=r^2[/tex]

Center is [tex](a,b)=(-12,9)[/tex]

Answer:

The raidus is 5.92

Step-by-step explanation:

Answer:

The maximum possible error of in measurement of the angle is  [tex]d\theta_1 =(14.36p)^o[/tex]

Step-by-step explanation:

From the question we are told that

    The angle of elevation  is  [tex]\theta_1 = 15 ^o = \frac{\pi}{12}[/tex]

     The height of the tree is  h

      The distance from the base is  D

h is mathematically represented as

            [tex]h = D tan \theta[/tex]       Note : this evaluated using SOHCAHTOA i,e

                                               [tex]tan\theta = \frac{h}{D}[/tex]

Generally for small angles the series approximation of  [tex]tan \theta \ is[/tex]

          [tex]tan \theta = \theta + \frac{\theta ^3 }{3}[/tex]

So given that [tex]\theta = 15 \ which \ is \ small[/tex]

       [tex]h = D (\theta + \frac{\theta^3}{3} )[/tex]

       [tex]dh = D (1 + \theta^2) d\theta[/tex]

=>        [tex]\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta[/tex]

Now from the question the relative error of height should be at  most

        [tex]\pm p[/tex]%

=>    [tex]\frac{dh}{h} = \pm p[/tex]

=>    [tex]\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p[/tex]

=>      [tex]d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p[/tex]

 So  for   [tex]\theta_1[/tex]

            [tex]d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p[/tex]

substituting values  

          [tex]d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p[/tex]

 =>       [tex]d\theta_1 = 0.25 p[/tex]

Converting to degree

           [tex]d\theta_1 = (0.25* 57.29) p[/tex]

            [tex]d\theta_1 =(14.36p)^o[/tex]

Answer:

YG, YT, YU, BG, BT, BU, WG, WT and WU

Step-by-step explanation:

The sample space are all the posibles options that you can take, so the sample space in these case is:

YG, YT, YU, BG, BT, BU, WG, WT and WU

Where, for example, YG means that you choose Yellow for your game room and Green for your entertainment center and BU means that you chosse Yellow for your game room and Unfinished for your entertainment center.

Answer:

1/4n-2=10

Step-by-step explanation:

Answer:

The probability that both are red is [tex]P(red\:and \:red)=\frac{45}{946}\approx0.04756\approx4.756\%[/tex].

Step-by-step explanation:

Probability is simply how likely something is to happen and its given by

Probability of an event = (# of ways it can happen) / (total number of outcomes)

Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.

                                     [tex]P(A\:and\: B)=P(A)\cdot P(A|B)[/tex]

At our first pull, there is an [tex]P(red)=\frac{10}{10+34}[/tex] chance that a red will be pulled.

At the second pull there is a [tex]P(red)=\frac{9}{9+34}[/tex] chance that the second marble will be red.

Therefore, the probability that both are red is

[tex]P(red\:and \:red)=\frac{10}{10+34}\cdot \frac{9}{9+34}=\frac{45}{946}\approx0.04756\approx4.756\%[/tex]

Answer:

Like for black lives

Step-by-step explanation:

black lives matter yeahhhhhh

Answer:

√10 / 10

Step-by-step explanation:

tan θ > 0 and sin θ < 0, so θ is in quadrant III.  That means cos θ < 0.

cos(θ + π/4)

Use angle sum formula.

cos θ cos(π/4) − sin θ sin(π/4)

½√2 cos θ − ½√2 sin θ

Factor.

½√2 cos θ (1 − tan θ)

½√2 cos θ (1 − 2)

-½√2 cos θ

Write in terms of secant.

-½√2 / sec θ

Use Pythagorean identity (remember that cos θ < 0).

-½√2 / -√(1 + tan²θ)

-½√2 / -√(1 + 2²)

½√2 / √5

√10 / 10

Answer:

Step-by-step explanation:

Volume of a triangular based prism = [tex]Base\ area * height[/tex]

Base area = Area of the triangle = 1/2 * base of the triangle * height of the triangle

Since the  triangular base has dimensions of 3" by 4" by 5", then it is a right angled triangle with base of 4in and height of 3in

Base Area = 1/2 * 3 * 4

Base Area = 6in²

Substituting the volume and the base area value in the formula to get the height of the prism we have;

210 = 6H

H = 210/6

H = 35in

Surface area of the triangular prism = bh + pH

b= base of the triangle  = 4in

h- height of the triangle  = 3in

p= perimeter of the triangle  = 3+4+5 = 12in

H= height of the prism = 35in

Surface area of the triangular prism = 4(3)+12(35)

Surface area of the triangular prism = 12+420in

Surface area of the triangular prism = 432in²

Answer:

Answers are below

Step-by-step explanation:

10a) Find how many multiples of 3 there are       4/12 = 1/3

10b) Find how many factors of 12 there are         6/12 = 1/2

10c) Find how many prime numbers there are    5/12

10d)                                                                         3/12 = 1/4

10e) Find how many numbers are less than 12   11/12

Answer:

(y-6)(y-6)

Step-by-step explanation:

y^2 - 12y + 36= y^2-2*6y+6^2= (y-6)^2= (y-6)(y-6)

Answer:

[tex](y-6)(y-6)[/tex]

Step-by-step explanation:

[tex]y^2 - 12y + 36[/tex]

[tex]y^2-6y-6y+36[/tex]

[tex]y(y-6)-6(y-6)[/tex]

[tex](y-6)(y-6)[/tex]

Answer:

Step-by-step explanation:

This is a hypothesis testing involving population proportion. The null hypothesis would be that fewer than or 50% of the people would favor spending money for a sewer system. Since she will vote to appropriate funds only if she can be reasonably sure that a majority of the people in her district favor the measure, then the alternative hypothesis which she should test is that more than 50% of the people would favor spending money for a sewer system.

Answer:

12.49 ft²

Step-by-step explanation:

The straight parts of P are both r,

So 2r + 2πr / 4 = 14.28

r (2 + π/2) = 14.28

r = 14.28 / 3.57 = 4

the area will be πr²/4 ≈ 12.56 ft²

Answer: 12.56 ft²

Step-by-step explanation:

Perimeter of a circle is known as the circumference.

C = 2π·r   where r is the radius.

Perimeter of the curve of the quarter circle + both sides

[tex]Perimeter=\dfrac{1}{4}Circumference+2\ sides\\\\\\P = \dfrac{1}{4}2\pi \cdot r+2r\\\\\\14.28=\dfrac{\pi\cdot r}{2}+2r\\\\\\28.56=\pi \cdot r+4r\\\\\\28.56=r(\pi +4)\\\\\\\dfrac{28.56}{\pi +4}=r[/tex]

A = π·r²

[tex]\dfrac{1}{4}A=\dfrac{1}{4}\pi \cdot r^2\\\\\\.\quad =\dfrac{1}{4}\pi \bigg(\dfrac{28.56}{\pi +4}\bigg)^2\\\\\\.\quad =\dfrac{1}{4}(3.14)\bigg(\dfrac{28.56}{7.14}\bigg)^2\\\\\\.\quad = \large\boxed{12.56}[/tex]

Answer:

Options C, D

Options E, 1

Step-by-step explanation:

The cited value 5% is part of the observational distribution of the diet

The cited value 9% is part of the experimental distribution of diet choice, given ethnicity

The math symbol that represent the 5% is P- the population proportion.

Answer:

pHotOsPHerE

Step-by-step explanation:

Answer:

Photosphere

Step-by-step explanation:

Answer:

OK so we can see that when x increases y does too. The answer is C

Answer:

X=8

Step-by-step explanation:

3x+ 6 = 5x -10

6+10=5X-3X

16=2X

X=8

Answer:

Check the answer. 1. ... 5 times a number plus 8 is equal to 3 times the number minus 4. 7 times a ... Twice a number is equal to 5 times the sum of the number and 6. The product ... If the equation is an identity, write the answer as “All real numbers.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

10 for each for their being in the tens place, and ten for the ones place.