Each side of the square below is 20 centimeters. The area of the circle inside the square is about 314 square centimeters. A circle inside of a square. The circle touches all sides of the square. What is the probability that a point chosen at random in the square is in the shaded region? StartFraction 43 over 200 EndFraction StartFraction 43 over 157 EndFraction StartFraction 157 over 200 EndFraction StartFraction 200 over 157 EndFraction

Answer:

29/9 3.2222222 repeating

301/20 15.05 terminating

-53/10 -5.3 terminating

Step-by-step explanation:

multiply the denominator by the whole number then add the numerator. put it over the denominator.

example:

9 x 3 = 27 + 2 = 29

29/9

divide to find decimal

terminating if there is an end, repeating if it’s the same number over and over

Answer:

The time that the rocket will hit the ground will be:

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)\:=-16x^2+272x+110[/tex]

Here:

We know that when the rocket will hit the ground, the height will get y = 0

i.e.

[tex]0\:=-16x^2+272x+110[/tex]

solving for x to determine the time that the rocket takes when it will hit the ground.

so

[tex]-16x^2+272x+110=0[/tex]

subtract 110 from both sides

[tex]-16x^2+272x+110-110=0-110[/tex]

[tex]-16x^2+272x=-110[/tex]

Divide both sides by -16

[tex]\frac{-16x^2+272x}{-16}=\frac{-110}{-16}[/tex]

[tex]x^2-17x=\frac{55}{8}[/tex]

[tex]\mathrm{Add\:}\left(-\frac{17}{2}\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{55}{8}+\left(-\frac{17}{2}\right)^2[/tex]

[tex]x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{633}{8}[/tex]

[tex]\left(x-\frac{17}{2}\right)^2=\frac{633}{8}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-\frac{17}{2}=\sqrt{\frac{633}{8}}[/tex]

[tex]x=\frac{\sqrt{1266}}{4}+\frac{17}{2}[/tex]

x = 17.40 seconds

also solving

[tex]x-\frac{17}{2}=-\sqrt{\frac{633}{8}}[/tex]

[tex]x=-\frac{\sqrt{1266}}{4}+\frac{17}{2}[/tex]

x = -0.40 seconds

As time can not be negative.

Thus, the value of x = 17.40 seconds

Therefore, the time that the rocket will hit the ground will be:

Answer:

I believe it is 4 billion

Step-by-step explanation:

Hope I helped!

Answer:

x^2 + 2x - 15

Step-by-step explanation:

Just foil out the terms and you end up with your answer, there isn't much work to actually show here. Hope this helped!

Answer:

[tex]5x^2-5x-6x+6[/tex]

Step-by-step explanation:

[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]

we need to factorize it so the X-term expanded should satisfy two conditions

1) +5 times +6 should be +30

2) add or subtract any two numbers which multiply and give -11

so here -5 times -6 gives +30 and -5 added to -6 equals -11

Answer:

-3x-14xy+15

Step-by-step explanation:

[tex](8-9xy+3x^2-5x)-(3x^2-2x+5xy-7)\\\\=8-9xy+3x^2-5x-(3x^2)-(-2x)-(5xy)-(-7)\\\\=8-9xy+3x^2-5x-3x^2+2x-5xy+7\\\\=(8+7)+(-9xy-5xy)+(3x^2-3x^2)+(-5x+2x)\\\\=15-14xy+0-3x\\\\=-3x-14xy+15[/tex]

Answer:

8 hours

Step-by-step explanation:

70-10

60÷7.50= 8 hours

Answer:

Matthews average speed was 62 miles per hour.

Step-by-step explanation:

We know that Matthew drove 15 1/2 miles in 1/4 of an hour. We want to know how many miles Matthew drove every hour. To solve this problem, multiply 15 1/2 by 4.

15 1/2 x 4 = 62

Therefore, Matthews average speed was 62 miles per hour.

Hope this helps! :D

Answer:

1bobux+3bobux= 4bobux

Step-by-step explanation:

Answer:

it's 4 bobux ;))

Answer:

It means that your slope (-x), is equal to -1, and your Y-intercept is 3. It is the equation y=-1x+3.

Step-by-step explanation:

Answer:

8.10800472E59

Step-by-step explanation:

:))

Answer:

4.2673711e+60

Answer:

m= -1

Step-by-step explanation:

slope is -1

Answer:

the ratio is 4/5

Step-by-step explanation:

27 pennies all together. just divide the number of each group by the same thing till you no longer get a whole number. like 3÷12 and 3÷15. Do it till you get the smallest whole number for each

Answer:    The percent error is -2.1352% of Jocelyn's estimate.

Answer:

Time      distance      miles per hour

1              55                55

1/2          27.5              55

1 1/2       82.55            55

2             110                55

Answer:

red

Step-by-step explanation:

Answer:

red

Step-by-step explanation:

The y-intercept is -2 and the slope is 3/1. so you start on the y-axis at -2 and move up 3 to the right one.

Answer:

3 is the right one

Step-by-step explanation:

Answer:

7.96 inches

Step-by-step explanation:

[tex]2\pi r = 50\\r = 50/(2\pi )\\r = 7.96[/tex]

hope this helped!

Answer:

A is correct

Step-by-step explanation:

b has a negative value cause it's before 0

but -b will become a positive value thus >0

example:

b is -1

-b = -(-1)

= 1

hope you understand

Answer:

⇨ Choice A.

Step-by-step explanation:

We'll consider three choices and compare the answers with the given number line and points.

⟺ Choice A

This is the correct answer and here is why.

[tex]-b>0[/tex]

Solving Inequality is similar to solving equation. The difference is if the coefficient for the variable is in negative, moving to another side would swap the sign/operator of Inequality.

Thus, our new Inequality would be [tex]b<0[/tex] which is true by the number line itself.

⟺ Choice B

The reason why choice B is not correct because the point a is lesser than the point b. It's obvious that point a cannot be greater than point b.

⟺ Choice C

The reason why choice C is not correct because if we solve the Inequality.

[tex]-b<-c[/tex]

We can either solve for b-term or c-term, the outcome would be the same. I'll solve for both terms.

⇨ Solve for b-term

[tex]-b<-c\\b>\frac{-c}{-1}\\b>c[/tex]

Also remember that moving a negative coefficient would swap the sign/operator of Inequality.

⇨ Solve for c-term

[tex]-b<-c\\\frac{-b}{-1}>c\\b>c[/tex]

As b>c is not true in the number line. We notice that c point is greater than b point.

Thus, the clear answer is A choice.  

Answer:

-8 = x

Step-by-step explanation:

Answer:

8 to 15

Step-by-step explanation:

2 feet times 12 inches is 24 and it is to 45 inches. You then need to simplify 24 and 45 by 3 to get 8 and 15 and to get the ratio 8 to 15.

Hope this helps!

Answer:

Tamara should substitute k = 30 into the equation 39 + 2 k = 69

Step-by-step explanation:

or you can do 69-39=30 so k=30

Answer:

A, C, F

Step-by-step explanation:

just trust me bruv.

[tex]\\ \sf\longmapsto \left(\dfrac{7}{\cancel}8}}\right)\cancel{(-16)}\cancel{(-7)}\left(\dfrac{-1}{\cancel{14}}\right)[/tex]

[tex]\\ \sf\longmapsto 7(-2)(-1)(-1/2)[/tex]

[tex]\\ \sf\longmapsto -14(-1)(-1/2)[/tex]

[tex]\\ \sf\longmapsto -14/2[/tex]

[tex]\\ \sf\longmapsto -7[/tex]

Answer:

b. The standard deviation for class 1 is approximately 18.81415

The standard deviation for class 2 is approximately 16.1527

The standard deviation for class 3 is approximately 12.705

c. The mean of the data indicates that the average scores of Class 1 and Class 2 are equal and less than the average score of Class 3

The standard deviation indicates that the data in Class 1 varies more than the data in Class 2, and also, that the data of Class 2 varies more than the data of Class 3.

Step-by-step explanation:

b. The mean and the standard deviation can be calculated using Microsoft Excel with the values presented here as results as follows;

The standard deviation, σ is given by the formula [tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex], while the formula mean, μ is [tex]\mu = \dfrac{\Sigma x}{N}[/tex]

Where;

N = The number of terms = 12

∑x = 946 for Class 1, 953 for Class 2, 953 for Class 3

The mean for Class 1 = ∑x for Class 1/N = 946/12 = 78.8[tex]\bar 3[/tex]

The mean for Class 2 = ∑x for Class 2/N = 953/12 = 79.41[tex]\bar 6[/tex]

The mean for Class 3 = ∑x for Class 3/N = 953/12 = 79.41[tex]\bar 6[/tex]

[tex]\sum \left (x_i-\mu \right )^{2} }[/tex] for Class 1 = 4247.[tex]\bar 6[/tex]

[tex]\sum \left (x_i-\mu \right )^{2} }[/tex]/N = for Class 1 = 353.97[tex]\bar 2[/tex]

The standard deviation for class 1 σ₁, is given as follows;

[tex]\sigma_1 =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}} = \sqrt{353.97\bar 2 } \approx 18.81415[/tex]  

The standard deviation for class 1 = 18.81415

[tex]\sum \left (x_i-\mu \right )^{2} }[/tex] for Class 2 = 3130.9167

[tex]\sum \left (x_i-\mu \right )^{2} }[/tex]/N = for Class 2 = 260.90972

The standard deviation for class 2 σ₂, is given as follows;

[tex]\sigma_2 =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}} \approx \sqrt{260.90972 } \approx 16.1527[/tex]

The standard deviation for class 2 = 16.1527

[tex]\sum \left (x_i-\mu \right )^{2} }[/tex] for Class 3 ≈ 1936.917

[tex]\sum \left (x_i-\mu \right )^{2} }[/tex]/N = for Class 3 ≈ 161.4097222

The standard deviation for class 3 σ₃, is given as follows;

[tex]\sigma_3 =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}} \approx \sqrt{161.40972 } \approx 12.705[/tex]

The standard deviation for class 3 ≈ 12.705

c. The mean indicates that the average score for Class 1 is higher than the average score for Class 2, and that the average score for Class 2 is the same as the average score for Class 3

However, the standard deviation indicates that the variability of the scores for Class 1 is higher than the variability of the scores for Class 2, and that there is also a higher variability in the scores of Class 2 than the variability in the scores of class 3

Description:

To calculate a percent of a number you must find the total amount or the whole number.

After that Divide the number that you wish to determine the percentage for

Then multiply the value from step two by 100.

To find the percent that is equivalent:

Firstly multiply the decimal number times number 100.

Then add to the answer to the % character.

In this case the answer is 4 percent.

Answer: 4 percent

Hope this helps.

Answer:

(x+4)

Step-by-step explanation:

Answer:

My answer was 0.0338983, 29 remainder 7

Step-by-step explanation:

Answer:

dont u have the answer

Step-by-step explanation: