Solve for xxx. Your answer must be simplified. \dfrac x{-6}\geq-20 −6 x ​ ≥−20

Answer:

C )  circle

This equation represents circle

    x²-2 x+y²+4 y  - 31 =0

Step-by-step explanation:

Explanation:-

let P(x₁ , y₁) be the locus point

Let P(x₁ , y₁) and A(1,-2)

Given data PA = 6

                 PA² = 6²

  ( x₁ -1 )²+(y₁+2)² = 36

  x₁²-2 x₁+1+y₁²+4 y₁ +4 = 36

  x₁²-2 x₁+y₁²+4 y₁  = 36-5

  x₁²-2 x₁+y₁²+4 y₁  - 31 =0

This equation represents circle

    x²-2 x+y²+4 y  - 31 =0

Answer:

Circle, (C)

Step-by-step explanation:

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

Answer:

A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was  to retain the null hypothesis .

Step-by-step explanation:

A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected then the value of the test statistic is equal to zero.

Then the decision  would be to retain the null hypotheses as zero is included in any value of the level of significance applied.

The chi square is a continuous distribution ranging from zero to plus infinity.

Answer:

C

Step-by-step explanation:

4.72×10^10

4.72×1000000000

move the point(.) ten times to your right. after first two movements

you'll have 472 remaining 8 digits to make

47200000000

Answer:

Probability (Roulette ball not landing on red) = 10 / 19

Step-by-step explanation:

Given:

Number of total slots = 38

Number of red slots = 18

Number of black slots = 18

Number of green slots = 2

Find:

Probability (Roulette ball not landing on red)

Computation:

Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)

Probability (Roulette ball not landing on red) = 1 - (18 / 38)

Probability (Roulette ball not landing on red) = 20 / 38

Probability (Roulette ball not landing on red) = 10 / 19

Answer:

Hi there! Hopefully this helps!

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Answer:

Literally a line that shows the middle of the shape

Step-by-step explanation:

Answer:

The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.

Step-by-step explanation:

Answer:

  27.6 cm²

Step-by-step explanation:

The area of a sector is given by ...

  A = (1/2)r²θ

where r represents the radius, and θ represents the central angle in radians.

The radius is half the diameter, so is 4.75 cm. The angle in radians is ...

  (140°)(π/180°) = 7π/9

So, the sector area is ...

  A = (1/2)(4.75 cm)²(7π/9) ≈ 8.77π cm² ≈ 27.6 cm²

The area of the sector is about 27.6 cm².

Answer:  Between the numbers -2 and -3  

Step-by-step explanation:

The negative square root of 5 will be slightly greater than 2 because the square root of 4 is 2 and 5 is greater than 2. The negative square root of 5  will not be greater than -3 because 3 squared is 9. So it has to be between -2 and -3.

Answer:

-2 and -3

Step-by-step explanation:

So in a simple way we can look at it as what is square root of positive 5.

This is between 2 and 3 but since we are looking for Negative 3, our answer is between -2 and -3

Hope this helps!

Answer:

Algebraic expression = 5(x+6)=8

x = -22/5

Step-by-step explanation:

Let the unknown number be x

Translate into Algebraic expression ;

[tex]5(x+6)=8[/tex]

Solve the equation

[tex]5\left(x+6\right)=8\\Divide\: both \:sides \:by \:5\\\frac{5\left(x+6\right)}{5}=\frac{8}{5}\\\\Simplify\\x+6=\frac{8}{5}\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=\frac{8}{5}-6\\\\\mathrm{Simplify}\\x=-\frac{22}{5}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]\Huge \boxed{5(x+6)=8}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Let the number be x.

The sum is the result from adding two or more values together.

The sum is multiplied by 5. The result is equal to 8.

[tex]5* (x+6) =8[/tex]

[tex]5(x+6)=8[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

say if the irrational sqrt was the sqrt of 5. to find the approximation you would figure out what two perfect squares the sqrt of 5 lies between. which is sqrt of 4 and the sqrt of 9. then find the sqrt of those perfect squares which is 2  and 3. now you know that the sqrt of 5 will lie somewhere between 2 and 3.

Keith started with 44 cards.

So we need to work backwards.

After his dog ate half his collection, he had 25 cards.

To reverse that, you need to multiply 25 by 2.

25×2=50

If he bought 6 new cards that day, then he started with 6 cards less.

So you have to subtract 6 from 50.

50-6=44

♡ Hope this helped! ♡

❀ 0ranges ❀

Answer:

25%

Step-by-step explanation:

9/36 = 0.25

25% are chocolate.

Answer:

Your answer is 17%

Answer:

p = - 2

Step-by-step explanation:

Given

n = 2 + 6m ← substitute m = - [tex]\frac{1}{2}[/tex] into the expression

n = 2 + 6(- [tex]\frac{1}{2}[/tex] ) = 2 - 3 = - 1

Thus

p = [tex]\frac{2}{n}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2

Answer:

Any Rational Number can become a fraction, which is what a repeating decimal is.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We are a given line plot that indicates the lengths of insects and the quantity of insects that fit each length.

To determine how much longer the longest insect is than the shortest insect, we simply need to subtract the shortest into the longest.

The longest insect we have is the lone insect at 7/8 inches long.

The shortest insect measures 1/8 inches.

Therefore, the difference is:

[tex]\displaystyle \begin{aligned} \frac{7}{8} - \frac{1}{8} & = \frac{7-1}{8} \\ \\ & = \frac{6}{8} \\ \\ &\left( = \frac{3}{4}\right)\end{aligned}[/tex]

In conclusion, our answer is D.

Answer:

[tex]\Large \boxed{\mathrm{\frac{6}{8} \ inch}}[/tex]

Step-by-step explanation:

The longest insect is 7/8 inch long.

There are 4 insects that are the shortest at 1/8 inch long.

Subtract the length of the shortest insect from the longest insect.

[tex]\displaystyle \frac{7}{8} -\frac{1}{8} \\\\\\ \frac{7-1}{8} \\ \\ \\ \frac{6}{8}[/tex]

The longest insect is 6/8 inch longer than the shortest insect.

Answer:

[tex]\Huge \boxed{x=-2}[/tex]

Step-by-step explanation:

[tex]-7x=14[/tex]

Dividing both sides by -7.

[tex]\displaystyle \frac{-7x}{-7} =\frac{14}{-7}[/tex]

[tex]x=-2[/tex]

There is only one solution that satisfies the equation.

Step-by-step explanation:

−7x=14

Divide ➗ both sides by -7.

x = 14/-7

x=-2

Hope this helps.........

Answer:

30). 68°

31). 35.5°

Step-by-step explanation:

Question (30).

If WZ is the angle bisector of ∠XWY.

∠XWZ ≅ ∠YWZ

Therefore, measure of both the angles will be equal.

m∠XWZ ≅ m∠YWZ = 68°

and m∠XWY = 2(68°) = 136°

Question (31)

If WZ is an angle bisector of ∠XWY,

∠XWZ ≅ ∠YWZ

Therefore,

m∠XWZ = m∠YWZ = [tex]\frac{1}{2}(m\angle XWY)[/tex]

m∠XWZ = m∠YWZ = [tex]\frac{1}{2}(71)[/tex]

m∠XWZ = m∠YWZ = 35.5°

Answer:

(a) The standard deviation of the amount spent is $3229.18.

(b) The probability that a household spends between $4000 and $6000 is 0.2283.

(c) The range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.

Step-by-step explanation:

We are given that the average annual amount American households spend on daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.

(a) It is stated that 5% of American households spend less than $1000 for daily transportation.

Let X = the amount spent on daily transportation

The z-score probability distribution for the normal distribution is given by;

                          Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = average annual amount American households spend on daily transportation = $6,312

           [tex]\sigma[/tex] = standard deviation

Now, 5% of American households spend less than $1000 on daily transportation means that;

                      P(X < $1,000) = 0.05

                      P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05

                      P(Z < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05

In the z-table, the critical value of z which represents the area of below 5% is given as -1.645, this means;

                           [tex]\frac{\$1000-\$6312}{\sigma}=-1.645[/tex]                

                            [tex]\sigma=\frac{-\$5312}{-1.645}[/tex]  = 3229.18

So, the standard deviation of the amount spent is $3229.18.

(b) The probability that a household spends between $4000 and $6000 is given by = P($4000 < X < $6000)

      P($4000 < X < $6000) = P(X < $6000) - P(X [tex]\leq[/tex] $4000)

 P(X < $6000) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$6000-\$6312}{\$3229.18}[/tex] ) = P(Z < -0.09) = 1 - P(Z [tex]\leq[/tex] 0.09)

                                                            = 1 - 0.5359 = 0.4641

 P(X [tex]\leq[/tex] $4000) = P( [tex]\frac{X-\mu}{\sigma}[/tex]

                                                            = 1 - 0.7642 = 0.2358  

Therefore, P($4000 < X < $6000) = 0.4641 - 0.2358 = 0.2283.

(c) The range of spending for 3% of households with the highest daily transportation cost is given by;

                    P(X > x) = 0.03   {where x is the required range}

                    P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03

                    P(Z > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03

In the z-table, the critical value of z which represents the area of top 3% is given as 1.88, this means;

                           [tex]\frac{x-\$6312}{3229.18}=1.88[/tex]                

                         [tex]{x-\$6312}=1.88\times 3229.18[/tex]  

                          x = $6312 + 6070.86 = $12382.86

So, the range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.

Answer:

The final estimate of √388 is 20.

Step-by-step explanation:

The number provided is:

x = 1388

Estimate the square root of 1388 as follows:

15² = 225

16² = 256

17² = 289

18² = 324

19² = 361

20² = 400

So, we now know that the square root of 388 lies between 19 and 20.

Check for 19.5²:

19.5² = 380.25

Check for 19.6²:

19.6² = 384.16

Check for 19.7²:

19.7² = 388.09 ≈ 388

The square root of 388 is closer to 19.7 or is approximately 20.

Thus, the final estimate of √388 is 20.

Answer:

x=11/2 and x=2

Step-by-step explanation:

i took the test

Answer:

91.46 m

Step-by-step explanation:

                       3 ft           1 m

100 yards x ----------- x ------------   =  91.46 m

                      1 yard      3.28 ft

The required solution is 100 yard is equal to 91.46 meter.

It is required to find the required solution.

Length is defined as the measurement or extent of something from end to end.  The greater of two or the greatest of three dimensions of an object. It can be measured in different units like centimeters, inches, meters, etc.

Given:

From the dimension  we know that given,

1 yard = 3 feet

100  yard =3*100  feet

100  yard = 300 feet.

Also,

1 meter = 3.28feet

3.28feet= 1 meter

1 feet=1/3.28 meter

1 feet=0.304  meter

300 feet= 0.304*300 meter

300 feet= 91.46 meter

Therefore, the required solution is 100 yard is equal to 91.46 meter.

Learn more about length here:

brainly.com/question/17227982

#SPJ6

Answer:

-16

Step-by-step explanation:

- ( -24/6) ^2

Simplify inside the parentheses

- ( -4) ^2

Square -4

-(16)

-16

Answer:

1/4

Step-by-step explanation:

divide numerator and denominator by 3

Answer:

92

Step-by-step explanation:

Multiply 4 and 23:

4 * 23 = 92

[tex] \huge{ \bf{ \underline{ \underline{ \pink{Solution:}}}}}[/tex]

Let,

It is given that,

➙ Number of girls = 420

Then,

➙ 2x = 420

➙ x = 420/2 = 210

No. of boys = 3x = 630

Then,

➙ Number of students = 5x

➙ Number of students = 5(210)

➙ Number of students = 1050

━━━━━━━━━━━━━━━━━━━━

Answer:

3+2=5 2x=120

Step-by-step explanation:

x=420/2=210 boy=3=630 no of students =5 5(210)=2050

Answer:

[tex]\boxed{m = 7}[/tex]

Step-by-step explanation:

Hey there!

Well to solve for m in the given equation,

-8m = -7 - 9m

Single out m

+ 9 to both sides

m = 7

Hope this helps :)

Answer:

m = 7

Step-by-step explanation:

-8m+9m=7-9m

Add 9m to each side

-8m+9m=7-9m

m = 7

Answer: [tex]\sqrt{41}[/tex]

===========================================

Work Shown:

Use the distance formula.

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(-1-(-5))^2+(3-8)^2}\\\\d = \sqrt{(-1+5)^2+(3-8)^2}\\\\d = \sqrt{(4)^2+(-5)^2}\\\\d = \sqrt{16+25}\\\\d = \sqrt{41}\\\\[/tex]

Or you could use the pythagorean theorem, which is how the distance formula is set up.

Answer:

(3, 140)

Step-by-step explanation:

If we have the equation [tex]t = 50 + 30h[/tex], we can substitute the value 3 as [tex]h[/tex] to find the value of [tex]t[/tex].

[tex]t = 50 + 30(3)\\\\t = 50 + 90\\\\t = 140[/tex]

So we know that the total cost is $140.

To represent this as an ordered pair, we need to take note that the independent variable (x) is the one that we change to get the result (y).

We changed [tex]h[/tex] to get [tex]t[/tex], so [tex]h[/tex] is the x and [tex]t[/tex] is the y.

So it's represented as (3, 140).

Hope this helped!