What rule can you write about where the numbers in an inequality with a greater than symbol lie in relation to each other on the horizontal number line?

Answer:

E(29/4,3)

Step-by-step explanation:

Given that,

Segment CD has point E located on it such that CE:ED = 3:5

The coordinates of C and D are (5, -6) and (11,18) respectively.

We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :

[tex](x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3[/tex]

So, the coordinates of E are (29/4,3).

I believe the answer is A.

Answer:

70 cars

Step-by-step explanation:

Let x cars are parked in the parking lot.

[tex]30\% \: of \: x = 21 \\ \\ \frac{30}{100} \times x = 21 \\ \\ x = 21 \times \frac{100}{30} \\ \\ x = \frac{2100}{30} \\ \\ x = 70 \: [/tex]

70 cars are parked in the parking lot.

Answer is this:

1.04                      

Answer:

about 5.8cm

Step-by-step explanation:

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

Answer:

752.75 is correct

ED2021

Answer:

we need to know how much she earns per hour

Step-by-step explanation:

Answer:

Just do 180-48!!

The answer is 132 degrees

Step-by-step explanation:

9514 1404 393

Answer:

  r = -8

Step-by-step explanation:

The terms of a geometric sequence have a common ratio, so we have ...

  [tex]\dfrac{r+4}{r}=\dfrac{r+6}{r+4}\\\\1+\dfrac{4}{r}=1+\dfrac{2}{r+4}\\\\4(r+4)=2(r)\qquad\text{subtract 1, cross multiply}\\\\2r=-16\qquad\text{subtract $2r+16$}\\\\\boxed{r=-8}\qquad\text{divide by $2$}[/tex]

_____

Then the terms of the sequence are ...

  -8, -4, -2, ...

and the common ratio is 1/2.

Answer: r = -8

Step-by-step explanation:

Answer:

It will take her 75 minutes To run 10 miles.

Step-by-step explanation:

I believe to run 10 miles (not minutes)

30/4= 7.5 minute per mile

7.5*10= 75 minutes

Answer:

10x0.133=1.33 so approximately 1.3 miles

Step-by-step explanation:

Charmaine runs 0.133 miles per minute

Answer:

are the answers actual people or loyalist and patriots

Step-by-step explanation:

Total no. of students = 40

Total no. of girls = 22

Total no. of boys = 40 - 22 = 18

No. of girls walking to school = 9

No. of girls who cycle to school = 22 - 9

No. of boys who cycle to school = 7

No. of students who take the bus = 10

(6 boys and 4 girls)

No. of boys who walk to school = 18 - (7 + 6) = 5

Total no. of students who walk to school = 9 + 5 = 14

The number of students who walked to school was 14 students

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The equations will be ,

Let the total number of students in the class be A = 40 students

The number of girls in the class = 22 students

The number of boys in class = total number of students - number of girls

                                                = 40 - 22

                                                = 18 students

Now ,

The number of girls who walked to school = 9 students

The number of boys who cycled to school = 7

So , remaining boys = 18 - 7

                                 = 11 students

The number of boys who take bus to school = 6 students

So , remaining boys = 11 - 6

                                 = 5 students

Therefore , the remaining boys in the class walks to school = 5 students

So , the equation will be

And , the total number of students who walked to school =
number of boys in the class that walks to school + number of girls who walked to school

Total number of students who walked to school = 9 + 5

                                                                                = 14 students

Hence , The number of students who walked to school was 14 students

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Answer:

It would take 5 years for the car to have a value of less than $25,000

Step-by-step explanation:

Exponential Decaying Model

The exponential function is often used to model natural decaying processes, where the change is proportional to the actual quantity.

We have the initial value of a car is $40,000. Each year it depreciates by 10%.

Thus the first year its value is 90% of the initial value:

V1 = 90 * $40,000 / 100 = $36,000

By the second year its value is 90% of $36,000:

V2 = 90 * $36,000 / 100 = $32,400

Note the value for a year n is the original value multiplied by 90% (or 0.9) to the power of n:

[tex]Vn = $40,000 \cdot 0.9^n[/tex]

To find the number of years needed to have a value of less than $25,000, we solve the equation:

[tex]40,000 \cdot 0.9^n = 25,000[/tex]

Dividing by 40,000:

[tex]0.9^n = 25,000/40,000 = 0.625[/tex]

Taking logarithms:

[tex]n\log 0.9=\log 0.625[/tex]

[tex]n=\log 0.625 / \log 0.9[/tex]

n =4.5

We'll round up to n = 5

It would take 5 years for the car to have a value of less than $25,000

Answer:

Step-by-step explanation:

m∠1 = x

m∠2 = 3x

m∠3 = ( [tex]\frac{1}{3}[/tex] )(3x) = x

x + 3x +x = 180°

x = 36°

m∠1 = 36°

m∠2 = 108°

m∠3 = 36°

Answer:

7/2(12+h)

Step-by-step explanation:

The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.

Here, we have,

given that,

the expression 42+3.5h

we have to find the factored form.

From the given information:

The expression 42 + 3.5h is factored out by taking the coefficient of the variable term is 3.5

So factoring 3.5 from the expression  42 + 3.5h, we get:

= 3.5 ( 12 + h)

= 7/2 ( 12 + h)

Hence, The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.

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Answer: 21, 21

Step-by-step explanation: 21 × 3 = 63, so 21 + 21 + 21 is 63.

Answer:21,21

Step-by-step explanation:

21 × 3 = 63, so 21 + 21 + 21 is 63.

Answer:

not me because its not my color

Answer:

Approximately [tex]0.157[/tex].

Step-by-step explanation:

Let [tex]X[/tex] denote the speed of a car. The question is asking for [tex]P(60 \le X \le 70)[/tex].

That probability is equal to [tex]P(X \le 70)- P(X \le 60)[/tex].

Find each of [tex]P(X \le 60)[/tex] and [tex]P(X \le 70)[/tex] using a [tex]Z[/tex]-table.

Calculate the [tex]Z[/tex] value for [tex]x = 70[/tex] and [tex]x = 60[/tex]:

At [tex]x = 70[/tex], [tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{60 - 55}{5} = 3[/tex].

At [tex]x = 60[/tex], [tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{70 - 55}{5} = 1[/tex].

In other words: [tex]P(X \le 70) = P(Z \le 3)[/tex] whereas [tex]P(X \le 60) = P(Z \le 1)[/tex].

Look up [tex]P(Z \le 3)[/tex] and [tex]P(Z \le 1)[/tex] on a [tex]Z[/tex]-table. The question is asking that the answer be rounded to the nearest thousandth. Therefore, keep at least more decimal places than that in intermediate values.

[tex]P(Z \le 3) \approx 0.9987[/tex] and [tex]P(Z \le 1) \approx 0.8413[/tex].

Therefore:

[tex]\begin{aligned}P(60 \le X \le 70) &= P(X \le 70)- P(X \le 60) \\ &= P(Z \le 3) - P(Z \le 1) \approx 0.157\end{aligned}[/tex].

Ok, this one is really easy your domain is all the x values and the range is all of the y values.

Thus, here is your answer...

Domain → { -2, -1, 0, 1 }

Range → { 0, 2, 4, 6 }

Answer:

1 place to the right

Step-by-step explanation:

hope it help

Answer:

-8+4=-4

Step-by-step explanation:

Rearrabge the equation to bcm 4-8

This will make it simpler to give us the answer as -4

Answer:

7:8

7 to 8

7/8

Step-by-step explanation:

Answer:

49:56

7/8

.875

Step-by-step explanation:

Here's 3 different ways

Answer:

$64.8

Step-by-step explanation:

hihihihihihihihihihihihihi

Answer:

w = 9

x = 12

y = 5

z = 3

Step-by-step explanation:

The corresponding sides of similar polygons are proportional.

Therefore:

[tex] \frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2} [/tex]

Solve for each variable as follows:

✔️[tex] \frac{w}{3} = \frac{6}{2} [/tex]

Multiply both sides by 3

[tex] w = \frac{6}{2} \times 3 [/tex]

[tex] w = 3 \times 3 [/tex]

[tex] w = 9 [/tex]

✔️[tex] \frac{x}{4} = \frac{6}{2} [/tex]

Multiply both sides by 4

[tex] x = \frac{6}{2} \times 4 [/tex]

[tex] x = 3 \times 4 [/tex]

[tex] x = 12 [/tex]

✔️[tex] \frac{15}{y} = \frac{6}{2} [/tex]

Cross multiply

[tex] y \times 6 = 2 \times 15 [/tex]

[tex] 6y = 30 [/tex]

Divide both sides by 6

[tex] y = 5 [/tex]

✔️[tex] \frac{9}{z} = \frac{6}{2} [/tex]

Cross multiply

[tex] z \times 6 = 2 \times 9 [/tex]

[tex] 6z = 18 [/tex]

Divide both sides by 6

[tex] z = 3 [/tex]

Answer:

h=46

Step-by-step explanation:

Add 18 to both sides

Answer:

C.) [tex]55[/tex]

Step-by-step explanation:

Simplify the expression by finding the square root of 25:

[tex]\sqrt{x} =x*x\\\\\sqrt{25} =5*5\\\\11*5=55[/tex]

The answer is 55

:Done

Answer:

0.98 also 98%

Step-by-step explanation:

In this question we have the Lower limit to be 0.16

We have the Upper limit to be 0.24

Such that (0.16+0.24)/2 = 0.40/2 = 0.20

Standard deviation= √(0.2x0.8/545) this gives 0.017134

Next we get margin of error

Margin of error = 0.24-0.20 = 0.04

Z multiplied by sd =0.04

Such that

Z = 0.04/0.017134 =2.33

On this z score, the Corresponding level of confidence is 0.98

Which is 98%