Solve for X in the figure below, knowing line L is parallel to line M. Thank You!

Answer:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62−3=59 62 - 3 = 59 .

Step-by-step explanation:

Answer:

The answer is 59

Step-by-step explanation:

Answer:

[tex]2 \dfrac25[/tex]

Step-by-step explanation:

The first pipe drains 1/4 of the pool every hour, and the second pipe drains 1/6 of the pool every hour. Combined, they drain [tex]\dfrac14 + \dfrac16 = \dfrac{5}{12}[/tex] of the pool per hour. Therefore, it will take 12/5 hours, or 2 2/5 hours.

(brainliest pls ty)

Both pipe are together then they take 6 hour to fill the pool.

In 1 hour they fill the pool is 110 hours

In 1 hour pipe A can fill the pool = x/1

​In 1 hour pipe B can fill the pool= y/1

​so

4 hours=x/4

6 hours=y/6

If both pipe are together then they take 6 hour to fill the pool.

If the are together then in 1 hour they fill the pool.

x/1 +  y/1 = 6/1+4/1= −−−−(1)

=10 hours

Example:A swimming pool may be filled using two pipes in 12 hours. Only half of the pool can be filled if the larger pipe is utilized for 4 hours and the smaller pipe for 9 hours.

10,000 divided by 240 minutes, or 4 hours, yields approximately 41.6. With the drain blocked, your pool would therefore fill at a rate of about 41 gallons per minute.

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Answer:

it is either A OR B

Step-by-step explanation:

Answer:

Step-by-step explanation:

(9x-22) + 61 + (5x-7) + 34 = 360

14x = 294

x = 21°

:::::

arc GK = 9x-22 = 167°

:::::

arc HJ = 5x-7 = 98°

:::::

arc HGK = arc GK + 61 + 34 = 262°

:::::

arc GKJ = arc GK + 34 = 201‡

Angles in a circle add up to 360 degrees.

The given parameters are:

[tex]\mathbf{GH = 61}[/tex]

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{JK = 34}[/tex]

[tex]\mathbf{KG = 9x - 22}[/tex]

The sum of angles in a circle is 360 degrees.

So, we have:

[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]

So, we have:

[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]

[tex]\mathbf{14x = 294}[/tex]

Divide both sides by 14

[tex]\mathbf{x = 21}[/tex]

GK is calculated as:

[tex]\mathbf{GK = 9x - 22}[/tex]

[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]

[tex]\mathbf{GK = 167}[/tex]

HJ is calculated as:

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]

[tex]\mathbf{HJ = 98}[/tex]

HGJ is calculated as:

[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]

[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]

[tex]\mathbf{HGJ = 262}[/tex]

GKJ is calculated as:

[tex]\mathbf{GKJ =GK + KJ}[/tex]

[tex]\mathbf{GKJ = 167 + 34}[/tex]

[tex]\mathbf{GKJ = 201}[/tex]

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Answer:

b. 42

Step-by-step explanation:

Your trying to find the diameter since radius is r

diameter is always double of radius

Answer: See explanation

Step-by-step explanation:

Let her sales be represented by x.

Based on the information given in the question, the equation to calculate her sales goes thus:

(8.50 × 24) + (12% × x) ≥ 324

204 + (0.12 × x) ≥ 324

204 + 0.12x ≥ 324

0.12x ≥ 324 - 204

0.12x ≥ 120

x ≥ 120/0.12

x ≥ 1000

Her sales is at least $1000

Answer:

I don't understand the question.  

Step-by-step explanation:

I don't know how to explore the slope intercept line equation.  

However, 'b' is the y axis intercept (the point where is crosses the y axis and 'm' is the slope of the line.  The 'm' and the 'b' can be positive or negative numbers.  

A positive 'm' is a line that goes 'up' (the y value increases from the left to right) and a negative 'm' is a line that goes 'down' (the y value decreases from left to right).

Answer:

vjfkkfjjkuuoooo99999

Answer:

the work done in pulling the bucket to the top of the well is 2125 ft-lb

Step-by-step explanation:

Given that;

Weight of the bucket is 3 lb

weight of water which can be filled in the bucket is 42 lb

Total weight of bucket and water = 3 + 42 = 45 lb

distance, the bucket filled with water is to be pulled 50 ft

now, let at any time t be the bucket at distance x ft from the bottom of the well

then, t = x/2 × S

where S is the rate at which water is leaking from the bucket

so at this time t, the amount pf water which leaked from the bucket is;

⇒ x ft / 2.5 ft/s × 0.25 lb/s

= 0.25 lb.s⁻¹ / 2.5 ft.s⁻¹ × x ft

= 0.1 lb/ft × x ft

= 0.1x lb

now, as x represent the distance that the bucket has been raised, we the force F applied to the bucket x to be;

F = ( 45 - 0.1x ) lb

so, the required worked by Riemann sum as;

[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx

so, the work done, pulling the bucket up will be;

[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx  =  [tex]\int\limits^{50}_0 {(45-0.1x)} \, dx[/tex]

= [ 45x - 0.1[tex]\frac{x^2}2}[/tex] ]⁵⁰₀

= 45 × 50 - 0.1/2 × (50)²

= 2250 - 125

= 2125 ft-lb

Therefore, the work done in pulling the bucket to the top of the well is 2125 ft-lb

Answer:

111.4

Step-by-step explanation:

trust

Answer:

if theres four friends and they share the whole gallon equally then each friend would get a quart of lemonade

Step-by-step explanation:

Answer:1/4 of the lemonade

Step-by-step explanation: Each person gets 1/4 of the lemonade

Answer: 27

Step-by-step explanation:

Answer:

[tex]24m^{3}[/tex]

Step-by-step explanation:

V = [tex]a^{2} \frac{h}{3}[/tex]

a = 3

h = 8

If we put this on out formula, it would look:

V = [tex]3^{2} \frac{8}{3}[/tex]

V = 9[tex]\frac{8}{3}[/tex]

[tex]\frac{8}{3}[/tex] = 2.67

V = 9 x 2.67

V = 24.03

Round to the nearest whole number:

24.03 = 24

Answer:

A) 24 m 3

Step-by-step explanation:

Answer:

where i^2 = -1 (minus one)

So, i^2 = -1

i^4 = (i^2)^2 = (-1)^2 = -1 X-1 = 1

like ;

i^32 = (i^2)^16 = (-1)^16 =  -1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X

     = 1

Step-by-step explanation:

The equivalent to the complex number i³² is 1.

A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.

Given:

i³²

As we know that i² = -1

The i³² can be written as,

(i²)¹⁶

Put the value of  i² = -1

(-1)¹⁶

As the power is an even number, so the result will be a positive number,

i³² = (-1)¹⁶ = 1

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Answer:

Step-by-step explanation:

y = 5x + 1

Table for input-output values is,

x        0         1           2           3

y        1          6          11          16          

Now we can plot these points to get the graph.

y = x + 2

Table for the Input-output values,

x       0         1           2          3

y       2         3          4          5

We can get the graph as attached.

Answer:

The answer is "[tex]\bold{r=9, \lambda=\frac{1}{2}\ and \ \ \text{exponential, 9 steps}}[/tex]"

Step-by-step explanation:

In point a:

We are aware of the random gamma variable X:

[tex]\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\[/tex]

It is given:

[tex]\to \mathbb{E} = 18 \\\\\to std(X)=6[/tex]

[tex]\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\[/tex]

Substituting the value:

[tex]\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\[/tex]

In point b:

When building the Erlang/Gammas distribution, these could reasonably be assumed to become an exponential distribution only with \lambda = 1/2 parameter with one step but to be r = 9 for one step.

Answer:

17 feet 10 inches

Step-by-step explanation:

26 feet 10 inches is cut from a wire that is 44 feet 8 inches

Therefore the length of wire that is left can be calculated as follows

44 feet 8 inches - 26 feet 10 inches

= 17 feet 10 inches

Answer:

i believe number 4 is the answer

Answer:

y=2x-3

Step-by-step explanation:

First we find the y-intercept of this graph whic in this case is -3. Then we plot two pints on the graph and caculate the rise over run which is 2/1=2. Finally, we get the equation- y=2x-3.

Answer:

-30,10

Step-by-step explanation:

How to get 60 to -30 : 60 divided by -30 is -2

How to get -20 to 10: -20 divided by 10 is -2

Answer:

Following are the responses to these questions:

Step-by-step explanation:

In point a:

Please find the graph file in the attachment.

In point b:

This information is interesting for us, because we inform us about an important disease outbreak in such days and how the pandemic impacts major global communities like London as well as how the pattern in the recorded cases is increasing and decreasing.

In point c:

The data are sorted: 551, 1683, 3194, 4053, 4079, 5842, 5868

Mean[tex]= \frac{(551+1683+....+586)}{7} =3610[/tex]

Median proves middle value or class so if ascending data is arranged = 4th term = 4053 

A mode is of max [tex]= 3_{median} -2_{mean} = 4939[/tex]

Range It is also the difference between max and min values which indicates the overall distribution range [tex]= 5868 -551=5317[/tex]

The standard deviation[tex]= 1841.60[/tex]

Answer:

ITS C plz mark me brainliest

Step-by-step explanation:

answer:

we reject null and conclude that this manufacturers claim is false

Step-by-step explanation:

p = 30% = 0.30

p^ = 93/150 = 0.62

we state the hypothesis

H0: p = 0.30

h1: p not equal to 0.30

we find the z test stattistics

[tex]z=\frac{p^--p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

[tex]z=\frac{0.62-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }[/tex]

[tex]z=\frac{0.32}{\sqrt{\frac{0.30*0.70}{150} } }[/tex]

[tex]z=\frac{0.32}{0.03741}[/tex]

z = 8.5538

at alpha = 0.05

z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅

= 1.96

we compare z critical with the test statistic

z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.

Answer:

23 / 126

Step-by-step explanation:

46/252 = 23/126

9514 1404 393

Answer:

Step-by-step explanation:

In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:

Find the missing angle. Find the side from ...

  c = a·sin(C)/sin(A)

__

1. angle A = 180°-89°-58° = 33°

  c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m

__

2. angle C = 180°-13°-17° = 150°

  b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi

__

3. angle A = 180°-61°-89° = 30°

  c = (16 mi)sin(61°)/sin(30°) = 28.0 mi

__

4. angle A = 180°-39°-127° = 14°

  c = (10 mi)sin(127°)/sin(14°) ≈ 33.0 mi

Answer:

6 of his class are girls

Step-by-step explanation:

24/4=6

Answer:

21k+9k+13, and simplified into 43k.

Step-by-step explanation:

The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)

21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.

Answer:

43k

Step-by-step explanation:

Answer:

7.5 pounds

Step-by-step explanation:

The computation is shown below:

let  us assume x be the pounds of cashews,

and the total pounds will be x + 10

Now the equation is  

10($1.5) + x(5.00) = (10 + x)(3.00)

15 + 5x = 30 + 3x

2x = 15

x = 7.5 pounds

Answer:

In 5 hours, he will go 3 ¾ kilometers far.

Step-by-step explanation:

Answer:

Part a) The area of the figure is [tex]\frac{9}{2} (4+\pi ) cm^{2}[/tex]

Part b) The perimeter of the figure is [tex]3(2+2\sqrt{2} +\pi )cm[/tex]