Find the value of x in the triangle shown below 3 6

5

√18

√27

4

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:

6 of his class are girls

Step-by-step explanation:

24/4=6

Answer:

x+y= 90

x+ y/2= 65

90-65= 25

y= 2*25= 50

x=40

Step-by-step explanation:

Answer:

b. 42

Step-by-step explanation:

Your trying to find the diameter since radius is r

diameter is always double of radius

Answer: I think it B (130)

Step-by-step explanation: .........

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:

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:

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]

Read more about angles in a circle at:

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Answer:

Step-by-step explanation:

so we need two even intergeters that add to 70  when we multiply the bigger by 2 and add the smaller to that soooo

70= 2*y + x

but we can express x in terms of y b/c  it's a consecutive even integer soo

(b/c   x+2 = y, then x = y -2)

70= 2*y  + (y-2)  

70 = 2y + y - 2

72 = 3y

24 = y   :)  nice the bigger is 24 so the smaller is 22

70 = 2*24 + 22

70 = 48 + 22

70 = 70    nice !  

bigger = 24

smaller = 22  

:)

Answer:

bigger = 24

smaller = 22  

Step-by-step explanation:

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:

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]

Answer:

3.00

Step-by-step explanation:

One bow and and 1 roll of wrapping paper  cost 6.00$

so the roll by itself would cost 6.00$

Answer:

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

Step-by-step explanation:

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: No 0.3 as a percentage is larger than 25%

Step-by-step explanation:

'percent' is 'over hundred'

if you convert 0.3 into a percentage it becomes 30 percent

Samuel says that 25% is greater than 0.3 is not correct statement.

A percentage is a number or ratio expressed as a fraction of 100.

The percentage is denoted by the symbol %.

The percentage is used or most important application is to compare any two quantities. We compare one quantity against another, with the second quantity rebased to 100 by using percentage.

Samuels  says that 25% is greater than 0.3 is a false.

25% when it is converted to decimals.

25 divided by 100

we will get 0.25

and if 0.3 is converted to percentage

0.3×100=30%

We know that 30% is greater than 25%.

hence Samuel says that 25% is greater than 0.3 is not correct.

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Answer:

2root(58) == 15.23 miles

Step-by-step explanation:

Find distance between two points --> root( (x2 - x1)^2 + (y2 - y1)^2 ) = root (3^2 + 7^2) = root ( 58), as one unit is two miles then 2* root(58) = 15.23 miles.

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Answer:

459

Step-by-step explanation:

because 3^5 is 243 and 6^3 is 216 then add up 243+216=459

Answer:

Scott filled (1/2 - 1/4) of the jar, or 1/4 of the jar this week.

Let me know if this helps!

Answer:

He filled his jar 1/4 more this week.

Step-by-step explanation:

The explanation is very simple, you know that he added 1/4 coins last week and this week he added more coins that filled the jar half way:

1/2 - 1/4 = 1/4

or you can also use:

1/4 + 1/4 = 1/2

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:

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:

1st step

Step-by-step explanation:

7/10 is greater than 1/2

Answer:

Step 1

Step-by-step explanation:

Answer:

it is either A OR B

Step-by-step explanation:

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:

i believe number 4 is the answer

Answer:

111.4

Step-by-step explanation:

trust

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: 27

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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