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Answer:

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

Step-by-step explanation:

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:

it is either A OR B

Step-by-step explanation:

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:

15000 meters in five days

Step-by-step explanation:

There are 1000 meters in a kilometer.

3 x 1000 = 3000

3000 meters per day

3000 x 5 = 15000

15000 meters for 5 days

Answer:

15km or 15000m

Step-by-step explanation:

We have a speed, which is 3 km a day, and a time which is 5 days.

If speed is equal to distance/time

Distance must equal speed multiplied by time, or 3 times 5.

This gives us 15km

If a kilometer is 1000 meters, then 15km is 15 times 1000, or 15000

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:

x = 20.1 degrees

Step-by-step explanation:

Use the inverse sine function to calculate the angle measure. While the sine function uses the opposite and hypotenuse's angle measures, the inverse sine uses the side lengths of the opposite and hypotenuse.

Using something like desmos, plug in arcsin(11/32) and make sure you have selected degrees instead of radians in the setting to get the correct output.

Note that Inverse sine , cosine, and tangent can be written like arcsin, arccos, arctan or  sin^-1,  cos^-1, tan^-1.

x= 20.1

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:

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:

4x^2 + 8x - 20

Step-by-step explanation:

Amir subtracted a quantity

Let quantity = y

... from the polynomial 3x^2+8x−16

y - (3x^2+8x−16)

and produced the expression x^2−4

= x^2−4

What quantity did Amir subtract?

y - (3x^2+8x−16) = x^2−4

Solving for y;

y =  x^2−4 + (3x^2+8x−16)

y = x^2−4 + 3x^2+8x−16

y = 4x^2 + 8x - 20

Quantity subtracted by Amit is [tex]\boldsymbol{2x^2+8x-12}[/tex]

In arithmetic, an expression is a sentence that includes at least two integers (known or unknown) as well as at least [tex]1[/tex] operation.

A quantity is subtracted from the polynomial [tex]3x^2+8x-16[/tex] and the result obtain is the expression [tex]x^2-4[/tex]

Quantity subtracted [tex]=(3x^2+8x-16)-(x^2-4)[/tex]

                                 [tex]=3x^2+8x-16-x^2+4\\=2x^2+8x-12[/tex]

So, quantity subtracted is [tex]\boldsymbol{2x^2+8x-12}[/tex]

Find out more information about expression here:

https://brainly.com/question/13947055?referrer=searchResults

Answer:

81986088

its even

Step-by-step explanation:

just look it up on your search bar? Im confused on what your asking. Sorry if  I answered wrong

Answer:

A.

Step-by-step explanation:

I'm pretty sure that's right.

Answer: y = (16/3)*x - 13.33

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then for our particular case, we know that the line passes through the points (4, 8) and (1, -8)

Then the slope for this line will be:

a = (8 - (-8))/(4 - 1) = 16/3

Then our line is something like:

y = (16/3)*x + b

We need to find the value of the y-intercept b.

We know that this line passes through the points (4, 8) and (1, -8)

Then we can just replace the values of one of these points in our linear equation, for example, if we se the first one we get:

x = 4 and y = 8

replacing that in our equation we get:

8 = (16/3)*4 + b

8 - (16/3)*4 = b

-13.33 = b

Then the equation for our line is:

y = (16/3)*x - 13.33

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 is 103

- took the test on edge!

- Have a good day :)

Answer:

Step 2

Step-by-step explanation:

Step 2 b/c [tex]4\frac{1}{8}[/tex] = [tex]\frac{33}{8}[/tex]

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:

i believe number 4 is the answer

Answer:

6 numbers greater than 6, plus 1,3 and 5- so nine total.

9/12, simplified 3/4

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment

Solving (1): What is asked

The requirement of the question is to determine the difference between the amount of sugar used between yesterday and today

Solving (2): The given facts

[tex]Yesterday = \frac{9}{10}kg[/tex]

[tex]Today = \frac{3}{5}kg[/tex]

Solving (3): Operation to be used

We use subtraction operation

Solving (4): The mathematical sentence

[tex]D = Yesterday - Today[/tex]

[tex]D = \frac{9}{10}kg - \frac{3}{5}kg[/tex]

D represents the difference

Solving (5): The solution

[tex]D = \frac{9}{10}kg - \frac{3}{5}kg[/tex]

Take LCM

[tex]D = \frac{9 - 6}{10}kg[/tex]

[tex]D = \frac{3}{10}kg[/tex]

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:

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:

-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:

6 of his class are girls

Step-by-step explanation:

24/4=6

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:

8x-20

Step-by-step explanation:

Use the distributive property. Multiply 4 by 2x. Multiply 4 by -5.

Answer:

2

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

As in right triangle, the other two angles sum up equal to 90 degree, so 6x + 15 + 33 = 90, then solve for x, 6x = 90 - 15 - 33 = 42, then x = 7.