A young entrepreneur wants to set up a lemonade stand at a busy intersection. Customers arrive at a rate of 38 customers per hour according to a Poisson distribution. Customers will be served at the average rate of 58 customers per hour with exponential service times. What is the average utilization rate (%) of the entrepreneur

Answer:

C) 11

Step-by-step explanation:

The common multiples less than 70 of 6 and 8 are: 24 and 48.  

If there are 24 blue and green (12 each), there would be 46 yellow and red.  Half of 46 is 23, which isn’t an answer choice.

If there are 48 blue and green (24 of each), there would be 22 yellow and red.  Half of 22 is 11.

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

Answer:

x = 56

Step-by-step explanation:

As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.

Answer:

Step-by-step explanation:

[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]

Step-by-step explanation:

the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!

Answer:

This is the answer:

330550=

Answer:

equation:  C = 15 - R

C = 15 - 7

C = 8

Step-by-step explanation:

Okay first of all stan the karl pfp

Answer:

D

Step-by-step explanation:

Answer:

B. Frequency

Step-by-step explanation:

I calculated it logically

Answer:

30n

Step-by-step explanation:

-24+54=30×n=30n

I needed 20 more letters so ya lol

Answer:

-6 (4-9n)

Step-by-step explanation:

Answer:

2(1)²−1= 1

2(2)²−1= 7

2(3)²−1= 17

2(4)²−1= 31

2(5)²−1= 49

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

64 Shirts

Step-by-step explanation:

For 8 hrs she already earns $48 because 8*6=48. She needs $32 more from shirts to make $80. If its $0.50 per shirt it takes 64 to make $32

Answer:

3/32 in³

Step-by-step explanation:

To find the volume of a rectangular prism, multiply the length, width, and height.

[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]

Therefore, the volume is 3/32 in³.

Answer:

240 units²

Step-by-step explanation:

Rectangle = 20x10=200

2 triangles = 2x1/2x4x10=40

200+40=240

Answer:

x+41=-11 I guess

Step-by-step explanation:

Answer:

Step-by-step explanation:it’s c

Answer:

1. A square root

2. one distinct endpoint

3. The square root of

on edg

have a nice day! :)

Step-by-step explanation:

1. The function graphed to the left is function. A square root

2.  The curve has and continues infinitely in one direction.

one distinct endpoint

3.  Each y-value is each corresponding x-value. the square root of

The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.

1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.

The graph shown is known as the graph for square root functions.

2. The curve has one distinct end point and continues infinitely in one direction.

3. The square root of each corresponding x-value.

   Each value of y is the corresponding square root of x- values.

Learn more about this concept here:

https://brainly.com/question/14231651

#SPJ2

Answer:

116.7

Step-by-step explanation:

Given: p = 6, r = 7

Plug in 6 for p, and 7 for r in the given expression:

9.3p + 8.7

9.3(6) + 8.7(7)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.

First, multiply:

9.3 * 6 = 55.8

8.7 * 7 = 60.9

Next, add:

55.8 + 60.9 = 116.7

116.7 is your answer.

~

Answer:

9.3p + 8.7r when p=6 and r=7 .

substituting value

9.3*6+8.7*7

55.8+60.9

116.70is a required answer.

Answer:

1) P=49

A=187

2)P=59

A=221

3)P=32

A=96

4)P=132

A=660

5)P=42

A=130

6)P=34

A=24

Step-by-step explanation:

area of a triangle is bh/2

perimeter is s1+s2+hypotenuse (add all sides)

side note: number 6, i don't know if that is right. It makes no sense.

side note: I don't know if you wanted perimeter and area for all triangles included triangles inside triangles or just the big triangles so... If I got it wrong sorry. I just did perimeter and angle for the big triangles.

Answer:

14 is D but I don't 15 question answer

Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

Answer:

12000 mg/day or 80 capsules

Step-by-step explanation:

First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.

44/2.2=20 kg

600*20=12000 mg per day

12000/150=80 capsules

Seems a bit excessive but looking over my process I don't see any mistakes.

Answer:

x = 11

Step-by-step explanation:

Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \

Use formula : (whole*outside = whole*outside)

1. Formula

WO = WO

2. Substitute variables and setup equation

7(x+7) = 6(6+15)

3. Simplify and remove parentheses

7x+49 = 126

4. Isolate and solve for (x)

7x = 77

x = 11

Answer: 11

Given:

The figure of circle and two secants from an external point.

To find:

The value of x.

Solution:

According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then

(I secant) × (external segment of I) = (II secant) × (external segment of II)

Using the intersecting secant theorem, we get

[tex]7(7+x)=6(6+15)[/tex]

[tex]49+7x=36+90[/tex]

[tex]7x=126-49[/tex]

[tex]7x=77[/tex]

Divide both sides by 7.

[tex]x=\dfrac{77}{7}[/tex]

[tex]x=11[/tex]

Therefore, the value of x is 11.

Answer:

[tex]x \ge -2[/tex]

Step-by-step explanation:

The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.

[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].

But in the function f(g(x)), the input to  f  is g(x) = x + 5, so x + 5 must be greater than or equal to 3.

[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]

Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function.  See if it helps to call the domain of g by the name x, and the domain of f by some other name.

[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]

The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]

Answer:

y = -1/2x + 1

Step-by-step explanation:

use 2 points to find slope, i used:  (0,1) (4,-1)

m = 1-(-1) / 0-4

m = 2/-4

m = -1/2

as seen in graph, y-intercept is 1

∴ y = -1/2x + 1

Answer:

y=-2/4x+1

Step-by-step explanation:

the slope would be rise/run and y-intercept is wherever the line crosses the y-axis

Answer:

[tex]Mean = 6.07[/tex]

[tex]Median = 7[/tex]

[tex]Mode = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]n = 15[/tex]

Solving (a): The mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

This gives:

[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]

[tex]Mean = \frac{91}{15}[/tex]

[tex]Mean = 6.07[/tex]

Solving (b): The median

Sort the data in ascending order:

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{15 + 1}{2}th[/tex]

[tex]Median = \frac{16}{2}th[/tex]

[tex]Median = 8th[/tex]    

The 8th item on the sorted dataset is 7; So:

[tex]Median = 7[/tex]

Solving (c): The mode

[tex]Mode = 7[/tex]

Because it has a frequency of 3 (more than any other element of the dataset).