An operations analyst counted the number of arrivals per minute at an ATM in each of 30 randomly chosen minutes. The results were: 0, 3, 3, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1. For the Poisson goodness-of-fit test, what is the expected frequency of the data value X
Step-by-step explanation:
since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is
[tex]\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1[/tex]
So probabaility for [tex]\mathrm{X}=1[/tex] is
[tex]P(X=1)=\frac{e^{-\lambda} \lambda^{x}}{x !}=\frac{e^{-1} \cdot 1^{1}}{1 !}=0.3679[/tex]
So expected frequency for [tex]X=1[/tex] is [tex]0.3679^{*} 30=11.037[/tex] (or [tex]\left.11.04\right)[/tex] .
How many squares in the picture?
Answer: Not 28, 26, or 20, apparently...
Answer:
20 squares r there in the picture
PLEASE HELP ME I NEED AN ANSWER FAST PLEASE THANK YOU
Answer:
your answer will be $29.
1 LB= $4
4 Oz = $1
Help pleaseeee cxxxcxx
Answer:
no. I'm pretty sure it's not
do two lines that intersect make 4 right angles
Answer:
if they are perpendicular
Answer:
Yes
Step-by-step explanation:
Two lines that intersect each other can intersect each of perpendicularly, which forms 4 right angles.
I hope this helps!
What is the answer to this?
Answer:THE ANSWER IS C HOPE THIS HELPS ANY
Step-by-step explanation:
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
O
-5
+
4
-4
+
5
-3
-2
-1
0
1
2
3
+
-4
+
-3
+
-1
-5
+
1
+
2
-2
O
3
4.
5
.
O
+
+
o
-3
+
-1
+
1
-2
+
2
+
3
+
4
-4
-5
+
5
O
O
6
-5
-4
-3
-2
-1
0
1
2
3
4
5
The inequality equation is x > 3 and the graph is plotted
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30 (Distributive property)
Adding 30 and 12x on both sides , we get
24 + 30 < 6x + 12x
On further simplification , we get
54 < 18x
Divide by 18 on both sides , we get
x > 3
Hence , the inequality is x > 3
To learn more about inequality equations click :
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Find the missing measurement. Use 3.14 for it.*
Radius: 6 mm
Diameter: 12 mm
Area: A=
18.84 mm squared
37.68 mm squared
113.04 mm squared
452.16 mm squared
Answer:
452.16 mm squared is a correct answer.
Sure!
;):);):):):):):):):)
Robby took his dog Shaggy to the groomer. The grooming service was $30. If he wants to leave a 25% tip for the groomer. How much will his total charge on his debit card be for the grooming service and the tip?
Answer:
37.5
Step-by-step explanation:
8 divided by 832 (long division)
Answer:
Step-by-step explanation:
832/8 math problems division = 104. Therefore 104 to 2 decimal places= 104
832/8 divided by 2 » (832/8) ÷ 2 » 104 ÷ 2 = 52
ALL I NEED IS #9 PLS
Answer:
x=24
Step-by-step explanation:
x/6=4
4*6=x
x=24
Help me out here pleaseeeeeeee
Answer:
12
Step-by-step explanation:
No. of planters = 4 ÷ [tex]\frac{1}{3}[/tex]
To change the ÷ sign to a × sign, swap the denominators and numerators of the second fraction.
4 ÷ [tex]\frac{1}{3}[/tex] = 4 × [tex]\frac{3}{1}[/tex]
Directly multiply.
4 × [tex]\frac{3}{1}[/tex] = 12
Simplify this expression: -2.15m + 6 + 10.3m
Answer:
8.15m + 6
Step-by-step explanation:
To simplify, combine like terms. The only like terms here are the -2.15m and 10.3m because they both have a variable next to them.
Add the numbers together and leave the variable the same.
-2.15m+10.3m = 8.15m
Answer:
8.15m + 6
Step-by-step explanation:
-2.15m + 6 + 10.3m
combine like terms: -2.15 + 10.3 = 8.15
8.15m + 6
Lashonda is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?
Answer:
The game costs $9
Step-by-step explanation:
I wrote an equation using the variable "t" for the total cost of the game.
6=2/3t
t=6/2/3
t=(6/1)(3/2)
t=18/2
t=9
Jimmy is going to the store to buy candles. Small candles cost $3.50 and large candles cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80.
Let x represent the number of small candles and y represent number of large candles.
(a) Write a system of linear inequalities to represent the situation.
(b) Identify 2 solutions to the system of linear inequalities.
(c) Verify both solutions are valid by showing work to verify they satisfy both linear inequalities.
Answer:
hmmmm (A) Write a system of linear inequalities to represent the situation.
that I guess ^~^
What is the slope of the line through the points (-4,6) and (-3,-1)
Sandra runs a race which is 7.5 kilometers. How many miles does Sandra run in this race?
Answer:
4.66028 miles
Step-by-step explanation:
How can 85% be broken down with friendly percents to find 85% of a number?
Answer:
it would be C
Step-by-step explanation:
5(10%)+25%
Answer: options:
2(25%) + 3(10%)
3(25%) + 10%
5(10%) + 25%
4(10%) + 2(25%)
b. the answer is 3(25%)+ 10%
Step-by-step explanation:
hope this helps!
5x+40 factorising fully
Answer:
5(x+8)
Step-by-step explanation:
because 5×x=5x
5×8=40
altogether it is 5x+40.
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Answer:
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
= a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
About 3/5th of the registered voters participated in 2016 election. California has 25 million registered voters. Find the number of registered voters who participated in 2016 election.
Answer:
Step-by-step explanation: 3x5=7056 = x25 2016
1. What is the goal of factoring a quadractic?
2. What is the discriminant?
3. What is meant by completing a square?
Answer:
Completing the square on a quadratic equation in standard form results in the quadratic formula, which expresses the solutions in terms of a, b, and c. Solutions to problems that can be expressed in terms of quadratic equations were known as early as 2000 BC. Because the quadratic equation involves only one unknown, it is called " univariate "
Step-by-step explanation:
write an equation for the line passing through the points (3,-6) and (-9,-6) y=mx+b format.
Answer:
y=-6
Step-by-step explanation:
First, find the slope of the two coordinates using the slope formula:
Slope formula: y2-y1/x2-x1
Plug the numbers into the formula and solve:
-6--6/-9-3 = 0
Now,use the slope and one of the coordinates to put the line in point-slope form
Point slope: y-y1=m(x-x1)
y+6=0(x-3)
Simplify
y+6=0-0
y=-6
Which is equivalent to 16^3/4x
Find the area. Round to the nearest hundredth if necessary
State the operations used to solve the following equation. 2x + 8 = 9
A
Subtract 8 from both sides, divide by 2 on both sides.
B.
Add 8 to both sides, multiply by 2 on both sides.
С
Divide by 2 on both sides, subtract 8 from both sides.
D
Subtract 9 from both sides, divide by 9 on both sides.
Answer:
a
Step-by-step explanation:
Find cos(a) in the triangle.
Answer:
cos(α) = 24/25.
Step-by-step explanation:
First of all, we'll find the answer just using the fact that ABC is a right triangle in C. So, by the definition of cosine:
[tex]\cos(\alpha) = \dfrac{AC}{AB}\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]
Now, we'll solve the question with another approach. By the Law of Cosines in the triangle ABC:
[tex]BC^2 = AB^2+AC^2-2\cdot AB\cdot AC\cos(\alpha)\\\\7^2 = 25^2+24^2-2\cdot 25\cdot 24\cos(\alpha)\\\\49 = 625+576-1200\cos(\alpha)\\\\1200\cos(\alpha)=1152\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]
You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as you. You collect 15 objects. Your friend collects 30 objects. How many rocks and how many fossils do you each collect?
Answer:
I got 9 rocks and 6 fossils and my friend got 27 rocks and 3 fossils
Step-by-step explanation:
if it cost $5980 to have a picket fence installed around a rectangular lot that is 110 ft by 150 ft how much will it cost to have a picket fence installed around a rectangular light that is 125 ft by 170 ft
Answer:
6785 dollars
Step-by-step explanation:
It cost 5980 dollars for a rectangular lot that is 110 ft by 150 ft. 110 + 150 = 260. 5980/260=23. 125 + 170= 295. 295 x 23= 6785.
(Please help fast I have like 20 minutes to answer the question )
Answer:
2/3 / 1/6
4/6 / 1/6
1/6 can go into 4/6 4 times. the answer is C; 4
Step-by-step explanation: