Answer:
0.2240418 ; 0.57681
Step-by-step explanation:
Given the information above :
A) What is the probability of exactly three arrivals in a one-minute period?
Using poisson probability function :
p(x ; m) = [(m^x) * (e^-m)] / x!
Here, m = mean = 3, x = 3
P(3 ; 3) = [(3^3) * (e^-3)] / 3!
P(3;3) = [27 * 0.0497870] / 6
= 1.3442508 / 6
= 0.2240418
B) What is the probability of at least three arrivals in a one-minute period?
Atleast 3 arrivals
X >= 3 = 1 - [p(0) + p(1) + p(2)]
P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870
P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612
P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418
1 - [0.0497870 + 0.1493612 + 0.2240418]
1 - 0.42319 = 0.57681
A rectangle is 5 times as long as it is wide. If the area is 45 square feet, find its perimeter.
Answer:
225 sq ft
Step-by-step explanation:
If the rectangle is 5 times as long as it is wide and the area is 45 sq ft then that would make it 225 sq ft. Happy to help!
Frank needs 3.6 meters of ribbon to wrap gifts for friends this year. If each spool contains 90 cm of ribbon,how many spools will Frank need to purchase?
Answer:a lot
Step-by-step explanation:
Point U is located at (1,-4) on the coordinate plane. Point U is reflected on
-axis to create point U'. What ordered pair describes the location of U'?
Given :
A point U located at (1,-4) on the coordinate plane.
To Find :
The reflection of point U on x-axis.
Solution :
Reflection of any point ( h , k ) on x-axis is ( h , - k ) .
So , the reflection of point U i.e ( 1 , -4 ) is ( 1 , 4 ) .
Therefore , the ordered pair describes the location of U' is ( 1 , 4 ).
Hence , this is the required solution .
Use the map to find the distance between Brookline and Davenport to the nearest tenth
Answer:
8.5
Step-by-step explanation:
The distance between Brookline(8, 2) and Davenport(5, 10) can be calculated using the distance formula given as [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y1)^2} [/tex].
Let,
[tex] Brookline(8, 2) = (x_1, y_1) [/tex]
[tex] Davenport(5, 10) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(5 - 8)^2 + (10 - 2)^2} [/tex]
[tex] d = \sqrt{(-3)^2 + (8)^2} [/tex]
[tex] d = \sqrt{9 + 64} = \sqrt{73} [/tex]
[tex] d = 8.5 [/tex] (nearest tenth)
write the sentence as a equation
b is 380 more than the quality y times 268
Alternate Interior Angles Theorem a. b. c. Corresponding Angles Flow Proof a. b. c. d. e. Proof Diagram a. b. c.
Answer:
Step-by-step explanation:
(1). m∠5 = 40° → (a) Given
m∠2 = 140° → (b) Given
∠5 and ∠2 are supplementary angles → (c) Interior angles on the same side of the transversal.
∠5 and ∠2 are the same side interior angles → (d) Both angles are supplementary
a║b → (e) By interior angles theorem of the parallel lines.
(2). Statements Reasons
1. l║n 1. Given
2. ∠2 ≅ ∠6 2. Corresponding angles
3. ∠4 ≅ ∠2 3. Vertical angles
4. ∠6 ≅ ∠4 4. Transitive property of equality
(3). Statements Reasons
1. ∠1 ≅ ∠5 1. Given
2. ∠4 ≅ ∠1 2. Vertical angles
3. ∠4 ≅ ∠5 3. Alternate interior angles
4. p║r 4. Definition of parallel lines
forget this ever happened at all
Answer:
i- isnt it 2-
Step-by-step explanation:
1 + 1 is 2
i hope this helped?
Simplify the given expression below:
(-5 + 3i) times(1 - 2i)
Answer:
Step-by-step explanation:
Hello,
[tex](-5+3i)\times(1-2i)=-5(1-2i)+3i(1-2i)\\\\=-5+10i+3i-6i^2\\\\=-5+13i+6\\\\\boxed{=1+13i}[/tex]
Thanks
Answer:
Same answer as the other person, it is 1 + 13i
Step-by-step explanation:
They were first and is right so I don't think I have to put down a explanation! ^^
Please 5 stars and thank me if I'm right! -w-
A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its premium lagers, they bottle 40% Half Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a sample of consumers, 27 preferred the Half Pint lager, 29 preferred the XXX lager, and 24 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences using a 0.05 level of significance. State the value of the test statistic. (Round your answer to two decimal places.) $ \chi_{obt}^2 $
Answer:
reject the null hypothesis
Step-by-step explanation:
Total observation = 27+49+24 = 100
Expected Frequency :
Half Pint = 100 × 0.4 = 40
XXX = 100 × 0.4 = 40
Dark night = 100 × 0.2 = 20
The Chi-square goodness-of-fit test can be computed as follows:
Observed Expected [tex]X^2 = \dfrac{(O- E)^2}{E}[/tex]
Frequency(O) Frequency (E)
Half- 27 40 4.225
Pint
XXX 29 40 3.025
Dark- 24 20 0.8
night
Total 100 100 8.05
The test statistics [tex]X^2[/tex] = 8.05
8.05
degree of freedom = n -1
degree of freedom = 3 - 1
degree of freedom = 2
The p-value can be computed by using the EXCEL FORMULA (=CHIDIST(8.05,2)
p-value = 0.01786
Since the p-value is less than the level of significance, we reject the null hypothesis
Also using the critical value approach from the EXCEL FUNCTION;
critical chi-square (=CHIINV(0.05,2) = 5.99
[tex]X^2 > 5.99[/tex], therefore, we reject the null hypothesis
9 and 26 find the LCM
Answer:
The answer is 234
Step-by-step explanation:
Another college precalculas question, please and thank you!
Answer:
B) (-∞,∞)
Step-by-step explanation:
The domain is the x-values, so it’s all real numbers in this graph.
I would use interval notation and choose B) (-∞,∞)
The range is the y-values, so it’s (2,-1), if that’s the next question.
3
Type the correct answer in each box. Use numerals instead of words.
Complete the table of inputs and outputs for the function.
f(x) = -5(x + 7)
-9
0
0
-60
Reset
Next
Answer:
(-9,10),(-7,0)(0,-35)(5,-60)
Step-by-step explanation:
Which expression is equivalent to 1/2 x + (-70) - 2 1/4 x - (-2) *
Answer:
-7/4x-68
Step-by-step explanation:
2/7+3/8= Please I don’t know what to do so can you help me
37/56 is the answer
you can cross multiply
Answer:
37/56
Step-by-step explanation:
Find the least common multiple of the denominators (56).
7x8=56
8x7=56
2x8=16
3x7=21
16+21=37
37/56
What is the y in the equation? 15-y-3y=17
historians label an event as a turning point when it
Answer:
F
Step-by-step explanation:
Answer:
Historians label an event as a turning point when it marks the beginning of a distant historical period
Step-by-step explanation:
Precalc Help me Please
We just need to solve for y when x = -2
Solution:
y = 2|-2 + 1|
y = 2|-1|
y = 2(1)
y = 2
Therefore, the answer is Option 3
Best of Luck!
Items 2-4. Points P, Q, and Sare
collinear.
(3x - 5)
0
(x + 1)
s
2. What is the value of x?
3. What is m ZPQR?
will
11. M
4. If a ray QT bisects ZRQS, what
will be the measure of one of the
resulting angles?
m
of
5. Points L, M, and N are collinear.
You are given LM = 5 and LN = 17.
What is a possible value of MN?
Flb
6. Ray BD bisects ZABC so that
mZDBC = x + 6 and
mZABD = 2x - 12. What is x?
Answer:
See below
Step-by-step explanation:
2......................
∠PQR and ∠RQS are supplementary, which add up 180°
∠PQR = 3x - 5∠RQS = x + 1Sum:
3x - 5 + x + 1 = 1804x - 4 = 1804x = 184x = 46°3......................
∠PQR = 3x - 5 = 3*46° - 5° = 138° - 5° = 133°4......................
From the picture and the value of x we got above:
∠RQS = x + 1 = 46 + 1= 47°QT bisects ∠RQS and we get two equal angles
Each will measure:
47°/2 = 23.5°5......................
LM = 5, LN = 17, MN = ?
If L is between M and N, then
MN = LM + LN = 5 + 17 = 22M is between L and N, then
MN = LN - LM = 17 - 5 = 125......................
Ray BD bisects ∠ABC, then formed angles are equal:
m∠DBC = x + 6 m∠ABD = 2x - 12m∠DBC = m∠ABD
x + 6 = 2x - 122x - x =6 + 12x = 18°Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the larger angle?
Answer:
C
Step-by-step explanation:
4x-5+x=180. Add 5 to both sides
5x=185. Divide by 6
X=37
180-37=143
143
what is the mathematical symbol for 0 is an integer
Answer:
0
Step-by-step explanation:
there is no symbol for 0
Find the area of the parallelogram shown below.60 squ
Answer:
A
Step-by-step explanation:
The area for a parallelogram is given by the formula:
[tex]A=bh[/tex]
Where b is the base length and h is the vertical height.
The base length is 6 and the height is 10 (if you flip the figure 90 degrees). So:
[tex]A=6(10)[/tex]
Multiply:
[tex]A=60\text{ units}^2[/tex]
Our answer is A.
And we're done!
Write a story that includes both integers -10 and 12.
Answer:
In Alaska, it was -10 degrees in the morning and rose by 12 degrees.
Step-by-step explanation:
plz help quicky.......................................
Please answer the question. Thank you.
A survey of 500 farmers showed that of the farmers, 121 grew only wheat, 108 grew only corn, 92 grew only oats, 195 grew wheat, 59 grew wheat and corn, 48 grew wheat and oats, and 176 grew corn. Determine the number of farmers who a) grew at least one of the three, b) grew all three, c) did not grow any of the three, and d) grew exactly two of the three.
Answer:
The farmers in regions II, IV, and VI had exactly two of the three Summing the numbers in these regions 25 + 15 + 10 we find the that 50 farmers grew exactly two of the three.
An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21,000 ft., what is the distance (x) from the plane (P) to the observer (O)?
Answer:
Step-by-step explanation:
The givens form a right triangle. The operational definition is The opposite over the hypotenuse, where the hypotenuse is the unknown.
sin(x) = 21000/hypotenuse
sin(55) = 21000 / hypotenuse
hypotenuse * sin(55) = 21000
hypotenuse = 21000/sin(55)
hypotenuse = 25636 feet.= 26000 feet rounded.
The answer does make sense. The hypotenuse is larger than the given height.
Temp went from -16 to 7.What was the change in temperature
Answer:
Change in temperature is +23 degrees.
Answer:
23 DegreesStep-by-step explanation:
To solve this, we set up an equation:
T = 7 - -16
This can be rewritten as:
T = 7 + 16
T = 23
___________________________________________________I AM ALWAYS HAPPY TO HELP :)(10x^4+5x^3+4x^2-9)(x-1)
Answer:
10x3 - 5x2 + 9x - 9
Step-by-step explanation:
10x4 + 5x3 + 4x2 - 9
Simplify ————————————————————
x + 1
Answer:
10x^5 - 5x^4 - x^3 - 4x^2 - 9x + 9
Step-by-step explanation:
(10x^4+5x^3+4x^2-9) × (x-1)
10^5 - 10x^4 + 5x^4 -5x^3 +4x^3 - 4x^2 -9x + 9
Collect Like terms
10^5 - 10x^4 + 5x^4 -5x^3 +4x^3 - 4x^2 -9x + 9
10^5 - 5x^4 -x^3 - 4x^2 -9x + 9
Final Answer
10x^5 - 5x^4 - x^3 - 4x^2 - 9x + 9
please answer thank you!
Answer:
C
Step-by-step explanation:
0.01 is...........0.01
Answer:
=
Step-by-step explanation:
0.01 is = to 0.01