Answer: 0.1595
Step-by-step explanation:
Poisson Distribution Formula
[tex]$$P(\mathrm{X}=x)=\dfrac{\lambda^{x} e^{-\lambda}}{x !}$$\\\text{ where }$x=0,1,2,3, \ldots$\\\\$\lambda=$ mean number of occurrences in the interval\\\\$e=$ Euler's constant $\approx 2.71828$[/tex]
Here, [tex]\lambda= 6.3[/tex]
x= 6
[tex]P(X=6)=\frac{6.3^6e^{-6.3}}{6!}[/tex]
[tex]\approx0.1595[/tex]
Hence, the probability of having exactly six (6) errors on a page = 0.1595
Please help!
What is g(x)?
Answer:C
Step-by-step explanation:
additive inverse of -33
Additive Inverse of -33
༆ANSWER:—————————————————
[tex]\purple{\boxed{\boxed{\tt\pink{➢33}}}}[/tex]
The additive inverse of -33 is 33.Remember!»The opposite of the given integer is called its additive inverse. The sum of a number and its additive inverse is zero. For example, the additive inverse of -4 is 4, so when you add the two integer they sum will be zero.
Find the mean of the following data set 5,9,3,12,14,67,22,45,1,12,14
Answer:
18.5 i believe
Step-by-step explanation:
sorry if im wrong, have a great day!!
Suppose that inches of wire costs cents.
At the same rate, how many inches of wire can be bought for cents?
Answer:
11 inches
Step-by-step explanation:
Given :
15 in of wire = 90 cents
At the same rate :
x inch of wire = 66 cents
Cross multiply :
90x = 15 * 66
90x = 990
x = 990 / 90
x = 11
11 inches of wire
The probability that a student is accepted to a prestigious college is 0.3. If 5 students from the same school apply, what is the probability that at most 4 are accepted
Answer:0.849185
Step-by-step explanation:
Binomial probability formula we will use:
[tex]$P(x)=\frac{n !}{x !(n-x) !} p^{x} q^{n-x}$[/tex]
where,
[tex]n=5$\\$\mathrm{P}$ (probability of success) $=0.3$\\q=1-p[/tex]
The computation of the probability will be :
[tex]$P(x \leq 2 ; 5,0.3)=P(x=0 ; 5,0.3)+P(x=1 ; 5,0.3)+P(x=2 ; 5,0.3)+P(x=3 ; 5,0.3)$\\$=\left[\frac{5 !}{5 !(5-0) !}(0.3)^{0}(1-0.3)^{5-0}\right]+\left[\frac{5 !}{5 !(5-1) !}(0.3)^{1}(1-0.3)^{5-1}\right]$$+\left[\frac{5 !}{5 !(5-2) !}(0.3)^{2}(1-0.3)^{5-2}\right]$$++\left[\frac{5 !}{5 !(5-3) !}(0.3)^{3}(1-0.3)^{5-3}\right]$$++\left[\frac{5 !}{5 !(5-4) !}(0.3)^{4}(1-0.3)^{5-4}\right]$\\$=0.1681+0.3601+0.3087+0.006615+0.00567$\\$\Rightarrow 0.849185$[/tex]
The probability that at most 4 are accepted = 0.849185
The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!
Answer:
The answer is below
Step-by-step explanation:
a) Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It states that the square of the hypotenuse is equal to the sum of the square of the legs of the triangle.
Let x be the length of the hypotenuse, using Pythagoras:
x² = 25² + 25²
x² = 1250
x = 35 (to the nearest whole number)
b) Using sine rule:
[tex]\frac{x}{sin(90)} =\frac{25}{sin(45)} \\\\x=\frac{25}{sin(45)} *sin(90)\\\\x=35(to \ nearest\ whole\ number)[/tex]
Make congruent angles. Write down the ratios.
Answer:
Ratio=BG/RT=RA/BA=TA/AG
Step-by-step explanation:
A and B are mutually exclusive events.
P(A) = 0.60 and P(B) = 0.30. What is P(A or B)?
A. 0.90
B. 0.15
C. 0.18
O D. 0.72
The value of P(A or B) if the probabilities are mutually exclusive is 0.9
Mutually exclusive eventsGiven the following probability values shown below;
P(A) = 0.60
P(B) = 0.30
If A and B are mutually exclusive, hence;
P(A or B) = P(A)+P(B)
P(A or B) = 0.6 + 0.3
P(A or B) = 0.9
Hence the value of P(A or B) if the probabilities are mutually exclusive is 0.9
Learn more on mutually exclusive events here: https://brainly.com/question/27588497
#SPJ1
Find the equation of the parabola which has the given vertex V, which passes through the given point P, and which has the specified axis of symmetry. V(4,−2),P(2,14), vertical axis of symmetry.
Answer:
[tex]y = 4(x - 4)^2 - 2[/tex]
or
[tex]y=4x^2 -32x + 62[/tex]
Step-by-step explanation:
Given
[tex]V = (4,-2)[/tex] --- vertex
[tex]P = (2,14)[/tex] --- point
Required
The equation of the parabola
The equation of the parabola is of the form
[tex]y = a(x - h)^2 + k[/tex]
Where
[tex]V (4,-2) = (h,k)[/tex] ---- the vertex
So, we have:
[tex]y = a(x - h)^2 + k[/tex]
[tex]y = a(x - 4)^2 - 2[/tex]
In [tex]P = (2,14)[/tex], we have:
[tex](x,y) = (2,14)[/tex]
Substitute [tex](x,y) = (2,14)[/tex] in [tex]y = a(x - 4)^2 - 2[/tex]
[tex]14 = a(2 - 4)^2 - 2[/tex]
[tex]14 = a(- 2)^2 - 2[/tex]
[tex]14 = a*4 - 2[/tex]
[tex]14 = 4a - 2[/tex]
Collect like terms
[tex]4a = 14 +2[/tex]
[tex]4a = 16[/tex]
Divide both sides by 4
[tex]a= 4[/tex]
So:
[tex]y = a(x - 4)^2 - 2[/tex] becomes
[tex]y = 4(x - 4)^2 - 2[/tex]
Open bracket to express the equation in standard form
[tex]y=4(x^2 -8x + 16) - 2[/tex]
[tex]y=4x^2 -32x + 64 - 2[/tex]
[tex]y=4x^2 -32x + 62[/tex]
This question is asking what is the missing term can someone help please.
Answer:
-4
Step-by-step explanation:
From the question, we can deduce that the algebraic expression is a multiplication of a number and a variable.
First instance;
Number = +1
variable= x
Output = -4
+1 * x = -4
x = -4/1 = -4
Second instance;
Let the unknown number be y.
Number = y
variable= 2x
Output = -8x
y * 2x = -8x
y = -8x/2x
y = -4
Check:
2x * -4 = -8x
find the area of the figure. round your answer to the nearest hundredth
Answer:
im sorry i cant these numbers
Step-by-step explanation:
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is __________ .
Answer:
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%
Step-by-step explanation:
Complete question
Please find the attachment
Solution
The frequency distribution is as follows
Interval Frequency Cumulative Frequency Relative Cumulative Frequency
1 to 5 8 8 0.16
6 to 11 8 16 0.32
11 to 15 13 29 0.58
16 to 20 9 38 0.76
21 to 25 3 41 0.82
26 to 30 4 45 0.9
31 to 35 3 48 0.96
36 to 40 2 50 1
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 0.68.
From the given figure (image 1)
The cumulative frequency of students who earned a score of 20 or lower on the quiz is = 4+8+15+7=34.
Total frequency is = 4+8+15+7+7+3+4+2=50.
So the relative cumulative frequency is = 34/50 = 0.68 = 68%
Learn more: https://brainly.com/question/13646998
round 8,437 to the nearest whole number
Answer:
the answer is 8,000.
Step-by-step explanation:
Confusion .. help please
Answer:
2
Step-by-step explanation:
We are to determine the value of KM which is adjacent to angle 35. we also have the value for the hypotenuse. Thus we would use COS
Cos 35 = adjacent /hypotenuse
0.8192 = adjacent / 123
adjacent = 0.8192 x 123 = 100.7557 cm
100.8 cm
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Whenever she visits Allenville, Maureen has to drive 48 miles due north from home. Whenever she visits Weston, she has to drive 14 miles due east from home. How far apart are Allenville and Weston, measured in a straight line?
Answer:
34 i belive not 100% sure but what grade level is this
Step-by-step explanation:
Help for these 3 right answer will get brainliest.
Answer:
will you help me with grade 9 math, algebra 2 please
Step-by-step explanation:
the area of a circle is 64π ft2. what is the circumference in feet? Express your answer in terms of π
Answer:
12π ft
Step-by-step explanation:
~Refer to the attachment for the solution. :)
Kurtosis of a normal data distribution is a ___________________ Group of answer choices Measure of data centrality Measure of data quality Measure of data shape Measure of data dispersion
Answer:
Option A, Measure of data centrality
Step-by-step explanation:
Normal distribution curve determines the skewness of the data as to what extent is is disoriented from the normal distribution curve. Also, it is the probability distribution curve that determines whether the data set is two legged, one legged or it lies under which probability curve.
Hence option A is correct
The two way table shows the results of a survey that asked high school students whether they have a job.
can someone please help me with this
Answer:
Surface Area = 139.4 (rounded to nearest tenth)
i need this done fast
Answer: 1) V≈1244.07 in 2) V≈54286.72 ft 3) V≈23816.41 yd
Step-by-step explanation:
PLEASE HELPPPP MEEEEE, JUSTFIY PLZZ
Answer:
a. Unsure
b. True
c. Unsure
d. True
A - False
B - True
C- False
D- True
Help me please I’m begging worth 40 points!!!!!
Slope Formula
What is the slope of the line with points (-3, -3) and (-1, - 2)?
Answer:
1/2
Step-by-step explanation:
Slope can be expressed with the formula below
Which is is the difference in y axis over that of x axis
m=( y2 - y1)/(x2 - x1)
( x1 y1) = (-3, -3)
x2 y2)= (-1, - 2)
= ( -2+3)/(-1+3)
m= 1/2
Hence, the slope of the line is 1/2
What is the greatest common factor of the two terms
24x^6 and 18x^4
30x^3y^5 and 25x^2y
24x⁶ and 18x⁴ —> 6x⁴
30x³y⁵ and 25 x²y —> 5x²y
help me pls pls convert 4/5 into percent
Answer:
4/5 as a percent is 80% or 0.8
Uzupełnij rozwiązanie podanego równania.
a) 4x+ 5 = 2x-3 1-5
b) 4x - 8 = 6 – 3x | +8
4x+5-5=2x-3-5
4x – 8+8 = 6 - 3x + 8
4x=-3x+
1+3x
4x = 2x -_- 2x
4x - 2x =
4x + 3x =
1:2
Answer:
4x+5=2x-3 1-5
4x-2x=-3+1-5-5
2x=-2
[tex] \frac{2x}{2} = \frac{ - 2}{2} [/tex]
x=
[tex]x = \frac{ - 2}{2} [/tex]
Anna bought 3 types of fruit for a fruit salad. She paid three times as much for blueberries as for pears and $2.50 less for strawberries than for blueberries.
If The total cost was $13.25 how much did Anna spend on each type of fruit
Answer:
Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.
Step-by-step explanation:
Given that Anna bought 3 types of fruit for a fruit salad, and she paid three times as much for blueberries as for pears and $ 2.50 less for strawberries than for blueberries, if the total cost was $ 13.25, to determine how much did Anna spend on each type of fruit, the following calculation must be performed:
Pears: X
Blueberries: 3X
Strawberries: 3X - 2.5
X + 3X + 3X - 2.5 = 13.25
7X = 13.25 + 2.5
X = 15.75 / 7
X = 2.25
Pears: 2.25
Blueberries: 3 x 2.25 = 6.75
Strawberries: 3 x 2.25 - 2.50 = 6.75 - 2.50 = 4.25
2.25 + 6.75 + 4.25 = 13.25
Therefore, Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.
the circle below is centered at (-1,1) and has a radius of 3. what is its equation?
Answer:
[tex](x+1)^2 + (y-1)^2 = 9\\\\or\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]
Step-by-step explanation:
[tex](x +1 )^2 + (y -1)^2 = 3^2\\\\x^2 +2x +1 + y^2 + 1 -2y = 9\\\\x^2 + y^2 +2x -2y +2 -9 = 0\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]
Where is point a on the number line?
Answer:
The point A is on 2.5 on the number line.
Step-by-step explanation:
In order to find this answer you need to find where the point labeled A is to have a starting point. Secondly, what two numbers is the point located between or closer to? In this case the point is right between 2 and 3. Which would be a half of a number. So, because the point is located between 2 and 3 we would say that it is 2.5 or 2 and 1/2 because the number on the left of the point is usually a whole number. So, that would be on how you get 2 and 1/2.