Answer:
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
Step-by-step explanation:
Mean for a number of units, which means that the Poisson distribution is used to solve this question.
Poisson Distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Mean:
3 defective for 1000, how many for 50?
3 - 1000
[tex]\mu[/tex] - 50
Applying cross multiplication:
[tex]\mu = \frac{3*50}{1000} = 0.15[/tex]
What is the probability that an order of 50 units will have one or more faulty units?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.15}*(0.15)^{0}}{(0)!} = 0.8607[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8607 = 0.1393[/tex]
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
What is 3/5 × 5 1/3 how do you do this problem
Answer:
3.2
Step-by-step explanation:
3.2 is correct
plz help me plz plz plz plz plz
Step-by-step explanation:
456 x 3 = 1368 (goes to the left)
72 x 36 = 2592 (goes to the right)
594 x 4 = 2376 (goes to the right)
180 x 19 = 3420 ( goes to the right)
139 x 13 = 1807 (goes to the left)
2. Panthers' points during the basketball season
82 95 85 80 78 82 86 96 73 68 91
80 90 86 72 87
Answer:
[tex]\bar x = 83.1875[/tex]
Step-by-step explanation:
Required
Determine the arithmetic mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{82 +95 +85 +80 +78 +82 +86 +96 +73 +68 +91+ 80+ 90+ 86 +72 +87}{16}[/tex]
[tex]\bar x = \frac{1331}{16}[/tex]
[tex]\bar x = 83.1875[/tex]
Line l is parallel to line e in the figure below.
Parallel lines e and l are crossed by lines m and n to form 2 triangles. At the intersection of parallel line e with line n is angle q, and with line m is angle 3. Angle 2 is the third angle. At the intersection of parallel line l and m is 6, at line n is 4. The third angle is 5.
Which statements about the figure are true? Check all that apply.
Vertical angles prove that Angle 1 is congruent to angle 4.
Vertical angles prove that Angle 2 is congruent to angle 5.
The triangles are similar because corresponding sides are congruent.
The triangles are similar because alternate interior angles are congruent.
In the similar triangles, Angle 3 and Angle 6 are alternate interior angles.
In the similar triangles, Angle 3 and Angle 4 are corresponding angles.
Answer:
A B D
Step-by-step explanation:
correct.
Answer:
abd edge 2022
Step-by-step explanation:
Can someone please help me with and explain this?
Answer:
A
Step-by-step explanation:
Point R is (1, 5).
The transformation (x + 1, y - 1) denotes a translation of one unit to the right and one unit downwards.
Simply add one to the x-coordinate and subtract one to the y-coordinate of R. Hence:
[tex]R'=((1)+1, (5) -1)=(2, 4)[/tex]
Next, we want to dilate RUST by a scale factor of three. Since the dilation is centered on the origin, we can simply multiply each coordinate by three. This yields:
[tex]R'=(3(2), 3(4))=(6, 12)[/tex]
Our answer is A.
How to solve?
-6+K
--------- = -9
2
Will Mark Brainlest. find the empherical probabilty of
(a).getting 3
(b).getting less than 4
(c).getting 5
Step-by-step explanation:
P= number of favorable outcomes / Number of possible outcomes
(a) Getting 3
P(3)
=18/100
=9/50
=0.18
(b) Getting less than 4
P(1) +P(2) +P(3)
=20/100+15/100+18/100
=(20+15+18)/100
=53/100
=0.53
(c) Getting 5
P(5)
=14/100
=0.14
Brainliest~please
Help me find the missing number # 9,10 & 12 please thank you
7(5f-3n)-8 use n=3 and f=7
Answer:
174
Step-by-step explanation:
plug all of the variables in first
7(5(f) - 3(n)) - 8
7(35 - 9) - 8
7(26) - 8
182 - 8
174
Answer:
174
Step-by-step explanation:
7(5f-3n)-8
n=3 f=7
7(5*7 - 3*3) -8
Parentheses first
Multiply inside
7(35 - 9) -8
Subtract inside the parentheses
7(26) -8
Multiply
182-8
Subtract
174
Write the rate and unit rate for each phrase given below.
1) 80 inches of snow over 10 days
Rate :
Unit Rate :
2) 3 comic books for 3 dollars
Rate :
Unit Rate :
3) 5 pounds of potatoes cost $10
Rate :
Unit Rate :
Solve the following inequality: 3-5x-x^2>=0
Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37 /−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
17
Select the correct answer.
Which is a measure of the efficiency of an investment?
ОА.
return rate
OB
return on investment
OC efficiency coefficient
Reset
Next
Answer:
B = Return of Investment
It is believed that students who begin studying for final exams a week before the test score differently than students who wait until the night before. Suppose you want to test specifically that students who study earlier have an average score that is less than the average score for students who wait to study. What are the hypotheses for this test if early studiers are group 1 and procrastinators are group 2
Answer:
H0 : μ1 = μ2
H0 : μ1 < μ2
Step-by-step explanation:
Given :
Early studiers, group 1, mean μ1
Late studiers, group 2 ; mean, μ2
To test the claim that students who study earlier have an average score that is less than the average score for students
The null hypothesis ; there is no difference in average score
H0 : μ1 = μ2
Alternative hypothesis is early studiers means is less than average score of late studiers
H0 : μ1 < μ2
Which equation represents a line that passes through (-2, 4) and has a slope of 2/3
Look at the two 2s in this number:
Which of these statements is true? Choose all that apply.
A
The blue 2 on the left is 200 times the value of the orange 2 on the right.
B
The blue 2 on the left is 100 times the value of the orange 2 on the right.
C
The blue 2 on the left is 10 times the value of the orange 2 on the right.
D
The blue 2 on the left is equivalent to the orange 2 on the right.
E
The orange 2 on the right is 110\frac 1{10}
10
1
of the value of the blue 2 on the left.
A new update is available Refresh
Answer:
The blue 2 on the left is 10 times the value of the orange 2 on the right.
Step-by-step explanation:
13/10+2/100=?/100 do you guys know what it os
Answer:
132/100 or 1.32
Step-by-step explanation:
13/10=130/100
130/100+2/100=132/100
Answer:
132
Step-by-step explanation:
13/10+2/100=?/100
Get a common denominator of 100 for the first term
13/10 * (10/10) +2/100=?/100
130/100 + 2/100 = ?/100
132/100 = ? /100
Explain how special right triangles, reference angles, and quadrants of a coordinate grid help us find the exact answer to the following: cos 210°.
9514 1404 393
Answer:
cos(210°) = -(√3)/2
Step-by-step explanation:
The terminal ray of a 210° angle is in the third quadrant. The angle it makes with the -x axis is (210° -110°) = 30°. This is the "reference angle". In the 3rd quadrant, the x-coordinate of the terminal ray's intersection with the unit circle has a negative sign. This will be the sign of the cosine of the angle.
__
The reference angle of 30° tells you that the trig functions of the angle can be found from the side ratios of the "special right triangle" with angles of 30°, 60°, and 90°. The side ratios, shortest to longest, in that triangle are 1 : √3 : 2.
The cosine of the angle is the ratio ...
Cos = Adjacent/Hypotenuse
In the above special triangle, the side adjacent to the 30° angle is the one that is √3 ratio unis. The hypotenuse is 2 ratio units. So, the cosine of 30° is ...
cos(30°) = (√3)/2
As we said above, the sign of the adjacent side of the reference angle for 210° has a negative value. (The hypotenuse is always considered to be positive.) Then the desired cosine is ...
cos(210°) = -cos(30°)
cos(210°) = -(√3)/2
PLEASE HELP ME FIND THE AREA
1. A baseball is thrown directly upward with
an initial velocity of 96 feet per second
from an initial height of 7 feet. The height
of the ball (in feet) after t seconds is given
by the formula h(t) = -16 t + 96t + 7.
a) After how many seconds will the ball
reach its maximum height?
b) What is that maximum height?
Answer:
a) The ball reaches it's maximum height after 3 seconds.
b) The maximum height of the ball is of 151 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
The height of the ball is modeled by:
[tex]h(t) = -16t^2 + 96t + 7[/tex]
So a quadratic equation with [tex]a = -16, b = 96, c = 7[/tex]
a) After how many seconds will the ball reach its maximum height?
t-value of the vertex. So
[tex]t_{v} = -\frac{96}{2(-16)} = 3[/tex]
The ball reaches it's maximum height after 3 seconds.
b) What is that maximum height?
h of the vertex.
[tex]\Delta = b^2 - 4ac = (96)^2 - 4(-16)(7) = 9664[/tex]
[tex]h_{v} = -\frac{9664}{4(-16)} = 604[/tex]
The maximum height of the ball is of 151 feet.
The points plotted below are on the graph of a polynomial. Some of the roots to this polynomial are integers. Which of the following x-values are roots of the polynomial? Check all that apply.
Answer:
I think its B but I have very little evidence. Don't even put B but I was just saying I think it is.
Step-by-step explanation:
1. Mars states that of the M&M's they produce for their regular bags of M&M's that 20% are
yellow, 20% are red, 10% are orange, 10% are blue, 10% are green, and the rest are brown
a. If you were to pick an M&M at random, what is the probability that:
i. It is brown?
It is yellow or orange?
It is NOT green?
Answer:
it is brown.
Step-by-step explanation:
100%-20%-20%-10%-10%-10%=30%
most=30%
Answer:
It is brown
it is not green
Step-by-step explanation:
100%-20%-20%-10%-10%-10%=30%
yellow = 20%
orange = 10%
green = 10%
so, it is brown and it is not green.
If f(x) = 2x2 + 2 and g(x) = x2 - 1, find (f - g)(x)I
A. 3x2 + 1
B. x + 1
C. x2 + 3
D. 3x2 + 3
9514 1404 393
Answer:
C. x^2 + 3
Step-by-step explanation:
Substitute for f(x) and g(x) and simplify.
(f -g)(x) = f(x) -g(x)
(f -g)(x) = (2x^2 +2) -(x^2 -1) = 2x^2 +2 -x^2 +1
(f -g)(x) = x^2 +3
If the news gives a prediction of a 75% chance of rain tomorrow, what is the probability that it will not rain tomorrow?
Plz ASAP with explanation please
Answer:
25%
Step-by-step explanation:
There is always a total of 100% probability, no matter how many options there are. In this case, it either rains or it doesn't. If there is a 75% chance of rain, the chance of no rain must combine with 75% to make 100%. 100% - 75% = 25%.
What is the slope of y = - 4X -3
Answer:
the slope is -4
Step-by-step explanation:
the y intercept is (0,-3)
graph the function h (x)=4x-7
Answer:
abcdefghijklmnopqrstuvwxyz
Step-by-step explanation:
zyxwvutsrqponmlkjihgfedcba
Which summation formula is equivalent to the one below?
^3Σn=0 (-1/5)^n (25)
Answer:
It's A
Step-by-step explanation:
Because it's A
Answer:
A
Step-by-step explanation:
3 ∑ n=0 (-1/5)^n x 25 = 104/5
option A also = that so A
2 x 3.6 find the product
Answer:
7.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 x 3.6 = 7.2
Which graph represents the equation 2x + y = 2
What is the slope of the line with points (-3, 2) and (-3, -2)?
Answer:
-4
Step-by-step explanation:
(-3 , 2) = (x1 , y1)
(-3 , -2) = (x2 , y2)
slope (m) = y2 - y1/x2 - x1
=-2-2/-3-(-3)
=-4/-3+3
=-4/0
=-4
Answer:
No slope.
Step-by-step explanation:
We want to find the slope of the line with the points (-3, 2) and (-3, -2).
To find the slope of any line, we can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can let (-3, 2) be (x₁, y₁) and (-3, -2) be (x₂, y₂). Substitute:
[tex]\displaystyle m=\frac{(-2)-(2)}{(-3)-(-3)}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{-2-2}{-3+3}=\frac{-4}{0}[/tex]
Anything divided by zero is undefined.
Therefore, the slope does not exist. The line has no slope.
If you plot the two points and graph the line, you can see that it is a vertical line. If you recall, vertical lines have no slopes.
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.
Answer: its 9
Step-by-step explanation: just took the test lol