Answer:
0.84 = 84% probability that fewer than 3 of the parts are defective.
Step-by-step explanation:
For each part, there are only two possible outcomes. Either it is defective, or it is not. The probability of a part being defective is independent of any other part, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A machine that manufactures automobile parts produces defective parts 16% of the time.
This means that [tex]p = 0.16[/tex]
9 parts:
This means that [tex]n = 9[/tex]
What is the probability that fewer than 3 of the parts are defective?
This is:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.16)^{0}.(0.84)^{9} = 0.2082[/tex]
[tex]P(X = 1) = C_{9,1}.(0.16)^{1}.(0.84)^{8} = 0.3569[/tex]
[tex]P(X = 2) = C_{9,2}.(0.16)^{2}.(0.84)^{7} = 0.2720[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2082 + 0.3569 + 0.2720 = 0.8371[/tex]
Rounding to two decimal places, 0.84.
0.84 = 84% probability that fewer than 3 of the parts are defective.
The top rail of a boat is 4 ft out of the water. If the water rises 3 ft, how far out of
the water is the top rail of the boat?
Answer:
Position of top rail of boat after increasing water level = 1 feet out of water
Step-by-step explanation:
Given:
Position of top rail of boat = 4 feet out of the water
Water level increases = 3 feet
Find:
Position of top rail of boat after increasing water level
Computation:
Position of top rail of boat after increasing water level = Position of top rail of boat - Water level increases
Position of top rail of boat after increasing water level = 4 - 3
Position of top rail of boat after increasing water level = 1 feet out of water
If Sn=2^n-1
what's the expression of
Sn-1?
Answer:
[tex]S(n-1)=2^{n-2}[/tex]
Step-by-step explanation:
Given that,
The value of [tex]S_n=2^{n-1}[/tex]
We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,
[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]
Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].
I need this answer today i will give you a crown and good raitings if you get it write and you give it to me today
Answer:Mean is 22. Median is 19. Mode is 31. Range is 18.
Step-by-step explanation:
Mean: add all the numbers and divide the answer by the number of numbers there were in the beginning.
31+16+13+19+31=110
110/5=22
Median: arrange the numbers in or Eder and find the middle
13,16,19,31,31
The middle is 19.
Mode: is the number that shows up frequently
Mode is 31 as it shows up twice
Range is the difference between the biggest and smallest number
31-13=18
18 is the range.
F(x) = 16x^5
Linear or Non linear
(NO LINKS PLEASE!)
Answer:
y = 16x^5
Step-by-step explanation:
Use the compass and ruler to construct the bisector of the angle given below.
Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.
The next steps show you how to construct the bisector of the angle from a ruler and a compass.
Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.Finally, you have the bisector of the angle that is represented by the green line.
Learn more about the bisector of the angle here:
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Isaac has a games rental business where his customers pay an annual membership and a fixed cost for each game rented. The following table shows the total bill for some new customers who rented different games .
Answer:
(H) is your answer i believe
Step-by-step explanation:
i subtracted 18 from each cost then divided it by 4 and got the numbers of game rented.
help lol plsssss!!?!?
Answer:
3y-x =-6
Step-by-step explanation:
The equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
(x0, y0) is the point = (3, -1)
Given the equation 3xs+y = 1
Get the slope
y = -3x + 1
mx = -3x
m = -3
Since the equation needed is perpendicular to the line, the slope will be expressed as;
M = -1/-3
M = 1/3
Substitute and get the equation needed
y-y0 = m(x-x0)
y - (-1) = 1/3(x-3)
y+1 = 1/3(x-3)
3(y+1) = x-3
3y+3 = x-3
3y - x = -3-3
3y-x =-6
This gives the required equation
scientists released 8 rabbits into a new habitat in year 0
Answer:
A. f(x)= 8(2)^x
Step-by-step explanation:
hope that helped
What must x equal if line a is parallel to line b?
•what type of angles?
•value of x?
Answer:
Corresponding angles
[tex](2x + 35) \degree = 103\degree \\ 2x = (103 - 35)\degree \\ 2x = 68\degree \\ x = 34\degree[/tex]
Which one is the value for x, y and z
Answer:
Option (3)
Step-by-step explanation:
Properties of the equal matrices,
1). Every element of the one matrix are equal to the elements of other.
2). Both the matrices have same dimensions.
If, [tex]\begin{bmatrix}x+3 & y+4\\ 7 & -5\end{bmatrix}=\begin{bmatrix}5 & 0\\ 7 & z\end{bmatrix}[/tex]
[tex]x+3=5[/tex]
[tex]x=2[/tex]
[tex]y+4=0[/tex]
[tex]y=-4[/tex]
[tex]x=-5[/tex]
Therefore, Option (3) will be the correct option.
Determine the level of measurement of the variable below.
Highest degree conferred (high school, bachelors, and so on)
Choose the correct answer below.
A. interval
B. ordinal
C. nominal
D. ratio
You saved $140 on your new laptop because you bought it online. If this was a 10% savings from the original price, find the original cost of the laptop.
Answer:
$155.56
Step-by-step explanation:
Find the original cost by dividing the new cost by 0.9:
140/0.9
= 155.56
So, the original cost was approximately $155.56
The function f(x) is graphed below. Use the graph of the function to find, f(-6). A. -3 B. -1 C. 1 D. 3
Answer:
-3
Step-by-step explanation:
Answer:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
Step-by-step explanation:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
answer -3
Find the area of a circle whose radius is 3½m
Answer:
38.48m squared
Step-by-step explanation:
Area = pi x radius squared
So
3.5 squared is 12.25
12.25 x pi is 38.48
Plz help no links :)
Answer:
C) f(x) = 6.25x + 3
Step-by-step explanation:
In order to know which one of the functions could produce the results in the table we simply need to substitute the number of candy bars for x in the function and solve it to see if it provides the correct total weight shown in the table. If we do this with the functions provided we can see that the only one that provides accurate results would be
f(x) = 6.25x + 3
We can input the # of candies for x and see that it provides the exact results every time as seen in the table.
f(x) = 6.25(1) + 3 = 9.25
f(x) = 6.25(2) + 3 = 15.50
f(x) = 6.25(3) + 3 = 21.75
f(x) = 6.25(4) + 3 = 28
The National Collegiate Athletic Association (NCAA) cares about success for athletes both in their sports and in their education. Imagine a researcher hired by the NCAA wants to know how athletes' academic performance is affected by the stage of their competitive season. She examines performance in the pre-season, throughout the active competitive season, and post-season, having 150 athletes, from across several different sports, assessed during each period. What statistical analysis would be appropriate for this research
Answer:
a. one-way within-groups ANOVA
Step-by-step explanation:
Here, the research question meets the conditions required for a one-way within group ANOVA. One way within group anova allows for comparison between the mean of three or more groups or levels of one independent variable on a dependent variable. In the scenario above, the one independent variable is stage of the season with levels : (pre-season, throughout active season and post season) and the dependent variable being the athletes academic performance. It is a within group ANOVA as all subjects are used to test each level of the independent variable. Which is different from between groups where different subjects are assigned to different groups.
The table shows a pattern for two units of eustomary capacity.
1
4
2
8
3
12
4
Which are the best labels for each column?
A. Gallons, Pups
B. Quarts, Cups
C. Pints, Cups
D. Cups, Fluid Ounces
Which equation is equivalent to the given equation?
-4(1 – 5) + 8x = 9x - 3
Answer: Hello Luv........
Isolate the variable by dividing each side by factors that don't contain the variable.
x=19
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
You have ten box's of ten muffins each, and each muffin has been blueberry. Use an exponent to write an expression for the total number of blueberries
Answer:
I'm pretty sure it's 10 to the power of 3.
Step-by-step explanation:
Add 473 base eight and 362 base eight
Answer:
1055
Step-by-step explanation:
473
+ 362
--------- 3 + 2 = 5, even in base 8
5
Now 7 + 6 = "thirteen" = 15 in base 8 so write 5 in the next column, carry 1
1
473
+ 362
---------
55
1 + 4 + 3 = "eight" = 10 in base 8. Write 0 in the next column, carry 1
1
473
+ 362
---------
1055
Kirsten runs at an average rate of meters per second. What is Kirsten’s average rate in kilometers per minute?
Answer:
[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]
Step-by-step explanation:
Suppose Kirsten's running rate is r meters per second. This is to be converted to kilometers per minute.
Set up conversion fractions that will get you from
[tex]\frac{\text{m}}{\text{sec}} \rightarrow \frac{\text{km}}{\text{min}}[/tex]
You want to set up fractions so that the m on top is replaced with km and the sec on the bottom is replaced with min.
[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{km}}{\text{m}} \times \frac{\text{sec}}{\text{min}}[/tex]
To see how the units work, cancel the m on top of the first fraction and the m on the bottom of the second fraction. Do the same with the sec on the bottom of the first fraction and the top of the third fraction. What units are left? km per min!
To finish this, put the appropriate numbers into each fraction.
[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{1 km}}{\text{1000 m}} \times \frac{\text{60 sec}}{\text{1 min}} = \frac{\text{60 km}}{\text{1000 min}}[/tex]
This is what you multiply Kirsten's rate by, so she runs
[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]
Answer? ................,,,,,,
Step-by-step explanation:
what is the formula for the whole surface area of a sphere ?
[tex]a = 4 \times \pi \times {r}^{2} [/tex]
that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.
but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.
in radians the arc length of that angle segment on the "equator" of the sphere
s = r×Theta
and the whole equator circumference is
c = 2×pi×r
so, the Theta'th part is then
r×Theta / 2×pi×r = Theta / 2×pi
we only need that part of the whole sphere surface area, so the formula would look like
[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]
=>
[tex]lune = theta \times 2 \times {r}^{2} [/tex]
P(x,y) reflection in x=y line
Answer:
P(x,y) reflection in x=y line:(y,x)
How long will it take for an investment of $3000 to double in value if the interest rate is 6.5% per year compounded continuously round your answer to two decimal places
PLEASE HELPPPP
Answer:
19,500 I'm pretty sure
Step-by-step explanation:
3,000 x 6.5 = 19,500
write this in exponential form
a×b×a×b×a
[tex] {a}^{3}. {b}^{2} [/tex]
:D
Explanation:
We have three copies of 'a' multiplied, so that's why the exponent for 'a' is 3.
Similarly, the b^2 means we have b*b or two copies of b multiplied together.
Scientists once thought that life spontaneously arose from nonliving things. It took extensive experimentation and the invention of new technology to confirm the tenets that now make up the cell theory. Now, we don't even question that cells are the basic units of life and only come from preexisting cells. What technology had the biggest impact on the development of the cell theory?
centrifuge
electrophoresis
microscope
telescope
The technology had the biggest impact on the development of the cell theory is microscope. Hence, option C is correct.
What is cell?The fundamental units of all living organisms are cells. There are many billions of cells in the human body. They give the body structure, absorb nutrients from meals, turn those into energy and perform certain tasks. Additionally, cells have the ability to replicate themselves and contain the body's genetic material.
Each component of a cell has a different purpose. These components include organelles, which are specialized structures that carry out specific functions for the cell.
A cell's nucleus acts as its command center, giving instructions on how to develop, develop, divide, or die. The cell's genetic material, DNA (deoxyribonucleic acid), is also stored there. The envelope, which encircles the nucleus and divides it off from the rest of the cell, shields the DNA and serves as a barrier.
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Diana and Tom buy two cell phones. The phone numbers assigned to each are consecutive integers with a sum of 11,107,273. If the smaller number is Diana's, what are their phone numbers? (Do not include
area code and do not include dashes or spaces.)
Diana's phone number
Tom's phone number
Plz help is algebra
Answer:
Is this the full question?
Under his cell phone plan, Alexander pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Alexander can use while staying within his budget.
Answer:
3 gigabytes
Step-by-step explanation:
69.50 dollars + 5 dollars is 74.50 dollars add 5 dollars 79.50 add 5 dollars again and 84.50 Mark brainliest
Inequalities help us to compare two unequal expressions. Alexander can use 3 gigabyte of data to stay within his budget.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given that Alexander pays a flat cost of $69.50 per month and $5 per gigabyte. Therefore, the total amount that Alexander pays in a month for x Gb of data used is,
Total Bill amount = Fixed cost + Variable cost for x Gb of data
= $69.50 + $5x
Now, as Alexander wants to keep his bill under $85 per month. Therefore, we can write the inequality as,
Total Bill amount < $85
69.50 + 5x < 85
5x < 85 - 69.50
5x < 15.5
x < 15.5/5
x < 3.1
Therefore, Alexander can use 3 gigabyte of data to stay within his budget.
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please help with this practice sheet my parents gave me (show work pls)
Answer:
Answer:
Volume of cylinder =πr²h=π×4²×5=80π m³
=251.2m³
Volume of cuboid=l*b*h=7*3*2=42in³
Volume of cone =(⅓πr²h)+(⅓πr²h)⅓π×(6/2)²(12+8)=60πft³=188.4ft³