Answer:
0.9328
Step-by-step explanation:
The mean of the sampling distribution is equal to
up = p = 0.40
The standard deviation = √pq/n
= √0.40x0.60/500
= √0.00048
= 0.0219
We compute the z values for the probability of 36% and 44%
When p = 0.36
z = 0.36-0.40/0.0219
= -1.83
When p = 0.44
z = 0.44-0.49/0.0219
= 1.813
From the standard normal distribution table. The probability associated with z values from Which we subtract the probability
P(0.36<=p<=0.44)
= P(-1.83<=z<=1.83)
P(z<=1.83)-p(z<=-1.83)
= 0.9664-0.0336
= 0.9328
Therefore the answer is 0.9328
BABBOEY CHAIN BABBOEY BABBOEY
Answer:
Thank you
Step-by-step explanation:
Babaoey
A bottling process is inspected 100 percent of the time because of the low yield rate of 98%. If a batch of 80 bottles are inspected, what is the probability less than three bottles are bad?
Answer:
The probability is [tex]P(X < 3) = 0.7843 [/tex]
Step-by-step explanation:
From the question we are told that
The low yield rate is [tex]q = 0.98[/tex]
The sample size n = 80
Hence the probability that the bottle is bad
[tex]p = 1- q[/tex]
=> [tex]p = 1 - 0.98[/tex]
=> [tex]p =0.02[/tex]
Generally the distribution of yield follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability less than three bottles are bad is mathematically represented as
[tex]P(X < 3) = P(X = 0 ) + P(X = 1 )+ P(X = 2)[/tex]
=> [tex]P(X < 3) = ^{80}C_0 * 0.02^0 * (1- 0.02)^{80-0} +^{80}C_1 * 0.02^1 * (1- 0.02)^{80-1}+ ^{80}C_2 * 0.02^2 * (1- 0.02)^{80-2}[/tex]
=> [tex]P(X < 3) = 1 * 1 * 0.1986 + 80 * 0.02 * 0.2027 + 3160 * 0.0004 * 0,2068[/tex]
=> [tex]P(X < 3) = 0.7843 [/tex]
Answer:784 i think
Step-by-step explanation:
98 x 8 = 784. My teacher told me that when multiplying %'s you do the precent # x the #
There are 24 more students in the seventh grade class than the number g in the eighth grade class. The seventh grade class has 160 students. Write and solve an equation to find the number of students in the eighth grade class.
Answer:
y= 8th grade class,
y + 24 =160
subtract 24 from both sides
y=136
there are 136 students in the eight grade class
Step-by-step explanation:
Answer:
136 students
Step-by-step explanation:
7th grade= 160 students
8th grade= g students
g= 160-24
g= 136 students
- I hope this helps have a great day!
A person who weighs 100 pounds on Earth weighs 16.5 pounds on the moon. If a boy weighs 60 pounds on Earth, how much does he weigh on the moon?
Answer:
The answer is 10 Pounds.
Step-by-step explanation:
You get 10 pounds because you divide your weight by 6 and 60 divided by 6 is 10.
Answer:
3.636363636
Step-by-step explanation:
Because that is 16.5 percent of 60, you can find this by dividing 60 by your percentage your trying to find of it, 16.5 in this case.
2. There is a 50% chance that Elaine will be late to school, a 40% chance that she will be late to
school and eat breakfast, and a 60% chance that she will be late for school or eat breakfast. What
is the probability that Elaine will eat breakfast?
(1 Point)
30%
Ο Ο
40%
50%
Ο Ο
60%
Answer:
50%
Step-by-step explanation:
Given that:
P(late) = P(L) = 50% = 0.5
P(Eat) = P(E) =?
P(LnE) = 40% = 0.4
P(LuE) = 60% = 0.6
P(LuE) = P(L) + P(E) - P(LnE)
0.6 = 0.5 + x - 0.4
0.6 = 0.1 + x
0.6 - 0.1 = x
0.5 = x
P(E) = 0.5
0.5 * 100% = 50%
Sigh. I'm Stressed Right Now :(
I need help on this question, I can't seem to understand piecewise functions!! ITS SO HARD.
Answer:
[tex]f(x)\left \{ {{3x+1 if x\leq 0} \atop {-3x+1 if x>0}} \right.[/tex]
Step-by-step explanation:
So if we first graph the given equation, we'll see the graph I've attached below.
Remember that piecewise functions are functions that change based on the circumstances. I know that sounds super confusing, but it's actually really simple!
In this case, for example, we see the line increasing from -∞ to [tex]0[/tex], and then suddenly going downwards and decreasing. That's a good spot for us to notice because that indicates a change. We notice that the function looks different when [tex]x<0[/tex] or [tex]x>0[/tex]. If you break the function into those two parts, you see that they are just linear equations, but they're only visible when x is either greater than or less than 0.
Now that we notice this pattern, we can find the equation of the lines for both lines.
The points (-3,-8) and (-1,-2) are points on the first line, the one that increases (on the left). We can use those points to find the slope of the first line. Remember the slope equation:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plug in your points:
[tex]m=\frac{-2-(-8)}{-1-(-3)}[/tex]
[tex]m=\frac{6}{2}[/tex]
[tex]m=3[/tex]
So, the slope of the first line is 3. The y-intercept, looking at the graph, is 1. The equation of the first line is [tex]y=3x+1[/tex]. We'll need this later.
Let's do the same thing for the second line. Just looking at the graph, we can see that this is the same exact line, just with a negative slope. So, the equation for the second line is [tex]y=-3x+1[/tex].
So now we can set up a piecewise function.
[tex]f(x)\left \{ {{3x+1} \atop {-3x+1}} \right.[/tex]
The two functions in the bracket are the two different functions used in this graph. Now we need to figure out where each function is effective. Well, they share a y-intercept. Remember that a true function cannot have two points with the same x value. So the first function is effective to the left of x=0, while the second is effective to the right of x=0. In other words, when [tex]x\leq 0[/tex], [tex]f(x)=3x+1[/tex]. But, when [tex]x>0[/tex], [tex]f(x)=-3x+1[/tex]. Now our piecewise function looks like this:
[tex]f(x)\left \{ {{3x+1 if x\leq 0} \atop {-3x+1 if x>0}} \right.[/tex]
And that is our piecewise function for the original function.
I know this is confusing, so please let me know if you have any questions! I hope this helps!
Children may ask what is 6+100, 6+100 equals to 106
Answer:
ye thats true..
Step-by-step explanation:
Hurry please
Reasoning A salesperson's commission rate is 4%. What is the commission from the sale of
$35,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true
about the commission? Explain without using any calculations.
The commission is $
Answer:
$1400
double is $2800
Step-by-step explanation:
$35,000 x .04 = $1400
if sales double, the commis soon will double so $1400 x 2 = $2800
x + 1 - x = 1
Solve the equation
Thanks
You earn $63,500. The tax chary states your taxes will be $5,081 plus 25% of excess over $36,900. What are your taxes?
HELP QUICK BRAINLIEST IF CORRECT! Thanks!!
Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you $1.25 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 25 cents more than what was paid for the previous subscription. How much will you earn by selling 200 magazine subscriptions?
Answer:
the organize is a explanation to the earth
Step-by-step explanation:
yan lang alam ko
Chris got 28 out of 35 correct in his test. What fraction of the marks did he get wrong? Give your answer in its simplest form.
Answer:
3/35
Step-by-step explanation:
Chris got 28 out of 35 correct in his test
So
he get wrong=3
fraction= 3/35
So 3/35 is the answer
Consider the inequality represented by the graph.
Choose True or False for each statement.
4
3
2
1
0
True
А
(1,4) is a solution of the inequality.
B
False
А
True
(-3,-2) is a solution of the
inequality
B.
False
The inequality represented is
y <6x - 2.
А
True
B
False
What is a ratio equivalent to 3:4 ? 3/4 2/3 4/3
The perimeter of a rectangular picture frame is 62 inches. The length of the 1
frame is one more than twice its width. What are the length and the width
of the frame?
Answer- each width = 10, each length = 21
Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
Write a word problem that could be solved with the equation
0.15x + 200 650
Answer:
13.3
Step-by-step explanation:
Please help
What is the absolute value of the number indicated on the number line?
A. 3
B. -4
C. 4
D. -3
Answer:
C
Step-by-step explanation:
A number's absolute value is its distance from zero. -4 is 4 units from zero so its absolute value is 4
Hope this helps!
Answer:
4
Step-by-step explanation:
absolute value is is the non negative value of that number (example 3=3, -4=4
Select the correct answer. What is the slope of the line represented by the equation f(x) = -3x + 7? A. -7 B. -3 C. 3 D. 7
Answer:
B. -3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Plato
Yooo
Does anyone know the answers to these 2?
1. Solve each of the quadratic equations.
3x = 0.5x2
A. x = -6 or x = 0
B. x = -4 or x = 3
C. x = -2 or x = 1.5
D. x = 0 or x = 6
2. See image below
Answer: the first one is d the second one is c
Step-by-step explanation: e2020
Identify the terms in the expression. Separate your terms with a comma.
−12a−4b+9−3a
Luis and Victor were both trying to solve the equation 5x = 20. Luis multiplied both sides of the equation by the reciprocal of 5. Victor divided both sides of the equation by 5. Who solved the equation correctly?
A.
Only Luis
B.
Only Victor
C.
Both Luis and Victor
D.
Neither Luis or Victor
Answer: B
Step-by-step explanation:
20 divided by 5 =4 and 5x4=20
What is the length of segment AD ? How do you know ?
Line segment AD is 4cm. Because A is the center, any lines coming off the centerpoint are congruent. So if line AC is 4cm, then line AD has to be 4cm as well.
Comparing the two circles, the length of segment AD is 4 cm. On the first circle, the diameter is BAE is 8cm.
How to describe a circle?We should know that a circle is a figure in which all distances are equal from the center and the line from the center to the circumference is called radius.
The diameter is the line that passes through the center of the circle dividing the circle into two equal parts.
The given information are that the circles are the same
Diameter of the circles = 8cm
Radius = D/2= 8/2
Radius = 4 cm in each circle
Since the two circles shave the same diameter of 8cm and segments are different because the second has 3 segments while the first has 2 segments
The length of the segment AD = 4 because its from center to circumference that is radius
The first circle BAE is a diameter because it divides the circle into two equal halves
Therefore the length of segment AD is 4cm because it is a radius.
the diameter is BAE is 8cm.
Learn more about a circle;
brainly.com/question/29142813
#SPJ2
The price of a stock steadily decreased by a total of $114 over the past 11 months. Which expression shows the change in the stocks value? Opposition: $11/114 months, $114/11 months, -$114/-11 months, -$114/11 months. Choose the correct answer.
Answer:
-$114/11 months
Step-by-step explanation:
The price is decreasing which means the number is going down which makes the rate negative
A publishing company is interested in the number of books read each year by people. They send out 50 volunteers to conduct research by collecting random samples of 20 people each and determining the number of books that group read in the previous year. After looking at the sample means, the company estimates that the mean number of books read is 12.4 with a margin of error of 2.4. Based on these values, what interval is likely to contain the true mean number of books read in the previous year by the population?
Using the confidence interval concept, an interval between 10 and 14.8 is likely to contain the true mean number of books read in the previous year by the population.
What is the interpretation of a x% confidence interval?It means that it is x% likely that the population parameter(mean/proportion/standard deviation) is between a and b, which are the bounds of the confidence interval.
The bounds of the confidence interval are given by the estimate plus/minus the margin of error.
For this problem, we have that:
The estimate is of 12.4 books.The margin of error is of 2.4 books.Hence the bounds are given by:
12.4 - 2.4 = 10 books.12.4 + 2.4 = 14.8 books.An interval between 10 and 14.8 is likely to contain the true mean number of books read in the previous year by the population.
More can be learned about confidence intervals at https://brainly.com/question/25890103
#SPJ1
Hellp pls this is not a quiz
Answer:
The answer is D.
Step-by-step explanation:
Remember, think of what they would be like on a number line. The negative number closest to zero is greater than the negative numbers farther from zero. Any number that is to the left of a certain number is less than, if that makes any sense.
Question 5 of 5
Evaluate -(5-4)(52)
O A. -25
O B. - 2
O C.
O D. 25
Answer:
-52
Step-by-step explanation:
5 - 4 = 1Plug 1 in: -(1)(52)Simplify: -1 × 52-1 × 52 = -52I hope this helps!
HURRY Choose the compatible numbers that will give the best estimate for 641/59
HURRRRRRRYYY
Answer:
640/60Step-by-step explanation:
Close number to 641 is 640
Close number to 59 is 60
Estimate for 641/59 ⇒ 640/60
Given three data points: (x0, f(x0)), (x1, f(x1)), and (x2, f(x2)), prove the expression for the coefficient b2 in the quadratic interpolation is:________
Answer:
attached below is the prove
Step-by-step explanation:
In order to prove the expression for coefficient b[tex]_{2}[/tex] we have to find b[tex]_{0}[/tex] and b[tex]_{1}[/tex]
F(x) = [tex]b_{0} + b_{1} ( x - x_{0} ) + b_{2} ( x - x_{0} ) (x - x_{1} )[/tex]
i) Determine b[tex]_{0}[/tex]
at x = x[tex]_{0}[/tex]
b[tex]_{0}[/tex] = f(x[tex]_{0}[/tex] )
ii) Determine b[tex]_{1}[/tex]
at x = [tex]x_{1}[/tex]
f ([tex]x_{1}[/tex]) = f ([tex]x_{0}[/tex] ) + b[tex]_{1}[/tex] [tex](x_{1} - x_{0} )[/tex] + 0
[tex]b_{1} = \frac{f(x_{1} )-f(x_{0} )}{(x_{1}-x_{0} ) }[/tex]
prove of the expression for the coefficient B2 in the quadratic interpolation
attached below is the detailed prove
