Answer:
x>-2
Step-by-step explanation:
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 #
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
helppppppp! Find the length of PQ if PQR is an isosceles triangle with PQ ≈ QR.
Answer:
43
Step-by-step explanation:
3x + 10 = 5x - 12
10 = 2x - 12
22 = 2x
x = 11
check:
33 + 10 = 55 - 12
43 = 43
correct
x = 11 so bring this into 3x + 10
we get 43
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
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
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?
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
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.
Which expression uses the commutative property to make it easier to evaluate (-1/3) x 2/5 x (-9)?
A. (-1/3) x (-9) x 2/5
B. (-9) x 2/5 x (1/3)
C. 1/3 x 5 x 2/9
D. (-1/3) x 5/2 x (-9)
Answer:
the answer is A
Step-by-step explanation:
Answer:
The answer is: A. (-1/3) x (-9) x 2/5
Step-by-step explanation:
A-P-E-X verified
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
Describe a situation that can be modeled by the expression \large x-8.
Step-by-step explanation:
ok please before we can solve that you have to tell more about that thing before you can answer so I'm waiting for you to edit the text and said that thing very well so that we can understand and answer you correctly
HELP ASAP WILL MARK BRAINLIEST!!!
1 =41
2 =85
3 =95
4 =85
5 =36
6 =49
7 =106
hope this helps
Help me with my review please
Answer:
HL
Step-by-step explanation:
What is a ratio equivalent to 3:4 ? 3/4 2/3 4/3
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!
Ramon has a certain number of nickels and quarters in his pocket. Choose the function which shows that the number of nickels, n, and the number of quarters, q, Ramon has in his pocket results in a total value of $1.10.
A. 0.5n + 0.25q = 1.1
B. 0.05n + 0.25q = 1.1
C. 5n + 25q = 1100
D. 0.25n + 0.05q = 1.1
Answer:
B.0.05n+0.25q=1.1
Step-by-step explanation:
5 cents as a decimal is 0.05 and n represents the nickles
25 cents as a decimal is 0.25 and q represents the quarters
Chris had a job walking dogs on the weekends. He earned $8.75 per dog. He walked 5 dogs a week for 7 weeks. How much money did Chris earn?
Answer:
he should be making $306.25
Step-by-step explanation:
what i did was multiply his $8.75 a dog by 5 then multiply it by the 7 weeks
Answer:
Chris's total earning will be: $306.25
Step-by-step explanation:
Given:
Total number of dogs = d = 5
Number of weeks = w = 7
Cost for walking per dog = c = $8.75
First of all, we will calculate his per week cost of walking 5 dogs
Per week cost of walking 5 dogs = d*c = 8.75*5 = $43.75
Then for the cost of 7 weeks, the amount of one week will be multiplied by 7
Total earning will be:
[tex]= 43.75*7 = 306.25[/tex]
Hence,
Chris's total earning will be: $306.25
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
Marco needs to buy some dog food. At the nearest store, 6 bags of dog food cost $16.50. How much
would Marco spend on 5 bags of dog food?
Marco would spend $ 52,50) on 5 bags of dog food,
Answer:
If he spends $52.50 on 5 bags, add $16.50 to $52.50 and get $69.
I need people to give me Crown
Answer:
here is a crown
Step-by-step explanation:
Answer:
Step-by-step explanation:
I think thats what you need hihihi
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
A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
The height of the container is
centimeters. If its diameter and height were both doubled, the container's capacity would be
times its original capacity
Answer:
cone volume=(1/3)hpir^2
d/2=r
d=12
d/2=12/2=6=r
V=120pi
120pi=(1/3)hpi6^2
120pi=(1/3)hpi36
120pi=12hpi
divide both sides by pi
120=12h
divide 12
10=h cm
if height and diameter is doubled aka height and radius are doubled
V=(1/3)(2h)pi(2r^2)
we want to see how it compares to V=(1/3)hpir^2
V=(1/3)(2h)pi(2r^2)
V=2(1/3)(h)pi4r^2
V=8((1/3)hpir^2)
the volume is increased by 8 times
blanks are
10
8
Step-by-step explanation:
Answer:
The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Hope this helps!
Step-by-step explanation:
Sigh. I'm Stressed Right Now :(
Which of the following ratios has the same ratio value as 4:6?
4.16
4.12
5:10
6:9
Answer:
6:9
Step-by-step explanation:
the answer is 6:9 because 4:6' equivalent is 2:3, which is the same as 6:9
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!
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
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
BABBOEY CHAIN BABBOEY BABBOEY
Answer:
Thank you
Step-by-step explanation:
Babaoey
HELP QUICK BRAINLIEST IF CORRECT! Thanks!!
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
