Answer:::
Step-by-step explanation:::
problem 5 (30 points, each 10 points). in a chemical plant, 24 holding tanks are used for final product storage. four tanks are selected at random and without replacement. suppose that four of the tanks contain material in which the viscosity exceeds the customer requirements. 1. what is the probability that exactly one tank in the sample contains high-viscosity material? 2. what is the probability that at least one tank in the sample contains high-viscosity material? 3. in addition to the four tanks with high-viscosity levels, four different tanks contain material with high impurities. what is the probability that exactly one tank in the sample contains high-viscosity material and exactly one tank in the sample contains material with high impurities?
1. The probability of selecting exactly one tank with high-viscosity material is 0.
2. The probability of selecting at least one tank with high-viscosity material is 1.
3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.
1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.
2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.
3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.
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In hockey, Nick plays an average of 35 games per season. He finished the season with 47 goals. How many goals did he score per game?
True or False: A researcher wants to know if taking increasing amounts of ginkgo biloba will result in increased capacities of memory ability for different students. They administer it to the students in doses of 250 milligrams, 500 milligrams, and 1000 milligrams. The independent variable in this study is whether the students actually took the ginkgo biloba.
A researcher wants to know if taking increasing amounts of ginkgo biloba will result in increased capacities of memory ability for different students. They administer it to the students in doses of 250 milligrams, 500 milligrams, and 1000 milligrams. The independent variable in this study is whether the students actually took the ginkgo biloba. True.
The independent variable in this study is whether the students actually took the ginkgo biloba. The researcher is interested in investigating the effect of taking increasing amounts of ginkgo biloba on memory ability, so the dosage levels (250 milligrams, 500 milligrams, and 1000 milligrams) would be considered the levels or conditions of the independent variable.
By administering different doses to different students, the researcher can observe and compare the memory abilities of the students based on the dosage levels they received.
In summary, A researcher wants to know if taking increasing amounts of ginkgo biloba will result in increased capacities of memory ability for different students. They administer it to the students in doses of 250 milligrams, 500 milligrams, and 1000 milligrams is true.
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Given the two points(-2,1) and (-3,-3) on the graph, calculate the scope
Answer:
\(m=4\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (-2, 1)
Point (-3, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: \(m=\frac{-3-1}{-3+2}\)Subtract/Add: \(m=\frac{-4}{-1}\)Divide: \(m=4\)xwhat is the correct relationship of the three principles: weak mathematical induction, strong mathematical induction, and the well ordering principle for the integers? [only one answer is correct.] group of answer choices they are none of them equivalent to each other. any one of the three is equivalent to each of the other two of the three. the well-ordering principle for the integers is not equivalent to either mathematical induction, which are equivalent to each other. the well-ordering principle for the integers is equivalent to strong mathematical induction and neither is equivalent to weak mathematical induction.
The correct relationship of the three principles is: The well-ordering principle for the integers is equivalent to strong mathematical induction, and neither is equivalent to weak mathematical induction.
The well-ordering principle for the integers states that every non-empty set of non-negative integers has a least element. Strong mathematical induction is a proof technique that involves proving that a statement is true for a base case, and then assuming that it is true for all cases up to a certain value, and then proving that it must also be true for the next case.
This requires assuming the truth of all cases up to a certain value, which is where the well-ordering principle comes in. Weak mathematical induction is a proof technique that involves proving that a statement is true for a base case, and then assuming that it is true for a particular case, and then proving that it must also be true for the next case.
Weak mathematical induction does not require assuming the truth of all cases up to a certain value, and is therefore weaker than strong mathematical induction.
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would a boxplot of the data 113, 116, 116, 116, 118, 118, 119, 119, 122, 124, 124, 124 allow you to find the mean and the median?
Which conic section is represented by the following equation?
3x2 – 7x + 8y2 - 2y + 1 = 0
Answer: ellipse
Step-by-step explanation:
on edge you can graph it too if you want to check.
Use the quadratic formula to find the solutions to the equation y = 5x² - 9x + 3.
What are the zeros of the equation?
On solving the provided question, we can say that the quadratic equation is y = 5x² - 9x + 3 this quadratic equation can not factorized further
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
the quadratic equation is
y = 5x² - 9x + 3
this quadratic equation can not factorized further
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Michael buy a baket of mangoe on ale for \$ 4$4 before tax.
The ale tax i 12%.
What i the total price Michael pay for the baket of mangoe?
Total price paid by Michael for the basket of mangoes is $4.48.
For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -
Total price = 4 + 12%×4
Calculating the percentage of sales tax on Right Hand Side of the equation
Total price = 4 + 12×4/100
Solving the percentage part on Right Hand Side of the equation
Total price = 4 + 0.48
Performing addition on Right Hand Side of the equation
Total price = $4.48
Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.
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Learn more
Write the rate as a unit rate. 816 calories in 12 servings ____ calories per serving
Answer:
68!
Step-by-step explanation:
,to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1
Could someone help me find the length of each segment and which statements are true?
Answer:
see explanation
Step-by-step explanation:
(a)
calculate the lengths using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )
JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)
= \(\sqrt{(3+3)^2+(-8+7)^2}\)
= \(\sqrt{6^2+(-1)^2}\)
= \(\sqrt{36+1}\)
= \(\sqrt{37}\)
repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )
MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)
= \(\sqrt{(-1)^2+(-6)^2}\)
= \(\sqrt{1+36}\)
= \(\sqrt{37}\)
repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )
PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)
= \(\sqrt{(-2+8)^2+1^2}\)
= \(\sqrt{6^2+1}\)
= \(\sqrt{36+1}\)
= \(\sqrt{37}\)
(b)
JK ≅ MN ← true
JK ≅ PQ ← true
MN ≅ PQ ← true
A hand held digital music player was marked down 1/4 of the original price.
If the sales price is $128.00, what was the original price?
Answer:
A) you would divide $128 by 4, getting $32. then add that to the original price, being $160.
B) you would divide $160 by 2, getting $80, then add those two together in order to find what it was marked up to, is $240. hopeful, this helps
Step-by-step explanation:
is negative 7 a even number
Answer:
no
Step-by-step explanation:
It is not because 7 is not an even number.
Answer:
-7 is not an even number.
Step-by-step explanation:
Even numbers are numbers that end in 0, 2, 4, 6, and 8.
This makes the number -7 Odd.
Odd number are numbers that end in 1, 3, 5, 7, and 9.
sr nie wiem o co chodzi ale muszę to zrobić do 18 pani od korków mi tak przysłała lol. DAJE NAJ !!!
Answer:
(1/2)^2= 0.25 thank you
Solve for x
Which one is it
5
6
7
8
what is the measure of <4?
Answer:
i not sure but i think its 125
Step-by-step explanation
60% sure is 125
Find ST.
W
S
16
V
32
ST
Esther and her 6 brothers went shopping at the mall. She shopped in 12 different stores while her brothers each shopped in 8 different stores. How many stores did Esther and her brothers shop in altogether?
Answer:
60 stores
Step-by-step explanation:
Here, we want to get the total number of stores in which Esther and her 6 brothers went shopping
From the question, she shopped in 12 different stores
Each of her six brothers shopped in 8 different stores
That makes the number of stores in which the brothers shop be 8 * 6 = 48 stores
The total number of stores is thus, 48 + 12 = 60 stores
John has $80. Every week, he spends $7.
Create an equation that represents how much money, m, he has after t weeks.
How much money, in dollars, will he have after the fourth week?
Enter the equation and the answer on separate lines.
Will mark brainliest
Answer:
The purple square
Step-by-step explanation:
Employers at a ï¬rm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They think that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They collect data on employees to see how much company time the employees spend on such non-business activities during March Madness. They want to determine if these data provide convincing evidence that employees spend more time than usual on non-business activities during March Madness.
First perform a hypothesis test to see if employees spend more than 15 minutes on average on non-business activities.
State the null and alternative hypothesis being tested.
Letâs say the results of their data collected on 70 employees shows time spent on non-business activities during March Madness was an average of 16.6 minutes and had a standard deviation of 8 minutes. What is the t-statistic we would use to perform this test. Give the general formula first, then the numerical answer.
Label the t-statistic and shade the region on the t-distribution below that would give you your resulting p-value.
Second, make a confidence interval for the average time spend on non-business activities during March Madness.
What would we use as our point estimate for the population mean time spent on non-business activities and what is the standard error of our point estimate?
Give the approximate 95% confidence interval.
The approximate 95% confidence interval is (14.69, 18.51).
What is the confidence interval?
A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.
Here, we have
Given:
H₀ : μ = 15
H₁ : μ > 15
The test statistic t = ( x - μ) /(s/√n)
= (16.6 - 15)/(8√70/))
= 1.67
P-value = P(T > 1.67)
= 1 - P(T < 1.67)
= 1 - 0.9503
= 0.0497
At a 5% significance level, since the P-value < α (0.0497 < 0.05), so we should reject H₀.
So at a 5% significance level, there is sufficient evidence to conclude that employees spend more than 15 minutes on average on non-business activities.
The point estimate for the population mean (x) = 16.6
SE = (s/√n) = 8/√70 = 0.9562
At a 95% confidence interval, the critical value is t* = 1.995
The 95% confidence interval for the population mean is
x± t* (s/√n)
= 16.6 ± 1.995 × (8/√70)
= 16.6 ± 1.91
= 14.69, 18.51
Hence, the approximate 95% confidence interval is (14.69, 18.51).
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would this be correct?
Answer:
Yes it is absolutely right.
An item costs $15. The sales tax is 6%. What is the cost of the item after taxes?
Answer:
15.9
Step-by-step explanation:
Lily measured the lengths of 16 fish.
Use the graph below to estimate the lower and
upper quartiles of the lengths.
Hiya could u screenshot the end of the video where all the working out is ty
Answer:
hI
THE LOWER QUARTILE IS 15 AND THE UPPER QUARTILE IS 30 HOPE THIS WORKSSXX
Step-by-step explanation:
Find the surface area of the triangular prism shown below.
Answer:
150
Step-by-step explanation:
mark brainliest plz
u/5 = 17/11 Solve the following proportion for u. Round your answer to the nearest tenth.
On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.
What do you think about proportionality?We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.
What is proportionality?When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.
Here,
\(\frac{U}{5} = \frac{17}{11} \\\\\)
\(U = \frac{17}{11} X 5\\\)
\(U = \frac{85}{11}\\ U = 7.72\)
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What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 12
(3, [?]); ([ ], [ 1)
Answer: \((-3,18),\ (3,6)\)
Step-by-step explanation:
Given
Functions are \(x^2-2x+3\ \text{and}\ -2x+12\)
Equate them to solve
\(x^2-2x+3=-2x+12\\\Rightarrow x^2=9\\\Rightarrow x=\pm 3\\\therefore y=6,18\\\text{Ordered pairs are}\\(-3,18),\quad (3,6)\)
Question 17 (1 point)
Is the following a fixed or a variable expense?
Natural Gas Bill
Question 17 options:
A) Fixed Expense
B) Variable Expense
Answer:
A) Fixed Expense
Step-by-step explanation:
trust me
a control chart that measures variables measures what? group of answer choices characteristic that has a discrete value and can be counted. characteristics that can be measured on a continuum of value like weight and volume. characteristics that are soft and pliable all of the above previousnext
A control chart that measures variables measures characteristics that can be measured on a continuum of value like weight and volume.
Control diagrams are a measurable instrument used to screen and control processes over the long haul. They are utilized to follow factors that can be estimated on a consistent scale, like weight, volume, temperature, or time. These factors are not discrete, yet rather fall along a reach or continuum of values. By plotting information over the long haul on a control graph, a cycle can be observed to guarantee that it stays inside a predetermined scope of OK variety. The control diagram gives a visual portrayal of the cycle information, permitting process proprietors to recognize when the interaction is crazy or when it might require remedial activity. Generally, control outlines that action factors assist with guaranteeing the nature of the cycle yield by empowering process proprietors to distinguish and address issues before they bring about deformities or mistakes.
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I need help with number 12
The compounding formula is used to create the quarterly compounding formula. To the nearest cent, the compounded balance is $ \(12,832.27.\)
What is the compounded quarterly formula?To reflect the quarterly interest computation as the only change, the interest rate is increased by 4*2.
\(A = P(1 + r/n)(nt)\)
Assume that we have a $ \(10,000\) Initial investment, a 6% yearly interest rate, and a 5-year investment period. We have n = 4 and t = 5 since the interest is compounded every three months.
Plugging in these values, we get:
\(A = 10,000(1 + 0.06/4)(4*5)\)
\(= 10,000(1.015)^20\)
\(= 12,835.72\)
Hence, the final balance is $ \(12,835.72\) to the nearest penny.
If the money is compounded continually, we may use the following formula to determine the balance:
\(A = Pe(rt)\)
With the identical values as before, we obtain:
\(A = 10,000e(0.06 \times5)\)
\(= 10,000e(0.3)\)
\(= 12,832.27\)
Therefore, So the balance, to the nearest cent, is $ \(12,832.27.\)
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