Answer:
2(1 - 6d⁴)
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
Identify
(6 - 9d⁴) - (3d⁴ + 4)
Step 2: Simplify
(Parenthesis) Distribute negative: 6 - 9d⁴ - 3d⁴ - 4Combine like terms: 2 - 12d⁴Factor: 2(1 - 6d⁴)A certain town is clustered around the town's largest employer, a paper mill. A researcher notices a large number of children with asthma and suspects the proportion of children with asthma in this town may be larger than the nationwide proportion of 7%.
(a) (2 pts) Write the null and alternative hypotheses.
(b) (3 pts) Suppose the researcher committed a Type I error. What did the researcher conclude and what was the reality regarding children with asthma?
(c) (3 pts) Suppose the researcher committed a Type II error instead. What did the researcher conclude and what was the reality regarding children with asthma?
Using statistical concepts, it is found that:
a)
The null hypothesis is: [tex]H_0: p \leq 0.07[/tex]
The alternative hypothesis is: [tex]H_0: p > 0.07[/tex]
b)
The type I error means that the researcher concluded that the proportion in this town was above 7%, while in reality it wasn't.
c)
The type II error means that the researcher concluded that the proportion in this town was not above 7%, while in reality it was.
Item a:
At the null hypothesis, we test if the proportion is the nationwide proportion of 7% of less, thus:
[tex]H_0: p \leq 0.07[/tex]
At the alternative hypothesis, we test if the proportion is larger than the nationwide proportion, that is:
[tex]H_1: p > 0.07[/tex]
Item b:
A Type I error happens when a true null hypothesis is rejected.
Thus, the type I error means that the researcher concluded that the proportion in this town was above 7%, while in reality it wasn't.
Item c:
A Type II error happens when a false null hypothesis is not-rejected.
Thus, the type II error means that the researcher concluded that the proportion in this town was not above 7%, while in reality it was.
A similar problem is given at https://brainly.com/question/24296958
The owner of a large restaurant is considering a new “no tipping” policy and wants to survey a sample of employees. The policy would add 20% to the cost of food and beverages and the additional revenue would be distributed equally among servers and kitchen staff.
A) The strata to be used in this survey by the employer is; Type of Staff
B) Stratified Random Sampling will be preferred because the opinions of the staffs on the tipping policy may be the same within each type but differ across the different types of staffs.
A stratified random sampling is a type of sampling that divides a population into groups known as strata.Now, from the question, we see that after adding a 20% to the cost of food and beverages, that the additional revenue will be distributed equally among the kitchen and server staffs.
This means the strata here will be the type of staff because the opinions of the staffs on the tipping policy may be the within each type but differ across both types of staffs.
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Brody's fishing cooler is shaped like a rectangular prism. The inside of the cooler is 10 inches wide, 18 inches long, and 6 inches tall. What is the volume of the cooler?
A car travels at an average speed of 48 miles per hour. How long does it take to travel 180 miles?
Answer:
3 hours and 45 minutes
Step-by-step explanation:
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You flip a coin 10 times and you get 10 heads. Based on these 10 outcomes what is
the empirical probability of getting a head?
The empirical probability is the ratio of the number of times an event occurred to the total number of trials. Hence, the empirical probability is 1.
The empirical probability is defined thus :
Number of times event occurred / total number of outcomesHence, the empirical probability of head in the experiment :
Number of heads / total number of tossesP(Head) = 10/10 = 1
Therefore, the empirical probability of getting a head is 1.
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Janye uses long division to convert a rational number a/b to a decimal which following statements cannot be true
Answer:
5
Step-by-step explanation:
5
Please help!
Unit Rates
Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in hour. At the airport, they exited the car and walked for hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a cab. It was a 15-minute cab ride to get to Kiley’s grandmother’s house, which was 12.3 miles away.
Answer the following questions about Kiley’s trip. All questions are written in terms of an average rate. Assume that an average rate includes the time that Kiley is at rest (that is, not moving).
In this task, you will write the ratio of miles to hours for each leg of Kiley’s trip. You will then, express the ratio as a decimal number. Next, you will find the unit rate in miles per hour (mph) for each leg of the trip. If your unit rate includes a repeating decimal number, you must indicate which digits repeat (for example, write when the 3 repeats.) A description of each leg is listed below in parts A through F.
Part A
the car ride from Kiley’s house to the airport
Part B
at the airport, the walk from the car to the waiting area by the gate
Part C
the leg from the waiting area to the airplane’s takeoff
Part D
the airplane ride
Part E
the walk from the airport to the cab
Part F
the cab ride
Answer:Did you ever get a answer?? I need them badly! And if i dint turn this in my whole life is ruined!! Im sorry that i don’t have answers for you
Step-by-step explanation:
Answer:
part a is 24.3 miles part b is 24 miles part c is 1.3 miles part d is 50 miles part e is 0.65 miles part f is 5 miles
Step-by-step explanation:
HOPE THIS HELPS!
In a triple batch of mix there are 6 teaspoons garlic and 15 teaspoons of salt how much salt is used with 8 teaspoons of garlic
Answer:
20
Step-by-step explanation:
6:15
2:5
*4
8:20
5. What is the coefficient of the variable n?
A box of chocolates contains 18 chocolate squares. Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 are white chocolat If Christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square?
Answer:
[tex]\frac{3}{18}[/tex]
Step-by-step explanation:
[tex]\frac{18-10-5}{18} \\\\=\frac{3}{18} \\[/tex]
Thw probability is [tex]\frac{3}{18}[/tex].
There are two bags of apples. The first bag has 3 red apples and 4 green apples. The second bag has 13 red apples and 15 green
apples. Mary wants one apple of each color. She will randomly choose two apples from a bag.
Which bag should Mary choose the apples from to have a better probability of picking an apple of each color?
Drag and drop the word and percents into the boxes to correctly complete the sentence.
bag, because the probability of randomly selecting a both a red and a green apple from the
Mary should choose the
and the second bag is about
first bag is about
Answer:
e, event of getting a green apple
p(e) = no. of green apples/total no. of apples
= 4/(4+3)=4/7
4/7 is probability of getting a green Apple
Step-by-step explanation:
hope this helps
a line passes through the point (8,-3)and has a slope of 3/4
Answer:
[tex]y=\frac{3}{4}x-9[/tex]
Step-by-step explanation:
We are using the general equation of a straight line, which is
y=mx+b, where y&x are the coordinates, m is the slope and b is the y intercept. We are trying to solve for b, so we can plug in these values that we know into the formula in order to find b:
[tex]-3=\frac{3}{4}(8)+b\\-3=6+b\\-3-6=b\\b=-9\\\\y=\frac{3}{4}x-9[/tex]
The number of chairs on a pool deck is it inappropriate or inappropriate partial quantity
Answer: approprate
Step-by-step explanation:
According to a survey, 59% of parents say their teens are addicted to using their cell phones. Write this percent as a ratio and do not simplify.
Answer:
1/10
Step-by-step explanation:
Eight kids got to go to the water park for
$76. How many students could go for
$171?
A store buys 10 shirts at a whole sale price of $5 each. They want to mark up the price by 50%. How much do they sell each t-shirt for?
A.$55
B.$5.50
C.$100
D.$7.50
Answer:
d)
Step-by-step explanation:
100%=$5
200%=5x2=10
200-50=150%
150/200x10=7.50
Hope this helps! Thanks.
The length of a rectangle is 7 feet less than four times with width. The Perimeter of the
rectangle is 146 feet. Find the length and width of the rectangle. ( P = 2L +2W)
Answer:
Step-by-step explanation:
p = 2L+ 2W
length
(7-4)
3 feet
p = 2L+ 2W
146 = 2*3 + 2* w
146 = 6 + 2w
146-6 = 6-6 +2w
140 = 0+ 2w
140 = 2w
70 feet = w
width is 70 feet
p= 2L+2W
146 = 2*a +2* 70
146 = 2a + 140
146-140 = 2a + 140-140
6 = 2a
3 feet = a
length is 3 feet
width is 70 feet.
5.2500000000 -2 1/67
Answer:
3.23507462687
Step-by-step explanation:
A group of elderly citizens turn it off but for $160. Unfortunately, eight of them fell ill and had to miss the trip. As a consequence the other citizens had to pay an extra one dollars each. How many elderly citizens went on the trip?
Which rule explains why these triangles are congruent?
ASA
AAS
SSS
SAS
These triangles cannot be proven congruent.
Answer:
ASA .................explains these 2 triangles are congruent to each other.
Angle UST=Angle SUV{given in the figure}
side SU= side SU{common side}
angle TUS= Angle USV{given in the figure}
6. Write in standard form (5.4 x104) =(2x103)
Answer:
[tex](5.4 \times {10}^{4} ) \div (2 \times {10}^{3} ) \\ \\ \\ \frac{5.4 \times {10}^{4} }{2 \times {10}^{3} } = \frac{54 \times {10}^{4} }{20 \times {10}^{3} } \\ \\ \\ = 2.7 \times {10}^{1} \\ = 27[/tex]
I hope I helped you^_^
An elevator can carry 27 adults or 30 children at one time. During the course of a day, the elevator carries a full passenger load 45 times. If all the passengers were children, how many more people would the elevator carry than if all the passengers were adults?
Answer:
135 would be the correct answer
Step-by-step explanation:
30x45=1,350
27x45=1,215
1,350-1,215= 135
Write the equation of the line with a slope of -3/4 and a y-intercept of 8 in slope-intercept form.
Hello there!
y=mx+b
m is the slope
b is the y-intercept
y=-3/4x+8
Hope this helps you!
~Just a joyful teen
[tex]GraceRosalia :)[/tex]
-5 2/3+3 1/4+-7 1/3????????
Answer:
-9.75
Step-by-step explanation:
Find the LCD for the list of rational expressions.
2
7x +4
x2 + 5x - 14' x2 + 3x – 28
the equation is made and the included values are indicated.
Two machines are available to perform a task, each can be either in operational or nonoperational condition. Every day one of the operational machines will be used and there is a 10% chance that it will break. Assume that if a machine breaks during the day, the task fails and is not resumed until the next day. If there is a nonoperational machine at the beginning of the day there is a 60% probability that it will be repaired by the end of the day. Only one machine can be repaired in one day.
Requried:
Model this system as a Markov chain: clearly describe the states and give the transition matrix.
Answer:
Step-by-step explanation:
abcdefghijklmnopqurtuvwx hahahe y and z
A box is 20 cm long. Which of these is closest to the length of this box in feet?
Answer: 0.66 Feet
Step-by-step explanation: There are 2.54 centimeters in an inch and there are 12 inches in a foot.
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Rewrite the formula to solve for the positive value of r in terms of h and v
*click photo to see question*
Answer
[tex] | \sqrt \frac{3v}{\pi \: h} | = r[/tex]
The given formula for the volume of cone can be written as [tex]\sqrt{\frac{2V}{\pi h} }[/tex] in terms of V and h for r.
What is transposing a term in an expression or transpose method?To bring a term from one side of an equation to the other, with corresponding change in sign or by doing opposite operations is called transposing a term in an expression.
According to the given question.
We have a formula for the volume of cone
[tex]V = \frac{1}{2} \pi r^{2} h[/tex]
To solve the the above formula for r we use transpose method.
Therefore,
[tex]V = \frac{1}{2} \pi r^{2} h[/tex]
⇒ [tex]2V = \pi r^{2}h[/tex] (multiplying by 2 both the sides)
⇒ [tex]\frac{2V}{\pi h} =r^{2}[/tex] (dividing both the sides by πh)
⇒ [tex]r=\sqrt{\frac{2V}{\pi h} }[/tex]
Hence, the given formula for the volume of cone can be written as [tex]\sqrt{\frac{2V}{\pi h} }[/tex] in terms of V and h for r.
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Look at image attached
How do you do the inverse of this function?
9514 1404 393
Answer:
f^-1(x) = <see attachment>
Step-by-step explanation:
If we write the function as ...
f(x) = ∛x +101/128x
Then the inverse function is the value of y when ...
x = f(y)
This resolves to a cubic in y, whose solution can be found by use of any of the various cubic solution formulas. You can find the cubic by ...
x = ∛y +by . . . . . . where b = 101/128
x -by = ∛y . . . . . . . subtract by
(x -by)³= y . . . . . . cube both sides
If we subtract the left side and expand the cube, we get ...
b³y³ -3b²xy² +(1 +3bx²)y -x³ = 0 . . . . . . . a cubic in y
There will be one real and two complex solutions to this cubic. The real solution can be written in the form shown in the attachment. That is, ...
y = f⁻¹(x) = [attachment expression]
A graph of it is shown in the second attachment. It is the reflection of f(x) across the line y = x, as an inverse function should be.
_____
Additional comment
The idea here is to show that it is possible to write an expression for the inverse function. It is not pretty, and it is somewhat tedious to evaluate.
The value of the 8 in 28,973 is _____ times the value of the digit 8 in 98.
Is 3 times the value
I know this because the number 8 is moved to the left 3 times