Answer:
x = ±3
Step-by-step explanation:
(3x² + 27)(x² - 9) = 0
(3x² + 27)(x + 3)(x - 3) = 0
3x² = -27
x² = -9
x = √-9 (this will result in an imaginary number)
x + 3 = 0
x = -3
x - 3 = 0
x = 3
La
Cu
You can afford monthly deposits of $250 into an account that pays 4.8% compounded
monthly. How long will it be until you have $11,900 to buy a boat?
Att
Answer:
Step-by-step explanation:
The formula you need for this is
[tex]A(t)=P(1+\frac{r}{n})^{nt[/tex] where
A(t) is the amount after a certain number of years has gone by,
P is the initial deposit,
r is the interest rate in decimal form,
n is the number of compoundings done per year, and
t is the amount of time in years.
For us,
A(t) = 11900
P is 250
r is .048
n is 12 (there are 12 months in a year)
t is our unknown. Filling in:
[tex]11900=250(1+\frac{.048}{12})^{(12)(t)[/tex] which simplifies a bit to
[tex]11900=250(1_.004)^{(12t)[/tex] . Now we'll divide both sides by 250:
[tex]47.6=(1.004)^{12t[/tex] and then take the natural log of both sides to bring that t down out front:
[tex]ln(47.6)=ln(1.004)^{12t[/tex] and then
ln(47.6) = 12t ln(1.004). Now divide both sides by ln(1.004) to isolate the 12t:
967.6383216 = 12t and divide both sides by `12 to get
t = 80.6 months which is 6.7 years
A fraction is shown. HHH 1 What fraction is shown on the number line? 5 O A 6. OB. 을 Ос. OD. ОЕ.
Answer:
huh?
Step-by-step explanation:
Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 30% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 business owners.
(a) How many business owners in the survey plan to provide a holiday gift to their employees this year?
(b) Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter "0". Do not round your intermediate calculations.
(c) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts has decreased? We the null hypothesis. We conclude that the proportion of business owners providing gifts has decreased from 2008 to 2009. What is the smallest level of significance for which you could draw such a conclusion?
Answer:
a)x₁ = 24 business owners plan to provide a gift this year
b) p-value = 0,0017
c)p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease
Step-by-step explanation:
a) Sample size 80
proportion p₁ = 30 % p₁ = 0,3
Then x₁ = 80*0,3
x₁ = 24 business owners plan to provide a gift this year
b) Hypothesis Test
Null Hypothesis H₀ p₁ = 0,45
Alternative Hypothesis Hₐ p₁ < 0,45
p₁ = 0,3 then q₁ = 1 - 0,3 q₁ = 0,7
z(s) = ( p₁ - 0,45 )/ √p₁* q₁ / n
z(s) = - 0,15 / √0,002625
z(s) = - 0,15 / 0,05123
z(s) = - 2,9279
b)From z-table we find p-value = 0,0017
c) If α = 0,05 ( significance level ) as
p-value < α we have to eject H₀ And support the claim that the proportion of business owners providing gifts has decrease
PLEASE HELP I DON"T UNDERSTAND
SHOW WORK PLEASE
Part A: The area of a square is (9a2 − 24a + 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25a2 − 36b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Below in bold.
Step-by-step explanation:
Part A.
9a^2 - 24a + 16
= (3a - 4)(3a - 4).
Length of each side = 3a - 4 units.
Part B.
25a^2 − 36b^2
= (5a - 6b)(5a + 6b).
The dimensions are 5a-6b and 5a+6b.
The length of each side would be 3a - 4 units. The dimensions are 5a - 6b and 5a + 6b.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Part A.
The area of a square is [tex]9a^2 - 24a + 16[/tex] square units.
To determine the length of each side of the square by factoring the area expression completely.
[tex]9a^2 - 24a + 16\\\\= (3a - 4)(3a - 4).[/tex]
The Length of each side = 3a - 4 units.
Part B.
The area of a rectangle is [tex]25a^2 - 36b^2[/tex]square units.
To determine the dimensions of the rectangle by factoring the area expression completely.
[tex]25a^2 - 36b^2\\= (5a - 6b)(5a + 6b).[/tex]
The dimensions are 5a - 6b and 5a + 6b.
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
fin math today PLEASE
Answer:
1) Area:
So to find area follow the formula
a=πr^2
a=area
π= pi or 3.14 in this situation
r= radius
So we have only the diameter.
To in Find the radius you can divide the diameter by 2 and get the radius which is
84/2=42
3.14*42^2=
Area: 5538.96 ft^2
2) Circumference:
To find the circumfeence you just multiply the diameter by π or in this case 3.14.
c=πd
c= circumference
d= diameters
3.14*84=
Circumfrence: 263.76 ft
find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a person can eat is 16 pieces with a standard deviation of 8 pieces of sushi .constructs 90% confidence interval for the mean of amount of sushi pieces a person can eat statistics
Answer:
{13.7756,18.2244}
Step-by-step explanation:
Given the sample size, the margin of error can be calculated with the formula [tex]M=Z*\frac{\sigma}{\sqrt{n}}[/tex] where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:
[tex]M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244[/tex]
The formula for a confidence interval is [tex]CI=\bar{x}+M[/tex] where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:
[tex]CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}[/tex]
Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}
A plumber charges a $5 fee plus $12 per hour for labor. Which equation models the total cost
of a job?
Answer: y = 12x + 5
Step-by-step explanation:
Since the going rate is $12/hr, that will be the x coefficient. Since the starting fee is $5, that will be the y-intercept.
the highest possible score on an entrance exam is 800 points. what scores are between 80% to 90% of the highest possible score?
Answer: 640-720
Step-by-step explanation:
Please hurry I'm in a rush I will give brainliest to whoever answers first
Describe at least three different marine organisms (fish, mollusks, etc.) that live around coral reefs? How have these organisms adapted to living in the zone that they live in?
Answer:
The three main types of coral reefs are fringing, barrier, and atoll. Schools of colorful pennantfish, pyramid, and milletseed butterflyfish live on an atoll reef in the Northwestern Hawaiian Islands. The most common type of reef is the fringing reef. This type of reef grows seaward directly from the shore.
Step-by-step explanation:
hopes this help
Answer:Hidden beneath the ocean waters, coral reefs teem with life. Fish, corals, lobsters, clams, seahorses, sponges, and sea turtles are only a few of the thousands of creatures that rely on reefs for their survival.
Coral reefs are also living museums and reflect thousands of years of history. Many U.S. coral reefs were alive and thriving centuries before the European colonization of the nearby shores. Some reefs are even older than our old-growth redwood forests. They are an integral part of many cultures and our natural heritage.
Today, these important habitats are threatened by a range of human activities. Many of the world’s reefs have already been destroyed or severely damaged by water pollution, overfishing and destructive fishing practices, disease, global climate change, and ship groundings. However, we can still protect and preserve our remaining reefs by acting now.
Step-by-step explanation: What i found
A red panda at the zoo eats 1/10 pounds of food
each day. How many days will it take the red panda to eat one pound of food? 6 pounds of food? 56 pounds of food?
Answer:
a. 10
b.60
c. 560
Step-by-step explanation:
a. 1 times 10
b. 10 times 6
c. 10 times 56
helpppppppppppooooo :p
Answer:
1) c. 10
2) a. 1 and 18
3) d. 17
4) I think it's actually 12 but I don't know
Draw two lines that cross at one point
What are two lines joining at one point?
The definition of intersecting lines can be called two lines that cross each other a only one point. This point is called the point of intersection.
BRAINLIST
Select the word from the following list that best describes each situation.
1. You deposit money in a savings account, and every year the amount of
money in the account increases by 2.5%.
2. For every car sold, a car salesman is paid 6% of the car's price.
3. Someone who eats at a restaurant pays an extra 20% of the food price. This
extra money is kept by the person who served the food.
4. An antique furniture store pays $200 for a chair, adds 50% of that amount,
and sells the chair for $300.
5. The normal price of a mattress is $600, but it is on sale for 10% off
6. For any item you purchase in Texas, you pay an additional 6.25% of the
item's price to the state government.
A Tax
B. Commission
C. Discount
D. Markup
E Tip or gratuity
F. Interest
Answer:
F
B
E
D
C
A
Step-by-step explanation:
In the diagram given below, ADEF~ ADGH
Find q.
Answer:
q=3
Step-by-step explanation:
Ms. A. Lee is an advisor for the Walton College of Business and she is often asked by students what they should major in if they want to make a lot of money. Of course, her bias was to recommend the Walton College, but in order to make this recommendation with some evidence behind her she conducted a study in which she compared salaries (6 years after graduation) for a random sample of U. of A. graduates. She divided them into 2 groups: those who graduated from the Walton College and those who had any other major in the university. She entered her data into an Excel spreadsheet as illustrated below.
Walton Alumni Non-Walton Alumni
78000 45000
74000 54000
70000 52000
89000 41000
1. What is the independent variable in this scenario?
2. What is the dependent variable in this scenario?
3. How would you describe the research design in this scenario?
4. Assume Ms. A. Lee concluded there was no difference in salaries between colleges (Walton or Non-Walton), how many conditions to infer causation have been met?
Answer:
1. college
2, salary
3. true experiment
4. 2
Step-by-step explanation:
1. in this scenario the independent variable is the college. that is either walton college or non walton.
2. the dependent variable is the variable of interest. And this is salary. Students want to know what to major in that can give them a lot of salary when they start working.
3. This is a true experiment due to the random sample assigned.
4. 2 conditions to infer causation have been met.
Evaluate 7x + 3y when x = 2 and y = 4
Answer:
..............=7(2)+3(4)
=14+12=26.................
A bag contains 6 red marbles, 6 green marbles, and 6 blue marbles. If Olivia draws a marble, replaced it and then draws another marble, what is the probability that both marbles she draws will be red?
Answer:
5/51 or 9.8
Step-by-step explanation:
Since she does not put the marble back it's dependent.
1/3 chances the first marble is red and 5/17 the second is too.
Multiply and you get 5/51 odds, or approximately 9.8% chance
Answer:
1/9.
Step-by-step explanation:
Prob(First marble is red) = 6/18 = 1/3
Prob(Second marble is red) = 1/3
Required probability = 1/3 * 1/3 = 1/9.
How do I solve for IQR?
Answer:
1.Order the data from least to greatest.
2.Find the median.
3.Calculate the median of both the lower and upper half of the data.
4.The IQR is the difference between the upper and lower medians.
Step-by-step explanation:
Does anyone know the answer?
Answer:
a = √5
b ∈ (−∞,∞)
Step-by-step explanation:
(7 + 3√5)/(3 + √5) - (7 - 3√5)/(3 - √5) = a + b√5
⇔ (7 + 3√5)(3 - √5)/(3 + √5)(3 -√5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ (7 + 3√5)(3 - √5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ 4√5/4 = a + b√5
⇔ √5 = a + b√5
⇔ b = (5 - a√5)/5
Replace b with (5 - a√5)/5
⇒ a + (5 - a√5)/5 = √5
⇔ a × 5 + (5 - a√5)(5)/5 = √5 × 5
⇔ a × 5 + 5 - a√5 = 5√5
⇔ a × 5 - √5 × a = 5√5 - 5
⇔ a(5 - √5) = 5√5 - 5
⇔ a = √5
If only 4 of your 15 employees showed up for a shift, what percent of the
employees came to work?
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 36 books. There are 1,188 mystery books.
Answer:
33 bookshelves
Step-by-step explanation:
I think this question is asking how many shelves he needs, but I am unsure because the question is incomplete.
If there are 1,188 books, and each shelf can hold 36 books, we need to divide.
[tex]number of books[/tex]÷[tex]bookspershelf[/tex]
[tex]1188[/tex]÷[tex]36[/tex]=[tex]33[/tex]
We need 33 bookshelves
Hope this helps :-)
What is the value of x?
Answer:
X = 1
Step-by-step explanation:
X is none number but equals to 1
Answer:
X=11
Step-by-step explanation:
Similar triangles....
6/48 = 5/3x+7
6(3x+7) =240
3x+7=40
3x=33
x=11
Plz help will gift extra pints if you help
answer all the questions also
Answer:
1. Yolanda's error is that the sample does not consist of all of Tichenor Middle School's students.
2. The sample size is 40 students. This is the sample size, because if you add up the amounts of students which voted for each animal, it adds up to 40.
Step-by-step explanation:
Find sec 0 if 0 is in quadrant 4 and sin 0- 1/5
Answer:
5/(2√6)
Step-by-step explanation:
.
Mrs Tan packed 42 strawberry cookies and 49 chocolate cookies in boxes
such that each box had an equal number of each type of cookies. What was
the greatest number of boxes used if all the cookies were packed?
Answer:
6 boxes
Step-by-step explanation:
HCF of 42 and 49 gives us 7.
So, 7 is the greatest number of boxes used if all cookies were packed.
Mark me brainliest thenkss :)
Four classmates collect data by conducting a poll. They
ask students chosen at random how many days a week
they stay after school for clubs.
• Zach interviews 100 students.
• Alyssa interviews 65 students.
• Olivia interviews 75 students.
• Ryan interviews 45 students.
Whose results are probably the most trustworthy?
A. Ryan's
B. Olivia's
C. Zach's
D. Alyssa's
Answer:
C, he interviewed the most people.
Brainliest please!
Answer:
C. Zach's
Step-by-step explanation:
A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels the average weekly growth rate of the new shrub is 4cm per week. A random sample of 40 shrubs has an average growth of 1.50cm per week with a standard deviation of 5cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 4cm per week at a 0.200 significance level?
Find the value of the test statistic. Round your answer to three decimal places, if necessary.
Answer:
Following are the answer to the given question:
Step-by-step explanation:
Following are the null and alternative Hypothesis:
[tex]Null \ Hypothesis: \mu = 4\\\\Alternative \ Hypothesis: \mu < 4[/tex]
Rejection Zone
This is left tailed test, for α = 0.2 and df = 39
[tex]critical\ value(t) = -0.851\\\\reject\ H_0 \ when = t < -0.851[/tex]
Testing statistic:
[tex]t = \frac{(\bar{x} - \mu)}{( \frac{s}{\sqrt{n}})}[/tex]
[tex]= \frac{1.5 - 4}{\frac{5}{\sqrt{40}}}\\\\= \frac{-2.5}{\frac{5}{6.32}}\\\\= \frac{-2.5}{0.79}\\\\ = -3.162[/tex]
[tex]P-value = 0.0015[/tex]
P-value < 0.2, reject the null hypothesis.
Approach to the Rejection Zone:
The null hypothesis is rejected since the test statistic t is outside of the critical range value. Only at the 0.200 significance mark, there's significant evidence that its new shrub's growth rate is less than 4 cm per week.
HELP ME PLEASEEEEEEEEEEE
Answer:
12
Step-by-step explanation:
12/2=6
Tell me if it works
Answer: z=12
Step-by-step explanation: Hope this help :D
2 After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage. They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are the conditions for inference met? O Yes, the conditions for inference are met No, the 10% condition is not met No, the randomness condition is not met No, the Large Counts Condition is not met.
Answer:
Yes, the conditions for inference are met
Step-by-step explanation:
Conditions for inference:
To build a confidence interval for a population proportion, the sample must have at least 10 successes and 10 failures.
In this question:
50 cars, 11 have damage and 50 - 11 = 39 do not.
Since both the number of sucesses and of failures is above 10, conditions for inference are met.
Evaluate 20 + 6x when x = 0.
Answer:
If x=0 then the answer is 20.
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
6x0 = 0 so 20 plus 0 = 20 when x = 0 because x cancels out