Using the t-distribution, it is found that the value of the test statistic is given by:
(c) -2. 22
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is not greater than 250, that is:
[tex]H_0: \mu \leq 250[/tex]
At the alternative hypotheses, it is tested if it is greater, that is:
[tex]H_1: \mu > 250[/tex]
What is the test statistic?It is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are:
[tex]\overline{x} = 230, \mu = 250, s = 36, n = 16[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{230 - 250}{\frac{36}{\sqrt{16}}}[/tex]
t = -2.22.
Which means that option C is correct.
More can be learned about the t-distribution at https://brainly.com/question/26454209
Tank A fills at a rate of 6 gallons per hour and discharges water at a rate of 69 gallons per day. If the tank starts out empty, how much water would be in the tank after 24 hours
The tank fills up at a daily rate of
(6 gal/hr) (24 hr/day) = 144 gal/day
so the net rate is
144 gal/day - 69 gal/day = 75 gal/day
and after 24 hours, the tank would contain 75 gal of water.
75 gallons of water would be in the tank after 24 hours.
How to elaborate the problem ?
Tank A fills at a rate of 6 gallons/hr
We know that, 1 day = 24 hours
So, Tank A fills in a day = (6 × 24) gallons
Given that, The tank discharge water at a rate 69 gallons per day.
How much water would left after 24 hours ?Total water in the tank A in 24 hours = 144 gallons
Tank A discharge water in 24 hours = 69 gallons
∴ Water left in the tank A after 24 hours = (144-69) gallons
= 75 gallons
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The bus will leave in 7 minutes. what time will it leave?
Answer:
1:52
Step-by-step explanation:
The clock reads 1:45 so simply add 7 minutes to that
Answer: 7 minutes
Step-by-step explanation:
The answer is in the first statement :)
Which is a solution to (x − 2)(x 10) = 13? x = 3 x = 8 x = 10 x = 11
The solution of the given expression (x − 2)(x 10) = 13 are x=3 or x=-11. So the option A is correct.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
(x-2)(x+10) = 13
Subtract 13 from both sides
x²+8x-20-13=13-13
x²+8x-33=0
Factorized
(x-3)(x+11)=0
x-3=0 or x+11= 0
x=3 or x=-11
Thus, The answer is A
Learn more about quadratic equations;
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Answer:
A) 3
Step-by-step explanation:
LCD of (2/x^2) - (7/4x^2+12x)?
Answer:
4x³ + 12x²
Step-by-step explanation:
I assume the denominators are x² and 4x although that is not what you wrote.
x² = x² (already factored)
4x² + 12x = 4x(x + 3)
LCD = 4 × x² × (x + 3)
LCD = 4x³ + 12x²
can someone please answer this?
to answer this one, were gonna need the answer choices :)
AWNSER PLEASEEEEEEEEEEEEEEEEEE
Answer:
<-1,-7>
Step-by-step explanation:
You move the z line so it goes southwest instead of northeast, since you are subtracting it. The x range is 8 and y range is 2, so count it from 4,-4. 8 points to left and 2 points down.
Who ran farther by the end of the week how much farther use the table below that shows the distances in miles
Answer:
Yu ran farther by the end of the week.
Step-by-step explanation:
Fraction addition
[tex]\sf \text{Total distance ran by Holy= $1\dfrac{1}{2}+\dfrac{1}{2}+2\dfrac{1}{4}+\dfrac{3}{4}+1\dfrac{1}{2}$}[/tex]
Convert mixed fractions to improper fractions
[tex]\sf =\dfrac{3}{2}+\dfrac{1}{2}+\dfrac{9}{4}+\dfrac{3}{4}+\dfrac{3}{2}\\\\ = \dfrac{3}{2}+\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\=\dfrac{7}{2}+\dfrac{12}{4}\\\\=\dfrac{7*2}{2*2}+\dfrac{12}{4}\\\\=\dfrac{14}{4}+\dfrac{12}{4}\\\\=\dfrac{14+12}{4}\\\\=\dfrac{26}{4}\\\\=\dfrac{13}{2}\\\\=6\dfrac{1}{2} \ miles[/tex]
[tex]\sf \text{Distance travelled by Yu=1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}}[/tex][tex]\sf \text{Distance traveled by Yu= $1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}$}[/tex]
[tex]\sf = \dfrac{7}{4}+\dfrac{3}{2}+\dfrac{11}{4}+\dfrac{5}{4}+\dfrac{1}{2}\\\\ =\dfrac{(7+11+5)}{4}+\dfrac{3+1}{2}\\\\= \dfrac{23}{4}+\dfrac{4}{2}\\\\=\dfrac{23}{4}+\dfrac{4*2}{2*2}\\\\=\dfrac{23}{4}+\dfrac{8}{4}\\\\=\dfrac{31}{4}\\\\=7\dfrac{3}{4} \ miles[/tex]
Yu ran farther by the end of the week.
Convert the following into metres.
A- 22cm
B- 180km
C-300mm
A) 22cm
( divide the length value by 100)
22/100 which gives you:
=0.22m
B) 180km
( multiply the length value by 1000)
180×+100 which gives you:
=180000m
C) 300mm
( divide the length value by 1000)
300/1000 which gives you:
=0.3m
What is the mode of this data set
{2, 2, 3, 3, 4, 4, 4, 4,}
Enter your answer in the box.
Answer:
4
Step-by-step explanation: 2 shows 2 times. 3 shows 2 times. 4 shows 4 times. So 4 is more common than the others. So your answer would be 4
Come and get Brainliest!!!
A rectangle has sides measuring (2x + 7) units and (5x + 9) units.
Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
Answer:
A: 10x^2 +53x +63 B: degree 2; quadratic trinomial C: the result of the multiplication of polynomials is a polynomial
Step-by-step explanation:
Part A:
The area is the product of length and width. The distributive property is useful for simplifying the expression.
A = LW
A = (2x +7)(5x +9) = 2x(5x +9) +7(5x +9)
A = (10x^2 +18x) +(35x +63)
A = 10x^2 +53x +63 . . . . area expression
Part B:
The highest power of x is 2. There are 3 terms. A degree-2 polynomial is called a "quadratic." A 3-term polynomial is called a "trinomial."
degree 2
quadratic trinomial
Part C:
In part A we multiplied two polynomials and came up with a result that is a polynomial. This suggests polynomials are closed with respect to multiplication.
I hope this helps!!
Please Help me !! Its a Math problem * i will give brainlist Three functions are shown in the table Which of the functions represents a linear function? Explain.
Answer: The answer is B.
Step-by-step explanation:
For large A restaurant at a 15% service charge to the bill how much would be added to a bill of 638. 40
Answer:
15% of 638.40 = 95.76
638.40 + 95.76
= 734.16
Step-by-step explanation:
At a bag sale, the total amount of money collected from the sales was $12 150. The number of Bag P and Bag Q sold were in the ratio of 5 : 2. The number of Bag Q and Bag R sold were in the ratio of 3 : 4. The cost of Bag P was $50. The ratio of the cost of Bag P to the cost of Bag Q to the cost of Bag R was 1 : 3 : 6. What was the total number of bags sold at the sale?
Answer:
so basiclly a monkey can not turn into a monkey so they are real monkeys
Step-by-step explanation:
Need help!! This is due before 1:00 please help ASAP!!! Will give brainliest!!
Answer:
7. 22 2/5 8. 10 8/10
Step-by-step explanation:
7. 7x3=21 + 7x1/5= 22 2/5
8. 2x5=10 + 2x4/10= 10 8/10
Nicole is on her way home in her car. She has driven 10 miles so far, which is one-half of the way home. What is the total length of her drive?
Answer:
20 miles
Step-by-step explanation:
10 x 2 = 20
10 miles is half the drive so you'd just multiply it by 2 and that would be the full amount of miles home.
Answer:
The total length of Nicol’s drive would be 20 miles.
If The first half of her trip takes 10 miles then the second half would have an equal number of miles. 10x2=20
You would use 10 two times because 1/2+1/2=1.
Therefore the total amount of miles Nicole will travel will be 20.
question is in the image below
PLS HELP FAST !!!
The chart below shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number
Answer: Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.
Step-by-step explanation:
Theater is a place where the movies are shown in big screens and Speakers are used for the clear audio of the movie.
In a theater there will be 3 to 4 shows for a movie or different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
Consider a ticket cost of 200rs. For 100 people in a show ,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.
What workshops and seminars are featured on April 20th for Chinese Language Day
Answer:
How to Celebrate Chinese Language Day.
Celebrate Chinese Language Day by trying to learn Chinese! Online programs or colleges courses can give you plenty of opportunities to learn the Chinese language in all of its complexities.
If you know Chinese, then put it on your resume and try and use it in your work to see what connections you can make with others. I hope I could help
Solve the system of equations.
7x – y = 7
7x2 – y = 7
(0, 7) and (0, –7)
(1, 0) and (0, –7)
(3, 14) and (0, –7)
(4, 14) and (–1, 10)
Answer:
2nd option
Step-by-step explanation:
7x - y = 7 ( multiply through by - 1 )
- 7x + y =- 7 ( add 7x to both sides )
y = 7x - 7 → (1)
7x² - y = 7 → (2)
substitute y = 7x - 7 into (2)
7x² - (7x - 7) = 7 ← distribute parenthesis on left side
7x² - 7x + 7 = 7 ( subtract 7 from both sides )
7x² - 7x = 0 ← in standard form
7x(x - 1) = 0 ← in factored form
equate each factor to zero and solve for x
7x = 0 ⇒ x = 0
x - 1 = 0 ⇒ x = 1
substitute these values into (1) for corresponding values of y
x = 0 : y = 7(0) - 7 = 0 - 7 = - 7 ⇒ (0, - 7 )
x = 1 : y = 7(1) - 7 = 7 - 7 = 0 ⇒ (1, 0 )
Answer:
B. (1, 0) and (0, –7)
Step-by-step explanation:
I took the algebra exam
Expressions equivalent to 16x+12
Answer:
-4/3 or -1 1/3
Step-by-step explanation:
16x+12=0
16x=-12
x=16/-12
Please help me with this problem, I’ll mark you as Brainly!
Answer:
For no values of x.
Step-by-step explanation:
A function is increasing when its graph is sloping upwards.
Conversely, a function is decreasing when its graph is sloping downwards.
From the given graph, we can see that it is sloping downwards at all x values. In other words, it is always decreasing and never increases.
Therefore, for no values of x is the graph increasing.
The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes?
Answer:
27:1
Step-by-step explanation:
27 days to 1 day = 27:1
Answer:the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the
Step-by-step explanation:
59) You are given the equation y=24+3x
a. Make up a story that matches the equation
Answer: y can be equal to the gym membership fee you pay for 4 months If $24 is the month 1 deposit and × is the fixed charges for subsequent months.
Step-by-step explanation: Month 1: y=24
month 2:y=24+×
Month Month3: y= 24+2×
Month 4:y=24+3×
The area of a triangle is 106 square feet. The base is twice the height. Find the height.
Answer:
The height is [tex]\sqrt{106}[/tex] feet
Step-by-step explanation:
First, lets assign and categorize the information given to us:
Area = 106 [tex]ft^{2}[/tex]
b = 2h (Base is twice the height)
Next, lets look at the formula for the area of a triangle:
Area = [tex]\frac{1}{2} bh[/tex]
Then, lets substitute the given information and solve:
106 = [tex]\frac{1}{2}[/tex] * 2h * h
106 = [tex]h^{2}[/tex]
[tex]\sqrt{106}[/tex] feet = h
Last year, Allison paid a monthly cooperative maintenance fee of $873. 12% of this fee
covered her monthly property taxes. How much did she pay last year in property taxes on
her co-op?
The equation d = startfraction 13 over v endfraction shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. what happens to the density as the volume approaches 0? the density approaches infinity. the density approaches 0. the density approaches 1. the density approaches 13.
Answer:
(a) the density approaches infinity
Step-by-step explanation:
As with any inverse relation, when one variable gets smaller, the other gets larger.
When the volume approaches zero, the density approaches infinity.
Answer:
its A
Step-by-step explanation:
What is the area of the triangle that has a base of 15 1/4 and a hight of 18
Answer:
137.25 units²
Step-by-step explanation:
A = bh/2
A = (15.25)(18)/2
A = 274.5/2
A = 137.25 units ²
I hope this helps!
A home appraisal company would like to develop a regression model that would predict the selling price of a house based on the age of the house in years (Age), the living area of the house in square feet (Living Area) and the number of bedrooms (Bedrooms). The following Excel output shows the partially completed regression output from a random sample of homes that have recently sold. The predicted selling price for a home that is 12 years of age, has 2,500 square feet of living area, and has four bedrooms is ________
The regression solved shows that the predicted selling price for a home that is 12 years of age is $443747.
How to compute the value of the home?From the complete information, the regression equation is given as:
y = 108597.37 - 580.687 × age + 86.82 × living areas + 31261.9127 × bedroom
Therefore, the predicted selling price will be:
= 108597.37 - 580.687 × 12 + 86.82 × 2500 + 31261.9127 × 4
= $443747
In conclusion, the selling price is $443747.
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Math
Please answer the question please and thank you.
Answer:
The answer is Cubic Meter
PLSSS HELP IF YOU TURLY KNOW THISS
5/4 or 1 1/4
rewrite 5 as 5/1 and then multiply 5/1 by 1/4
(5*1)/(1*4) = 5/4 = 1 1/4
Answer: Hiya!
Simplify the expression.
Step-by-step explanation:
Mixed Number Form:
✓ 1 1/4
Exact Form:
✓ 5/4
Hopefully this helps!
- Matthew <3