13.3 is the rate boom
A study was conducted of Long Beach School District schools regarding how
many require school uniforms. In 2006, of the 296 schools questioned, 184 said
they required school uniforms. (Gentile & Imberman, 2009) Find the proportion
of schools that require a school uniform.
The alternative hypothesis is Ha : μa ≠ μb Ha : μa - μb ≠ 0
Since they want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant, it means that it is a two directional test. Also called a two tailed test. The hypothesis would be as follows:
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
By using the appropriate symbols, it becomes
The null hypothesis is
H0 : μa = μb H0 : μa - μb = 0
The alternative hypothesis is
Ha : μa ≠ μb Ha : μa - μb ≠ 0
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The height h of an object thrown from the top of a ski lift 1240 feet high after t seconds is h=-16t2 +32t+1240. For what times is the height of the object at least 1000 feet?
←
The height of the object is at least 1000 feet from seconds to seconds.
Check the picture below.
so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.
\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)
now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.
So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark happened between 0 and 5 seconds.
answer this please 6x^2 - x^2
Use only the digits 0 - 9 and the decimal and the negative sign, if needed, to fill in the blank. If f(x) = 2x + 9, then f(-1) = _____.
Answer:
7
Step-by-step explanation:
f(x) = 2x + 9
Put x as -1.
f(-1) = 2(-1) + 9
Multiply both terms 2 and -1.
f(-1) = -2 + 9
Add the terms -2 and 9.
f(-1) = 7
I NEED HELP PLZ
Find 15% of 47.
Rectangular Garden
A rectangular garden shown above is enclosed by
60
60
feet of fencing on three sides and by a wall on the fourth side. One of the sides of the garden that is perpendicular to the wall is
x
x
feet long. In terms of
x
,
x
,
what is the length, in feet, of the side of the garden that is against the wall?
Answer:
The length, in feet, of the side of the garden that is against the wall is(60 - x - CD) ft.
Step-by-step explanation:
Consider the diagram below.
The wall is labelled as AD, the side perpendicular to the wall is labelled as AB and the side against the wall is labelled as CB.
It is provided that the rectangular garden is enclosed by 60 feet of fencing on three sides.
That is,
AB + CB + CD = 60 ft.
⇒ x + CB + CD = 60 ft.
Then the length, in feet, of the side of the garden that is against the wall is:
x + CB + CD = 60 ft.
⇒ CB = (60 - x - CD) ft.
Answer: 60-2x
Step-by-step explanation:
Anna travelled 3 miles by bus, 5 miles by train, and the rest 7
miles by car. Find the percentage of distance travelled by her in
the train?
45.455% is the percentage of distance travelled by her in the train .
In math, what is a distance?
The length of the line segment connecting the two sites is used to measure distance between them.
The shortest segment of a line connecting a point to a line will have a length equal to the distance between them.
Distance travelled by bus = 3 miles
Distance travelled by train = 5 miles
Distance travelled by car = 3 miles
Total distance travelled = 3 + 5 + 3 = 11 miles
the percentage of distance travelled by her in the train = 5/11 * 100
= 45.455%
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What is the area of this trapezoid?
Answer:
The area is \(80\)
Step-by-step explanation:
rectangle in the middle; 24
both triangles on the side; 56
In total; 80
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
After taking a 70 point test, a student guesses that he got 65 points correct. Later he finds out he got 67 points
correct. Calculate the percent error of his guess to 3sf.
Answer:
Percent error = 4.29%
Step-by-step explanation:
Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, it is given by this expression;
\( Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100\)
Given the following data;
Experimental value = 67
Theoretical value = 70
Substituting into the equation, we have;
\( Percent \; error = \frac {67 - 70 }{ 70} *100\)
\( Percent \; error = \frac {3}{70} *100\)
\( Percent \; error = 0.04286 *100\)
Percent error = 4.29%
7. The temperature in Copenhagen is -9 °C.
Draw an arrow pointing to -9 °C on this number line.
-10
0
10
The temperature in Manchester is 3 °C.
Find the temperature difference between Manchester and Copenhagen.
Use the number line to help you.
Here is the answer, note that I made this on my laptop, and the bigger line is where -9 is
this is the questions
Answer and Step-by-step explanation:
To convert degrees into radians, we multiply by \(\frac{\pi }{180}\).
13.
40° × \(\frac{\pi }{180}\) = \(\frac{2\pi }{9}\)
14.
80° × \(\frac{\pi }{180}\) = \(\frac{4\pi }{9}\)
15.
100° × \(\frac{\pi }{180}\) = \(\frac{5\pi }{9}\)
16.
12° × \(\frac{\pi }{180}\) = \(\frac{\pi }{15}\)
These are the answers.
#teamtrees #PAW (Plant And Water)
A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.
How many employees took a break longer than 49 minutes?
Help please!
Note: Put the correct answer! I don't want to get this wrong!
Thank you <3
Approximately 7 employees took a break longer than 49 minutes.
We have,
In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.
The line within the box represents the median.
The "whiskers" extend to the minimum and maximum values, excluding any outliers.
Given the information provided:
Median = 41
Q1 = 37
Q3 = 49
Largest = 55
Smallest = 35
Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.
Now,
The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:
25% of 27 employees
= (25/100) x 27
= 6.75
Since we cannot have a fractional number of employees, we round up to the nearest whole number.
Therefore,
Approximately 7 employees took a break longer than 49 minutes.
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Question 10: The graph below shows a company's profits f(x), in dollars, depending on the price of 8.01 & 8.04
pens x, in dollars, sold by the company.
Part A (2pts): Highlight your answer below
150
90
00
30
f(x)
What does the maximum value represent?
A The point where no profit is made
B.
C.
D.
The point where the most profit is made
The point where the most pens are made
The point where no pens are made.
Part B (2 pts) Highlight/circle your answer What do the x-intercepts represent?
A.
The price per pen where the most profit is made
B.
The price per pen where no profit is made.
C.
D.
The point where the most pens are made.
The point where no pens are made.
Part C (3 pts): What is an approximate average rate of change of the graph from
x=3 to x = 6? Show your work.
Part D (3 pts) Drag & Drop into the blanks to describe the constraints of the
domain.
The domain of this graph given the situation is
because
beyond those points.
+
Z
The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.
Part A:
The x-intercepts represent a zero profit.
The maximum value of the graph represents the maximum profit.
The function increases up till the vertex and decreases after it.
This means that the profit increases as it reaches the peak at the vertex.
It decreases after the vertex up till it reaches zero.
On the left of the first zero and on the right of the second zero, the profits are negative.
Part B:
An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5.
Part C:
Simply, the domain is constrained by x=0.
We are obliged at x=6 .
This is because we have to avoid a negative profit.
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What is the slope of the line?
m=?
Answer:
m=1/3
Step-by-step explanation:
slope is rise over run
go up 1 over 3
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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I need help asap thank you
Answer:
(x, -y)
Step-by-step explanation:
When you reflect across the x-axis, the point moves vertically up or down to the other side of the x-axis. The x-coordinate of the point remains the same. The y-coordinate of the point becomes the opposite of the original value.
x remains x. y becomes -y.
Answer: (x, -y)
c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
Consider the steps James uses to solve the equation 2(x – 10) = 24. Equation: 2(x - 10) = 24 Step 1: 2x - 10 = 24 Step 2: 2x = 34 Step 3: x = 17 In which step, if any, did James make an error? A. Step 1 B. Step 2 C. Step 3 D. James did not make an error.
In the steps that James uses to solve the given equation he made a mistake:
We have:
\(2\cdot(x-10)=24\Rightarrow2x-20=24\)James needed to apply the distributive property in the first step. However, he did not.
Therefore, James made an error in Step 1, that is, option A.
A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 7 1/2 in by 2in by 3in. If the bricks cost $0.09 per cubic inch, find the cost of 800 bricks. Round your answer to the nearest cent.
The first step is to find the volume of one brick
V = l*w*h where l is the length, w is the width and h is the height
V = 7.5 * 2 * 3
V = 45 in^3
Now we can find the cost of one brick
Cost = .09 per in^3
45 * .09 = 4.05
We have 800 bricks at this cost
800 * 4.05 =3240
800 bricks will cost $3240
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
sin¹(x)-cos¹ (x)/sin²(x)-cos² (x) =1
The table shows the ages of Mark's family members.
Name
Age (years)
381
Phil
Tammy
32
4
Liam
?
Chris
91
4
Andi
4
2
The combined age of all five family members is 95 years. What is Liam's age?
A. 10
years
B.
12 years
o c. 141
years
OD. 15 years
Answer:
b
Step-by-step explanation:
it's b if I am wrong I am sorry
Please I really need help with this
Answer:
(-20x -25)/(x^2-x-30)
Step-by-step explanation:
You want to simplify the rational expression (3x²)/(x²-x-30) -(3x+5)/(x-6).
Use a common denominatorUsually these problems are constructed so that the higher-degree polynomial denominator has the lower degree denominator as a factor. That is the case here.
\(\dfrac{3x^2}{x^2-x-30}-\dfrac{3x+5}{x-6}=\dfrac{3x^2}{(x+5)(x-6)}-\dfrac{(x+5)(3x+5)}{(x+5)(x-6)}\\\\=\dfrac{3x^2-(3x^2+20x+25)}{x^2-x-30}\)
Simplify\(=\boxed{\dfrac{-20x-25}{x^2-x-30}}\)
The mean life of a new smart LED bulb is 20,000 running hours with a standard deviation is 2,250 hours. The data is normally distributed. If a home improvement store sold 18,000 of these light bulbs in the first year of production, how many light bulbs would you expect to last longer than 22,250 hours?
Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.
Step-by-step explanation:
To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.
Answer:
the afternoon is the right one
can you help me pls
Answer:
a) C is the correct option.
b) rate = distance
time
t = 6s count the units.
d = 8 feet
rate = 4/3 feet/s
c) at 13 seconds. The rate to be zero that means the distance travelled is zero. From the graph, Terrence starts at 2 feet and maintains at 8 feet and decrease to 0 feet after 13 seconds. Therefore, the time for Terrence's rate to be 0 feet/s is at 13 s.
7. Your closet has 10 shirts for every 4 sweaters. Your closet has 40 shirts. How many sweaters are
in your closet?
Answer:
16 sweaters
Step-by-step explanation:
4=10
4=10
4=10
4=10
4x4=16
Time Remaining
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Biologist tagged 700 rabbits in Bryer Lake National Park. At a later date, they found 6 tagged rabbits in a sample of 1800. Estimate
the total number of rabbits in Bryer Lake National Park.
Answer:
210000 rabbitsStep-by-step explanation:
Ratio of tagged to non-tagged is:
6 : 1800 = 1 : 300This is 300 non-tagged per 1 tagged
Since there are 700 tagged rabbits, the estimated number is:
700*300 = 210000Burnwood Tech plans to issue some $50 par preferred stock with a 8% dividend. A similar stock is selling on the market for $65. Burnwood must pay flotation costs of 6% of the issue price. What is the cost of the preferred stock? Round your answer to two decimal places.
Answer:
6.5%
Step-by-step explanation:
The formular used to calculate the cost of preferred stock is:
= Fixed dividend/Net proceeds
Fixed dividend= $50 × 8/100
= $50×0.08
=$4
Net proceeds= Market price-Flotation costs
= $65-(6/100×$65)
= $65-(0.06×$65)
= $65-3.9
= $61.1
Therefore cost of preferred stock is
= 4/61.1 ×100
= 0.065×100
= 6.5%
Hence the cost of preferred stock is 6.5%
Which of the following is the most likely the next step in the series?
Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.