A clothing store offers a shirt in 5 colors, in long or short sleeves, with a choice of three different collars. How many ways can the shirt be designed? a. 20 c. 30 b. 25 d. 50
Answer:
30
Step-by-step explanation:
Information for the park trails is displayed at the entrance to the park office.
How long is Trail B?
Show your work and round your answer to the nearest foot.
What is the smallest angle of rotational symmetry that maps a regular nonagon (9 sides) onto itself?
___°
The smallest angle of rotational symmetry that maps a regular nonagon onto itself is 40 degrees. This is calculated by dividing the total 360 degrees of the nonagon by its number of sides, which is 9.
Explanation:The smallest angle of rotational symmetry that maps a regular nonagon onto itself is obtained calculating the total 360 degrees of the nonagon divided by the total number of sides, which is 9.
Here is the step-by-step calculation: 360 degrees / 9 sides = 40 degrees
Therefore, the smallest angle of rotational symmetry for a regular nonagon is 40 degrees.
Learn more about Rotational Symmetry here:https://brainly.com/question/1597409
#SPJ12
Subtract. Your answer should be a polynomial in standard form. (-9g^4+3g^2h+1) -(6g^4-3g^2h+h)
For what values of m does the graph of y=3x^2+7x+m have two x-intercepts
Answer:
For all [tex]\frac{49}{12}>m[/tex], the graph of given equation have two x-intercepts if the discriminant is positive.
Step-by-step explanation:
A quadratic equation [tex]y=ax^2+bx+c[/tex] has
1. No x-intercept if [tex](b^2-4ac)<0[/tex].
2.One x-intercept if [tex](b^2-4ac)=0[/tex].
3. Two x-intercept if [tex](b^2-4ac)>0[/tex].
The given equation is
[tex]y=3x^2+7x+m[/tex]
It is a quadratic equation. Here, a=3, b=7 and x=m. The graph of given equation have two x-intercepts if the discriminant is positive.
[tex](b^2-4ac)>0[/tex]
Put a=3, b=7 and x=m in the above inequality.
[tex]7^2-4(3)(m)>0[/tex]
[tex]49-12m>0[/tex]
Add 12m on both the sides.
[tex]49>12m[/tex]
Divide both sides by 12.
[tex]\frac{49}{12}>m[/tex]
For all [tex]\frac{49}{12}>m[/tex], the graph of given equation have two x-intercepts if the discriminant is positive.
Write an equation, in the slope intercept form, of the line with an x-intercept at (3 , 0) and a y-intercept at (0 , -5).
Hello : let A(3,0) B(0,-5)
the slope is : (YB - YA)/(XB -XA)
(-5-0)/(0-3) = 5/3
If mRV = mVU, what is mVU?
Answer:
Answer: C
Step-by-step explanation:
Edge 2021
Based on this map, about how long is the niger river? 500 miles 1,500 miles 2,600 miles 3,900 miles
The Nile River is 2,600 miles long. If you are answering the FLVS question then it is also 2,600 miles.
Using the fractions 2/3 and 3/4 describe how to give two fractions common denominators
i have zero idea.. help please.
Add 11.25 and 0.03.
3 is repeating.
Why does a low range indicate precision in a measurement tool?
Juan is saving money for a new car. He has already saved $200 and plans to save $25 per week. This situation can be represented by the function f(x) = 200 + 25x, where x is the number of weeks. How much money has Juan saved after 8 weeks?
$200
$400
$600
$800
400 is the correct answer. I am too lazy to put an explanation, but trust me it's not 800, I just got it wrong.
Please help with the tennis court one.
Answer:
Length = 78 feet
Width = 36 feet
Step-by-step explanation:
Write the decimal 3.59 as a mixed number in simplest form.
SOMEONE PLEASE HELP ME ASAP!!!!!!!
Below is a data set consisting of 33 whole-number observations. Its five-number summary is:
(16,20,22,30,46).
What is the range of the data?
A. 6
B. 16
C. 24
D. 30
Below is a data set consisting of 33 whole-number observations. Its five-number summary is:
(16,20,22,30,46).
How many observations are strictly less than 20?
A wide variety of oak trees grow in the United States, In one study, a sample, of acorns was collected from different locations, and their volumes, in cm^3, were recorded. In the table are the summary statistics for these data:
Statistic | Value
N | 38
Mean | 3.0
Median | 1.8
St.Dev. | 2.6
Minimum | 0.3
Maximum | 10.5
1st Quartile | 1.1
3rd Quartile | 4.3
Describe a procedure that uses some or all of these summary statistics to determine whether outliers are present in the data.
Show the work using the procedure from the previous question to determine if there are outliers in these data.
To determine the number of observations below 24 in the given data set with a five-number summary, we find 25% of 33, yielding 8 observations.
To find the number of observations strictly less than 24, we need to understand the structure of the five-number summary: minimum (12), Q1 (24), median (38), Q3 (51), and maximum (69).
Since Q1 (24) represents the 25th percentile, it indicates that 25% of the observations lie below 24. Therefore, the number of observations strictly less than 24 is 25% of the total number of observations.
Given that there are 33 unique observations, we calculate 25% of 33 as:
[tex]\[ \text{Number of observations} = \frac{25}{100} \times 33 = 8.25 \][/tex]
As we can't have a fraction of an observation, we round down to the nearest whole number. Therefore, there are 8 observations strictly less than 24.
Hence, 8 observations are strictly less than 24 in the given data set.
This calculation involves understanding the position of Q1 in the data set and applying the concept of percentiles to determine the number of observations below a certain value.
The question probable maybe:
Given a data set consisting of 33 unique whole number observations, its five-number summary is: 12, 24, 38, 51, 69
How many observations are strictly less than 24 ?
1. The range of the data is 30.
2. The number of observations strictly less than 20 is the count of observations is 16.
3. Based on the IQR method, there are no outliers in the data.
Let's address each question one by one:
1. Range of the data:
The range of the data is the difference between the maximum and minimum values in the dataset. From the five-number summary given, we have:
Maximum = 46
Minimum = 16
So, the range is:
[tex]\[ \text{Range} = \text{Maximum} - \text{Minimum} = 46 - 16 = 30 \][/tex]
Therefore, the range of the data is 30. Hence, the correct answer is D. 30.
2. Observations strictly less than 20:
From the five-number summary, we know that 20 is the second quartile (median) of the dataset. Observations strictly less than 20 would fall in the first quartile. Therefore, we need to find the number of observations below the first quartile.
Given:
First Quartile = 16
Observations strictly less than 20 = Number of observations below the first quartile.
So, the number of observations strictly less than 20 is the count of observations below the first quartile, which is 16.
Now, for the third question:
To determine if outliers are present in the data, we can use the Interquartile Range (IQR) method.
The Interquartile Range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1).
[tex]\[ \text{IQR} = Q3 - Q1 \][/tex]
Any data point that falls below [tex]\( Q1 - 1.5 \times \text{IQR} \) or above \( Q3 + 1.5 \times \text{IQR} \)[/tex] is considered an outlier.
Given:
Q1 = 1.1
Q3 = 4.3
[tex]\[ \text{IQR} = Q3 - Q1 = 4.3 - 1.1 = 3.2 \][/tex]
Therefore, the lower bound for outliers is [tex]\( 1.1 - 1.5 \times 3.2 = -3.7 \)[/tex] (which is not relevant in this context), and the upper bound for outliers is [tex]\( 4.3 + 1.5 \times 3.2 = 9.9 \).[/tex]
Looking at the summary statistics:
- The minimum value is 0.3, which is within the range.
- The maximum value is 10.5, which is also within the range.
Hence, based on the IQR method, there are no outliers in the data.
In his free time, Gary spends 8 hours per week on the Internet and 10 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
Answer:
He spent a total of 22.85+28.57 = 51.42 % of his free time o internet and videogames.
Step-by-step explanation:
If Gary has 5 hours of free time per day, he has 5*7=35 hours of free time per week.
Now, in the case of internet:
[tex]\frac{35h}{8h}= \frac{100}{x}[/tex]
[tex]x= \frac{8*100}{35}[/tex]
x= 22.85% spent on internet.
In the case of videogames:
[tex]\frac{35h}{10h}= \frac{100}{x}[/tex]
[tex]x= \frac{10*100}{35}[/tex]
x= 28.57% spent on internet.
3. Solve. 5 < x - 2 < 11
A. 5 < x < 11
B. 7 < x < 13
C. 7 < x < 11
D. 5 < x < 16
The baby weighed 7.25 pounds at birth.At the end of 8 months the baby weighed 2 1/2 times its birth weight .How much does the baby weigh at 8 months
What work do i need to show?
Which of the following expressions is equivalent to 6m - 10?
2(3m + 5)
-2(5 - 3m)
2(3m - 10)
Find a formula for the number of patrons as a function of profit.
Which of the following will result in a rational answer?
A. multiplying pie by a fraction
B. adding the square root of a non perfect square to a whole number
C. adding the square root of a perfect square to pie
D. multiplying a fraction by a repeating decimal.
P.S. I asked a question 2 before this one, no one has answered it can someone do that?
Point P (3, -4) and its image have symmetry with respect to the origin. Which of the following points represents the image of point P?
answer choices (-3, 4) (3, 4) (4, 3)
Answer: -3,4
Step-by-step explanation:
Because it wants you to rotate th epoint 180 degrees arond the orgin of the coordinate plane which then gives you the -3,4 option as your answer.
Find the sample standard deviation. round to the nearest tenth. 15 42 53 7 9 12 14 28 47
Sam made $198 last week cutting grass. He worked for 18 hours. How much did he make per hour? He thinks he made $12 per hour. True False
divide:
198/18 = 11
he made $11 per hour
so it's False, he did not make $12 per hour
A jar contains 21 pennies (worth $0.01 each), 15 nickels (worth $0.05 each), 18 dimes (worth $0.10 each), and 32 quarters (worth $0.25). if a coin is drawn at random, what is the expected value of the draw?
A garage charged $248 in parts and $30 per hour in labor for work on a car. How many did the garage spend working on the car if the total bill was $572? Use a two step equation to model the scenario and then solve the question
The length of a rectangle is 3 meters less than 3 times the width. the perimeter is 42 meters. find the width.
The width of the rectangle will be 6 meters.
What is mean by Perimeter ?
The perimeter of any quadrilateral is the sum of all sides of a
quadrilateral .
Given that;
The length of a rectangle is 3 meters less than 3 times the width.
The perimeter of a rectangle = 42 meters.
Now,
Let the width of a rectangle = x meter
Then, By condition The length of a rectangle is 3 meters less than 3 times the width.
We get;
The length of the rectangle = ( 3x - 3 ) meters
Since,
The perimeter of a rectangle = 2 ( Length + Width )
Here, The perimeter of a rectangle = 42 meters.
Now, After substitute all the values we get;
The perimeter of a rectangle = 2 ( Length + Width )
The perimeter of a rectangle = 2 ( 3x - 3 + x)
42 = 2 ( 4x - 3)
42 = 2 (4x - 3)
Solve for x as,
Divide by 2;
21 = 4x - 3
Add 3 both side;
21 + 3 = 4x - 3 + 3
24 = 4x
Divide by 4, we get;
x = 24/4
x = 6
Thus, The width of a rectangle = 6 meters.
Therefore, The width of the rectangle will be 6 meters.
Learn more about the perimeter visit:
https://brainly.com/question/443376
#SPJ2
Dominick’s unpaid credit card balance was $2103.24. His APR is 14.4%.
What is his new balance after he makes one new transaction for $280?
Based on the information given the new balance is $2,408.48.
New balanceFirst step is to calculate the finance charge
Finance charge=2,103.24×(0.144÷12 months)
Finance charge=2,103.24×0.012
Finance charge=25.24
Second step is to calculate the New balance
New balance=2,103.24+25.24+280
New balance=$2,408.48
Inconclusion the new balance is $2,408.48.
Learn more about new balance here:https://brainly.com/question/25610363