Answer:
21
Step-by-step explanation:
Given that
The holes of golf is 18
The standard deviation of the score is 16.425 strokes
The sample mean is 5.947
And, there is 90% confidence
We need to find out the number of rounds
So,
At 90% confidence interval, the critical value is +/- 1.645
Margin of error = 5.947
Z_0.05 × SD/sqrt (n) = 5.947
1.645 × 16.425/sqrt (n) = 5.947
sqrt(n) = 1.645 × 16.425 ÷ 5.947
sqrt(n) = 4.54
= 21
A teacher has a box of 88 colored pencils. He gave 46 away. The teacher put the rest of the colored pencils into 7 equal groups
How many colored pencils are in each group?
Answer:
6 pencils in each group
Step-by-step explanation:
Total = 88
Gave away = 46
Balance = 88 - 46 = 42
Divided into 7 groups, means : 42/7 = 6
So each group has 6 pencils
Can someone help me please
Make congruent angles. Write down the ratios.
Answer:
Ratio=BG/RT=RA/BA=TA/AG
Step-by-step explanation:
Can yah help me with those two question please
:(
Solution 1 :-
Statement : corresponding angles in similar triangles must be congruent .
Answer : True
Solution 2 :-
Statement : The hypotenuse of a right angle triangle has to be opposite of 90 degree .
Answer : True
Reason : We know that the side opposite to largest angle in a triangle is largest . Since in a right angle triangle 90 degree is the largest angle and hypotenuse is the longest side therefore they must be opposite to each other .
Which matrix equation represents the system of equations?
[4x - 2y = -7
3y = 5
Therefore, the matrix equation represents the system of equations
4x - 2y = -7
0x + 3y = 5 is given by
[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].
How to write a system of linear equations in matrix form?Three easy steps must be taken in order to express any system of linear equations in matrix form:
1. First, create a single matrix with all the coefficients. An acronym for this is a coefficient matrix.
2. Multiply this matrix by the system setup variables in a different matrix. The variable matrix is another name for this.
3. In another matrix, place the solutions on the other side of the equal sign. The answer matrix is another name for this.
How to solve this problem?Given system of linear equations:
4x - 2y = -7
0x + 3y = 5
The coefficient matrix is [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right][/tex].
The variable matrix is [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex].
[ Since [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}4x-2y\\0x+3y\end{array}\right][/tex] ]
The answer matrix is [tex]\left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].
Therefore, the matrix equation represents the system of equations
4x - 2y = -7
0x + 3y = 5 is given by
[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex]. So, the last option is correct.
Learn more about matrix here -
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Researchers from a large community college in California are interested in understanding the demographics of students enrolled in their online classes. The researchers collected the following data for the 2014/2015 school year.
Male Female Total
Online Only 2,000 7,000 9,000
Online and in the class only 8,000 1,000 9,000
Total 10,000 8,000 18,000
What does the data suggest about the relationship between sex and enrollment?
a. Females are more likely to enroll in Online Only courses than males.
b. Females are more likely to enroll in Online and In Class courses than males
c. There are more females enrolled at the community college than males.
d. Females are equally likely as males to enroll in an Online Only course.
Answer:
a. Females are more likely to enroll in Online Only courses than males.
Step-by-step explanation:
From the data, we have that:
There are 9,000 students that are online only, of which 2,000 are male and 7,000 are female.
There are 9,000 students that are Online and in the class only, of which 8,000 are male and 1,000 are female.
In total, there are 18,000 students, of which 10,000 are male and 8,000 are female.
a. Females are more likely to enroll in Online Only courses than males.
True, 7,000 females compared to 2,000 males in online only courses. This option is the answer to this question.
b. Females are more likely to enroll in Online and In Class courses than males
False, in online and in the class courses, there are 8,000 males and 1,000 females, so females are less likely.
c. There are more females enrolled at the community college than males.
False, there are 10,000 males and 8,000 females.
d. Females are equally likely as males to enroll in an Online Only course.
False, there are 7,000 females compared to 2,000 males in online only courses, so they are more likely, and not equally likely.
Helppppppppppppppp meeeeeeeeee
Answer: the forth one
Step-by-step explanation:
WILL GIVE BRAINLIST
MATH
CONVERT EACH MEASUREMENT
25FT TO YARDS
SHOW STEPS ALL HOW YOU GOT THE ANSWER
Answer:
8.333... Yards.
Step-by-step explanation:
To convert feet to yards, divide the feet by 3.
[tex]\frac{25}{3} = \frac{25}{3}/8.333...[/tex]
To check work
Multiply 8.333... by 3.
8.333 · 3 = 24.999...
It Is Not Exactly 25 Because The 3 Is Infinite But It Is Enough To Prove Your Answer.
2(x + _) = 2x + 10 Using the distributive property, what number would go in the blank in order for the given statement to be correct?
Answer:
10
Step-by-step explanation:
2
Answer:
2(x + 5) = 2x + 10
Step-by-step explanation:
2(x + A) = 2x + 10
2x + 2A = 2x + 10
Equating constant terms on both sides :
2A = 10
A = 5
Therefore , 2(x + 5) = 2x + 10
Turkey costs $3.38 per pound. If you buy 2.5 pounds of turkey what is the cost of the turkey?
Answer: $8.45
Step-by-step explanation:
Help i dont know how to do this type of questions
Answer:
x = 28°
y = 23°
Step-by-step explanation:
5y - 4 + 3y = 180
solve for y
8y = 184
y = 23
3y and 2x + 13 are equal
solve for x now that we know y is 23.
3(23) = 2x + 13
69 = 2x + 13
56 = 2x
28 = x
Answer:
y=23 x=28
Step-by-step explanation:
5y-4 + 3y =180⁰
8y-4=180
8y=184
y=23
3y=2x+13
69=2x+13
-13 -13
56=2x
28=x
Hope this is helpful. good luck
10 points! If correct you get brainliest.
Which one's apply?
Answer:
The answer is C and E
Step-by-step explanation:
Five classmates want to know how many of the 2688 students in their school prefer pop music. They each randomly survey 64 students. The table shows the results.
Use the results from each classmate to make an inference about the number of students in the school who prefer pop music.
Based on Shannon's results, the number is __
students.
Based on Trey's results, the number is __
students.
Based on Robert's results, the number is __
students.
Based on Callie's results, the number is __
students.
Based on Lani's results, the number is __
students.
Question 2
Describe the variation of the five inferences. Which one would you use to describe the number of students at the school who prefer pop music? Explain.
The greatest is __
students. The least is __
students. The median of the data is __
. The mode of the data is __
. So, use the inference of __
students to describe the number of students at the school who prefer pop music.
Answer:
Question 1
Shannon: 882/2688
Trey: 1008/2688
Robert: 798/2688
Callie: 882/2688
Lani: 840/2688
Question 2
The greatest is 1008/2688 students.
The least is 798/2688 students.
The median of the data is 882/2688 students.
The mode of the data is 882/2688 students.
So, use the inference of 882/2688 students to describe the number of students at the school who prefer pop music.
Step-by-step explanation
Question 1
Shannon: Because 21/64 in Shannon's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.
Trey: Because 24/64 in Trey's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 24 gets us 1008/2688 who might prefer pop music in the entire school without surveying all of the students.
Robert: Because 19/64 in Robert's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 19 gets us 798/2688 who might prefer pop music in the entire school without surveying all of the students.
Callie: Because 21/64 in Callie's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.
Lani: Because 20/64 in Lani's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 20 gets us 840/2688 who might prefer pop music in the entire school without surveying all of the students.
Question 2
Using Shannon's or Callie's survey would best describe the number of students in the entire school because their individual results (21/64) is the average of all of the individual results of the 5 students. If you decide to use any of the other individual survey results, you will not get the closest answer to the actual amount of students who prefer pop music in the entire school.
Using the individual survey results to estimate the number of students who prefer pop music in the entire school:
The greatest was Trey's results, which estimated about 1008 out of 2688 students in the entire school who would prefer pop music.
The least was Robert's results, which estimated about 798 out of 2688 students in the entire school who would prefer pop music.
The median of the data was 882 out of 2688 students in the entire school who would prefer pop music, as shown in Shannon's and Callie's individual survey results.
To find the median, list the results least to greatest, then look at the number that is in the exact middle. If there is no middle, but instead two middle numbers, find the average of the two.
The mode of the data was Shannon's or Callie's results, which estimated about 882 out of 2688 students in the entire school who would prefer pop music.
To find the mode, look for the number or result that it repeated the most (Ex: the result of 21/64 students who preferred pop music was found twice compared to the other individual survey results which did not repeat more than once).
So, in the end using Shannon's or Callie's individual survey results to estimate the amount of students in the entire school who prefer pop music is the best way to do so.
Please comment if you think I made a mistake, misunderstood, or missed something.
I NEEED HELPPPPPPPPP!!!!!
Students were asked whether they walk, drive, or ride the bus to school. The results. by gender, are shown in the table.
Walk Drive Ride Bus
Male 30 60 10
Female 20 50 30
Select all the statements that illustrate conditional probability?
A. of all students, the probability of choosing a male.
B. Of the students who walk, the probability of choosing a female.
OC. of all students, the probability of choosing a male who walks.
D. Of the females. the probability of choosing one who rides the bus.
E. Of all students, the probability of choosing a student who drives.
Answer:
B. Of the students who walk, the probability of choosing a female.
D. Of the females, the probability of choosing one who rides the bus.
Step-by-step explanation:
Conditional probability is the chance of something happening provided that something else has previously occured (think dependent events).
For example, the probability of getting into college P(college) is Event A.
The probability of receiving dormitory housing P(housing) is Event B.
First, the person must get into college before they are even able to receive dormitory housing. Therefore, this is a situation of conditional probability. The "condition" of being accepted into the college (Event A) is necessary before the individual can attempt Event B, housing.
The key word in the question is "Of all the students." This means that from the first instance, you are only calculating one probability.
However, in B, it first singles out "all the students who walk."
Therefore p(walk) must be met before p(gender) can happen.
Same with D, it singles out "of the females."
Therefore p(gender) must be met before p(transportation) can happen.
C does have two categories, but since it is still out of the general draw pool "of all students," it is not conditional. No condition needs to be met first to choose a male who walks out of ALL students.
QUESTION IN PICTURE thx <3
Answer:
7 1/9
Step-by-step explanation:
because I know i'm right
Answer:
Answer in Improper fraction: 64/9
Answer is Mixed number: 7 1/9
In decimal form: 7.11111111111111111111111111111111111111 (Forever, you get the picture)
Step-by-step explanation:
Improper fraction form:
8/3*8/3= 64/9
Hope this helps!
5th grade work helpp
Answer:
C: 31
Step-by-step explanation:
15 x 15 = 225
16 x 16 = 256
256 - 225 = 31
Answer:
C) 31
Step-by-step explanation:
15 x 15 = 225
16 x 16 = 256
256 - 225 = 31
Please help!!!! I need this to pass my classs
Answer:
a. Maximum
b. (-1, 4)
c. -3, 1
d. x = -1
Step-by-step explanation:
a. There is a maximum value of the function (highest point) because the parabola opens downward.
b. The vertex is the turning point--the point where the maximum is.
c. The roots (or "zeros") are the values of x where the curve intersects the x-axis
d. The axis of symmetry is a vertical line which passes through the vertex.
Someoneeeee help I don’t get it
Answer:
the answer is -2,9 lollololl
1800=3×N
help asap plzzz
factorise 4a-6ab-18ac
Answer:
Step-by-step explanation:
4a-6ab-18ac
=2a(2-3b-9c)
The required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
What is factorisation?In mathematics, factorisation or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
The given equation is,
4a-6ab-18ac
So factorising each term we have,
4a = 2*2*a
6ab = 2*3*a*b
18ac = 2*3*3*a*c
Thus the equation becomes,
4a-6ab-18ac = 2*2*a - 2*3*a*b - 2*3*3*a*c
taking 2*a common we get,
4a-6ab-18ac = 2a(2 - 3b - 3*3*c)
or, 4a-6ab-18ac = 2a(2 - 3b - 9c)
which is the the required factorisation of the equation.
Thus, the required factorisation of the given equation is 4a-6ab-18ac = 2a(2 - 3b - 9c).
To learn more about factorisation:
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PLS HELP 30 POINTS
If the dimensions of the following cylinder are tripled, what factor will the volume change by?
81
27
3
9
Answer: 27
Step-by-step explanation:
PLZ HELP Which of the following is a true statement?
A. Total Liabilities − Total Assets = Net Worth
B. Total Assets − Total Liabilities = Net Worth
C. Total Assets + Total Liabilities = Net Worth
D. None of these are true.
Answer:
B
Step-by-step explanation: Net worth is the total assets minus total liabilities of an individual or entity.
Need help I really do pls my going to get a f and I don’t want to repeat
1. -2<2 2. -4> -5. -20<20. -7>-8. -10<-1. 50>-100
Evaluate f(x)= 4x-2 when x= -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If x = -2, then substitute it into the given equation}[/tex].
[tex]\large\textsf{f(x) = 4(-2) - 2}[/tex]
[tex]\large\textsf{y = 4(-2) - 2}[/tex]
[tex]\large\textsf{4(-2) = \boxed{\bf -8}}[/tex]
[tex]\large\textsf{y = -8 - 2}[/tex]
[tex]\large\textsf{-8 - 2 = \boxed{\bf -10}}[/tex]
[tex]\boxed{{\large\text{y = \bf -10}}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf y = -10}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\quad\quad\quad\quad \tt{f(x) = 4x - 2}[/tex]
[tex]\quad\quad\quad\quad \tt{f( - 2) = 4( - 2)- 2}[/tex]
[tex]\quad\quad\quad\quad \tt{f( - 2) = ( - 8)- 2}[/tex]
[tex]\quad\quad\quad\quad \tt{f( - 2) = - 10}[/tex]
Hence, the answer is -10.[tex]\quad\quad\quad\quad\boxed {\tt{\color{green}f( - 2) = - 10}}[/tex]
__________
#LetsStudy
What combination of transformations is shown below?
Answer:
translation then rotation
Identify each triangle based on angles. (Acute, Obtuse or Right)please I don’t understand this
Answer:
45
Step-by-step explanation:
Answer:
2. right
3.obtuse
hope this helps
have a good day :)
Step-by-step explanation:
Evaluate this expression
4cd
if
C = -4 and d = 3
Answer:
-48
Step-by-step explanation:
4(-4)(3)
-16(3)
-48
Answer:
4(-4) (3)
Step-by-step explanation:
put that in your calccalculator:)
Solve each problem. NO LINKS!!! PART 2.
9514 1404 393
Answer:
28. 480
29. 40,320
Step-by-step explanation:
28. The number of possible choices is the product of the numbers of choices for each component:
5×8×12 = 480 . . . . possible different systems
__
29. Regardless of where person A sits, the remaining B through I people can be seated in 8! = 40,320 different orders.
There are 40,320 possible seating arrangements.
I need the answer fast pls