It can save time from doing number crunching and analysis because it's an easy to see visual.
Any help to solve this one?
Answer:
Step-by-step explanation:
[tex]81^{1/2}[/tex]
[tex]3^4*{1/2}[/tex]
[tex]3^{4/2}[/tex]
[tex]3^{2}[/tex]
9
[tex]-16^{3/4}[/tex]
[tex](-2)^{4 *3/4}[/tex]
[tex](-2)^{12/4}[/tex]
[tex](-2)^{3}[/tex]
-8
a. We will attempt to answer the question "What is the average height of RCCC male students?" using data we collected the first week of this semester. Be sure to give explanations in context and include units when appropriate.
Describe the population of interest?
A sample of____(state the number) RCCC male students was taken. We found the sample mean____(symbol) to be Interpretation: In the sample of male RCCC students, the____"mean") height was approximately____inches.
The median is____Interpretation (use the one for mean as a guide):
The mode is____Interpretation (use the one for mean as a guide):
b. We know the measures of central tendency don't tell us the whole story, so we then investigated the measures of variation as well. We found that the heights had a range of_____with a standard deviation____(symbol) of_____(2 decimal places) and a variance_____(symbol) of (2 decimal places).
Height (inches) Note: There are 31 male heights.
1 70
2 70
3 70
4 70
5 71
6 64
7 64
8 65
9 65
10 66
11 66
12 67
13 67
14 68
15 68
16 68
17 69
18 72
19 72
20 72
21 72
22 73
23 73
24 73
25 73
26 73
27 73
28 74
29 75
30 75
31 75
32 75
70 70 70 70 71 64 64 65 65 66 66 67 67 68 68 68 69 72 72 72 72 73 73 73 73 73 73 74 75 75 75 22
The population of interest: Male RCCC students.
Sample size: 31.
The sample mean: 69.68 inches.
Median: 69 inches.
Mode: 70 inches.
Range: 11 inches.
Standard deviation: 3.32 (rounded to 2 decimal places).
Variance: 11.02 (rounded to 2 decimal places).
We have,
Mean:
To find the mean, we sum up all the heights and divide by the total number of data points (31 in this case):
Mean = (70 + 70 + 70 + ... + 75) / 31
Mean ≈ 69.68 inches
Median:
The median represents the middle value in the dataset when arranged in ascending order. Since the dataset has an odd number of values (31), the median will be the value in the middle position when ordered:
Median = 69 inches
Mode:
The mode represents the value(s) that occur most frequently in the dataset. In this case, the mode is the height that appears most often:
Mode = 70 inches
Range:
The range is calculated by subtracting the minimum value from the maximum value in the dataset:
Range = Maximum height - Minimum height
Range = 75 - 64 = 11 inches
Standard Deviation (σ):
To find the standard deviation, we can use the formula that involves finding the difference between each value and the mean, squaring those differences, averaging them, and taking the square root:
Standard Deviation (σ) ≈ 3.32 (rounded to 2 decimal places)
Variance (σ²):
The variance is the square of the standard deviation.
We can square the value of the standard deviation to find the variance:
Variance (σ²) ≈ 11.02 (rounded to 2 decimal places)
The height dataset (in inches) for the 31 male RCCC students is as follows:
1 70
2 70
3 70
4 70
5 71
6 64
7 64
8 65
9 65
10 66
11 66
12 67
13 67
14 68
15 68
16 68
17 69
18 72
19 72
20 72
21 72
22 73
23 73
24 73
25 73
26 73
27 73
28 74
29 75
30 75
31 75
32 75
Thus,
The population of interest: Male RCCC students.
Sample size: 31.
The sample mean: 69.68 inches.
Median: 69 inches.
Mode: 70 inches.
Range: 11 inches.
Standard deviation: 3.32 (rounded to 2 decimal places).
Variance: 11.02 (rounded to 2 decimal places).
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Find the solution(s) for x in the equation below.
x^2 - 25 = 0
A. x = -5
В. no solutions
C. x = 5
D. x = 5; x = -5
Answer:
D. x = 5; x = -5
Step-by-step explanation:
x^2 - 25 = 0
Add 25 to each side
x^2 - 25+25 = 0+25
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = ±5
Plz help me solve this
The total cost of a truck rental, y, for x days, can be modeled by y=24x+39. What is the rate of change for this function?
Answer:
24 per day
Step-by-step explanation:
'x' = days, so since 24 is with x, the rate of change is 24
Which graph represents y-1 = 2(x - 2)?
Answer:
The second graph
Step-by-step explanation:
This is because as you can see the equatin they're using is point slope form (y-y1=m(x-x1)) and the m stands for slope. the slope in the equation you gave us is 2 or a rise of 2 and a run of 1 (2/1) and the frist graph has a slope of 3/1
In a certain year, 86% of all Caucasians in the U.S., 77% of all African-Americans, 77% of all Hispanics, and 84% of residents not classified into one of these groups used the Internet for e-mail. At that time, the U.S. population was 64% Caucasian, 11% African-American, and 10% Hispanic. What percentage of U.S. residents who used the Internet for e-mail were Hispanic
Answer:
Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%
Step-by-step explanation:
We are given that
Population was Caucasian=64%
Population was African-American=11%
Population was Hispanic=10%
Let the population of U.S=10000
Now,
Population was Caucasian=[tex]\frac{64}{100}\times10000=6400[/tex]
Population was African-American=[tex]\frac{11}{100}\times 10000=1100[/tex]
Population was Hispanic=[tex]\frac{10}{100}\times 10000=1000[/tex]
Population of others=10000-(6400+1100+1000)=1500
Population of Caucasians used the Internet for e-mail=86% of 6400
Population of Caucasians used the Internet for e-mail=[tex]\frac{86}{100}\times 6400[/tex]
Population of Caucasians used the Internet for e-mail=5504
Population of African-American used the Internet for e-mail=77% of 1100
Population of African-American used the Internet for e-mail=[tex]\frac{77}{100}\times 1100=847[/tex]
Population of Hispanics used the Internet for e-mail=77% of 1000
Population of Hispanics used the Internet for e-mail=[tex]\frac{77}{100}\times 1000=770[/tex]
Population of others used the Internet for e-mail=84% of 1500
Population of others used the Internet for e-mail=[tex]\frac{84}{100}\times 1500=1260[/tex]
Total population used the Internet for e-mail=5504+847+770+1260
Total population used the Internet for e-mail=8381
Percentage of U.S resident who used the Internet for e-mail were Hispanic
=[tex]\frac{Population \;of \;Hispanics \;used \;the \;Internet \;for \;e-mail}{total\;population\; used \;the \;Internet \;for\; e-mail}\times 100[/tex]
Percentage of U.S resident who used the Internet for e-mail were Hispanic=[tex]\frac{770}{8381}\times 100[/tex]
Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%
If the number of orders at a production center this month is a Geom(0.7) random variable, find the probability that we'll have at most 3 orders.
Answer: 0.973
Step-by-step explanation:
The probability mass function of geometric distribution is
[tex]f(x)=(1-p)^{x-1}p,\ \ \ x=1,2,3,...[/tex], p= probability of success on a trial.
As per given, we have
p=0.7
The probability that we'll have at most 3 orders [tex]P(X\leq3)=P(x=1)+P(x=2)+P(x=3)[/tex]
[tex]=(1-0.7)^{1-1}(0.7)+(1-0.7)^{2-1}(0.7)+(1-0.7)^{3-1}(0.7)\\\\=0.7+0.21+0.063\\\\=0.973[/tex]
hence, the required probability = 0.973
The probability that we'll have at most 3 orders will be "0.973".
According to the question,
→ [tex]x \sim Geometric (p)[/tex]
here,
p = 0.7
then,
→ [tex]P(X=x) = (1-p)^{x-1}\times p[/tex]
By putting the given values, we get
[tex]= (1-0.7)^{x-1}\times 0.7[/tex]
hence,
The probability that we'll have at most 3 orders will be:
→ [tex]P(X \leq 3)=P(X=1)+P(X=2)+P(X=3)[/tex]
[tex]=0.7+0.21+0.063[/tex]
[tex]=0.973[/tex]
Thus the above response is correct.
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This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.
Answer:
334.4 m²
Step-by-step explanation:
The formula for the area of a sector is given as:
1/2 × r² × θ
Where θ = Central angle
Area of a Circle = 700 m²
The formula for the area of a circle = πr²
r = Radius of a circle
r² = Area / π
r = √Area / π
r = √700/π
r = 14.927053304 m
Approximately, r = 14.93 m
Therefore, the area of the sector
= 1/2 × r² × θ
= 1/2 × 14.93² × 3 rad
= 334.35735 m²
Approximately, Area of the sector = 334.4 m²
Find the value of x. Round to the nearest 10th
Answer:
44.94
Step-by-step explanation:
Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .
What is the length of GQ¯¯¯¯¯?
Answer:
[tex]GQ =25[/tex] --- GoTV
Step-by-step explanation:
Given
[tex]GQ = 2x + 3[/tex]
[tex]GH= 5x - 5[/tex]
Required
Find GQ
Since Q is the midpoint, then:
[tex]GH = 2 * GQ[/tex]
This gives:
[tex]5x - 5 = 2[2x+3][/tex]
Open bracket
[tex]5x - 5 = 4x+6[/tex]
Collect like terms
[tex]5x - 4x = 5+6[/tex]
[tex]x =11[/tex]
We have:
[tex]GQ =2x+3[/tex]
This gives:
[tex]GQ =2*11+3[/tex]
[tex]GQ =25[/tex]
Answer this guys please
[tex]\longrightarrow{\green{A.\:-8}}[/tex] ✔
Step-by-step explanation:
[tex]f(x )= - {x}^{2} + 1[/tex]
Plugging in the value "[tex]x\:=\:-3[/tex]" in the above expression, we have
[tex]f( - 3) = - ({ - 3})^{2} + 1 \\ \\ = - ( - 3 \times - 3) + 1 \\ \\ = - (9) + 1 \\ \\ = - 9 + 1 \\ \\ = - 8[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
[tex] \quad \quad \quad \quad \tt{f(x) = { - x}^{2} + 1} \: \: when \: \: x = - 3[/tex]
Let's try![tex] \quad \quad \quad \quad \tt{ ⟶f(x) = { - x}^{2} + 1}[/tex]
[tex] \quad \quad \quad \quad \tt{⟶f(-3) = {- (-3)}^{2} + 1}[/tex]
[tex] \quad \quad \quad \quad \tt{⟶ f( - 3) = { - (9) + 1}}[/tex]
[tex]\quad \quad \quad \quad \tt{⟶ f( - 3) = { - 9 + 1}}[/tex]
[tex]\quad \quad \quad \quad \tt{ ⟶f( - 3) = { -8}}[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \boxed{\tt{ \color{green}f( - 3) = { - 8}}}[/tex]
_________
#LetsStudy
There are 6 chef assistants and 2 servers. How many staff are working there?
Answer: 8
Step-by-step explanation:
are you in elementary school
Answer:
8 staff
Step-by-step explanation:
6 +2 = 8 There are 8 staff working there.
If this is done a different way explain or lmk? Hope you are having a wonderful day!! Of not it'll get better I promisee! <33 :))
A 12 sided die is rolled. Find the probability of rolling and even number
Answer:
0.5
Step-by-step explanation:
Wanted outcome / possible outcomes = 0.5 in this case.
What is the vertex of the absolute value function below?
Answer:
(-3,2)
Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0
GIVING OUT BRAINLIEST HELP ME PLSS !!
Answer:
C) 5.66
Step-by-step explanation:
For a 45-45-90 triangle, the length of each leg length (not including the hypotenuse) is congruent to each other. If 8=y√2, then y=8/√2=4√2=5.66
Answer:
5.66
Step-by-step explanation:
take 45 degree as reference angle
using cos rule
cos 45 =adjacent /hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] =y/8
[tex]\frac{1}{\sqrt{2} } *8=y[/tex]
[tex]\frac{8}{\sqrt{2} }=y[/tex]
[tex]4\sqrt{2} =y[/tex]
5.66=y
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for X and Y in the rectangle.
Thank you!m
Y = 20
X = 70
We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.
its my final, please help!!!!!!!!!!
Answer:
both apply
Step-by-step explanation:
i guessed just do it
I really need help please
Answer:
11
Step-by-step explanation:
3/7*14=6
5/8*8=5
6+5=11
What is the slope of the line shown below?
10
O A. 2
5
(3,6)
OB. 4
O c. -4
-5
10
15
5
(1,-2)
-5
O D. 2
-10
Answer:
B
Step-by-step explanation:
Slope Formula
6 - (-2) / 3 - 1
8 / 2 = 4
The slope of the graph is 4.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The coordinates from the graph are:
(1, -2), and (3, 6)
Now,
Slope.
= (6 -(-2)) / (3 - 1)
= (6 + 2) / 2
= 8/2
= 4
Thus,
The slope of the graph is 4.
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pls help fast, appreciated
Answer:
x = 6.9
Step-by-step explanation:
[tex]\frac{sin(90)}{12} = \frac{sin(35)}{x} \\\\x = 6.9[/tex]solve for x
Three men and seven women have been shortlisted for the post of HR Manager. What is the probability of a man getting the job?
Answer:
3/10.
Step-by-step explanation:
The 3 men will be on the numerator, to signify they're the group we're focusing on.
Then you add all of the people together (7 + 3 = 10) and put that on the denominator.
therefore, you get 3/10.
The probability of a man getting the job for the post of HR Manager is 3/10.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
We know, The ratio of favorable events to unfavorable events for a given event is known as the odds in favor.
Given, Three men and seven women have been shortlisted for the post of HR Manager.
Therefore, The probability of a man getting the job is,
= (3/(3 + 7)).
= 3/10.
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what is 1 6/9 +5 9/7
[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + q) / (8 + q) = 0.60
Solve for q :
3.2 + q = 0.60 (8 + q)
3.2 + q = 4.8 + 0.6q
0.4q = 1.6
q = 4
Name this triangle by its sides and angles. This is a(n) ____________________ triangle.
a triangle with one right angle and three non-congruent sides
right triangle
Hope this helps! :)
4) A piece of hematite contains 70%
iron. If the hematite weighed 60g,
how much iron would there be?
6) A survey of 250 trees in a small
Answer:
42g
Step-by-step explanation:
70% of 60 = 42
El opuesto y el semejante de 8xy
Answer:
No entiendo
Step-by-step explanation:
The manager of a local car dealership wants to conduct a customer satisfaction survey. Which group of people should make up a sample of the population?
A. sales people in the dealership
B. mechanics who work at the dealership
C. people who bought cars from the dealership
D. prospective buyers who visit the dealership
Answer:
Step-by-step explanation:
A customer satisfaction survey refers to a questionnaire that's designed by a company in order for businesses to know what customers think about their products.
Since the manager of a local car dealership wants to conduct a customer satisfaction survey, then the group of people should make up a sample of the population will be the people who bought cars from the dealership
Answer:
c
Step-by-step explanation:
write 0.824 as a fraction in the simplest form
The volume of a sphere is 904.32 mm3. What is the approximate volume of a cone that has the same height and a circular base with the same diameter? Use 3.14 for π and round to the nearest hundredth.
Answer:
[tex]V_c=452.16\ mm^3[/tex]
Step-by-step explanation:
Given that,
The volume of a sphere is 904.32 mm³.
The volume of a cone that has the same height and circular base with the same diameter is:
[tex]V_c=\dfrac{1}{3}\pi r^2 \times 2r=\dfrac{2}{3}\pi r^3[/tex]
The volume of a sphere with the same radius is:
[tex]V_s=\dfrac{4}{3}\pi r^3=2\times \dfrac{2}{3}\pi r^3[/tex]
So, the volume of sphere is :
[tex]V_c=\dfrac{V_s}{2}\\\\V_c=\dfrac{904.32 }{2}\\\\V_c=452.16\ mm^3[/tex]
So, the volume of the cone is [tex]452.16\ mm^3[/tex].
