Answer:
900 teams
Step-by-step explanation:
The order in which the people are selected is not important(John and Josh is the same team as Josh and John), which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Two men(from a set of 6).
Two women(from a set of 5).
Two children(from a set of 4).
How many different teams can be organized consisting of two men, two women, and two children?
[tex]T = C_{6,2}*C_{5,2}*C_{4,2} = \frac{6!}{2!4!}*\frac{5!}{2!3!}*\frac{4!}{2!2!} = 15*10*6 = 900[/tex]
900 teams
Help! Will give brainliest if possible.
No links.
Answer:
B.8 cups
Step-by-step explanation:
2/3+1/3= 1 whole cup
So if 1 cup is 1 dozen then 8 cups is 8 dozen
PLEASE HELP
Jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children. Answer the following questions based on the data in this bar graph.
⦁ What percentage of children voted for the Action movie? Show your work. Round to the nearest percent if needed.
⦁ Which movie received 20% of the total votes? Show your work.
Answer:
• 25%
• Drama movie
Step-by-step explanation:
• Total number of children
= 16 +12 +18 +20 +14
= 80
Percentage of children that voted for action movie
[tex] = \frac{no. \: of \: children \: that \: voted \: for \: action \: movie}{total \: number \: of \: children} \times 100\%[/tex]
[tex] = \frac{20}{80} \times 100\%[/tex]
[tex] =\textbf{25\%}[/tex]
------------------------------------------------------------
• Total number of votes
= 30 +32 +36 +36 +26
= 160
20% of total votes
= 20% ×160
= 32 votes
Since Drama movie received 32 votes, it received 20% of the total votes.
sketch the graphs of y= sin x, y= sin 2x, and y=2 sin x. describe how the graphs are alike and how they are different
Answer:
Step-by-step explanation:
The graphs can be seen in the picture attached below where
y= sin x is the red wave
y= sin 2x is the blue wave
y=2 sin x is the green wave
Each graph is obviously a wave in shape but where they all differentiate is in the frequency and amplitude of the wave. Meaning how often a wave cycle repeats in the functional and how high and low the wave cycles actually get. That is where the difference takes place sinx has wider wave cycles than the other two. sin2x has the shortest wave cycles, almost twice for everyone red wave cycle. While 2sinx has the highest and lowest amplitude of all of the waves.
thric
b. The perimeter of a square room is 48m, how much square metre carpet is
required to cover it?
Answer:
144
Step-by-step explanation:
A square room has all sides the same length
the perimeter is the length of the sides (which are the same length) therefore dividing it by 4 to get the length of 1 side multiplied by itself will give us the area to be covered.
Jeff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft
Answer:
Step-by-step explanation:
eff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft
Answer:
The answer is B: 7.73 ft
Step-by-step explanation:
I was able to solve it by dividing 23.19 ft (Jeff's roof side length) by 3. BONUS: I got it right on the test! :D
Hope you like my answer!
Evaluate f(x) = 3x + 8 for x = 1.
-11
5
11
3
Answer:
11
Step-by-step explanation:
f(x)=3x+8
f(1)=3(1)+8
f(1)=3+8
f(1)=11
Answer:
The anwser is 11
Step-by-step explanation:
You just replace x with 1, and solve, so it would be 3(1) + 8, which is 11.
Can someone please tell me the steps and how to solve it?
Answer:
D
Step-by-step explanation:
D because you have to multiply 8 and 2 for area for that side, then multiply it by two, since there are two of those sides. C is the only one that shows this.
Can anyone help me out? Steps would be useful but not needed. Its Trig-Missing Sides.
Answer:
10.3
Step-by-step explanation:
Recall SOH, CAH, TOA
In this case we have the hypotonouse is given (the hyptonouse is the side that is opposite from the right angle) and we need to solve for the opposite
therefore we will use SOH
we have
sin(69)=x/11
11*sin(69)=x
x=10.269
which rounds to
10.3
Answer:
[tex] \displaystyle \: x= 10.3[/tex]
Step-by-step explanation:
we are given hypotenuse and [tex]\theta[/tex]
we want to figure out x (opposite)
remember that,
[tex] \displaystyle \: \sin( \theta) = \frac{opp}{hypo} [/tex]
here our [tex]\theta [/tex] is 69°
and hypo is 11 and opp is x
so substitute:
[tex] \displaystyle \: \sin( 69 ^{ \circ} ) = \frac{ x}{11} [/tex]
cross multiplication:
[tex] \displaystyle \: x= 11 \sin( 69 ^{ \circ} ) [/tex]
by using calculator:
[tex] \displaystyle \: x= 10.3[/tex]
A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with theâ drug, 20 subjects had a mean wake time of 90.7 min and a standard deviation of 43.7 min. Assume that the 20 sample values appear to be from a normally distributed population and construct a 98â% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Find the confidence interval estimate.
Answer:
67.9 min < μ < 113.5 min
Step-by-step explanation:
Calculation to determine the confidence interval estimate
First step is to find alpha (α/2)
α =1-0.98
α=0.02/2
α= 0.01
Second step is to determine ± zα/2
z-score of 1.0000 - 0.0100 = .9900 using normal distribution table
z-score = ± 2.33
Now Let determine the confidence interval estimate using this formula
X ± zα/2(σ/√n)
Where,
Confidence Interval (CI) = .98
X = 90.7
n = 20
σ = 43.7
Let plug in the formula
Confidence interval estimate = 90.7 ± 2.33 (43.7/√20)
Confidence interval estimate= 90.7 ± 22.76786775
Confidence interval estimate=90.7 - 22.76786775 < μ < 90.7 + 22.76786775
Confidence interval estimate= 67.9 min < μ < 113.5 min
Therefore the confidence interval estimate will be 67.9 min < μ < 113.5 min
Dominic has 1 1/2 cups of yogurt to make smoothies. Each smoothie uses cup
1 1/2 of
yogurt. How many smoothies can Dominic make with the yogurt?
Answer:
Dominic can only make one smoothie considering he only has one full cup of yogurt.
Step-by-step explanation:
1.5(yogurt he has)-1.0(yougurt needed)=.5(leftover yogurt)
Nina is buying fabric to make placemats. For every
4
4
placemats she makes she needs
5
5
square feet of fabric.
If Nina is making
5
5
placemats, how many square feet of fabric does she need?
Nina needs
Answer:
6.25 feet squared of fabric needed
Step-by-step explanation:
4:5 placemats:fabric
then
5:6.25
Jordan has 3 blue marbles and 8 red marbles. What is the ratio of blue marbles to red marbles?
Answer:
The ratio of blue to red marbles is 3 to 8.
Hope this helps :) have a good day!
parallel and perpendicular lines
Answer:
A. Slope = -³/2
B. y = -³/2x - 6
C. ³/2x + y = -6
Step-by-step explanation:
A. Slope of the line would be the negative reciprocal of the slope of 2x - 3y = 12, which is written in standard form. Rewrite in slope-intercept form, y = mx + b, where m = slope.
Thus:
2x - 3y = 12
-3y = -2x + 12
y = -2x/-3 + 12/-3
y = ⅔x - 4
The slope of 2x - 3y = 12 is therefore ⅔.
The slope of the line perpendicular to 2x - 3y = 12 would be the negative reciprocal of its slope, ⅔ which is:
-³/2
Therefore, the slope of the line perpendicular to 2x - 3y = 12 is -³/2
B. To find the equation of the line in slope-intercept form, first find the equation in point-slope form using the point given (-6, 3) and slope of the line, -³/2.
Substitute a = -6, b = 3, and m = -³/2 into y - b = m(x - a).
Thus:
y - 3 = -³/2(x - (-6))
y - 3 = -³/2(x + 6)
Rewrite in slope-intercept form, y = mx + b
Multiply both sides by 2
2(y - 3) = -3(x + 6)
2y - 6 = -3x - 18
2y = -3x - 18 + 6
2y = -3x - 12
y = -3x/2 - 12/2
y = -³/2x - 6
C. Rewrite y = -³/2x - 6 in standard form.
y = -³/2x - 6
³/2x + y = -6
The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day:
A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 40 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 50.
Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)
Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)
Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)
PART A: Two pieces of information that are included by the graph are the minimum value (20) and the maximum value (95). One piece of information that is not included in the graph is the number of students who surf the internet. (this one doesn't really need a step by step because it is just analyzing a graph)
PART B: The IQR is equal to 20. The IQR represents the mid-spread, or 50% of the data.
Step-By-Step:
To find the IQR, you need to subtract the first quartile from the third quartile. So to find the IQR we would need to subtract 60 (Q3) and 40 (Q1),
60-40 = 20
= 20.
20 is the IQR
PART C: If an outlier is present, it may affect the mean, but will not change the median or the mode.
Step-By-Step: An outlier is an abnormally large (or small) number in a given data set.
Best of luck,
Some 6th grader.
PART A: Two pieces of information that are included by the graph are the minimum value (20) and the maximum value (95). One piece of information that is not included in the graph is the number of students who surf the internet. (this one doesn't really need a step by step because it is just analyzing a graph)
PART B: The IQR is equal to 20. The IQR represents the mid-spread, or 50% of the data.
Step-By-Step:
To find the IQR, you need to subtract the first quartile from the third quartile. So to find the IQR we would need to subtract 60 (Q3) and 40 (Q1),
60-40 = 20
= 20.
20 is the IQR
PART C: If an outlier is present, it may affect the mean, but will not change the median or the mode.
Step-By-Step: An outlier is an abnormally large (or small) number in a given data set.
Best of luck,
Awesome (like me) Fellow sixth grader :)
The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an average selling price of $123,550. The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed? Compute the test value.
Answer:
The test value is z = -1.31.
Step-by-step explanation:
The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150.
This means that the null hypothesis is that the mean is this value, that is:
[tex]H_0: \mu = 125150[/tex]
The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed.
This means that at the alternate hypotehsis we test that the mean is lower than that value, that is:
[tex]H_a: \mu < 125150[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
125150 is tested at the null hypothesis:
This means that [tex]\mu = 125150[/tex]
Standard deviation of $7,350.
This means that [tex]\sigma = 7350[/tex]
A sample of 36 homes for sale in this subdivision had an average selling price of $123,550.
This means that [tex]n = 36, X = 123550[/tex]
Compute the test value.
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{123550 - 125150}{\frac{7350}{\sqrt{36}}}[/tex]
[tex]z = -1.31[/tex]
The test value is z = -1.31.
Find an equation of joint variation. Then solve for the missing value.
a varies jointly as b and c.
One set of values is a = 2.4, b = 0.6, and c = 0.8.
Find a when b = 0.4 and c = 0.4.
a = 0.8
a = 1.2
a = 0.032
a = 1.6
Click on the correct answer
Answer:
a = 0.8
Step-by-step explanation:
a varies jointly as b and c.
This means that a can be written as a constant k multiplied by b multiplied by c, that is:
[tex]a = kbc[/tex]
One set of values is a = 2.4, b = 0.6, and c = 0.8.
We use this to find the value of k:
[tex]2.4 = k(0.8)(0.6)[/tex]
[tex]0.48k = 2.4[/tex]
[tex]k = \frac{2.4}{0.48}[/tex]
[tex]k = 5[/tex]
So
[tex]a = 5bc[/tex]
Find a when b = 0.4 and c = 0.4.
[tex]a = 5bc = 5(0.4)(0.4) = 5(0.16) = 0.80[/tex]
The answer is a = 0.8.
PLSS HELP
Find the area of the triangle or quadrilateral
Answer:
Green = 13.5 ft²
Blue = 42 in²
Step-by-step explanation:
Green: 6+3=9
9÷2=4.5
4.5x3=13.5
Blue: 8+13=21
21÷ 2=10.5
10.5x4=42
5) What is the distance between the points (3,-5) and (5,6)?
A) 125
B) 11.2
C) 100
D) 10
Which expression is equivalent to 25x – 10y?
Answer:
5(5x-2y)
Step-by-step explanation:
To find the equivalent expression, you can perform the distributive property for each equation. for a, you multiply 5 by each term in the parentheses. you will get 25x-10y.
Hope this helps!
Simple word problem I think I'm just not smart
Timmy walks twice as fast as his dog Lassie. One day, Timmy walks 1.5 miles down the road, turns around, and returns home. Lassie leaves the house at the same time and follows him until they meet on Timmy's way back home. The dog then turns around and follows Timmy back home. How far did Lassie walk?
Answer:
1.5 miles
Step-by-step explanation:
If Timmy walks 1.5 down the road and back is 3 miles solution 1.5x2=3.
Lassie walks the same distance of 3 miles
what percentage of 4m is 20cm
Answer:
5%
Step-by-step explanation:
How many centimeters are in one meter? (Hint: 100)
How many centimeters are in four meters? (Hint: Multiply by 4)
What fraction expressions 20 centimeters as a portion of four meters (when the meters are expression in centimeters)?
After doing the division indicated by the fraction, what decimal do you get?
After moving the decimal point two places to the right, what percentage do you get?
Your answer should be somewhere between 3% and 15%.
Hope you found this helpful!!
THANK YOU!
∝ Sidhdi
5x + 2y = 12
5x – 2y = 28
Answer:
x=4 and y=-4
Step-by-step explanation:
5x+2y=12
5x-2y=28
adding both equations
10x=40
x=4
now put x=4 for y in any of equation
5(4)+2y=12
20+2y=12
2y=12-20
y=-8/2
y=-4
Answer:
x=4
y=-4
Step-by-step explanation:
you can do it by elimination method
Cos of 16/34
Sin 32/40
Tan 32/24
Answer:
Step-by-step explanation:
I assume this is in radians.
cos(16/34) = 0.8913017
sin(32/40) = 0.7173560909
tan(32/24)4.13172899083
HELP THIS IS DUE AT 1:30
Focus Question. (Respond to the following prompt in three to five sentences please.)
Describe the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty?
Answer:
The Ming Dynasty contributed significantly to the fields of culture, science, and technology. Moreover, textiles and mining industries also flourished during this time. Towards the end of the Ming Dynasty, a capitalist production system was gradually developing. The Ming Dynasty achievements resulted in many entrepreneurs readily seizing economic development opportunities building the great wall. One of the most significant Ming Dynasty achievements in engineering is the completion and repair of the Great Wall. Ming, The restoration of the Grand Canal was also an important achievement of this era. A wide range of machinery and equipment from which silk and cotton looms were made were invented during this era. Dynasty achievements also included significant contributions in the fields of philosophy, art, and literature. The Forbidden City, Beijing, was an essential architectural achievement that was also constructed during this era.
The famous white and blue porcelain of China originated in the era of the Ming Dynasty.
Step-by-step explanation:
The Ming Dynasty (1368-1644) was a period of great artistic and cultural achievements in China.
What is Ming dynasty?In China, the Ming dynasty was a time of great cultural and artistic flourishing, with significant contributions to literature, philosophy, and the arts.
Here are some of the Ming dynasty's achievements in the arts, philosophy, and literature:
Ming dynasty art was distinguished by a return to traditional Chinese painting techniques as well as a focus on naturalistic and realistic depictions of the world.Confucianism was the dominant philosophy during the Ming dynasty, and it played an important role in shaping society and culture.Literature: During the Ming dynasty, vernacular Chinese literature developed, which was more accessible to common people than classical Chinese language.The Ming dynasty is known for its magnificent architecture, which includes the Great Wall of China, the Forbidden City, and the Temple of Heaven.Thus, these are the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty.
For more details regarding Ming Dynasty, visit:
https://brainly.com/question/2507461
#SPJ3
what is the measure of angle KIT?
Answer:
80°
Step-by-step explanation:
In rhombus, opposite angles are equal. i.e <KET = <KIT
Triangle KET is isoceles, which means both parts of angle E are equal.
Angle E = 40 + 40
Angle E = 80
If angle E is 80 than Angle I is also 80.
What is the correct factorization of x² + 13x + 30?
a. (x + 1)(x + 30)
b. (x + 2)(x + 15)
c. (x + 3) (x + 10)
d. (x + 5) (x + 6)
Explanation:
Note how the 3 and 10 are two values such that
They add to 13, which is the middle coefficient, and,They multiply to 30, which is the last termWe can use the distribution rule like so to help confirm the answer
(x+3)(x+10)
y(x+10) ... replace x+3 with y
xy+10y .... distribute
x( y ) + 10( y )
x( x+3 ) + 10( x+3 ) .... plug in y = x+3
x^2+3x + 10x+30 .... distribute again twice more
x^2 + 13x + 30 ... combine like terms
Will give brainlst
Have a nice day
Answer:
D] 5.4 units
Step-by-step explanation:
explanation is in the picture.
can anyone help? been stumped for a while
Answer:
72
Step-by-step explanation:
162= 4x+8+6x-6
160=10x
x=16
4(16)+8== 72
through: (3,0), parallel to y = 2/3x+1
Answer:
y = 2/3x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = 2/3x + 1. Its slope is 2/3. A line parallel to this one will also have a slope of 2/3.
Plug this value (2/3) into your standard point-slope equation of y = mx + b.
y = 2/3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (3, 0). Plug in the x and y values into the x and y of the standard equation.
0 = 2/3(3) + b
To find b, multiply the slope and the input of x (3)
0 = 2 + b
Now, subtract 2 from both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 2/3x - 2
This equation is parallel to your given equation (y = 2/3x + 1) and contains point (3, 0)
Hope this helps!
plzz help for brianly
Answer:
342yd^2
Step-by-step explanation:
Hope this helps!
Answer:
342yd^2
Step-by-step explanation:
The way I find surface area is by laying out the box and finding the area of each square seperately and then adding them together.
First, I placed the 7 on the wing to the side because that is the width.
Next, I placed the 13 on the long side of the big box because that is the length.
Then, I placed the 4 on the small side of the big box because that is the width.
After that I just did the multiplication for each box.
2(7•13) + 2(7•4) + 2(13•4) = 342
You can apply this same strategy to any surface area problem like this. The format will change based on the shape but that's pretty much it. Hope this helped