Answer:
The probability of selecting 2 Democrats and 2 Republicans is 29.36%.
Step-by-step explanation:
Given that a city council consists of 7 democrats and 7 republicans, to determine, if a committee of 4 people is selected, the probability of selecting 2 Democrats and 2 Republicans must be performed the following calculation:
7/14 x 6/13 x 7/12 x 6/11 = X
0.5 x 0.46 x 0.58 x 0.54 = X
0.0734 = X
0.0734 x 100 = 7.34 x 4 = 29.36
Therefore, the probability of selecting 2 Democrats and 2 Republicans is 29.36%.
I appreciate if someone help me with this. is due today. Thanks
Answer:
Step-by-step explanation:
take 23 degree as reference angle
using tan rule
tan 23=opposite/adjacent
0.42=x/3.2
3.2*0.42=x
1.34=x
1.3=x
Answer:
x equals to about 1.36
Step-by-step explanation:
Okay so first of all list write out Sin Cos and Tan. SOH-CAH-TOA
Now lets see what we are given. For the reference angle we are given 23.
We are also given 3.2 which is the adjacent angle. And the angle opposite of the reference angle is x. So all in all we have <23, Adjacent length 3.2, opposite length x.
Now we see which one would fit for this. That would be Tan since it deals with adjacent and opposite angles.
Now lets write it out as an equation. tan(23)= x/3.2 | Okay now next to get x alone we move it to the right side. That would leave us with tan(23)*3.2 which equals to about 1.36 "1.35831941187". Remember to use degree and not radiant.
An image is also added.
Hope it helps.
What function is graphed below?
6
4
2.
2
-6
6
х
O y=-4x4
O y - 4x4
O y=-5x5
O y = 5x5
Answer:
6
Step-by-step explanation:
the function is a slated function a tree
factor the expression completely
8x^2-18
Step-by-step explanation:
8
2
−
1
8
8x^{2}-18
8x2−18
2
(
4
2
−
9
)
Answer:
2(2x - 3)(2x + 3).
Step-by-step explanation:
8x^2 - 18
= 2(4x^2 - 9)
= 2(2x - 3)(2x + 3).
Janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=8x2 where 8 is the length of one side of the square .if 8=3 feet what is the area of the tabletop?
Answer:
12
Step-by-step explanation:
because you replace 8 with 3
Three numbers have a mean of 12 and a mode of 9. What are the three numbers?
Answer:
The three numbers are : 9, 9 and 18
Step-by-step explanation:
Since the mean is 12 the sum of the three numbers must be 36. This is because:
(let the three numbers be x y and z)
(x+y+z)/3=12
(x+y+z)=12*3
(x+y+z)=36
And since the mode is 9 two of the numbers must be 9.
So to find the third number;
9+9+z=36
z=36-18
z=18
3. Use a table of values to solve f(x) = g(x), where f(x) = x2^ – 8x - 15 and g(x) = - 4x + 6. Show your table
and your work.
Answer:
Step-by-step explanation:
[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]
x = -3 , 7
Step-by-step explanation:f (x) = g(x)
x ² − 8x −15 = −4x + 6
x ² − 8x − 15 + 4x − 6 = 0
x ² −4x−21 = 0
x ² −7x + 3x −21 = 0
x ( x − 7 ) + 3( x − 7 ) = 0
( x + 3 ) ( x − 7 ) = 0
x = −3, 7
Surface area helpp needed
Answer:
144 un²
Step-by-step explanation:
Front Parallelogram = 5 x 11 = 55
Two triangles = 3 x 4 = 12
Back Parallelogram = 3 x 11 = 33
Bottom rectangle = 4 x 11 = 44
Total =
55 + 12 + 33 + 44 = 144
units = un²
144 un²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
There’s 2 arcade areas and 1 swimming pool. What is the arcade area to swimming pool ratio?.
Answer:
Yeah, the person above me is right. It's 2:1
Step-by-step explanation:
There are 2 arcade areas and 1 swimming pool. the arcade area to swimming pool ratio is 2: 1.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement.
Also the ratio is a unitless(no units) quantity.
There are 2 arcade areas and 1 swimming pool.
The arcade area to swimming pool ratio is 2: 1.
Learn more about ratios here:
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write all trigonometric values
Answer:
Step-by-step explanation:
[tex]\theta[/tex] 0° 30° 45° 60° 90°
[tex]Sin \theta[/tex] [tex]0[/tex] [tex]\frac{1}{2}[/tex] [tex]\frac{\sqrt{2}}{2}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]1[/tex]
[tex]Cos \theta[/tex] [tex]1[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]\frac{\sqrt{2} }{2}[/tex] [tex]\frac{1}{2}[/tex] [tex]0[/tex]
[tex]Tan \theta[/tex] [tex]0[/tex] [tex]\frac{1}{\sqrt{3} }[/tex] [tex]1[/tex] [tex]\sqrt{3}[/tex] ∞
Answer:
Step-by-step explanation:
sin A=opposite/hypotenuse
cos A=adjacent/hypotenuse
tan A=opposite/adjacent
cosec A=hypotenuse/opposite
sec A=hypotenuse/adjacent
tan A=adjacent/hypotenuse
Hope this helps u!!
5690 as standard form
Answer:
It already is in standard form btw
Step-by-step explanation:
Answer:
5690 is standard form
five thousand six hundred ninety is word form
5000+600+90 is expanded form
hope this helps
have a good day :)
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mira inserts a key into a keyhole to open the door. She turns the key through 156 one-degree angles.
What is the angle measure of the turn that the key made?
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Answer:
156° or 13π/15 radians
Step-by-step explanation:
156 times 1° is 156°.
In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.
1.If X and Y are two points on a number line, then the distance between them is represented by _______.
2.The segment addition postulate can only be used for the points that are _______.
Answers:
Either |x-y| or |y-x|collinear=======================
Explanations:
To find the distance, we subtract the two values. Absolute value is used to ensure the result isn't negative. Notice how something like 5-2 = 3 and 2-5 = -3, so we can say |5-2| = 3 and |2-5| = 3 so we don't get a negative distance. In general for x and y, the distance between them is either |x-y| or |y-x| as they represent the same distance. So on a number line, |x-y| = |y-x|.The segment addition postulate is the idea where we can break up a large segment into smaller pieces. We can then glue those pieces back together to get the larger segment again. This only works if all points are on the same line. If all points are on the same straight line, then we consider them to be collinear.Answer:
1. XY
2. collinear
Step-by-step explanation:
When labeling points on a number line we designate identify the points with Capital letters and the distance between is represented by putting the two letters together.
for question two the definition of collinear means=(of points) lying in the same straight line.
Hey does anyone know how to solve this need an answer quickly
Geometry need to find the lengths of DE , EF AND DF , respectively? ASAP
Answer:
option D
because every length is one fifth of the corresponding length of the bigger triangle
how can i solve the following
4x-3=2x+7
Answer:
x = 5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Add 3 and subtract 2x from both sides of the equation:
4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)
4x - 2x = 7 + 3
2x = 10
Next, isolate the x by dividing 2 from both sides of the equation:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
~
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
Subtract 2x from each side
4x-2x-3=2x-2x+7
2x -3 = 7
Add 3 to each side
2x-3+3=7+3
2x = 10
Divide by 2
2x/2 =10/2
x = 5
Please show process I WILL GIVE BRAINLY
Answer:
your image has the answer
Step-by-step explanation:
you can go type triangle calculator and type in everything
Three people are sitting on a bus. Belle is seated 4 meters directly behind Diego and 3 meters directly left of Reba. How far is Diego from Reba?
If 3 out of 10 mammalian cell cultures exposed to ultraviolet (UV) radiation developed chromosomal abnormalities while 9 out of 10 mammalian cell cultures developed chromosomal abnormalities when exposed to UV radiation plus a common NSAID (nonsteroidal anti-inflammatory drug).
a. What is the type of study design?
b. Which parameter (s) can be determined? Calculate it.
c. Explain the results.
Answer:
a) Observational Study
b) Risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk when exposed to a common NSAID is 3 out of 10 people
Step-by-step explanation:
A) This is observational study
b) The parameter determined here is the risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk of mammalian cell to develop chromosomal abnormalities when exposed to a common NSAID is 3 out of 10 people
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth if necessary.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]113.04\text{in}^3[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boexd{\text{The Volume of a Cone is...}}\\\\V=\pi r^2\frac{h}{3}\\\\\boxed{\text{Key:}}\\\\r - \text{radius}\\h- \text{height}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Volume:}}\\\\V = (3.14)6^2\frac{3}{3}\\\\V=(3.14)36\frac{3}{3}\\\\V=\boxed{113.04}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
II. We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds. (a) How many people would you expect to have consumed alcoholic beverages
Answer:
You would expect for 35 people to have consumed alcoholic beverages.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they consumed alcoholic beverages, or they did not. The probability of a person having consumed alcoholic beverage is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008.
This means that [tex]p = 0.7[/tex]
We now consider a random sample of fifty 18-20 year olds.
This means that [tex]n = 50[/tex]
How many people would you expect to have consumed alcoholic beverages
[tex]E(X) = np = 50*0.7 = 35[/tex]
You would expect for 35 people to have consumed alcoholic beverages.
Write an equation for the following problem,
"Ross decides to go ice skating with his friends.
The rink charges $8 to rent skates and $7.50 for
each hour. Write an equation to find the total
cost (C) if he skates for 3 hours.?"
Answer:
c= $8 +($7.50×3)
Step-by-step explanation:
Consider the following inductive arguments, and evaluate each one for inductive strength. To do this, begin by assuming that the argument's premises are true (even if they are false). Then ask yourself whether the conclusion would therefore probably be true as well. If the answer to this question is yes, then the argument is strong. If the conclusion is not likely to be true based upon the given premises, then the argument is weak.
Argument A:
Whales and dolphins are both mammals. So, because whales cannot breathe underwater but must come up to the ocean's surface to breathe, it is likely that dolphins must also swim to the surface to breathe air.
Argument A is :_______
a. strong
b. weak
Argument B:
Harry has always had an aptitude for history, geography, and social sciences, but he has always struggled with abstract concepts such as mathematics and physics. But Harry must take a college physics course to fulfill a general education requirement for his degree. Based on his academic track record, it is likely that Harry will be one of the top students in his college physics course.
Argument B is :_______
a. strong
b. weak
Argument C:
Out of a bag of 100 marbles, 97 red marbles were drawn in a row at random. Based on this sample, it is probably the case that the remaining 3 marbles are also red.
Argument C is :_______
a. strong
b. weak
Argument D:
The label on the side of a certain soda can indicates that the can was manufactured by Ball Corporation in their plant in Fairfield, California. Based on the information on the can's label, it is unlikely that the can was manufactured by any company other than Ball Corporation.
Argument D is :_______
a. strong
b. weak
Answer:
Argument A: a. strong
Argument B: b. weak
Argument C: a. strong
Argument D: a. Strong
Step-by-step explanation:
Dolphins and whales are mammals. They do not have gills like other fishes for breathing. They have to come to surface of water to breathe. The whales can store oxygen and can stay alive without breathing for more than an hour while dolphins can stay without breathing for few minutes. Harry has struggles with physics and mathematics therefore he cannot be top scorer in this subject based on his past track record.
The ______ are (is) used to determine the amount of money that an organization would save if it used a particular test in place of the test it currently uses to select employees.
Answer:
The correct answer is the "Brogden-Cronbach-Gleser formula".
Step-by-step explanation:
Brogden introduced the BCG approach towards the conclusion of the nineteenth century as well as developed it considerably mostly throughout a 1965 guidebook by Cronbach as well as Gleser.This model was used to determine the monetary value of another profit derived from either the usage of the content or the selection criterion beneath defined parameters.[tex]\int\limits^a_b {\frac{1}{xln(x)} } \, dx[/tex]
Step-by-step explanation:
Let u = ln x
du = dx/x
[tex]\int {\frac{1}{x \ln(x)} }\: dx = \int \frac{du}{u}[/tex]
[tex]= \ln |u| + k[/tex]
or
[tex]\int_b^a {\frac{1}{x \ln(x)} }\:dx= \ln |\ln|x|| _b^a[/tex]
[tex]=\ln|\ln(a)| - \ln|\ln(b)|[/tex]
Solve the inequality -3x+1 <7?
x > -2
x < -2
x > 2
Pls help meeeee
Answer:
x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_
Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. __________________
b. What are the speeds of the two cyclists? __________________
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Answer:
a) r + (r+3) = 68/4 . . . . equation to answer the question
b) r = 7, r+3 = 10 . . . miles per hour
Step-by-step explanation:
a. The combined speed of the two cyclists is found from the time it takes for them to close the distance between them. The faster cyclist is traveling at (r+3) miles per hour.
speed = distance/time
r + (r+3) = 68/4 . . . . an equation to answer the problem
__
b. Solving the above equation helps us answer the question
2r +3 = 17 . . . simplify
2r = 14 . . . . . subtract 3
r = 7 . . . . . . divide by 2
r+3 = 10
The speeds of the two cyclists are 7 miles per hour and 10 miles per hour.
for what value of a is x-3 a factor of x^3-4x^2+ax-2a
Answer:
2x
Step-by-step explanation:
because it's2 so two ok carRy on
The value of a is 9.
What is factor?
A factor of polynomial P(x) is any polynomial which divides evenly into P(x).
How to find the solution for a polynomial?For finding the factor of a polynomial we will perform following steps:
If f(x) is any polynomial then substitute f(x) = 0.Then factorize the given polynomial by splitting the middle term. Then solve for x.According to the given question.
We have a cubic polynomial [tex]x^{3} -4x^{2} +ax -2a[/tex]
Also, x - 3a is a factor of the given polynomial.
⇒ [tex]x - 3 = 0[/tex]
⇒[tex]x = 3[/tex]
⇒ 3 is the one solution of the given cubic polynomial.
If 3 is the one solution of the cubic polynomial then it must satisfy the equation (i).
So, substitute the value of x in the given polynomial.
[tex](3)^{3} -4(3)^{2} + a (3) - 2a = 0[/tex]
⇒[tex]27 -4(3)^{2} +a(3) -2a=0[/tex]
⇒[tex]27 - 36 + 3a - 2a= 0[/tex]
⇒[tex]-9 + a = 0[/tex]
⇒ [tex]a = 9[/tex]
Therefore, the value of a is 9.
Find out more information about factor and solution of polynomial here:
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One autumn morning, the temperature went up from -4°C to 5°C
a)By how many degrees did the temperature rise? During the afternoon, the
temperature then fell by seven degrees from 5OC.
b)What was the temperature at the end of the afternoon?
Please Help Me
And Win This Lottery.....
this please help me
9514 1404 393
Answer:
y = 2·3^x
Step-by-step explanation:
The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.
The multiplier is 2, and the base of the exponential factor is 3. That gives us ...
y = 2(3^x)
URGENT.. pls help NO links
Answer:
.83
Step-by-step explanation:
we want
(sports∩Senior)/Senior
we can see that sports∩senior= 25
and senior= 25+5+5=30
25/30= .83
