Answer: The median value of data set B is -5.5, which is less than the median value of 3.1 in dataset A.
Step-by-step explanation:
Order the dataset from least to greatest:
-38 → -13 → -9 → -2 → 14 → 28
Then find the values that lies in the middle:
-38 → -13 → -9 → -2 → 14 → 28
Since there are 2 values, find the average of those 2 values:
[tex]\frac{-9+(-2)}{2} =\frac{-11}{2} =-5.5[/tex]
The median value = -5.5.
The median value of data set B is -5.5, which is less than the median value of 3.1 in dataset A.
Find m<1. Please answer by tomrrow
Answer:
59
Step-by-step explanation:
Just get the supplement of 121.
So angle 1 is 180-121 = 59 degrees
Given that Q(x)=2x^2 +5x-3 find and simplify Q(a+h)-Q(a-h)
Step-by-step explanation:
here is the answer. Feel free to ask for more.
-2,6,-18,54, what is the common ratio of the sequence
Answer:
2
Step-by-step explanation:
Answer:
Common Ratio=-3
Step-by-step explanation:
To find any common ratio in a sequence, always take the second number in the sequence and divide it by the first number. However, you must be careful because the common ratio should only be negative if the values in the sequence are alternating between negative and positive. Therefore, if the sequence of numbers is simply decreasing in value, this does not mean that the common ratio is negative. The common ratio would still be positive. If the sequence is decreasing in value, this means that the common ratio would be a fraction or a decimal less than one.
what is equivalent to x-2(3x-1)=3x
Answer:
1/4 = x
Step-by-step explanation:
x - 2( 3x - 1 ) = 3x
Step 1 :- Distribute 2
x - 2 × 3x - 2 × 1 = 3x
x - 6x + 2 = 3x
Step 2:- Combine like terms
-5x + 2 = 3x
Step 3 :- Add 5x to both sides
-5x + 5x + 2 = 3x + 5x
2 = 8x
Step 4 :- Divide both side by 8
2/8 = 8x / 8
1/4 = x
Can someone help me out here please? I do not know how to solve this problem nor where to start?
Answer:
200 test tubes will fill the container
Step-by-step explanation:
Hi there!
We need to find out how many 5 milliliter tubes will fill a 1 liter container
First, let's convert everything to the same unit, as the tubes and the container are in different units.
Let's do milliliters, as those are smaller than liters and we will avoid having decimals.
there are 1,000 milliliters in a liter (the unit prefix "milli-" means "thousand")
Let's say the number of test tubes needed to fill the container is x
As each tube has 5 milliliters of water, 5x milliliters will equal 1,000 milliliters (1 liter)
as an equation, that's
5x=1,000
divide both sides by 5
x=200
So that means 200 test tubes will fill the container
Hope this helps! :)
Answer:
Here is how to start
Step-by-step explanation: 7 2 13 42
1 milliliter is one one thousands of a liter 1 milliliter = 0.001 liter
1000 milliliter is equal to 1 liter
How many 5 milliliter test tubes are in 1 liter?
1000 milliliter / 5 milliliter per test tube = ________ test tubes
At one point in history, the NBA finals required that one of the two teams win at least three of five games in order to win the Championship. If one team wins the first two games, what is the probability that the same team wins the Championship, assuming that the two teams are well matched and each team is equally likely to win each game
Answer:
50% i believe
Step-by-step explanation:
because in every scenario theres 2 teams and if they are well matched it be half and half on every game assuming they're the same level of comp
Please help with problem
9514 1404 393
Answer:
∠CAE ≈ 16.7°DF ≈ 5.3Step-by-step explanation:
a) Angle CAE can be found using the tangent relation.
tan(∠CAE) = CE/AE
tan(∠CAE) = 6/20
∠CAE = arctan(6/20) ≈ 16.7°
__
b. The length of DF can be found using the law of cosines.
DF² = FA² +DA² -2·FA·DA·cos(A)
DF² = 14² +10² -2·14·10·cos(16.7°) ≈ 27.8086
DF ≈ √27.8086
DF = 5.3
Find x. Simplify completely.
16
25
X =[?]
Answer:
20
Step-by-step explanation:
a)x^2+16^2=a^2
b)x^2+25^2=b^2
c)a^2+b^2=(16+25)^2
a+b)2x^2+25^2+16^2=41^2=a^2+b^2
2x^2=800
x=20
Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
Answer:
n = 4 is 10
hope it helps and have a good day
What is equal to 30- 6v - 13w
consider this equation sin(theta) = -4 square root of 29/29 if theta is an angle in quadrant IV what is the value of cos (theta)
Answer:
[tex]\cos(\theta)= \frac{\sqrt{377}}{29}[/tex]
Step-by-step explanation:
Given
[tex]\sin(\theta) = -\frac{4}{\sqrt{29}}[/tex] -- the correct expression
Required
[tex]\cos(\theta)[/tex]
We know that:
[tex]\sin^2(\theta) + \cos^2(\theta)= 1[/tex]
Make [tex]\cos^2(\theta)[/tex] the subject
[tex]\cos^2(\theta)= 1 - \sin^2(\theta)[/tex]
Substitute: [tex]\sin(\theta) = -\frac{4}{\sqrt{29}}[/tex]
[tex]\cos^2(\theta)= 1 - (-\frac{4}{\sqrt{29}})^2[/tex]
Evaluate all squares
[tex]\cos^2(\theta)= 1 - (\frac{16}{29})[/tex]
Take LCM
[tex]\cos^2(\theta)= \frac{29 - 16}{29}[/tex]
[tex]\cos^2(\theta)= \frac{13}{29}[/tex]
Take square roots of both sides
[tex]\cos(\theta)= \±\sqrt{\frac{13}{29}}[/tex]
cosine is positive in the 4th quadrant;
So:
[tex]\cos(\theta)= \sqrt{\frac{13}{29}}[/tex]
Split
[tex]\cos(\theta)= \frac{\sqrt{13}}{\sqrt{29}}[/tex]
Rationalize
[tex]\cos(\theta)= \frac{\sqrt{13}}{\sqrt{29}} * \frac{\sqrt{29}}{\sqrt{29}}[/tex]
[tex]\cos(\theta)= \frac{\sqrt{13*29}}{29}[/tex]
[tex]\cos(\theta)= \frac{\sqrt{377}}{29}[/tex]
Which expression has a value of 15 when it equals
2
49-57
3--5
61-28
28
19
Answer:
it is 61-28 but I not sure u can scan for any application to make sure u get it ur answer thx for
amy shoots a 100 arrows at a target each arrow with a probability 0.2 what is the probability that at most one of her first 10 arrows hits the target
Answer:
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
Step-by-step explanation:
For each shot, there are only two possible outcomes. Either they hit the target, or they do not. The probability of a shot hitting the target is independent of any other shot, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
Each arrow with a probability 0.2
This means that [tex]p = 0.2[/tex]
First 10 arrows
This means that [tex]n = 10[/tex]
What is the probability that at most one of her first 10 arrows hits the target?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]
[tex]P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1074 + 0.2684 = 0.3758[/tex]
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
What is the value of x if x/ 3 + 1 = -2 ?
Simultaneous equations 5x-4y=19
X+2y=8
Answer:
x=5
y=3/2
Step-by-step explanation:
Take it or leave it, that's what the computer said.
What two methods are the best choices to factor this expression?
18x2 − 8
Answer:
18x2 is 36 but you have to minus it so the answer is 28.
Give at least four different symbols that have been used to represent specific statistical measures. Describe what measure each represents.
can you show a picture of the symbols
Which proportion resulted in the equation 3a = 7b?
Hello!
3a = 7b =>
=> 3 × a = 7 × b =>
=> a/b = 7/3
Good luck! :)
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
12
Step-by-step explanation:
10 - 1/2 x = 12-4/3x
60 - 3x = 72-2x
-12 = - x
What is the appropriate measure of angle B?
Answer:
36.87
Step-by-step explanation:
sin(b)/12 = .05
arcsin(.6) = 36.87
The function f(x) is shown in this graph. The function g(x) = -7x - 1. Compare the slopes.
Answer:
D
Step-by-step explanation:
Slope of the first line = (1-3)/1 = -2
Suppose z varies directly with x and inversely with the square of y. If z = 16 when x = 4 and y = 1 , what is z when x = 8 and y = 9 ?
Answer:
z = 3.6
Step-by-step explanation:
Given that,
z varies directly with x and inversely with the square of y. We can write it as :
[tex]z\propto \dfrac{x}{y}\\\\z=\dfrac{kx}{y}[/tex]
Where
k is constant
Put z = 16 when x = 4 and y = 1
[tex]16=\dfrac{k\times 4}{1}\\\\k=4[/tex]
Now put k = 4, x = 8 and y = 9
[tex]z=\dfrac{4\times 8}{9}\\\\z=3.6[/tex]
So, the value of z is equal to 3.6.
A given population proportion is .25. What is the probability of getting each of the following sample proportions
This question is incomplete, the complete question is;
A given population proportion is .25. What is the probability of getting each of the following sample proportions
a) n = 110 and = p^ ≤ 0.21, prob = ?
b) n = 33 and p^ > 0.24, prob = ?
Round all z values to 2 decimal places. Round all intermediate calculation and answers to 4 decimal places.)
Answer:
a) the probability of getting the sample proportion is 0.1660
b) the probability of getting the sample proportion is 0.5517
Step-by-step explanation:
Given the data in the questions
a)
population proportion = 0.25
q = 1 - p = 1 - 0.25 = 0.75
sample size n = 110
mean = μ = 0.25
S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413
Now, P( p^ ≤ 0.21 )
= P[ (( p^ - μ ) /S.D) < (( 0.21 - μ ) / S.D)
= P[ Z < ( 0.21 - 0.25 ) / 0.0413)
= P[ Z < -0.04 / 0.0413]
= P[ Z < -0.97 ]
from z-score table
P( X ≤ 0.21 ) = 0.1660
Therefore, the probability of getting the sample proportion is 0.1660
b)
population proportion = 0.25
q = 1 - p = 1 - 0.25 = 0.75
sample size n = 33
mean = μ = 0.25
S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754
Now, P( p^ > 0.24 )
= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)
= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )
= P[ Z > -0.01 / 0.0754 ]
= P[ Z > -0.13 ]
= 1 - P[ Z < -0.13 ]
from z-score table
{P[ Z < -0.13 ] = 0.4483}
1 - 0.4483
P( p^ > 0.24 ) = 0.5517
Therefore, the probability of getting the sample proportion is 0.5517
Work out the surface area of this sphere.
Give your answer to 1 decimal place.
Spheres
Surface area =
4tr?
6 cm
Answer:
452.2 cm
Step-by-step explanation:
A = 4πr²
A = 4 (3.14) (6)²
A = 4 (3.14) (36)
A = 452.16
A = 452.2 cm (nearest tenth)
Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6
Answer:
[tex]{ \tt{2x + 4y = 8 - - - (a)}} \\ { \tt{x = 3y - 6 - - - (b)}} [/tex]
Substitute for x in equation (a) :
[tex]{ \tt{2(3y - 6) + 4y = 8}} \\ { \tt{6y - 12 + 4y = 8}} \\ { \tt{10y = 20}} \\ y = 2[/tex]
Substitute for y in equation (b) :
[tex]{ \tt{x = (3 \times 2) - 6}} \\ x = 0[/tex]
2x+4y =8
x=3y-6 ——> x–3y=–6
x–3y = – 6 ] ×(–2) ——> –2x +6y=12
2x+4y=8
–2x+6y =12
__o_o____
0+10y=20 —> 10y= 20 —> y= 20/10 —> y= 2
2x+4y=8 —> 2x + 4(2) = 8 —> 2x + 8=8 —> 2x = 0 —> x=0
(x,y) —> (0,2)
slove the following systems of equations using any method. y= 3x + 7 , y= x- 9 , 3x- y= 1 , 7x + 2y = 37.
y=3× + 7 , y=×- 9 , 3×- 9 , 3×- y= 1 , 7× + 2y = 37.
The sum of two numbers is 125. Their difference is 47. The two numbers are:
a)39 and 86.
b)40 and 85.
c)47 and 78.
d)None of these choices are correct.
Answer:
let x represent the bigger number
x+x-47=125
2x-47=125
2x=125+47
2x=172
2x/2=172/2
x=86
the smaller number=x-47
86-47
39
therefore the answer is a) 39 and 86
Answer:
A
Step-by-step explanation:
To find the sum of 125, you have to add the numbers.
39+86 = 125
To find the difference of 47, you have to subtract the numbers.
86-39 = 47
Graph g(x)=-8|x |+1.
Answer:
[tex] g(x)=-8|x |+1. = 9552815 \geqslant 6[/tex]
Help please asap!!! Thank you!
Answer:
Here's your answer.
Step-by-step explanation:
Just multiply in
Which table represents a linear function?
Х
1
2
3
4
y
3
6
12
24
х
1
2
3
4
у
2.
5
9
14
х
1
2
3
4
у
-3
-5
-7
-9
х
1
2
3
4
у
-2
-4
-2
0
Answer:
3
Step-by-step explanation:
x 1,2,3,4
y-3,-5,-7,-9
[tex]y = - 3 - (x - 1) \times 2[/tex]
The linear function is given by y = 7x - 4
A linear function is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept
From the table, using the points (1, 3) and (4, 24):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{24-3}{4-1}(x-1)\\\\ y=7x-4[/tex]
The linear function is given by y = 7x - 4.
Find out more on linear function at: https://brainly.com/question/4025726