Answer:
[tex]\bar x = 3.545[/tex]
[tex]Median = 3.435[/tex]
Step-by-step explanation:
Given
[tex]x:3.89, 3.51, 3.97, 3.31, 3.21, 3.36, 3.67, 3.24, 3.27[/tex]
[tex]10th: 4.02[/tex]
Solving (a): The mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{3.89 +3.51 +3.97 +3.31 +3.21 +3.36 +3.67 +3.24 +3.27+4.02}{10}[/tex]
[tex]\bar x = \frac{35.45}{10}[/tex]
[tex]\bar x = 3.545[/tex]
Solving (b): The median
First, we sort the data; as follows:
[tex]3.21, 3.24, 3.27, 3.31, 3.36, 3.51, 3.67, 3.89, 3.97, 4.02[/tex]
[tex]n = 10[/tex]
So, the median position is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{10 + 1}{2}th[/tex]
[tex]Median = \frac{11}{2}th[/tex]
[tex]Median = 5.5th[/tex]
This means that the median is the average of the 5th and 6th item
[tex]Median = \frac{3.36 + 3.51}{2}[/tex]
[tex]Median = \frac{6.87}{2}[/tex]
[tex]Median = 3.435[/tex]
Consider the probability that no less than 37 out of 295 cell phone calls will be disconnected. Choose the best description of the area under the normal curve that would be used to approximate binomial probability.
a. Area to the right of 36.5
b. Area to the right of 37.5
c. Area to the left of 36.5
d. Area to the left of 37.5
e. Area between 36.5 and 37.5
==========================================================
Explanation:
The phrasing "no less than" means the same as "at least".
Saying "at least 37" means 37 is the lowest we can go.
If x is the number of disconnected calls, then [tex]x \ge 37[/tex] and we want to find the probability of this happening (the max being 295).
We could use the binomial distribution to find the answer, but that would require adding 295-37+1 = 259 different values which could get tedious. So we could use the normal approximation to make things relatively straight forward.
Assuming this binomial meets the requirements of the normal approximation, then we'd look under the normal curve for the area to the right of 36.5; which is why the answer is choice A.
Why 36.5 and not 37? This has to do with the continuity correction factor when translating from a discrete distribution (binomial) to a continuous one (normal).
If we used 37, then we'd be missing out on the edge case. So we go a bit beyond 37 to capture 36.5 instead. It's like a fail safe to ensure we do account for that endpoint of 37. It's like adding a buffer or padding.
------------
Side notes:
Choice B would be the answer if we wanted to excluded 37 from the group, ie if we wanted to calculate [tex]P(x > 37)[/tex] instead of [tex]P(x \ge 37)[/tex]. So we're moving in the opposite direction of choice A to avoid that edge case. We go with "right" instead of "left" since this is what the inequality sign says.Question is in picture below
Answer:
The obove picture the rule is SSA
The probability that a 38-year-old white male will live another year is .99813. What premium would an insurance company charge to break even on a one-year $1 million term life insurance policy
Answer:
The insurance company should charge $1,873.5.
Step-by-step explanation:
Expected earnings:
1 - 0.99813 = 0.00187 probability of the company losing $1 million(if the client dies).
0.99813 probability of the company earning x(price of the insurance).
What premium would an insurance company charge to break even on a one-year $1 million term life insurance policy?
Break even means that the earnings are 0, so:
[tex]0.99813x - 0.00187(1000000) = 0[/tex]
[tex]0.99813x = 0.00187(1000000)[/tex]
[tex]x = \frac{0.00187(1000000)}{0.99813}[/tex]
[tex]x = 1873.5[/tex]
The insurance company should charge $1,873.5.
1,620 to the nearest ten ? Please don't answer if you know your wrong !
Answer:
I will say 2,000 yes so that is what I am putting
una fuerza constante F de magnitud igual a 3lb se aplica al bloque que se muestra en la figura. F tiene la misma dirección que el vector a= 3i + 4j. determine el trabajo realizado en la dirección de movimiento si el bloque se mueve de P1 (3, 1) a P2 (9, 3). Suponga que la distancia se mide en pies.
A sprinkler releases water st a rate of 150 liters per hour. If the sprinkler operated for 80 minutes how many liters of water will be released
The amount of water released from the sprinkler for 80 minutes is 200 L
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of water from the sprinkler for 80 minutes be = A
Now , the value of A is given by the equation
A sprinkler releases water st a rate of 150 liters per hour
So , 60 minutes = 150 Liters of water
80 minutes = 1/60 hours
80 minutes = 1.333 hours
The amount of water released for 1.333 hours A = 150 x 1.333
On simplifying the equation , we get
The amount of water released for 1.333 hours A = 200 L
Therefore , the value of A is 200 L
To learn more about equations click :
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What is the probability that in a sample of 400 registered voters to at least 290 voted in their most recent local
Answer:
The probability that in a sample of 400 registered voters at least 290 voted in their most recent local elections is:
= 72.5%
Step-by-step explanation:
Sample of registered voters = 400
Sample of voters that actually voted = 290
Probability = 290/400 * 100
= 72.5%
b) This result above gives the statistic that for every 100 registered voters, 72.5 voters voted. Probability measures the chance of an event occurring given other events. Therefore, one can conclude that the voting was at least 72.5%. Inversely, 27.5% of the registered voters did not participate or cast their ballots in the local elections.
Solve the inequality. |X+19|<7
Answer:
x<-12
Step-by-step explanation: hope this helps!
Kala drove 819 miles in 13 hours.
At the same rate, how long would it take her to drive 441 miles?
Answer:
[tex]{ \tt{ \frac{819}{13} = \frac{441}{h} }} \\ { \tt{h = \frac{(441 \times 13)}{819} }} \\ h = 7 \: hours[/tex]
Please help ASAP. No links
Hello my dear friend of USA !!!
DB/AD = BE/EC
=> 6/4 = x+1/x
=> 6x = 4x + 4
=> 2x = 4
=> x = 2
So x = 2
I am from INDIA.
Lots of love ❤️!!!
Have a great day ahead!
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{6}{4} = \frac{x+1}{x}[/tex]
6x = 4x + 4
2x = 4
x = 2
Pls could someone help me with this
Answer:
- Bar Gaps should be the same
Y-axis up in units of 5 would help out
Step-by-step explanation:
For which pair of functions is the vertex of k(x) 6 units below the vertex of
f(x)?
A. Ax) = x2 and k(x) = x2 + 6
B. f(x) = x2 and k(x) = (x+6)2
C. Ax) = x and k(x) = (x – 6)2
D. f(x) = x2 and k(x) = x2 - 6
Using translation concepts, the vertex of k(x) is 6 units below the vertex of f(x) = x² for:
D. f(x) = x² and k(x) = x² - 6.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
We want to shift the vertex 6 units down, hence the transformation is y -> y - 6, so the correct pair is:
D. f(x) = x² and k(x) = x² - 6.
More can be learned about translation concepts at https://brainly.com/question/4521517
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If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by
P(x) = p(1−p)x−1
where p is the probability of success on any one trial. Subjects are randomly selected for a health survey. The probability that someone is a universal donor (with group O and type Rh negative blood) is 0.15. Find the probability that the first subject to be a universal blood donor is the fifth person selected.
Answer:
0.0783
Step-by-step explanation:
The probability of getting the first success on xtg trial ; this is a geometric distribution :
P(x) = p(1−p)^x−1
The probability of being a universal donor , p = 0.15
The probability of obtaining someone who is a universal donor on 5th trial will be :
P(5) = 0.15(1 - 0.15)^(5 - 1)
P(5) = 0.15(0.85)^4
P(5) = 0.15(0.52200625)
P(5) = 0.0783009375
P(5) = 0.0783
What is 70% less than 55?
Answer:
100-70=30 so
55*0.3=16.5
Hope This Helps!!!
Answer:
Answer :
70% less than 55 is
16.5
Write 2 1/4 as a decimal
Hey there!
2 1/4
= 2 * 4 + 1 / 4
= 8 + 1 / 4
= 9 / 4
= 9 ÷ 4
= 2.25
Therefore, your answer is: 2.25
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
in a school project you need to provide a blueprint of the schools rectangular playground .the blueprint dimensions of the playground are 23/147 yd x 3/14 yd after reducing them by the factor of 2/147 what are the original dimensions if the playground in yards
Answer:
L = 0.16 yd, W = 0.22 yd
Step-by-step explanation:
Dimensions of play ground 23/147 yd x 3/14 yd
reducing factor 2/147
Let the original length is L.
[tex]L - \frac{2L}{147} = \frac{23}{147}\\\\L\frac{143}{147} = \frac{23}{147}\\\\L=\frac{23}{143} yd[/tex]
L = 0.16 yd
Let the width is W.
[tex]W - \frac{2W}{147} = \frac{3}{14}\\\\W\frac{143}{147} = \frac{3}{14}\\\\W=0.22 yd[/tex]
Which of the following is equivalent to (2a + a)(3b + 1)?
Tip: Simplify the expression on the left first, and then use the distributive property.
2a + 3ab + a
3a + 3b + 1
3a(3b + 3)
9ab + 3a
Answer:
9ab+3a
Step-by-step explanation:
(2a+a)(3b+1)=(3a)(3b+1)
3a(3b+1)
=(3a×3b)+3a×1
=9ab+3a
-10 degrees Celsius is what Fahrenheit
Answer:
Step-by-step explanation:
i think if its -10 degrees i think the fahrenheit would be 50 degrees
Necesito ayuda con esto
Answer:
La suma de las dos matrices cuadradas de dimensión 2 es [tex]\vec U = \left[\begin{array}{cc}-1&11\\2&5\end{array}\right][/tex].
Step-by-step explanation:
Considerando que se tratan de dos matrices de igual dimensión y cuyos elementos son números reales, conocemos que la adición entre dos matrices consiste en las sumas de los elementos de igual posición, esto es, los elementos que están localizados en las mismas filas y columnas, entonces, la suma es:
[tex]\vec A = \left[\begin{array}{cc}1&2\\-1&0\end{array} \right][/tex], [tex]\vec B = \left[\begin{array}{cc}-2&9\\3&5\end{array}\right][/tex]
[tex]\vec U = \vec A + \vec B = \left[\begin{array}{cc}1 + (-2)&2+9\\-1 + 3&0 + 5\end{array}\right][/tex]
[tex]\vec U = \left[\begin{array}{cc}-1&11\\2&5\end{array}\right][/tex]
La suma de las dos matrices cuadradas de dimensión 2 es [tex]\vec U = \left[\begin{array}{cc}-1&11\\2&5\end{array}\right][/tex].
prove the identity of
[tex] 4 sin^{2}x + 7sin^{2} = 4 + 3cos^{2} [/tex]
Answer:
7sin
2
x+3cos
2
x=4
4sin
2
x+3sin
2
x+3cos
2
x=4
4sin
2
x+3=4
4sin
2
x=1
sin
2
x=
4
1
sinx=
2
1
or sinx=−
2
1
Step-by-step explanation:
TAKING THE POSITIVE ROOT x=
6
π
tan(
6
π
)=
3
1
Give two examples of addition of two mixed numbers with different denominators
SHOW ALL STEPS
Answer:
First Example: 3 1/2 + 4 3/4, Second Example: 6 3/8 + 7 9/15
Extra Example: 8 4/20 + 3 5/10
Step-by-step explanation:
First Example:
1/2 + 3/4
1/2 is equal to 2/4 so it is now compatible to be added to 3/4.
2/4 + 3/4
= 5/4
Now for the mixed numbers since its 3 and 4, 3 + 4 = 7.
Final answer is 7 5/4.
Second Example:
3/8 + 9/15
9/15 can be reduced to 3/5
Now the equation is 3/8 + 3/5
= 15/40 + 24/40 is an equivalent equation
15/40 + 24/40
= 39/40
Now for the mixed numbers since its 6 and 7, 6 + 7 = 13
Final answer is 13 39/40.
I am going to include one last example just in case you need one:
Third Example:
4/20 + 5/10
We can reduce these to
1/5 + 1/2
= 2/10 + 5/10 is the equivalent equation
2/10 + 5/10
= 7/10
Now for the mixed numbers since its 8 and 3, 8 + 3 = 11.
Final answer is 11 7/10.
I Hope this helps!
NEED ANSWER QUICK
Timmy and Tommy are two boys whose ages add up to 23. Timmy is 5
years older than Tommy. How old are they?
Answer:
Tommy's age is 9 years old.
Timmy's age is 14 years old.
Step-by-step explanation:
Take Tommy's age to be x and Timmy's age to be x+5
x+x+5=23
2x+5=23
2x=23-5=18
x=18÷2=9
x+5=9+5=14
An economic instructor at UCF is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 11 students who took the course last semester follow:
# of observation(s) n = 30
# of independent variable(s) = 1
SSR = 1,297 SSE= 920
Required:
Find the F test statistic.
Answer:
[tex]F = 39.47[/tex]
Step-by-step explanation:
Given
[tex]n = 30[/tex] --- observations
[tex]p = 1[/tex] -- variables
[tex]SSR = 1,297[/tex]
[tex]SSE= 920[/tex]
Required
The F statistic
This is calculated using:
[tex]F = \frac{SSR}{p} \div \frac{SSE}{n - p -1}[/tex]
[tex]F = \frac{1297}{1} \div \frac{920}{30 - 1 -1}[/tex]
[tex]F = \frac{1297}{1} \div \frac{920}{28}[/tex]
[tex]F = 1297 \div \frac{920}{28}[/tex]
Rewrite as:
[tex]F = 1297 * \frac{28}{920}[/tex]
[tex]F = \frac{1297 *28}{920}[/tex]
[tex]F = \frac{36316}{920}[/tex]
[tex]F = 39.47[/tex]
2. The prices, in dollars per unit, of the three commodities X, Y and Z are x, y and z,
respectively
Person A purchases 4 units of Z and sells 3 units of X and 3 units of Y.
Person B purchases 3 units of Y and sells 2 units of X and 1 unit of Z.
Person C purchases 1 unit of X and sells 4 units of Y and 6 units of Z.
In the process, A, B and C earn $40, $50, and $130, respectively.
a) Find the prices of the commodities X, Y, and Z by solving a system of linear
equations (note that selling the units is positive earning and buying the units is
negative earning).
Answer:
Price of X is $24.81
Price of Y is $3.66
Price of Z is $11.36
Step-by-step explanation:
for person A, we know that earns $40, then we can write the equation:
-4*z + 3*x + 3*y = $40
For person B, we know that earns $50, then:
1*z + 2*x - 3*y = $50
For person C, we know that earns $130, then:
6*z - 1*x + 4*y = $130
Then we have a system of equations:
-4*z + 3*x + 3*y = $40
1*z + 2*x - 3*y = $50
6*z - 1*x + 4*y = $130
To solve the system, we need to isolate one of the variables in one of the equations.
Let's isolate z in the second equation:
z = $50 - 2*x + 3*y
now we can replace this in the other two equations:
-4*z + 3*x + 3*y = $40
6*z - 1*x + 4*y = $130
So we get:
-4*($50 - 2*x + 3*y) + 3*x + 3*y = $40
6*($50 - 2*x + 3*y) - 1*x + 4*y = $130
Now we need to simplify both of these, so we get:
-$200 + 11x - 9y = $40
$350 - 13*x + 28*y = $130
Now again, we need to isolate one of the variables in one of the equations.
Let's isolate x in the first one:
-$200 + 11x - 9y = $40
11x - 9y = $40 + $200 = $240
11x = $240 + 9y
x = ($240 + 9y)/11
Now we can replace this in the other equation:
$350 - 13*x + 28*y = $130
$350 - 13*($240 + 9y)/11 + 28*y = $130
Now we can solve this for y.
- 13*($240 + 9y)/11 + 28*y = $130 - $350 = -$220
-13*$240 - (13/11)*9y + 28y = - $220
y*(28 - (9*13/1) ) = -$220 + (13/11)*$240
y = ( (13/11)*$240 - $220)/(28 - (9*13/1) ) = $3.66
We know that:
x = ($240 + 9y)/11
Replacing the value of y, we get:
x = ($240 + 9*$3.66)/11 = $24.81
And the equation of z is:
z = $50 - 2*x + 3*y = $50 - 2* $24.81 + 3*$3.66 = $11.36
Then:
Price of X is $24.81
Price of Y is $3.66
Price of Z is $11.36
which equation has the steepest graph ?
Answer:
Step-by-step explanation:
A.
[tex] \green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}} [/tex]
which equation has the steepest graph ?
[tex] \red{ \bold{ \textit{STANDARD \: EQUATION}}}[/tex]
[tex]y = mx + c[/tex]
[tex]WHERE \\ m = SLOPE \\ c = Y - INTERCEPT[/tex]
[tex] \huge\green{\boxed{\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}}}[/tex]
[tex] \blue{A.T.Q}[/tex]
PART A:-
[tex]y = mx + c \sim y= -14x+1 [/tex]
[tex] \orange{SO}[/tex]
m= (-14)
which is equal to the slope of the equation .
PART B:-
[tex]y = mx + c \sim y= ¾x-9 [/tex]
[tex] \orange{SO}[/tex]
m= (¾)
PART C:-
[tex]y = mx + c \sim y= 10x-5[/tex]
[tex] \orange{SO}[/tex]
m= (10)
PART D:-
[tex]y = mx + c \sim y= 2x+8[/tex]
[tex] \orange{SO}[/tex]
m= (2)
SO MAXIMUM SLOPE IS :-( -14 )Negative shows Slope is in negative direction.
[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]
Solve the following system of equations
Answer:
Given Two equations :-
[tex]3x {}^{2} - 2 {y}^{2} = 57 .\: .\: .\: . \:(i) \\ - 2 {x}^{2} + 3 {y}^{2} = -23.\: .\: .\: . \:(ii)[/tex]
multiplying eq.(i) by 2 eq.(ii) by 3.[tex](3x {}^{2} - 2 {y}^{2} = 57 ) \times 2 .\: .\: .\: . \:(i) \\ ( - 2 {x}^{2} + 3{y}^{2} = - 23) \times 3.\: .\: .\: . \:(ii)[/tex]
[tex]6x {}^{2} - 4 {y}^{2} =114 .\: .\: .\: . \:(i) \\ - 6 {x}^{2} + 9 {y}^{2} = - 69.\: .\: .\: . \:(ii)[/tex]
[tex]0 + 5 {y}^{2} = 45 \\ 5y {}^{2} = 45 [/tex]
diving both sides by 5[tex] {y}^{2} = 9[/tex]
taking Square root[tex]y = + - 3[/tex]
placing this value of y² in eq. (i)3x²- 2×9 = 57
3x² - 18 = 57
adding 18 to both sides3x² = 57 + 18
3x²= 75
diving both sides by 3x² = 25
x = ± 5
So, the values of x are +5 and -5 and the values of y are +3 and -3Least to greatest 22,755 20,564 2,3805
Least to greatest: 20,564 22,755 2,3805
A random sample of size 36 is to be taken from a population that is normally distributed with mean 72 and standard deviation 6. The sample mean of the observations in our sample is to be computed. The sampling distribution of the sample mean is
Answer:
The sampling distribution of the sample mean is approximately normal with mean 72 and standard deviation 1.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Normally distributed with mean 72 and standard deviation 6.
This means that [tex]\mu = 72, \sigma = 6[/tex]
A random sample of size 36
This means that [tex]n = 36, s = \frac{6}{\sqrt{36}} = 1[/tex]
The sampling distribution of the sample mean is
By the Central Limit Theorem, it is approximately normal with mean 72 and standard deviation 1.
PLEASE HELP
The function in the table is quadratic
True
False
Answer:
True
Step-by-step explanation:
Each f(x) value increases by 5 so therefore this function would be linear
Hope you understand :)
Sticky buns sell for $1.25 each,or $10.89 per dozen. how much does each bun cost if purchased by the dozen? How much do you save on 12 sticky buns?
Answer:
If you buy per dozen, each buns costs about 91 cents.
You will save $4.11 if you buy per dozen.
Step-by-step explanation:
1.25 * 12= $15
10.89/12= .9075 = .91 cents
15-10.89= $4.11