Answer:
The probability of spending between 4 and 7 days in recovery
P(4≤x≤7) = 0.5445
Step-by-step explanation:
Step(i):-
Given mean of the Population μ = 5.3 days
Given standard deviation of the population 'σ' = 2 days
Let 'X' be the random variable in normal distribution
Let x₁ = 4
[tex]Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65[/tex]
Let x₂ = 7
[tex]Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85[/tex]
Step(ii):-
The probability of spending between 4 and 7 days in recovery
P(4≤x≤7) = P(-0.65≤Z≤0.85)
= P(Z≤0.85) - P(Z≤-0.65)
= 0.5 + A( 0.85) - ( 0.5 - A(-0.65)
= 0.5 + A( 0.85) - 0.5 +A(0.65) ( ∵A(-0.65) = A(0.65)
= A(0.85) + A(0.65)
= 0.3023 + 0.2422
= 0.5445
Final answer:-
The probability of spending between 4 and 7 days in recovery
P(4≤x≤7) = 0.5445
I NEED HELP PLEASE, THANKS! :)
please see the attached picture for full solution..
Hope it helps..
Good luck on your assignment...
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 2708 employees at the company and wants to conduct a systematic sample of size 30.A) What is k?B) Determine the indviduals who will be administered the survey.
Answer:
A) 90
B) The individuals in the survey will be 11, 101, 191,...., 2621.
Step-by-step explanation:
Tenemos lo siguiente a partir del enuciado:
A) let, a consider a department has an alphabetical list of all 2708 employees at company and wants to conduct a systematic sample. Substitute the value as:
k = N/n
reemplanzado nos queda:
k = 2708/30 = 90.26
Lo que quiere decir que el valor de k es de aproximadamente 90 B) Randomly select the number between I and 90, Suppose the randomly selected sumber is 11. The individuals in the survey will be; need to find 30th team, hence by using the airthmetic perogression nth term formula:
30th term = 11+ (30 - 1) *90
30th term = 2621
The individuals in the survey will be 11, 101, 191,...., 2621.
The random sample is obtained
You have $60. You want to buy a pair of jeans and a shirt. The pair of jeans cost $27.
You come home with $15. How much did you spend on the shirt?
Answer:
$18
Step-by-step explanation:
Buying the jeans for $27 leaves you with ($60 - $27), or $33.
Buying the shirt for s dollar leaves you with $15. To find s, the price of the shirt, you subtract $15 from $33: $18.
The shirt cost you $18.
If f(x) = 5x – 2 and g(x) = 2x + 1, find (f - g)(x).
A. 3 - 3x
B. 3x-3
C. 7x-1
D. 7x-3
Answer:
The difference of the functions is (f-g)(x) = 3x - 3
Step-by-step explanation:
In the problem, we are asked to find the difference of the two functions, f(x) and g(x). When we see (f-g)(x), this means that we are going to subtract g(x) from f(x).
f(x) = 5x - 2
g(x) = 2x + 1
(f-g)(x) = (5x - 2) - (2x + 1)
Distribute the negative to (2x + 1)
(f-g)(x) = 5x - 2 - 2x - 1
Combine like terms. Make sure your answer is in standard form.
(f-g)(x) = 3x - 3
So, the answer to the equation is (f-g)(x) = 3x - 3
Which statement is true about the diagram?
If f(x)=8x and g(x)=2x+1, what is (f×g)(x)
Answer:
(f * g)(x) has a final product of 16x² + 8x.
Step-by-step explanation:
When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.
f(x)=8x
g(x)=2x+1
Now, we multiply these terms together.
(8x)(2x + 1)
Use the foil method to multiply.
16x² + 8x
So, the product of these terms is 16x² + 8x.
Write the first four terms in the following sequences. A(n+1)=1/2 A(n) for n≥1 and A(1)=4 .
Answer:
4,2,1 and 1/2
Step-by-step explanation:
The first term is 4 since A(1)=4
● A(2) = (1/2)*A(1) = (1/2)*4 = 2
So the second term is 2
● A(3) = (1/2)*A(2) = (1/2)*2= 1
The third term is 1
●A(4) = (1/2)*A(3) = (1/2) *1 = 1
The first four terms of a sequence are shown below 9,5,1,-3
Which of the following functions best defines this sequence?
A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1
B. f(1)=9, f(n+1)=f(n)+4 for n> or equal to 1
C. f(1)=9, f(n+1)=f(n)-5 for n> or equal to 1
D. f(1)=9, f(n+1)=f(n)+5 for n> or equal to 1
Answer:
A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1
Step-by-step explanation:
Given the sequence:
9, 5, 1, -3We can easily calculate the difference of terms:
-3- 1= 1- 5= 5-9= -4As the difference of terms is same and equal to -4, it is the AP (arithmetic progression)
This sequence can be defined In the form of function as:
f(1)= 9, as the first term is 9f(n+1)= f(n)- 4, as it is decreasing function with the difference of -4n ≥ 1, as we count from the first term onAll the above matches the first answer choice:
A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1Please answer this correctly
Answer:
1/2
Step-by-step explanation:
The numbers that are 6 or even on the cards are 2, 4, and 6.
3 cards out of a total of 6 cards.
3/6 = 1/2
Answer:
1/2 chance
Step-by-step explanation:
There are 3 numbers that fit the rule, 2, 4, and 6. 3/6 chance of picking one or 1/2, simplified.
How can this fact family model help us compare the
numbers shown? You can use the number line to help
you complete each statement.
The sum of 3 and 7 is
10 is
bigger than 3
bigger than 7
10 is
7
Answer:
The sum of 3 and 7 is - 1010 is - bigger than 77 - bigger than 3Step-by-step explanation:
Hope it helps.
Answer:
The sum of 3 and 7 is ( 10 ).10 is ( 7 ) bigger than 3.10 is ( 3 ) bigger than 7.
How do you calculate the y-intercept of a line written in Standard Form?
Answer:
y-int = C/B
Step-by-step explanation:
Ax + By = C
y-int = C/B
Answer:
I hope this helps.
Step-by-step explanation:
Write an equation in point-slope form for each line
Answer: y=x+1
Step-by-step explanation:
y+1=1(x+2)
y+1=x+2
y=x+1
Hope this helps:)
Need help with this Pythagorean theorem formula. In a right triangle ,find the length not given? c=hypotenuse, a=6,b=8. use radicals as needed
Answer: c = 10
Step-by-step explanation:
Pythagorean Theorem states that in a right triangle [tex]a^2 + b^2 = c^2[/tex], where a and b are the legs of the triangle and c is the hypotenuse. Thus, because a=6 and b=8, 36+64=c². Thus 100=c². Thus 10=c
Alice wants to estimate the percentage of people who plan on voting yes for the upcoming school levy. She surveys 380 individuals and finds that 260 plan on voting yes. What is the correct interpretation of the confidence interval
Step-by-step explanation:
Sample proportion [tex]\hat{p} = 260/380 = 0.684[/tex]
90% confidence interval for p is
[tex]\hat{p} - Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n) < p < \hat{p} + Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n)[/tex]
[tex]0.684 - 1.645\times \sqrt ( 1 -0.684) / 380) < P < 0.684 + 1.645\times \sqrt ( 1 -0.684) / 380)[/tex]
0.645 < p < 0.723
Interpretation - We estimate with 90% confidence that the true population proportion of people who plan on voting yes on the levy between 0.645 and 0.723.
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.
Answer:show the table so I can help
Step-by-step explanation:
W
5. 26.5 liter air dan 8.25 liter jus oren dicampurkan bersama. Semua campuran itu
dibotolkan dengan saiz setiap botol adalah 1.25 liter. Berapa botolkah diperlukan
untuk mengisi semua campuran jus oren tersebut?
A. 25
B. 26
C.27
D. 28
Answer: D, 28 bottles.
Step-by-step explanation:
This can be translated to:
26.5 liters of water and 8.25 liters of orange juice are mixed together. All that mixture is bottled in bottles of 1.25 liters. How many bottles are needed to fill all the orange juice mixture?
the total mass of mixture that we have is:
26.5 L + 8.25 L = 34.75 L.
if we want to divide it into groups of 1.25 L, we have:
N = 34.75/1.25 = 27.8
So we have 27.8 groups of 1.25L this means that we need 27.8 bottles.
But we can not have a 0.8 of a bottle, so we must round it up to 28 bottles.
Then the correct option is D:
if a=2 and b=3 then find the value of 4a^2-4ab+b^2
Answer:
1
Step-by-step explanation:
=> [tex]4a^2-4ab+b^2[/tex]
Where a = 2, b = 3
=> [tex]4(2)^2-4(2)(3)+(3)^2[/tex]
=> 4(4) - 4(6) + 9
=> 16 - 24 + 9
=> -8 + 9
=> 1
Answer:
1.
Step-by-step explanation:
Substituting for a and b we have
4(2)^2 - 4*2*3 + (3)^2
= 16 - 24 + 9
= -8 + 9
= 1.
Lee watches TV for 2 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Answer:
$1.08
Step-by-step explanation:
30 days × (2 hrs/day) × (150 W) × (1 kW / 1000 W) × (0.12 $/kWh) = $1.08
What is the explicit rule for the geometric sequence?
600, 300, 150, 75, ...
Answer:
Step-by-step explanation:
Hello, this is a geometric sequence so we are looking for a multiplicative factor.
[tex]a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}[/tex]
So, the explicit formula is for n
[tex]\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The explicit rule is aₙ = a₀(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio.
We have been given that geometric sequence as:
600, 300, 150, 75, ...
To determine the explicit rule for the geometric sequence, we have to find the common ratio.
Here the first term (a₀) is 600
So the common ratio = 300/600 = 150/300 = 75/150 = 1/2
Thus, the explicit formula for n would be:
aₙ = a(1/2)ⁿ = 600(1/2)ⁿ
Therefore, the explicit rule is aₙ = a(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.
Learn more about the geometric series here:
brainly.com/question/21087466
#SPJ2
The snail moved 6 inches in 120 minutes. What was the average speed of the snail in inches per minute
Answer:
0.05 inches per minute
Step-by-step explanation:
The formula for speed is [tex]Speed=\frac{Distance}{Time}[/tex]
The given distance is 6 inches and the time is 120 minutes. Plug in the components into the formula to solve for speed and reduce:
[tex]Speed=\frac{6}{120}[/tex]
[tex]Speed=\frac{1}{20}[/tex]
1/20 in decimal form is 0.05
Question Help The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests positivepositive, given that he or she did not havedid not have the diseas
Answer:
The probability of getting someone who tests positive, given that he or she did not have the disease = P(P|No) = 0.041
Step-by-step explanation:
Complete Question
The data represents the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests positive, given that he or she did not have the disease.
P/N | Yes | No
+ve | 141 | 6
-ve | 11 | 142
Note that +ve and -ve l stands for testing positive and negative respectively.
Yes and No represents whether one has the disease or not respectively.
Solution
Let
- The event of testing positive be P.
- The event of testing negative be N.
- The event of having the disease be Yes.
- The event of not having the disease be No.
The probability of getting someone who tests positive, given that he or she did not have the disease = P(P|No)
The conditional probability of A given B is given mathematically as
P(A|B) = P(A n B) ÷ P(B)
Hence,
P(P|No) = P(P n No) ÷ P(No)
To solve these probabilities, we first define the probability of an event as the number of elements in that event divided by the Total number of elements in the sample space.
P(No) = n(No) ÷ n(Sample space)
n(No) = 6 + 142 = 148
n(Sample Space) = 141 + 11 + 6 + 142 = 300
P(No) = (148/300)
P(P n No) = n(P n No) ÷ n(Sample space)
n(P n No) = 6
n(Sample Space) = 300
P(P n No) = (6/300)
P(P|No) = P(P n No) ÷ P(No)
= (6/300) ÷ (148/300)
= (6/148)
= 0.0405405405 = 0.041 to 3 d.p.
Hope this Helps!!!
x = 16 18 34 can someone explain please?
Answer:
x = 16
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+2) * 2 = 6^2
2(x+2) = 36
Divide each side by 2
x+2 = 18
Subtract 2
x+2-2 = 18-2
x = 16
Answer:
x = 16
Step-by-step explanation:
According to tangent-secant Theorem:
(Tangent)² = (External Part of the secant)(Whole Secant)
(6)² = (2)(2+x)
36 = 4+2x
Subtracting 4 from both sides
36-4 = 2x
=> 2x = 32
Dividing both sides by 2
=> x = 16Which feature of a database displays data in a certain sequence, such as alphabetical order? Chart Filter Search Sort
Answer:
data bar
Step-by-step explanation:
Answer:
chart
Step-by-step explanation:
Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to evaluate it when n = 6. Her work is shown below.
Step 1: 3 minus StartFraction n squared Over 9 EndFraction + 8
Step 2: 3 minus StartFraction 6 squared Over 9 EndFraction + 8
Step 3: 3 minus StartFraction 36 Over 9 EndFraction + 8
Step 4: 3 minus 4 + 8
Step 5: 7
In which step did she make an error?
step 1
step 2
step 4
step 5
Answer:
step 1
Step-by-step explanation:
when you say three less than the quotient
you put the quotient first and then subtract 3
Answer: Step 1
Step-by-step explanation: I took it on my quiz and got an 100
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation? (a)Infinitely many solutions exist because the two situations describe the same line. (b)Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. (c)No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. (d)Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answer:
The correct answer option is: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Two functions are graphed on the coordinate plane.
Which represents where f(x) = g(x)?
10
ger
8
f(4) = g(4) and f(0) = g(0)
f(-4) = g(4) and f(0) = g(0)
f(4) = 9(-2) and f(4) = g(4)
f(0) = g(4) and f(4) = g(-2)
6
to 54 -3 -2 -12
1 2 3 4 5 6 X
o)
-8
-124
Answer:
f(4) = g(4) and f(0) = g(0)
Step-by-step explanation:
In order for f(x) = g(x), the value of x must be the same in both functions:
f(4) = g(4) . . . corresponds to x=4
f(0) = g(0) . . . corresponds to x=0
The graph is not shown here, so we cannot say if these are the appropriate solutions. We can only say that the other choices are not.
f(x) = g(x) if ...
f(4) = g(4) and f(0) = g(0)
__
Something like f(0) = g(4) is useless for finding solutions to f(x) = g(x).
What percent of this grid is unshaded?
The grid has 10 columns and 10 rows making 100 equal sized squares 5 rows are
unshaded. The sixth row has 6 squares unshaded.
Answer:
56%
Step-by-step explanation:
We have a grid with 10 columns and 10 rows making 100 equal sized squares, they tell us that 5 rows are unshaded. Therefore half is unshaded, like so:
5 rows = 50 squares
They also tell us that the sixth row has 6 squares unshaded, which means that in total they would be:
50 + 6 = 56 squares
Knowing that the total is 100, the percentage would be:
56/100 = 0.56, that is, 56% are unshaded
The function h(x)=12/x-1 is one to one. Algebraically find it’s inverse, h^-1(x).
Answer:
Step-by-step explanation:
hello,
I assume that you mean
[tex]h(x)=\dfrac{12}{x-1}[/tex]
so first of all let's take x real different from 1 , as this is not allowed to divide by 0
[tex](hoh^{-1})(x)=x=h(h^{-1}(x))=\dfrac{12}{h^{-1}(x)-1} \ \ \ so\\h^{-1}(x)-1=\dfrac{12}{x} \\\\h^{-1}(x)=1+\dfrac{12}{x}[/tex]
and this is defined for x real different from 0
hope this helps
Q12.
A woman applies for a new job that pays £8.50 a week more (after tax).
She will work 5 days a week and drive to work, as she does in her job now.
The new job is 6 miles further from her house.
Her car travels 8.5 miles per litre of petrol
Petrol costs £1.26 per litre
Will the woman be better off with the new job after she takes the petrol into consideration?
Explain your answer. Include calculations to support your decision.
Decision (yes/no)
8.5x1.295.70
Explanation and supporting calculations
CA
Answer:
Step-by-step explanation:
1l ........8.5 miles
x l .......6 miles
-----------------------
x=6*1/8.5
x=0.70 l
2*0.7=1.4 l petrol/day ( to work and come back home)
5*1.4=7 l/week ( 5 days works in a week)
7*1.26=8.82 L /week
8.82>8.5
The petrol costs more
So the answer is NO
Determine the intercepts of the line. -5x+9y=-18−5x+9y=−18minus, 5, x, plus, 9, y, equals, minus, 18 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Answer:
(3.6, 0), (0, -2)
Step-by-step explanation:
To find the y-intercept, set x=0:
-5·0 +9y = -18
y = -18/9 = -2
To find the x-intercept, set y=0:
-5x +9·0 = -18
x = -18/-5 = 3.6
The intercepts are ...
x-intercept: 3.6
y-intercept: -2