Answer:
The answer is "20".
Step-by-step explanation:
It is also known as the group of the study, that targets the population, which helps to find the survey, which is the sampled population. It is measured by an ideal world, which will be the same, and they're always unique.
Its sampling distribution of the "x bar" should also be naturally independent of the random sample, that is usually distributed. We consider the population as endless if the sampling size is at least 20 times greater than the sample size.Perform the indicated operation. 15b/4 * 8/9a^2b^2
Answer:
The simplified expression is [tex]\frac{10}{3 a^2 b}[/tex]
Step-by-step explanation:
The given expression is:
[tex]\frac{15b}{4} * \frac{8}{9a^2 b^2}[/tex]
Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:
[tex]= \frac{120b}{36 a^2 b^2} \\\\[/tex]
Divide both the numerator and the denominator by 12b:
[tex]= \frac{120b /12b}{36 a^2 b^2/12b}[/tex]
The expression finally becomes:
[tex]= \frac{10}{3 a^2 b}[/tex]
Answer:
Step-by-step explanation:
here u go
Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 minutes to reach mile marker 3. When she reaches mile marker 6, she notes that 8 minutes total have passed since mile marker 0. What is the average speed of the car in miles per minute? What is an equation of the line that represents n, the number of mile marker passed, as a function of t, time in minutes? PLEASE HELP
Answer:
Below
Step-by-step explanation:
The average speed is given by the following formula:
● V = d/t
● d is the distance covered
● t is the time spent to cover the distance d
■■■■■■■■■■■■■■■■■■■■■■■
Ava takes 8 minutes to go from mile marker 0 to mile marker6.
● the distance Ava traveled is 6 miles
● the time Ava spent to reach mile marker 6 is 8 minutes
So the average speed of Ava is:
● V = 6/ 8 = 3/4 = 0.75 mile per min
●●●●●●●●●●●●●●●●●●●●●●●●
Let's The equation of the line that links the number of milemarkers (n) and the time (t).
Ava went from mile marker 0 to mile marker 6.
At t=0 Ava just started travelling from mile marker 0 to 1.
Afrer 8 minutes,she was at mile marker 6.
So 8 min => 6 mile markers (igonring mile marker 0 since the distance there was 0 mile)
6/8= 0.75
Then n/t = 0.75
● n = 0.75 * t
Let's check
● n= 0.75*4 = 3
That's true since after 4 minutes Ava was at mile marker 3.
The function s(V) = Negative RootIndex 3 StartRoot uppercase V EndRoot describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.
What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?
This question is incomplete
Complete Question
The function s(V) = ∛V describes the side length, in units, of a cube with a volume of V cubic units.
Jason wants to build a cube with a minimum of 64 cubic centimeters.
What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?
a) s > 0
b) s ≥ 4
c) s ≥ 8
d) s ≥ 16
Answer:
b) s ≥ 4
Step-by-step explanation:
From the above question, we are given Volume of the cube = 64cm³
We are given the function
s(V) = ∛V
Hence,
The range for the side length s =
s(V) ≥ ∛V
s(V) ≥ ∛64 cm³
s(v) ≥ 4 cm
Therefore, the reasonable range for s, the side length, in centimeters, of Jason’s cube
Option b) s ≥ 4
Answer:
s≥ 4
Step-by-step explanation:
At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. The lower 5% of the class will not get a passing grade. Find the score that separates the lower 5% of the class from the rest of the class
Answer:
55.563
Step-by-step explanation:
Given the following :
Mean(m) point = 73
Standard deviation( sd) = 10.6
Lower 5% will not get a passing grade (those below the 5% percentile)
For a normal distribution:
The z-score is given by:
z = (X - mean) / standard deviation
5% of the class = 5/100 = 0.05
From the z - table : 0.05 falls into - 1.645 which is equal to the z - score
Substituting this value into the z-score formula to obtain the score(x) which seperates the lower 5%(0.05) from the rest of the class
z = (x - m) / sd
-1.645 = (x - 73) / 10.6
-1 645 * 10.6 = x - 73
-17.437 = x - 73
-17.437 + 73 = x
55.563 = x
Therefore, the score which seperetes the lower 5% from the rest of the class is 55.563
What additional information do you need to prove △ABC ≅ △DEF by the SSS Postulate? A. BC = EF B. AB = DE C. AC = DF
Answer:
AC = DF
Step-by-step explanation:
The SSS Postulate occurs when all three corresponding pairs of sides are congruent, therefore, the only missing pair is AC = DF.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the functions given below. VIEW FILE ATTACHED
Answer: see below
Step-by-step explanation:
[tex]P(x)=\dfrac{2}{3x-1}\qquad \qquad Q(x)=\dfrac{6}{-3x+2}\\[/tex]
P(x) ÷ Q(x)
[tex]\dfrac{2}{3x-1}\div \dfrac{6}{-3x+2}\\\\\\=\dfrac{2}{3x-1}\times \dfrac{-3x+2}{6}\\\\\\=\large\boxed{\dfrac{-3x+2}{3(3x-1)}}[/tex]
P(x) + Q(x)
[tex]\dfrac{2}{3x-1}+ \dfrac{6}{-3x+2}\\\\\\=\dfrac{2}{3x-1}\bigg(\dfrac{-3x+2}{-3x+2}\bigg)+ \dfrac{6}{-3x+2}\bigg(\dfrac{3x-1}{3x-1}\bigg)\\\\\\=\dfrac{2(-3x+2)+6(3x-1)}{(3x-1)(-3x+2)}\\\\\\=\dfrac{-6x+4+18x-6}{(3x-1)(-3x+2)}\\\\\\=\dfrac{12x-2}{(3x-1)(-3x+2)}\\\\\\=\large\boxed{\dfrac{2(6x-1)}{(3x-1)(-3x+2)}}[/tex]
P(x) - Q(x)
[tex]\dfrac{2}{3x-1}- \dfrac{6}{-3x+2}\\\\\\=\dfrac{2}{3x-1}\bigg(\dfrac{-3x+2}{-3x+2}\bigg)- \dfrac{6}{-3x+2}\bigg(\dfrac{3x-1}{3x-1}\bigg)\\\\\\=\dfrac{2(-3x+2)-6(3x-1)}{(3x-1)(-3x+2)}\\\\\\=\dfrac{-6x+4-18x+6}{(3x-1)(-3x+2)}\\\\\\=\dfrac{-24x+10}{(3x-1)(-3x+2)}\\\\\\=\large\boxed{\dfrac{-2(12x-5)}{(3x-1)(-3x+2)}}[/tex]
P(x) · Q(x)
[tex]\dfrac{2}{3x-1}\times \dfrac{6}{-3x+2}\\\\\\=\large\boxed{\dfrac{12}{(3x-1)(-3x+2)}}[/tex]
−30=5(x+1) solve for x pls help
Answer:
[tex] \boxed{\sf x = -7} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: x: \\ \sf \implies - 30 = 5(x + 1) \\ \\ \sf - 30 =5(x+ 1) \: is \: equivalent \: to \: 5 (x + 1) = - 30: \\ \sf \implies 5(x + 1) = - 30 \\ \\ \sf Divide \: both \: sides \: of \: 5(x+ 1) = - 30 \: by \: 5: \\ \sf \implies \frac{5(x + 1)}{5} = - \frac{30}{5} \\ \\ \sf \frac{5}{5} = 1 : \\ \sf \implies x + 1 = - \frac{30}{5} \\ \\ \sf - \frac{30}{5} = - \frac{6 \times \cancel{5}}{ \cancel{5}} = - 6 : \\ \sf \implies x + 1 = - 6 \\ \\ \sf Subtract \: 1 \: from \: both \: sides: \\ \sf \implies x + (1 - 1) = - 6 - 1 \\ \\ \sf 1 - 1 = 0 : \\ \sf \implies x = - 6 - 1 \\ \\ \sf - 6 - 1 = - 7 : \\ \sf \implies x = - 7[/tex]
Answer:
[tex] \boxed{x = - 7}[/tex]
Step-by-step explanation:
[tex] \mathrm{ - 30 = 5(x + 1)}[/tex]
Distribute 5 through the parentheses
[tex] \mathrm{ - 30 = 5x + 5} [/tex]
Move constant to L.H.S and change its sign
[tex] \mathrm{ - 30 - 5 = 5x}[/tex]
Calculate
[tex] \mathrm{ - 35 = 5x}[/tex]
Swipe the sides of the equation
[tex] \mathrm{5x = - 35}[/tex]
Divide both sides of the equation by 5
[tex] \mathrm{ \frac{5x}{5} = \frac{ - 35}{5} }[/tex]
Calculate
[tex] \mathrm{x = - 7}[/tex]
Hope I helped!
Best regards!!
A sample of size 60 from one population of weights had a sample average of 10.4 lb. and a sample standard deviation of 2.7 lb. An independent sample of size 100 from another population of weights had a sample average of 9.7 lb. with a sample standard deviation of 1.9 lb. Find a 95% confidence interval for the difference between the population means.
Answer:
z= 0.278
Step-by-step explanation:
Given data
n1= 60 ; n2 = 100
mean 1= x1`= 10.4; mean 2= x2`= 9.7
standard deviation 1= s1= 2.7 pounds ; standard deviation 2= s2 = 1.9 lb
We formulate our null and alternate hypothesis as
H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)
We set level of significance α= 0.05
the test statistic to be used under H0 is
z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂
the critical region is z > ± 1.96
Computations
z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100
z= 10.4- 9.7/ √ 7.29/60 + 3.61/100
z= 0.7/√ 0.1215+ 0.0361
z=0.7 /√0.1576
z= 0.7 (0.396988)
z= 0.2778= 0.278
Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0 at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.
Faizan buys a car for £2000.Its value depreciates by 2% each year. How much is it worth after 1 year?
Answer:
£1960
Step-by-step explanation:
Step 1.
2% = 100% ÷ 50
Step 2.
£2000 ÷ 50 = £40
Step 3.
£2000 - £40 = £1960
The graph represents function 1 and the equation represents function 2:
Function 2 y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
Greetings from Brasil...
In a linear function, the rate of change is given by M (see below).
F(X) = Mx + NM = rate of change
N = linear coefficient
The Function 2 has M = 4, cause
F(X) = 4X + 1
(M = 4 and N = 1)
For Function 1 we have a rate of change equal to zero, becaus it is a constant function... let's see:
M = ΔY/ΔX
M = (3 - 3)/(4 - 0)
M = 0/4 = 0
So, the Function 2 has 4 times more rate of change than the first
Your answer is two!!
Calculate the pay for the following day of a
weekly time card given a wage of $14/hr.
Morning:
In 08:00
Out 12:00
Afternoon:
In 12:45
Out 17:30
pay = $[?]
Answer: $122.50
Step-by-step explanation:
In Out
8:00 12:00 = 4 hours
12:45 17:30 = 4.75 hours
Total 8.75 hours
8.75 hours x $14/hr = $122.50
Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:
17:30 → 16:90
- 12:45 - 12:45
4: 45
4 hours 45 minutes = [tex]4\frac{3}{4}[/tex] = 4.75 hours
What the answer fast
Answer:
when we add all the angles.
=58+94+15=167
so it's a 180..
180_167
=13
round to nearest tenth.
=10..
what is the point slope equation of a line with a slope 4 of a that contains the point (6, -2)?
Answer:
y+2 = 4(x-6)
Step-by-step explanation:
The point slope equation of a line is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - -2 = 4( x-6)
y+2 = 4(x-6)
01:
Which expression can be used to model the phrase the sum of three and a number?
Answer:
3+x
Step-by-step explanation:
sum= addition
a number= a number
Answer:
3+x
eplanation
solve the inequality -2/11 j _< 8
Answer:
j ≥ -44
Step-by-step explanation:
-2/11 j ≤ 8
Multiply each side by -11/2 to isolate j. Flip the inequality since we are multiplying by a negative
-11/2 * -11/2 j ≥ 8 * -11/2
j ≥ -44
Answer:
[tex]j\geq -44[/tex]
Step-by-step explanation:
The inequality given is:
[tex]\frac{-2}{11}j\leq 8[/tex]
To solve the inequality, we must get the variable j by itself.
j is being multiplied by -2/11. To reverse this, we must multiply by the reciprocal of the fraction.
Flip the numerator (top number) and denominator (bottom number) to find the reciprocal.
[tex]\frac{-2}{11} --> \frac{-11}{2}[/tex]
Multiply both sides of the equation by -11/2.
[tex]\frac{-11}{2} *\frac{-2}{11} j \leq 8*\frac{-11}{2}[/tex]
[tex]j\leq 8*\frac{-11}{2}[/tex]
Since we multiplied by a negative number, we must flip the inequality sign.
[tex]j\geq 8*\frac{-11}{2}[/tex]
Multiply 8 and -11/2
[tex]j\geq 8*-5.5[/tex]
[tex]j\geq -44[/tex]
The solution to the inequality is: [tex]j\geq -44[/tex]
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from five people are combined and the mixture tests negative, we know that all five individual samples are negative. Find the probability of a positive result for five samples combined into one mixture, assuming the probability of an individual blood sample testing positive for the virus is 0.06.
Answer: 0.271
Step-by-step explanation:
Probability of complement of an even is 1 decreased by the probability of the event
P(At least one) =1 - P(none)
The probability that of testing negative is 0.9 because the probability of testing positive is 0.1
P( at least one) = 1 - P(none) = 1 - (0.93^3) = 0.271
a) John is 3 years older than his brother Brian, the product of their ages is 54 i) Express this information in equation form ii) Show this information as a quadratic equation iii) Hence, solve the equation to find their individual ages.
Answer:
John is 9, Brian is 6.
Step-by-step explanation:
I)
Let [tex]J[/tex] represent John's age and [tex]B[/tex] represent Brian's age.
John is three years older than Brian. In other words:
[tex]J=B+3[/tex]
The product of their ages is 54. Or:
[tex]JB=54[/tex]
II)
Write this as a quadratic by substituting:
[tex]JB=54\\(B+3)B=54\\B^2+3B-54=0[/tex]
III)
Solve the quadratic:
[tex]B^2+3B-54=0\\B^2-6B+9B-54=0\\B(B-6)+9(B-6)=0\\(B+9)(B-6)=0\\B=-9, 6[/tex]
Since age cannot be negative, Brian must be 6 years old right now.
John is three year older, so John is 9.
Solve tan theta +1=-2tan theta
Answer:
[tex]\boxed{135\°,315\°}[/tex]
Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
[tex]\theta = 135+180n[/tex]
[tex]n[/tex] is any integer value.
The value of [tex]n[/tex] cannot exceed 1 or be less than 0, because the value of [tex]\theta[/tex] must be between 0 and 360 degrees.
[tex]\theta = 135+180(0)[/tex]
[tex]\theta = 135[/tex]
[tex]\theta = 135+180(1)[/tex]
[tex]\theta = 315[/tex]
questions:
1. name two parallel lines___________________
2. Name the transversal lines________________
3. Name a pair of alternante exterior angles____________
4. Name an angle that is congruent to <2____________
5. Name an angle that is supplementary to <2________________________
Answer:
a and b c because it's crossing both lines a and b 1 and 5 4 is congruent to 21 is supplementary to 2 since they form a 180° angleA rectangular piece of sheet metal has an area of 1200 in2. It is going to be bent into a cylinder with volume 600 in3. What are the dimensions of rectangular piece of sheet metal
Answer:
x=6.28 inches
y=191.08 inches
Step-by-step explanation:
Let the dimensions of the rectangle be x and y
Area of the rectangular sheet
x*y=1200 in^2}
x = circumference of the cylinder
This means x=2πr
Volume of a cylinder=πr^2h
h=y
Volume of the cylind=πr^2(y)=600 in^3
From x=2πr
r=x/2π
Substitute r=x/2π into Volume=πr^2(y)=600 in^3
We have,
Volume of the cylinder=πr^2(y)=600 in^3
π*(x/2π)^2(y)=600
(x^2/4π)y=600
Recall, x*y=1200
y=1200/x
Substitute y=1200/x into (x^2/4π)y=600
(x^2/4π)y=600
(x^2/4π)(1200/x)=600
1200x/4π=600
Multiply both sides by 4π
(x^2/4π)(1200/x)(4π)=600*4π
1200x=2400π
Divide both sides by 1200
1200x/1200 = 2400π/1200
x=2π
Substitute x=2π into y=1200/x
We have,
y=1200/2π
y=600/π
The dimensions are x=2π and y=600/π
Let π=3.14
x=2π
=2(3.14)
=6.28 inches
y=600/π
=600/3.14
=191.08 inches
core: 0 of 1 pt
9 of 9 (0 complete)
HW Score: 0%, 0 of 9 p
.7.29
Skill Builder
Question Help
The supply function and demand function for the sale of a certain type of DVD player are given by S(p) = 140e 0.005p and D(p) = 448e -0.003p, where S(p) is the number
of DVD players that the company is willing to sell at price p and D(p) is the quantity that the public is willing to buy at price p. Find p such that D(p) = S(p). This is called
the equilibrium price.
The equilibrium price is about $
(Do not round until the final answer. Then round to two decimal places as needed.)
nts
X
vo
(L,
More
Enter your answer in the answer box and then click Check Answer.
All parts showing
Clear All
Final Check
OK
De here to search
O i
..
W
Answer:
145.39
Step-by-step explanation:
The ratio of supply to demand will be 1 at the equilibrium price:
S(p)/D(p) = 1 = 140e^(0.005p)/(448e^(-0.003p))
448/140 = e^(0.005p -(-0.003p)) = e^(0.008p)
ln(448/140) = 0.008p . . . . . . . . . taking the natural log
p = ln(448/140)/0.008 ≈ 145.39
The equilibrium price is about $145.39.
Find (f•g)(x) for the given functions: f(x) = 5/x and g(x) = 3 + x/5.
Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can
tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the
total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window
panes is an expression with a whole number exponent.
Answer:
There are 192 window panes in total.
Step-by-step explanation:
Since each window has four window panes across and four window panes down,the number of panes per window is:
[tex]w=4*4=4^2[/tex]
The total number of window panes in 'n' windows is:
[tex]P=n*4^2[/tex]
With n = 12 windows, the expression that describes the total number of window panes is:
[tex]P=12*4^2\\P=192\ panes[/tex]
There are 192 window panes in total.
Answer:
One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.
Step-by-step explanation:
One window has 4 × 4, or 42, window panes, so 12 windows have 12 × 4^2 window panes.
PLEASE HELP
Speed of pulley A = 400 r.p.m.
Speed of pulley B =
A:100
B:200
C:1600
Speed of pulley C =
A:100
B:1600
C:200
Speed of pulley D =
A:100
B:40
C:160
see attachment a=400 rpm b and c = 200 rpm d = 40 rpm
Answer:
pulley B 200, pulley C 200, pulley D 160
A researcher wishes to estimate the number of households with two cars. A previous study indicates that the proportion of households with two cars is 25%. How large a sample is needed in order to be 99% confident that the sample proportion will not differ from the true proportion by more than 3%?
A) 4.
B) 1132.
C) 1842.
D) 1382.
2x + 3 + 7x = – 24, what is the value of x?
14x + 3 = - 24
theeeeen I get stuck, HELP!
Answer:
-3
Step-by-step explanation:
2x + 3 +7x = -24
Add the X together
9x +3 = -24
Bring over the +3. [when you bring over change the sign]
9x = -24 -3
9x = -27
-27 divide by 9 to find X
therefore answer is
x= -3.
Hope this helps
Answer:
x = -3
Step-by-step explanation:
question is
2x + 3 + 7x = -24
First you combine the like terms
2x and 7x you can add them so it will be 9x
so it will then it will be like this:
9x + 3 = -24
now you take the 3 and send it to the other side, and right now the 3 is positive so when it goes to the other side it will turn into -3
so
9x = -24 -3
again now you combine the like terms
-24 -3 = - 27
now you have
9x = -27
now just divide each side by 9
x = -27/9
x = -3
Sorry if this doesnt help
A scrub nurse recorded the temperature in the operating theatre every two hours over a 12 hour period from noon to midnight. The results are shown in the following line graph
NoAnswer:
Step-by-step explanation:
Cause I’m good
Transformations of exponential functions
Answer:
Since the transformation is made by shifting the function right, it is a horizontal transformation.
Two similar data sets are being compared. The standard deviation of Set A is 4.8. The standard deviation of Set B is 6.5.
Answer:
The spread of the data in Set B is greater than the spread of the data in Set A.
Step-by-step explanation:
Just took the test :3
A father's age is 4 times as that of his son's age. in 5 years time, the father will be 3 times as old as his son. what are their present ages?
Answer:
present age of son = 10 present age of father = 40Step-by-step explanation:
Let, present age of son be 'x'
present age of father be 'y'
y = 4x→ equation ( i )
After five years,
Son's age = x + 5
father's age = y + 5
According to Question,
[tex]y + 5 = 3(x + 5)[/tex]
Put the value of y from equation ( i )
[tex]4x + 5 = 3(x + 5)[/tex]
Distribute 3 through the parentheses
[tex]4x + 5 = 3x + 15[/tex]
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S. and change its sign
[tex]4x - 3x = 15 - 5[/tex]
Collect like terms
[tex]x = 15 - 5[/tex]
Calculate the difference
[tex]x = 10[/tex]
Now, put the value of X in equation ( i ) in order to find the present age of father
[tex]y = 4x[/tex]
plug the value of X
[tex] = 4 \times 10[/tex]
Calculate the product
[tex] = 40[/tex]
Therefore,
Present age of son = 10
present age of father = 40
Hope this helps..
Best regards!!