Answer:
0.5
0.9545
0.68268
0.4986501
Step-by-step explanation:
The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.
a. less than $1.55?
b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?
Given that :
Mean (m) = 1.55
Standard deviation (s) = 0.20
a. less than $1.55?
P(x < 1.55)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.55 - 1.55) / 0.20 = 0
p(Z < 0) = 0.5 ( Z probability calculator)
b. between $1.15 and $1.95?
P(x < 1.15)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.15 - 1.55) / 0.20 = - 2
p(Z < - 2) = 0.02275 ( Z probability calculator)
P(x < 1.95)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.95 - 1.55) / 0.20 = 2
p(Z < - 2) = 0.97725 ( Z probability calculator)
0.97725 - 0.02275 = 0.9545
c. between $1.35 and $1.75?
P(x < 1.35)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.35 - 1.55) / 0.20 = - 1
p(Z < - 2) = 0.15866 ( Z probability calculator)
P(x < 1.75)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.75 - 1.55) / 0.20 = 1
p(Z < - 2) = 0.84134 ( Z probability calculator)
0.84134 - 0.15866 = 0.68268
d. between $0.95 and $1.55?
P(x < 0.95)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (0.95 - 1.55) / 0.20 = - 3
p(Z < - 3) = 0.0013499 ( Z probability calculator)
P(x < 1.55)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (1.55 - 1.55) / 0.20 = 0
p(Z < 0) = 0.5 ( Z probability calculator)
0.5 - 0.0013499 = 0.4986501
help- which of the following functions will produce the graph
Answer:
B
Step-by-step explanation:
y= -24/x²+8
y-int ( 0,-3
Right Triangle Trigonometry.
Answer:
D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Robert has 26 coins that are all nickels and dimes. The value of the coins is $1.85. How many of each does he have?
Answer:
he has 11 dimes and 15 nickels
Step-by-step explanation:
i kept going down reducing the amount of dimes and adding to the amount of nickels and found that 11 dimes is $1.10 and 15 nickels is $0.75
What is the solution to the equation represented by the model below?
x = negative 14
x = negative 2
x = 2
x = 14
Answer:
2x + 4
To model 2x+4, you need :
2 positive x-tiles to represent 2x.
4 positive unit tiles to represent 4.
3x+(-1)
To model 3x+(-1), you need :
3 positive x-tiles to represent 3x.
1 negative unit tile to represent (-1).
if its wrong sorry u can report me
need this done quick pls
Answer:
50 degrees
Step-by-step explanation:
40+50=130
130-180
50
Answer:
50
I have not done this in years!
Factor the polynomial expression 16y4 − 256x12.
Step-by-step explanation:
Using Difference of Squares,
16y⁴ - 256x¹²
= 16(y⁴ - 16x¹²)
= 16(y² + 4x⁶)(y² - 4x⁶)
= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).
Step-by-step explanation:
16y4-256×12=16.(y4-16×12)ewkrfmwekosdfgseargfaerfgaerfmwoegm :
Answer:
Ok thats really cool thanks :)
A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha
Complete Question
A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha 0.05
Answer:
The p-value is [tex]p-value =0.073614[/tex]
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
Step-by-step explanation:
From the question we are told that
The sample size of boys and girls is [tex]n_1= n_2 = n = 40[/tex]
The standard deviation is [tex]s_1= s_2 = s = 5[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The sample mean for boys is [tex]\= x_1 =66[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1 ^2 }{n_1} + \frac{s_2 ^2 }{n_1} } }[/tex]
=> [tex]z = \frac{66 -68 }{ \sqrt{\frac{5^2 }{40} + \frac{5 ^2 }{40} } }[/tex]
=> [tex]z = -1.789[/tex]
From the z table the area under the normal curve to the left corresponding to -1,789 is
[tex]P(Z < -.1789 ) = 0.036807[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P(Z < -.1789 )[/tex]
=> [tex]p-value = 2 * 0.036807[/tex]
=> [tex]p-value =0.073614[/tex]
From the values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
what is the slope, m, and the y-intercept of the line that is graphed below?
Answer:
m= 1; (0, 3)
Step-by-step explanation:
jus bc
{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not
Answer:
The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.
Domain: -3, -5, -6, -9, 0
Range: 7, -8, -1, -3
Is it a function? Yes
Determine the intercepts of the line. 3x + 12
Answer:
Step-by-step explanation:
y=−3x+12
when x=0 then y=12 , the y intercept is (0,12)
when y=0 then -3x+12=0, -3x=-12, x=12/3=4
x intercept =(4,0)
Cokes are on sale 4 for $14. What is the unit rate?
Answer:3.5
Step-by-step explanation:
All Uu have to do is JuSs divide .
Please answer this is the third time I will give brainliest
Find x and y, there is no given info, and the line that is 8 units long is not a midsegment, but it is parallel to the line that is ten units long
Answer:
y = 1.75
x = 1.25
Step-by-step explanation:
Since the triangles have equal angles, you can use ratios to solve for x and y.
For y:
[tex]\frac{8}{10} =\frac{7}{a} \\8a=70\\a=8.75[/tex]
Subtract 7 from a to find y.
y = 8.75 - 7
y = 1.75
For x:
[tex]\frac{8}{10} =\frac{5}{b} \\8b=50\\b=6.25[/tex]
Subtract 5 from b to find x.
x = 6.25 - 5
x = 1.25
Use the GCF and the Distributive Property to find the sum of 12 and 36.
Answer:
12(1+3)
Step-by-step explanation:
gcf: 12
12/12=1
36/12=3
Convert Repeating Decimal to Fraction
Convert the repeating decimal to a rational number.
ITEM BANK: Move to Bottom
4936/990
530/900
4311/9900
8099/990
674/990
0.4354 drag and din answer har
0.58 drag and drop wether
0.680 - drag and drop shower bord
4.985 - drag and drop antworten
8.180ding and dan wel
Step-by-step explanation:
0.345454...... = 4311/9900
0.5888..... = 530/900
0.68080..... = 674/990
4.98585..... = 4936/990
8.18080...... = 8099/990
A car travels 55 miles per hour for two hours. Complete the table. HELP 20 points!!!!!!!!!
Answer: If a car travels 55 miles per hour for 2 hours it will be 110 hour I guess
Step-by-step explanation: I think you want help here um I’m in 7th grade I don’t think I like this before but I can try to answer it, Is this h-help you
When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula, known as Boyle’s law
where P1 and V1 are the pressure (in atm) and the volume (in litres) at the beginning, and P2 and V2 are the pressure and the volume at the end. Find the final pressure P2 if V1 = 1.5 litres, P1 = 4.5 atm and V2 = 3.5 litres. Round to the nearest tenth of a atm.
Answer: Approximately 1.9 atm
============================================
Work Shown:
[tex]P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\[/tex]
If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.
Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.
-----------
As a check,
[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\[/tex]
We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.
A more accurate check could be
[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\[/tex]
which has the two sides much closer to one another. This helps us verify the answer.
What is the value of the expression below? 3x + (12 - 3) - x, when x = 2.5 A. 13 B. 14 C. 15 D. 19
Answer:
The answer to this question is: (B)
Which is "14"
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
HOPE this helped if so PLEASE leave a "Rating" and a "LIke" and PLEASE mark me brainliest if I have the best answer! THANKS! :))))
HELP PLEASE I REALLY NEED IT
Answer:
1.5
Step-by-step explanation:
Simplify 8 over negative 3 divided by negative 4 over 9.
−8
−6
6
8
Answer:
The answer is 6. Hope this helped :D
The following information is known about a loan.
Time = 7 years
Interest rate = 6%
Interest = $840.00
What was the principal on the loan?
Answer:
112.8
Step-by-step explanation:
840/7 which is 120 then you would want to multiply by 0.94 as you are adding back!
Answer:
principal of the loan is $2000
Step-by-step explanation:
use formula of simple interest i.e. S.I. = (P×R×T)/100
Here, S.I. is Simple Interest
P is Principal
R is Rate of Interest
T is Time
Assume that T is a linear transformation. Find the standard matrix of T. T: R^3 right arrow R^2 , T(e 1) =(1,2), and T(e2 ) =( -4,6), and T(e 3 ) =(2, -6), where e 1, e2 , and e 3 are the columns of the 3 x 3 identity matrix. A= (Type an integer or decimal for each matrix element.)
Answer:
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]T:R^3->R^2[/tex]
[tex]T(e_1) = (1,2)[/tex]
[tex]T(e_2) = (-4,6)[/tex]
[tex]T(e_3) = (2,-6)[/tex]
Required
Find the standard matrix
The standard matrix (A) is given by
[tex]Ax = T(x)[/tex]
Where
[tex]T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]
[tex]Ax = T(x)[/tex] becomes
[tex]Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]
The x on both sides cancel out; and, we're left with:
[tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]
Recall that:
[tex]T(e_1) = (1,2)[/tex]
[tex]T(e_2) = (-4,6)[/tex]
[tex]T(e_3) = (2,-6)[/tex]
In matrix:
[tex](a,b)[/tex] is represented as: [tex]\left[\begin{array}{c}a\\b\end{array}\right][/tex]
So:
[tex]T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right][/tex]
[tex]T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right][/tex]
[tex]T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right][/tex]
Substitute the above expressions in [tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Hence, the standard of the matrix A is:
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
5. The Hudson family went out to dinner. The meal cost $57.50. If they also left a 15% tip, approximately how much did the entire dinner cost?
A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.6748 centigrams 6.748 centigrams 67,480 centigrams 674,800 centigrams
Answer:
674,800
Step-by-step explanation:
Answer:
674,800
Step-by-step explanation:
I did the unit test on edge 2021
HELP PLEASE THIS IS DUE TODAY 50 POINTS
Answer:
the answer is x over -2 × 14
Answer:-2,2 -7,7 -14,14 0,0
Step-by-step explanation:im not really good at this but i tried and i oped it worked
a loan of 38000 is made of 3% interest, compounded annualy. after how many years will the amount due reach 49000 or more
Answer:
the time period is 9 years
Step-by-step explanation:
The computation of the number of years is as follows:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
$49,000 = $38,000 × (1 + 0.03)^number of years
$49,000 ÷ $38,000 = 1.03^number of years
tlog(1.03) = log($49 ÷ $38)
Now apply the log formula in calculator or in excel
t = log(49 ÷ 38) / log(1.03)
= 8.6
= 9 years
Hence, the time period is 9 years
Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride her bicycle in 2 minutes.
Answer: about 500
Step-by-step explanation:
Answer:
Step-by-step explanation:
800 meters
Can anyone solve this for me? If so please type the steps!
Answer:
It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest
Step-by-step explanation:
Answer:
I don't get it the two triangles look the same
Step-by-step explanation:
What is the solution to the following system of equations?
2x + 4y = 0
y = -1/2x
A. The ordered pair (0,0) is the solution.
B. The ordered pair (-1/2,0) is the solution.
C. There are an infinite number of solutions.
D. There is no solution.
If G(x)=5x-2, find G^-1(x).
A.-5x+2
B.(x+2)/5
C.(x/5)+2
Answer:
C.
Step-by-step explanation:
G(x) = 5x - 2
G^-1 = everything will become a fraction with one as the numerator and all negatives on the bottom become a positive constant.
G^-1(x) = (x/5) + 2