Answer:
The test statistics is [tex]z = 2.47[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 191 \ buses
The sample mean is [tex]\= x = 96 700 \ miles[/tex]
The population standard deviation is [tex]\sigma = 37 500 \ miles[/tex]
The null hypothesis is [tex]H_o : \mu = 90 000[/tex]
The alternative hypothesis is [tex]H_a : \mu > 90 000[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{96700 - 90 000 }{ \frac{37500}{\sqrt{191} } }[/tex]
=> [tex]z = 2.47[/tex]
Find the quotient and the remainder when you divide f ( x ) = x 3 + 2 x 2 + 4 x + 6 by x − 2
Answer:
x^2 + 4x + 12 + [tex]\frac{30}{x-2}[/tex]
Step-by-step explanation:
idrk how to explain this one and im on a computer so i cant take a picture of my work but just divide lol
divide like you would with normal division kinda lol
hope this helps <3
which fraction has an equivalent decimal value that repeats
Answer:
The answer is 2/3
Step-by-step explanation:
2/3 = 0.6666666666... with it repeating forever
Answer:
2/3
Step-by-step explanation:
The answer you selected is correct.
The decimal form of 2/3 is 0.66666666 (it repeats forever), unlike the other three:
3/4 = 0.75
4/5= 0.80
7/8= 0.875
100 Points and Brainliest to whoever helps me!
Answer:
thirsty
Step-by-step explanation:love pionts
Which number, when placed in the box, will make the equation true?
_^2 =square root of 64
Answer:
2.828 (the square root of 8)
Step-by-step explanation:
2.828 squared is 8, which is also the square root of 64
The value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a mathematical expression:
_² = √64
Let the missing number be x:
Then, the equation becomes:
x² = √64
√64 = √(8x8) = 8
x² = 8
The above equation represents a quadratic equation, Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
x = ±√8
x = ±2√2
Thus, the value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ5
__% of 80 is 40 what is the =
Can u solve this one attached below
Answer:
[tex]\angle 6, \angle 4[/tex]
Step-by-step explanation:
[tex]\angle 1\ and\ \angle 2\ are\ remote\ interior\ angles\ of\ \angle 6\ as\ they\ are\ opposite\ to\\ its\ linear\ pair\ \angle 3.\\\angle 2\ and\ \angle 3\ are\ remote\ interior\ angles\ of\ \angle 4\ as\ they\ are\ opposite\ to\\ its\ linear\ pair\ \angle 1.[/tex]
What is the area of this. Pls help.
Answer: 49cm squared *tiney 2 above cm*
Step-by-step explanation:
need help please, i don’t get it
This is the same as saying x = 3 and x = 7.
========================================
Work Shown:
Plug x = 3 into f(x)
f(x) = (1/2)*|x-3| + 3
f(3) = (1/2)*|3-3| + 3
f(3) = 0.5*|0| + 3
f(3) = 0.5*0 + 3
f(3) = 0 + 3
f(3) = 3
-----------------------
Plug x = 5 into f(x)
f(x) = (1/2)*|x-3| + 3
f(5) = (1/2)*|5-3| + 3
f(5) = 0.5*|2| + 3
f(5) = 0.5*2 + 3
f(5) = 1 + 3
f(5) = 4
-----------------------
Plug x = 7 into f(x)
f(x) = (1/2)*|x-3| + 3
f(7) = (1/2)*|7-3| + 3
f(7) = 0.5*|4| + 3
f(7) = 0.5*4 + 3
f(7) = 2 + 3
f(7) = 5
-----------------------
Plug x = 3 into g(x)
g(x) = sqrt(x-3) + 3
g(3) = sqrt(3-3) + 3
g(3) = sqrt(0) + 3
g(3) = 0 + 3
g(3) = 3
-----------------------
Plug x = 5 into g(x)
g(x) = sqrt(x-3) + 3
g(5) = sqrt(5-3) + 3
g(5) = sqrt(2) + 3
g(5) = 1.414214 + 3
g(5) = 4.414214 ..... which is approximate
-----------------------
Plug x = 7 into g(x)
g(x) = sqrt(x-3) + 3
g(7) = sqrt(7-3) + 3
g(7) = sqrt(4) + 3
g(7) = 2 + 3
g(7) = 5
-----------------------
To summarize everything, refer to the table below.
The rows highlighted in yellow refer to when f(x) = g(x)
This happens twice when x = 3 and x = 7
If x = 3, then f(x) = g(x) = 3
If x = 7, then f(x) = g(x) = 5
Therefore, x = 3 and x = 7 are two solutions to f(x) = g(x)
the number of ducks in a pond was 345. If 33 1/3% of the ducks flew away. how many were left
Answer: 230 ducks were left.
Step-by-step explanation:
Answer:
31 ducks
Step-by-step explanation:
345 ÷ 33 1/3% = ducks left.
345 ÷ 33 1/3% = approximately 31
So once solved, you can conclude that there are 31 ducks left in the pond.
6.
5. Add 29 and 35. Draw to show
the regrouping. What is the
sum?
Tens
Ones
la
OOOO
Answer:
c
Step-by-step explanation:
because i said so
1. David has $40 to spend at the state fair. The entrance fee is $15 and each
ride costs $1.25. Write an equation that best represents the situation. Then
solve to find out how many rides he can go on.
Answer:
let he takes x ride in total
1
$15 + 1.25x = $40
on solving
1.25x = 40 -15
1.25x=25
x=25/1.25 = 20
He can go on 20 rides.
Step-by-step explanation:
what is the angle of elevation to the nearest tenth of a degree to the top of a 35ft building from 75ft away?
Answer:25°
Step-by-step explanation:
tanθ= 35/72
CITIES: The distance between New York City, New York, and Boston, Massachusetts, is 187 miles, and the distance between New York City and
Hartford, Connecticut, is 97 miles. Hartford, Boston, and New York City form a triangle on a map. What must the distance between Boston and
Hartford be greater than?
Answer:
Greater than 90 miles
Step-by-step explanation:
Use the triangle inequality theorem, since the cities form a triangle.
This theorem states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.
We can find what the length of the third side has to be greater than by subtracting 97 from 187:
187 - 97
= 90
So, the distance has to be greater than 90 miles.
The two graduates with the greatest GPA from each of 14 randomly selected law schools were recruited to investigate a new method of preparation for a law exam. For each school, one student was randomly assigned to prepare using the standard method and the other student was assigned to prepare using the new method. At the end of the preparation, all 28 students were given the same exam, and their scores were recorded. Why can we conclude cause and effect from this type of study
Incomplete question. The missing question read;
Which of the following best describes why a matched-pairs design is an appropriate design for the investigation?
a. Each graduate was randomly assigned to one method.
b. The law schools were randomly selected.
c. Each method served as a block.
d. The sample size was less than 30.
e. Each law school served as a block, and the graduates were paired within each law school and randomly assigned to one of the two methods.
Answer:
e. Each law school served as a block, and the graduates were paired within each law school and randomly assigned to one of the two methods.
Step-by-step explanation:
Note, the matched pairs design is typically used when the experiment has two independent variables (treatment conditions), so the subjects of the experiment are grouped into pairs based on some common variable relationship they have before been randomly assigned to the treatment conditions.
In this case, the graduates were paired within each law school and randomly assigned to one of the two methods (the two treatment conditions).
need help I don’t understand this.
HELP ASAP! 100 POINTS + MARKED BRAINLIEST‼️‼️ WHATS THE ANSWER
Answer:
-4.834 / 73
Step-by-step explanation:
Two points: (2007, 84.134) and (2080, 79.300)
Use the slope formula.
m = y2-y1/x2-x1
m = 79.300 - 84.134 / 2080 - 2007
m = -4.834 / 73
Literal equations
Show work
Solve for x
-3(x + n) = x
Answer:
x=-3/4n
Step-by-step explanation:
first, remove the parenthesis.
-3(x + n) = x
-3x -3n = x
collect like terms.
-3x - x = 3n
divide both sides.
-4 = 3n
and therefore,
x= -3/4n
A textbook costs $65.49 before tax. The tax on the textbook is 6.5%.
What is the total cost of the textbook?
Round your answer to the nearest cent.
Enter your answer in the box.
Answer:
Step-by-step explanation:
the tax will cost
65.49*6.5=4.26
the total price of the book is
65.49+4.26=69.75
Answer:
70.74
Step-by-step explanation:
took the test (im in k-12) btw
<8 and <6 are ___________.
0443e860-aba2-49e1-952c-862061d9e91a?w=400&h=400
a
Same-side Interior Angles
b
Alternate Exterior Angles
c
Alternate Interior Angles
d
Corresponding Angles
100 POINTS AND BRAINLIST
Does anyone know how to do Polygons on the Coordinate Plane
I need your email
Answer:
You can use the coordinates of a figure to find its dimensions by finding the distance between two points. To find the distance between two points with the same x-coordinates, subtract their y-coordinates. To find the distance between two points with the same y-coordinates, subtract their x-coordinates.
Step-by-step explanation:
What is the range of the function y = |x| - 9 ?
Answer:
Step-by-step explanation:
The TV repairman charges $40 to come out to your house and check the TV
plus $25 per hour of labor. Write an equation to find the cost of repairing a TV.
Answer:
The equation to find the cost of repairing a TV is:
y = 25x + 40
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope or rate of change and b is the y-intercept
Given that the TV chairman charges $40 to come out to your house and check the TV plus $25 per hour of labor.
It means $40 is the y-intercept because it represents the starting point/condition of the repairman.
Let 'x' be the number of hours and y be the cost.
The rate of change = 25$ per hour of labor
The rate of change can also be termed as the slope.Thus, m = 25
Hence, the slope-intercept form of the line equation becomes
y = mx+b
substituting m = 25 and b=40
y = 25x + 40
Therefore, the equation to find the cost of repairing a TV is:
y = 25x + 40
Validation:
y = 25x + 40
putting x = 1 to determine the cost if labor works for 1 hour.
y = 25(1) + 40 = $65
putting x = 2 to determine the cost if labor works for 2 hours.
y = 25(2) + 40 = $95
Zachary earns $8.00 per hour. He get paid time and a half for any hours over 40 that he works in a week. If Zachary works 9 hours per day from Monday through Friday, what are his gross earnings for the week?
Answer:
27 bc he warms hard and should get a raise
Step-by-step explanation:
(a)
Percentage of girls in the school.
(c)
There are 1400 students in a school out of which 780 are girls, find the,
Number of boys in the school.
(b) Percentage of boys in the school.
Answer:
(a) Percentage of girls = 55[tex]\frac{5}{7}[/tex]
(b) Percentage of boys = 44[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
To find percentage, we multiply the fraction out of the total by 100%.
Percentage of girls = [tex]\frac{780}{1400}[/tex] × 100%
= 55[tex]\frac{5}{7}[/tex]
Percentage of boys = [tex]\frac{1400-780}{1400}[/tex] × 100%
= 44[tex]\frac{2}{7}[/tex]
Given sinθ = 2/5 and cosθ < 0:
1. Find cscθ
2. Find cotθ
Recall that
sin²(θ) + cos²(θ) = 1
for all θ, and given that cos(θ) < 0, we find that
cos(θ) = -√(1 - sin²(θ)) = -√(1 - (2/5)²) = -√(21)/5
Now,
csc(θ) = 1/sin(θ) = 1/(2/5) = 5/2
and
cot(θ) = cos(θ)/sin(θ) = (-√(21)/5)/(2/5) = -√(21)/2
What is the probability that a randomly chosen four-digit integer (no leading zeros) has distinct digits and ends with the digit 7? For example, 1237 qualifies for the event space but 1227 does not.
All of the possible answers are rounded to four decimal digits.
a. 0.3484
b. 0.0448
c. 0.0498
d. 0.0720
Answer:
c. 0.0498
Step-by-step explanation:
First of all, let us find the number of four digit numbers possible.
There are 4 digits and let us have a look at the possibility of each digit.
Number of possible options for Unit's digit = 10
Number of possible options for ten's digit = 10
Number of possible options for hundred's digit = 10
Number of possible options for thousand's digit = 9 (because 0 can not be there to make it a 4 digit number)
Total number of possible outcomes = [tex]10\times 10\times 10\times 9 = \bold{9000}[/tex]
As per the given condition, unit's digit is 7.
So, number of possible options for unit's digit = 1
Number of possible options for thousand's digit = 8 (7 and 0 can not be there to make it a 4 digit number)
Number of possible options for hundred's digit = 8 (7 and one digit used in thousand's place can not be there)
Number of possible options for ten's digit = 7 (7, two digits used at thousand's and hundred's places)
Number of possible outcomes as per given conditions = [tex]1\times 8\times 8\times 7 = \bold{448}[/tex]
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(E) = \dfrac{448}{9000} =\bold{0.0498}[/tex]
what is the absolute value of the product of all the integers from -6 to 3inclusive
This product involves zero. So, you don't have to bother and compute all the factor, because if you multiply anything by zero you get zero.
Which distance measurement is the most precise?
A. 10 kilometers
B. 2.54 centimeters
C. 100 meters
D. 26.3 miles
Answer:
B
seems to be the most precise. I don't know what it means by precise but B is the lucky guess
Out of 40 students in class 8,20% were absent.How many students were present?
Answer:
32 students were present.
Step-by-step explanation:
To find out how many students were present in class 8, we have to find out how many students were absent first.
As the question has already provided us, the number of students who are absent would be [tex]40 \cdot 20\%[/tex], which equals to [tex]40 \cdot \frac{20}{100}[/tex] which is 8 students in total who were absent in class 8.
Now that we have found out how many students were absent, simply subtract the number of students who were absent from the total number of students in class 8, which is (40 - 8) = 32 students, and you have the number of students that were present: 32.
Hope this helped!
I did not do as good as I hoped on my math model :(
Answer:
you're going to get an A
Step-by-step explanation:
.............