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]
what is the answer to the question 1 plus the number 1
Answer:
2
Step-by-step explanation:
1 +1 = 2
A dozen plain hats cost $3.60. What is the unit rate of a hat? Write your answer as a comparison statement.
These are for exams please answer quick!!
Answer:0.3
Step-by-step explanation:
3.60/12=0.3
Find the value of x if DE is a midsegment.
B
D
26
х
A
E
C
Answer:
my names emily too!!!!
Step-by-step explanation:
Read the information below and answer the questions. Suppose a researcher wants to learn more about the mean attention span of individuals in some hypothetical population. The researcher cites that the attention span (the time in minutes attending to some task) in this population is normally distributed with the following characteristics: 20 36 . Based on the parameters given in this example, answer the following questions: 1. What is the population mean (μ)?
Answer:
The population mean (μ) = 26.
Step-by-step explanation:
a) Data and Calculations:
The population characteristics = 20 and 36
Total population of interest = 56 (20 + 36)
Number of groups in the population = 2
Therefore, the population mean (μ) = 56/2 = 28
b) Based on the parameters given in this example, the population mean equals the average of the group characteristic (attention span of individuals in minutes) or item of interest. The population mean is calculated by adding the values of the group characteristic and then dividing the result by the number of values.
Which of the following correctly describes the end behavior of the polynomial
function, f(x) = -3x4 +2x2 - x?
HELPPPPPP ASAAP
Answer:
A. Both ends go down.
General Formulas and Concepts:
Algebra II
End behavior - what the y-values are approaching as x approaches negative infinity or infinityStep-by-step explanation:
If we graph the function, we can see that when x goes to -∞, y also goes to -∞.
We also see that when x goes to ∞, y still goes to -∞.
Therefore, both ends of the graph would head towards -∞, making A. the correct answer choice.
Answer:Both ends go down
Step-by-step explanation:
how far is 10% of a 2000 kilometer trip
Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a function for the volume V of the tray in terms of x
Answer:
you can use the same type of power to make it easier
It takes you 1 minute 40 seconds to walk 550 feet. What is your average speed?
Answer:
5.5 feet per second or 330 feet per minute
Step-by-step explanation:
550/100 seconds = 5.5 feet per second
5.5 x 60 = 330 feet per minute
Answer:
3.75 mph (miles per hour)
(i finally got the right answer, ignore my comment, i am so sorry it was wrong T_T)
William’s car used 2 gallons to travel 68 miles. How far can he travel on 9 gallons?
Answer:
306 miles
Step-by-step explanation:
68 / 2 = 34 miles on one tank of gas
34 x 9 = 306 miles
Sean bought a new sweatshirt that cost $78.00. If tax is 11% how much will Sean pay in total for the sweater?
.
Patti went to the bakery. she bought a loaf of bread for 3.49, 6 muffins that cost 1.25 each, and a bottle of juice for 1.75. she gave the cashier a 20$ bill
how much should Patti receive? write equations to show ur work
!HELLp NoW! Asap
Answer:
$ 7.26
Step-by-step explanation:
You're welcome :)
Help me please please
Answer:
2.94
Step-by-step explanation:
the clue is in the question, just times the numbers together
What is the domain of this function?
-1>2 3>6 5>8
A (2, 6, 8)
B. (2, 6, 8,3, 5)
C. (-1,3, 5)
D. (3)
It's Letter C. 1 3 and 5
that's the domain
3
Lauren bikes
5
4
miles in
7
hours. How long does it take her to travel one mile?
Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of multiple-choice questions because they are easy to grade using software. If one such multiple choice question has possible correct answers of a, b, c, d, e, what is the probability of a wrong answer if the answer is a random guess
Answer:
4/5
Step-by-step explanation:
Given that:
Number of options = a, b, c, d, e
Number of correct answer choice = 1
Therefore, number of wrong answers = 4
Recall :
Probability = (number required outcome / number of total possible outcomes)
P(wrong answer) :
Number of Required outcome = number of wrong answer choices = 4
Total answers = 5
Hence,
P(wrong answer) = 4 / 5 = 0.8
please help
/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .
3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take
Answer:
The answers are:
15.523 liters of petrol will be used.The cost of petrol will be: 2156.2 penceThe journey will take 3 hours and 16 minutes approximatelyStep-by-step explanation:
Given:
Distance of Hotel and car = 163 miles
Distance travelled by car per liter = 10.5 miles
The number of liters will be obtained by dividing the total distance by distance travelled in one liter.
So,
[tex]number\ of\ liters = \frac{163}{10.5} = 15.523\ liters[/tex]
2. Cost for petrol:
Cost of petrol per liter = 138.9 pence per liter
Then the total cost of petrol will be:
[tex]Total\ cost = 138.9*15.523 = 2156.1447 => 2156.2\ pences[/tex]
3. Time taken for journey
Distance travelled in an hour = speed = 50 miles per hour.
The speed is given by the formula:
[tex]speed = \frac{distance}{time}[/tex]
Putting the values
[tex]50 = \frac{163}{t}\\t = \frac{163}{50}\\t = 3.26\ hours[/tex]
It will take: 3 hours and 0.26*60 = 15.6 minutes => 3 hours 16 minutes
Hence,
The answers are:
15.523 liters of petrol will be used.The cost of petrol will be: 2156.2 penceThe journey will take 3 hours and 16 minutes approximatelyGary's pay is $15 per hour. He receives a 6% pay raise.
Which method can Gary use to correctly calculate his new hourly pay rate?
Choose Yes or No for each method.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The calculation can be done by any method that adds 6% of the original salary to the original salary. That's equivalent to multiplying the original salary by 1.06 or 106%. The attachment shows some possibilities.
Answer:
_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_
Step-by-step explanation:
Horatio bought a new bicycle on layaway. He made a $45 initial payment to the
bike shop, and then agreed to pay $10 each week until the bike was paid for. Which
equation represents the relationship between x, the number of weekly payments,
and y, the total amount paid to the bike shop?
Answer:
100
Step-by-step explanation:
5x+2=7x-4 what is x and if you can how you did it
Answer:
x=3
Step-by-step explanation:
2 = 7x−4−5x
2 = 2x−4
2+4 = 2x
6 = 2x
[tex]\frac{6}{2}[/tex] = x
3 = x
x = 3
what is the answer for this( 7 3 x ∛27 - 2) x 1 5 + √81
Answer:
5208
Step-by-step explanation:
(73 x ³√27 - 2) x 15 + √81
(73 x 3 - 2) x 15 + 9
(219 - 2) x 24
217 x 24
5208
30 points On a certain hole, a golfer knows that he has a 70% chance of reaching the green (putting surface) in one stroke, 20% in two strokes, 8% in three, and 2% in four or more. If he reaches the green on his first stroke, he has an 80% chance of putting the golf ball in the cup on his second stroke. If he does not reach the green on his first stroke, then he has a 30% chance of putting the golf ball in the cup on his second stroke. What is the probability that the golfer will reach the green in one stroke and put the ball in the cup on his second stroke?
0.09
0.21
0.56
0.80
Answer:
.56
Step-by-step explanation:
Any help please I appreciate it thank you on 1 and 2 plzzzz!!!
Answer:
1. angle Y, angle XYZ, and angle ZYX
2. angle PQR, angle SQR, and angle PQS
Step-by-step explanation:
1. The 3 ways to name the given angle are:
✔️The use of an alphabet of the vertex: angle Y
✔️The use of the three alphabets can be named in two ways with the middle alphabet representing the vertex:
angle XYZ
angle ZYX
2. The three different angle in the diagram consist of two adjacent angles that share the same side: angle PQR and angle SQR,
and the bigger angle that sums up the two internal angles, which is angle PQS
What is the least common denominator of 1/2,2/3 and 3/8 OA) 48 OB) 24 O C) 16 OD) 12 plz help me
Answer:
24
Step-by-step explanation:
The required least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.
What is the least common denominator?The least common denominator has a defined factor that is least common among the factors of the denominator is called the least common denominator.
Here,
Rewrite each fraction with the least common denominator (LCD) of 24 by multiplying both the numerator and denominator by the appropriate factor:
1/2 = (1/2) * (12/12) = 12/24
2/3 = (2/3) * (8/8) = 16/24
3/8 = (3/8) * (3/3) = 9/24
Check that the fractions have the same denominator:
12/24, 16/24, and 9/24
Therefore, the least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.
Learn more about the least common denominator here: https://brainly.com/question/11221202
#SPJ7
if f(x)=2x and g(x)=5x, what is f(g(x)) when x=3
Answer:
30
Step-by-step explanation:
First: f(3)=2(3) is 3F=6, divide by 3 on each side and F=2.
Second g(3)=5(3) is 3G=15, divide by 3 on each side and G=5.
Finally, f(g)(x) is (2)(5)(3) = 10x3 = 30.
The value of the function f ( g ( x ) ) when x = 3 is 30
What is Composition of functions?
Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that
h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be f (x ) = 2x
Let the second function g ( x ) = 5x
Now ,
The composite function is of the form f ( g ( x ) ) ,
So assign the value of x in f ( x ) as x = g ( x )
And , g ( x ) = 5x
So , the composite function will be
f ( 5x ) = 2 ( 5x )
= 10x
Now , when x = 3
f ( g ( 3 ) ) = 10 x 3
= 30
Therefore , the value of f ( g ( 3 ) ) is 30
Hence , the value of the function f ( g ( x ) ) when x = 3 is 30
To learn more about composite functions click :
https://brainly.com/question/17673639
#SPJ6
5/6=1/3+d
Thank you for the help and have a good day :)
Answer:
d = 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5/6 = 1/3 + d
Step 2: Solve for d
Subtract 1/3 on both sides: 5/6 - 1/3 = dRewrite fraction: 5/6 - 2/6 = dSubtract: 3/6 = dSimplify: 1/2 = dRewrite: d = 1/2Find the area of the curve y= f(x) = x between x = 5 and x = 10
Answer:
the area of the curve y= f(x) = x between x = 5 and x = 10
[tex]A=\frac{75}{2}[/tex]
Step-by-step explanation:
Finding the area of the curve y = f(x) = x between x = 5 and x = 10Using the Area formula
[tex]A=\int _a^b\:f\left(x\right)dx[/tex]
As the area of curve lies between x = 5 and x = 10
so
a = 5, b = 10so the integral expression becomes
[tex]A=\int _5^{10}xdx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5[/tex]
[tex]=\left[\frac{x^2}{2}\right]^{10}_5[/tex]
[tex]=\frac{1}{2}\left[10^2-5^2\right][/tex]
[tex]=\frac{1}{2}\cdot \:75[/tex]
[tex]=\frac{75}{2}[/tex]
Therefore, area of the curve y= f(x) = x between x = 5 and x = 10
[tex]A=\frac{75}{2}[/tex]
A number is multiplied by 2, and then the product is added to 9. The result is 49
Answer:
the answer would be twenty
Step-by-step explanation:
20x2=40 +9=49
49=49
Bill conducts a study during which he compares two, independent groups and he gets a significance value of .16 (i.e., p=.16). He looks at the means of the groups and sees the Group 1 Mean is 70 and the Group 2 mean is 77. He concludes they are different. (a) Why is Bill wrong? (b) What exactly does his p-value mean, in this instance?
Answer:
P-value is a parameter to compare with the significance level in order to make decisions about rejecting or not the hypothesis
Step-by-step explanation:
When you are developing a hypothesis test, in order to compare two means ( μ₁ and μ₂ ) you have two hypothesis
Null Hypothesis H₀ μ₁ = μ₂
And depending on the problem statement, the alternative hypothesis could be
Alternative Hypothesis Hₐ (1) μ₁ > μ₂
(2) μ₁ < μ₂
(3) μ₁ ≠ μ₂
Now if the result of the test determines that H₀ is rejected you accept in case
(1) μ₁ > μ₂
(2) μ₁ > μ₂
(3) μ₁ ≠ μ₂
In any case, you need a confidence Interval, and as consequence you established a significance level to do your test. These two concept defines the acceptance and the rejection region. Just for instance
CI = 90% means that the acceptance region is 90 %, and at the same time, the rejection area is 10 %. That 10 % will be used as follows,
Case 1 you are developing a one tail-test to the left ( side of the curve )
Case 2 you are developing a one tail-test to the right
Case 3 you are developing a two-tail test ( in that case you need to split α into two equal areas one for each tail.
Now P-value is a tool for decision is an area that you can compare with α to accept or reject H₀.
In our particular case suppose we are testing
H₀ μ₁ = μ₂
Hₐ μ₁ < μ₂
Let´s say CI = 95 then α = 5 % α = 0,05
And we get P-value = 0,16
Then area 0,16 > 0,05 Then we are in the acceptance region
(that condition really implies that z(s) < z(c)
The difference between two-thirds of a number and 4 is –92.
Answer:
The difference between 4 is –92 is 132
Answer:
Given - The difference between two- third of a no. and 4 is (-92)
Let the no. be X
TO Find - The no.
Solution -
Let the no. be X
Two - third of a no. = 3/2x
according to the question equation made is-
2/3x - 4 = (-92)
2/3x = (-92)+ (4)
2/3x = ( -88)
X = (-88) × 3/2
X= ( -264/2)
X = (-132)
Leah and Dan are trying to prove that the triangles below are congruent. Leah says they are congruent by the AAS congruence criteria, while Dan says they are congruent by the ASA congruence criteria. Who is correct? Explain.
