Answer:
D. [tex]H_{0}[/tex] : μ = 1.70, [tex]H_{a}[/tex] : μ > 1.70
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis
The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
The sum of two numbers is 37 and the difference is 15 . What are the numbers?
the first number is 11 and the second one is 26
Answer:
this is the answer with the working
Find the 5th term of the sequence defined by the give rule. f(n) = n²+ 5. A step by step explanation with answer would be greatly helpful.
Answer:
The 5th term is 30Step-by-step explanation:
Given the formula
f(n) = n² + 5
where n is the number of terms
So from the question we were told to find the 5th term that's
n = 5
In order to find the 5th term substitute the value of n that's 5 into the rule
We have
f(5) = 5² + 5
= 25 + 5
= 30
f(5) = 30So the 5th term of the sequence in the given rule is 30
Hope this helps you
Please answer this correctly without making mistakes
Answer:
1.2 miles
Step-by-step explanation:
5.3 - 4.1 = 1.2 miles
Answer:
1.2 milesStep-by-step explanation:
5.3 - 4.1 = 1.2
1.2 miles difference.
This is because from Washington to Lanberry it is 4.1 miles. From Washington to Newberry it is 5.3., SO, if you subtract it you will get 1.2 miles difference.
Hope this helped,
kavitha
The second drop down menu on each question includes options: decimal place(s) or significant figure(s)
Answers:
A. 1 Decimal Place 92.2B. 4 Decimal Places 1.8164Step-by-step explanation:
I solved the problem.
I'm always happy to help :)Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool? Round your answer to the nearest hundredth.
Answer:
18.97 units
Step-by-step explanation:
Assume that the pool looks like the diagram below.
The pool consists of two equal right triangles.
We know that AB = CD = 3.16.
1. Find the length of the pool
AD = BC, and we can use Pythagoras' Theorem to calculate AD.
AB² + AD² = BD²
3.16² + AD² = 7.07²
9.986 + AD² = 48.98
AD² = 48.98 - 9.986 = 40.00
AD = 6.324
2. Find the perimeter of the pool
P = AB + BC + CD + DA =3.16 + 6.324 + 3.16 + 6.324 = 18.97
Alex will need 18.97 units of tile to surround the pool.
Alex will need 13.42 units of tile to surround his pool.
A coordinate plane with quadrilateral ABCD at A (0,3), B (2,4), C (4,0), and D (2,-1).
How to find the boundary of the pool?To find the units of tiles that are needed to surround the pool ABCD with a single line of tiles is equal to the perimeter of the rectangle
Perimeter of the rectangle = 2 length+2 width
In the figure, the width is given as 2.24 units and the diagonal is 5 units.
So we can find the length using the Pythagorean theorem, which is c²=a²+b².
Now, 5²=(2.24)²+b²
b=4.47 units
Now, the perimeter of the pool will be 2 (4.47)+2 (2.24)
= 8.94 + 4.48
The perimeter of the rectangle = 13.42 units
Thus, Alex will need 13.42 units of tile to surround his pool.
To learn more about the perimeter of the rectangle visit:
https://brainly.com/question/15287805.
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Which choice is equivalent to 4 square root 8
Answer:
A
Step-by-step explanation:
............................ ....
he numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set. 2, 10, 15, 3, 13, 9, 14, 7, 2, 9 The range is nothing.
Answer:
Range = 13
Mean = 8.4
Variance= 21.24
Standard deviation= 4.61
Step-by-step explanation:
2, 10, 15, 3, 13, 9, 14, 7, 2, 9
For the range
Let the set of data be arranged inn ascending order
Range= higehest value- lowest value
Range = 15-2
Range= 13
For the mean
Mean = (2+2+3+7+9+9+10+13+14+15)/10
Mean = 84/10
Mean = 8.4
For variance
Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10
Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10
Variance= 212.4/10
Variance= 21.24
Standard deviation= √variance
Standard deviation= √21.24
Standard deviation= 4.609
Approximately = 4.61
Paul Revere had to travel 3.5 miles to Boston from Charlestown by boat. From Charlestown to Lexington he was able to ride a horse that traveled at a rate of 1/8 mile per minute. His total distance traveled y is the sum of the distance to Charlestown and the distance from Charlestown to Lexington. Write a linear equation that could be used to find the distance y Paul Revere traveled in x minutes
Answer:
y = 3.5 + (1/8)x
Step-by-step explanation:
Speed is the ratio of total distance traveled to the total time taken. It is given by the formula:
Speed = distance / time.
The distance Paul Revere traveled from Charlestown to Boston is 3.5 miles.
Paul Revere also traveled from Boston to Lexington by horse at a rate of 1/8 mile per minute. If he traveled for x minutes, the distance covered can be gotten by:
Speed = distance / time
1/8 = distance / x
distance = (1/8)x miles.
y = sum of the distance to Charlestown and the distance from Charlestown to Lexington
y = 3.5 + (1/8)x
[PLEASE HELP] in the function above, the slope of it will be multiplied by -4, and it’s y value of the y intercept will be decreased by only 1 units, which of these following graphs best represent the new function???
Answer:
Z (The one on the bottom right)
Step-by-step explanation:
You said that the y intercept goes down by 1 unit which makes only W and Z possible.
The slope is 1/2 and if you multiply that by -4 the new slope is -2 which means the change in y is -2 every time the change in x is 1. Which perfectly fits Z and if you have any questions please ask me with the comments!
I need help with this !!
Answer:
A
Step-by-step explanation:
When subtracting 7 on the left of the equation, he also needs to subtract 7 from the right of the equation.
Step 2 should be:
⅓X +7 -7= 15 -7
What he is trying to do here by subtracting 7 is to move all the constants, that is numbers without any variables such as x, to one side of the equation.
⅓X= 8
X= 8 ×3
X= 24
A point P has coordinates (-5, 4). What are its new coordinates after reflecting
point Pover the y-axis?
A. (-5, -4)
B. (-5, 4)
C. (5, 4)
D. (5, -4)
Answer:
C(5, 4)
Step-by-step explanation:
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Answer:
(5, 4)
Step-by-step explanation:
when you reflect off the y-axis, you switch (x,y) to (-x,y)
So
(-5, 4) --> (5, 4)
Hope this helps,
Feel free to ask more questions if I need to explain more.
ATV sports commentator claims that 40% of all baseball
injuries are knee injuries. Assuming that this claim is true,
what is the probability that in a game with 5 reported injuries:
(use calculator)
a. None are knee injuries?
b. All are knee injuries?
c. At least three are knee injuries?
d. No more than 2 are knee injuries?
(03.03)
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answer:
Your answer is -3.5 which lies between -4 and -3.
The point R is halfway between the integers on the number line below and represents the number -3.5 .
URGENT!! A product of the rational expression?
Whats the input value of f(x)=2x+5
Answer:
x
Step-by-step explanation:
f(x)=2x+5
Input: x
Output: f(x)
For i.e:
Input: 1
Output: f(1) = 2(1) + 5 = 2 + 5 = 7
in the life of a car engine, calculatedin miles, is normally distributed, with a mean of 17,000 miels and a standard deviation of 16,500 miles, what should be the guarantee period if the company wants less than 2% of the engines to fail while under warranty g
Answer:
the guarantee period should be less than 136010 miles
Step-by-step explanation:
From the given information;
Let consider Y to be the life of a car engine
with a mean μ = 170000
and a standard deviation σ = 16500
The objective is to determine what should be the guarantee period T if the company wants less than 2% of the engines to fail.
i.e
P(Y < T ) < 0.02
For the variable of z ; we have:
[tex]z = \dfrac{x - \mu }{\sigma}[/tex]
[tex]z = \dfrac{x - 170000 }{16500}[/tex]
Now;
[tex]P(Y < T ) = P( Z < \dfrac{T- 170000}{16500})[/tex]
[tex]P( Z < \dfrac{T- 170000}{16500})< 0.02[/tex]
From Z table ;
At P(Z < -2.06) ≅ 0.0197 which is close to 0.02
[tex]\dfrac{T- 170000}{16500}<- 2.06[/tex]
[tex]{T- 170000}<- 2.06({16500})[/tex]
[tex]{T- 170000}< - 33990[/tex]
[tex]{T}< - 33990+ 170000[/tex]
[tex]{T}<136010[/tex]
Thus; the guarantee period should be less than 136010 miles
20
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement
in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
Answer:
[tex]m=12f[/tex]
Step-by-step explanation:
The measurement in inches =m
The measurement in feet = f
We are told that: m varies directly with f
Written mathematically:
[tex]m\propto f[/tex]
Introducing the constant of variation, we have:
[tex]m=k f[/tex]
Given that: k=12
The equation relating these two quantities is:
[tex]m=12f[/tex]
The container that hold the water for the football team is 1/5 full after pouring in 13 gallons of water, it is 7/10 full how many gallons can the container hold
Answer:
100% = 65 Gallons; 70% = 45.5 Gallons
Step-by-step explanation:
The important piece of information here is that 13 gallons of water makes the container 1/5 of the way full, aka 20%. If the question is simply, how many gallons will it hold, then we multiply 13 by 5 to get 100% at 65 gallons. To get the amount held at 7/10, or 70%, we simply multiply 65 with 7/10 to get 45.5 gallons.
Cheers.
A couch sells for $820. Instead of paying the total amount at the time of purchase, the same couch can be bought by paying $400 down and $60 per month for 12 months. How much is saved by paying the total amount at the time of purchase?
Answer:
$300
Step-by-step explanation:
The couch is sold in two ways; outright payment or installment payment.
Outright payment would cost = $820
Installment payment = down payment + monthly charges
Down payment = $400
Monthly charges for a period of one year (12 months) = 12 × $60
= $720
Installment payment would cost = $400 + $720
= $1120
Amount saved by paying total amount at the time of purchase = $1120 - $820
= $300
Thus, the outright buying the couch would save $300.
Help please, this is annoying lol
Answer:
Cost=x25+200
Step-by-step explanation:
The amount of people is unknown but each person the cost will be $25 for refreshments per each passenger; the limo cost $200 once you figure out how many people will go to prom x will be, EXAMPLE: x=6 times $25 plus $200 which will give you the cost.
The floor of a room is 8m 96cm long and 6m 72cm broad. Find the maximum dimension of a square tile
of the same size needed to cover the entire floor.
What is the range of the function f(x)=3/4|x|-3
Range is [tex]y\in[-3,+\infty)[/tex].
Hope this helps.
Of 10 girls in a class, three have blue eyes. Two of the girls are chosen at random. Find the probability that: (a) both have blue eyes; (c) at least one has blue eyes; (b) neither has blue eyes; (d) exactly one has blue eyes.
Answer:
C.
Step-by-step explanation:
It's the most reasonable answer.
find the slope (7,1)(5,0)
Answer:
1/2x
Step-by-step explanation:
To find the slope of a line with only 2 points we use the following formula.
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],
So we fill it in with the following points,
(7,1)
(5,0)
0 is y2 and 1 is y1 0-1 = -1
5-7 = -2
Slope: 1/2
Thus,
the slope of the line is 1/2.
Hope this helps :)
Two points on line p have
coordinates (2, 1) and (5, 3).
The slope of the line is?
A. 2
B. 3/2
C. 1
D. 2/3
E. 4
Answer:
D. 2/3Step-by-step explanation:
[tex](2, 1) (5, 3)\\x_1 =2 \\y_1 =1\\x_2=5\\y_2 =3\\m =\frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{3-1}{5-2} \\\\m = 2/3[/tex]
A family paid $28,500 as a down payment for a home. If this represents 15% of the price of the home, what is the price of the home.
Answer:
.15* house price = 28,500
house price = 28,500 / .15
house price = 190,000
Step-by-step explanation:
Answer: 190,000
Step-by-step explanation:
the equation looks like this - .15x=28,500. then you divide both sides by .15 and get x=190,000
In a circle with a radius of 8ft an arc is intercepted by a central angle of 135 degrees. What is the length of the arc?
A: 6.28 ft
B: 9.42 ft
C: 18.84 ft
D: 28.26 ft
Greetings from Brasil...
We know that the entire length of a circle its:
C = 2πR
C = 2π8
C= 16π circumference length
now rule of 3:
length º
16π --------- 360
X --------- 135
360X = 135 · 16π
X = 2160π/360
X = 6π or 18,84Tamara was asked to write an example of a linear functional relationship. She wrote this example: My babysitting service charges an initial $5.00 fee plus an additional $6.50 per hour. Complete the table below to show the babysitting rate for different numbers of total hours. Then write a linear equation in the form y=mx+b that represents this relationship where m is the slope and b is the y-intercept. Use the on-screen keyboard to type your answers in the boxes below. Total Hours 1 $
2 $
3 $
4 $
Answer:
Hours Charge
1 y = 6.5(1) + 5 = $11.5
2 y = 6.5(2) + 5 = $18
3 y = 6.5(3) + 5 = $24.5
4 y = 6.5(4) + 5 = $31
Step-by-step explanation:
In an equation y=mx+b, we can interpret the intercept b as the value of the initial charge and the slope m as the additional charge per hour. So, we can formulate the following equation:
y = 6.5x + 5
Where x is the hours and y are the charges for the babysitting, so, we can fill the table as:
Hours Charge
1 y = 6.5(1) + 5 = $11.5
2 y = 6.5(2) + 5 = $18
3 y = 6.5(3) + 5 = $24.5
4 y = 6.5(4) + 5 = $31
The answer should be like
Hours Charge
1 y = 6.5(1) + 5 = $11.5
2 y = 6.5(2) + 5 = $18
3 y = 6.5(3) + 5 = $24.5
4 y = 6.5(4) + 5 = $31
Calculation of the number of hours:Since we know that the equation should be in the form of
y = mx + b
So, here
y = 6.5x + 5
Here x is the hours and y are the charges for the babysitting.
So, the table be like
Hours Charge
1 y = 6.5(1) + 5 = $11.5
2 y = 6.5(2) + 5 = $18
3 y = 6.5(3) + 5 = $24.5
4 y = 6.5(4) + 5 = $31
Learn more about hours here: https://brainly.com/question/17091264
The minimum point on the graph of the equation y = f(x) is (-1, -3). What is the minimum point
on the graph of the equation y = f(x – 5)?
Answer:
(4, -3)
Step-by-step explanation:
the equation f(x-5) is a translation of the equation f(x) by 5 units to the right.
So, if all points of the equation f(x) are shifted 5 units to the right, the minimum point of the graph is also shifted 5 units to the right, so to find the minimum point of y = f(x - 5), we just need to sum 5 units to the x-coordinate:
Minimum point = (-1 + 5, -3) = (4, -3)
So the minimum point of y = f(x - 5) is (4, -3).
The minimum point on the graph of y = f(x - 5) is (-6,3)
On the graph of the equation y = f(x);
The minimum point is given as (-1,-3)
The graph of y = f(x - 5) means that, f(x) is shifted to the right by 5 units
So, the corresponding point of (x,y) of f(x) on the graph of f(x - 5) is:
[tex](x,y) \to (x - 5,y)[/tex]
This gives
[tex](-1,-3) \to (-1 - 5,3)[/tex]
Subtract 5 from -1
[tex](-1,-3) \to (-6,3)[/tex]
Hence, the minimum point on the graph of y = f(x - 5) is (-6,3)
Read more about translation at:
https://brainly.com/question/17721227
What is the image of the point by (-5,3) under a 270 rotation about the point (-7,-3)
Step-by-step explanation:
here, the given point is (-7,-3)
now, by the formula,
p(x,y)= p-1 (-y+a+b,x-a+b) ( p-1 is p das)
p(-5,3)= p-1 (-13,-1) is answer.
hope it helps..