The braking ability of two types of automobiles was compared. Random samples of 64 auto mobiles were tested for each type. The recorded measurement was the distance required to stop when the brakes were applied at 40 miles per hour. The computed sample means and variances were as follows:
y¯¯¯1=118,y¯¯¯2=109 s21=102,s22=87
. Do the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles? Give the attained significance level.
Answer:
The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
Step-by-step explanation:
Formulate the null and alternate hypothesis as
H0: u1= u2 against the claim Ha: u1≠ u2
The data given is
y`1=118, y`2=109 s21=102, s22=87
The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2
n1= n2= 64
And
Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2
Sp² = 63*102+6*87/64+64-2
Sp² = 94.5
Sp= 9.7211
Putting the values in the test statistic
t= 118-108/9.7211√1/64+1/64
t= 5.237
Now finding the value of t at ∝=0.01 for two tailed test
t( 126,0.005)= ±2.6154
At alpha= 0.01 the null hypothesis is rejected.
Now finding the value of t at ∝=0.05 for two tailed test
t( 126,0.025)= ±1.979
Even at alpha= 0.05 the null hypothesis is rejected.
Also at alpha= 0.05 the null hypothesis is rejected because the critical value is ±1.657
Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles
Angle Relationships
When solving for x, the sine of 44° is used. What other angle and trigonometric function could be used to solve for x?
a. tan 46°
b. cos 46°
c. tan 44°
d. cos 44°
Please select the best answer from choices provided
Answer:
B. cos 46°
Step-by-step explanation:
I calculated it logically
Answer:
b. cos 46
Step-by-step explanation:
There are three angles to choose from since there are three angles in a triangle. Of these, the 90° angle can't be used (90° angles don't work with trigonometric ratios), and neither can the 44° (we're told to use a different one from this), so we're left with the unmarked angle on the bottom right. Since the angles in a triangle add to 180, and the other two angles total 134 (90+44=134), we can say this angle is 46°.
Since cos46 is our only option that involves this angle (and since cos46=x/9), this is the option which could be used to find x.
Write an equation of the circle with center (3,-2) and radius 11.
let h= 3, k=-2
radius (r) = 11 ,then
(x-h)^2 + ( y-k)^2 = r^2
(x-3)^2 + ( y+2)^2 = 11^2
x^2 -6x +9 + y^2 +4y +4 = 121
x^2 + y^2 - 6x +4y -108 = 0 is the required eq
kira´s best distance in the long jump is 3 7/10 meters.
Which decimal is equivalent to 3 7/10?
help me pleaseee
Answer:
3.7
Step-by-step explanation:
ANSWER THIS ASAP NO FILE AT ATT!! THIS MY LAST QUESTION JUST GET IT RIGHT PLEASE
Answer:
I believe the answer is A
Answer:
A is your answer I think
Step-by-step explanation:
maybe wait for someone else to answer as well haha
CAN SOMEONE PLEASE HELP ME :(
Answer:
Step-by-step explanation:
d
803.84 rounded to the nearest tenth?
Answer: 800
Step-by-step explanation:
Help me out with this please!
No links to websites other than Brainly.
Problem 1
Answers:
It costs 1.72 dollars to send a letter that is 1.5 ounces
It costs 1.72 dollars to send a letter that is 2 ounces
In short, both answers are 1.72 dollars
--------------------------------
Explanation:
The piecewise function may seem really ugly and complicated, and I can understand why many don't like them, but they aren't too bad once you get used to it.
A piecewise function is simply a collection of many functions glued together. Instead of listing four different functions, your teacher has combined them all into one super function of sorts.
Here are the rules for this function
If [tex]0 < w \le 1[/tex], then F(w) = 1.15If [tex]1 < w \le 2[/tex], then F(w) = 1.72If [tex]2 < w \le 3[/tex], then F(w) = 2.29If [tex]3 < w \le 3.5[/tex], then F(w) = 2.86As you can see, the definition of F(w) will change depending on what w is.
If the weight is w = 1.5 ounces, then we're on the interval [tex]1 < w \le 2[/tex] since 1.5 is between 1 and 2. So we go for the second definition shown above and we conclude that it will cost $1.72 to send this 1.5 ounce letter.
If you wanted, you could rewrite those four bulleted points into this equivalent form
If [tex]0 < w \le 1[/tex], then the cost is $1.15 to send the letterIf [tex]1 < w \le 2[/tex], then the cost is $1.72 to send the letterIf [tex]2 < w \le 3[/tex], then the cost is $2.29 to send the letterIf [tex]2 < w \le 3.5[/tex], then the cost is $2.86 to send the letterwhich is a less mathematical way of stating it. It might also help to make it into a chart, which would help customers better who may not want to deal with math.
A letter that's 2 ounces will cost $1.72 as well since w = 2 makes [tex]1 < w \le 2[/tex] true.
In short, both the 1.5 ounce and 2 ounce letters cost $1.72 each.
===========================================================
Problem 2
Answer: The graph is shown below (attached image)
--------------------------------
Explanation:
We have what is called a step function, or a staircase function. Either name will work. The graph consists of the horizontal portion of the stairs, but the vertical parts of the stairs are not drawn (or else we wouldn't have a function due to the vertical line test).
Note the placement of the open and closed endpoints. An open endpoint excludes the value in question, while a closed endpoint includes the value.
For instance, we have an open endpoint at (1, 1.72) while there's a closed endpoint at (1, 1.15). Each closed endpoint is directly connected to the "or equal to" portion of the inequality sign, and each open endpoint does not have the "or equal to" portion.
As the graph shows, we basically have the a certain flat cost for the four different regions. This corresponds to the costs given in the piecewise function. Each height is drawn from the list {1.15, 1.72, 2.29, 2.86}
The point labels of A,B,C,D,E,F,G,H are optional. I only put them in there to help identify which endpoints are open or closed. Points on the left side of each segment, or horizontal stair component, are open endpoints. Points on the right side are closed endpoints.
Someone help ASAP I REALLY NEED HELP
Answer:
10 i think
Step-by-step explanation:
because 20+10+10=40
Answer:
70
Step-by-step explanation:
Let the claire pointa be x then
Mean = Sameson X / N
40= 20+30+x/3
40×3=50+x
120-50=x
Therefore x=70
Find the total surface area of the solid below. Round your answer to the nearest tenth.
x= 11.6, y = 6.3, and z = 15.5
Answer:
494.16 units²
Step-by-step explanation:
Total surface area of the solid = 4(area of a triangular face) + area of the square base
Area of a triangular face = ½*b*h
b = x = 11.6
h = z = 15.5
Area = ½*11.6*15.5 = 89.9 units²
Area of the four triangular faces = 4(89.9) = 359.6 units²
Area of the square base = s²
s = x = 11.6
Area = 11.6²
Area = 134.56 units²
✔️Total surface area of the solid = 359.6 + 134.56 = 494.16 units²
What is the result of performing these steps?
1. Draw a line segment with endpoints A and B. 2. Draw point Canywhere
above AB
3. Fold the paper through C so AB lies on top of itself.
4. Fold the paper through C so that the fold line from Step 3 lies on top of
itself.
5. Draw a line segment from C to any point along the second fold.
answer choices:
A. The perpendicular bisector of AB
B. A line segment perpendicular to AB
C. A line segment parallel to AB
D. A bisected angle
Which data set would be numerical?
Eye color
Kinds of pets
Age
Favorite food
Help plz no links unhelpful answers will get reported use formulas plz. I'm being gneerous
Answer:
what's the question?? I b.d ont get it
Solve the equation 2032 * 93 equals?
Answer:
188976
Step-by-step explanation:
2032 x 93 = 188976
Q8 Find the missing angle x and measurement of JLK
Answer:
Step-by-step explanation:
we know ∠K is 90° by Thales theorem
then
180 = 90 + 4x-1 + 4x -5
96 = 8x
12 = x
x = 12
∠JLk = 4(12)-1
∠JLk = 47°
A stores revenue is the function y = 150x where x is the number of items they sell. Its cost function is
y = 7x + 2200 where x is the number of items they sell. How many items do they have to sell to break-
even? Show how to solve this using inverses and not the table on your calculator.
NO LINKS TO FILES OR ANYTHING LIKE THAT.
9514 1404 393
Answer:
about 15 or 16 items
Step-by-step explanation:
The break-even point is where revenue is equal to cost.
150x = 7x +2200
143x = 2200 . . . . . . . subtract 7x
x ≈ 15.38 . . . . . . . . . . divide by 143 (multiply by the inverse of 143)
__
When 15 items are sold, revenue doesn't quite cover costs. Costs still exceed revenue by 55. When 16 items are sold, revenue exceeds costs by 95. (I would call this the break-even point, because I prefer a slight profit over a slight loss.)
Find the slope between the pair of points (1,-3) and (2,3)
what property is occurring in the following example? 11.5 + (- 11.5) = 0
A- Commutative
B- Associative
C- Addictive Inverse
D- Distributive Property
PLEASE I NEED ANSWERS!!
Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
Step-by-step explanation:
A property where sum of any number and its inverse is equal to zero is called additive inverse property.
For example, 11.5 + (-11.5) = 0
Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.
Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
What is the answer please tell me
Answer:
45 cm²
Step-by-step explanation:
Area of polygon = Area of square + (area of triangle)
= (side * side) + (1 / 2 * bh)
= 5*5 + (1 / 2 * 5 * 8)
= 25 + (20)
= 25 + 20
= 45 cm²
I NEED HELP ASAP
IGNORE THIS TEXT: Ali wants to buy a car that costs $8,000. One option is to use a monthly payment plan. Her monthly payments would be $143.75 over 5 years. The second option is to pay the $8,000 at the time of purchase. About how much more will Ali pay using the monthly payment plan than paying the $8,000 at the time of purchase?
Answer:
He would be paying 625 extra if he paid monthly.
Step-by-step explanation:
143.75 x 12(5) = 8,625.
Answer:
Help I need HELP FAST I give brainliest.
IGNORE THIS TEXT: Which graph shows this solution set? y is greater than negative 2 and y is less than or equal to 2Answer options with 5 optionsA.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are filled in circles. Between negative 2 and positive 2, the number line is shaded. B.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are open circles. Between negative 2 and positive 2, the number line is shaded. C.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. Between negative 2 and positive 2, the number line is shaded. D.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. The number line is shaded to the left of negative 2 and to the right of positive 2. E.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is filled in circle. At positive 2, there is an open circle. The number line is shaded to the left of negative 2 and to the right of positive 2.
The selling price of a bicycle that had sold for $55,000 last year increased by 15%. What is the new price?
Answer:
$ 63,250
Step-by-step explanation:
55,000 x 0.15 = 8,250
55,000 + 8,250 = 63,250
Answer:
$63,250
Step-by-step explanation:
To find the percentage of 55,000, multiply 55,000 x 0.15, giving you 8,250. Add this to 55,000 to get 63,250 dollars :)
what is 2/5 times 30 equal in simplets form
Answer:
2/5 times 30 equals 12.
Answer:Step-by-step explanation:
Find the surface area of the box with dimensions 125mm×64mm×84mm to the nearest mm?
Answer:
hi
Step-by-step explanation:
you should eat more sushi because it will help you digest food better! just letting you know to help you and make you feel healthy!
xoxo
Based on the information in the graph, in which month do 24% of the students have a birthday?
Answer:
23
Step-by-step explanation:
Help me with Perpendicular angles
Answer:
x = 50°
x = 70°
Step-by-step explanation:
A right angle is indicated by a small box.
The angles shown are right angles = 90° each. Therefore:
✔️x + 40° = 90°
Subtract 40° from each side
x = 90° - 40°
x = 50°
✔️x + 20° = 90°
Subtract 20° from each side
x = 90° - 20°
x = 70°
The ratio of parrots to cats in the pet store is 5 to 20. If there are 4 parrots
how many cats are there?
A. 16
B. 1
C. 20
D. 25
Answer:
A. 16
Step-by-step explanation:
The plumber charged Mrs. Evans $225.00 for materials and $35.00 an hour for labor to fix her leaky sink. The total bill came to $347.50. How many hours did it take the plumber to fix the sink?
Answer:
3.5 or 3[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
First, subtract. 347.50 - 225.00 = 122.50
Then, divide. 122.50 ÷ 35 = 3.5
Next, you can turn the decimal into a fraction 3[tex]\frac{1}{2}[/tex]
Lastly, have a wonderful day! :)
Name the diagonal segment in the figure.
Answer: 1 is a quadrilateral. I’m very sorry I don’t know the second shape.
Step-by-step explanation: a quadrilateral has 4 sides and two triangles.
predict the next number in the table. cycle: 1,2,3,4,5. people told: 1,3,9,27,?
Fitness can be measured by the rate of oxygen consumption during exercises with more fit people having higher rates. Unfortunately, this measurement is quite costly to obtain, and so an experiment was done to see if this measurement could be predicted from the time it takes (in minutes) to run 1500 m. The following computer output was obtained. Which of the following is NOT CORRECT?
a. For every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
b. The fitted regression line is approximately Y = 82.42(runtime)
c. A person who runs 1500 m in 10 minutes would have an estimated oxygen consumption rate of about 50.
d. There is good evidence that there is a relationship between oxygen consumption and the run time.
e. The slope is 82.42.
Answer:
b. The fitted regression line is approximately Y = 82.42(runtime)
Step-by-step explanation:
The regression line is Y= aX + b
here b= 82.42 a = -3.31
Hence the regression equation is
Y= 82.42- 3.31 X
where x is the runtime and the slope is given by b.
Option a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
Option b is incorrect because the runtime is not given by Y it is given by X.
Option C is correct as
Y= 82.42-3.31*10
Y= 82.42-33.1
Y= 49.32 almost 50
Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.
Option e is also correct because the slope is given by b and b= 82.42