Testing the hypothesis, we have that:
The null hypothesis is [tex]H_0: \mu = 5.67[/tex]The alternative hypothesis is: [tex]H_1: \mu \neq 5.67[/tex]The p-value of the test is of 0.002252.The p-value is 0.002252 < 0.01, which means that the final conclusion is that the mean weight of quarts made after 1960 is different than 5.67g.At the null hypothesis, we test if the mean is of 5.670g, that is:
[tex]H_0: \mu = 5.67[/tex]
At the alternative hypothesis, we test if the mean is different of 5.670g, that is:
[tex]H_1: \mu \neq 5.67[/tex]
The test statistic is t = -3.276, with the number of degrees of freedom given by:
[tex]df = n - 1 = 39 - 1 = 38[/tex]
The p-value is found using a t-distribution calculator, using a two-tailed test(as the alternative hypothesis is that the mean is different from the value), with t = -3.276 and 38 df. This p-value is of 0.002252.
The p-value is 0.002252 < 0.01, which means that the final conclusion is that the mean weight of quarts made after 1960 is different than 5.67g.
A similar problem is given at https://brainly.com/question/24146681
Which is the best definition of coefficient?
A letter that represents an unknown value.
O A number that itinultiplied by a variable.
Operations that "undo" each other.
O A fixed value that does not change.
Answer:
A number multiplied by a variable.
Step-by-step explanation:
For example, 4 is a coefficient.
[tex]4x[/tex]
Jim drove 175 miles in 3 hours 30 minutes.
How many miles per hour did Jim drive?
Answer:
50 miles per hour
Step-by-step explanation:
50 x 3 = 150
50 x 0.50 = 25
150 + 25 = 175
Hope this helps!
The number of miles that Jim can drive in each hour will be 50 miles.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
Jim drove 175 miles in 3 hours and 30 minutes. Convert the time into hours, then we have
Time = 3 + 30 / 60
Time = 3.5 hours
The number of miles that Jim can drive is calculated as,
⇒ 175 / 3.5
⇒ 50 miles per hour
More about the speed link is given below.
https://brainly.com/question/7359669
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how do you solve the following equation?
10-s=34
Answer:
-24
Step-by-step explanation:
10-s=34
collect like terms
10-34=s
s=-24
26-14-(-6)+(-7)-11
Please help
Answer:
0
Step-by-step explanation:
G
E
M
D
A
S
26 - 14 - (-6) + (-7) - 11
26 - 14 = 12
12 - (-6) + (-7) - 11
12 - 1 = 11
11 - 11 = 0
Hello can some one please help me
Answer:
1
Step-by-step explanation:
This one once learned is clapz. Anything to the zero power is 1. ;)
Will mark brainlist
Simplify. 3/2(x+3/4)−(x+1)
5/2x+17/8
12x+17/8
1/2x+1/8
Answer:
1/2x=+1/8
2
x+
1
8
Step-by-step explanation:
Help help pelesse please
Answer:
450
Step-by-step explanation:
9×50=450
have a good day
Subtract 8 1/5 - 4 2/5
. Simplify the answer and write as a mixed number.
Answer:
3 4/5
Step-by-step explanation:
Determine the unknown angle measures in the figure
Answer:
angle 3- 131
angle 2- 112
angle 5- 37
angle 1- 80
angle 4- 80
hope this helps :)- please crown me brainliest!!!
Step-by-step explanation:
<2 ( exterior angle ) , and exterior angle is the sum of two opposite interior angle;<2=63°+49°= 112°.
<5= 180°-31°-112°= 37°<1+<5+63°= 180° = <1=180°-63°-37°= 80°<1=<4(vertically opposite angle) = 80°.<3+49°=180°(linear pair) = <3= 180°-49°= 131°.hope this helps you.
The shape to the left shows an unfolded cube if the cube is folded and rolled what are all the possible outcomes are they all equally likely?
PLZ HELP
Answer:a
Step-by-step explanation:
A
Identify the unit rate in the graph.
A) 40 mph
B) 75 mph
C) 50 mph
D) 25 mph
C)50mph
speed= distance÷time
so ....
we find how much 25 miles took therefore we do
25÷0.5
which is
=50
Hope this helped you, have a good day bro cya)
Answer:
fast
Step-by-step explanation:
historical definition
Italian physicist Galileo Galilei is usually credited with being the first to measure speed by considering the distance covered and the time it takes. Galileo defined speed as the distance covered per unit of time.[3] In equation form, that is
{\displaystyle v={\frac {d}{t}},}v={\frac {d}{t}},
where {\displaystyle v}v is speed, {\displaystyle d}d is distance, and {\displaystyle t}t is time. A cyclist who covers 30 metres in a time of 2 seconds, for example, has a speed of 15 metres per second. Objects in motion often have variations in speed (a car might travel along a street at 50 km/h, slow to 0 km/h, and then reach 30 km/h).
Instantaneous speed
Speed at some instant, or assumed constant during a very short period of time, is called instantaneous speed. By looking at a speedometer, one can read the instantaneous speed of a car at any instant.[3] A car travelling at 50 km/h generally goes for less than one hour at a constant speed, but if it did go at that speed for a full hour, it would travel 50 km. If the vehicle continued at that speed for half an hour, it would cover half that distance (25 km). If it continued for only one minute, it would cover about 833 m.
In mathematical terms, the instantaneous speed {\displaystyle v}v is defined as the magnitude of the instantaneous velocity {\displaystyle {\boldsymbol {v}}}{\boldsymbol {v}}, that is, the derivative of the position {\displaystyle {\boldsymbol {r}}}{\boldsymbol {r}} with respect to time:[2][4]
{\displaystyle v=\left|{\boldsymbol {v}}\right|=\left|{\dot {\boldsymbol {r}}}\right|=\left|{\frac {d{\boldsymbol {r}}}{dt}}\right|\,.}v=\left|{\boldsymbol v}\right|=\left|{\dot {{\boldsymbol r}}}\right|=\left|{\frac {d{\boldsymbol r}}{dt}}\right|\,.
If {\displaystyle s}s is the length of the path (also known as the distance) travelled until time {\displaystyle t}t, the speed equals the time derivative of {\displaystyle s}s:[2]
{\displaystyle v={\frac {ds}{dt}}.}v={\frac {ds}{dt}}.
In the special case where the velocity is constant (that is, constant speed in a straight line), this can be simplified to {\displaystyle v=s/t}v=s/t. The average speed over a finite time interval is the total distance travelled divided by the time duration.
Average speed
Different from instantaneous speed, average speed is defined as the total distance covered divided by the time interval. For example, if a distance of 80 kilometres is driven in 1 hour, the average speed is 80 kilometres per hour. Likewise, if 320 kilometres are travelled in 4 hours, the average speed is also 80 kilometres per hour. When a distance in kilometres (km) is divided by a time in hours (h), the result is in kilometres per hour (km/h).
Average speed does not describe the speed variations that may have taken place during shorter time intervals (as it is the entire distance covered divided by the total time of travel), and so average speed is often quite different from a value of instantaneous speed.[3] If the average speed and the time of travel are known, the distance travelled can be calculated by rearranging the definition to
{\displaystyle d={\boldsymbol {\bar {v}}}t\,.}d={\boldsymbol {{\bar {v}}}}t\,.
Using this equation for an average speed of 80 kilometres per hour on a 4-hour trip, the distance covered is found to be 320 kilometres.
Expressed in graphical language, the slope of a tangent line at any point of a distance-time graph is the instantaneous speed at this point, while the slope of a chord line of the same graph is the average speed during the time interval covered by the chord. Average speed of an object is Vav = s÷t
Difference between speed and velocity
Speed denotes only how fast an object is moving, whereas velocity describes both how fast and in which direction the object is moving.[5] If a car is said to travel at 60 km/h, its speed has been specified. However, if the car is said to move at 60 km/h to the north, its velocity has now been specified.
The big difference can be discerned when considering movement around a circle. When something moves in a circular path and returns to its starting point, its average velocity is zero, but its average speed is found by dividing the circumference of the circle by the time taken to move around the circle. This is because the average velocity is calculated by considering only the displacement between the starting and end points, whereas the average speed considers only the total distance travelled.
11) How many 1/16's are in 3/4?
Answer:
12/16 is the equivilant of 3/4 so it is 12 1/16's
Step-by-step explanation:
Dominic jumped from a height of 14.3 feet above the surface of a pool. He traveled 18.7 feet straight down into the water. From there he traveled up 25.55 feet to the top of the biggest water slide at the pool. What is the height of the tallest waterslide?
Answer:
21.15 ft
Step-by-step explanation:
18.7 - 14.3 = 4.4 = pool depth
25.55-4.4 = 21.15 = slide height
Answer:
The height of the tallest water slide is 58.55 feet.
Step-by-step explanation:
To find the height of the tallest waterslide, we need to add the height from the surface of the pool to the point where Dominic reached before going down the water slide and the height of the water slide itself.
Dominic jumped from a height of 14.3 feet above the surface of the pool and traveled 18.7 feet straight down into the water, so his total distance from the surface of the pool to the point where he started going up the water slide is:
14.3 feet + 18.7 feet = 33 feet
From there, he traveled up 25.55 feet to the top of the water slide, so the height of the tallest water slide is:
33 feet + 25.55 feet = 58.55 feet
Therefore, the height of the tallest water slide is 58.55 feet.
find the measure of the missing angels
Answer:
45
Step-by-step explanation:
First add the angles given: 85+50=135
Since all the angles of a triangle combined have to equal 180, you can subtract it from 180.
180-135=45
So your answer would be 45.
Hope this helps :)
what's the square of 5
Answer :
square of 5 is 25 .
A kayak rental pavilion charges $15.00 per hour and $2.50 for a brief lesson on kayak safety. The total cost y to rent the kayak for x hours is given by y = 15x + 2.5. Interpret the slope and y-intercept.
Answer:
Step-by-step explanation:
Write the equation of the line in slope-intercept form. The line is parallel to y+x=3 and passes through the point (−12, 0).
y = -x + 3
y = -(x + 12)
y = -x - 12
If 96 of the 224 participants in club activities are residents, what is the ratio of nonresidents to residents who participate in club activities? Write the ratio in lowest terms as a fraction or with a colon.
Pls help a girl out
Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle with vertices ( 0 , 0 ) , ( 1 , 0 ) , and ( 0 , 8 ) around the y -axis.
The exact volume of a general Cone is [tex]\frac{8\pi}{3}[/tex]
To solve this problem, we will make use of the second theorem of Pappus. This theorem is concerned with finding the volume produced when a plane shape is rotated around an axis ( the volume of the solid of revolution ).
The theorem states:
The volume of a solid of revolution obtained by rotating a lamina F (the triangle) about a non-intersecting axis (the y-axis) lying in the same plane is equal to the product of the area A of the lamina F and the distance d traveled by the centroid of F.
That is
[tex]V=A\times d[/tex]
When the centroid travels, it forms a circumference d given by,
[tex]d=2\pi r[/tex]
Therefore
[tex]V=A\times 2\pi r[/tex]
From the diagram below,
The vertices (or, corners) of the triangle are A(0, 0), B(1, 0), and C(0,8).
G is the centroid of the triangle. The centroid of the triangle is the geometric center of the triangle. The centroid would be the balance point if a pin were to be used to balance the triangle.
r is the distance from the centroid to the axis of rotation ( the y-axis in this case). It is like saying the radius of rotation.
The things we need to find are A (the Area) and r.
Calculate A:
[tex]A=\frac{1}{2} \left| \Delta \right|[/tex]
[tex]\Delta = \left|\begin{array}{cc} x_{B}-x_{A} & y_{B}-y_{A} \\ x_{C}-x_{A} &y_{C}-y_{A}\end{array}\right|= \left|\begin{array}{cc} 1-0 & 0-0 \\ 0-0 & 8-0\end{array}\right|= \left|\begin{array}{cc} 1 & 0 \\ 0 & 8\end{array}\right|[/tex]
[tex]\Delta =8\times 1 -0\times 0=8[/tex]
[tex]A=\frac{1}{2} \left|8\right|=\frac{1}{2}\times 8=4[/tex]
Calculate r:
[tex]r=\overline{x}=\frac{x_A+x_B+x_C}{3}=\frac{0+1+0}{3}=\frac{1}{3}[/tex]
Finally, Calculate the volume, V:
[tex]V=A\times 2\pi r=4 \times2\pi\times\frac{1}{3}=\frac{8\pi}{3}[/tex]
Learn more about centroids: https://brainly.com/question/20305516
Provide the missing statement and reasons for the following proof:
Answer:
I need more points
the picture is very blurry
Watch help video
Christian is driving on a long road trip. He currently has 12 gallons of gas in his car.
Each hour that he drives, his car uses up 1.25 gallons of gas. How much gas would be
in the tank after driving for 6 hours? How much gas would be left after t hours?
Gas left after 6 hours:
Gas left after t hours:
Submit Answer
attempt 1 out of 2 / problem 1 out of max 1
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Answer:
Gas left after 6 hours: 4.5 gallons
Step-by-step explanation:
multiply 1.25 by 6 which will be 7.50
then subtract 7.50 from 12 which will be 4.50
i think :)
what is the mean of the frequency distribution?
Answer:
[tex]mean = \frac{ \sum \: xf}{n} \\ \frac{(27 \times 2) + (28 \times 4) + (29 \times 3) + (31 \times 5) + (33 \times 6)}{(2 + 4 + 3 + 5 + 6)} [/tex]
The table shows grade levels and heights of 6 students.
1
2
Grade
3
4
5
6
46
48
51
53
Height (in.)
56
59
Choose the correct item in each drop-down menu to complete the sentences.
Choose..
Choose...
The data shows
causation
correlation. The data
Answer:
its positive corelation and doesnt show causation
Step-by-step explanation:
Answer:
its positive correlation and cannot show causation
Step-by-step explanation:
What is the value of x and y? Question 6 options: x = 40 , y = 40 x = 8, y = 20 x = 8 , y = 40 x = 40, y = 20
Answer:
the triangle is isosceles triangle. so, the two angles of the same side are equal.
(5x)°=40°
x = 40/5
x = 8
40° +40°+(2y+20)°=180°
80 + 2y +20 =180°
100° +2y =180°
180°-100°=2y
80° = 2y
80°/2= y
40 = y
What is cos(317)? explain how I would get that solution without using a calculator please. Correct answer gets BRAINLIEST!!
Answer:
Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV
In the fourth quadrant, the values for cos are positive only.
317 is an obtuse angle since it is greater than 90°
cos(317) = 0.73135369730756
Step-by-step explanation:
how is the radius and area of a circle proportional
Answer:
The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.
Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius. Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2
Step-by-step explanation:
In the equation 3x=36+9 what is the next step in the equation solving sequence
Answer:
First step: Combine like terms, Answer: [tex]x=15[/tex]
Step-by-step explanation:
First, we need the variable on the left side and constants on the right.
So, we combine like terms to get [tex]3x=36+9=45[/tex].
Then, we can divide both sides by [tex]3[/tex] to isolate the variable and get [tex]\boxed{x=15}[/tex].
find the distance between the points
a)(-1,4,3)and(2,2,-3)
Answer:
a) point a start with negative but point b) start with positive
Estimate to decide if the sum of 314+175 is more or less than 600?
Answer:
less than
Step-by-step explanation:
314+175= 489 round that it would be 500 so it would be less than 600
Please mark me brainliest
Hello there!
The sum of 314 and 175 = 489.
If we round it, we will get 500.
500 is less than 600.
So the sum of 314+175 is less than 600.
Hope this helps you!
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[tex]GraceRosalia[/tex]
The value of 1x10 when x = -2, can be
written in simplest form as a36, where
a=
and b=
DONE
Answer 8
Step-by-step explanation: