Answer:
a) Acceleration = 2.4 m per seconds²
b) Distance traveled = 132 m
Step-by-step explanation:
a). Acceleration of an object is defined by the equation,
v = u + at
Here, v = Final speed
u = Initial speed
a = Acceleration
t = Duration Or time
From the graph attached,
Between t = 0 and t = 5 seconds,
v = 12 meter per second
u = 0
t = 5 seconds
B substituting values in the equation,
12 = 0 + a(5)
a = [tex]\frac{12}{5}[/tex]
a = 2.4 m per seconds²
b). Equation representing distance traveled by an object,
v² = u² + 2as
Here, v = Final speed
u = Initial speed
a = Acceleration
s = Distance traveled
By substituting these values in the given equation,
1). Between t = 0 to t = 5 seconds,
(12)² = 0 + 2(2.4)s
s = [tex]\frac{144}{4.8}[/tex]
s = 30 m
2). Between t = 5 to t = 12 sec
Car moved with a constant speed (Acceleration = 0)
Distance traveled = Speed × Time
= 12 × 7
= 84 m
3). Acceleration of the car between t = 12 sec to t = 15 sec
By substituting the values in the equation,
v = u - at
0 = 12 - a(3)
a = 4 meter per seconds²
Distance traveled in this duration,
v² = u² - 2as
0 = (12)² - 2(4)s
144 = 8s
s = [tex]\frac{144}{8}[/tex]
s = 18 m
Therefore, total distance covered by the car = 30 + 84 + 18
= 132 meters
Complete the table to find the MAD of the data set.
Answer:
15
Step-by-step explanation:
Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?
Answer:
48
Step-by-step explanation:
One dozen is 12.
12 x 4 = 48
Find the midpoint of the segment with the following endpoints
(-8, 9) and (0, 1)
Answer:
(-4,5)
x-midpoint -4
y-midpoint 5
Step-by-step explanation:
M=x1+x2/2 ,y1+y2/2
M=-8+0/2 , 9+1/2
M=-8/2,10/2
M=-4,5
x-midpoint -4
y-midpoint 5
Find the length of the missing side
Answer:
it should be 40 in.
Step-by-step explanation:
because you have to use pythagorean theorem which is A square plus B square equals C square
Hope it helps.
Question 6
2 pts
Charlotte invested $100 per year into a business for 3 years. The total value of her
investment after 3 years is represented by the algebraic expression below, where x is the
growth in value each year.
100 (x3 + x2 + x)
What is the total value of her investment when x = 2?
O $6400
O $1200
O $600
O $1400
What is the value of x in the solution to this system of equations?
5x+2y=67x=3y−7
Answer:
x=4/29, y=77/29
Step-by-step explanation:
Hi help me out thank youu love
Answer:
636
Step-by-step explanation:
SA=2LW+2LH+2WH
SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636
Answer:
The answer is 636
Step-by-step explanation:
Brainliest maybe?
:)
Find the value of x. Round the length to the nearest tenth of a unit.
Please help!
Answer:
take 40 degree as reference angle
using tan rule
tan 40 =p/b
0.83=900/x
0.83x=900
x=900/0.83
x=1084.33
x=1084.3(after rounding off to the nearest tenth)
Step-by-step explanation:
Please help me answer this ASAP!
Answer: z=25 x=114
Step-by-step explanation:
If the rate , in gallons per minute , continues , approximately how many gallons of water from the hose in 45 minutes ?
Please do help
The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation rates of their athletes. At one large university, 91% of all students who started their studies in 2000-2010 graduated within 6 years. A sports reporter contacted 152 athletes randomly sampled from that same university and time period and found that 132 of them had graduated within 6 years.
(a) (5 points) Perform the appropriate hypothesis test to determine whether this is significant evidence that the percentage of athletes who graduate is less than for the student population at large, using the significance level a = 0.05. Remember for state the null and alternative hypotheses, the decision rule, and your conclusion.
(b) (3 points) Calculate the P-value for this test. Explain how this P-value can be use to test the hypotheses in part (a).
Answer:
a)
The null hypothesis is [tex]H_0: p = 0.91[/tex].
The alternate hypothesis is [tex]H_1: p < 0.91[/tex].
The decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].
Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.
b)
The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.
Step-by-step explanation:
Question a:
Perform the appropriate hypothesis test to determine whether this is significant evidence that the percentage of athletes who graduate is less than for the student population at large:
At the null hypothesis, we test if the proportion is the same as the student population, of 91%. Thus:
[tex]H_0: p = 0.91[/tex]
At the alternate hypothesis, we test that the proportion for athletes is less than 91%, that is:
[tex]H_1: p < 0.91[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Test if the proportion is less at the 0.05 level:
The critical value is z with a p-value of 0.05, that is, z = -1.645. Thus, the decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].
0.91 is tested at the null hypothesis:
This means that [tex]\mu = 0.91, \sigma = \sqrt{0.91*0.09}[/tex]
A sports reporter contacted 152 athletes randomly sampled from that same university and time period and found that 132 of them had graduated within 6 years.
This means that [tex]n = 152, X = \frac{132}{152} = 0.8684[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.8684 - 0.91}{\frac{\sqrt{0.91*0.09}}{\sqrt{152}}}[/tex]
[tex]z = -1.79[/tex]
Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.
(b) (3 points) Calculate the P-value for this test. Explain how this P-value can be use to test the hypotheses in part (a).
The p-value of the test is the probability of finding a sample proportion of 0.8684 or below. This is the p-value of z = -1.79.
Looking a the z-table, z = -1.79 has a p-value of 0.0367.
The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.
It takes 2 minutes to fill a tank with 16 gallons of gasoline.
Answer:
and the question is...
Step-by-step explanation:
764 divided by 23 =
A. 33
B. 37 R13
C. 741
D. 33 R5
Answer:
the answer is 33
Step-by-step explanation: Trust me don't worry :)
lemme explain, im a middle schooler and my school just jumped into this with no explanation.
Answer:
the first question is c
Step-by-step explanation:
2 x pi x the radius
2 x 3.14 x 8
In a recent international sport competition, the top three countries—Country A, Country B, and Country C—won a total of 124 medals. Country B won 13 more medals than Country C. Country A won 34 more medals than the total amount won by the other two. How many medals did each of the top three countries win?
Answer:
Country A won 79 medals, country B won 29 medals and country C won 16 medals.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
Country A won x medals.
Country B won y medals.
Country C won z medals.
Total of 124 medals:
This means that [tex]x + y + z = 124[/tex].
Country B won 13 more medals than Country C.
This means that [tex]y = z + 13[/tex]
Country A won 34 more medals than the total amount won by the other two.
This means that:
[tex]x - (y + z) = 34[/tex]
From the first equation, we have that:
[tex]y + z = 124 - x[/tex]
So
[tex]x - (y + z) = 34[/tex]
[tex]x - (124 - x) = 34[/tex]
[tex]2x - 124 = 34[/tex]
[tex]2x = 158[/tex]
[tex]x = \frac{158}{2}[/tex]
[tex]x = 79[/tex]
Finding z:
Since [tex]x = 79, y = z + 13[/tex]
[tex]x + y + z = 124[/tex]
[tex]79 + z + 13 + z = 124[/tex]
[tex]2z + 92 = 124[/tex]
[tex]2z = 32[/tex]
[tex]z = \frac{32}{2} = 16[/tex]
Finding y:
[tex]y = z + 13 = 16 + 13 = 29[/tex]
Country A won 79 medals, country B won 29 medals and country C won 16 medals.
im so confused someone help please x
Answer:
a) 32 , 40000 b) to a rising in age correspond a rising in salary , c) because you can draw a curve(or a brach of hyperbola) that goes up. i guess(?)
Step-by-step explanation:
Why did the physiocrats oppose mercantilism?
The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Answer:
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Can you help me with this, please? Thanks in advance
Answer:
∠TRU is supplementary with ∠PQS as SQ║TR.
Supplementary angles add up to 180°.
m∠TRU = 180° - 82° = 98°Consider ΔRTU
∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:
m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°<TRU
180-<PQS180-8298°Sum of 2 interiors =exterior
<RTU
155-9857°Help me?!?!?! Giving brainliest
Name the special segment.
Answer:
Perpendicular bisector
Step-by-step explanation:
Have a great day!!
A box, containing 25 bolts and 25 washers, has a mass of 475 g. Another box, containing 17 bolts and 34 washers, has a mass of 442 g. Determine the mass of one bolt and the mass of one washer
Answer:
bolts=12g and washers=7 g
Step-by-step explanation:
honestly, i tried to solve this by hand and made an error somewhere, but i set up two equations, then tried to use elimintation to solve for one variable. but in the end i went to my trusty calculator and created a matrix, then used the rref math to solve. sorry i couldnt be of more help
What is 1 4/7 + 1/8 ?
Answer:
[tex]\frac{95}{56}[/tex] or [tex]1\frac{39}{56}[/tex]
Step-by-step explanation:
hope this helps have a good day :)
Answer:
Decimal Answer: 1.7
Fraction Answer: 1 39/56
Please help me fast. I’m confused.
Find the value of x.
168
x = [? ]°
Answer: 84
Step-by-step explanation:
The horizontal line is the line tangential to a circle. The measure of the missing angle "x" is 84 degrees
Circle geometry.From the figure given, the horizontal line is the line tangential to a circle.
Given the following parameter
measure of minor arc = 168 degrees
Required
angle at the vertex "x"
Using the theore " angle the vertex is half of the measure of its intercepted arc. Mathematically;
x =1/2 minor arc
x= 1/2 (168)
x = 84 degrees
Hence the measure of the missing angle "x" is 84 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
#SPJ2
Which of these describes a unique polygon?
A quadrilateral with 3 sides lengths 5 inches long
A triangle with a side length of 6 inches, 7 inches, and 8 inches
A triangle with angles 30, 60, and 90
A triangle with side lengths 5 cm and 4 cm and a 70 angle
A study on how circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 decrease on the price
of the ticket. A circus owner sells an average of 340 tickets when the price of a ticket is $75. If x represents the number of times the price
decreases by $3, which function describes the revenue earned by the circus owner terms of x?
Answer:
circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 decrease on the price
of the ticket. A circus owner sells an average of 340 tickets when the price of a ticket is $75. If x represents the number of times the price
decreases by $3, which function describes the revenue earned by the circus owner terms
find the area of each circle
Answer:
1. 28.26 2. 94.985 3. 113.04 4. 50.24 5. 153.86
Step-by-step explanation:
For the circles that have a long line that is the size of the circle is the diameter so the number for the diameter for example is 6 so divide it by 2 which is 3. Multiply 3 by 3 which is 9 and multiply by 3.14 and its 28.26
For the circles that have a line that goes halfway of the circle its more quick so 5.5 x 5.5 equals 30.25 and multiply by 3.14 and you get 94.985
I’ll give brainliest if correct!
Question 16 of 43
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
O A. The mean absolute deviation is 14.
O B. The mean absolute deviation is 12.
O C. The mean absolute deviation is 2.
D. The mean absolute deviation is 6.
Answer:
C. The mean absolute deviation is 2.
Step-by-step explanation:
In order to find the mean absolute deviation, follow the following steps:
Find the absolute distance of each data from the mean. Add the distances so obtained Divide the sum by no of given data to get the mean absolute deviation.Let's work it out.
STEP: 1
|9 - 14| = 5
|13 - 14| = 1
|14 - 14| = 0
|15 - 14| = 1
|15 - 14| = 1
|18 - 14| = 4
STEP: 2
5 + 1 + 0 + 1 + 1 + 4 = 12
STEP: 3
Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]
Can someone help me please!!!!!
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point- slope form is y + 1 = (x – 8).
Answer:
B?
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
no idea what the guy on top is saying
Jeremy bought 5/10 kg of mangoes, 3/4 kg of bananas and 1/2 kg of papayas. How many kilograms of fruits did he buy in all?
Answer:
add 5/10+3/4+1/2 you add number i will give you hint