Answer:
H0 : μ = 18000
H1 : μ < 18000 - - - > Claim
Test value = - 3.578
Critical value = ±2.58
There is significant evidence to accept the claim that mean debt at graduation is less than $18000
Step-by-step explanation:
H0 : μ = 18000
H1 : μ < 18000
From the data:
Sample size, n = 30
Sample mean, x = 16298.37
The test statistic :
(16298.37 - 18000) ÷ (2605/sqrt(30))
−1701.63 / 475.60575
= - 3.578
The critical value :
Using the standard normal table;
Critical value at α = 0.01
Critical value = ±2.58
Decison region :
|test statistic | > |Critical value | ; reject H0
|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000
Kate thought she could only run for 12 minutes, but she actually ran for 25 minutes. What is the percent error?
Answer:
[tex]108\frac{1}{3}[/tex] %
Step-by-step explanation:
[tex]\frac{25}{12} :\frac{y}{100}[/tex]
12 · y = 25 · 100
12y = 2500
12y ÷ 12 = 2500 ÷ 12
[tex]y=208\frac{1}{3}[/tex]
[tex]208\frac{1}{3} - 100 = 108\frac{1}{3}[/tex]
y = 3•2^x+1 +2
Graph the equation
State the domain and range
State the asymptote
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Shari bought 3 breath mints and received $2.76 change.
Answer:
Step-by-step explanation:yessss queeeeen
1+1 why does my dog not love me?
Answer:
2
Step-by-step explanation:
your dog doesn't love you because it saw what you did. it knows. be cautious around your dog from now on. it knows more than you think and sees all. I'm warning you
PLEASE HELP I DONT KNOW
Answer:
28 in.
Step-by-step explanation:
Since the right portion of the figure is a square, the unlabeled bottom must be the same as the top or 6 in., therefore just add up the pieces starting on the right side. (5 + 6 + 2 + 5 + 4 + 6 = 28)
the table below shows the distribution of students in Mrs. boxer 6th grade class what is the ratio of the number of girls to the total number of students ? * it is 15 boys and 12 girls. Write each ration as a fraction
Answer:
Ratio is 12:27 ratio as a fraction is 12 over 27
Step-by-step explanation:
no need for explaination lolz
juan and jose are in charge of buying candy for pinatas. Each pinata will hold 6 pounds of candy how many puonds of candy will they need to fill 12 pinatas
Answer:
75.36
Step-by-step explanation:
bc it sinple math if you think about it
Hank wants to rent a bike. Bike rentals cost $1.25 per hour plus a one-time
fee of $3. Which equation represents the relationship between the number
of hours h Hank rents the bike and the total cost c?
Answer:
c = 3 + (1.25 x h)
Some questions make use of the Interactive Graphing Tool to draw a basic graph and then use interactions to edit special graph values in order to complete the graph.
LOADING... Click the icon to view instructions for the Interactive Graphing Tool.
Use the x-cubed tool to graph the x-cubed function. Update the function to have a Vertical Stretch of 3, a Horizontal Stretch of 1, a Vertical Shift of 0, a Horizontal Shift of 5, and a Reflection over the x-axis.
Use the x-cubed tool button on the graphing palette to place the function on the graph. Then update the Vertical Stretch, Horizontal Stretch, Vertical Shift, Horizontal Shift, and Reflect over x-axis interactions to have the
Answer:
it should be 16 i hope this helps and i hope im smart enough to know this
Step-by-step explanation:
PEASE HELP ASAP!!! The sum of two numbers is 58.
The difference of those two numbers
is 28. Find both numbers.
Answer:
y=15
x=43
(any variable can be used, I used x and y to make it easier to show)
Step-by-step explanation:
x+y=58
x-y=28
get x by its self
x=58-y
then subsitute into the other equation
(58-y)-y=28
58-2y=28
-2y=-30
y=15
sub. again
x+15=58
x=43
A tree is 73 inches tall. How tall is it in feet and inches?
Answer:
6 ft 1 inch
Step-by-step explanation:
We know that there are 12 inches in a foot. So we divide 73/12, which gives us 6 remainder 1. So there are 6 ft and 1 inch.
Answer:
6.08 feet
Step-by-step explanation:
converted it on a site and this was it
help me finding the surface area plsssss
Answer:
343
Step-by-step explanation:
Based on the pattern shown, what is 46?
41 = 4
42 = 16
43 - 64
Answer: 44 equals 128
Step-by-step explanation: This is because you do 16 times 4 to get 64, then you double that to 8, so you do 16 times 8 and get your answer 128
HOPE IM RIGHT!
Write each relation in standard form and then find the y-intercept for each relation:
a) y = 5(x+10)^2 +7
Answer:
In standard form, the relation is [tex]y = 5x^2 + 100x + 507[/tex]
The y-intercept is y = 507.
Step-by-step explanation:
Quadratic equation:
In standard form, it is written as:
[tex]y = ax^2 + bx + c[/tex]
The y-intercept is c.
a) y = 5(x+10)^2 +7
We open the binomial to write in standard form. So
[tex]y = 5(x + 10)^2 + 7[/tex]
[tex]y = 5(x^2 + 20x + 100) + 7[/tex]
[tex]y = 5x^2 + 100x + 500 + 7[/tex]
[tex]y = 5x^2 + 100x + 507[/tex]
In standard form, the relation is [tex]y = 5x^2 + 100x + 507[/tex]
The independent term, c, is 507, so the y-intercept is y = 507.
Cos (a + 60 ) + Cos (a-60)
Answer:
the answer is 0.9988747935
hope that works!!
Andrew thought he could score 25 points
on an arcade game, but he only scored
17. What was Andrew's percent error?
Prediction Actual
Hint: Percent error =
x 100
Actual
Round to the nearest percent.
Answer:
3 kilometrs
Step-by-step explanation:
1=2+3 and this is how a tree rides a bike
Answer:
the answer is 12so he just needs 12 more to have 25
Iris weighed 5 large watermelons from her garden. Here are the weights in pounds. 17,11,21,24,22 what is the mean weight
Answer:
Mean weight = 19 pounds
Step-by-step explanation:
From the question given above, the following data were obtained:
17, 11, 21, 24, 22
Number of data (n) = 5
Mean weight =?
The mean of a set of data is the value obtained by adding all the data together and dividing the result obtained by the total number of data. Thus, the mean can be obtained as follow:
Summation of data = 17+ 11 + 21 + 24 + 22
= 95
Number of data = 5
Mean = Summation of data / Number of data
Mean = 95 / 5
Mean weight = 19 pounds
Therefore, the mean weight of the data is 19 pounds
Question is in image
Answer:
4x + 8x = 180
12x = 180
x = 15
Prove <4 and <1 are supplementary.
Answer:
the = 180
Step-by-step explanation:
Answer:
proof:
Triangle is isosceles, so angle 4 and 5 are equal
Angle 5 + Angle 1 = 180°
Angle 4+ Angle 1 = 180°
Step-by-step explanation:
<4 ≅ <5. <5 + <1 = 180° <4 + <1 are supplementary
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the height of the triangle???
Step-by-step explanation:
your answer should be C hope this helps
Answer:
since it is a equilateral triangle its all side are equal.
side (a)=10cm
height =[tex] \sqrt{ {10}^{2} - 5 {}^{2} } [/tex]
[tex] \sqrt{75} [/tex][tex] \sqrt{25 \times 3} [/tex][tex]5 \sqrt{3} [/tex]option b is a right answer.What are the vertical and horizontal asymptotes of f (x) = StartFraction 2 x Over x minus 1 EndFraction?
horizontal asymptote at y = 0, vertical asymptote at x = 1
horizontal asymptote at y = 2, vertical asymptote at x = 1
horizontal asymptote at y = 1, vertical asymptote at x = 0
horizontal asymptote at y = 1, vertical asymptote at x = 2
Answer:
horizontal asymptote at y = 2, vertical asymptote at x = 1
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \frac{2x}{x - 1}[/tex]
Horizontal asymptote:
The horizontal asymptote of a function is the limit of the function as the input, in this case x, goes to infinity. When we want to find the limit of x going to infinity of a fraction we consider the term with the largest exponent on both the numeration and the denominator. So
[tex]\lim_{x \rightarrow \infty} \frac{2x}{x - 1} = \lim_{x \rightarrow \infty} \frac{2x}{x} = \lim_{x \rightarrow \infty} 2 = 2[/tex]
So there is a horizontal asymptote at y = 2
Vertical asymptote:
Vertical asymptotes happens at points outside the function domain.
In this question, we have a fraction, in which the denominator cannot be 0. So
[tex]x - 1 = 0 \rightarrow x = 1[/tex]
Thus, there is a vertical asymptote at x = 1.
The correct option is:
horizontal asymptote at y = 2, vertical asymptote at x = 1
Answer:
It's B
Step-by-step explanation:
took the test, hope this helps!
In the coordinate plane, you are given JKL with J(2, 3), K(10,4), and L(6, 10). Using the distance formula, classify JKL
Answer:
Perimeter of JKL = 22.55 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of J = (2,3)
Coordinate of K = (10,4)
Coordinate of L = (6,10)
Find:
Perimeter of JKL
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between JK = √(2 - 10)² + (3 - 4)²
Distance between JK = √64 + 1
Distance between JK = √65
Distance between JK = 8.06 unit
Distance between KL = √(10 - 6)² + (4 - 10)²
Distance between KL = √16 + 36
Distance between KL = √52
Distance between KL = 7.21 unit
Distance between LJ = √(6 - 2)² + (10 - 3)²
Distance between LJ = √4 + 49
Distance between LJ = √53
Distance between LJ = 7.28 unit
Perimeter of JKL = Distance between JK + Distance between KL + Distance between LJ
Perimeter of JKL = 8.06 + 7.21 + 7.28
Perimeter of JKL = 22.55 unit (Approx.)
The measures of the interior angles of a pentagon are 2x + 15, 3x, 3x + 5, 4x + 10, and 5x. What is the measure of the largest angle for this pentagon?
130
140
160
150
Answer:
i think 140
Step-by-step explanation:
even tho this one old
A pentagon's largest internal angle is 150 degrees.
What is a pentagons?The geometric shape known as a pentagon has five sides and five angles. Penta here means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon's internal angles add up to 540 degrees.
Given, The measures of the interior angles of a pentagon are 2x + 15, 3x, 3x + 5, 4x + 10, and 5x. Since the sum of all the interior angles of the pentagon is 540 degrees. Hence
2x + 15 + 3x + 3x + 5 + 4x + 10 + 5x = 540
17x + 30 = 540
17x = 510
x = 30
All five angles of the pentagon are 75, 90, 95, 130, and 150.
Therefore, the biggest interior angle of a pentagon is 150 degrees.
Learn more about the pentagons here:
https://brainly.com/question/27476
#SPJ2
Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does
Abby need to get on her fifth quiz to have an average of exactly 91 on her history
quizzes?
Answer:
73
Explanation
To find the average we need to find the mean. So you have
87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.
(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)
Help me wit this ASAP!!!!!!!!!!!!!!
Answer:
Hi, there your answer will be 176pi ft^2
Step-by-step explanation:
pi(8)(14)+pi(8)^2
112pi+64pi
176pift^2
Hope this helps if you still don't understand just ask me and I can help you
The ratio of men to women working for a company is 5 to 4. if there are 92 women working for the company, what is the total number of employees?
A boy is flying a kite. The length of the string is 20 meters and the horizontal distance between the boy and the kite is 15 meters. Assuming there is no slack in the string, find the height of the kite from the ground.
A.
B.
C.
D.
Answer:
5√(7)m or 13.23m
Step-by-step explanation:
use pythagorean theorem
a²+b²=c²
c=20
b=15
a²+225=400
a²=175
√(175) = 5√(7) = 13.23
The height of the kite is 13.23 meters.
What is Pythagoras' theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
A boy is flying a kite.
The length of the string is 20 meters and the horizontal distance between the boy and the kite is 15 meters.
Assuming there is no slack in the string,
then the height of the kite is,
= √(20)² - (15)²
= 13.23 feet.
Therefore, the height is 13.23 meters.
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
#SPJ2
Can somebody help me
Answer:
Angles in a triangle sum to 180.
So
x= 180 - 75 - 43
x=62°
Answer:
x=62°
Step-by-step explanation:
x= 180 - 75 - 43
Annjajjajanaannajaja
Answer:
40is the correct answer right
Which statement is given in the diagram?
Answer:
Both shapes ADE and ABC are the exact same thing because those dashes mean that they match up with another.
Step-by-step explanation:
