Complete question is;
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. he writes the following conjecture: the measures of the three angles of a triangle add up to 180°. which of the following statements is true?
a. jonas believes that his conjecture only applies to the triangles he drew and measured.
b. jonas believes that his conjecture only applies to the triangles he drew and measured.
c. jonas believes his conjecture is true for all triangles.
d. none of the above.
Answer:
C. jonas believes his conjecture is true for all triangles.
Step-by-step explanation:
A conjecture in maths is simply a conclusion or a proposition that is like an educated guess which is likely to be true due to supporting evidence from preliminary study or research. However, it is just like a hypothesis for which no proof or disproof has been gotten.
Now, to the question, he came up with that conjecture after drawing so many triangles. So it means he is making a generalized statement for every triangle and not just the ones he drew.
Thus, the correct answer is Option C.
Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30
Answer:
y-int = -10, x-int = 15/2
Step-by-step explanation:
y int:
-4(0)+3y=-30
3y=-30
y=-10
x int:
-4x+3(0)=-30
-4x=-30
x=30/4=15/2
Lowest common multiple of 8 and 6
Answer:
answer is 24 hope this helps! :)
For statistical tests of significance about the coefficients, the null hypothesis is that the slope is 1. True False
NEED HELP ASAP, VIEW THE PHOTO FOR THE QUESTION PLZ I NEED HELP
Answer:
x=0 is the solution
Step-by-step explanation:
Notice that the graph is that of a parabola with vertex at the point (0, 0).
When we solve for x in the equation:
- x^2 = 0
then we divide by -1 both sides an get: x^2 = 0/(-1) = 0
and finally use the square root property to find the answer and we get:
[tex]x=+/- \sqrt{0} = +/- 0 = 0[/tex]
Since +0 = - 0 (this is the null value), there is only one solution: x = 0.
You are buying a new bicycle. The table shows the prices of bicycles at a store. You are willing to pay the mean price with an absolute deviation
of at most $60.
Select which inequalities represent the prices you are willing to pay.
Bicycle prices:
$350 $450 $180 $200
$290 $325 $240 $445
x-60 S 310
| x + 60 < 310
1 x + 310 < 60
x < 250 or x > 370
X - 310 < 60
250 < x < 370
Answer:
250 < x < 370
Step-by-step explanation:
From the given bicycle prices, we first calculate the mean.
Mean = ⅛($350 + $450 + $180 + $200 + $290 + $325 + $240 + $445)
Mean = ⅛(2480)
Mean = $310
Next, is to determine the amount willing to pay using.
Amount = Mean ± Absolute Deviation
Amount = $310 ± $60
This can split as follows
Amount = $310 + $60 or Amount = $310 - $60
Amount = $370 or $250
Represent as an inequality, we have:
250 < x < 370
The area of a triangle is 120-meter square, if the height is equal 10 meter, what is the value of the base?
Answer:
24 meters
Step-by-step explanation:
The equation for the area of a triangle is A=1/2BxH where B is the base and H is the height. You are given the area and the height so you need to plug those values into the equation and solve.
120=1/2Bx10
240=Bx10
24=B
Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams.
Answer:
28 in grams=793.787 and 28 in kilo =0.793787
Step-by-step explanation:
Solve the equation. Then check your solution.
1. 1/4 = a +3/8
the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value
Answer:
a) 20 - 3^2 = 11
b) 5th, 20 - 5^2 = -5
Step-by-step explanation:
The answer assumes your terms begin at 1. If the terms begin at zero
a) 16
b) 6th term
if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers
Answer:
a)11
b)5th term
Step-by-step explanation:
. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments
Answer:
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The first mean is [tex]M_1 = 55[/tex]
The variance is [tex]s^2_1 = 8[/tex]
The second mean is [tex]M_2 = 52[/tex]
The second variance is [tex]s^2_2 = 4[/tex]
Let the level of significance be [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : M_1 = M_2[/tex]
The alternative hypothesis is [tex]H_a : M_1 \ne M_2[/tex]
Generally the test statistics is mathematically
[tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]
=> [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]
=> [tex]t = 1.1619 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 12 -1[/tex]
=> [tex]df = 11 [/tex]
Generally from the t- distriibution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex] is
[tex]t_{0.05 , 11} = 2.20098516[/tex]
Here given that the critical value is greater than the t statistics value the
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
You are putting in a walkway around a tomato garden that has
dimensions of 14 feet x 8 feet. The width of the walkway needs to be
the same around each side of the garden. The total area of the
garden and the walkway needs to be 315 square feet.
Answer:
The garden is 14ft by 8ft.
The width of the walkway needs to be the same around each side of the garden, let's suppose that the width is X.
Then the area of the garden plus the walkway will be:
(14ft + X) by (8ft + X).
And we want that the total area of the garden and the walkway must be equal to 315 ft^2. Then we must solve the equation:
(14ft + X)*(8ft + X) = 315ft^2
Let's solve this for X.
112ft^2 + 14ft*X + 8ft*X + X^2 = 315ft^2
Let's move al the terms to the same side:
X^2 + (14ft + 8ft)*X + 112ft^2 - 315ft^2 = 0
X^2 + 22ft*X - 203ft^2 = 0.
Now to solve this we can use Bhaskara's equation:
[tex]X = \frac{-22ft +- \sqrt{(22ft)^2 - 4*1*(203ft^)} }{2} = \frac{-22ft +-36ft}{2}[/tex]
Then we have two solutions:
X = (-22ft - 36ft)/2 = -29ft
This solution is negative, and X represents a width, so must be positive, then we can discard this solution.
X = (-22ft + 36ft)/2 = 7ft
Then we can conclude that the width of the walkway must be 7ft.
As of a certain date, there had been a total of 13,974 performances of two shows on Broadway, with 2480 more performances of Show A than Show B. How many performances were there of each show?
Answer:
11,772
Step-by-step explanation:
Just trying to earn points don't know if nessesarily right! just beggined few days ago
please help, I can't get it
what is 20 1/6% as a fraction
Answer:
1.6
Step-by-step explanation:
1 x 20
6 x 1
=
20
6
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
20/2 = 10
6/2 = 3
10/3
The complete and simplified answer to the question what is 1/6 of 20 is:
3 1/3 = 1.6
so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6
ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he seems to third of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at this rate how many minutes does it take them to run 2 miles swim 2 miles in bike 8 miles
Answer:
a) He will take 76 minutes in the triathlon
Step-by-step explanation:
He runs 1/5 of a mile in 1/20 f hour then, by simple inspection
1/5 ⇒ 1/20 then 1/5 miles* 10 = 2 miles
1/20*hours*10 = 1/10 hours
10/10 of an hour is 60 minutes
1/10 of an hour is 6 minutes
swimming
1/3 of a mile in 1/9 of hours then
1/3mile *6 = 2 miles
1/9 of an hour * 6 = 6/9 hours or 2/3 of an hour
3/3 of an hour is 1 hour = 60 minutes
2/3 of an hour is = 40 minutes
In bike
4 miles in 1/4 hour then
4 miles *2 = 8 miles
1/4 hour* 2 = 1/2 hour = 30 minutes
Then he will do the triathlon in:
6 minutes running
40 minutes swimming
30 minutes in bike
Total 76 minutes
The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55.
Answer:
90
Step-by-step explanation:
g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of those vertices are 5, 9, and 14, respectively. Using the linear interpolation scheme, what is the intensity value of an interior point at (3, 5)? Show all your work.
Answer:
6.333
Step-by-step explanation:
Our triangle vertices are
(1,1)(5,1)(2,9)
We are to perform interpolation at point(3,5)
x and y values are interpolated
On vertices (5,1)(2,9)
x = 3
x1 = 5
X2 = 2
Y1 = 1
Y2 = 9
Formula for interpolation
Y = [y1+(x-x1)(y2-y1)]/x2-x
Y = 1+(3-5)(9-1)/2-5
Y = 1+[-2*8/-3]
Y = 1+16/3
From here we use use LCM to get:
19/3 = 6.333
Can someone answer this and explain how to solve the 3 with the exponent of -4?
Answer:
3⁷
Step-by-step explanation:
When you multiplying or dividing numbers with exponents, you keep the base the same and specifically with dividing, you subtract the exponents themselves. So, you would be doing 3-(-4), which is 7.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Exponents and power,
Since we know the concept that, any power in denominator of a fraction is shows as negative power when it comes to the Numerator of the fraction,like eg:-
[tex]1 \div ( {5}^{8} ) = {5}^{ - 8} [/tex]
so we apply here same,
also
[tex]1 \div ({5}^{ - 8} ) = {5}^{8} [/tex]
so we get as,
[tex] {3}^{3} \div {3}^{ - 4} = {3}^{3} \times {3}^{4} [/tex]
this is the answer.
please help asap :)
Find the measure of the missing angle
A supply of foods last for a week for 20 families. how long would the supply last for 3 more families.?
Given that,
A supply of foods last for a week for 20 families.
It is required to find the time that would the supply last for 3 more families.
20 families = 1 week = 7 days
If 3 more families joined, total no of families are now 23.
It means that,
1 family= (20/7) days
Now,
23 family =
[tex]\dfrac{20}{7}\times 23=65.71\ \text{days}\\\\\approx 66\ \text{days}[/tex]
So, the supply will last for 66 days.
Suppose you want to find the average household income in America. So you pick 10 households from each state (a total of 500 households) and find their income.
What is the population? What is the parameter you want to find?
Answer:
Step-by-step explanation:
The purpose of the experiment is to find the average or mean amount of household income in America.
Household Income simply means the total income of a household - which is the sum of income earned by each member of the household. This study aims to find the average of this household, across the Americas.
For your analysis, you pick 10 households from each state of the country (or continent). A total of 500 households implies 500/10 = 50 states
WHAT IS THE POPULATION?
The population in this study is: the total population of American households OR the total number of households in America. The sample on the other hand, is the 500 households directly involved in the study.
WHAT IS THE PARAMETER YOU WISH TO FIND?
The parameter you wish to find is: mean (or average) household income in America.
4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics. At a certain point in the season, he discovered that in 375 games, 300 were won by the team that was winning the game at the end of the third quarter. The margin of error in a 90% confidence interval estimate of the true proportion of games won by the team leading at the end of the third quarter with the plus-4 adjustment applied is (Show work): (5)
Answer: 0.038
Step-by-step explanation:
Given: Total games : n= 375
Number of games won by the team that was winning the game at the end of the third quarter. = 300
The proportion (p) of the team that was winning the game at the end of the third quarter: [tex]p=\dfrac{300}{375}=0.8[/tex]
Critical z-value for 90% confidence: z* = 1.645
Margin of error =[tex]z^*\sqrt{\dfrac{(1-p)p}{n}}[/tex]
The margin of error in a 90% confidence interval estimate of p [tex]=1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038[/tex]
Hence, the required margin of error = 0.038
Find the measures of the missing values.
Pls help for Algebra 11b = 143
Answer:
b = 13
Step-by-step explanation:
Divide 143 by 11
question 16 i mark as brainliest
Answer:
A
Step-by-step explanation:
HELP ME ASP PLZ
Which model represents the product Three-fourths times one-third ?
1. A model with 12 squares. 2 squares are light purple, 1 square is dark purple, and 3 squares are grey.
2. A model with 12 squares. 3 squares are light purple, 6 squares are dark purple, and 2 squares are grey.
3. A model with 8 squares. 3 squares are light purple, 3 squares are dark purple, and 1 square is grey.
4. A model with 12 squares. 6 squares are light purple, 3 squares are dark purple, and 1 square is grey.
Answer:
b
Step-by-step explanation:
Maureen reads at an average rate of 18 pages per hour. If she reads for 3.5 hours how many pages will she read?
the answer is 63
Step-by-step explanation
18 x 3.5=63
Answer: 63 pages
Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.
coefficient of x²and x in 3x-2x+1
If it is ....
[tex]3 {x}^{2} - 2x + 1 = [/tex]
The coefficient of x² is (( 3 ))
& the coefficient of x is (( -2 ))
_________________________________
If it is .....
[tex]3x - 2x + 1[/tex]
[tex]x + 1[/tex]
The coefficient of x² is (( zero 0 ))
& the coefficient of x is (( 1 ))
The population of a country in 2015 was estimated to be 321.3 million people. This was an increase of 21% from the population in 1990. What was the population of the country in 1990?
Answer:
249.5 (Note: I am not really sure of my answer so sorry)
Step-by-step explanation:
Let 'x' be the population in 1990.
The population in 2015 is 321.9 million.
The increase in x by 29% = 321.910^6
129% of x = 321.910^6
1.29x = 321.910^6
x = 321.910^6/1.29
x = 249.510^6
x = 249.5 million.
249.5 is the answer
i used siri