Answer:
135 degrees
Step-by-step explanation:
all the angles in a triangle need to add to 180 degrees, so you take
180-(65+70)= 45
Then you just find the supplementary angle
45+x=180
x=135
Charlie's teacher claims that he does not study and just guesses on exams. on an exam with 201 true-false questions, Charlie answered 53.7% of the questions correctly. Calculations using these results show that if he were really just guessing, there would be roughly one chance and seven that he would do this well. Is there a statistically significant evidence against the teachers claim that Charlie is just guessing? Why or why not?
Answer:
Step-by-step explanation:
True-False questions consists of 2 possible answer, which are 50% each, so basically is Charlie was just guessing 201 questions, which means his possibility of getting everything correct is \(\frac{1}{2^2^0^1}\), which is really small, his chance of getting 53,7% correct is \(\frac{1}{2^2^0^1 * 0.537}\) which is roughly arround \(\frac{1}{2^2^0^0}\)
britney took a trip to florida over winter break. at the airport, she paid to check 2 bags. since both of her bags were over the weight limit, she had to pay an additional $9 fee for each bag. britney paid a total of $68 to check her bags. which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?
The equation representing the cost of a bag is 2x + 18 = $68 and for each bag Britney has to pay $25.
Let us consider 'x' be the total cost representing amount of money to check each bag under the weight limit.
Additional amount to pay per bag for over weight limit is equal to $9
Total amount paid by Britney to check both the bags = $68
Equation represents the cost of bags is equal to :
2x + 2(9) = $68
⇒ 2x + 18 = $68
⇒ 2x = $68 - $ 18
⇒ 2x = $50
⇒ x = $50 / 2
⇒ x = $25
Therefore, the equation which represents the cost of a bag is 2x + 18 = $68 and cost for each bag is $25.
Learn more about equation here
brainly.com/question/29538993
#SPJ4
You would like to give your daughter $50,000 towards her college education 15 years from now. How much money must you set aside today for this purpose if you can earn 9 percent on your investments?
To give your daughter $50,000 towards her college education in 15 years, you must set aside approximately $14,803.42 today.
To calculate the amount of money you need to set aside today, we can use the concept of future value of a lump sum. The future value is the amount of money an investment will grow to in the future, given a certain interest rate and time period.
In this case, we want to determine the present value (the amount you need to set aside today) to achieve a future value of $50,000 in 15 years, assuming an annual interest rate of 9 percent. The formula to calculate present value is:
Present Value = \(Future Value / (1 + Interest Rate)^T^i^m^e\)
Plugging in the values, we have:
Present Value = \($50,000 / (1 + 0.09)^1^5\)
Present Value ≈ $14,803.42
Therefore, you would need to set aside approximately $14,803.42 today in order to accumulate $50,000 for your daughter's college education in 15 years, assuming an annual interest rate of 9 percent.
Learn more about college
brainly.com/question/16942544
#SPJ11
76+-90-(-48)
Help!!!!!!!!!!!!!!!! Pls
Answer:
Answer
If we add 76+(-90)-(-48)=34
Necesito ayuda con los ejercios 3,5,7,9,11,13
Slope of the line passing through (-5,-4) and (-1,3)is 1.75
The slope formula
slope = (y₂ - y₁) / (x₂ - x₁)
Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.
The points belong to an increasing, linear function.
Equation: y = 1.75x + 4.75.
m=7/4=1.75.
Learn more about slope of straight line here:
https://brainly.com/question/3605446
#SPJ9
Find the curve that describes the level curve of value c of the surface z = x^2/4 + y^2/25 where c < 0. a. The level curve is an ellipse centered at the origin. b. The level curve is a hyperbola. c. The level curve is a circle centered at the origin. d. The level curve is a parabola. e. The level curve is empty (contains no points).
The curve that describes the level curve of value c of the surface \(z=x^{2}/4 + y^{2}/25\) where c < 0 is a hyperbola i.e., the correct option is B.
To find the level curve, we set the surface equation equal to the constant value c:
\(c = x^{2}/4 + y^{2}/25\)
Since c is negative, let's rearrange the equation to isolate the terms with x and y:
\(y^{2}/25 - x^{2}/4 = -c\)
Now, we can rewrite the equation in a more recognizable form by dividing both sides by -c:
\(y^{2}/(25 * -c) - x^{2}/(4 * -c) = 1\)
This equation represents a hyperbola, as it has the general form of the equation for a hyperbola centered at the origin:
\(x^{2}/a^{2} - y^{2}/b^{2} = 1\)
Therefore, the level curve is a hyperbola.
Learn more about hyperbola here:
https://brainly.com/question/27799190
#SPJ11
what is 19 divided by 6927 in long division
Answer:
364.5789473684211
Step-by-step explanation:
The points (0,0) and (3,2) are two vertices of a polygon with integer coordinates. Suppose the polygon is a square what could the other two vertices be?
If the polygon is a square the other 2 coordinates are
(0, 2.55)(2.55, 0)How to find the other coordinatesThe length of line in an ordered pair is calculated using the formula
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where
d = distance between the points
x₂ and x₁ = points in x coordinates
y₂ and y₁ = points in y coordinates
distance between points (0, 0) and (3, 2) is the diagonal of the polygon calculated as follows
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
d =√{(3 - 0)² + (2 - 0)²}
d =√{9 + 4}
d = √13 units
this is the hypotenuse
from Pythagoras theorem
let length of one side be x
√13² = x² + x²
13 = 2x²
6.5 = x²
x = 2.5495
x = 2.55 units
In ordered pair this is 2.55 units from the origin in the x and y direction
(0, 2.55) and (2.55, 0)
Learn more about length of line segment here:
https://brainly.com/question/24778489
#SPJ1
Iris has a piece of ribboninches long . 3x + 3/4; 2x + 1/2 Juliet has a piece of ribboninches long How many inches longer is Iris's ribbon than Juliet's ribbon ?
Answer:
x + 5/4
Step-by-step explanation:
1) Which expression is equivalent to 4 - (-7)?A 7 + 4B 4 - 7C-7-4D - 4 + 7
Answer:
\(4-(-7)=7+4\)Explanation:
Given the expression;
\(4-(-7)\)simplifying;
\(-\times-=+\)we have;
\(4+7=7+4\)Therefore;
\(4-(-7)=7+4\)Find the slope and y-intercept for the graph of the equation: 9x - 3y = 81
the slope of the graph is 3 and the y-intercept is -27. This means that the graph crosses the y-axis at the point (0,-27).
Answer:
y = -3x - 27
Step-by-step explanation:
9x - 3y = 81
-3y = 9x + 81
-3y/3 = 9x/3 + 81/3
-y = 3x + 27
y = -3x - 27
how many years will it take for the area of the glacier to decrease to 15 square kilometers
Answer:
aprox: 9 years?
Step-by-step explanation:
im sorry if this is wrong!
Find the L.C.M. of: 2xy² and 4x²y
Answer:
2xy is l c m
Step-by-step explanation:
2xy is present in 4x^2y
two in 1 more points
Answer:
Your photo wont show up
Step-by-step explanation:
Answer:
Hello
1. B. 2.35 * 10^11
2. A. 3 * 10^-2
The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?
The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?
Answer · 1 vote
Perimeter of the square80-64yA square has 4 sides, so divide the perimeter by 4:(80-64y) / 480 divided by 4 is 2064y divided by 4 is 16yOne side of the ..
Answer:
Its C
Step-by-step explanation:
took the test
so i need help (urgent)
Answer:
147
Step-by-step explanation:
angles x and 33 are supplementary so
x + 33 = 180
x = 180 - 33
x = 147
simplify 1/3 - 1/2 + 2/5
Answer:
\( \frac{1}{3} - \frac{1}{2} + \frac{2}{5} \)
\( = \frac{10 - 15 + 2 \times 6}{30} \)
\( = \frac{10 - 15 + 12}{30} \)
\( = \frac{ - 5 + 12}{30} \)
\( = \frac{7}{30} \)
Answer:
\( \frac{1}{3} - \frac{1}{2} + \frac{2}{5} \)
\( = \frac{10 - 15 + 2×6}{30} \)
\( = \frac{10 - 15 + 12}{30} \)
\( \frac{-5 +12}{30} \)
= 7 /30
is income take home pay?
Answer:
Take-home pay is the net amount of income received after the deduction of taxes, benefits, and voluntary contributions from a paycheck.
Step-by-step explanation:
Hope this helps!
4. What is the rate of change of the linear function that has a graph that passes
through the points (-1, 3) and (-2,-4)?
The rate of change of the function that has a graph that passes
through the points (-1, 3) and (-2,-4) is slope and is equal to 7.
The slope of a line is outlined because the amendment in y coordinate with relevancy the amendment in x coordinate of that line. cyber web amendment in y coordinate is Δy, whereas cyber web amendment within the x coordinate is Δx. The slope of a line is calculated victimisation 2 points lying on the line. Given the coordinates of the 2 points, we are able to apply the slope of line formula m = y₂ - y₁ / x₂ - x₁ where (x₁ ,y₁) are the coordinate of first point and (x₂ ,y₂) are the coordinate of second point.We have given two points (-1, 3) and (-2,-4) .
Rate of change of graph is given by slope
Using slope formula , we get
m = -4 - 3 / -2 - (-1)
m = -7 / -2 + 1
m = -7 / -1
m = 7
Learn more about slope here :
https://brainly.com/question/17248198
#SPJ9
What is the area of the shaded part ? Take(π=22/7)
Answer:
Given:
radius of bigger half circle[R]=(7+7+14)/2=14cm
radius of smaller half circle [r]=14/2=7cm
Area of shaded region =1/2[πR² -πr²]
=1/2×22/7×[14²-7²]=231cm²
Area of shaded region=231cm²
HELP PLEASE PLEASE PLEASE
Answer:
We'll need 2 points so we'll choose (-6, 0) and (0, -3).
Let's calculate the slope (or 'm') using
Slope or m = (Y2 -Y1) ÷ (X2 -X1)
Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2
Then we calculate the equation using:
(y - y1) = m • (x -x1)
(y - 0) = -1/2 * (x - -6)
y = -1/2 x -3
Source: http://www.1728.org/distance.htm
Step-by-step explanation:
Answer:
x + 2y = - 6Step-by-step explanation:
X-intercept: (-6, 0)
Y-intercept: (0, -3) ⇒ b = -3
Slope: \(m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(m=\dfrac{0+3}{-6+0}=-\dfrac12\)
Slope-intercept form y = mx + b
\(y=-\frac12x-3\) {multiply both sides by 2}
2y = - x - 6 {add x to both sides}
x + 2y = - 6
M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
In ABC, D is a point on AB and E is a point
on AC such that DE is parallel to BC. If AE = 3,
EC = x, ED = x + 1, and CB = x + 5, find the
length of EC. [Only an algebraic solution will be
accepted.]
The required value of EC is 5 units.
How to find the value of EC?Since DE is parallel to BC, we can use the property of similar triangles to set up a proportion:
AD/DB = AE/EC
We know that AD + DB = AB = x + 5. Since D is a point on AB, we can express AD and DB in terms of x:
AD = x, DB = x + 5 - x = 5
We also know that AE = 3 and ED = x + 1. Using these values, we can express AD in terms of ED:
AD = ED - AE = (x + 1) - 3 = x - 2
Substituting these values into the proportion, we get:
(x - 2)/5 = 3/EC
Multiplying both sides by 5EC, we get:
x - 2 = 15/EC
Multiplying both sides by EC, we get:
EC(x - 2) = 15
Expanding the left side, we get:
ECx - 2EC = 15
Solving for EC, we get:
EC = 15/(x - 2)
We are given that EC = x, so we can set these expressions equal to each other:
x = 15/(x - 2)
Multiplying both sides by (x - 2), we get:
x(x - 2) = 15
Expanding the left side, we get:
x² - 2x = 15
Bringing all terms to one side, we get:
x² - 2x - 15 = 0
We can factor this quadratic equation:
(x - 5)(x + 3) = 0
Therefore, x = 5 or x = -3. We reject x = -3 since we are given that EC > 0. Thus, the length of EC is: EC = x = 5.
To know more about triangle visit:
brainly.com/question/2773823
#SPJ1
can the tangent constraint be applied between a line and an arc?
Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.
In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.
This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.
In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.
Learn more about geometric constraint here
brainly.com/question/30319646
#SPJ4
for a goodness-of-fit test for a distribution with 7 categories, what are the degrees of freedom for the distribution for this test?
The degrees of freedom for a goodness-of-fit test with 7 categories is 6, and this value is used to determine the critical value for the chi-square test statistic.
The degrees of freedom (df) for a goodness-of-fit test with k categories is calculated as (k-1), where k represents the number of categories or groups being compared. Therefore, for a goodness-of-fit test with 7 categories, the degrees of freedom would be 6.
The goodness-of-fit test is a statistical test that assesses whether a set of observed data fits a particular theoretical distribution. The test involves comparing the observed frequencies of data in each category with the expected frequencies based on the theoretical distribution. The chi-square test is commonly used for this purpose.
The degrees of freedom in a chi-square goodness-of-fit test are important because they determine the critical value of the test statistic. The critical value is compared to the calculated chi-square value to determine whether the observed data fits the theoretical distribution.
If the calculated chi-square value is greater than the critical value, then the observed data does not fit the theoretical distribution and the null hypothesis is rejected. If the calculated chi-square value is less than the critical value, then the observed data fits the theoretical distribution and the null hypothesis is not rejected.
To learn more about goodness-of-fit click on,
https://brainly.com/question/17205403
#SPJ4
Weekly Usage (hours) 13 10 20 28 32 17 24 Annual Maintenance Expense ($100s) 17.0 22.0 30.0 37.0 47.0 30.5 32.5 31 40 38 39.0 51.5 40.0
Test whether each of the regression parameters b0 and b1 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?
To test whether each regression parameter is equal to zero at a 0.05 level of significance, we can perform a t-test using the estimated coefficient, standard error, and degrees of freedom.
The null hypothesis is that the coefficient is equal to zero, and we reject the null hypothesis if the p-value is less than 0.05. In this case, we find that both b0 and b1 have p-values less than 0.05, indicating that they are significantly different from zero.
The estimated regression parameters indicate that for every additional hour of weekly usage, the annual maintenance expense increases by b1. The intercept, b0, represents the expected annual maintenance expense when weekly usage is zero.
These interpretations are reasonable, as they align with our understanding of how the two variables are related and are supported by the statistical significance of the regression coefficients.
To know more about null hypothesis click on below link:
brainly.com/question/19263925#
#SPJ11
Suppose the architect in Problem 3 reduces the length of the base of the triangle to 100ft . The function that models the height of the triangle becomes y=50 tanθ .
b. What is the height of the triangle when θ=16° ?
Using the given formula, y = b tanθ / 2, with b = 100ft and θ = 16°, (b) we find that the height of the triangle is 29.01 ft when θ = 16°.
The given function is y=50 tanθb, Where, θ = 16°, and the length of the base is 100ft. As we know, the length of the base, b is given by :b = 2y / tanθ
Therefore, y = b tanθ / 2. We have b = 100ft, and θ = 16°So, y = b tanθ / 2y = 100 tan16° / 2y = 29.01 ft
Therefore, the height of the triangle when θ = 16° is 29.01 ft. In this problem, the given function is y=50 tanθb and we are to find the height of the triangle when θ=16°.
Here, we are given that the architect reduces the length of the base of the triangle to 100ft, which means the value of b has changed, and it is now 100ft. With this information, we can solve the problem by first finding the value of y using the formula y = b tanθ / 2, where b = 100ft and θ = 16°.
We plug in these values and calculate y, which turns out to be 29.01ft. Therefore, the height of the triangle when θ = 16° is 29.01 ft.
For more questions on the triangle
https://brainly.com/question/1058720
#SPJ8
CAN SOMEONE HELP ME I'M WASTING ALL MY POINTS AND NO ONE IS HELPING ME (SLOPES) (BRAINLIEST)
Answer:
y= 65x+5
200 miles from the starting line
Step-by-step explanation:
so sorry no one has helped you but i hope this helps!
in order to find the slope intercept equation of this we have to look at the information. it says charlie has a 5 mile headstart and so that gives us our y-intercept or B
and then it says he goes 65mph meaning every hour he will go 65 miles so that gives us 65x because the x will represent the hours he is driving
so that leaves us with our equation of y=65x+5
and we have the plus 5 at the end because he will always have that 5 mile headstart
and then for the second part of the question it says where will be at 3 o'clock
so that means if he starts at 12 and now its 3 that means he drives 3 hours
so if you plug the 3 hrs into the equation we just created
it will give us 200 miles from the starting point at 12pm.
anyways hope this helps if it did please leave a like, rate it, and give me the brainliest if possible.
have a great day!
John earns $18.00 per hour on his job. He works 35 hours per week. His employer deducts $28.00 per week for Social Security tax and $62.00 per week for Federal withholding. What is John's gross income per week?
A) $540
B) $580
C) $630
D) $720
I bought a 4 pack of tissues for $8.80. What was the unit rate?
Answer: 2.2 and/or 2.20 the zero doesn't matter
Step-by-step explanation:
4 goes into 8, 2 times bring the 2 up (4x2=8)
8-8=0
Bring down the next 8
4 goes into 8, 2 times bring the 2 up (4x2=8)
8-8=0
4 goes into 0, 0 times
0-0=0 bring up the 0 or don't
you should get 2.2 and/or 2.20