Answers
Answer:
1. D
2. D
Step-by-step explanation:
First, find two points on the line that are EXACTLY on the dot. Count how many points the line goes down and to the side. Then put it into a slope which is rise/run or y/x
So since the two points I picked where 2 points down and 3 points to the side. Its 2/3. Also, the line is going down so its negative. Therefore, you make the slope negative. So, -2/3 is the answer.
2. In the equation, she did “1 - 17/ 1 - 20”
This is wrong because while the numerator is right, the original point was (20, 1) for the denominator. Therefore, she used y values where she should of use X-values as the equation should be
1 - 17/ 20 - 1
Related Questions
HELP! How many triangles can be made from the following three lengths: 1.6 centimeters, 7.4 centimeters, and 5.9 centimeters?
none
one
more than one
Answers
Answer: one
Step-by-step explanation:
What is the value of the expression below when a = 5?
7a - 4
Answers
Answer:
31
Step-by-step explanation:
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answers
Given:
A figure of a triangle, AD = 6 and DB = 2.
To find:
The length of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In triangle ACD,
[tex]\cos A =\dfrac{AD}{AC}[/tex]
[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]
[tex]\sqrt{3}\times AC=6\times 2[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]
[tex]AC=4\sqrt{3}[/tex]
Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.
A fast-food restaurant operates both a drive through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is,
f (x, y) ={2/3(x+2y) 0 ≤ x ≤ 1 , 0 ≤ y ≤ 1
(a) Find the marginal density of X.
(b) Find the marginal density of Y .
(c) Find the probability that the drive-through facility is busy less than one-half of the time.
Answers
Answer:
[tex](a)\ g(x) = \frac{2}{3}(x+1)[/tex]
[tex](b)\ h(y) = \frac{1}{3}[1 + 4y][/tex]
[tex](c)[/tex] [tex]P(x>0.5) =\frac{5}{12}[/tex]
Step-by-step explanation:
Given
[tex]f(x,y) = \left \{ {{\frac{2}{3}(x+2y)\ \ 0\le x \le 1,\ 0\le y\le 1} \right.[/tex]
Solving (a): The marginal density of X
This is calculated as:
[tex]g(x) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dy[/tex]
[tex]g(x) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dy[/tex]
[tex]g(x) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dy[/tex]
Integrate
[tex]g(x) = \frac{2}{3}(xy+y^2)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for y
[tex]g(x) = \frac{2}{3}[(x*1+1^2) - (x*0 + 0^2)}[/tex]
[tex]g(x) = \frac{2}{3}[(x+1)}[/tex]
Solving (b): The marginal density of Y
This is calculated as:
[tex]h(y) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dx[/tex]
[tex]h(y) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dx[/tex]
[tex]h(y) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dx[/tex]
Integrate
[tex]h(y) = \frac{2}{3}(\frac{x^2}{2} + 2xy)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for x
[tex]h(y) = \frac{2}{3}[(\frac{1^2}{2} + 2y*1) - (\frac{0^2}{2} + 2y*0) ][/tex]
[tex]h(y) = \frac{2}{3}[(\frac{1}{2} + 2y)][/tex]
[tex]h(y) = \frac{1}{3}[1 + 4y][/tex]
Solving (c): The probability that the drive-through facility is busy less than one-half of the time.
This is represented as:
[tex]P(x>0.5)[/tex]
The solution is as follows:
[tex]P(x>0.5) = P(0\le x\le 0.5,0\le y\le 1)[/tex]
Represent as an integral
[tex]P(x>0.5) =\int\limits^1_0 \int\limits^{0.5}_0 {\frac{2}{3}(x + 2y)} \, dx dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 \int\limits^{0.5}_0 {(x + 2y)} \, dx dy[/tex]
Integrate w.r.t. x
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (\frac{x^2}{2} + 2xy) |^{0.5}_0\, dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 [(\frac{0.5^2}{2} + 2*0.5y) -(\frac{0^2}{2} + 2*0y)], dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (0.125 + y), dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}(0.125y + \frac{y^2}{2})|^{1}_{0}[/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125*1 + \frac{1^2}{2}) - (0.125*0 + \frac{0^2}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + \frac{1}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + 0.5][/tex]
[tex]P(x>0.5) =\frac{2}{3} * 0.625[/tex]
[tex]P(x>0.5) =\frac{2 * 0.625}{3}[/tex]
[tex]P(x>0.5) =\frac{1.25}{3}[/tex]
Express as a fraction, properly
[tex]P(x>0.5) =\frac{1.25*4}{3*4}[/tex]
[tex]P(x>0.5) =\frac{5}{12}[/tex]
What is the volume of the figure?
Answers
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
Circumference=25.13 Area=50.27
Pllllllllllllllllllllllllllllssssssssssssssssssssssssssss
Answers
Answer:
50.24 units^2
Step-by-step explanation:
Area of circle formula: [tex]\pi[/tex]r^2
r = 4, [tex]\pi[/tex] = 3.14
3.14 * (4^2) = 3.14 * 16 = 50.24
Answer:
Step-by-step explanation:
3.14*4^2
3.14*16= 50.24
I dont understand help me
Answers
Answer:
can you help me with chemistry? ill help with this if u help with my chemistry
PLS HELP answer all and the pictures, label them as the first 3, and the second one 4
1. Identify the solid by its description:
One triangular base and three lateral faces that are triangles
2. Identify the solid by its description:
Two parallel rectangular bases and four lateral faces that are rectangles
Answers
Answer:
Is a rectangular polygon because it has sides which are rectangleIt a polygon cone or a polygon pyramid because it has a base of a polygonA 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)
Answers
Answer:
Step-by-step explanation:
SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT
The length of a rectangular floor is 4 feet longer than its width w. The area of the floor is 525 ft^2. A) Write a quadratic equation in terms of w that represents the situation. B) What are the dimensions of the floor? Show your work.
Answers
Answer:
w² + 4w - 525 = 0
Width of rectangle = 21 feet
Length of rectangle = 25 feet
Step-by-step explanation:
Given:
Area of rectangular floor = 525 ft²
Find:
Equation
Dimensions of the floor
Computation:
Assume;
Width of rectangle = w feet
So,
Length of rectangle = w + 4 feet
Area of rectangular floor = length x width
Area of rectangular floor = w(w + 4)
525 = w² + 4w
w² + 4w - 525 = 0
w² + (25 - 21)w - 525 = 0
w² + 25w - 21w - 525 = 0
w(w + 25) -21(w + 25)
(w + 25)(w - 21)
So,
w = -25 , w = 21
So,
Width of rectangle = 21 feet
Length of rectangle = w + 4 feet
Length of rectangle = 21 + 4 feet
Length of rectangle = 25 feet
Helppppp!!!!!!!!! Plz
Answers
Which values are solutions to the inequality below?
Check all that apply.
x2 < 81
A. 6
B. 9
C. 10
D. -4
E. -9
F. -12
Answers
Answer:
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
What’s the answer and work to this? Someone please tell me
Answers
Answer:
14
Step-by-step explanation:
If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.
The given values are:
19, -3, 7, 1, 8, 18, 42
Let's write all the values in increasing order.
-3, 1, 7, 8, 18, 19, 42
There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.
Since the median must be 11, the value we need to add is x which must be greater than 8.
-3, 1, 7, 8, x, 18, 19, 42
(8 + x)/2 = 11
8 + x = 22
x = 14
Answer: 14
write the equation of the line that has the indicated slope and contains the indicated point. express the final equation in standard form. m= 1/2, (6,8)
Answers
Answer:
[tex]x - 2y = -10[/tex]
Step-by-step explanation:
1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:
[tex]y-8 = \frac{1}{2} (x-6)[/tex]
2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.
[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]
So, the answer is [tex]x - 2y = -10[/tex].
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answers
what is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1
Answers
Answer:
Equate the divisor to 0
2x-1=0
2×=1
×=1/2
Putting onto the polynomial
f(1/2) = (1/2)³-1/2)²+3(1/2)-2
=-5/8
Work out
44.09
% of
78.76
cm
Answers
Answer:
34.72
Step-by-step explanation:
44.09/100 × 78.76
=34.72
3. ELLIPSE
CENTER = (-1,2)
MAJOR AUIS IS HORIZONTAL
AND HAS LENGTH OF 10
PASSS THROUGH (-1,5)
4. HYPERBOLA
VERTICES : (-2,-4)
(-2,6)
FOU:(-2,-5)
(-2,7)
Answers
Answer:
FFFFFFFFFFFFFFFFFFFFFFFF
Tasha is mixing red and white paint to make pink paint. She uses 1/3 pint of red paint to make 1/2 pint of pink paint. How much red paint would she use to make 3 1/2 pints of pink paint?
Answers
Answer:
2 1/3
Step-by-step explanation:
HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER
Answers
Answer:
C (0,-2)
Step-by-step explanation:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.
As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading
Note that this equation is linear since all of the terms in
x and y are of degree at most 1.
Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 218. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)
Answers
Answer:
97.7%
Step-by-step explanation:
For a score below 218 :
P(x < 218)
Standard deviation = 20 ; mean = 178
Obtian the standardized score (Zscore) :
Zscore = (x - mean) / standard deviation
Z = (218 - 178) / 20 = 40 / 20 = 2
P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)
0.97725 * 100 = 97.725 = 97.7%
solve for the missing side and round to the nearest tenths place
Answers
Answer:
A. 22.5
Step-by-step explanation:
Apply Trigonometric function.
Reference angle = 64°
Opposite side to 64° = x
Hypotenuse = 25
Apply SOH:
Sin 64 = Opp/Hyp
Sin 64 = x/25
25 × Sin 64 = x
22.4698512 = x
x = 22.5 (nearest tenth)
Help please !! need it adap
Answers
Answer:
m < Q = 40°
m < M = 60°
Step-by-step explanation:
1.) All angles in every triangle altogether equal 180°
From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)
180 - 100 = 80
80/2 = 40
2.) This is an isoceles (all angles and sides are equal) There are three angles (divide 180 by 3)
180/3 = 60
SECONDARY MATH III // MODULE 5
MODELING WITH GEOMETRY - 5.5
Answers
Answer:
Its Spring break pls relax
Step-by-step explanation:
Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10
Answers
Answer:
39/20 = 1.95
That's my simplified answer
39/20 = 1 19/20
Will this help?
Step-by-step explanation:
Answer:
[tex]1\frac{19}{20}[/tex]
Step-by-step explanation:
Mari used a thermometer to record temperatures of -3.4 Celsius and 1.6 Celsius . Which temperature in degrees is lower
Answers
I NEED HELP ASAP, I'LL GIVE BRAINLIST : Math
Answers
Answer:
8 quarts and 1 pint
Step-by-step explanation:
there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over
In a class of 23 students, 9 play an instrument and 7 play a sport. There are 3
students who play an instrument and also play a sport. What is the
probability that a student does not play an instrument given that they play a
sport?
Answers
Answer:
4/7
Step-by-step explanation:
The probability that a student does not play an instrument given that they play a sport is 4/23.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total number of students = 23
From the Venn diagram,
Number of students who play sport but not an instrument = 4
The probability that a student does not play an instrument given that they play a sport.
= 4/23
Thus,
The probability is 4/23.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
Answers
Answer:
10.77 is correct answer
use x1=-5 ,x2=5
y1=4 y2=8