Step-by-step explanation:
a probability is always
desired cases / totally possible cases.
now in our case the totally possible area is the area of the triangle XYZ (when D = Z).
the desired case is the area of 20 (which contains also the possibilities of smaller areas).
so, the probability is 20/area.
now, let's find the area of XYZ :
Pythagoras tells us the length of the Hypotenuse :
XZ² = XY² + YZ² = 12² + 6² = 144 + 36 = 180
XZ = sqrt(180)
the area based on all 3 sides we get via Heron's formula
s = (a+b+c)/2
A = sqrt(s(s-a)(s-b)(s-c))
s = (12+6+sqrt(180))/2 = 9 + sqrt(180/4) = 9 + sqrt(45)
sqrt(180) = 2×sqrt(45)
A = sqrt((9+sqrt(45))(-3+sqrt(45))(3+sqrt(45))(9-sqrt(45)))
(a+b)(a-b) = a² - b²
so,
(9+sqrt(45))(9-sqrt(45)) = 81 - 45 = 36
(-3+sqrt(45))(3+sqrt(45)) = 45 - 9 = 36
A = sqrt(36×36) = 6×6 = 36
the probability that the area of XYD is max. 20 is
20/36 = 5/9
Show your work please!!!
Answer:
Error is in line 3
Error description: Root of 4 is 2 not 4
Correct answer should be 9*√5 (12*√5 - 3*√5)
What is the slope of the line that is parallel to the line y = -2x + 5?
slope =
Answer:
-2
Step-by-step explanation:
Slope intercept form is
y = mx + b
Where m is the slope
Parallel lines have the same slope
----------------------------
y = -2x + 5
is in slope intercept form
the slope, m = -2
The slope of the parallel ine will be the same
m = -2
Hello there!
Parallel lines have the same slope.
So if one line has a slope of -2, then the slope of the line parallel to it is -2 as well.
Hope it helps! :)
If you have any query, please feel free to ask me! :)
~An excited gal
[tex]MagicalNature[/tex] here to help
Select the correct answer. Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.
the is answer is probably c
the answer makes sense
find the area if each shaded sector.
plz help im confusedddddddd
2. Marquan sells pretzels at Auntie Anne and earns $15 per hour,
(a) Write an expression to show the relationship between the number of hours
worked (h) and the total earnings.
(b) Use the expression to determine the amount of money he earns if he
worked for 2 hours (b) 3 hours (c) 5 hours
Yes
dollars per hour = salary
a
dollars per hours multiplied with hours worked (h) = total earnings
b
15 x 2 = 30
15 x 3 = 45
15 x 5 = 75
(h)
I-Ready The map shows an obstacle course at a school fair.
Write an expression to represent: 2 times the difference of x and 3
Answer:
2(x-3)
Step-by-step explanation: 2 is being multiplied by the difference (subtraction) of x-3.
i will give Brainiest if you are right
Answer:
G
Step-by-step explanation:
only 3 more brailiest and I will become an expert : )
Answer:
The option 'J' is the correct order from least to greatest
no links please
Evaluate 10v for v = -8.
A.
2
B.
-90
C.
80
D.
-80
The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of Honda Accords. Click on the datafile logo to reference the data.
a. Develop an estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car (to decimals). Enter negative value as negative number. 20385.25049
b. Is multicollinearity an issue for this model
Answer:
a) estimated regression equation = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )
b) multicollinearity is an issue for this model
Step-by-step explanation:
a) An estimated regression equation
estimated regression equation = price ~ mileage + age = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )
Residuals :
Min 1∅ median 3∅ max
- 1053.73 - 542.06 - 19.61 433.55 1560.81
coefficients :
estimate std errors at t values ( intercept ) 2.039e + 04 2.982e+02 68.366<2e-16b) multicollinearity is an issue for this model because the correlation between millage and Fs 0.6681727 is of high degree
attached below is the remaining part of the solution
Can anyone help me with this plz
Answer:
B.
Step-by-step explanation:
So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.
Now we can look at the sides.
The ratio for 27:18 = 3:2
The ratio for 36:24 = 3:2
They check out.
That means that the answer is B. SAS
i need to show work it’s algebra 2
Answer:
a=4 because 4+2=6 on number one
Aurielle bought 13 packs of
cookies for $51.48 from the
supermarket. How many packs
of cookies can she buy for
$43.56?
Pls help
Answer:
She could buy 11 packs of cookies for $43.56.
Step-by-step explanation:
to find the answer you have to find how much 1 pack of cookies costs.
First, you divide 51.48 by 13
51.48/13 = 3.96
now that you know 1 pack of cookies cost $3.96 you can use that to find how many packs you could buy for 43.56
43.56/3.96 = 11
How far will the skier travel
Answer:
2700 meters
Step-by-step explanation:
2 and a half minutes becomes 150 seconds. 150 seconds divided by 4 seconds, the amount of seconds it takes to cover 72 meters, is 37.5. 37.5 multiplied by 72, the meters covered in 4 seconds, is 2700 meters.
Can someone PLEASE help I’ll give brainliest
Answer:
98°
Step-by-step explanation:
3x+89+8x+58=180
11x+147=180
11x=180-147
11x=33
x=3
< MON = 3x+89 = 3(3)+89 = 9+89= 98°
How do I solve 6,000-5,258
Answer:
742
Step-by-step explanation:
6000
-5258
742
A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function
V(t) = 350 - 205, where t is the number of years since it was purchased and Vt) is its value in dollars) at that time. What is
the value of the painting 10 years after its purchase?
Answer:
$1400
Step-by-step explanation:
350 x 2 = 700 x 2 = $1400
Which expression represents the product of x3 + 2x - 1 and x4 - x3 +3?
Answer:
x^4 + 2x + 2
Step-by-step explanation:
Max kicks a football up at a velocity of 25 meters per second. If the ball makes contact with his foot 0.5 meter off the ground, how long will the ball stay in the air?
Answer:
25*0.5 = 12.5
Use triangles to find the sum of the interior angle measures of the polygon.
SHOW YOUR WORK.
The sum of the interior angle measures of the polygon is 900 degrees
How to determine the sum of interior angles
From the image shown, we can see that the polygon has 7 sides.
A polygon with seven sides is called a heptagon
It is important to note that the number of triangles in a heptagon is 5.
Also, the sum of angles in a triangle is 180 degrees.
Now, the formula for calculating the sum of interior angles of a polygon is expressed as;
= (n - 2) 180
Where; n is the number of sides of the polygon
Substitute the value
= (7-2)180
Subtract the value
= 5(180)
= 900 degrees
Hence, the sum is 900 degrees
Learn more about polygons here:
https://brainly.com/question/1592456
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Find three consecutive integers such that 4 times the first decreased by the second is 12 more than twice the third
The three consecutive number are 17 , 18 and 19 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be = x
Let the second number be = ( x + 1 )
Let the third number be = ( x + 2 )
Now ,
A = 4 times the first decreased by the second is 12 more than twice the third
Substituting the values in the equation , we get
4x - ( x + 1 ) = 12 + 2 ( x + 2 )
On simplifying the equation , we get
4x - x - 1 = 12 + 2x + 4
3x - 1 = 16 + 2x
Subtracting 2x on both sides of the equation , we get
x - 1 = 16
Adding 1 on both sides of the equation , we get
x = 17
Therefore , the value of x is 17
Hence , the consecutive numbers are 17 , 18 and 19
To learn more about equations click :
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A parking lot contains only cars and motor bikes. If there are 18 vehicles and 50 tires in the parking lot, how many cars and bikes are there?
Answer:
7 cars
11 bikes
Step-by-step explanation:
18 cars would have 72 tires. This is 22 more tires than necessary. If we add a bike, we lose four tires (from the car) and add two (from the bike). This means we lose two tires. 22/2 is 11 so it would be 11 bikes and 7 cars.
11 bikes = 22 tires
7 cars = 28 tires
22+28=50 tires
Express $0.3\overline{2}$ as a fraction in simplest form.
Answer:
3/20
Step-by-step explanation:
[tex]\frac{0.3}{2}=\frac{0.3*10}{2*10}=\frac{3}{20}[/tex]
Kaiya Deangelo each create a number pattern
Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 46.4 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute. At what percentile is the child's reading level (round final answer to one decimal place)?
Answer:
The child's reading level is at the 3.4th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute.
This means that [tex]\mu = 90, \sigma = 24[/tex]
You find an individual that reads 46.4 word per minute. At what percentile is the child's reading level?
The percentile is the p-value of Z when X = 46.4, multiplied by 100. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{46.4 - 90}{24}[/tex]
[tex]Z = -1.82[/tex]
[tex]Z = -1.82[/tex] has a p-value of 0.034.
0.034*100 = 3.4
The child's reading level is at the 3.4th percentile.
in a group of 35 students 7 have yellow socks what percentage of the students have yellow socks
Answer:
20%
Step-by-step explanation:
[tex]\frac{7}{35} =\frac{y}{100}[/tex]
35 · y = 7 · 100
35y = 700
35y ÷ 35 = 700 ÷ 35
y = 20
(Please help) (one question) (NO LINKS)
Answer:
0.25
Step-by-step explanation:
hope that helps!!!!!!!!!!!!!!!!!!!! :)
What is value of x and y if
Y=-2x+8 and Y=3x-7
Answer:
X=5 y=-2
Step-by-step explanation:
Set them equal to each other so...
-2x+8=3x-7
Simplify by balancing out the equation so
-5x=-1
So x=5
Now plug it into either y equation
-2(5)+8
-10+8
Y=-2
Hope this helps!
if the nth term of a sequence is 2n+2n squared, find the first 3 terms and the 10th term please help
Answer:
3rd term: 24
10th term: 220
Step-by-step explanation:
For the 3rd term
2*3 + 2*(3^2) = 6 + 2*9 = 6 + 18 = 24
For the 10th term
2*10 + 2*(10^2) = 20 + 2*100 = 20 + 200 = 220
In 1992, Jason bought a gallon of gas for $1.18. Yesterday, he bought a gallon of gas for $2.10. What is the percentage increase of the price of a gallon of gas
from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
Answer:
1.77 percent increase