A 13-foot ladder leaning against a building meets the side of the building exactly 12 feet above the ground. How far from the building is the base of the ladder rounded to the nearest hundredth foot?
Answer:
At the moment in question, we have a 5-12-13 right triangle.
x^2 + y^2 = 13^2
2x dx/dt + 2y dy/dt = 0
2(5)(2/3) + 2(12) dy/dt = 0
dy/dt = -5/18 ft/s
the area is 1/2 xy, so
da/dt = 1/2 y dx/dt + 1/2 x dy/dt
= (1/2)((12)(2/3) + (5)(-5/18))
= 119/36
Step-by-step explanation:
NO LINKS PLEASE HELP ME
Answer
angle 5 = 31°
Step-by-step explanation:
Answer:
31 degrees
Step-by-step explanation:
Angles 1, 5, and 6 combine to form a straight line, which is 180 degrees, so add 56 and 93 and subtract that from 180
In a recent survey in a Statistics class, it was determined that only 70% of the students attend class on Fridays. From past data it was noted that 88% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course. a. What percentage of students is expected to pass the course? b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays? (Hint: the above problem is based on conditional probability concept and the Bayes theorem)
Answer:
a) 67.6% of students is expected to pass the course
b) 0.9112 = 91.12% probability that he/she attended classes on Fridays
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What percentage of students is expected to pass the course?
88% of 70%(attended class)
20% of 100 - 70 = 30%(did not attend class). So
[tex]p = 0.88*0.7 + 0.2*0.3 = 0.676[/tex]
0.676*100% = 67.6%
67.6% of students is expected to pass the course.
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
Here, we use conditional probability:
Event A: Passed the course
Event B: Attended classes on Fridays.
67.6% of students is expected to pass the course.
This means that [tex]P(A) = 0.676[/tex]
Probability that passed and attended classes on Friday.
88% of 70%
This means that:
[tex]P(A \cap B) = 0.88*0.7 = 0.616[/tex]
Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112[/tex]
0.9112 = 91.12% probability that he/she attended classes on Fridays
Here are five statements.
For each statement, say whether it is TRUE or FALSE.
The first one has been done for you.
Note: Please make sure you follow the format of the answers, e.g.
2) ....
3) ...
Answer:
Step-by-step explanation:
2) False.
3) True. It could be 50°-65°-65°.
4) True. It could be 35°-35°-110°.
5) True. It could be 40°-50°-90°.
what is the value of k if - 2/3(k - 6) = 3/2(k+6)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: -30/13
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
2. A student measured the mass of an object
to be 56 g, but the actual mass was 53 g.
What is the absolute error?
Quickkkkkk
The absolute Error is 5.66%.
What is absolute Error?The discrepancy between a quantity's measured or inferred value and its actual value is known as the absolute error.
The absolute error is insufficient because it provides no information about the significance of the error. An inaccuracy of a few centimetres when estimating the kilometres between cities is insignificant and unimportant. A measurement mistake of a few centimetres when measuring tiny machine parts is a highly important defect. Although both inaccuracies are in the centimetre range, the second one is more serious than the first.
Given:
Actual Mass = 53g
and, Measure mass= 56 g
So, Absolute Error = | 56- 53 / 56| x 100
Absolute Error = |3 / 56| x 100
Absolute Error = 0.056603 x 100
Absolute Error = 5.66%
Hence, the absolute Error is 5.66%.
Learn more about Absolute Error here:
https://brainly.com/question/11599357
#SPJ2
If PQRS is a rhombus, find m
Answer:
m<PQR = 82°
Step-by-step explanation:
In a Rhombus, the diagonals bisect its angles. This means that they divide each the four angles into two equal parts.
Therefore:
(4x - 27)° = (2x + 7)°
Solve for x
4x - 27 = 2x + 7
Collect like terms
4x - 2x = 27 + 7
2x = 34
Divide both sides by 2
2x/2 = 34/2
x = 17
✔️m<PQR = (4x - 27) + (2x + 7)
Plug in the value of x
m<PQR = (4*17 - 27) + (2*17 + 7)
m<PQR = 41 + 41
m<PQR = 82°
Find the measure of 61.
{
839
41
{ K
41 = [?]
Enter
Answer:
m<1 = 97°
Step-by-step explanation:
<1 and 83° are same-side interior angles. Same-side interior angles are supplementary. This implies that:
m<1 + 83° = 180°
Therefore:
m<1 + 83° - 83° = 180° - 83° (subtraction property of equality)
m<1 = 97°
Answer:
<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°
(help?)
Look at the model.
Which of the following statements of equality is true? [png]
Answer:
H
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
3 times 2 and x in each row
which equals to 6 and 3x
HELP PLSS IT WOULD BE NICE
If Sheyenne walked 8 miles in 2 hours what was her speed?
Answer:
4 miles per hour
Step-by-step explanation:
Answer:
4mph
Step-by-step explanation:
8 divided by 2 and boom the answer.Hope this helps.
The Environmental Protection Agency (EPA) uses a measure called the Pollutant Standards Index (PSI) to measure air quality in a city. A PSI reading over 100 indicates a day when the air quality is considered unhealthy. The measurements represent the number of days in 1995 that the PSI was over 100 for metropolitan areas in the U.S. Midwest. Summary statistics are provided.
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14
Required:
Draw the boxplot for this data we found no extreme outliers.
Answer:
Please find attached the Box Plot Created with Microsoft Excel
The outliers are 11, and 14
Step-by-step explanation:
The given data is presented as follows;
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14
From the data, we have;
The first quartile, Q₁ = 1
The second quartile, (The median) Q₂ = 2.5
The third quartile, Q₃ = 4.75
Therefore, the interquartile range, IQR = Q₃ - Q₁ = 4.75 - 1 = 3.75
Therefore, the values above Q₃ + 1.5 × IQR are outliers
Q₃ + 1.5 × IQR = 4.75 + 1.5 × 3.75 = 10.375
Therefore, 11, and 14 are outliers
The boxplot created with Microsoft Excel is attached
The sum of a number times 8 and 23 is at most 26.
Use the variable b for the unknown number
Answer:
b ≤ 3/8
Step-by-step explanation:
Let the unknown number be b.
Translating the word problem into an algebraic expression, we have;
8b + 23 ≤ 26
Rearranging the equation, we have;
8b ≤ 26 - 23
8b ≤ 3
Dividing both sides by 8, we have;
b ≤ 3/8
I need help with this
Answer:
1/5
Step-by-step explanation:
because u divied
Please help cus I don’t know
Answer:
D) 53°
Step-by-step explanation:
All interior angles of any triangle add up to 180°
? = 180° - 43° - 84°
? = 53°
Answer:
Its B. 53
Step-by-step explanation:
To find the unknown angel you need to add the number you already have AKA 43 and 84 you need to add up to 180 so 43+84+53= 180
Angel and Kellie each have the same amount of money in their wallet. Angel buys two juice drinks and receives $1.10 in change after she pays. Kellie buys 1 juice drink and receives $3.05 in change after she pays. Which equation shows how to find the cost of a juice drink, j?
Answer:
y= 2x+1.10
y=x+3.05
Step-by-step explanation:
Georgia brought a snow cone shaped like the cone below what is the height of the snow cone
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem.
h² = 5² - 3² = 4²
h = 4 in
Can someone please help me with this?
Find the value of x.
Plsss help
Answer:
x=6
Step-by-step explanation:
7x+5+13x-8+11x-3=180
31x-6=180
31x=186
x=186÷31
x=6
I wrote the wrong answer so I erased it
Solve for h. What is h?
Problem 20h=2
Answer:
h=1/10
Step-by-step explanation:
solve the system of equations-6x+7y=9 and 2x-2y=-4
Answer:
y = -3 and x = -5
Step-by-step explanation:
Hi,
-6x + 7y = 9
2x - 2y = -4
Multiply the bottm equation by 3...
-6x + 7y = 9
6x - 6y = -12
Add...
y = -3
Now...
2x - 2 (-3) = -4
2x + 6 = -4
2x = -10
x = -5
Answer...
y = -3 and x = -5
Which of the following is the correct way to state the similarity between these two figures?
A.) ABCDE ~ YXVZW
B.) ABCDE ~ VWXYZ
C.) ABCDE ~ VZWYX
D.) ABCDE ~ ZWYXV
Answer:
ABCDE is similar to the ZWYXV
what is an outlier number?
Answer:
an outlier is a number that is at least 2 standard deviations away from the mean for example in the set 1,1,1,1,1,1,1,1,1,7,7,7 would be the outlier
Step-by-step explanation:
watashi wa sore ga tadashī koto o negatte imasu
arigatozaimasu!!
Step-by-step explanation:
i have noooo idea but ayyeee
A graduate student conducted a study of field mice in rural Kansas. The student obtained a sample of 100 field mice and recorded the weight, in grams, of each mouse. The mean and standard deviation of the recorded weights are 35 grams and 2.4 grams, respectively. After the measurements were taken, it was discovered that the scale was not calibrated correctly. The student adjusted the 100 measurements by subtracting 3 grams from each measurement. What are the values of the mean and standard deviation of the corrected measurements
Subtracting 3 from all measurements, it is found that:
The mean will decrease by 3.The standard deviation will remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.From this, we have that:
When 3 is subtracted from all measures, the sum of all observations will be subtracted by 3 x 100 = 300, hence the mean will decrease by 3.The mean decreases by 3, as does each observation, hence the sum of the differences squared between each observation and the mean remains constant, as does the standard deviation.More can be learned about the standard deviation of a data-set at https://brainly.com/question/12180602
#SPJ1
keiko has bought 36pounds of dog food, she feed the dog 3/4 pound of food each meal. how many meals would this last
Answer:
48 meals
Step-by-step explanation:
36lbs ÷ 3/4lbs = 48
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Answer:
Step-by-step explanation:
Part A: (3,2)
connect all the points on the paper
Part B: 5 units. We know this since the x point for A is -2 and the point for B is 3. -2 to 3(absolute value of -2 plus 3)= 5
The population in Smalltown in 2010 was 45,230 people and is growing at a rate of 2%. What will the population be in 2030?
Answer:
67475
Step-by-step explanation:
Let P(t) = population t years after 2010
= 45230e0.02t
Population in 2030 = P(20)
= 45230e0.4≈ 67475
The stem-and-leaf plot shows the distances, in miles, that a group of owners of new cars drove one weekend.
How many of the owners drove between 50 and 65 miles?
What is 1/6 equal to as a fraction
Answer: 2/12
3/18
4/24
Step-by-step explanation:
Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850
This question is incomplete, the complete question is;
Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850 at least 6 out of 10 business day
Answer:
P( at least 6 out of 10 business days ) = 0.6312
Step-by-step explanation:
Given the data in the question;
p = 60% = 0.6
q = 1 - p = 1 - 0.6 = 0.4
Using Binomial distribution;
P( X = r ) = [tex]^nC_r p^rq^{n-r[/tex]
where [tex]^nC_r = n!/(r!(n-r))[/tex]
we substitute
P( at leas 6 ) = P(6) + P(7) + P(8) + P(9) + P(10)
= [¹⁰C₆ × 0.6⁶ × 0.4⁴] + [¹⁰C₇ × 0.6⁷ × 0.4³] + [¹⁰C₈ × 0.6⁸ × 0.4²] + [¹⁰C₉ × 0.6⁹ × 0.4¹] + [¹⁰C₁₀ × 0.6¹⁰ × 0.4⁰]
= [0.250] + [0.214] + [0.1209] + [ 0.0403] + [ 0.00604 ]
= 0.6312
Therefore, P( at least 6 out of 10 business days ) = 0.6312
