A 16 ft ladder leans against the side of a house. The bottom of the ladder is 9 ft away from the side of the house. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree. (plz help listing BRAINLIST)
Answers
Answer:
55.8
Step-by-step explanation:
cos(x)=9/16
x=55.8
The angle of elevation of the ladder is approximately 60.5 degrees.
To find the angle of elevation (x) of the ladder, we can use trigonometry. The ladder, the side of the house, and the ground form a right triangle. The length of the ladder is the hypotenuse of the right triangle, and the distance from the bottom of the ladder to the house is one of the legs.
Using the tangent function:
tan(x) = opposite/adjacent
tan(x) = 16 ft / 9 ft
Now, solve for x:
x = arctan(16/9)
Using a calculator, we find
x ≈ 60.5 degrees
So, the angle of elevation of the ladder is approximately 60.5 degrees.
To know more about probabilities here
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Related Questions
Decide which project the most profitable is by:
(a) Determining the NPV at a discount rate of 6.5%. (8 marks)
(b) The IRR. ?
Answers
Answer:
Project A :
NPV : $703,888.64
IRR : 44.882%
Project B:
NPV : $5,241.26
IRR : 49.662%
Project B is more profitable
Step-by-step explanation:
The NPV gives the difference between the present value of cash inflow and cash outflow over a certain period of time.
The Internal rate of return is the discount rate which makes the NPV of an investment 0. It is used to estimate the potential return on an investment. Investments with higher IRR are said to be better than those with lower IRR value.
Using the net present value, (NPV) Calculator, the NPV for project A is : $703,888.64
The IRR of project A is : 44.882%
The NPV for Project B is : $5,241.26
The Internal rate of return (IRR) : 49.662%
From the Internal rate of return value obtained, we can conclude that, project B is more profitable as it has a higher IRR than project A.
what is 1+544 please somone tell me or i wikl fail mah test qwq
Answers
Answer:555
Step-by-step explanation:
Answer:
545
Step-by-step explanation:
you are just adding one
544+1=
What is the range of the given function?
Answers
Answer:
-2
Step-by-step explanation:
range is y values
Answer:
-2
Step-by-step explanation:
That's the minimum range, which is basically the lowest point on the y-axis that the line touches
For a rock concert a rectangular field of size 100 m by 50 m was reserved for the
audience.
The concert was completely sold out and the field was full with all the fans standing.
Which one of the following is likely to be the best estimate of the total number of people
attending the concert?
2000
5000
20000
50000
100000
Answers
Answer:
5000
Step-by-step explanation:
but this depends upon how much room each person needs
What is the equation, written in vertex form, of a parabola with a vertex of (–2, 6) that passes through (1, –3)?
Answers
Answer:
Step-by-step explanation:
( x - 1 )2 + ( y + 3 )2 = 90
A student solves for v
Which statement explains how to correct the error that was made?
The subtraction property of equality should have been applied to move m to the other side of the equation.
O The multiplication property of equality should have been applied before the division property of equality.
The division property of equality should have been applied to move the fraction to the other side of the equation.
The square root property should have been applied to both complete sides of the equation instead of to select variables.
Answers
Answer:
D (The square root property should have been applied to both complete sides of the equation instead of to select variables)
Step-by-step explanation:
On edge 2021
3. The simple interest on $6,000 for 4 years is $1,680. *
Answers
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...
Well, Anita, I am glad to help out... Don't forget to rate my answer:)
what is the approximate surface area of a cylinder with a radius of 3 inches and a height of 10 inches?
1. 30in^2
2. 87in^2
3. 217in^2
4. 245in^2
Answers
Curved surface = 2pi x r x h = 2 x 3.1 x 3 x 10 = 186
2 ends = 2 x (Pi x r x r) = 2 x 3.1 x 3 x 3 = 55.8
Total area = 186 + 55.8 = 242in^2 approximately
The average marks for 25 students in a mathematics was was 48.
what was the total marks scored by the students?
Answers
Answer:
total of the data points = 1200
Step-by-step explanation:
The 'average' of a data set is the total of the data points divided by the number of data points.
Here:
total of the data points
---------------------------------- = 48
25
Multiplying both sides of this equation by 25 yields:
total of the data points = 1200
Bro i dont know what the x is tbh
Answers
PLEASE HELPPPPPPPP MEEE PLEASE!
Answers
Answer:
Root Multiplicity
-4 2
-1 2
2 1
5 3
---------------------------
y = a(x + 4)²(x + 1)²(x - 2)(x - 5)³
find "a" using point (0, 20000)
20000 = a(0 + 4)²(0 + 1)² (0 - 2)(0 - 5)³
20000 = a(16)(1)(-2)(-125)
20000 = a (4000)
a = 20000/4000
a = 5
y = 5(x + 4)²(x + 1)²(x - 2)(x - 5)³
Consider randomly selecting a single individual and having that person test drive different vehicles. Define events , , and by Suppose that , , , , , and . What is the probability that the individual likes both vehicle
Answers
Answer:
[tex]P(A_1\ n\ A_2) = 0.40[/tex]
Step-by-step explanation:
Let:
[tex]A_1 \to[/tex] An Individual likes vehicle 1
[tex]A_2 \to[/tex] An Individual like vehicle 2
[tex]P(A_1) = 0.55[/tex]
[tex]P(A_2) = 0.65[/tex]
[tex]P (A_1\ u\ A_2 ) = 0.80[/tex]
Required
[tex]P(A_1\ n\ A_2)[/tex] --- probability that both vehicles are liked by the individual.
This is calculated as:
[tex]P(A_1\ n\ A_2) = P(A_1) + P(A_2) - P(A_1\ u\ A_2)[/tex]
So, we have:
[tex]P(A_1\ n\ A_2) = 0.55 + 0.65 - 0.80[/tex]
[tex]P(A_1\ n\ A_2) = 0.40[/tex]
A Driver’s Ed program is curious if the time of year has an impact on number of car accidents in the U.S. They assumethat weather may have a significant impact on the ability of drivers to control their vehicles. They take a randomsample of 150 car accidents and record the season each occurred in. They found that 27 occurred in the Spring, 39 inthe Summer, 31 in the Fall, and 53 in the Winter.
Required:
Can it be concluded at the 0.05 level of significance that caraccidents are not equally distributed throughout the year?
Answers
Answer:
p-value = 0.0145
Hence, Since p-value ( 0.0145 ) is less than significance level ( 0.05 )
we reject null hypothesis.
Therefore, there is sufficient evidence to conclude that Car accidents are NOT equally distributed throughout the year
Step-by-step explanation:
Given the data in the question;
Hypothesis;
Null hypothesis : H₀ : Car accidents are equally distributed throughout the year
Alternative hypothesis : Hₐ : Car accidents are NOT equally distributed throughout the year
significance level ∝ = 0.05
x ;
Spring = 27
Summer = 39
Fall = 31
Winter = 53
Test Statistics;
Chi Square = ∑[ (O – E)²/E ]
O E (O – E)²/E
Spring 27 37.4 2.94
Summer 39 37.4 0.06
Fall 31 37.4 1.1267
Winter 53 37.4 6.4067
Total 150 150 10.5334
so; z = ∑[ (O – E)²/E ] = 10.5334
{from table}
p-value = 0.0145
Hence, Since p-value ( 0.0145 ) is less than significance level ( 0.05 )
we reject null hypothesis.
Therefore, there is sufficient evidence to conclude that Car accidents are NOT equally distributed throughout the year
In this exercise we have to use probability knowledge to calculate the distribution during the year, so we find that:
There is sufficient evidence to conclude that car accidents are not equally distributed throughout the year.
Given the data in the question;
[tex]Null \ hypothesis: H_0[/tex][tex]Alternative \ hypothesis : H_a[/tex] [tex]Significance\ level = 0.05[/tex]Now the values given in the statement can be exemplified below as:
[tex]Spring = 27[/tex][tex]Summer = 39[/tex][tex]Fall = 31[/tex][tex]Winter = 53[/tex]In this way, we can assemble a table of values with the statistical data previously informed and using the formula given below:
[tex]Z=\sum[\frac{(O-E)^2}{E}][/tex]
[tex]Z = 10.5334[/tex]
So:
[tex]\ \ \ \ \ \ \ \ \ \ \ O \ \ \ \ \ E \ \ \ \ (O - E)^2/E\\Spring \ \ 27 \ \ 37.4 \ \ \ \ 2.94\\Summer \ 39 \ 37.4 \ \ \ \ 0.06\\Fall \ \ \ \ \ \ 31 \ 37.4 \ \ \ \ 1.1267\\Winter \ \ \ 53 \ 37.4 \ \ \ 6.4067\\Total \ 150 150 \ 10.5334[/tex]
Hence, Since pvalue ( 0.0145 ) is less than significance level ( 0.05 ), so we reject null hypothesis.
See more about probability at brainly.com/question/795909
(10 points)Assume IQs of adults in a certain country are normally distributed with mean 100 and SD 15. Suppose a president, vice president, and secretary of state are chosen randomly from the adults in the country, with each adult having an equal chance to be assigned each of the 3 jobs. What is the probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130
Answers
Answer:
0.0139 = 1.39% probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.
Step-by-step explanation:
To solve this question, we need to use the binomial and the normal probability distributions.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
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.
Probability the president will have an IQ of at least 107.5
IQs of adults in a certain country are normally distributed with mean 100 and SD 15, which means that [tex]\mu = 100, \sigma = 15[/tex]
This probability is 1 subtracted by the p-value of Z when X = 107.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{107.5 - 100}{15}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 probability that the president will have an IQ of at least 107.5.
Probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.
First, we find the probability of a single person having an IQ of at least 130, which is 1 subtracted by the p-value of Z when X = 130. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 100}{15}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772.
1 - 0.9772 = 0.0228.
Now, we find the probability of at least one person, from a set of 2, having an IQ of at least 130, which is found using the binomial distribution, with p = 0.0228 and n = 2, and we want:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.9772)^{2}.(0.0228)^{0} = 0.9549[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 0.0451[/tex]
0.0451 probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.
What is the probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130?
0.3085 probability that the president will have an IQ of at least 107.5.
0.0451 probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.
Independent events, so we multiply the probabilities.
0.3082*0.0451 = 0.0139
0.0139 = 1.39% probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.
A (non-zero) number multiplied by zero equals zero, whereas a non-zero number divided by zero is undefined.
a. True
b. False
Answers
If two standard, six-sided die were rolled and the numbers that turned up on each were added together, which of the following would be the probability their sum would be equal to 4?
Answers
Answer:
3/36 or 8.333
Step-by-step explanation:
the way you get it is write all the possibilities and that how you get 3/36
3/7-2/14+1/21
What is the answer to this
Answers
Answer:
1/3
Step-by-step explanation:
Hope this is useful even though there isn't any working
We’ll first reduce the second of the fractions and get a common denominator for the first 2 of 7. Then we’ll finish with the common denominator of 21:
3/7 - 2/14 + 1/21
= 3/7 - 1/7 + 1/21
= 2/7 + 1/21
Multiply the first fraction by 3/3
= 6/21 + 1/21
= 7/21
Reduce to 1/3
Given that events A and B are independent with P(A) = 0.55 and P(B) = 0.72,
determine the value of P(AB), rounding to the nearest thousandth, if necessary.
Answers
Answer:
Step-by-step explanation:
For independent events,
P(AB)=P(A)orP(B)
= P(A)uP(B)
=P(A)×P(B)
= 0.55×0.72
P(AB)=0.396
In a marketing survey, a random sample of 1020 supermarket shoppers revealed that 268 always stock up on an item when they find that item at a real bargain price.
a. Find a 95% confidence interval for p?
b. What is the margin of error based on a 95% confidence interval?
Answers
Answer:
a) 95% of the confidence intervals created using this method would include the true proportion of shoppers who stock up on bargains.
b) Margin of error = 0.0270.
Step-by-step explanation:
a)
[tex]\hat{p}[/tex] = point estimate of p [tex]= 268/1020 =0.2627[/tex]
[tex]\hat{q}= 1 - 0.2627 = 0.7373[/tex]
[tex]SE = \sqrt{\hat{p}\hat{q}/n}\\\\=\sqrt{0.2627\times 0.7373/1020}=0.0138\\\alpha = 0.05[/tex]
From Table, critical values of [tex]Z= \pm1.96[/tex] ,
Lower limit
[tex]= \hat{p} - Z SE\\ = 0.2627 - (1.96 X 0.0138) \\ = 0.2627 - 0.0276 \\ = 0.236[/tex]
upper limit = 0.2627 + 0.0276
= 0.2903
Correct option:
95% of the confidence intervals created using this method would include the true proportion of shoppers who stock up on bargains.
b) Margin of error =Z SE
= 1.96 X 0.0141
= 0.0270.
I need help with #1 . Please help. I have to show all work so please explain
Answers
Answer:C=10
Step-by-step explanation:
Follow along with the picture below
The formula for this type of problem is a^2+b^2=c^2
We know that 6=a and 8=b so we fill in the formula and square them
we then add the two values we got which get us to 100=c^2
we want to get rid of that square with we square root bothe sides and get c and the square root of 100 is 10.
So C=10
Study the adjoining figure and then explain why x = y
Answers
Answer:
Step-by-step explanation:
y is the remote exterior angle. The remote exterior angle has the strange property that it is equal to the two remote interior angle. The two remote interior angles are the two, neither of which is the supplement of the exterior angle
So y = x/2 + x/2 which are marked as being opposite equal angles.
1/2 x + 1/2 x = x
y by substitution is = x /2 + x/2
y = x
36 apples cost $6. How many apples can you buy for $1?
Answers
Answer: you can buy 6apples for$1
Step-by-step explanation: you divide 36 by 6 and get 6 so it’s 6apples.
How to calculate raw score from standard score and percentile rank?
Answers
Answer:
Step-by-step explanation:
Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.
Which equation can be used to find m, the midpoint of the two numbers?
(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99
Answers
Answer:
[tex]m {}^{2} - 100 = - 99[/tex]
Step-by-step explanation:
Set up the binomial.
[tex](m - 10)[/tex]
[tex](m + 10)[/tex]
Multiply the binomial.
[tex](m - 10)(m + 10) = - 99[/tex]
Apply difference of squares rule
[tex](p + q)(p - q) = p {}^{2} - q {}^{2} [/tex]
[tex]m {}^{2} - 100 = - 99[/tex]
Answer: m^2-100=-99
Step-by-step explanation:
Set up the binomial.
(m-10)
(m+10)
Multiply the binomial.
(m-10)(m+10)=-99
Apply difference of squares rule
(p+q)(p-q) = p2-q2
Answer: m^2-100=-99
help please. I cant figure it out and it’s hard.
Answers
Answer:
The student is comparing the different heart rates due to the temperature. The independent variable is the Temperature and the dependent variable is the beats of the heart from the larva.
If a triangle has angles of X+2, 2x, and 55. What are the three angle
measurements?
Answers
Answer:
41, 43 and 82
Step-by-step explanation:
hope it may help you
1. tu no eres linda eres.
2. tu no eres buena tu eres.
3. tu no te metas en la cama tú te.
Answers
Find the measure of theta to the nearest tenth helpppp pleaseeee
Answers
Answer:
54.3°
Step-by-step explanation:
sinθ=opposite/hypotenuse
sinθ=26/32
sinθ=0.8125
θ=54.3°
Suppose that $2000 is invested at a rate of 4%, compounded semiannually. Assuming that no withdrawals are made, find the total amount after 5 years. Do not round any intermediate computations, and round your answer to the nearest cent.
Answers
Answer:
Step-by-step explanation:
A = P(1+r/n)^ nt
A = 2000(1+.04/2)^(5*2)
A = [tex]2000(1.02)^{10}[/tex] = $2437.99
Find the volume V and surface area S of a
rectangular box with length 2 meters, width 6 meters,
and height 9 meters.
Answers
Answer:
Surface area add together all 6 sides = 24+36+108=168m^2
Volume L x W x D = 2 x 6 x 9 = 108 m ^3
Step-by-step explanation:
2 x 6 = 12
12 x 2 = 24 base and top
2 x 9 = 18
2 x 18 = 36 identical pair sides
6 x 9 = 54
2 x 54 = 108 identical pair sides
Surface area add together all 6 sides = 24+36+108=168m^2
Volume L x W x D = 2 x 6 x 9 = 108 m ^3
Just keep in mind these formulas:
Volume of rectangular prism:
Length • width • height
Surface Area of a rectangular prism:
2 (lw + hl + hw)
Where l is height, w is width, and and h is height.
Hope this absolutely helps! Have a nice day