Answer:
b.
Step-by-step explanation:
9. A person is sitting on a 30 foot pier overlooking the ocean. His eye level is 3 feet above the
pier. He sees a whole surface in the ocean. If the angle of depression of the whale is 20", how
far is the whale from his eyes?
Answer:
90.67feet
Step-by-step explanation:
Given that α = 20°
Tan α = opp/adj......... 1
Opp = 33feet
Adj = x
Substitute the values into equation 1
Tan 20° = 33feet/adj
0.36397 = 33/adj
0.36397×adj = 33
Adj = 33/0.36397
Adj = 90.666
Recall, adj = x = 90.666feet
x = 90.67feet
Hence, the whale is 90.67feet far from the eyes
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 27% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let X denote the number among the four who have earthquake insurance.
(a) Find the probability distribution of X. [Hint: Let S denote a homeowner that has insurance and F one who does not. Then one possible outcome is SFSS, with probability (0.27)(0.73)(0.27)(0.27) and associated X value 3. There are 15 other outcomes.] (Round your answers to four decimal places.)
x 0 1 2 3 4
p(x) ___ __ __ __ __
(c) What is the most likely value for X?
(d) What is the probability that at least two of the four selected have earthquake insurance? (Round your answer to four decimal places.)
Answer:
a)
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
c) The most likely value for X is 1.
d) 0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
Step-by-step explanation:
For each homeowner, there are only two possible outcomes. Either they are insured against earthquake damage, or they are not. Homeowners are independent. This means that we use the binomial probability distribution to solve this question.
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.
27% of all homeowners are insured against earthquake damage.
This means that [tex]p = 0.27[/tex]
Four homeowners are to be selected at random.
This means that [tex]n = 4[/tex]
(a) Find the probability distribution of X.
This is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.27)^{0}.(0.73)^{4} = 0.2840[/tex]
[tex]P(X = 1) = C_{4,1}.(0.27)^{1}.(0.73)^{3} = 0.4201[/tex]
[tex]P(X = 2) = C_{4,2}.(0.27)^{2}.(0.73)^{2} = 0.2331[/tex]
[tex]P(X = 3) = C_{4,3}.(0.27)^{3}.(0.73)^{1} = 0.0575[/tex]
[tex]P(X = 4) = C_{4,4}.(0.27)^{4}.(0.73)^{0} = 0.0053[/tex]
So the probability distribution is
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
(c) What is the most likely value for X?
P(X = 1) has the highest probability, so X = 1 is the most likely value.
(d) What is the probability that at least two of the four selected have earthquake insurance?
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.2331 + 0.0575 + 0.0053 = 0.2959[/tex]
0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
At a popular rock-climbing site in Yosemite National Park, a randomly selected
Answer:
please be more specific
Step-by-step explanation:
Given the polynomials p(x) and g(x), which of these are guaranteed to be polynomials, too?
Select all that apply.
p(x) + g(x)
p(x) = g(x)
p(x) 9(%)
p(x) - g(x)
OK SOMEONE PEASE AWSNWER THISD
Martha drew a triangle with angle measures 60°, 60°, and 60°, and side lengths 6 cm, 6 cm, and 6 cm. What kind of triangle did Martha draw?
A. acute, equilateral
B. acute, scalene
C. right, isosceles
D. obtuse, scalene
Answer:
A
Step-by-step explanation:
hryhrhdvshzhsbdyxhdbdhxhbd
Answer:
A
Step-by-step explanation:
i dunno but its right! stay safe stay healthy <3
Use technology to find points and then graph the line y = 5/3x – 1
Answer:
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
y-int = (0, -1)
x-int. = (3/5, 0)
good luck, i hope this helps :)
how much of a radioactive kind of protactinium will be left after 28 hours if you start with 672 grams and the half-life is 7 hours?
Answer:
Step-by-step explanation:
672·0.5^(28/7) = 672·0.5⁴ = 42 grams
HELP ME !!!!?? Brainliest if right
Evaluate the following expression:
7× + 5y
Answer:
I think this question is incomplete or maybe incorrect but if it's OK then the answer would be 7x + 5y.
Step-by-step explanation:
the answer remains the same because the question has no like terms so no further calculations can be made.
Help this is trigonometry I think 35 points!!
Answer:
y = 16.3
Step-by-step explanation:
We would apply the formula for altitude of a right triangle which is given as:
h = √(xy)
Where,
h = 14
x = 12
y = y = ?
Plug in the values
14 = √(12*y)
14² = (√(12*y) (squaring both sides)
196 = 12*y
196/12 = 12y/12 (division property of equality)
16.3 = y (nearest tenth)
y = 16.3
PLEASE HELP!
find BC
9/12 ÷ 3/12 = ??????
Answer: 9/12 ÷ 3/12 is 3.
Step-by-step explanation: Do the KFC.
K. Keep.
F. Flip the second term to 12/3.
C. Change the ÷ into ×. Then, solve.
9 x 12 is 108, and 3 x 12 is 36.
108 ÷ 36 = 3.
Alex's car depreciates in value by 18% per year.
Alex bought his car for £34000.
Work out how much his car will be worth after 5 years ?
Answer:
£12605.15
Step-by-step explanation:
Compound interest formula
34000(1-0.18)^5
The worth car after 5 years will be £12,605.15.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 \pm r \right ) ^{t}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
Alex's vehicle deteriorates in esteem by 18% each year. Alex purchased his vehicle for £34000. Then the worth car after 5 years will be given as,
A = 34,000 (1 - 0.18)⁵
A = 34,000 x (0.82)⁵
A = 34,000 x 0.3707
A = £12,605.15
The worth car after 5 years will be £12,605.15.
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ5
Square PQRS has vertices P(-3,0), Q(0,4), R(4,1), and S(1,-3). Determine the area of the square.
Answer:
Step-by-step explanation:
length of PQ = √[(0-(-3))²+(4-0)²] = 5
area of square = 5² = 25 units²
Answer:
Step-by-step explanation:
all of them are congruent
Need help pls ASAP 6th grade math
Answer:
don't know
Step-by-step explanation:
umm
Find the approximate circumference, in terms of π, of chicken pie that had a radius of 3.25 inches.
A) 3.25 πin.
B) 6.5 πin.
C) 20 πin.
D) 1.625 πin.
Answer:
B
Step-by-step explanation:
I Had this
Help me with the math promblem plz
Answer:
I believe it's the last one, if you start from the lowest vertex it would be M'H'I'J'K'L'
noel is who is 18meters away from point P on the ground is flying kite directly above point P. if the string of the kite is 25cm. long from noel, how high is the kite from point P? round of your number to the nearest hundredths of meters.
Answer:
18 meters because the 18 meters away from kite is the same as point p
What's 16/12 + 11/6?
Answer:
It's 3 1/6 :) I hope it helps
3. Paulo can jog 20 miles in 5 hours. At this rate, how many miles can Paulo jog in 4 hours? *
Answer:
16 miles
Step-by-step explanation:
20/5= 4 mph
4x4=16
Consider the graph of the function
f(x)=2^x
Answer:
D. The y-intercept is at (0,2)
Step-by-step explanation:
f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x
In the exponential function ab^x a is the y-intercept (in this case a is 2)
Y-intercept of g(x) at (0,2) which is correct option(D).
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
f(x) = 2ˣ
g(x) = 2f(x) = 2(2ˣ)
The y-intercept of g(x) = 2f(x),
Substitute in 0 for x and solve for y
y=2(2⁰)
Anything raised to 0 is 1 .
y=2
Y-intercept in point form.
Hence, y-intercept of g(x) : (0,2)
Learn more about Graph here :
https://brainly.com/question/16608196
#SPJ5
What is the distance between the points (6,2) and (1,-5)
PLEASE ANSWER QUICK
Answer:
[tex]\displaystyle d = \sqrt{74}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 2) → x₁ = 6, y₁ = 2
Point (1, -5) → x₂ = 1, y₂ = -5
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{74}[/tex]Help again last question
Answer:
5 cubes. 5 cubes. 4 cubes 5 cubes
Step-by-step explanation:
is easy and no hard
What is the slope of the line that passes through the points (-4, 8) and (-14, 8) ? Write your answer in simplest form.
Answer:
the slope is 0
Step-by-step explanation:
Answer:slope, m=0
Step-by-step explanation:
using the slope formula m=y2-y1/x2-x1
m=8-8/-14-4 = 0/-10
m=0
Which of the following is a property of all rectangles?
A. The diagonals are congruent.
B. There is 1 pair of parallel opposite sides.
C. The diagonals are perpendicular.
D. There are 4 congruent sides.
Answer:
its the final anwser d because they have 4 congruent sides search it up
The property of all rectangles is A. The diagonals are congruent.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
The properties of rectangles are:
A rectangle is a quadrilateral
The opposite sides are parallel and equal.
Each interior angle is equal to 90 degrees or right angle.
The diagonals bisect each other and Both the diagonals have the same length
All angles are right angles in the rectangle. The diagonals are congruent And it's a parallelogram
The correct answer is A. The diagonals are congruent.
Learn more about rectangle here:
https://brainly.com/question/4887838
#SPJ2
The number of people signed up for a bus trip increased from 32 to 45 what is the percent increase round to the nearest percent
Answer:
40.6%
Step-by-step explanation:
first find the increase (increase = 45 - 32) = 13
second divide increase by OG # (13 / 32) = 0.40625
then you multiply by 100
Answer:
41%
Step-by-step explanation:
Based on a​ survey, assume that ​48% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when consumers are randomly​ selected, exactly of them are comfortable with delivery by drones. Identify the values of​ n, x,​ p, and q. The value of n is ______.
Answer:
The value of n is the size of the sample, the number of customers selected.
The value of p is 0.48.
The value of q is 0.52.
Step-by-step explanation:
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.
48% of consumers are comfortable having drones deliver their purchases.
This means that [tex]p = 0.48, q = 1 - p = 1 - 0.48 = 0.52[/tex]
The value of n is the size of the sample, the number of customers selected.
solve the equation for x and list all possible value for x. [x-9]+2=5
absolute value.
Answer:
(4-9)+2=5
Step-by-step explanation:
hope it's it's right
The equation of a circle is given below.
(x +12)2 + (y - 9)2 = 35
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
Answer:
center = (-12, 9)
radius = 5.92 (rounded)
Step-by-step explanation:
XYZ has vertices X(3. -4), Y(6, 5), and Z(8, -2).find the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4
The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).
Scale factor = 4
Here, X(3, -4)→4(3, -4)→X'(12, -16)
Y(6, 5)→4(6, 5)→Y'(24, 20)
Z(8, -2)→4(8, -2)→Z'(32, -8)
Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ2