Answer: The probability when neither of the accidents is severe and at most one is moderate is 0.65
Step-by-step explanation:
Given values:
Probability when the accident is minor = 0.5
Probability when the accident is moderate = 0.4
Probability when the accident is severe = 0.1
As two accidents are occurring independently and we need to calculate the probability of an event that neither accident is severe and at most one is moderate.
So, the equation for the probability becomes:
[tex]=\text{P[moderate, minor]}+\text{P[minor, moderate]}+\text{P[minor, minor]}\\\\= (\text{P[moderate]}\times \text{P[minor]}) + (\text{P[minor]}\times \text{P[moderate]}) + (\text{P[minor]}\times \text{P[minor]})[/tex]
Putting values in above equation, we get:
[tex]=[(0.40)\times (0.5)] + [(0.5)\times (0.4)] +[((0.5)\times (0.5)]\\\\= 0.65[/tex]
Hence, the probability when neither of the accidents is severe and at most one is moderate is 0.65
In parallelogram JKLM if m
Answer:
155 degree
Step-by-step explanation:
x + 25 = 180 degree (sum of adjacent angles of a parallelogram are equal)
x = 180 - 25
x = 155 degree
In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?
Answer:
18
Step-by-step explanation:
Find the diagram attached
From the diagram
PR + RQ = PQ
PR + RQ = 38
PR = 38 - RQ
using similar triangle;
KQ/RQ = KP/PR
45/RQ = 50/38-RQ
Cross multiply
50RQ = 45(38-RQ)
50RQ = 1710 - 45RQ
50RQ + 45RQ = 1710
95RQ = 1710
RQ = 1710/95
RQ = 18
Hence the length of RQ is 18
A line has slope Four-thirds. Through which two points could this line pass? a. (24, 19), (8, 10) b. (10, 8), (16, 0) c. (28, 10), (22, 2) d. (4, 20), (0, 17) Please select the best answer from the choices provided A B C D
Answer:
a and c
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
i got it right
What is the area of a regular hexagon (6 sides) whose
ℎ ℎ 6 ℎ ℎ ℎ ℎ 3√3 ? Show work
A) 54√3 2
B) 36√3 2
C) 108√3 2
D) 18√3 2
Step-by-step explanation:
With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.
The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:
tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem
As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:
Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2
=> Shexagon=6×62√3=216
What is one way to determine if two fractions are equivalent?
Answer
Two fractions are equivalent fractions when they represent the same part of a whole. Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator.
It is reported in USA Today that the average flight cost nationwide is $445.99. You have never paid close to that amount and you want to perform a hypothesis test that the true average is actually greater than $445.99. What are the appropriate hypotheses for this test
Answer:
[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]
[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]
Step-by-step explanation:
It is given the average cost of the flight nationwide is $ 445.99
I wanted to [tex]\text{perform the hypothesis test}[/tex] to determine that the true average is greater than $ 445.99
Let the hypothesis that the true average is actually greater than $445.99
Therefore,
the [tex]\text{null hypothesis}[/tex] for the test is :
[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]
And the alternate hypothesis is :
[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]
HELP ME PLS I SUCK AT MATH I NEED ANSWER ASAP
please helppppppppp me
Tom and his four friends are going to a baseball game. If the total amount they spent on tickets was $50, how much did they spend on each ticket?
12.50 on each ticket
Step-by-step explanation:
12.50 x 4 = 50.00
A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12) = 4.00. If the researcher had used an ANOVA to evaluate the data, what F-ratio would be obtained?
a. F(1, 11) = 2.00
b. F(1, 12) = 16.00
c. F(1, 12) = 2.00
d. F(1, 11) = 16.00
Answer:
B). F(1, 12) = 16.00
Step-by-step explanation:
'ANOVA' is a measure employed for 'analysis of a variance' in a given set of data of treatments or populations. While t-test helps in comparing their means.
As per the question, the F-ratio using ANOVA would be 'F(1, 12) = 16.00.' In order to calculate the variances, the distinction among the samples. The б^2 denotes the difference of representative means which is augmented by n(in case of samples being same). So, the ratio of F(1, 12) would be б^2 i.e. 4^2 = 16 since the sample sizes are distinct. Thus, option B is the correct answer.
what is the slope of the line that passes through (7,-3) and (-5,-1)
Answer:
i dont know
Step-by-step explanation:
You can check your answers with math-way if you want I haven't done this in a while but I'm sure I've answered questions involving slope many times, you can take a look at them.
Remember that y2 - y1 / x2 - x1 = m
m= slope
the two solids below are similar and the ratio between the lengths of their edges is 4:7 what is the ratio of their surface areas? A 7:4 B 16:49 C 16:29 B 64:343
9514 1404 393
Answer:
B. 16:49
Step-by-step explanation:
The area ratio is the square of the edge length ratio:
area ratio = (4:7)² = 4²:7² = 16:49
_____
It might help you to recall that area is the product of two linear dimensions if each is multiplied by 4/7, the resulting product will be multiplied by (4/7)².
A = LW
A' = (4/7L)(4/7W) = (4/7)²(LW) = (16/49)·A
9-3(x-6) = 2(x-4)-10
Answer: x = 9
Step-by-step explanation: your welcome
Answer:
x=9
Step-by-step explanation:
9-3(x-6)=2(x-4)-10
9-3x+18=2x-8-10
9-3x+18=2x-18
9+3x+18=+3x-18
9+18=5x-18
9+18=5x+18
45=5x/5
45/5 = x
9=x
I have a linear equation word problem pic to follow
Find the value for the side marked below.
Round your answer to the nearest tenth.
61°
135
y
y = = [?]
Answer:
[tex]65.4[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
[tex]\cos 61^{\circ}=\frac{y}{135},\\t=135\cos 61^{\circ}=65.4492987333\approx \boxed{65.4}[/tex]
A shoreline observation post is located on a cliff such that the observer is 280 feet above sea level. The observer spots a ship approaching the shore and the ship is traveling at a constant speed.
Requried:
a. When the observer initially spots the ship, the angle of depression for the observer's vision is 6 degrees. At this point in time, how far is the ship from the shore?
b. After watching the ship for 43 seconds, the angle of depression for the observer's vision is 16 degrees. At this point in time, how far is the ship from the shore?
Using the slope concept, it is found that the distances from the shore at each moment are given by:
a) 2664 feet.
b) 976 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
Item a:
The vertical distance is of 280 feet, with an angle of 6º. The distance from the shore is the horizontal distance of x. Hence:
[tex]\tan{6^\circ} = \frac{280}{x}[/tex]
[tex]x = \frac{280}{\tan{6^\circ}}[/tex]
x = 2664.
Item b:
The vertical distance is of 280 feet, with an angle of 16º. The distance from the shore is the horizontal distance of x. Hence:
[tex]\tan{16^\circ} = \frac{280}{x}[/tex]
[tex]x = \frac{280}{\tan{16^\circ}}[/tex]
x = 976.
More can be learned about the slope concept at https://brainly.com/question/18090623
HELPPP PLEASEEESSS
Which best describes the triangle?
acute and scalene
80
right and isosceles
6 in.
6 in.
1)) obtuse and isosceles
50°
50°
7.7 in.
acute and isosceles
Answer:
acute and isosceles
Step-by-step explanation:
Define:
Acute - All angles have a measure of less than 90 degrees
Obtuse - has an angle with a measure of more than 90 degrees
Right - has an angle with a measure of 90 degrees
Scalene - no congruent side lengths or angles
Isosceles - two congruent sides and two congruent angles
Equilateral - all congruent sides and all congruent angles
Identify:
The triangle shown has angles that measure less than 90 degrees which means that it's an acute triangle
The triangle also has two congruent sides and two congruent angles which means that it's an isosceles triangle.
So we can conclude that the triangle can be identified as an acute isosceles
Can y’all help me on question 6?!
Answer:
B
Step-by-step explanation:
To find the area of a parallelogram you do A=(b)(h) so 20x8=160. It's 160ft^2 because area is measured in square units.
What is the distance of -55 from zero?
Answer:
55
Step-by-step explanation:
The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.
Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed? DO NOT ANSWER JUST TO STEAL MY POINTS!!
Answer:
70 feet
Step-by-step explanation:
Given
[tex]Sides: 23ft, 15ft, 32ft[/tex]
Required
The tape needed
This implies that we calculate the perimeter (P)
This is calculated as:
[tex]P = \sum sides[/tex]
So:
[tex]P = 23ft +15ft + 32ft[/tex]
[tex]P = 70ft[/tex]
Answer:
dude why does it say your in college?!?
Step-by-step explanation:
Also I DON'T KNOW just kidding um before some fork tard deletes my answer Hi how are you????
A dictionary has 88,728 words. Out of that Mohan read 35,427 words. How many words are left for him to read?
[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]
Total number of words in the dictionary = 88,728 words
No. of words that Mohan read = 35,427 words
[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]
No. of words left for Mohan to read.
[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]
[tex]\sf\purple{53,301 \:words. }[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
No. of words left for Mohan to read = Total no. of words in the dictionary - No. of words that Mohan read
= ( 88, 728 - 35, 427 ) words
= 53,301 words
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]
calculate 3ab + b for a=2 and b=-3
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
100, 20, 4, ...
Answer:
its a geometric progression. r=1/5 or 0.2
A store only sells 20-pound bags of ice. Over the weekend, the store sells 800 bags of ice, making $3,400. On Monday, the store sells 80 bags of ice. How much money does the store make selling ice on Monday?
The amount of money the store makes selling ice by the same ratio will be $340.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
The store sells 800 bags of ice, making $3,400.
Ratio = 3400/800
With the same ratio,
The store sells x amount of bags of ice,
x/80 = 3400/800
x = $340
Hence "The store will make $340 from selling ice using the same ratio".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
Find the area of the figure round to the nearest tenth
Answer:
Area of given figure = 60.8 mm² (Approx.)
Step-by-step explanation:
Given:
Length of figure = 9.3 mm
Width of figure = 7.8 mm
Height of triangular cut = 3 mm
Find:
Area of given figure
Computation:
Area of given figure = [(Length)(Width)] - Area of triangle
Area of given figure = [(9.3)(7.8)] - [(1/2)(b)(h)]
Area of given figure = [(9.3)(7.8)] - [(1/2)(7.8)(3)]
Area of given figure = [(9.3)(7.8)] - [(1/2)(7.8)(3)]
Area of given figure = [72.54] - [(1/2)(7.8)(3)]
Area of given figure = [72.54] - [11.7]
Area of given figure = 60.8 mm² (Approx.)
Which conditional statement is represented by the Venn diagram below?
Quadrilateral
Square
A. If a shape is a square, then it is a quadrilateral.
B. If a shape is a square, then it is not a quadrilateral.
0
C. If a shape is a quadrilateral, then it is a square.
D. If a shape is a quadrilateral, then it is not a square.
The sum of two integers is 1. Their difference is 7. What are
the two integers?
A
6 and -1
B 2 and -3
C 4 and -3
D
-10 and -3
Answer:
The two integers are C, 4 and -3.
Step-by-step explanation:
When you add 4 and -3 you get 1, when you subtract them you get 7.
7056 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows and the number of plants in each row
Answer:
84 rows
84 plants on each row
Step-by-step explanation:
Given
[tex]Plants = 7056[/tex]
Required
The number of rows
Since the number of rows (r) and the plants on each row (p) are the same, then the area to be planted on is:
[tex]Plants = r * p[/tex]
Where
[tex]r =p[/tex]
So, we have:
[tex]Plants = r * r[/tex]
[tex]Plants = r^2[/tex]
This gives:
[tex]7056 = r^2[/tex]
Take square roots
[tex]84 = r[/tex]
Rewrite
[tex]r = 84[/tex]
0.135 written as a fraction is
Answer:
[tex] \frac{27}{200} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.
Hope it is helpful...Amy has a bag with 2 pink marbles and 3 purple marbles. She picks two marbles. How much greater is the probability of Amy picking two consecutive pink marbles if she replaces her first marble as opposed to her leaving the first marble she picks out of the bag?
Answer:
2/5 is the answer bc there are 5 total marbles and you have more purple marbles then pink ones so the answer is 2/5 or 40%
