The table summarizes results from 975 pedestrian deaths that were caused by automobile accidents.
Driver
Intoxicated? Pedestrian Intoxicated?
Yes No
Yes 48 78
No 241 608
If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was intoxicated.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
Answers
Therefore, the probability of the first case : 94.5% and second case:9.7%
Define probability.the likelihood that an event will take place. The proportion of feasible outcomes to outcomes in an exhaustive set of equally likely outcomes that result in a particular event. a field of mathematics that focuses on the investigation of probability.
Here,
Thus, the probabilities of following cases comes out to be:
1) The odds that either the pedestrian or the driver weren't are
=>(246+603+83)*100/986
=>(932/986)*100 =94.5%
2) The likelihood that both incidents involved inebriated pedestrians is equal to
=>(305/978)*(304/977)*100 = 9.7%
Therefore, the probability of the first case : 94.5% and second case:9.7%
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Related Questions
Start at the origin, shift up 3 units
Answers
10) Yellowstone National Park is a popular field trip destination. This year the senior class at High
School A and the senior class at High School B both planned trips there. The senior class at High
School A rented and filled 6 vans and 8 buses with 420 students. High School B rented and filled
12 vans and 11 buses with 600 students. Every van had the same number of students in it as did
the buses. Find the number of students in each van and in each bus.
Answers
Answer:
b = 48
v = 6
Step-by-step explanation:
Equations:
6v + 8b = 420students
12v + 11b = 600students
----------------------------
Modify for elimination::
12v + 16b = 840
12v + 111b = 600
----------------
Subtract and solve for "b"::
5b = 240
b = 48 (# of students in each bus)
----
Solve for "v"::
6v + 8b = 420
6v + 8*48 = 420
6v = 420-384
6v=36
v = 6 (# of students in each van)
===============
For Check
12(6)+11(48)=600
72+528=600
600=600
In the diagram below of triangle DEF, G is a midpoint of DE and H is a midpoint of EF. If GH = 5x−34, and DF = 20−x, what is the measure of DF?
Answers
Answer: 8
Step-by-step explanation:
10. John has taken many science tests. His scores are shown below.
What is the range of his test scores?
X
X
X
X
X
79 80 81
X
X X
x x
X
82
X
X X
83
84
85
Answers
Answer: 6
Step-by-step explanation:
85-79=6
Answer:
6
Step-by-step explanation:
85-79=6
what is 27,364 rounded to the nearest ten thousand
Answers
Answer:
30,000
Step-by-step explanation:
hope this helps!!!
word problem for 3 divided by 1/2
Answers
Answer:
Step-by-step explanation:
it is 1.5 take it like that
When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc) estimate Create a t-chart to graph the coordinates Find the 0's of the function Solve for y and use the slope-intercept form
Answers
Answer:
creat a t-chart to graph the coordinates.
Solve the equation
2^2x+1 + 2^x+2 = 12-2^x
Answers
Therefore the value of x is 2.
Given 2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ
2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ
We can write this as follows
aˣ ⁺ ⁿ = aˣ * aⁿ
2²ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ
2ˣ * 2ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ
By taking common terms aside we get
2ˣ * 2 (2ˣ + 2) = 12 * 2ˣ
By canceling the like terms we get
2ˣ + 2 = 6
2ˣ = 6 - 2
2ˣ = 4
2ˣ = 2²
∴ x = 2
Therefore the value of x is 2.
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Find the missing side length of the right triangle below.
26 cm
10 cm
b
Answers
Answer:
24
Step-by-step explanation:
we'll use the pythagoras theorm, but change it a little
instead of a² + b² = c², we'll use c² - a² = b²
26² - 10² = 576
the square root of 576 is 24, and that's the answer :)
Find the product. Simplify your answer.
(4z+4)(z+4)
Answers
just letting you know that the variable is x on here thats just what happened it is the right answer though
Can someone help me with this I’m really bad in geometry
Find Y Round to the nearest tenth.
у
12
25°
Answers
I redrew the triangle (just turned it around it make it easier to understand).
Marcia Gadzera wants to retire in San Diego when she is 65 years old. Marcia is now 50 and believes she will need $90,000 to retire comfortably. To date, she has set aside no retirement money. If she gets interest of 10% compounded semiannually, how much must she invest today to meet her goal of $90,000?
Answers
Answer:
Step-by-step explanation:
We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:
FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)
where:
FV = future value of the annuity
PMT = payment (or deposit) made at the end of each compounding period
r = annual interest rate
n = number of compounding periods per year
t = number of years
In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:
Marcia wants to retire in 15 years (when she is 65), so t = 15
The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2
Marcia wants to have $90,000 in her retirement account
Substituting these values into the formula, we get:
$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)
Simplifying the formula, we get:
PMT = $90,000 / [(1.025)^30 - 1] / 0.025
PMT = $90,000 / 19.7588
PMT = $4,553.39 (rounded to the nearest cent)
Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.
Stuck on this last question
Answers
Answer:
C.
because both of those decimals can be turned into fractions.
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
C
Step-by-step explanation:
.752 is a rational number and .232323... is a non-terminating repeating number, which is also rational
the angle of elevation to the top of a cliff is 25 degrees from a boat on the lake. How high is the cliff is 400 feet from the boat??
Answers
If the distance between the cliff and the boat is 400 feet. Then the height of the cliff will be 186.52 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The angle of elevation to the top of a cliff is 25 degrees from a boat on the lake.
If the distance between the cliff and the boat is 400 feet.
Then the height of the cliff will be
Let x be the height of the cliff. Then we have
tan θ = height of cliff/ distance between cliff and boat
tan 25° = x/400
x = 400 tan 25°
x = 186.52 feet
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A line segment has endpoints (-1, -1) and (-1, 2).
Which vertex would form a triangle that is connected to the endpoints of the line segment?
А.
(-1, 6)
B
(-1, -2)
С
(-1,0)
D
(2,-1)
Answers
Answer:
D. (2, - 1)Step-by-step explanation:
Both the given points have x- coordinate of -1.
The first three of the answer options have same -1 as the x-coordinate, this means all three points are on the same line.
It is therefore impossible to have those as vertices of a triangle.
Correct option is D
Solve for x, simplify if possible. Round to three decimal places.
Answers
As given by the question
There are given that the log function
\(log_4(x+8)=2\)Now,
From the log rule,
\(\begin{gathered} log_4(x+8)=2 \\ x+8=(2)^4 \\ x+8=16 \\ x=16-8 \\ x=8 \end{gathered}\)Hence, the value of x is 8.
what is the solution to the equation below 2x+13=x-1
Answers
Add one on both sides
2x + 14 = x
Subtract 2x on both sides
14 = -x
Divide by -1
x = -14
x = -14
Determine if the ratios are equivalent.
17:3 and 68:12
Answers
Answer:
They are equivalent
Step-by-step explanation:
We can do cross products for this one
17/3 = 68/12
17 times 12 = 68 times 3
204 = 204
What is the value of x?
to
Answers
The measure of the angle x is 30 degree if the triangle is an equilateral triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a circle in which a triangle is formed.
Here is the length of the triangle is same, means it is an equilateral triangle.
Each angle in equilateral triangle = 60 degree
The radius and the one tangent, making an angle of 90 degree
Taking bigger triangle:
Total sum of angles in triangle = 180 degree
x = 180 – 90 -60
x = 30 degree
Thus, the measure of the angle x is 30 degree if the triangle is an equilateral triangle.
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How many solutions does this equation have?
4u − 5 − 5u = 3 − u
Answers
Answer:
It has 0 solutions.
Step-by-step explanation:
u= -1
4.
At the Old Fort Boise Days Car Show there were 15 Pontiacs, 18 Chevrolets, 12 Fords ,and 5 Ramblers. What was the ratio of Ramblers to the total number of cars in the Car Show?
a.
5:45
c.
1:10
b.
10:1
d.
50:5
Answers
Answer:
1:10
Step-by-step explanation:
A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a storm is in progress with a severe storm class rating. Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down. The next 10 waves have an average wave height is 16 feet with a SD of 0.6 ft. Suppose that you do not know if the storm is getting worse or dying out. You just want to test the hypothesis that the average wave height is different (either up or down) from the severe storm class rating. What would you use for the alternate hypothesis?
a. H1:μ is the P-value area on the left, right, or on both sides of the mean.
b. H1:μ is less than 16.4 feet; the P-value area is on the right of the mean.
c. H1:μ is not equal to 16.4 feet; the P-value area is on the right of the mean.
d.H1:μ is not equal to 16.4 feet; the P-value area is on the left of the mean.
e. H1:μ is not equal to 16.4 feet; the P-value area is on the both sides of the mean.
f. H1:μ is greater than 16.4 feet; the P-value area is on both sides of the mean
Answers
Answer:
Option e
Step-by-step explanation:
The type of test for this sticky is a two tailed test: (either up or down) from the severe storm class rating.
Thus, the null hypothesis would be that u is equal to 16.4 feet while the alternative hypothesis would be that u is not equal to 16.4 feet; and the p value area is on both sides of the mean since it is a two tailed test.
In a sprint to the finish, a professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist travel in 3 seconds?
Answers
Answer:
57 meters per 3 seconds
Step-by-step explanation:
^^^
A middle school has 2 girls for every 1 boy in seventh grade. The seventh-grade class
has 28 fewer students than the eighth-grade class, which has 298 students. How many
girls are in seventh grade?
Answers
Answer:
180 girls
Step-by-step explanation:
298-28=270
270 divided by 3 = 90
90+90 = 180
so there are 180 girls and only 90 boys
A chord AB divides a circle of radius 8 cm into two segments. If AB subtends a
central angle of 45, find the area of the minor segment.
Answers
Answer:
Area of the minor segment = 2.505324230749 cm²
Step-by-step explanation:
Area of the minor segment
= Area of the sector ABC - Area of the triangle ABC
……………………………………………………………………………………
• Area of the sector ABC
= Area of the whole circle ÷ 8
= (π×8²) ÷ 8
= 8π
______
•• Area of the triangle ABC
= (1÷2) × CA × CB × sin(45)
= (1÷2) × 8 × 8 × (√2/2)
= 16√2
______
Thus
Area of the minor segment
= 8π - 16√2
= 2.505324230749
What would be the amount of force between two objects 10 mm away from each other
Answers
The amount of force between two objects 10 mm away from each other is G\(m_1m_2\) / 100.
What is Gravitational Force?All physical things with mass are drawn to the gravitational force, which can be thought of as an attracting force. It is the known natural force that is by far the weakest.
Given:
Distance = 10 mm
As, the Gravitation force between two objects
F = G\(m_1m_2\) / r²
or, F = G\(m_1m_2\) / 10²
F = G\(m_1m_2\) / 100
Also, the force between two objects decreases as the far they are apart from each other.
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The Question attached is Incomplete/ inappropriate, the Complete Question is
What would be the amount of force between two objects 10 mm away from each other having the \(m_1\) and \(m_2\)?
When 10 gallons of gasoline are put into a car's tank, the indicator goes from 1/8 of a tank to 3/4. What is the total capacity of the gasoline tank?
Answers
Answer: 16 gallons
Step-by-step explanation:
Since the the indicator goes from 1/8 of a tank to 3/4, we need to know the difference and this will be:
= 3/4 - 1/8
= 6/8 - 1/8
= 5/8
Therefore, 10 gallons represents 5/8 of the total capacity. Therefore, the total capacity will then be:
5/8 of x = 10
5x/8 = 10
5x = 10 × 8
5x = 80
x = 80/5
x = 16
Therefore, the total capacity is 16 gallons
If two variables are negatively correlated, as one variable increases the other variable?
A. Stays The Same
B. Decreases
C. Increases
D. None Of These
Answers
Answer:
increases
Step-by-step explanation:
as the values along the x-axis increase, the corresponding y-values decrease, giving you a negative correlation.
which would be the base case in a recursive solution to the problem of finding the factorial of a number. recall that the factorial of a non-negative whole number is defined as n! where: if n
Answers
The base case in a recursive solution to the problem of finding the factorial of a number is n = 0 .
Given :
the base case in a recursive solution to the problem of finding the factorial of a number. recall that the factorial of a non-negative whole number is defined as n! .
Base case :
The base case is the condition to stop the recursion. The recursive case is the part where the function calls on itself .
we know that ,
def func ( n ) :
if n == 0 :
return 1
Here the base case is clearly n = 0
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Review the graph. Is it a function? Yes or no. Is it continuous or discrete? What is the domain? What is the range? (Please see attachment for graph and questions.
Answers
From the graph, notice that a set of four points are given.
The points are:
\((-2,-3),(-2,2),(1,3),(2,-3)\)Recall that a relation that assigns to each element x in the domain set exactly one element y from the range set is called a function.
Notice from the points that the x-value -2 is mapped to two y-values -3 and 2. Since an element is not mapped to a unique element y in the range, it follows that the relation given by the graph is not a function.
A discrete graph is one with scattered points. Since the given graph contains scattered points, it follows that the graph is discrete.
The Domain is the set of x-values. Hence, the domain is the set:
\(\mleft\lbrace-2,1,2\mright\rbrace\)The Range is the set of y-values. Hence, the range is the set:
\(\mleft\lbrace-3,2,3\mright\rbrace\)Answers:
The graph does not represent a function (No).
The graph is discrete.
The domain is {-2,1,2}
The range is {-3,2,3}