Answer:
13 miles
Step-by-step explanation:
12 miles
Home --------------------------------------------------------Library
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5 miles |
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School
We can draw an imaginary line betwen school and library. by using the pythagoras theorem, because it is a right triangle. the distance between school and library is 13.
In an article by researchers Meehl and Rosen (Psychological Bulletin, 1955), a diagnostic test was examined for detecting psychological adjustment in soldiers. A positive result indicates the solder is mal-adjusted whereas a negative result indicates well-adjusted. For soldiers known to be well-adjusted, the test gives a positive result 19% of the time. For soldiers known to be mal-adjusted, the test gives a positive result 55% of the time. The researchers believed that 5% of all soldiers are mal-adjusted. Suppose a soldier is selected at random and they test positive. What is the probability that soldier is mal-adjusted
Answer:
0.1322 = 13.22% probability that the soldier is mal-adjusted.
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.
In this question:
Event A: Positive test
Event B: Soldier is mal-adjusted.
Probability of a positive test:
55% of 5%(mal-adjusted).
19% of 100 - 5 = 95%(well adjusted). So
[tex]P(A) = 0.55*0.05 + 0.19*0.95 = 0.208[/tex]
Probability of a positive test and soldier being mal-adjusted.
55% of 5%. So
[tex]P(A \cap B) = 0.55*0.05 = 0.0275[/tex]
What is the probability that the soldier is mal-adjusted?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.208} = 0.1322[/tex]
0.1322 = 13.22% probability that the soldier is mal-adjusted.
No random answers or links, please.
Answer:
the ans is 4 hope it may help u
Step-by-step explanation:
x =-6
x= - × -6 -2
x=+ 6 -2
x= +4
Drag each solution to the correct location on the table. Each solution can be used more than once, but not all solutions will be used.
Determine the solutions to each of the given quadratic equations.
(3x + 8)(3x + 8) = 0
(3x-8)(3x + 8) = 0
x(3x - 8) = 0
(3x-8)(3x - 8) = 0
= -8
Answer:
The answers to your questions are given below.
Step-by-step explanation:
1. (3x + 8)(3x + 8) = 0
3x + 8 = 0 or 3x + 8 = 0
3x = –8 or 3x = –8
x = –8/3 or –8/3
2. (3x – 8)(3x + 8) = 0
3x – 8 = 0 or 3x + 8 = 0
3x = 8 or 3x = –8
x = 8/3 or –8/3
3. x(3x – 8) = 0
x = 0 or 3x – 8 = 0
x = 0 or 3x = 8
x = 0 or 8/3
4. (3x – 8)(3x – 8) = 0
3x – 8 = 0 or 3x – 8 = 0
3x = 8 or 3x = 8
x = 8/3 or 8/3
URGENT NEED HELP CLICK TO SEE
Answer:
A
Step-by-step explanation:
It’s a
Answer:
c
Step-by-step explanation
the higher the negative number, the less it is worth. therefore -26 is less than -5, which is less than 17
I need help to find m
Answer:
∠MNO = 75°
Step-by-step explanation:
∠mno = 1/2 ( arc MLP - arc MOP )
arc MLP = 241 and arc MOP = 91
so ∠MNO = 1/2 ( 241 - 91 )
241 - 91 = 150
150/2 = 75
Hence, ∠MNO = 75°
Calculator
A normal distribution has a mean of 102 and a standard deviation of 2.9.
What is the z-score of 105?
Enter your answer, rounded to the nearest hundredth, in the box.
Answer:
the z score of 105 is 1.03
Step-by-step explanation:
Given that
the mean is 102
And, the standard deviation is 2.9
We need to find the z score of 105
As we know that
Z score = (Observed value - mean) ÷ standard deviation
= (105 - 102) ÷ 2.9
= 1.03
Hence, the z score of 105 is 1.03
The same would be considered and relevant
What is the value of y
Answer:
85 i thinkkkk
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
[tex]The \ measure\ of\ the \ third \ angle \ is \ 61 \ degrees[/tex]
The slope of the line in the graph is 4. Fill in the y intercept. Choose the correct equation in the form y = mx + b The y intercept is: The equation is y =
Answer:
[tex]\rm\implies y = 4x + 3 [/tex]
Step-by-step explanation:
Given :-
The slope of the line in the graph is 4.And we need to find the equation of the line. On looking at the graph we see that , it cuts y axis at (0,3) .So the y Intercept of the equation is 3 .
Slope Intercept Form :-
[tex]\rm\implies y = mx + c[/tex]
Substituting the respective values :-
[tex]\rm\implies y = 4*x + 3 \\\\\rm\implies y = 4x + 3 [/tex]
Hence the equation of line is y = 4x + 3
ANSWER THIS ASAP NO FILE AT ATT!!
Answer:
option B
Step-by-step explanation:
Have a great day!
Answer: C
Step-by-step explanation:
I did the test and it was right
Can someone please help me I will mark u brilliant
Answer:
the first one
Step-by-step explanation:
The problem says that the plot must have a maximum of 44, which means the most right dot must be on the 44 mark. All the graphs fit this requirement (the dashes are in increments of 2) The problem says that it must have an upper quartile of 39, which means the line closest to the maximum dot must be on the 39 mark. Graphs 2 and 3 do not meet this requirement, so they are eliminated. The last requirement is the median of 25. The median is represented by the middle line in the middle of the boxes. Graph 4 does not fit this requirement, so it is eliminated. Thus, only the first graph follows all 3 requirements.
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 3.5%. Non money is added or withdrawn from the account. How much will be in the account after 5 years? How much will be in the account after 20 years?
Answer:
5 years : 1781.52
20 years: 2984.68
I which of the following is the correct measure of angle ACD?
Answer:
And the reasoning behind this calculation is because they're alternate angles on parallel lines. So, therefore, we can say, using the information that we've been given, we can say that the measure of angle is equal to 127 degrees
Using Cavalieri's Principle, what is the general formula for the volume of a cone?
Answer:
The volume for a cone and pyramid are the same, V = 1/3 Bh where B is the area of the base.
Step-by-step explanation:
So even though the base is a different shape, as long as the areas and heights are the same, they will have the same volume.
5x+3x+2y+4y (simplify)
Answer:
Combine like terms:
(5x + 3x) (2y + 4y)
8x + 6y is your algebra expression.
the domain and range of the given set of points?
(0,8) (-5,-8) (9,1) (0,0) (-6-7)
Answer:
Domain: -6,-5,0,0,9
Range:-8,-7,0,1,8
Step-by-step explanation:
1.What is the surface area of the prism? (1 point)
283.8 m²
292.4 m2
325.4 m²
407 m²
2. What is the lateral surface area of the prism? (1 point)
283.8 m²
292.4 m2
325.4 m²
407 m²
Answer:
The surface area is [tex]325.4m^2[/tex]
The lateral surface area is: [tex]292.4m^2[/tex]
Step-by-step explanation:
Given
[tex]L = 3m[/tex] -- Length
[tex]H =17.2m[/tex] --- Height
[tex]W = 5.5m[/tex] --- Width
See attachment for prism
Solving (a): The surface area
This is calculated as:
[tex]S.A = 2 * (LW + WH + LH)[/tex]
This gives:
[tex]S.A = 2 * (3*17.2 + 17.2 * 5.5 + 3 * 5.5)[/tex]
[tex]S.A = 2 * (51.6 + 94.6 + 16.5)[/tex]
[tex]S.A = 2 * 162.7[/tex]
[tex]S.A = 325.4m^2[/tex]
Solving (b): The lateral surface area
This is calculated as:
[tex]L = 2 * (L + W) * H[/tex]
So, we have:
[tex]L = 2 * (3 +5.5) * 17.2[/tex]
[tex]L = 2 * 8.5 * 17.2[/tex]
[tex]L = 292.4m^2[/tex]
Question 40 of 43
Researchers conduct a study to evaluate the level of
pollution present in a river. They select several locations
along the river and then take a sample of water from each
location.
What is the population under study?
ILL GIVE BRANLIEST OR HOWEVER YOU SPELL IT
Answer:
c
Step-by-step explanation:
i did it
Answer:
The correct answer is C.
Step-by-step explanation:
I did the exam.
Write the slope-intercept form of the equation of the line.
9514 1404 393
Answer:
y = x + 2
Step-by-step explanation:
We observe that the line crosses the y-axis at y=2, so the y-intercept is 2.
The line has a rise of 1 grid square for each run of 1 grid square to the right. The slope is the ratio of rise to run:
m = rise/run = 1/1 = 1
The slope and intercept can be put into the slope-intercept form:
y = mx + b . . . . . line with slope m and y-intercept b
y = 1x +2 . . . . . . line with slope 1 and y-intercept 2
y = x +2 . . . . . . . simplified
Malik estimated that 150 people would attend a concert. The exact attendance was 215 What is his percent error, to the nearest percent?
Answer:
I think around 43.3%
Step-by-step explanation:
215-150
150
65
150 x 100
=43.3333333333333
Answer:
I think around 43.3%
Step-by-step explanation:
Find the missing length indicated. Leave your answer as radicals in simplest form
Please help, no links
9514 1404 393
Answer:
a = 4
b = 2√3
Step-by-step explanation:
The side lengths of a 30°-60°-90° right triangle are in the ratio 1 : √3 : 2.
The shortest side in the given triangle is 2, so we can multiply by 2 to see the ratios are ...
2 : 2√3 : 4 = 2 : b : a
b = 2√3
a = 4
The circumference of a circular painting is 40.82 feet. What is the radius of the painting? Use 3.14 for pie and do not round your answer.
Answer:
The radius is equal to 6.5 feet.
Step-by-step explanation:
To solve this we need to know that circumference equals 2πr (where "r" is the radius). Therefore, we can make the following equation...
2πr = 40.82
πr = 20.41
3.14r = 20.41
r = 6.5
Now we know that the radius is equal to 6.5 feet.
What is the perimeter of a square with a side length of 9 meters?
Answer:
36 meters
Step-by-step explanation:
A square has equal side lengths, and a total of 4 sides, so
9 times 4 is equal to 36.
Remember your units!
pweeze help Use the following net to find the surface area of the solid figure it represents.
144 yd 2
48 yd 2
88 yd 2
94 yd 2
Answer:
The correct answer is 48
Step-by-step explanation:
Can u help me please I will mark u brilliant
Answer:
c
Step-by-step explanation:
Answer:
the answer is 5
Step-by-step explanation:
Select the correct answer.
What is the value of this expression if h = 8, j = -1, and k
= -12?
А. 3
B
12
C.
36
D
-12
PLEASE HELP ME
Answer:
the answer is B so it's 12
Relationships in Figures
Which process defines the Fibonacci sequence?
a. exculsive
b. recursive
c. inclusive
d. extensive
Please select the best answer from the choices provided
Answer:
B. Recursive
Step-by-step explanation:
I calculated it logically
what is the y intercept of 2(x-2)^2+3
Factor the following expression 8x^2+2x-158x2+2x−15
Answer:
(9-x)
Step-by-step explanation:
if a graph shows no solution what is the inequality
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.