Answer:
Solution:
the boat's speed in still water: x
The speed with current: (x+3)
The speed against current: (x-3)
The equation is
3(x+3) = 4(x-3)
x = 21 mph
The distance = 3*(21+3)= 72 miles
I choose (A)
Step-by-step explanation:
Answer:
72 Miles
Step-by-step explanation:
(Extra Credit) Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 75% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. If it has an emergency locator, what is the probability that it will not be discovered?
Answer:
0.0323 = 3.23% probability that it will not be discovered
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Has emergency locator
Event B: Probability it will not be discovered.
Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.
So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].
90% of the aircraft not discovered do not have such a locator.
So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]
Probability of having the locator:
75% of 80%(Discovered).
10% of 20%(Not discovered). So
[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]
If it has an emergency locator, what is the probability that it will not be discovered?
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]
0.0323 = 3.23% probability that it will not be discovered
what is -9x - 5x + 6x + 3 = ?
For the pair of similar triangles, find the value of x.
The value of x is .
Answer:
18.
Explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The value of 'x' in two similar triangles is 6.46.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in similar triangles the ratio of their corresponding sides are equal.
Therefore, The equation to determine the value of 'x' should be,
(2x - 6)/20 = 36/(x + 6).
36(2x - 6) = 20(x + 6).
72x - 216 = 20x + 120.
72x - 20x = 120 + 216.
52x = 336.
x = 336/52.
x = 6.46.
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Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. 2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. 3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
4. If Kevin wrote 21 posts, how many did Cheryl write?
Answer:
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)
The expression will be P for "of posts Kevin writes."
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)
The operation I will use is subtraction so P-7.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)
Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )
4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)
Cheryl wrote 14 posts, because 21 - 7 = 14
Hope this helps <3
1. We have chosen a variable 'x' to represent the number of posts by Kevin.
2. Subtraction applies to this situation.
3. The number of posts written by Cheryl is (x - 7).
4. If Kevin wrote 21 posts, Cheryl wrote 14 posts.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Let, Kevin writes 'x' number of posts,
Therefore, Cheryl writes (x - 7) posts.
We could have chosen any letters for the number of posts Kevin writes,
And as Cheryl writes fewer posts than Keving we subtracted the number.
If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,
(21 -7).
= 14 posts.
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What would the slope of a line be to line perpendicular to the following: Y = 2x - 2
Answer:
-1/2x
Step-by-step explanation: negative reciprical
im like gonna be posting these because i been on this section since august
Answer:
$102
Step-by-step explanation:
First calculate the number of hours for morning and afternoon.
[8:15 - 12:15] 12 - 8 = 4 hours for the morning
[13:00 - 17:30] (17 - 13) + 1/2 an hour = 4.5 hours
Giving us a total of 8.5 hours.
12 x 8.5 = 102
There are 23 men and 7 women running a race. What is the ratio of the number of male runners to the total number of runners?(these are all my points please give a honest answer)
Answer:
The ratio would be 30:23
Step-by-step explanation:
It cannot be simplified ''pretty'' so it would stay as 30:23.
The solution to -3x + 5x - 7 = -11 is _____.
Answer:
x = -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
help plz will give brainlyest
Answer:
A. Cendric is correct because he used the inverse of subtraction and added 4.5
Step-by-step explanation:
To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.
Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.
PLEASE HELP!!! (Thank you) :)
Answer:
13
Step-by-step explanation:
(24 + 2) / 2
26/2
=13
Need help in math!!!!!!!!
Answer:
1.9x+2(1.5)>30
Step-by-step explanation:
1.9(15)+2(1.5)
28.5+3
31.5 dollars
therefore the equation is grater than 30 dollars
70 points !!! So try
Answer:
1/ 5²
Step-by-step explanation:
= 5³ × 1/5⁵
= 125 × 1/5⁵
= 125/3125
= 1/25 or 1 / 5²
Carmen made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $153?
Answer:
9
Step-by-step explanation:
221/13=17
So $17 for one hour
153/17=9
I dunno if this is right :)
Answer:
Carmen has to work 9 hours to make $153.
Step-by-step explanation:
Well first we would need to find out how much she makes an hour, so to do that we would divide the 221 by 13 hours and get 17. Then you just keep multiplying until you have the right number.
17x4=68
17x5=85
17x6=102
17x7=119
17x8=136
17x9=153
6m – 3 = 5 – (m + 39.5)
What is the solution of the equation shown
Answer:
m= -4.5
Step-by-step explanation:
Let's solve your equation step-by-step.
6m−3=5−(m+39.5)
Step 1: Simplify both sides of the equation.
6m−3=5−(m+39.5)
6m−3=5+−1(m+39.5)(Distribute the Negative Sign)
6m−3=5+−1m+(−1)(39.5)
6m−3=5+−m+−39.5
6m+−3=5+−m+−39.5
6m−3=(−m)+(5+−39.5)(Combine Like Terms)
6m−3=−m+−34.5
6m−3=−m−34.5
Step 2: Add m to both sides.
6m−3+m=−m−34.5+m
7m−3=−34.5
Step 3: Add 3 to both sides.
7m−3+3=−34.5+3
7m=−31.5
Step 4: Divide both sides by 7.
7m
7
=
−31.5
7
m=−4.5
Step-by-step explanation:
6m-m=5-3+39.5
5m=-37.5
m=7.5
Can someone help me Write an equation for this graph?
Answer:
y = (2/3)x - 1
Step-by-step explanation:
y = mx + b
m = (y₂ - y₁) ÷ (x₂ - x₁)
m = (1 - (-1)) ÷ (3 - 0)
m = 2 ÷ 3
m = 2/3
Insert slope and one of the points. I'm using (0, -1).
Solve for b.
-1 = (2/3)0 + b
-1 = 0 + b
-1 = b
∴ y = (2/3)x - 1
Use the following to answer questions 19-21 Breast cancer is one of the leading causes of death in women prior to age 50. A study of the effectiveness of regular breast self-examination (BSE) reported in the American Journal of Public Health found that 23 of 53 women who discovered a tumor through BSE had a tumor in an early stage. Of 178 women who discovered a tumor by accident, 48 had a tumor in an early stage. Let p1 and p2 denote the proportion of women who detected early stage tumor through BSE and by accident, and let p1 and p2 denote the corresponding estimates.
The SE of p1-p2 is:________
Answer:
s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) = 0.07576
Step-by-step explanation:
Step(i):-
The proportion of the first sample
[tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{23}{53} = 0.43396[/tex]
The proportion of the second sample
[tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{48}{178} = 0.2696[/tex]
Step(ii):-
Standard Error of ([tex]p^{-} _{1} - p^{-} _{2}[/tex]) is determined by
[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{p^{-} _{1} (1-p^{-} _{1} )}{n_{1} }+\frac{p^{-} _{2}(1-p^{-} _{2} ) }{n_{2} } }[/tex]
[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{0.43396) (1-0.43396 )}{53 }+\frac{0.2696(1-0.2696 ) }{178} }[/tex]
on simplification, we get
s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) = 0.07576
Nadia lives in the town of Preston. Quinn lives
in the town of Elm Ridge. Nadia and Quinn each
claim that her respective town's population
is growing more rapidly.
Preston
Last Year 5,589 and this Year 5,702
ELM Ridge
Last Year 1,870
and this Year 1,926
Answer:
ELM Ridge is growing at a faster rate
Step-by-step explanation:
To obtain the solution, we calculate the growth rate of both cities
Given :
Nadia : Preston
Population Last Year 5,589
This Year 5,702
Growth rate:
[(this year population - Last year population) / last year population] * 100%
[(5702 - 5589) / 5589] * 100%
(113 / 5589) * 100%
= 0.0202182 * 100%
= 2.02%
ELM Ridge
Last Year 1,870
This Year 1,926
Growth rate:
[(this year population - Last year population) / last year population] * 100%
[(1926 - 1870) / 1870] * 100%
(56 / 1870) * 100%
= 0.0299465 * 100%
= 2.994%
= 3%
What is the volume of the square pyramid? Round to the nearest tenth.
267.9
1107.7
1670.8
Answer:
1670.8 cm³
Step-by-step explanation:
Volume of square Pyramid = ⅓*a²*h
h = 15.3 cm
a = 18.1 cm
Plug in the values
Volume of the pyramid = ⅓*18.1²*15.3
Volume = 1670.81 ≈ 1670.8 cm³ (nearest tenth)
Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
Answer:
3.5 inches
Step-by-step explanation:
create a proportion:
inches / miles = inches / miles
let 'x' = distance in inches
1/4 = x
18 252
18x = 252(1/4)
18x = 63
x = 63 / 18
x = 3.5
if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?
2- 1/2n=3n+16
I need you to solve the whole equation step by step
Answer:
n = -4
Step-by-step explanation:
2 - 1/2 n = 3n + 16
Combine the constants by subtracting 2 from both sides.
-1/2n = 3n + 14
Combine the variable by subtracting 3n from both sides.
-7/2n = 14
Multiply both sides by 2 to simplify the fraction.
-7n = 28
Isolate n by dividing by -7 on both sides.
n = -4
Check.
2 - 1/2(-4) = 3(-4) + 16
2 + 2 = -12 + 16
4 = 4
Your answer is correct.
Answer:
2-16=3n+1/2n
-14=(6n+n)/2
-28=7n
n=-4
can someone pls help with this i’m so confused
Answer:
biggest size is 115 inches.
smallest size is 40 inches
Step-by-step explanation:
the biggest size will be
Tmax= 2(168)/3 + 3
= 115 inches..
the smallest size
Tmin= 168/4 - 2= 40 inches
is -3 or 2 a higher slope? ( please help fast will give brainliest and thanks!!!!! 100 points help pleaseeeeee!!!!)
Answer:
ANSWER IS -3
Step-by-step explanation:
HOPE THIS HELPS
ANSWER IS -3
have a good day
2
If f(x) = -2x2- x, what is f(2) and f(3)?
Use the rules of inference to prove the conclusion r given (all 1,2,3 and 4) the four premises listed below. Write your solution as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements, or it is equivalent to a previous statement by the rules of logical equivalences. You should give the rule used by name and refer by number to the previous statement(s) that the rule was applied to.
a. p +- (premise)
b. p Vu (premise)
c. q (premise)
d. ((r Λ t) V p) V-u (premise)
Answer:
attached below
Step-by-step explanation:
Applying the rule of logical equivalences
attached below is a detailed solution ( written as a numbered sequence of statements )
Answer:
identity laws, domination laws, commutative laws, double negation laws these are some laws from logical equivalence.
What is logical equivalence?
A tautology is a claim that is true no matter what the truth values of the propositional variables it includes are.Contradictions and absurdities refer to a group of propositions that are all untrue.It's also known as a contingency when a composite proposition contains neither a tautology nor a contradiction.What does this imply in actuality, though?To make sense of this, go to the following truth table.
Contradiction and tautology
Inconsistency, contradiction, and tautology So a tautology is when every single statement in a column is true, as defined by Oak Ridge National Laboratory, and is often indicated by a bold-faced capital T. When the entire column is untrue, a contradiction, which is often denoted by a boldface capital F, exists.
However, why is this significant?
We may better understand propositional equivalences, or assertions that are equivalent in logical reasoning, by using tautologies and contradictions, which are necessary in establishing or verifying mathematical arguments. Our task will be to confirm the logical equivalentity of propositions like p and q.
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2. Given R (6, -2) and S (8, 12), find the midpoint of RS.
Answer:
You need to find the slope of the two points given, then you need to add or subtract (depending on if the slope is increasing or decreasing). Once you find the slope add or subtract the answer onto R or S.
Step-by-step explanation:
SLOPE FORMULA-
y2-y1 / x2-x1
PLEASE ANSWER THIS QUESTION RIGHT.The graph below shows the path of a golf ball after being hit.
Domain is the x value which is the left to right values.
The line starts at 0 and ends at 100
The domain would be 0 <= x <= 100
Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages
Answer:
the probability that sales will be less than 81,000 packages is 0.6681
Step-by-step explanation:
Given that;
Average sales μ = 87,000
standard deviation σ = 4,000
x' = 81,000
P( x < 81,000) = ?
so
P( x < 81,000) = P( x - μ / σ )
we substitute
P( x < 81,000) = P( 81,000 - 87000 / 4000 )
P( x < 81,000) = P( - 6000 / 4000 ) = -1.5
from table;
P( z < 1.5 ) = 0.6681
Therefore the probability that sales will be less than 81,000 packages is 0.6681
Solve the equation 3x-1 = -7
Answer: x = -2
Step-by-step explanation:
first, we move the constant to the right.
3x = -7 + 1
then, we calculate that.
3x = -6
finally, we divide both sides.
x = -2
The solution to the equation 3x - 1 = -7 is x = -2.
To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.
Here are the steps to solve it:
Step 1: Start with the given equation: 3x - 1 = -7.
Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:
3x - 1 + 1 = -7 + 1.
Simplifying, we get: 3x = -6.
Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.
We can do this by dividing both sides of the equation by 3:
(3x)/3 = (-6)/3.
Simplifying further, we have: x = -2.
Step 4: We have found the solution to the equation: x = -2.
Therefore, the solution to the equation 3x - 1 = -7 is x = -2.
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A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event
Answer:
Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability
Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability
Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability
Step-by-step explanation:
The probability of the given events is:
[tex]\frac{1}{4}[/tex][tex]\frac{1}{4}[/tex][tex]\frac{3}{8}[/tex]According to the question,
Number of outcomes = 8
Event A:
Having the alternative even and odd numbers.
→ [tex](EOE, OEO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event B:
No even number and last two rolls.
→ [tex](EOO,OOO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event C:
Exactly on odd number:
→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]
Thus the above approach is correct.
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