maureen has a rectangular vegetable garden. it is 9 3/4 feet wide and 12 1/2 feet long. She wants to put a fence around her garden. The fencing will be interrupted by one gate that is 48 inches wide. How much fencing does she need to fence the garden?
Answer:
40 1/2 ft
Step-by-step explanation:
48 in = 4 ft
9 3/4 x 2 + 12 1/2 x 2 - 4
19 1/2 + 25 - 4
19 1/2 +21
A test is used to determine if people have a predisposition for the formation of a blood clot inside a blood vessel that obstructs the flow of blood through the circulatory system. It is believed that 3% of people actually have this predisposition. The test is 99% accurate if a person actually has the predisposition, meaning that the probability of a positive test result when a person actually has the predisposition is 0.99. The test is 98% accurate if a person does not have the predisposition. What is the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition
Answer:
The probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition is 0.6049.
Step-by-step explanation:
We are given that it is believed that 3% of people actually have this predisposition. The test is 99% accurate if a person actually has a predisposition.
The test is 98% accurate if a person does not have a predisposition.
Let the probability that people actually have predisposition = P(PD) = 0.03
The probability that people do not have a predisposition = P(PD') = 1 - P(PD) = 1 - 0.03 = 0.97
Let A = event that the test is accurate
So, the probability that the test is accurate if a person actually has a predisposition = P(A/PD) = 0.99
The probability that the test is correct if a person actually has a predisposition = P(A/PD') = 1 - 0.98 = 0.02
Now, the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/A)
We will use Bayes' theorem to calculate the above probability.
P(PD/A) = [tex]\frac{P(PD) \times P(A/PD)}{P(PD) \times P(A/PD) + P(PD') \times P(A/PD')}[/tex]
= [tex]\frac{0.03 \times 0.99}{0.03 \times 0.99+0.97 \times 0.02}[/tex]
= [tex]\frac{0.0297}{0.0491}[/tex] = 0.6049.
Every day, the number of network blackouts has a distribution (probability mass function) A small internet trading company estimates that each network blackout results in a 500 loss. Compute expectation and variance of this company’s daily loss due to blackouts.
Answer:
jeub42hg24h vhrj vjo24 ve4goj
Step-by-step explanation:
help me out please
Answer:
[tex]\huge\boxed{\text{(D)} \ 2.25}[/tex]
Step-by-step explanation:
In order to find another way to represent the fraction [tex]2 \frac{1}{4}[/tex], we need to find different ways to represent fractions as a whole. One way to write fractions are as decimals.
We know that 2 as a decimal is just 2. We can leave that be for now.
We also know that [tex]\frac{1}{4}[/tex] as a fraction will just be [tex]1 \div 4[/tex], which is 0.25. Therefore, combining 2 and 0.25 we get 2.25.
Hope this helped!
What is the value of x?
20
35
60
70
Answer:
X = 20
Step-by-step explanation:
Answer:
X=20
Step-by-step explanation:
on edu 2020
Select all of the following expression that result in rational number
Answer:
the answer is only A (I think so...)
Question 6 of 10
Parts of an algebraic expression separated by plus (+) or minus (-) signs are
A. factors
B. terms
C. coefficients
D. variables
Mark earns a weekly salary of $150 PLUS a commission of 9% of his sales. If his sales were $2600, what was his gross pay? $23550 $384 $234 $2490
Answer:
fiewjfilewjfiwj
Step-by-step explanation:
kjkejfke
A milkshake recipe calls for 1/3 cup of milk for each milkshake. If a server has 15/8 cups of milk, what is the maximum number of
milkshakes the server can make following the recipe porpotians?
Answer:
5 milk shakes
Step-by-step explanation:
From the above question, we know that for the recipe
1/3 cup of milk = 1 milk shake
15/8 cup of milk = y milk shakes
We cross Multiply
15/8 cup × 1 = 1/3cup × y
y = 15/8 cup × 1 /1/3cup
= 15/8 ÷ 1/3
= 15/8 × 3
= 45/8
= 5.625 of 5 5/8 cups of milk
Therefore, the maximum number of
milkshakes the server can make following the recipe porpotians is 5 milk shakes.
The Center for Information and Research on Civic Learning and Engagement (CIRCLE), an independent youth research organization, reported that 49% of all U.S. adults age 18 to 29 voted in the 2012 presidential election. We believe that a higher proportion of community college students plan to vote in the 2016 presidential election. H0: 49% of community college students plan to vote in the next presidential election. Ha: More than 49% of community college students plan to vote in the next presidential election. We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is approximately 0.01. At a significance level of 0.05, what can we conclude
Answer:
The evidence suggests that more than 49% of community colleges students plan to vote in the next presidential election because the p-value is less than the significance level.
Step-by-step explanation:
Given that:
The null hypothesis is:
[tex]H_o : \mu = 49 \%[/tex] of community college students plan to vote in the next presidential election.
[tex]H_a : \mu > 49\%[/tex] of community college students plan to vote in the next presidential election.
sample size = 650
sample proportion = 0.54
P-value = 0.01
Level of significance = 0.05
Decision Rule: To reject the null hypothesis if the p-value is lesser than the level of significance.
Conclusion: We reject the null hypothesis and conclude that the evidence suggests that more than 49% of community colleges students plan to vote in the next presidential election because the p-value is less than the significance level.
CD is formed by C(-5, 9) and D(7,5). If line
t is the perpendicular bisector of CD, write a
linear equation for t in slope-intercept form
Answer:
y - 3x = 10
Step-by-step explanation:
The equation of a line in slope-intercept form is expressed as;
y - y0 = m(x-x0) where;
m is the slope of the unknown line
(x0, y0) is any point on the line.
First is to get the slope.
Given CD is formed by C(-5, 9) and D(7,5)
m = y2-y1/x2-x1
m = 5-9/7+5
m = -4/12
m = -1/3
Since the line t is perpendicular to CD, the product of their slope will be -1.
mM = -1
M = -1/(-1/3)
M = 3
Substituting M = 3 and the midpoint of (7, 5) and (-5, 9 )into the formula above to get the equation of the line.
Midpoint of the line = (x1+x2/2, y1+y2/2)
M = (-7+5/2, 5+9/2)
M = (-2/2, 14/2)
M = (-1, 7)
Hence x0 = -1 and y0 = 7
Since y - y0 = m(x-x0
Equation becomes;
y-7 = 3(x+1)
y-7 = 3x+3
y-3x = 3+7
y - 3x = 10
Hence a linear equation for t in slope-intercept form is y-3x = 10
The Equation of perpendicular bisector t = [tex]y = 3x +4[/tex]
Given Line CD is formed by points C(-5, 9) and D(7,5) hence it passes through these two points
Let the slope of this line is m
The Slope of line passing through C and D points is given by [tex]m[/tex]
So
[tex]m = (y_2-y_1) /(x_2-x_1)[/tex].....(1)
[tex]m = (5-9)/(7-(-5)) = -1/3.......(2)[/tex]
Given that [tex]t[/tex] is perpendicular bisector of CD
Let the slope of t = [tex]m_t[/tex]
The product of slopes of two perpendicular lines is -1
hence
[tex]m \times m_t = -1........(3)[/tex]
so we can from equation number (2) and (3) we can write
[tex]m_t[/tex] = 3
Also t is the perpendicular bisector and hence it passes through the mid point of line CD hence the mid point of CD
[tex]Midpoint \; of\; line \; joining\; two\; points = ((x_1+ x_2)/2, (y_1+y_2)/2) .......(4)[/tex]
From equation 4 we can write that
Mid point of CD =
[tex]((-5 +7)/2, ( 9 +5)/2 ) = (1,7)\\[/tex]
The equation of perpendicular bisector t is given by equation (5)
[tex]y = 3x+c .........(5)[/tex]
also equation (5) is satisfied by the point (1,7)
hence we can write
[tex]7 = 3\times (1) +c \\ c = 4[/tex]
So the Equation of perpendicular bisector t = [tex]y = 3x +4[/tex]
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The Ride for Health Bicycle Club has chosen a 60-mile course for this Saturday's ride. If the riders plan on averaging 15 mph while they are riding, and they have a 2-hour lunch break planned, how long will it take them to complete the trip?
Answer:
6 hours
Step-by-step explanation:
Total time it will take to complete the trip = Total time spent on riding + Time taken for lunch break.
Distance to be covered = 60 miles.
D = 60
Speed of riding = 15 miles per hour
S = 15
Thus time taken to cover a distance 60 miles by riding at a speed of 15 mph:
T=D/S=60/15
T= 4hours
They will spend 4 hours on riding and 2 hour of lunch break.
Hence total time taken to complete the trip = 4 + 2 = 6 hours.
It will take 6 hours to complete the trip.
The number of hours taken by riders to complete the trip is 6 hours.
Given that, distance = 60 mile, speed = 15 mph and lunch break = 2 hours.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Using speed formula Speed=Distance/Time
Here, 15 = 60/Time
⇒ Time = 60/15
= 4 hours
Total time taken in the trip is 4+2 = 6 hours
Hence, the number of hours taken by riders to complete the trip is 6 hours.
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If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure.
Answer:
Step-by-step explanation:
It's given in this question,
m∠2 = 41°, m∠5 = 94° and m∠10 = 109°
Since, ∠2 ≅ ∠9 [Alternate interior angles]
m∠2 = m∠9 = 41°
m∠8 + m∠9 + m∠10 = 180° [Sum of angles at a point of a line]
m∠8 + 41 + 109 = 180
m∠8 = 180 - 150
m∠8 = 30°
Since, m∠2 + m∠7 + m∠8 = 180° [Sum of interior angles of a triangle]
41 + m∠7 + 30 = 180
m∠7 = 180 - 71
m∠7 = 109°
m∠6 + m∠7 = 180° [linear pair of angles]
m∠6 + 109 = 180
m∠6 = 180 - 109
= 71°
Since m∠5 + m∠4 = 180° [linear pair of angles]
m∠4 + 94 = 180
m∠4 = 180 - 94
m∠4 = 86°
Since, m∠4 + m∠3 + m∠9 = 180° [Sum of interior angles of a triangle]
86 + m∠3 + 41 = 180
m∠3 = 180 - 127
m∠3 = 53°
m∠1 + m∠2 + m∠3 = 180° [Angles on a point of a line]
m∠1 + 41 + 53 = 180
m∠1 = 180 - 94
m∠1 = 86°
From the information and diagram shown, the following are true;
m<2 = m<9Since m<2 is 41 degrees, hence m<9 is 41 degrees
Also, m<7 = m<10 (corresponding angles) =109 degreees
m<6 + m<7 = 180
m<6 = 180 - 109
m<6 = 71 degrees
m<4 + m<5 = 180
m<4 = 180 - 94
m<4 = 86 degrees
m<1 = m<4 (corresponding angles) = 86 degrees
m<8 + m<2 + m<7 = 180
m<8 + 41 + 109 = 180
m<8 = 180 - 150
m<8 = 30degrees
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What is the equation of a line between the points (3,5) and (1,15)
Answer: y = -5x + 20
Please mark me as brainliest
Answer:
Step-by-step explanation:
dont know for points
(-7) times ? = -14 what are the missing numbers
Answer:
2
Step-by-step explanation:
-7 x 2 = -14
Answer:
-7*2=-14
Step-by-step explanation:
negative * positive = negative
Therefore, -7*2=-14
Hope this Helps!
A child shot a toy rocket into the air from their playhouse which stood 5 ft above the ground. The rocket rose to 50 ft above the ground and landed on the ground 3.4 seconds later. The path of the toy rocket could be modeled by a quadratic function, h(t), where h is the height of the toy rocket in feet after t seconds.
(1) What is the practical domain of the function?
(2) What is the practical range of the function?
(3) How would the theoretical domain and range of the function differ from the practical domain and range of the situation?
Answer:
Part A)
All real numbers between 0 and 3.4 (including 0 and 3.4).
Part B)
All real numbers between 5 and 50 (including 5 and 50).
Part C)
See below.
Step-by-step explanation:
We know that the rocket rose to a maximum of 50 feet and was in the air for 3.4 seconds. The rocket started at a height of 5 feet.
Part A)
The practical domain of a function is the domain with the context. Here, our domain is the number of seconds that had passed. Time can't be negative, so our domain must be greater than or equal to 0. Also, since we know that our rocket landed after 3.4 seconds, this means that our practical domain is all real numbers between 0 and 3.4 including 0 and 3.4.
Part B)
The practical range of a function is the range with the context. Here, our range is the height the rocket reaches. We know that the rocket started at a height of 5 feet, so our practical range should be greater than or equal to 5. We also know that the maximum height the rocket reached was 50 feet. So, our practical range is all real numbers between 5 and 50 including 5 and 50.
Part C)
The theoretical domain and range differs from the practical domain and range in that the theoretical counterparts don't consider the context. For the theoretical domain and range, we will analyze this as a normal quadratic. Since it's a quadratic, the theoretical domain is all real numbers. Since our maximum value is y=50, our theoretical range is all numbers less than or equal to 50.
However, this can't be used since negative time (e.g. height after -2 seconds) is inapplicable and negative height doesn't make sense in this context either (well, technically negative height can indicate that the rocket goes underground, but this is not mentioned here).
So, it is important to determine when to use practical domain/range and theoretical domain/range!
What is The product of -7 and -3, decreased by 6!?
Answer:
15
Step-by-step explanation:
(-7)(-3)-6
= 21 - 6
= 15
Hello! My name is Chris and I’ll be helping you with this problem.
Date: 9/28/20 Time: 11:36
Answer:
-7 (-3) - 6
Explanation:
Product = Multiplication
Decreased = Subtract
Equation
-7 (-3) - 6
I hope this helped answer your question! Have a great rest of your day!
Furthermore,
Chris
What is the quotient two 1/5÷-1/10
Answer:
- 2
Step-by-step explanation:
Step 1:
1/5 ÷ - 1/10 Equation
Step 2:
1/5 × - 10/1 Flip Fraction
Answer:
- 2 Multiply
Hope This Helps :)
If it costs 1.85 dollars to rent 3 books at the library, how much would cost to rent 51
books?
sorry don't know....
follow me and make me as brilliest......The chart below shows conversion between gallons and fluid Ounces. Conversion Chart Gallons Fluid Ounces 2 256 3 384 4 512 6 What is the missing value in the table? O 128 O 640 O 768 896
Answer:
b
Step-by-step explanation:
between gallons and Fluid Ounces.because The chart below shows the conversion
Answer: B
Step-by-step explanation:
Could someone answer this?
Answer:
Yes
Step-by-step explanation:
Each inch equals 15 ft of the actual length. If the dimensions are 2in. by 1 1/2in. then you multiply each number by 15 to get the length in feet. You will get 30 by 25. There will be just enough room one one side, with plenty of room on the other.
slope -2 passes through (-3,14)
Answer:
y = − 2 x + 8
Step-by-step explanation:
Find the value of b using the formula for the equation of a line.
Use the formula for the equation of a line to find b .
y = m x + b
Substitute the value of m into the equation.
y = ( − 2 ) ⋅ x + b
Substitute the value of x into the equation.
y = ( − 2 ) ⋅ ( − 3 ) + b
Substitute the value of y into the equation.
14 = ( − 2 ) ⋅ ( − 3 ) + b
Find the value of b .
Rewrite the equation
( − 2 ) ⋅ ( − 3 ) + b = 14 .
Multiply − 2 by − 3
6 + b = 14
Subtract 6 from both sides of the equation.
b = 14 − 6
Subtract 6 from 14 .
b = 8
Now that the values of
m (slope) and b (y-intercept) are known, substitute them into y = m x + b to find the equation of the line.
y = − 2 x + 8
Jacinda made 16 baskets during the basketball game. Greta made 4 baskets. The number of baskets Jacinda made is how many times more than the number of baskets Greta made? Choose the answer that has the correct equation AND the correct solution to the equation.
16x = 4; x = 64 times as many baskets
16x = 4; x = 4 times as many baskets
4x = 16; x = 4 times as many baskets
4x = 16; x = 3 times as many baskets
Answer:
Step-by-step explanation:
4 times more. 16 divided by 4=4
Answer:
B
Step-by-step explanation:
Suzi’s brother has ten more than twice as many sports cards as Suzi does. Together, they have 70 sports cards. How many sports cards does Suzi have?
Answer:
I would say that suzi has 30 cards. because 30 + 30 = 60 and 60 + 10 = 70
Step-by-step explanation:
What is 24% of 337.5?
Answer:
81
Step-by-step explanation:
24% × 337.5 =
(24 ÷ 100) × 337.5 =
(24 × 337.5) ÷ 100 =
8,100 ÷ 100 =
81;
a product code consists of picking a two-digit number (including 00) and 3 not necessarily distinct letters. How many codes are possible? how many codes contain at least one 9? What is the probability that a code does not contain the number 9?
Answer:
The codes are:
N,_,_,_
Where each _ represents a possible letter, out of 26.
And N is a number of two digits.
So in total we can think that we have 5 empty slots.
_,_,_,_,_
In the first slot we can put any digit between 0 and 9, so here we have 10 options.
In the second slot we can put any digit between 0 and 9, so here we have 10 options.
In the third slot we can put any letter, so here we have 26 options (and exactly the same for the fourth and fifth slots)
The total number of different combinations is equal to the product of the number of options for each slot.
C = 10*10*26*26*26 = 1,757,600
Now, if we want to have at least one nine, we can fix it in the first slot.
Then we have:
in the first slot we have only one option (the 9)
In the second slot we can put any digit between 0 and 9, so here we have 10 options.
In the third slot we can put any letter, so here we have 26 options (and exactly the same for the fourth and fifth slots)
The number of combinations is:
C = 1*10*26*26*26 = 175,760
But we also should consider the case where we fix the 9 in the second slot, so the actual number of combinations is twice the number above.
C = 2*175,760 = 351,520
The probability that the code does not contain the number 9.
Now in the first slot we have only 9 options, all the whole numbers between 0 and 8.
The same for the second slot, 9 options.
For the third, fourth and fifth slot is the same as before.
The total number of combinations is:
C = 9*9*26*26*26 = 1,423,656
5/8 of 24 is equal to 15/7 of what number?
Answer:
fddsdfsd
Step-by-step explanation:
sesfdf
Identify the property used in this equation:
(-2) + 6 + 1 = 1 + 6 + (-2)?
commutative property
Use the interactive tool to evaluate the expression?
Answer is 5
Answer:
Commutative property
5
Step-by-step explanation:
The identity used in equation (-2) + 6 + 1 = 1 + 6 + (-2) is commutative property.
Given,
To Identify the property used in this equation:
(-2) + 6 + 1 = 1 + 6 + (-2)
commutative property
In mathematics, it deals with numbers of operations according to the statements.
Commutative property
The commutative property procedure applies to addition and multiplication. The addition procedure says that a + b = b + a and the multiplication procedure states that a x b = b x a. These procedures are used to define the notion that when adding or multiplying, values can “commute”, or resettle, and the outcome will not change.
Given equation,
(-2) + 6 + 1 = 1 + 6 + (-2)
Which shows the resettlement of -2, which does not affect the outcome of the equation. This is commutative property.
Thus, the identity used in equation (-2) + 6 + 1 = 1 + 6 + (-2) is commutative property.
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What value does the three represent in the number 16.344
Answer:
in the number 16.344, the number 3 is in the tenths place
Step-by-step explanation:
Consider the following 9 door version of the Monty Hall problem. There are 9 doors, behind one of which there is a car (which you want), and behind the rest of which there are goats (which you don’t want). 1 2 Initially, all possibilities are equally likely for where the car is. You choose a door. Monty Hall then opens 4 goat doors, and offers you the option of switching to any of the remaining 4 doors. Assume that Monty Hall knows which door has the car, will always open 4 goat doors and offer the option of switching, and that Monty chooses with equal probabilities from all his choices of which goat doors to open. Should you switch? What is your probability of success if you switch to one of the remaining 4 doors?
Answer:
The probability of success if you switch to one of the remaining 4 doors is
[tex]P(K) =\frac{4}{9}[/tex]
Step-by-step explanation:
From the question we are told that
The number of doors is n = 9
Generally the probability that the car is in the door you choose is
[tex]P(C) = \frac{1}{9}[/tex]
Generally the probability that the car is in the rest of the doors is
[tex]P(C)' = \frac{8}{9}[/tex]
Given that Monty Hall opened the 4 goat doors then the probability that the car will be in the remaining 4 doors is mathematically evaluated as
[tex]P(K) = \frac{P(C)'}{2}[/tex]
=> [tex]P(K) = \frac{\frac{8}{9}}{2}[/tex]
=> [tex]P(K) =\frac{4}{9}[/tex]
Thus the probability of success if you switch to one of the remaining 4 doors is
[tex]P(K) =\frac{4}{9}[/tex]
