Answer:
4 hours
Step-by-step explanation:
f the circumference of the circular garden =63 yards
Circumference of a Circle =2πr=πd (d=diameter)
Therefore:
πd= 63
diameter of the circular garden =63/3.14=20 yards
If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:
20 yards/5 yard per hours = 4 hours
It will take him 4 hours to dig across the circular garden.
7. A car dealership has 8 red, 9 silver, and 5 black cars on the lot. Seven cars are randomly chosen to be displayed(in no particular order) in front of the dealership. Find the probability that (a) all are silver (b) 5 are red and 2 are black (c) 4 are red and the rest are silver
Answer:
a) 0.0002 = 0.02% probability that all are silver.
b) 0.0033 = 0.33% probability that 5 are red and 2 are black
c) 0.0345 = 3.45% probability that 4 are red and the rest are silver
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the cars were selected is not important, so we use the combinations formula.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) all are silver
Desired outcomes:
7 silver cars, from a set of 9. So
[tex]D = C_{9,7} = \frac{9!}{7!(9-7)!} = 36[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{36}{170544} = 0.0002[/tex]
0.0002 = 0.02% probability that all are silver.
(b) 5 are red and 2 are black
Desired outcomes:
5 red, from a set of 8
2 black, from a set of 5
[tex]D = C_{8,5}*C_{5,2} = \frac{8!}{5!(8-5)!}*\frac{5!}{2!(5-2)!} = 56*10 = 560[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{560}{170544} = 0.0033[/tex]
0.0033 = 0.33% probability that 5 are red and 2 are black
c) 4 are red and the rest are silver
Desired outcomes:
4 red, from a set of 8
3 silver, from a set of 9
[tex]D = C_{8,4}*C_{9,3} = \frac{8!}{4!(8-4)!}*\frac{9!}{3!(9-3)!} = 70*84 = 5880[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{5880}{170544} = 0.0345[/tex]
0.0345 = 3.45% probability that 4 are red and the rest are silver
true or false???????
Answer:
true that trump = worst president
Step-by-step explanation:
Answer:
1.)A rhombus is a quadrilateral with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses.
2.) When all 4 sides of a rectangle are equal then the rectangle is a square. So, a rectangle can also sometimes be a square
3.)If you have a rhombus with four equal interior angles, you have a square. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
4.)Yes. Every square is a closed figure, and every square has 4 straight sides, so every square is a quadrilateral.
Step-by-step explanation:
hope this helps <3
an online store sells DVDs for $10 each the shipping charge for an entire order is $5.50 Frank order d DVDs write an expression that represents the total cost a Frank's DVDs
10d + 5.50 = x (the total cost)
One year, the population of a city was 80,000. Several years later it was 66,400. Find
the percent decrease.
Answer:
The population decrease by 17%.
Step-by-step explanation:
This is because 66,400 is 83% of 80,000.
100%-83%= 17%
Therefore, the percentage of the population that decreased was 17%
Ex astea 2 plzzzzzzzz
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. Suppose that it is somehow known that the population standard deviation is 1.4. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
Answer:
sigma should be used
Step-by-step explanation:
Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.
The above given is for sample of 27 size.
For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.
But once population std deviation is given, we use only that as that would be more reliable.
So here we can use population std deviation 1.4 only.
If population std deviation is used we can use normality and do Z test
Hope this helps ;)
In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime. The government is deciding whether to rely on the clairvoyant Precogs to stop the criminals before they commit the crime. If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time (in other words, the Precogs fail to predict crime only in 0.001% of the cases). If a person is not going to commit a crime, the Precogs identify that person as law-abiding 99.99% of the times (in other words, the Precogs convict innocent people only in 0.01% of the cases). What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime
Answer:
0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime
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: Flagged as future criminal
Event B: Commits a crime.
In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime.
This means that [tex]P(B) = \frac{100}{1000100} = 0.00009999[/tex]
If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time
This means that [tex]P(A|B) = 0.99999[/tex]
Probability of being identified as a criminal:
0.99999 out of 0.00009999(identified and commits crime).
(1-0.99999) out of (1-0.00009999) (identifed and does not commits crime). So
[tex]P(A) = 0.99999*0.00009999 + (1-0.99999)*(1-0.00009999) = 0.000109988[/tex]
What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.00009999*0.99999}{0.000109988} = 0.9091[/tex]
0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime
Please help me with this question I am really confused
Step-by-step explanation:
The answer is consistent
Simplify the expression below.
12x+8+7x+-4
help plz
1/4x + 2/5x = 39
0.6x + 0.5 = 2.9
3/5x = 9
whoever can give me the answer with work will get branliest please help asap
Answer:
(a) [tex]x = 60[/tex]
(b) [tex]x = 2.64[/tex]
(c) [tex]x=15[/tex]
Step-by-step explanation:
Solving (a):
[tex]\frac{1}{4}x + \frac{2}{5}x = 39[/tex]
[tex]\frac{x}{4} + \frac{2x}{5} = 39[/tex]
Take LCM
[tex]\frac{13x}{20} = 39[/tex]
Multiply through by 20
[tex]20 * \frac{13x}{20} = 39 * 20[/tex]
[tex]13x = 39 * 20[/tex]
[tex]13x = 780[/tex]
Solve for x
[tex]x = 780/13[/tex]
[tex]x = 60[/tex]
Solving (b):
[tex]0.6x + 0.5x = 2.9[/tex]
This gives:
[tex]1.1x = 2.9[/tex]
Solve for x
[tex]x = \frac{2.9}{1.1}[/tex]
[tex]x = \frac{29}{11}[/tex]
[tex]x = 2.64[/tex]
Solving (c):
[tex]\frac{3}{5}x = 9[/tex]
Multiply both sides by [tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3}*\frac{3}{5}x = 9 * \frac{5}{3}[/tex]
[tex]x = 9 * \frac{5}{3}[/tex]
[tex]x = \frac{9 *5}{3}[/tex]
[tex]x = \frac{45}{3}[/tex]
[tex]x=15[/tex]
A group of students organized a car wash to raise money for a local charity. In 3 hours, they washed 12 cars. If the students keep washing cars at the same rate, how many cars did they wash in eight hours?
Answer:
32 cars
Step-by-step explanation:
3 hours = 12 cars
3/3 = 1
12/3 = 4
1 hour = 4 cars
x8 x8
8 hours = 32 cars
2) 8x +9y = 82
2x + 2y = 20
write an equation in slope intercept form for the line that has a slope of 4 and passes through the point (3,24)
Answer:
y=4x+12
Step-by-step explanation:
Please help me find the surface area of this shape!
1 Jeremy is driving to a friend's house that is 88 miles away from his home. The scale on Jeremy's map is Inch is equivalent to 8 miles. How far is it on the map 2 from Jeremy's house to his friends house?
4 1/2 inches
3 1/2 inches
5 1/2 inches
9 1/2 inches
Midtown Antiques has found that sales have decreased 5% from last year. Sales this year are $108,665. To the nearest dollar, find the amount of last year's sales. a. $115,384 c. $114,374 b. $114,384 d. $114,284
Answer:
b on edu
Step-by-step explanation:
3 days 22 hours equals how many hours
Answer:
94 hoursStep-by-step explanation:
3 days = 3×24 =72total hours= 72 + 22 = 94In AJKL, the measure of ZL=90°, LK = 12, KJ = 37, and JL = 35. What ratio
represents the secant of K?
Answer:
37/12
Step-by-step explanation:
sec A hyp/adj
For angle K, the adjacent leg is LK. JK is the hypotenuse.
sec K = hyp/adj
sec K = 37/12
WILL MARK BRAINLYIST
Bashir deposits money into a savings account every year. In his first year of saving money, he deposited $1,500.
Each year after that, he deposited $2,250. Write an explicit expression to represent the total amount of money, in
dollars, Bashir has deposited into his account, where n represents the number of years he has been contributing
money to the account.
Answer:
[tex]y = 2250x + 1500[/tex]
Step-by-step explanation:
Given the functions =−12 (2)x+3. Select all statements that are true.
Which table of values represents a linear function?
Answer:
B is the table value which represents the l
Need help with a math HW question urgently
If 1
Answer:
E
Step-by-step explanation:
Choose the equation rhat represents the fraction 1/8. 7÷8, 1÷8, 8÷7, 8÷1
Answer:
7÷8 and 8÷7
Step-by-step explanation:
Please help me, I will give brainliest, I am struggling badly.
Answer:
Slope Number 1 is Harry.
Step-by-step explanation:
y = -1/2 + 30
-1 being one less exercise to complete
2 being the 2 minutes spent on each exercise
and 30 being the number of exercises
Fiona enlarges a parallelogram that has a perimeter of 17 meters.
A small parallelogram has a left side length of 3.5 meters. A larger parallelogram has a left side length of 21 meters.
Not drawn to scale
What is the perimeter of the enlarged parallelogram?
30 meters
73.5 meters
102 meters
105 meters
Answer:
The correct answer is C.
Step-by-step explanation:
Answer: C. 102 cm
Step-by-step explanation:
I took the quiz on Edge, and it is correct.
7.50 on 250.00 is what percentage
Answer:
the answer is 3 zz
Step-by-step explanation:
Compare and contrast the AA similarity criterion with the ASA congruence criterion. Choose the correct answer.
A. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
B. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the non-included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
C. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same size.
D. Both criteria require that two pairs of sides be congruent, but for congruence you also need to know that the included angles are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
Answer:
A
Step-by-step explanation:
Both criteria require that two pairs of angles be congruent, but for congruence, you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape. Thus option A is correct.
What is AA similarity criterion?According to the Angle-Angle (AA) criterion, two triangle being considered comparable if "two angles from one triangle are equally equivalent to two angles of some other triangle."
According to the ASA congruence rule, two triangles are compatible when their two covered sides and two contained angles are equivalent to each other. However, thus according to AAS, if two triangles have two angles as well as one side that are identical to one another, then perhaps the triangles are congruent.
Because ASA and AAS are identical since it follows that if two images in one triangle are equal with two angles in another, therefore the third angles must likewise be identical. Therefore, option A is the correct option.
Learn more about AA similarity criterion, Here:
https://brainly.com/question/13619401
#SPJ2
what is an equal expression for 8(5m+5n-1) ?? Please and Thank you
Divide.
The area of a rectangular patio is 87 square feet. The length of the patio is 8 feet. What is the width of the patio?
Enter the correct answer in the box.
Answer: the width should be 12 i might be wrong i might of overthinked it the question ;-;
Find the function value.
f(-14) if f(x) = 2x - 3
Answer:2x-3
Step-by-step explanation:
Answer:
f(x) = -31
Step-by-step explanation:
We know that f(x) means y.
f(x) = 2x - 3
f(x)= 2(-14)-3
f(x)=-28-3
f(x )= -31
Please give Branliest!! Hope this helps!!
