Given:
Width of the rectangular yard = x feet
Length of the rectangular yard = x+4 feet
Perimeter of the rectangular yard is:
[tex]P=4x+8[/tex]
Perimeter of the yard = 84 feet
To find:
The length of the rectangular yard.
Solution:
Perimeter of the yard is 84 feet.
[tex]4x+8=84[/tex]
[tex]4x=84-8[/tex]
[tex]4x=76[/tex]
Divide both sides by 4.
[tex]x=\dfrac{76}{4}[/tex]
[tex]x=19[/tex]
So, the width of the rectangular yard is 19 feet.
Length = [tex]19+4[/tex]
Length = [tex]23[/tex]
The length of the rectangular field is 23 feet.
Therefore, the correct option is B.
A particular fruit's weights are normally distributed, with a mean of 372 grams and a standard deviation of 26 grams. If you pick 36 fruit at random, what is the probability that their mean weight will be between 365 grams and 380 grams
Answer: 90.93%
Step-by-step explanation:
M= 372
s= 26
n=36
P(365<x<380)
1. Find Z ----> 365-372 [tex]\sqrt{36}[/tex] = -1.6 Next Z----> 380 - 372 [tex]\sqrt{36}[/tex]= 1.8
26 26
2. plug into calculator to find probablity: normalcdf(-1.6 , 1.8 ) = .90927 or 90.93% that the prob is between 365 and 380
Upon studying low bids for shipping contracts, a microcomputer manufacturing company finds that intrastate contracts have low bids that are uniformly distributed between 23 and 29, in units of thousands of dollars. (a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000. (Round your answer to four decimal places.) (b) Find the probability that the low bid on the next intrastate shipping contract is in excess of $28,000. (Round your answer to four decimal places.)
Answer:
a) 0.3333 = 33.33% probability that the low bid on the next intrastate shipping contract is below $25,000.
b) 0.1667 = 16.67% probability that the low bid on the next intrastate shipping contract is in excess of $28,000.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b.
The probability of finding a value lower than x is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniformly distributed between 23 and 29
This means that [tex]a = 23, b = 29[/tex]
(a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000.
[tex]P(X < 25) = \frac{25 - 23}{29 - 23} = 0.3333[/tex]
0.3333 = 33.33% probability that the low bid on the next intrastate shipping contract is below $25,000.
(b) Find the probability that the low bid on the next intrastate shipping contract is in excess of $28,000.
[tex]P(X > 28) = \frac{29 - 28}{29 - 23} = 0.1667[/tex]
0.1667 = 16.67% probability that the low bid on the next intrastate shipping contract is in excess of $28,000.
Write the equation: a number increased by 4 is 10
Just checking my work I think it’s 4+x=10
I’m not sure lol
Right answer gets brainiest!
Answer:
x + 4 = 10
Step-by-step explanation:
a number: x
a number increased by 4: x + 4
a number increased by 4 is 10: x + 4 = 10
Since 4 + x and x + 4 are the same, you are correct.
Answer: I'm pretty sure your correct
Step-by-step explanation:
PLEASE HELP!
Please help me I don’t understand how to do this and it has to be done by tonight!!!
Answer:
these are notes i wrote in geometry I'm not sure if this will help. it's been a few months since i did this
Need help on this please
Answer:
64 pi
Step-by-step explanation:
Area of a circle is pi(r) ^ 2
The radius is half the diameter, so it would be 8 mi.
Pi ( 8 ) ^ 2
Pi ( 64 )
It would be 64 pi
In the graph above, what's the distance between (-1,-4) and (-1,5)?
A) 1 unit
B) 9 units
C) -9 units
D) 7 units
1:44 AM
The graph of y=f(x) is a transformation of the graph y=h(x) write a formula for the function f in terms of function h
Answer:
y=h(x)-8
Step-by-step explanation:
it shifted down 8 units
Answer:
f(x)= h(x)+8
Step-by-step explanation:
This problem uses the statistical postulate to address diffusion. Consider eight particles, 4 black and 4 white. The particles are in a liquid with two halves separated by a permeable membrane, so each particle can be either on the left or the right of the membrane. According to the statistical postulate, every arrangement of the 8 particles is equally likely. Arrangements can be summarized according to which particles are on the left and which on the right, with the membrane represented by a vertical line |. Some possible arrangements are: BBBBWWWW, BWBW|BWBW, and WWW|BBW. How many different arrangements are there?
Answer:
There are 362,880 different arrangements.
Step-by-step explanation:
Arrangements of n elements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
In this question:
Arrangements of 8 particles, plus the membrane, for which there are 9 possible positivos.
How many different arrangements are there?
[tex]T = 9A_{8} = 9*8! = 362880[/tex]
There are 362,880 different arrangements.
What are the values of the function y= 3x - 4 for x = 0,1,2, and 3?
A. -4, -1, 2, and 5
The value in dollars, v(x), of a certain car after x years is represented by the equation vx=25,0000.86x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?
Explanation is in the file
tinyurl.com/wpazsebu
Answer: The car is worth $ 2,588.6 after two years than after 3 years.
Step-by-step explanation:
x=2
v(x)=25,000(0.86)^2
v(x)=18,490
x=3
v(x)=25,000(0.86)^3
v(x)=15,901.4
18,490 - 15,901.4= 2588.6
First one to answer gets BRAINLIEST no cap look at the picture.
Answer:460
Step-by-step explanation:
Find the value of x.
The answer would be x=18. First you set it up by setting up an equation;
166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.
4. There are 4 white socks, 6
black socks, 3 blue socks, and
2 red socks. What is the ratio
of blue socks to all socks in
simplest form?
Given : ABCD is a rectangle
m∠B1DB = 60°, m∠ADB = 45°
DB1=37
Find: Volume
Answer:
Step-by-step explanation:
∠B₁DB = 60°
△B₁BD is a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2
B₁D = 37 ⇒ BD = 37/2 = 18.5
BB₁ = 18.5√3
△ABD is isosceles
AB = AD = BD/√2 = 18.5/√2
volume = AB × AD × BB₁
= (18.5/√2) × (18.5/√2) × 18.5√3
= 18.5³√3/2
≅ 5483 cubic units
2 of 8
An object has a mass of 540 kg and a volume of 6 m3.
Find the density of the object in m3.
kg/m3
answer is 90Kg/m3
use this formula : Density = mass / volume
Convert 48 ounces to pounds.
Answer:
Step-by-step explanation:
3 lbs
Answer:
3 pounds 16oz equals 1 pound
and 48 divided by 16 is 3
give brainliest plz ༼ つ ◕_◕ ༽つ
Step-by-step explanation:
Please help ill give brainliest
Write and solve equations for the following scenarios:
5) angles 1 and 2 are supplementary. The measure of angle one is 64 degrees larger than the measure of angle 2.
6) The complement of an angle is 20 degrees more than the measure of the angle itself.
7) two angles are complementary. One angle is 49 degrees. What is the measure of the other angle?
Answer:
7) =41 (5) Angle one is 154 and Angle two is 26 or atleast what it should be
Step-by-step explanation:A complementary angle is 90 degrees in total,so you do 90-49=41. I do not know about question 6 tho.
Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus stop in exactly 5 minutes, but because Route 51 is unreliable, you believe that the amount of time until it arrives is uniformly distributed between 0 and 20 minutes. You take the first bus that arrives. Let T be the number of minutes you wait until you board a bus. Find E[T].
Answer:
E[T] = 10
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:
[tex]E = \frac{a+b}{2}[/tex]
Uniformly distributed between 0 and 20 minutes.
This means that [tex]a = 0, b = 20[/tex]
Let T be the number of minutes you wait until you board a bus. Find E[T].
This is
[tex]E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10[/tex]
E[T] = 10
I need help finding the area and perimeter to this question. Pls help!! Thank you!
Answer:
Perimeter: 50.27
Area: 201.06
Step-by-step explanation:
The perimeter (circumference) is radius times pi times 2
This would be 8 times pi tomes 2 and when you do that you get 50.27
For the area you would do radius squared times pi
This would be 8 squared times pi which is 201.06
Hope this is helpful
- Please mark brainliest :)
Write an expression to represent: Four less than the quotient of a number x and 5.
Georgia brought a snow cone shaped like the cone below what is the height of the snow cone
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem.
h² = 5² - 3² = 4²
h = 4 in
Solve the system of equations
4x+3y=16
y=x+3
X=
Y=
First you substitute.
[tex]4x+3(x+3)=16\\4x+3x+9=16\\7x=7\\x=1\\y=4[/tex]
Answer:
x = 1 and y = 4
Step-by-step explanation:
Because y = x + 3 we can substitute 3y with 3(x + 3)
4x + 3(x + 3) = 16
4x + 3x + 9 = 16
7x + 9 = 16
7x + 9 - 9 = 16 - 9
7x = 16 - 9
7x = 7
7x ÷ 7 = 7 ÷ 7
x = 7 ÷ 7
x = 1
Since y = x + 3 and x = 1 y = 4.
1 + 3 = 4
x = 1 and y = 4
Check:
x = 1 and y = 4
1 x 4 + 3 x 4 = 16
4 + 12 = 16
A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data from this sample, it was reported that over half of U.S. adults would give themselves a grade of A or B on their knowledge of personal finance. This statement was based on observing that 939 people in the sample would have given themselves a grade of A or B.
(a) Construct and interpret a 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance. (Round your answers to three decimal places.)
(,)
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B? Explain why or why not.
Because this confidence interval _____ is entirely below 0.5contains 0.5is entirely above 0.5 , the interval ______ is not consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Answer:
a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.
This means that [tex]n = 1664, \pi = \frac{939}{1664} = 0.5643[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588[/tex]
The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?
Yes, because the confidence interval is entirely above 0.5.
Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
Zynga and Walmart which balance sheet items does the two have in common
Mrs Sogiba is catering for her son's birthday party. She has invited some of
her son's friends to theparty. The number of friends is a compositemultiple of her
son's age on his birthday. She has baked 48 cup cakes and each childwill receive
exactly the same number of cupcakes. Use your knowledge of factors and multiples
to find out how old her son will be on this birthday.
Answer:
48 cupcakes divided by the boys age equals amout of cupcakes per person.
Step-by-step explanation:
Choose the statement that is always true.
A. Two rectangles are similar.
B. Two similar polygons are congruent.
C. Two congruent triangles are similar.
D. Two acute triangles are similar.
Answer:
C.
Step-by-step explanation:
This would be the most likely the answer because it is true compare to the other choses.
ps- I am sorry if this wasn't much help.
What is the mean of the data set?
Enter your answer as a decimal in the box. Round to the nearest tenth.
mean =
Answer:
2.4
Step-by-step explanation:
1.5+1.5+2+2+2+2.5+3+3.5+4=22
22/9=2.4
Answer:
2.4 I think and hello have a great day
The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.
Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?
Answer- b
Step-by-step explanation:
its b
Austin buys $10 worth of food for his dog each week. There are 52 weeks in a year.
How much is Austin paying for food for his dog in a year?
Which proportion could be used to solve this problem?
Answer:
b i think
Step-by-step explanation:
How do I do this please help
Answer:
1. y= 1/3x+2
2.y=-3/4x-5
Step-by-step explanation: