Answer:
333 miliacres
Step-by-step explanation:
First of all, you should know that 1 acre is the same as 4046.9 m²
So, 1/3 of those 4046.9 m² is fully covered by strawberries.
By the way, 4046.9m² . 1/3 = 1348.96 m². This is our planted field.
Let's convert the measure to acres, though:
1348.96 m² . 1 acre / 4046.9 m² = 0.333 acres
0.333 acres . 1000 / 1 acre = 333 miliacres
If you want to know in another unit, let's do another conversion
0.333 acre . 43560 square feet / 1 acre = 14520 square feet
Find the sum of the geometric series 1 + 0.8 + 0.8^2 +0.8^3 + ... + 0.8^{19}
Answer:
S20 ≈ 4.942
Step-by-step explanation:
Sum of a geometric series is expressed as Sn = a(1-rⁿ)/1-r if r<1
a is the first term
r is the common ratio
n is the number of terms
Given the geometric series
1 + 0.8 + 0.8^2 +0.8^3 + ... + 0.8^{19}
Given a = 1,
r = 0.8/1 = 0.8²/0.8 = 0.8
n = 20 (The total number of terms in the series is 20)
Substituting this values in the formula above.
S20 = 1(1-0.8^20)/1-0.8
S20 = 1-0.01153/0.2
S20 = 0.9885/0.2
S20 ≈ 4.942
The expected duration of the project (average) is 30 days and variance is 16. 1. What is the probability that the project will be completed on day 32 or earlier? 2. Suppose the official deadline for the project is 34 days. What is the probability that the project will be delayed?
Answer:
1. 69.15% probability that the project will be completed on day 32 or earlier
2. 15.87% probability that the project will be delayed
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation(which is the square root of the variance) [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 30, \sigma = \sqrt{16} = 4[/tex]
1. What is the probability that the project will be completed on day 32 or earlier?
This is the pvalue of Z when X = 32. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{32 - 30}{4}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
69.15% probability that the project will be completed on day 32 or earlier
2. Suppose the official deadline for the project is 34 days. What is the probability that the project will be delayed?
This is 1 subtracted by the pvalue of Z when X = 34. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34 - 30}{4}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
1 - 0.8413 = 0.1587
15.87% probability that the project will be delayed
1 Point
In mathematics, when we talk about a(n) we are talking about some of
the people, places, or things under consideration.
Answer:
Population
Step-by-step explanation:
In mathematics, when we talk about the people, places, or things under consideration, we are referring to the population. The Population is the entire sum of objects in a study. When a researcher wants to study factors that concern a particular set of people, places, or things, the group under study is the population. For example, the researcher might want to do a study on the amount of food consumed by Brazilian students in the year 2019. The Brazilian students represent the population, because they are the group of people being studied.
The population under study might sometimes be difficult to study as a whole. For example, the study of the entire Brazilian students might be cumbersome. In such cases, a sample can be drawn from the population and studied, or the population narrowed down a little more, so that it can be easily studied.
Jar A contains four liters of a solution that is 45% acid. Jar B contains five liters of a solution that is 48% acid. Jar C contains one liter of a solution that is k % acid. From jar C, 2/3 liters of the solution is added to jar A, and the remainder of the solution in jar C is added to jar B. At the end both jar A and jar B contain solutions that are 50% acid. Find k.
Answer:
k= 80%
Step-by-step explanation:
Jar A contains 4*0.45 L acid, and 4 L of a solution of acid.
Jar B contains 5*0.48 L acid., and 5 L of a solution of acid.
Jar C contains 1*k/100 = k/100 acid, and 1 L of a solution.
50% = 0.5
For jar A.
(2/3)*k/100 L acid is added to jar A.
Now jar A contains 4*0.45 L + (2/3)*k/100 L acid, and it has (4+2/3)L of a solution.
L solute/L solution = 0.5
[4*0.45 L + (2/3)*k/100 L]/(4+2/3)L = 0.5
[1.8 + (2k/300)]/[(12+2)/3] = 0.5
[1.8 + (2k/300)]/[14/3] = 0.5
[1.8 + (2k/300)]= 0.5*(14/3)
(2k/300) = 0.5*(14/3) - 1.8
2k = (0.5*(14/3) - 1.8)*300
k = (0.5*(14/3) - 1.8)*300/2 =80
k= 80%
We also can find k using jar B.
(1/3)k/100 L acid is added to jar B.
Now jar B contains 5*0.48 L+ (1/3)k/100 L acid, and it has (5+1/3) L of a solution.
L solute/L solution = 0.5
[5*0.48 L+ (1/3)k/100 L ]/(5+1/3)L= 0.5
[5*0.48 + (1/3)k/100 ]/(5+1/3)= 0.5
This equation also gives k=80%
Check.
We can check at least for jar A.
Jar A has 4L solution and 4*0.45=1.8 L acid.
2/3 L of the solution from jar C was added, and now we have 4 2/3 L of solution.
(2/3)* 80%= (2/3)*0.8 acid was added from jar C.
Now we have [1.8 +(2/3)*0.8] L acid in jar A.
L solute/L solution = [1.8 +(2/3)*0.8] L /(4 2/3) L = 0.5 or 50% as it is given that jar A has 50% at the end.
What assumptions do you need to make about the shape of the population distribution of all possible tax preparation times to make inferences about the mean time to complete a tax form?
Answer:69
Step-by-step explanation:
Because i am smart.
What is the volume of the cylinder below?
O A. 70K units
O B. 2257, units
O C. 1757 units
O D. 357 units
Answer:
V = V = 175 pi units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V =pi ( 5)^2 ( 7)
V = 175 pi units^3
correct answer gets brainliest Please explain as well 3x+5y=21 4x-2y = -24
Answer:
x=-3 y=6
Step-by-step explanation:
it was a easyone ,don't forget to mark me as a brainlinest .☺️
Thomas is in charge of selling roses for the Graduation dance. The roses sell for $3.50 each. He estimates that the expenses of the roses will be $30. Thomas wants to write an equation for the profit.
Answer:
P= $3.5x -$30
Step-by-step explanation:
Let the number of roses Thomas bought and sold be x.
Hence the total selling price would be;
$3.5 × x= $3.5x
The profit = selling price-expenses
P= $3.5x -$30
The graph of f(x) is reflected across the x-axis. Write a function g(x) to describe the new graph. g(x)=
Answer: g(x) = -f(x)
Step-by-step explanation:
When we have a point (x, y) and we reflect it over the x-axis, the end result of the reflection is the point (x, -y)
In this case we have a function reflected, and we know that we can write a function as (x, f(x))
So when we reflect it, the result will be (x, g(x)) = (x, -f(x))
So we have g(x) = -f(x)
Is 1.06 greater than 0.6
Answer:
it is
Step-by-step explanation:
The owners of Prim's Pizza are concerned that many of their customers are starting to purchase pizza from The Pizza Palace because of its new pizza, which has fewer calories than Prim's. A random sample of 100 medium pizzas from Prim's found a mean of 240 calories and a standard deviation of 8.6 calories. A random sample of 100 medium pizzas from The Pizza Palace found a mean of 210 calories and a standard deviation of 5.7 calories. Which of the following formulas gives a 95% confidence interval for the difference in mean calories between a Prim's Pizza medium pizza and a medium pizza from The Pizza Palace?
Answer:
[tex] (240-210) -1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=27.953[/tex]
[tex] (240-210) +1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=32.047[/tex]
And the confidence interval for the difference is between:
[tex] 27.953 \leq \mu_1 -\mu_2 \leq 32.047[/tex]
Step-by-step explanation:
We have the following info given:
[tex] \bar X_1 = 240[/tex] sample mean for medium Pizzas from Prim's
[tex] \bar X_2 = 210[/tex] sample mean for medium Pizzas from Pizza Place
[tex] s_1 =8.6[/tex] sample deviation for Prim's
[tex] s_2 =5.7[/tex] sample deviation for Pizza Palca
[tex] n_1 =n_2 = 100[/tex] sample size selected for each case
The confidence interval for the difference of means is given by:
[tex] (\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}[/tex]
And for the 95% confidence we need a significance level of [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], the degrees of freedom are given by:
[tex] df= n_1 +n_2 -2= 100+100-2 =98[/tex]
And the critical value would be
[tex] t_{\alpha/2}= 1.984[/tex]
And replacing we got:
[tex] (240-210) -1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=27.953[/tex]
[tex] (240-210) +1.984 \sqrt{\frac{8.6^2}{100}+\frac{5.7^2}{100}}=32.047[/tex]
And the confidence interval for the difference is between:
[tex] 27.953 \leq \mu_1 -\mu_2 \leq 32.047[/tex]
Answer:
E
Step-by-step explanation:
30 plus or minus 1.98 sqrt 8.6^2/100 + 5.7^2/100
what is the equation of the graph that represents the parent function f(x) = x4 stretched vertically by a factor of 2, and then shifted down 3 spaces
Answer:
f(x) = 2x^4 - 3
Step-by-step explanation:
First multiplying by 2 giving f(x) = 2x^4 stretches it vertically by factor 2.
Then subtract 3 to move it down 3 units:
f(x) = 2x^4 - 3.
Answer:
g(x)=2x^4-3
Step-by-step explanation:
A triangle undergoes a sequence of transformations. First the triangle is dilated by a scale factor of 1/3 about the orgin. The the triangle is reflected over the x axis. Finally, the triangle is translated left 3 units and up 2 units. How does the image triangle compare to the preimage triangle
Answer:
Since there was a dilation, the two triangles will be similar. The scale factor is less than one and is a reduction, therefore, the image will be smaller than the pre-image.
The 150 residents of the town of Wonderland were asked their age and whether they preferred vanilla, chocolate, or swirled frozen yogurt. The results are displayed next.Under 25 years old At least 25 years old Chocolate 40 15 Vanilla 20 40 Swirl 15 20What is the probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old?
Answer:
63.33% probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old
Step-by-step explanation:
A probability the number of desired outcomes divided by the number of total outcomes.
We are given the following chart:
Under 25 | At least 25
Chocolate: 40 | 15
Vanila: 20 | 40
Swirl: 15 | 20
What is the probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old?
There are 150 customers, which is the number of total outcomes.
Of those, 75 are at least 25 and 20 are under 25 and prefer Vanilla yogurt. So the number of desired outcomes is 75 + 20 = 95
95/150 = 0.6333
63.33% probability a randomly selected customer prefers Vanilla yogurt or is at least 25 years old
Sue invests £9000 in an account for one year.
At the end of the year, interest is added to the account.
Sue pays tax on this interest at a rate of 20%.
She pays £30.24 tax.
Work out the percentage interest rate for the account.
Answer:
The interest rate = 1.68%
Step-by-step explanation:
Sue invests £9000 in an account for one year.
She pays £30.24 at a rate of 20%
So 20% of the interest =£ 30.24
Let the interest be x
X0.2= 30.24
X=£ 151.2
The total interest was£ 151.2
The rate R at which generated this interest
R = (100*151.2)/(1*9000)
R= 15120/9000
R= 1.68%
The interest rate = 1.68%
hello
Which of the below is more closer to 1
a)1+ 1/2
b)1- 1/8
c)1+ 1/5
d)1- 1/3
e)1+ 1/10
Answer:
1/10
Step-by-step explanation:
1 + 1/2 = 1 1/2
1 - 1/8 = 7/8
1 + 1/5 = 1 1/5
1 - 1/3 = 2/3
1 + 1/10 = 1 1/10
One and one tenth is closest to one because one tenth is the smallest amount that would need to be added or taken away to get exactly one. Hope I helped!
Answer:
E
Step-by-step explanation:
Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!
Answer:
4
4
Step-by-step explanation:
x litres of 15% solution + y litres of 19% solution= 8 gallons of 17% solution
disinfectant content of the final solution= 8*0.17= 1.36 gallons
0.15x+0.19y=1.36
x+y= 8 ⇒ x=8-y
0.15*(8-y)+0,19y= 1.361.2-0.15y+0.19y=1.360.04y=0.16y= 0.16/0.04y=4 gallonsx= 8-4= 4 gallonsItem 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm
Answer:
Step-by-step explanation:
item 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm
You did not state the diameter or radius of the window
so, i will use 90cm as the diameter of the window
First, I'd calculate the half circumference of the window.
The formula for circumference is [tex]c = 2\pi r[/tex],
Half of it would just be [tex]c/2 = r\pi[/tex]
Since our diameter is 90 cm, our radius is 45 cm.
Circumference =
[tex]=45\pi \\= 141.37 cm[/tex]
circumference is also the same with perimeter
so, the answer is 141.37cmto nearest tenth = 141.4cmAnswer:
141.4cm
Step-by-step explanation:
=>
please give barinlist
Which of the following source documents is used to summarize all of the costs incurred for a specific job?
Answer:
job cost sheet.
Step-by-step explanation:
When planning or working on a specific project/job all the actual costs that are incurred for that job are written down in the job cost sheet. This report is an entire compilation that should be created by the accounting department and then distributed to all the members of the management department who then analyze it and determine whether the job was correctly bided. This sheet gets updated as the job is undergoing and fully completed when the job is closed.
I don’t understand? Please help!
Zara travelled in a train moving at an average speed of 120km/h and covered a distance of 40km towards East. i. Calculate the time taken by the train to cover this distance.
Answer:
20 minutes
Step-by-step explanation:
Distance= 40 km
Speed= 120 km/h
Time= distance/speed= 40/120= 1/3 hour= 20 min
Answer:
Time = 0.33 hrs
Step-by-step explanation:
Given:
Speed = 120 km/hr
Distance = 40 km
Required :
Time = ?
Formula:
Speed = Distance/Time
Solution:
Time = Distance / Speed
Time = 40/120
Time = 0.33 hrs
what is the arc measure of minor arc DE in degrees?
help lol
Answer:
DE= 39°
Step-by-step explanation:
(4w+ 4 )+(4w+8)= 180
Solve for w
8w + 12 = 180
8w = 180-12
8w = 168
W= 21°
(4w+ 4)+(2w+11)+DE = 180
But w= 21°
((4*21 )+4)+((2*21)+11)+DE = 180
88 + 53 + DE = 180
DE = 180-88-53
DE= 39°
Solve the equation: 7(8 - 5z) + 17 = 3
Answer:
z=2
Step-by-step explanation:
56-35z+17=3
73-35z=3
-35z=-70
z=2
divide a number line from 0 to 1 into 8 equal lengths. What should he label the first tick mark to the right of 0?
Answer:
1/8
Step-by-step explanation:
since it is divided to 8 equal parts then the first tick is 1/8
What is the dominan of the function f(x)= -6x+7
Answer:
(-∞,∞)
Step-by-step explanation:
It's just a line
Answer:
INFINITIE, INFINITIE
Step-by-step explanation:
What’s the correct answer for this question?
Answer:
C.
Step-by-step explanation:
60° in Radians = 1.047
Using Formula
s=rθ
s= 7(1.047)
s ≈ 7.36
Area of composite shapes
Find the area of the shape shown below.
Answer:
32 units
Step-by-step explanation:
The large triangle on top has an area of 20, cause 4*10 = 40
40/2 = 20.
the square on the bottom has an area of 4, well, cause 2*2 = 4.
The smaller triangle on the left has an area of 2, cause 2*2=4
4/2=2
The triangle on the right, has an area of 6, because 6*2=12
12/2=6
20+4+2+6 = 32
Answer:
32 Units =)
Step-by-step explanation:
PLEASE ANSWER ASAP (exponential and logarithms)
Answer:
1.4650 (the first option in the list of possible answers)
Step-by-step explanation:
Start by isolating the exponential expression on one side of the equal sign, thus subtracting 2 from both sides:
[tex]2+3^x=7\\3^x=7-2\\3^x=5[/tex]
Now, in order to solve for "x", we need to lower the exponent, and for that purpose we use logarithm base "3":
[tex]3^x=5\\x=log_3(5)[/tex]
In order to find this logarithm, we use the change of base formula:
[tex]log_3(5)=\frac{log(5)}{log(3)} =1.46497...[/tex]
which rounded to four decimals gives: 1.4650
Find the future value of 575 at 5.5% compounded quarterly for 5 years. Round to the nearest cent
Answer:
Future value = $755.61 ( to the nearest cent)
Step-by-step explanation:
The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:
[tex]FV = PV (1+\frac{r}{n} )^{n*t}[/tex]
where:
FV = future value = ???
PV = present value = $575
r = interest rate in decimal = 5.5% = 0.055
n = number of compounding periods per year = quarterly = 4
t = time of investment = 5 years
∴ [tex]FV = 575 (1+\frac{0.055}{4} )^{4*5}[/tex]
[tex]FV = 575 (1+0.01375)^{20}\\FV = 575 (1.01375 )^{20}\\FV = 575 * 1.3141\\FV = 755.607[/tex]
∴ Future value = $755.61 ( to the nearest cent)
greatest common factor of (12x^3-9x^2)+(8x-6)
Answer:
[tex](4x-3)(3x^2)+2)[/tex]
Step-by-step explanation:
Answer:
The greatest common factor for the first parenthesis is 3 and the greatest common factor for the second parenthesis is 2
Step-by-step explanation:
Hope this helps plz mark brainliest!