Answer:
A) Upper limit = 7.39
Lower limit = 6.37
Margin of error = 0.51
B)Sample size = 87
C) Upper limit = 2218.50
Lower limit = 1909.50
Margin of error = 154.50
Step-by-step explanation:
We are given;
x¯ = $6.88 per 100 pounds
σ = $1.98 per 100 pounds
n = 45
A) We want to find a 90% Confidence interval. It means the significance level is; 1 - 0.9 = 0.1
Critical z-value for significance level of 0.1 is z = 1.645
Now, margin of error is;
MOE = zσ/√n
MOE = (1.645 × 1.98)/√40
MOE ≈ 0.51
Confidence interval is;
CI = x¯ ± MOE
CI = 6.88 ± 0.51
CI = ((6.88 + 0.51), (6.88 - 0.51))
CI = (7.39, 6.37)
Upper limit = 7.39
Lower limit = 6.37
B) We are given E = 0.35
Thus;
E = zσ/√n
Rearranging, we have;
n = (zσ/E)²
n = (1.645 × 1.98/0.35)²
n ≈ 87
Sample size = 87
C)We are told that the farm brings 15 tons of watermelon to market.
Also, 1 ton = 2000 pounds
Thus;
15 tons = 15 × 2000 pounds = 30000 pounds
Now this is per 100 pounds.
Thus, we can write as: 30000/100 = 300 pounds
So;
x¯ = 300 × 6.88
x¯ = 2064
σ = 1.98 × 300
σ = 594
Critical z-value for significance level of 0.1 is z = 1.645
Now, margin of error is;
MOE = zσ/√n
MOE = (1.645 × 594)/√40
MOE ≈ 154.50
Confidence interval is;
CI = x¯ ± MOE
CI = 2064 ± 154.50
CI = (2064 + 154.50, 2064 - 154.50)
CI = (2218.5, 1909.5)
Upper limit = 2218.50
Lower limit = 1909.50
(PLS HELP 50 PTS + BRANLIEST)
A={2, 3, 5, 7, 10} B={1, 4, 6, 8, 9, 10}, C={5, 6, 7}. The universal set U={1, 2, 3, 4, 5, ...10} List the elements of the following:
AUC=
A⋂U=
A⋂Ø=
Ā=
ĀUB=
Answer:
AUC= {2,3,5,6,7,10}
The second one=A
The third one= empty
I'm sorry. I don't know the others.
The growth of a sample of bacteria can be modeled by the function b(t) =100(1.06)^t where b is the number of bacteria and t is the time in hours. What is the number of total bacteria after 3 hours? Round to the nearest whole number.
Answer:
There are 119 bacteria after 3 hours.
Step-by-step explanation:
Let be [tex]b(t) = 100\cdot 1.06^{t}[/tex], where [tex]t[/tex] is the time, measured in hours, and [tex]b(t)[/tex] is the number of total bacteria, dimensionless. The number of total bacteria after 3 hours is found after evaluating the function at given function:
[tex]b (3) = 100\cdot 1.06^{3}[/tex]
[tex]b(3) = 119.102[/tex]
We rounded to the nearest preceeding whole number, since number of bacteria represents a discrete set. There are 119 bacteria after 3 hours.
Day
Distance
(miles)
1
Tuesday
Wednesday
Thursday
214
1%
Jesse is training for his track meet on Saturday. This chart shows the number of miles he ran on Tuesday, Wednesday, and Thursda
How many mites did Jesse run on these 3 days
Answer:
This is very unclear however if your miles are 214 and you need 1% of the miles you can multiply it by 0.01 and the answer would be 2.14 miles
Answer these two questions correctly and I’ll give brainlist ❤️.
Last month , Carter ran 48 miles. This was 60% of his goal. How many miles did cater set as his goal.
Lily wants to buy a tablet that cost $88. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet?
I will be giving out brainlist if the answer you submitted was correct❤️.
Posting this again please only answer if you actually know the answer and stop stealing my points :((
Answer:
1. 80 miles
2. $22
Step-by-step explanation:
1. i did 48 divided by 60 and got .8
then i multiplied .8 by 100 and got 80
2. i did 88 multiplied by .25
Regina's teacher recently gave her a homework assignment on solving equations. Since she has been ti
she decided to use the assignment as an opportunity to model a savings plan.
She created this equation to model the situation. In it, y represents the total amount saved for the new
she has now, 40 is the amount of money she saves each month for the phone, and x represents the num
a regular amount:
74 + 40x=y.
She then solved the equation to determine how many months she'd need to save to have enough to pur
work, and select the error.
Justification
1: given
2: subtraction property of equality
3: simplification
4: multiplication property of equality
5: simplification
6: substitution, y = 834
7: simplification
Step 1:
Step 2:
Step 3:
Step 4:
74 + 40x=y
74 + 40x - 74 = y- 74
40x = y-74
40.5 y - 74
40 =
40
y - 74
X= 40
834 - 74
X = 40
Step 5:
Step 6:
Answe
Step-by-step explanation:
need brainest pls
The radius of a volleyball is 0.05 m, calculate its volume.
Answer:
0.00052m
Step-by-step explanation:
Step-by-step explanation:
radius of volleyball= 0.05m
volume = ?
we know,
volume=4/3πr^3
=4/3×0.00039
=0.0005m^3 #
Find the distance between the two points rounding to the nearest tenth (if necessary). (-6,5) and (3,-7)
The distance between points (-6,5) and (3,-7) is 15 units.
How to find the distance between two points?In the coordinate plane, the points are denoted by coordinate and the distance means the physical distance between them.
Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Given the points (-6,5) and (3,-7)
Here x₁ = -6 , x₂ = 3
y₁ = 5 and y₂ = -7
So,
[tex]d = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {5 +7 } \right)^2 }[/tex]
d = √225
d = 15 units.
Hence "The distance between points (-6,5) and (3,-7) is 15 units".
To learn more about the distance between two points,
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f(x) = 5x3 + 2x2
35x
14
-
Answer:
651
Step-by-step explanation:
f(x) = 5×3 + 2×2
35x
14
= 5×3 = 15
= 2×2 = 4
= 15 + 4
= 19
35(19) - 14
= 665 - 14
= 651
what is 1x1x1x1xx2x3xx4x6xx8xx0x9x-x8x76xx54xx6x45c3xx6357x63x
Answer:
The answer to 1x1x1x1xx2x3xx4x6xx8xx0x9x-x8x76xx54xx6x45c3xx6357x63x
is 4,727,808
Step-by-step explanation:
RS = 4x – 9, ST = 19, RT = 80 – 14
Equation:
82 – 14
RS
RT
Step-by-step explanation:
The expressions are not properly written
Given
RS = 4x – 9
ST = 19
RT = 8x – 14
Based on the given parameters, the addition postulate below is true
RS+ST = RT
Substitute
4x-9+19 = 8x-14
collect like terms
4x-8x = -14-19+9
-4x = -33+9
-4x = -24
x = -24/-4
x = 6
Get RS:
RS = 4x-9
RS = 4(6)- 9
RS = 24-9
RS = 15
Get RT:
RT = 8x - 14
RT = 8(6)-14
RT = 48-14
RT = 34
Help please for brainliest
Janisa researched fast-growing industries and occupations, while Rylan researched industries and occupations that have the highest employment. Which most likely describes Janisa and Rylan’s findings? Janisa found that home health care is the fastest growing occupation and services for the elderly is the fastest growing industry, while Rylan found that elementary and secondary school teaching are the occupations with the highest employment and retail sales is the industry with the highest employment. Janisa found that services for the elderly is the fastest growing occupation and home health care is the fastest growing industry, while Rylan found that retail sales is the occupation with the highest employment and elementary and secondary school teaching is the industry with the highest employment. Janisa found that home health care is the fastest growing occupation and services for the elderly is the fastest growing industry, while Rylan found that retail sales is the occupation with
Answer:
Janisa found that home health care is the fastest-growing occupation and services for the elderly is the fastest growing industry, while Rylan found that elementary and secondary school teaching are the occupations with the highest employment and retail sales is the industry with the highest employment.
Explanation:
We make this conclusion because when we look at all the other options none matches the definition of occupations and industries. However, if Janisa found that home health care is the fastest-growing occupation, and then services for the elderly are the fastest growing industry, it matches what we know an industry and occupation mean.
While, if Rylan found that elementary and secondary school teaching are the occupations with the highest employment, it matches an example of occupation also, and if he discovers that retail sales is the industry with the highest employment it also falls under industry types.
However, the other options mismatched industry examples for occupations.
Answer:I think the answer is C the third option
Step-by-step explanation:
Two sides of a rectangle iPhones are five and 5/8 feet long other two sides of 6 1/4 feet long what is the perimeter
Answer:
Here it is!
Step-by-step explanation:
the 3 in 43.54 is how much larger than the 3 in 56.37?
Answer:
10 times larger
Step-by-step explanation:
I used my brain plus I learned it in 5th grade
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 2525 dollars and a standard deviation of 88 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 2828 dollars in interest
Complete Question
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest
Answer:
0.354
Step-by-step explanation:
We solve for z score in this question.
The formula is given as:
z = (x-μ)/σ, where
x is the raw score = $28
μ is the population mean = $25
σ is the population standard deviation = $8
z= 28 - 25/8
z = 0.375
P-value from Z-Table:
P(x<28) = 0.64617
P(x>28) = 1 - P(x<28)
= 1 - 0.64617
= 0.35383
Approximately to 3 decimal places = 0.354
The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.
whats 10+-6. is it
16
-4
4
-16
Two triangles are shown to be congruent by identifying a combination of translations, rotations, or reflections that move one figure onto the other. If ΔACB ≅ ΔPRQ, which angle must be congruent to ∠C? Why?
A) ∠Q because corresponding parts of congruent triangles are congruent.
B) ∠R because corresponding parts of congruent triangles are congruent.
C) ∠Q because the triangles are isosceles and the base angles are congruent.
D) ∠R because the triangles are isosceles and the base angles are congruent.
Answer:
C. ∠Q because the triangles are isosceles and the base angles are congruent.
May I have brainliest please? :)
Answer:
B is the answer
Step-by-step explanation:
Cuz i just got it wrong because of the Bozo above me . . . all love
The total cost for 22 gallons of gas is $68.30. How many dollars per gallon of gas did you spend?
Answer:
$3.10 per gallon
Step-by-step explanation:
Take the total cost and divide by the number of gallons
68.30/22
3.1045454545
Round to the nearest cent
$3.10 per gallon
Answer:
$3.10 per gallon
Step-by-step explanation:
You just have to divide $68.30 by 22. (And round)
$68.30 divided by 22 = 3.10
So, you answer will be 3.10
= $3.10 per gallonHope this helps! And happy Halloween x-x
^w^
Please help.. I’m stuck on this question
Answer: The answer is 1
Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.
I’m stuck on this question, can someone help me please?
Answer:
I think its 110
Step-by-step explanation:
What is the slope of the line perpendicular to y = 4x + 2
Answer:
slope is -1/4
Step-by-step explanation:
y = 4 x + 2
Use the equation y = m x + b
So m=4
And MPerpendicular=-1/4
Hope this helps!!
can yall help me out please.
Answer:
which one equals 12? option C
Step-by-step explanation:
Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.
Answer:
2 times 8 = 16 divided by 3 leaves a remander of 1
Step-by-step explanation:
The smallest whole number is 22.
What is Least Common Multiple?Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
Given:
First find the LCM of 7 and 3 .
LCM = 3 x 7 = 21
So, we will add remainder 1 (as given) to the LCM .
= 21+ 1
= 22
Learn more about LCM here:
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15 men can dig a trench of 90 m long in
3 hours. How long will it take 16 men
to dig a trench 48 m long?
Answer:
1.5 hours= 1hr 30m
Step-by-step explanation:
90÷15=6
6÷2=3
48÷16=3
3÷2=1.5
Mark me as brainliest if u found it helpful
Using proportional variables, it is found that it will take 1.5 hours for 16 men to dig a trench 48 m long.
The time needed is direct proportional to the length of the trench, and inverse proportional to the number of men, thus, the equation is:
[tex]t = k\frac{l}{m}[/tex]
In which:
t is the time.k is the constant of proportionality.l is the length of the trench.m is the number of men.15 men can dig a trench of 90 m long in 3 hours, thus [tex]m = 15, l = 90, t = 3[/tex], this is used to find k.
[tex]t = k\frac{l}{m}[/tex]
[tex]3 = k\frac{90}{15}[/tex]
[tex]6k = 3[/tex]
[tex]k = \frac{3}{6}[/tex]
[tex]k = 0.5[/tex]
Thus:
[tex]t = 0.5\frac{l}{m}[/tex]
16 men, 48m long, thus [tex]l = 48, m = 16[/tex], and the time is:
[tex]t = 0.5\frac{l}{m} = 0.5 \times \frac{48}{16} = 0.5(3) = 1.5[/tex]
It will take 1.5 hours for 16 men to dig a trench 48 m long.
A similar problem is given at https://brainly.com/question/14876746
Carmen creates the ratio table above based on one 8-ounce serving of juice.
How many total calories will 4 servings of juice contain?
420
520
650
780
I’ll give you brainiest!
Answer:
520. Becuase with each serving added the total calories go up by 130, 130+390=520.
A package of 24 trading cards sells for $4.99 Based on this price, what is the price per card
Answer:
4.80961924
Step-by-step explanation:
The mean useful life of car batteries is 48 months. They have a standard deviation of 3. Assume the useful life of batteries is normally distributed. a. Calculate the percent of batteries with a useful life of less than 45 months. (Round your answer to the nearest tenth percent.) b. Calculate the percent of batteries that will last longer than 54 months. (Round your answer to the nearest tenth percent.)
Answer:
a) 15.9%
b) 2.3%
Step-by-step explanation:
We solving using z score formula. This formula is given as:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
a. Calculate the percent of batteries with a useful life of less than 45 months. (Round your answer to the nearest tenth percent.)
x = 45, μ = 48, σ = 3
z = 45 - 48/3
= -1
Probability value from Z-Table:
The probability of batteries with a useful life of less than 45 months so
P(x<45) = 0.15866
Converting to percentage
0.15866 × 100 = 15.866
Approximately to the nearest tenth of a percent = 15.9%
b. Calculate the percent of batteries that will last longer than 54 months. (Round your answer to the nearest tenth percent.)
x = 58, μ = 48, σ = 3
z = 58 - 48/3
= 2
Probability value from Z-Table:
P(x<54) = 0.97725
P(x>54) = 1 - P(x<54)
= 0.02275
The probability of batteries that will last longer than 54 months is 0.02275
Converting to percentage
0.02275 × 100
= 2.275%
Approximately to the nearest tenth of a percentage = 2.3%
Which of the following numbers can be expressed as repeating decimals?
5 over 7 , 4 over 5 , 7 over 9 , 5 over 8 help plz
Answer:
7/9
Step-by-step explanation:
When 7/9 is put as a decimal then its 0.777777. This makes it a repeating decimal.
what is the greatest common factor of 20, 50, and 25
Answer:
Step-by-step explanation:
The greatest common factor of 20, 50, and 25 is 5.
Given that,
The numbers are 20,50 and 25.Based on the above information, the calculation is as follows:
[tex]20 = 5\times 4\\\\ 50 = 5\times 10\\\\ 25 = 5\times 5[/tex]
So here the common factor is 5
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Write the set that represents the set of people surveyed who subscribe to at least one of the two news sources given.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is d
Step-by-step explanation:
From the question we are told that
The set of people in a certain community who were asked if they subscribe to an information source is U
The set that subscribes to The Daily Informer is D
The set that subscribe to News Magazine is N
Here the universal set is U
Now the word at least here means that the person can subscribe to one or two of the information source , but the person cannot subscribe none of the information source
Now to get the set that represents the set of people surveyed who subscribe to at least one of the two news sources , we need to carry out a union operation on the sets representing the two news source , this can be mathematically represented as
[tex]L = N \ u \ D[/tex]
So the sets that will contain all the people in the community that subscribe to at least one of the news source is L