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Related Questions
"An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.3 for a random sample of 2333 people. Assume the population standard deviation is known to be $11.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place."
Answers
Answer: ($19.8, $20.8)
Step-by-step explanation:
Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\overline{x}[/tex] = Sample mean, n= sample size, [tex]\sigma[/tex] = population standard deviation, z* = two tailed critical z-value.
Given: [tex]\overline{x}[/tex] = $20.3
n= 2333
[tex]\sigma[/tex] = $11.3
For 98% confidence, z* = 2.326
Then, the98% confidence interval for population mean will be:
[tex]20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)[/tex]
Hence, the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)
find the square root of 625
Answers
Step-by-step explanation:
square root of 625 is 25
For each of these intervals, list all its elements or explain 2.1 Sets 131 why it is empty. a) [a,a] c) (a, a] e) (a,b), where a > b b) [a,a) d) (a, a) f) [a,b],wherea>b
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Answer: b
Step-by-step explanation:
help ASAP. Which relation is a function?
Answers
Answer:
Answer choice on the top right.
Step-by-step explanation:
A function of points can not share the same x value.
which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST !!!
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Answer:
II and III
Step-by-step explanation:
I...
-9 - 5x > -1
-9 - 5(2) > -1
-9 - 10 > -1
-19 > -1
FALSE
II...
-9 - 5x > -1
-9 - 5(-5) > -1
-9 + 25 > -1
16 > -1
TRUE
III...
-9 - 5x > -1
-9 - 5(-10) > -1
-9 + 50 > -1
41 > -1
TRUE
Best of Luck!
Answer:
II. and III.
Step-by-step explanation:
-9 - 5x > -1
I. 2
-9 - 5(2) > -1
-9 - (10) > -1
-19 > -1
- 19 is not more than -1, thus I. is not an option
II. -5
-9 - 5(-5) > -1
-9 + 25 > -1
16 > -1
16 is more than -1, thus II. is an option
III. -10
-9 - 5(-10) > -1
-9 + 50 > -1
41 > -1
41 is more than -1, thus III. is an option
Unit rate
Find each unit rate.
1. $140 for 18 ft2
Answers
Answer:
$17.50
Step-by-step explanation:
140 divided by 18 equals 17.50, the unit rate is dollars per foot.
Answer:
$7.78 : 1 ft²
Step-by-step explanation:
140 : 18
÷18 ÷18
7 7/9 : 1
or
$7.78 : 1 ft²
An ant crept to a hole, which was 210 cm away.
It crept 40 cm per minute, but the wind pushed
it back 5 cm every minute. How many minutes
will it take the ant to reach the hole?
Answers
Answer:
6 minutes
Step-by-step explanation:
The ant can crawl 40 cm per minute but is pushed back 5 cm every minute aswell. In total the ant will crawl 35 cm per minute (40 - 5 = 35).
In order to find how long it will take for the ant to reach the hole we divide 210 by 35 (210/35) to get the answer of 6, therefore it takes the ant 6 minutes to reach the hole.
!!!!Please help!!!!Choose the answer that best represents the situation described below
Casey is taking pictures outdoors. She knows that the darker it is outside, the
stronger she needs to set her flash,
A. The amount of light outside is a function of the strength of flash
she needs
B. The strength of flash needed is a functlyn of the shutter speed of
her camera
C. The strength of flash needed is a function of the amount of light
outside,
SUBMIT
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Which values of a, b, and c correctly represent the answer in simplest form?
4 and one-half divided by 1 and one-fourth = a StartFraction b Over c EndFraction
a = 3, b = 6, c = 10
a = 3, b = 3, c = 5
a = 5, b = 3, c = 3
a = 10, b = 6, c = 3
Answers
Answer
the answer is a i
thinnk
Step-by-step explanation:
hope this helped!!
The values of the fraction are a = 3, b= 3, c= 5 is the correct answer.
What is a fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts. It is a number expressed as a quotient, in which a numerator is divided by a denominator.
For the given situation,
The fraction is given as [tex]\frac{4\frac{1}{2} }{1\frac{1}{4} }[/tex]
⇒ [tex]\frac{\frac{9}{2} }{\frac{5}{4} }[/tex]
⇒ [tex]\frac{9}{2}[/tex] × [tex]\frac{4}{5}[/tex]
⇒ [tex]\frac{18}{5}[/tex]
⇒ [tex]3\frac{3}{5}[/tex]
Thus from the above value a = 3, b= 3, c= 5.
Hence we can conclude that the values of the fraction are a = 3, b= 3, c= 5 is the correct answer.
Learn more about fractions here
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Marco has joined a bowling league, and is trying to raise his average to 140. On his last four games he scored 133, 130, 131, and 136. How much will he need to score on the next game to raise his mean to 140?
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133 + 130 + 131 + 136 + 170 / 5 = 140
subtract 8 from the input to get the output
divided the input by 3 to get the output
Answers
Answer: that will be 5
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Zenzizenzicube is an obsolete word that represents the square of the square of a cube. In symbols, zenzizenzicube is written as
(((x^3)^2))^2
Required:
a. Use the chain rule twice to find the derivative.
b. Use the properties of exponents to first simplify the expression, and then find the derivative.
Answers
Answer:
Step-by-step explanation:
Given the expression (((x^3)^2))^2
a) Differentiating the function with respect to x using chain rule.
Given y = (((x^3)^2))^2
Let u = (x³)²
y = u²; dy/du = 2u
Let p = x³; dp/dx = 3x²
u = p²; du/dp = 2p
Applying the chain rule formula:
dy/dx = dy/du • du/dp • dp/dx
substitute in the formula
dy/dx = 2u•2p•3x²
Since u = (x³)² and p = x³
dy/dx = 2(x³)²(2x³)(3x²)
dy/dx = 12x^6•x^5
dy/dx = 12x¹¹
b) Using property of exponent
y = (((x^3)^2))^2
y = (x^6)²
y = x¹²
dy/dx = 12x^12-1
dy/dx = 12x^11
13/20 of a number is what percentage of that number?
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Answer:
65%
Step-by-step explanation:
A number plus it’s opposite is ___ zero. always,sometimes,never
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Answer:
always
Step-by-step explanation:
determine the range of the following graph:
Answers
Answer:
(-15)
Step-by-step explanation:
(-7) - 8 = (-15) (Range is the difference between Max and Min Value)
please follow me and mark as brainliest
A grocery store sells bananas for $0.59 per pound. On Wednesdays, the store offers a 10% discount to senior
citizens. Create a function f (x) which models the amount, in dollars, a senior citizen would pay for 2 pounds
of bananas on Wednesday
Answers
Answer:
2
Step-by-step explanation:
f(x)= 0.90(0.59*2)
A grocery store sells bananas for $0.59 per pound. On Wednesdays, the store offers a 10% discount to senior citizens. We need to create a function f(x) which models the amount in dollars, a senior citizen would pay for 2 pounds
What is a simple Equation?
A mathematical equation which represents the relationship of two expressions on either side of the sign.
The 10% discount will make it so the senior citizens will pay 90% of the price.
90%=0.90
Also we need to know that 0.59*2 means how much money per pound the bananas cost.
So when you put it together, you should get f(x)=0.90(0.59*2)
The function f (x)=0.90(0.59*2) which models the amount, in dollars, a senior citizen would pay for 2 pounds of bananas on Wednesday
So the required function is f(x)=0.90(0.59*2)
To learn more on simple equations click here:https://brainly.com/question/19459372
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Find the value of f(15) if f(x) = 100x – 5x2.
Answers
this problem is to replace the variable (here "x" ) with a certain numerical value.
the given function is f(x) followed by the algebraic expression " 100x -5x^2 "
now u r asked to find f(15), mean u have to find the value of the "expression" with the numerical value "15" replacing "x"
so it looks like this:
f(x) = 100x -5x^2
f(15) = 100*15 - 5*(15)^2 [only "x" got replaced by it's numerical value "15"]
now u can calculate it
so
f(15) = 1500 - 5*225 = 1500 - 1125 = 375 (Ans.)
hope u got the basic idea.
feel free to ask if u have further queries.
all the best!
scientists are studying a population of 20 bugs and tracking the population, y, as it grows over time, t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?
Answers
Answer:
I am pretty sure it is
y >_ 20(0.061)^t
t >_ 0
Step-by-step explanation:
1.3.3- You currently have $50. You plan on spending $2 each day on candy at the
comer store on your way home from school. How long will it take until you are
left with only $18?
Your answer
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Answer:
It will take 16 days.
Step-by-step explanation:
50-18=32
32/2=16
32 represents the total amount of money spent before ending up with $18 left. If you spend $2 a day, just divide 32/2 (Total/Rate?). The final answer is 16 days.
To check, divide 50/2 to get 25 (days) and subtract the days we have (16).
25-16=9
9x2=18 or the $18 in the end of the problem.
If any of that was confusing, I'll be happy to answer any questions. It's just a pretty easy question so I am not sure if I did anything how you want or don't want it done.
There is 3 questions help asap
Answers
Pls help me I will give Brainlyest
Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. If Mrs. Rodriguez wants to leave a 20% tip on the
total, how much should she pay?
O $20.35
O $26.40
O $28.80
O $33.60
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Answer:
C
Step-by-step explanation:
$28.80
Answer:
c
Step-by-step explanation:
Simplify the problem 4{28-[10+(3+1)×2]}
Answers
Answer:
= 40
Step-by-step explanation:
Calculate within the parentheses:
28 - [10 + (3 + 1) * 2]
= 10
Calculate within the parentheses:
[10 + (3 + 1) * 2]
= 18
Subtract (Left to right):
= 28 - 18
Simplify:
= 4 * 10
Simpliy:
= 40
it’s a little less complicated that you think i’m not sure if this was the answer but i did it as i could remember.
In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.
Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.
Given:critical value= = 2.00
Answers
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
Step-by-step explanation:
From the question we are told that
The sample size is n = 54
The sample mean is [tex]\= x = 97.4[/tex]
The standard deviation is [tex]s = 18.0[/tex]
The population mean is [tex]\mu = 100[/tex]
The critical value is [tex]t_{critical } = 2.0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 97.4 - 100}{\frac{ 18}{\sqrt{54} } }[/tex]
=> [tex]t =-1.062[/tex]
Comparing the obtained t statistics with the critical value we see that
The critical value is not within the region of rejection (i.e -1.062 to 1.062 )
Hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
The no sufficient evidence to conclude that the average BMDI score is different from the general population
1. Emma’s average in math increased from an 80 to an 84. By what percentage did her average increase?
Answers
Answer:
82
Step-by-step explanation:
Matt and his dad are building a tree house. They buy enough flooring material to cover an area of 36 square feet. What are all possible dimensions of the floor?
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Answer:
a square
Step-by-step explanation:
because the width would be 6 and the length would be also 6 .6x6 is 36
Determine the intercepts of the graph please be sure
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Hope this helps!!
Answer:
X= (_7, 0)
Y= (0, 2
Step-by-step explanation:
We meet again
3x^2-4+5= 0 PLEASE HELP ASAP will mark brainliest
Answers
Answer:
3x^2+1
Step-by-step explanation:
you cannot add in the 3x^2 and the -4 and 5 but you can add the -4 and the 5
I hope this helps!
Step-by-step explanation:
3x to the power 2 is 9x;
New equation: 9x-4+5 = 0
9x- (4+5) = 0
9x-9=0
x=1
Explain how you would solve -5/8 divided by 2/3 and what the solution is?
Answers
Answer:
-15/16
Step-by-step explanation:
-5/8 ÷ 2/3
Copy dot flip
-5/8 * 3/2
Multiply the numerators
-5*3 = -15
Multiply the denominators
8*2 =16
Put the numerator over the denominator
-15/16
A deep sea diver descended from a rock that is 45 feet below
Answers
A deep sea diver descended from a rock that is 45 feet below sea level to a coral reef that is 88 feet below sea level.
To find : How far did the diver descend from the rock to the coral reef.
Solution : We have given
A deep sea diver descended below sea level = -45 feet .
A coral reef that is 88 feet below sea level = -88 feet.
Because we take the negative value below sea level( 0 ).
Difference = -45 - ( - 88)
Difference = -45 + 88 = 43
Diver descended 43 feet from the rock to the coral reef.
Therefore, Diver descended 43 feet from the rock to the coral reef.
If that is your question...
Which graph represent proportional relationship?
Answers
Answer:
C
Step-by-step explanation:
Non proportional graphs are non-linear and don’t go (necessarily) through 0,0
Proportional graphs are linear and always (eventually) cross through with 0,0