The 90% confidence interval is between R96.94 and R105.06
The confidence (C) = 90% = 0.9, Mean (μ) = 101, standard deviation (σ) = 39, sample size (n) = 250
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 corresponds with the z score of 0.45 (0.5 - 0.05) which is equal to 1.645
The margin of error (E) is given by:
[tex]E=Z_\frac{\alpha }{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.645 *\frac{39}{\sqrt{250} } =4.06[/tex]
The confidence interval = μ ± E = 101 ± 4.06 = (96.94, 105.06)
Therefore the 90% confidence interval is between R96.94 and R105.06
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{[(30−60)÷(−30)]2−15}÷(−7) help, please
The value of the numerical expression {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7) will be 2.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7)
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.
⇒ {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7)
⇒ {[(−30) ÷ (−30)]² − 15} ÷ (−7)
⇒ {[1]² − 15} ÷ (−7)
⇒ {1 − 15} ÷ (−7)
⇒ (−14) ÷ (−7)
⇒ 2
The value of the numerical expression {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7) will be 2.
More about the value of the expression link is given below.
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Evaluate the expression.
Step-by-step explanation:
[tex]{ \huge{ \{}}{ \rm{ [(30 - 60) \div ( - 30)] {}^{2} - 15{ \huge{ \}}} \div ( - 7) }} \\ \\ \dashrightarrow \: { \huge{ \{}}{ \rm{[( - 30) \div ( - 30)] {}^{2}{ \huge{ \}}} \div ( - 7) }} \\ \\ \dashrightarrow \: { \huge{ \{}}{ \rm{[1] {}^{2} { \huge{ \}}} \div ( - 7)}} \\ \\ \dashrightarrow \: { \rm{1 \div ( - 7)}} \\ \\ { \boxed{ \boxed{ \rm{ \: - \frac{1}{7} \: \: }}}}[/tex]
please mark this answer as brainlist
Will mark as brainlist answer fast
A noun that is referred to by a pronoun is called a(n)
Noun
Antecedent
Adjective
Pronoun
Answer:
Pronoun
A pronoun is a word used to stand for a noun
Answer:
I believe the answer is antecedent
Step-by-step explanation:
hope this helps bro
An online school with 125 classes has a student enrollment of 2,500 students. Which rate represents the relationship between the student enrollment and the number of classes? 12 classes per student 20 classes per student 20 students per class 30 students per class
Answer 20 classes per student
Step-by-step explanation:
please i need help asap
Answer:
yeah f(x) = 2
Step-by-step explanation:
because there is no x and f(x) is on positive 2
find the average rate of change of f(x)=5x^2-3 from 3 to 9
9514 1404 393
Answer:
60
Step-by-step explanation:
The average rate of change on the interval is ...
(f(9) -f(3))/(9 -3) = ((5·9² -3) -(5·3² -3))/(9 -3) = (402 -42)/6 = 60
5y x 6y= you can get 40 points
Answer:
5y × 6y = 30y^2
Step-by-step explanation:
All you're doing is multiplying the coefficients 5 and 6, to get 30, and any variable multiplied by another variable will give you that variable, squared.
Friendly fun fact: When you give points, we are only earning half of that. (Just thought you'd like to know.)
Hope this helped :)
A
,
B
and
C
form a triangle where
∠
B
A
C
=
90
∘
.
A
B
=
12.1
mm and
B
C
=
19.7
mm.
Find the length of
A
C
, giving your answer rounded to 1 decimal place.
Answer:
15.5 mmStep-by-step explanation:
Given:
ΔABC with ∠BAC = 90°, AB = 12.1 mm, BC = 19.7 mmSince BC is opposite to right angle, AC is the missing leg.
Find AC using Pythagorean:
[tex]AC = \sqrt{BC^2-AB^2} =\sqrt{19.7^2-12.1^2} =\sqrt{241.68} =15.5 mm[/tex]which relation is the function?
Answer:
A is function.
Step-by-step explanation:
This is worth 30 points I need help ASAP PLEASE PLEASE HELP!!
Answer:
c
Step-by-step explanation:
smart boi
Step-by-step explanation:
A = (3, 6)
B = (6, 9)
C = (9, 3)
first scaled down (dilated) by the factor of 1/3 in the direction of the origin = point (0, 0).
then moved left by 2 units and down by 3 units.
the dilation about the origin simply multiplies each coordinate by the scale factor.
Ad = (3×1/3, 6×1/3) = (1, 2)
Bd = (6×1/3, 9×1/3) = (2, 3)
Cd = (9×1/3, 3×1/3) = (3, 1)
to move 2 units to the left means to subtract 2 from the x coordinates.
to move 3 units down means to subtract 3 from the y coordinates.
A' = (1-2, 2-3) = (-1, -1)
B' = (2-2, 3-3) = (0, 0)
C' = (3-2, 1-3) = (1, -2)
therefore, B is the right answer option.
Kelly tried to solve the following equation,
Answer:
wich question??????????????
cual
no te entiendo me puedes explicar
round 0.25 to the nearest hundredth
Answer:
0.25
Step-by-step explanation:
there is no hundredth in 0.25
Rounding 0.25 to the nearest hundredth gives us 0.26.
We must look at the digit in the thousandth place, which is the following decimal place after the hundredth place, in order to round 0.25 to the closest hundredth.
We round up the digit in the hundredth place by adding 1 since the digit in the thousandth place is 5, which is equal to or larger than 5.
Thus, 0.26 is obtained by rounding 0.25 to the next tenth.
0.25 (initial number) worked
(Number in the thousandth place) (Number in the hundredth position)
We round up the digit in the hundredth place since the digit in the thousandth place is 5, which is 5.
Hence rounding to the nearest hundredth, 0.25 equals 0.26.
Learn more about rounding figures click;
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why does -4i*i=4? what happens to the i when you multiply it
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
As we know that :
[tex] {i}^{2} = i \times i = - 1[/tex]so, over here
[tex] - 4i \times i[/tex][tex] - 4 {i}^{2} [/tex]plugging the value of i² as -1
[tex] - 4 (- 1)[/tex][tex]4[/tex]2/3 times 21 in simplest form
Answer: 14
Step-by-step explanation:
you would write 2/3 X 21/1 and you would multiply 21 X 2 which is 42 divide that by 3 and you get 14
Abigail is trying to rent a boat while on vacation. She has two options to choose from.
Bruce's Boats: $22.50 per hour plus a one time fee of $85
Peter's Pontoons: $65.00 per hour
After how many hours, will Bruce's Boats, and Peter's Pontoons charge the same amount?
A.130
B.2
C.3
D.85
ANSWER QUICK
Step-by-step explanation:
D bruce's boats: $22.50
Problem #7: If a die is rolled one time, find the probability of getting a 5 or an even number.
2. Read "Lisa's Garden" and answer the question.
Lisa needs to determine the perimeter of her garden so she will know
how much fence she will need to build. What is the perimeter of Lisa's
garden in feet (ft)?
A
30 ft
B
38 ft
C.
120 ft
D
608 ft
solve
anglessssssssssssssssssssssssssssssssssssssssssssss
Answer:
x = 12
Step-by-step explanation:
dan wants to pout 90.94 grams of salt into a container. so far, he has poured 39.2 grams. how much more salt should dan pour ?
Answer: its 51.74
Step-by-step explanation: I just did it
Rational algebraic expression
x²-16/x²+8x+16
(x - 4)/(x + 4)
Step-by-step explanation:
[tex]\begin{aligned}\tt\frac{x^2-16}{x^2+8x+16}&=\tt\frac{x^2-4^2}{\left(x+4\right)^2}\\&=\tt\frac{\left(x+4\right)\left(x-4\right)}{\left(x+4\right)^2}\\&=\tt\frac{x-4}{x+4}\end{aligned}[/tex]
Note :
a² - b² = (a + b)(a - b)(a + b)² = a² + 2ab + b²Mr. Adkins teaches a Current Events course and is known for making his final exam very thorough. He thinks that with the technology present today,
his students should be able to stay current with all possible news. The only way to ensure yourself a good grade is to dedicate many hours reading
newspapers, watching 24 hour news outlets, and scanning the internet, and even that may not give you the desired test score. Adkins' students
kept track of the hours that they studied the week previous to the test. Here is a breakdown of the hours that they studied and the score they
received on the test.
Answer:
Part 1:
Make a scatterplot that represents this data. You may use a program such as Excel, or make the scatterplot by hand and scan it.
Part 2:
Does this data have a positive correlation, negative correlation, or no correlation?
Part 3:
Without the use of technology, find the equation of the line of best fit for the data. Tell which points that you used and show the steps you used to get the equation. Refer to the first 4 steps on page 2 of the lesson titled "Linear Regression - Line of Best Fit" to use as a guide.
Part 4:
Use the equation found in part 3 to predict the scores for two people who studied for 15 hours and 9 hours. Refer to the last step on page 2 of the lesson titled "Linear Regression - Line of Best Fit" to use as a guide.
Compile the results from parts 1 through 4 and put them in a Word document. Submit the document to your teacher.
Step-by-step explanation: help
help pls. with explanation
Answer:
the answer is infinity....
Simplify the expression g(x) = (x + 2)(x-4)
You’re recording inventory after a big weekend sale in the travel section of a department store. There are 20 remaining suitcases, of which 16 will be further marked down. True or False: The fraction 2016
20
16
is in the simplest form.
Answer:
false
Step-by-step explanation:
Given that the remaining suitcases is 20
And 16 of the remainig suitcases will be further marked down, then the simplest form will be;
16/20.
Solve using the square root method X2=25
Answer:
Square root =
remember :
[tex]\boxed {x^2 = \pm a}[/tex]
x² = ± a
x = ña
.
x = ñ25
x = ±5
• x = 5 and -5
please help me :DDDDDDDD
Answer:
x+5 > 4
Step-by-step explanation:
x+5 > 4 can be changed to
-5 . -5
x>-1
that is what is shown
Please help this is due in ten minutes
Answer: Late 200 tho
Step-by-step explanation:
Can someone help……….
A retail store owner buys 300 cups from a manufacturer. The retail store owner pays a flat delivery fee of $50 in addition to $2 for each cup delivered. If a cup is scratched upon delivery, the manufacturer provides a refund of $1 per scratched cup. If the store owner pays the manufacturer $584 for the 300 cups, how many scratched cups are there?
Answer:
284 scratched cups
Step-by-step explanation:
it's in the picture
7
Compare the fractions
3
64
8
A)
<
B)
C)
Answer:
74/8
Step-by-step explanation:
Answer:
LCM of 64 and 8 is 64
Step-by-step explanation: