Answer:
$13.4 is the answer
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Cereal. A dietician obtains the amounts of sugar (incentigrams) from 100 centigrams (or 1 gram) in each of 10 differentcereals, including Cheerios, Corn Flakes, Fruit Loops, and 7others. These values are listed below. Is thestandard deviation of those values likely to be a good estimate ofthe standard deviation of the amounts of sugar in each gram ofcereal consumbed by the population of all Americans who eatcereal? Why or why not?
3, 24, 30, 47, 43, 7, 47, 13, 44, 39
Find the range, variance, standard deviation
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean = [tex]\frac{3+24+30+47+43+7+47+13+44+39}{10}[/tex] = 297/10 = 29.7
variance = [tex]\frac{sum xi^2 }{N} - mean^2 }[/tex]
= 289.56
SD = [tex]\sqrt{variance}[/tex] = 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.
Write the function as a sum of partial fractions. Do not determine the numerical values of the coefficients.(a) x/x^2+xâ2(b) 6âx/x^2â3xâ54
The correct equations in the question are:
(a) [tex]\dfrac{x}{x^2+x-2}[/tex] (b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]
Answer:
Step-by-step explanation:
From above:
a) [tex]\dfrac{x}{x^2+x-2}[/tex]
We are to find the roots of the quadratic equation at the denominator.
i.e.
x²+x-2 = x² + 2x - x - 2
= x(x+2) - 1(x+2)
= (x -1 ) (x + 2)
Thus;
[tex]\mathbf{\dfrac{x}{x^2+x-2} = \dfrac{A}{x-1} + \dfrac{B}{x+2}}[/tex]
b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]
The quadratic equation roots can be calculated by finding two numbers that if we multiply then, we will get -54 and if we add or subtract them, we will get -3
x²-3x -54 = x² - 9x +6x - 54
= x(x-9) + 6(x-9)
= (x + 6) (x - 9)
[tex]\mathbf{\dfrac{6-x}{x^2-3x-54} = \dfrac{A}{x+6} + \dfrac{B}{x-9}}[/tex]
The factors of a number are given below: 2, 4, 5, 8, 10, 16, 20, 40. What is the number?
Answer:
the answer would be 80 because it is divisible with all the numbers shown above
Find the midpoint of the segment with the following endpoints.
(9, 1) and (5, -7)
Answer:
7;-3
Step-by-step explanation:
9+5/2 ; 1+(-7)/2
14/2 ; -6/2
7 ; -3
I will mark Brainliest What is the length of AB
A statistician predicts that the probability of a race car driver winning their next race is 9/10. What are the odds against them winning?
Answer:
90%
Step-by-step explanation:
We know that
9/10
is the same as
9÷10
Then using
Long Division for 9 divided by 10
gives us
0.9
Converting our number to a percentage:
0.9×100
=90%
(Note this isnt rounded up.)
Simplify 6/4.
Thank tou
Answer:
2 1/2
Step-by-step explanation:
6/4=3/2=1 1/2
Answer:
6/4= 3/2
so you now divide 2 by the 3 which will give you;
1.5
What sample size is required if you want to estimate p with an 99.5% confidence level and an error of no more than 0.08?
Answer:
0.5
Step-by-step explanation:
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
(a) compute the z-score corresponding to the individual who obtained 37.8 miles per gallon. interpret this result.
(b) determine the quartiles.
(c) compute and interpret the interquartile range, iqr.
(d) determine the lower and upper fences. are there anyoutliers?
31.5 36.0 37.8 38.5 40.1 42.2
34.2 36.2 38.1 38.7 40.6 42.5
34.7 37.3 38.2 39.5 41.4 43.4
35.6 37.6 38.4 39.6 41.7 49.3
the z-score corresponding to the individual is
and indicates that the data value is
standard deviation(s) the
the table is for the entire problem.
Answer:
A.) - 0.2992
B.) Q1 = 36.75
Q2 = 38.45
Q3 = 41
C.) IQR = 4.25
D.) LOWER FENCE = 30.375
UPPER FENCE = 47.375
Yes, 49.3
Step-by-step explanation:
Given the data:
Arranged data in ascending order :
31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3
Using calculator to save computation time :
Population mean (μ) = 38.88
Standard deviation (s) = 3.61
A.) The zscore for individual who obtained 37.8 miles per gallon :
Standardized score formula :
Z = (Score(x) - mean) / standard deviation
Z = (37.8 - 38.88) / 3.61
Z = - 1.08 / 3.61
Z = - 0.29916
Z = - 0.2992
B) The quartile ;
Lower quartile (Q1) :
1/4(n +1)th term
n = sample size = 24
1/4(24 + 1)
= 1/4(25) = 6.25th term
(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75
Upper quartile (Q3) :
3/4(24 +1) = 3/4(25) = 18.75th term
(18th + 19th) = (40.6 + 41.4) = 82/2 = 41
Median (Q2) :
1/2(24 +1) = 1/2(25) = 12.50th term
(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45
C.) interquartile range :
Q3 - Q1 = (41 - 36.75) = 4.25
D.) OUTLIER
LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375
UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375
Name two points on a line that has a
slope of a 5/8
24,10 and 16,5 have slope of a 5/8.
what is 3 divided by 57.6
Answer:
0.0520833333 is the answer
Answer:
0.05208333333 (reoccurring)
Step-by-step explanation:
Simple bus stop division (:
The following two-way table shows the responses from a group of people, categorized by age-group, when asked about their favorite types of vacations.
Which of the following statements is not supported by the table?
1.)More people chose relaxation than any other vacation type.
2.)Each vacation type was selected by the same number of people in the under-21 age-group.
3.)In the 21 to 35 age-group, nature was chosen by the least number of people.
4.)Of all the vacation types, nature was chosen by the least number of people.
5.)The percentage of people that chose relaxation was equal for each age-group.
Answer:
The percentage of people that chose relaxation was equal for each age-group.
Step-by-step explanation:
Answer:
5 or E- The percentage of people that chose relaxation was equal for each age group
Step-by-step explanation:
You can use the process of elimination where every other answer choice is correct except for the last one. Otherwise, the percentages for each group of age group are all different as shown on the margins, which is why it is incorrect. Therefore, that is the correct answer for this problem.
Out of a group of 100 people surveyed,
63 have a car,
27 have a bike,
12 have a skateboard,
20 have a car and a bike,
8 have a car and a skateboard,
9 have a bike and a skateboard, and
5 have a car, a bike, and a skateboard.
How many people in the survey do not own a car, a bike, or a skateboard?
A. 27
B. 28
C. 29
D. 30
E. 32
Answer: D. 30
Step-by-step explanation:
Given that:
63 have a car,
27 have a bike,
12 have a skateboard,
20 have a car and a bike,
8 have a car and a skateboard,
9 have a bike and a skateboard, and
5 have a car, a bike, and a skateboard.
Car and bike only :(20 - 5) = 15
Car and skateboard only = (8 - 5) = 3
Car only = 63 - (15 + 3 + 5) = 40
Bike and skateboard only = (9 - 5) = 4
Bike only = 27 - (15 + 5 + 4) = 3
Skateboard only = 12 - (3 + 5 + 4) = 0
Number of people in the survey do not own a car, a bike, or a skateboard: = x
(40+0+3+15+3+5+4+x) = 100
70 + x = 100
x = 100 - 70
x = 30
What is the slope of the linear function that
models the data in the table?
Answer:1.2
Step-by-step explanation:divide 198 by 165
Answer:
slope - 1.2
--------edge
What is the point- slope equation of the line through the point (-5, 5) that is perpendicular to the line whose equation is y= (5/3)x + 2? URGENT
Write the phrase as an expression. Then evaluate when x = 3 and y = 15
Twice the sum of a number x and 8
Please I need this answer ASAP
Answer:
Put x then y u get x+y=15*2
find the measure of all the missing angles.
Answer:
a = 68deg b = 112deg c = 68deg
Step-by-step explanation:
angle opposite 112deg is 112deg (vertically opp angels)
since the 2 angles are same, a = 180deg - 112deg = 68deg (angles on a straight line are supplementary)
b = 112 deg (vertically opp angles)
c = a (vertically opp angles)
HELP EMERGENCY!!!! (2.5 x 10-10) (7 x 10-5)
Express your answer in scientific notation.
Answer:
[tex]1.75[/tex] × [tex]10^{-15}[/tex]
I hope this helps!
The factors of two numbers are given below: Number 1: 1, 3, 5, 7, 15, 21, 35, 105. Number 2: 1, 3, 7, 21, 49, 147. What is the greatest common factor of the numbers
Answer:
21
Step-by-step explanation:
they both have 21
What is the answer to 1/3x(15+6)?
Answer:
1/3×21
=7
Step-by-step explanation:
first step: solve the barket part
second step: Solve division or multiplication which first..Follow Rule:BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction.
Find the value of x.
930
45°
X=
help please
Answer:
45 Degrees
Step-by-step explanation:
Compare to its other side
A researcher wishes to estimate within $5 the average repair cost of for a refrigerator. If she wishes to be 90% confident, how large of a sample would be necessary if the population standard deviation is $15.50?
Answer:
The sample size 'n' = 26
Step-by-step explanation:
Explanation:-
Given a researcher wishes to estimate within $5 the average repair cost of for a refrigerator
Given estimate "E" = $5
The estimate within the average is determined by
[tex]E = \frac{Z_{0.10}S.D }{\sqrt{n} }[/tex]
Level of significance ∝ = 90 % or 10%
= 0.90 or o.10
Z₀.₁₀ = 1.645
[tex]E = \frac{Z_{0.10}S.D }{\sqrt{n} }[/tex]
[tex]5 = \frac{1.645 X15.50 }{\sqrt{n} }[/tex]
√n = [tex]\frac{25.49}{5} = 5.099[/tex]
Squaring on both sides , we get
n = 26
Conclusion:-
The sample size 'n' = 26
3.4+(-7)-(-0.2)
PLZ HELP
Answer:
-3.8
Step-by-step explanation:
I used my calculator.
Answer:
-3.8
Step-by-step explanation:
Jack wants to attend a private 4-year university that costs $32,500 a year for tuition. His parents said they will give him $15,000 each year towards tuition. If he saves his money over the next four years before college, how much money will he have to save each year?
A $1,750
B $17,500
C $175
D $4375
Answer:
b
Step-by-step explanation:
Rewrite the function by completing the square.
h(x) = 4x2 + 4x + 1
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[tex]h(x) = 4 {x}^{2} + 4x + 1 [/tex]
[tex]h(x) = ({2x + 1})^{2} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Emily simplified this expression. Expression: (5−2)2+23×4 Step 1: (3)2+23×4 Step 2: 9+23×4 Step 3: 9+9×4 Step 4: 9+36 Step 5: 45 Emily made a mistake. Which step shows her first mistake? Step 1 Step 2 Step 3 Step 4
Answer:
Step 2 shows Emily's first mistake.
Step-by-step explanation:
3(2) = 6
But instead of this Emily wrote 3(2) = 9.
Manny must choose between a pack of four 6.5-ounce containers of yogurt for $3.61 or three 8-ounce containers at $1.27 each. Which is the better buy? Complete the explanation. If necessary, round to the nearest cent.
Answer: Three-8 ounce containers
Step-by-step explanation: 3 x 1.29 divided by 0.6= $6.45 for three 8-ounce containers
4 x 3.77 divided by 0.6= $15.08
Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 10 minutes?
Answer:
6,000 ft
Step-by-step explanation:
3,000 x 2 = 6,000
6,000 feet
Step-by-step explanation:
in 5 minutes she jogs 3,000 feet
in 10 minutes she jogs 6,000 feet
10/2= 5 minutes or 5 minutes ×2 =10 minutes
3,000×2 = 6,000 feets
It’s math can you help with number 3 please?
Answer:
25
Step-by-step explanation:
16+9
Answer:
The correct should be 25.
Step-by-step explanation:
If this is incorrect let me know and I will correct it.
Hiiii I really need helppppp pls pls
Step-by-step explanation:
sas
side angle side
mark me as brainliest