Answer:
a
[tex]N = 222[/tex]
b
[tex]0.36< p <0.44[/tex]
c
No we can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 555[/tex]
The percentage that enjoyed statistics is [tex]\r p = 40% = 0.40[/tex]
Generally the number of student who say they enjoyed statistics is mathematically represented as
[tex]N = 0.40 * 55[/tex]
=> [tex]N = 222[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = ( 100-95)\%[/tex]
=> [tex]\alpha = 0.05[/tex]
The critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
The margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p (1 - \r p )}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{ \frac{0.40 (1- 0.40 )}{ 555} }[/tex]
=>. [tex]E = 0.04[/tex]
The 95% confidence interval is mathematically represented as
[tex]\r p - E < p < \r p + E[/tex]
=> [tex]0.40 - 0.04 < p <0.40 + 0.04[/tex]
=> [tex]0.36< p <0.44[/tex]
No we can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%
A group of 12 male and 8 female students is talking about going out for pizza. If 50% of the male students actually go and 25% of the female students actually go, find the probability that a randomly chosen student is female, given that she is among those who go out for pizza.
Answer:
1/4
Step-by-step explanation:
12*50%=12*0.5=6 males
8*25%=8*0.25=2 females
2+6=8
2 out of 8 students are female
2/8=1/4
Can someone please help??
Answer:
let the number of cows = x
let the number of chickens = y
since there are 42 heads:
x + y = 42
and since a cow has 4 legs, and a chicken has 2
4x + 2y = 144
from first equation:
x + y = 42
x = 42 - y (now, we will substitute this in the second equation)
4(42 - y) + 2y = 144
168 - 4y + 2y = 144
2y = 168 - 144
2y = 24
y = 12
now, we know the number of chickens. we will replace y with 12 in the first equation since it is more simpler
x + 12 = 42
x = 30
So, there are 30 cows and 12 chickens
Brainly it if you find the answer helpful
Select expression that is mathematically equivalent to xy−z+ (a - b) X c. y - 2 O
a) x/y – z + (a - b)
b) Xc O x/(y – z) + (a - b)
c) Xc O x/y - 2 + a - b c O
d) x/(y – z) + a – b xc
Question:
Select expression that is mathematically equivalent to
[tex]\frac{x}{y-z} + (a-b)*c[/tex]
a) [tex]x/y - z + (a - b) * c[/tex]
b) [tex]x/(y - z) + (a - b) * c[/tex]
c) [tex]x/y - z + a - b * c[/tex]
d) [tex]x/(y - z) + a - b * c[/tex]
Answer:
[tex]x/(y - z) + (a - b) * c[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{y-z} + (a-b)*c[/tex]
Required
Determine its equivalent
Start by writing y - z in bracket;
[tex]\frac{x}{y-z} + (a-b)*c[/tex]
becomes
[tex]\frac{x}{(y-z)} + (a-b)*c[/tex]
When - is used as divide, it is equivalent to /
The given expression can then be rewritten as
[tex]x/(y - z) + (a - b) * c[/tex]
Hence;
[tex]\frac{x}{y-z} + (a-b)*c[/tex] is equivalent to [tex]x/(y - z) + (a - b) * c[/tex]
Pay for last week is 230.40. You worked 30 hours. How much were you paid
All we need to do is divide.
230.40 / 30 = $7.68
Therefore, he/she made $7.68 per hour.
Best of Luck!
If after two hours 4 Inches off snow has fallen how many inches would have fallen after 6.6 hours
What is 5 8/12 as a mixed number in its simplest form
Answer:
5 2/3
Step-by-step explanation:
Just keep simplifying 8/12 until you end up with 2/3
Find the GCF of both the numerator and denominator and you end up with 2/3
Just to make it clear 8/12 = 2/3
for evaluating functions from a graph what is f(-2)=
Tyler wants to calculate his grade in his accounting class. His test grades are a 77%, 62% 85%, 80%. What is his average in the class?
Answer:
76%Step-by-step explanation:
Given Tyler test grades to be 77%, 62% 85% and 80%, to find its average in the class, we will find the mean of his grades.
Mean is the ratio of the sum of the grades to the total number of grades given.
[tex]mean (\overline x) = \frac{\sum Xi}{N}[/tex]
Xi are the individual grades
N is the total number of grades = 4
[tex]\overline x = \dfrac{77+62+85+80}{4} \\\overline x = \frac{304}{4}\\ \overline x = 76 % \\[/tex]
Hence his average in the class is 76%
M(8,3) is the midpoint between the points A(4,5) and B. Find the coordinates of B.
Answer:
(12,-1)
Step-by-step explanation:
Let the coordinates of v to be x and y
(4+x)/2=8
4+x=16
X=12
(5+y)/2=3
5+y=2×3
5+y=6
Y=-1
B(12,-1)
A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples? A. x=320 B. x=302 C. x=203 D. x=230
Step-by-step explanation:
In order to solve this question we use ratio and proportion
From the question
3 apples were sold for $2.00
Then
10 apples will be sold for what
That's
[tex] \frac{10 \times 2}{3} \\ = \frac{20}{3} [/tex]Hope this helps you
2.16=?2, point, 1, start overline, 6, end overline, equals, question mark
Answer:
[tex]2\frac{4}{25}[/tex]
Step-by-step explanation:
The question asks:
2.16 = ???
The is a decimal number that can be converted to a mixed fraction
2.16 = 2 + 0.16
2 = whole number.
So, we are left with 0.16
We can convert this to a fraction
Since it is in 2 decimal places we Multiply by 100
=( 0.16 × 100)/ 100
= 16/100
We simplify this fraction and we have
= 4/25
Therefore,
2.16 = 2 + 0.16
2.16 = 2 + 4/25
2.16 = [tex]2\frac{4}{25}[/tex]
SI units are the modern form of the:
a- geological system of measurement
b-metric system of measurement
c-US customary system of measurement
d-imperial units of measurement
Answer:
Step-by-step explanation:
SI units are the modern form of the metric system of measurement
The SI units are metric system of measurement
What is International System of Units?The International System of Units comprises a coherent system of units of measurement starting with seven base units. The units and their physical quantities are the second for time, the meter (sometimes spelled meter) for length or distance, the kilogram for mass, the ampere for electric current, the kelvin for thermodynamic temperature, the mole for amount of substance, and the candela for luminous intensity. It is represented as SI
Given data ,
Let the units of measurements be represented as A
Now , the value of A is
Seven base units - the second (symbol s, the unit of time), the metre (m, the unit of length), the kilogramme (kg, the unit of mass), the ampere (A, the unit of electric current), the kelvin (K, the unit of thermodynamic temperature), the mole (mol, the unit of substance amount), and the candela make up the SI's coherent system of units of measurement (cd, luminous intensity)
Therefore , the SI units are metric system of measurement
Hence , the SI units are solved
To learn more about International system of units click :
https://brainly.com/question/16393390
#SPJ7
-9x - x - 7x² - 6x² + 8 +6
Help please
Answer:
[tex] \boxed{ \bold{ \huge{ { \sf{ - 13 {x}^{2} - 10x + 14}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 9x - x - 7 {x}^{2} - 6 {x}^{2} + 8 + 6}[/tex]
Collect like terms
⇒[tex] \sf{ - 7 {x}^{2} - 6 {x}^{2} - 9x - x + 8 + 6}[/tex]
⇒[tex] \sf{ - 13 {x}^{2} - 10x + 8 + 6}[/tex]
Add the numbers
⇒[tex] \sf{ - 13 {x}^{2} - 10x + 14}[/tex]
Hope I helped!
Best regards!!
PLEASE HELP
Q is in the interior of angle XYZ.
The measure of angle XYZ = 3r +2.
The measure of angle XYQ = 2r-1.
The measure of angle ZYQ = 3r-5.
True
False
r = -3
The measure of angle XYQ = 7
10
r = 4
Ray YQ bisects angle XYZ.
Answer:
r=-3 FALSE
m<XYQ=7 TRUE
r=4 TRUE
Ray YQ bisects angle XYZ TRUE
Step-by-step explanation:
2r-1+3r-5=3r+2
5r-6=3r+2
2r=8
r=4
------------------------
r=-3 FALSE
m<XYQ=7 TRUE (XYQ=2r-1=2(4)-1=8-1=7)
r=4 TRUE
Ray YQ bisects angle XYZ TRUE (ZYQ=3r-5=3(4)-5=12-5=7. Both XYQ and ZYQ=7, so ray YQ is the bisector)
I don't know what the 10 is for in your question.
The total cost after tax to repair Deborah's computer is represented by0.08(50h)+50H, where h is the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax she has to pay? Explain
Answer:
.08(50h) Because if the tax rate is 8%, then that is 1.08% of 50h.
Step-by-step explanation:
List at least three shapes, other than hexagons, In the table. If the shape is a polygon, indicate whether the shape is regular or irregular. Find the number of lines of reflection that will map each shape back on to itself when the shape flips about the line. Also describe the position of the line of reflection.
Answer:
Shape Number of Lines of Reflection Description
equilateral triangle 3 3 perpendicular bisectors of the sides
regular heptagon 7 7 perpendicular bisectors of the sides
regular octagon 8 4 perpendicular bisectors and 4 lines joining pairs of opposite vertices
Step-by-step explanation:
-7 times -8? -40 divided by 10?
Solve for "x": 3 (1 + 1) = 5 + 2
Answer:
Please where is the x in the question
Answer:
Please where is the x in the question
Ready Maid Service charges $25.00 per house, plus an additional $22.00 per hour, h. What
is the constant in this situation?
Answer:
$25 per house.
Step-by-step explanation:
h, is the variable in this sitution. Quite literally this means that # of hours is the only value that will CHANGE/be variable. Since $25 has no variable assigned with it, it will be constant.
David rolled a number cube 20 times. The cube landed on the number 3 six times. Which best describes what would likely happen if Dan rolled the number cube another 80 times?
Answer:
It is likely that the experimental probability of 3 will reach towards the theoretical probability of 3, if Dan rolled the number cube another 80 times.
Step-by-step explanation:
A number cube has 6 faces and contains the numbers from 1 to 6 on each of its faces.
And each number is equally likely to come.
i.e. Theoretical probability of each face = [tex]\frac{1}{6}[/tex]
Probability of any event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
It is given that number of times 3 occurs is 6 out of 20.
So, experimental probability of 3 = [tex]\frac{6}{20}=\frac{3}{10}[/tex]
Here, we can see that experimental probability of 3 is greater than that of theoretical probability of 3.
But the number of iterations here are smaller in number i.e. only 20.
As the number of iterations will increase, it is likely that the experimental probability of 3 will reach towards the theoretical probability of 3.
So, we can say that:
It is likely that the experimental probability of 3 will reach towards the theoretical probability of 3, if Dan rolled the number cube another 80 times.
. A system consists of three subsystems in parallel. Subsystem A has a reliability of 0.98, subsystem B has a reliability of 0.85, and subsystem C has a reliability of 0.88. Calculate the overall system reliability.
Answer:
[tex]P(System) = 0.73304[/tex]
Step-by-step explanation:
Given
Reliability of:
A = 0.98
B = 0.85
C = 0.88
Required
Determine the overall reliability
The overall system reliability is calculated by multiplying the individual reliability of each subsystems;
i.e.
[tex]P(System) = P(A) * P(B) * P(C)[/tex]
[tex]P(System) = 0.98 * 0.85 * 0.88[/tex]
[tex]P(System) = 0.73304[/tex]
Hence, the overall reliability is 0.73304
Point I lies between points W and F. WI = 7x – 3.
IF = 2x + 4. WF = 15x – 21. What is the measure of
WF?
Answer:
WF=34
Step-by-step explanation:
Point I lies between points W and F.
It means point WI + IF = WF
SO WI + IF = WF
WF = 15x – 21
WI= 7x-3
IF= 2x+4
WI + IF = WF
7x-3 +2x+4= 15x-21
7x+2x-15x= -21-4+3
-6x = -22
X= -22/6
X= 11/3
So WF = 15x – 21
WF= 15(11/3) -21
WF= 55-21
WF=34
Some populations, such as bacteria, can be expected under the right conditions to show exponential growth. If 5500 bacteria of a certain type are incubated under ideal conditions, then after t hours
we expect to find 5500 x 1.07^t bacteria present. How many bacteria would we expect to find after 14 hours? (Round your answer to the nearest whole number.)
How many after 3 days?
Answer:
608945 is the answer.
Step-by-step explanation:
Because..
After 14 hours the population of bacteria is 14190.
What is Exponential Decay?A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.
Given that Some populations, such as bacteria, can be expected under the right conditions to show exponential growth
If 5500 bacteria of a certain type are incubated under ideal conditions, then after t hours we expect to find [tex]5500(1.07)^{t}[/tex] bacteria present.
We need to find how many bacteria would we expect to find after 14 hours
To find this we have to replace t by 14
5500×(1.07)¹⁴
5500×2.58
14190
Hence, after 14 hours the population of bacteria is 14190.
To learn more on Exponential Decay click:
https://brainly.com/question/2193799
#SPJ2
3/5(4.3 – 7.8) + 2 1/9 ?
Answer:
0.01
Step-by-step explanation:
For each of the following examples, solve the given problem and write your answer in scientific notation using the proper number of significant figures. Make sure to include all units in your final answers.
The distance from the Earth to the Sun is a measure of distance called the Astronomical Unit (AU). Given: 1.000 AU = 1.496108 km:
a. convert Uranus’ distance of 19.1903 AU to kilometers (km) =
b. convert the distance to the center of the Milky Way galaxy of 2.6x1017 km to AU =
Answer:
the answer is pythagoras thorium
4. The admission fee at a small fair is $1.50 for
children and $4 for adults. On a certain day, 1,486
people enter the fair and $3,479 is collected. How
many children and how many adults attended?
a. 500 adults, 986 children
b. 986 adults, 500 children
c. 432 adults, 1004 children
d. 1004 adults, 432 children
Answer:
The answer is a
Step-by-step explanation:
500 times 4 is 2,000
986 times 1.50 is 1,479
Therefore your answer is a
¯\(°_o)/¯
Parallelogram ABCD has four congruent sides but no right angles. The diagonals of ABCD intersect at point P.
Which phrase could NOT describe a single transformation that maps parallelogram ABCD onto itself?
A. A rotation of 180 degrees about point P
B.
A rotation of 90 degrees clockwise about point P
o c.
A reflection across the line that passes through points A and C
D.
A reflection across the line that passes through points B and D
Can someone help plssss
Answer:
A
Step-by-step explanation:
A rotation of 180 degrees about point P
(1) Determine whether the relation R on the set of all integers is reflexive, symmetric, antisymmetric, and/or transitive, where (x, y) ∈ R if and only if (a) x − y = 0 (b) x = |y| (c) x + y is odd (2) Which, if any, of the relations from the previous two problems is an equivalence relation?
Answer:
Step-by-step explanation:
1)
a) x-y = 0
Reflexive :
x-x=0, where x and 0 are whole numbers is valid for all x
In this way, x-x is a number
Which infers that (x,x) ∈ R
In this way, R is reflexive
Symmetric :-
(x-y) is a whole number
Which infers - (x-y) is likewise a whole number
Which infers (y-x) is a number
In this way, (x-y) is a number infers that (y-x) is likewise a whole number
i.e If (x,y)∈R at that point (y,x)∈R
In this way, R is Symmetric.
Against Symmetric:-
(x,y)∈R
x-y=0, where x and y are whole numbers
Which infers x=y
Assume, (y,x)∈R
y-x=0, where x and y are whole numbers
Which infers y=x
Consequently, (x-y) is a whole number suggests (y-x) is additionally a whole number
for example In the event that (x,y)∈R at that point (y,x)∈R, where x=y
R is Anti-Symmetric.
Transitive:-
Given,
(x-y)∈R and (y-z)∈R - (I)
To demonstrate that,
(x,z)∈R
from (I)
x-y= 0 and y-z=0
Including both, we get
(x-y)+(y-z)=0
x-z=0
Consequently demonstrated that (x,y)∈R and (y,z)∈R infers that (x,z)∈R
Since the above connection is symmetric, reflexive advertisement transitive. Consequently, it is an identicalness connection.
b) x=|y|
Reflexive:-
x isn't reflexive.
Since for - 2
- 2 ≠|-2|, where - 2 is a whole number.
- 2≠|2|
Consequently, (x,x) isn't Reflexive.
Symmetric:-
(x,y)∈R, infers
x=|y|, where x and y are whole numbers ...(i)
Let x =-2 and y= - 2
- 2≠|-2|
- 2≠|2|
Which infers (x,y) itself doesn't have a place with R.
Consequently R isn't symmetric.
Against Symmetric:-
(x,y)∈R, suggests
x=|y|, where x and y are numbers
let x= - 2 and y =-2
- 2 ≠ |-2|
- 2≠|2|
R isn't hostile to symmetric.
Transitive:-
x=|y| and y=|z| ∈ R
let x=2, y=-2 and z= 2
infers that
2=|-2| and - 2≠|2|
for example 2=|2| and - 2∉|2|
In this way, R isn't transitive.
c) x+y is odd
Reflexive:-
x+x is even, where x is a whole number.
In this way, (x,x)∉R.
R isn't Reflexive.
Symmetric:-
(x,y)∈R
x+y is odd, where x and y are whole numbers
Additionally, (y,x) is odd
infers that y+x is additionally odd
In this way, (y,x)∈R
R is Symmetric.
Against Symmetric:-
(x,y)∈R
infers x+y is odd, where x and y are whole numbers
infers that y+x is additionally odd
In this way, (y,x)∈R
R is Anti-Symmetric.
Transitive:-
Given,
(x,y)∈R and (y,z)∈R, where x,y and z are whole numbers ...(i)
To demonstrate that
(x,z)∈ R
from (I)
x+y is odd and y+z is odd''
Including both we get
x+2y+z is odd
which infers (x,z)∉R
In this way, R isn't transitive.
2) x-y=0 is reflexive, symmetric and transitive in this way it is an equality connection.
while x=|y| and x+y is odd are not equality relations.
Data sets A and B are dependent. Find mean of the differences (d bar).
A 32 30 49 45 33
B 30 26 27 37 24
Assume the paired data came from a population that is normally distributed.
Answer:
9.0
Step-by-step explanation:
Mean = Sum of terms/Number of terms
For Data Set A
Mean = 32 + 30 + 49 + 45 + 33/5
= 189/5
= 37.8
For Data Set B
Mean = 30 + 26 + 27 + 37 + 24/5
= 144/5
= 28.8
Hence, the Mean difference is calculated as the absolute difference between the Mean of Data set A and Data set B
Mean Difference = 37.8 - 28.8
= 9.0
What is the value of x?
Answer: 12
Step-by-step explanation:
Since AC bisects ∠BAD, we know that ∠BAC and ∠CAD are equal to each other. To find x, we set them equal to each other.
9x-54=4x+6 [subtract both sides by 4x]
5x-54=6 [add both sides by 54]
5x=60 [divide both sides by 5]
x=12
Now, we know that x is 12.