Complete question :
The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
Answer:
(−0.0085 ; 0.0481)
Step-by-step explanation:
Given that :
n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%
Zα/2 = 1.96 ( Z table)
Confidence interval : (p1 - p2) ± E
E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]
p1 = x1 /n1 =181/1205 = 0.1502
q1 = 1 - p1 = 1 -0.1502 = 0.8498
p2 = x2/n2 = 143/1097 = 0.1304
q2 = 1 - p2 = 1 -0.1304 = 0.8696
E = 1.96 * √(0.0001059 + 0.0001033)
E = 0.0283
p1 - p2 = 0.1502 - 0.1304 = 0.0198
Lower boundary = 0.0198 - 0.0283 = −0.0085
Upper boundary = 0.0198 + 0.0283 = 0.0481
(−0.0085 ; 0.0481)
The percentage of students in the school that attended the talent show for the years 2008 to 2013 are shown
2008: 86%
2009: 89%
2010: 93%
2011: 85%
2012: 92%
2013: 95%
This year, the school has a total of 360 students. How many students will attend the talent show this year (in %)
The school has a total of 360 students. The number of students that would attend this year is 357.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
The percentage of students in the school that attended the talent show for the years 2008 to 2013 is shown
2008: 86%
2009: 89%
2010: 93%
2011: 85%
2012: 92%
2013: 95%
Number of students that would attend this year
= percentage of students that attended in 2013 x total number of students
[tex]= \frac{94}{100} \times 380\\= 357.2[/tex]
Thus, 357 to the nearest whole number.
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calculate the value (1+√2)^4 - (1-√2)^4 without using table
[tex](1 + \sqrt{2^{4} }) = 5[/tex]
[tex](1 - \sqrt{2^{4} } ) = - 3[/tex]5--3=8
Solve for x, then
find the
measurement of
the tangents.
Here, as the tangents are given above in variable length with radius of the circle as r = 4.4 cm, we get as
since the sides opposite to the equal angles are always equal we get as,
x-2 = 2x-10
===> -2 +10 = 2x-x
==> 8 = x
hence the measurement of the Tangents is,
putting x = 8
2(8)-10 ==> 16-10 ==> 6 cm
length of each tangent is 6 cm.
Answer:
8
Step-by-step explanation:
2x - 10 = x - 2
2x - x = - 2 + 10
x = 8
(+5) × (+4) = 5 × 4 =
Answer:
20
Step-by-step explanation:
....................
This recipe makes 6 portions of chocolate mousse.
Cali has 600 g chocolate, 36 eggs, 100 mL of lemon juice and 200 g of sugar.
Cali makes 12 portions of mousse by following this recipe.
How much of each ingredient will she have left?
Recipe: Serves 6
180 g chocolate
9 eggs
15 mL lemon juice
60 g sugar
Answer:
240 g chocolate
18 eggs
70 mL lemon juice
80 g sugar
Step-by-step explanation:
600 g choc - (2 x 180) = 240 g left
36 eggs - (2 x 9) = 18 left
100 mL lemon - (2 x 15) = 70 mL left
200 g sugar - (2 x 60) = 80 g left
Answer:
Ingredients will have left
Chocolate
600 - 2*180 = 240 gEggs
36 - 2*9 = 18Lemon juice
100 - 2*15 = 70 mlSugar
200 - 2*60 = 80 g(MATH) (6) ((PHOTO))
label is m
Multiply the length by the height:
6.5 x 2 = 13
The width is the volume divided by 13
Width = 52/13 = 4 m
How much does the average bag of candy weigh in ounces
Answer:
the weight of a bag of candy varies 3.2 ounces from the mean of 4 ounces.
hope this helps
have a good day :)
Step-by-step explanation:
How many ways can a dozen books be placed on four distinguishable shelves if no two books are the same, and the positions of the books on the shelves matter (ie. if Book 1 is to the left of Book 2, that is different from if Book 1 is to the right of Book 2)
Answer:
217945728000 ways
Step-by-step explanation:
Given
[tex]Books = 12[/tex] --- 1 dozen
[tex]Shelf = 4[/tex]
The given condition implies that;
[tex]Book\ 1 = 4[/tex] ---- any of the 4 shelves
[tex]Book\ 2 = 5[/tex] --- any of the 4 shelves and either ways of book 1
[tex]Book\ 3 = 6[/tex] --- any of the 4 shelves and either ways of book 1 and 2
-----------------------
----------------
----------
[tex]Book\ 12 = 15[/tex]So, the number of ways is:
[tex]Ways = 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15[/tex]
[tex]Ways = 217945728000[/tex]
WHO WAS IN PARIS ??????????????????????
Answer:
I don't think I'm allowed to say that word. But it is also a discriminatory phrase used by people in the slave days.
But it's a song by Kayne
________ in Paris
Step-by-step explanation:
Answer:
guys were in Paris
Step-by-step explanation:
The figure consists of parallel lines and transversal. Find the value of x and y.
Will give BRAINLIEST!!!!
Answer:
x = 28 y = 122
Step-by-step explanation:
Transversal Lines would be 112 and 4x
112 / 4 = 28
x = 28
y and 122 are alternate interior angles
so y = 122
hope this helps ^^
2) Assinale a alternativa correta: *
1 ponto
Imagem sem legenda
a) 8
b) 12
c) 14
d) 16
Answer:
Step-by-step explanation:
¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.
The times that a cashier spends processing individual customers' orders are independent random variables with mean 4.5 minutes and standard deviation 4 minutes. Find the number of customers n such that the probability that the orders of all n customers can be processed in less than 2 hours, is approximately 0.1. (Round your answer to the nearest integer.)
Answer:
n is approximately 29 customers
Step-by-step explanation:
The given parameters are;
The mean duration of an order, μ = 4.5 minutes
The standard deviation, σ = 4
2 hours = 120 minutes
We get;
The z-score when the probability, P = 0.1 is P(z < 0.53983)
We have;
[tex]z = \dfrac{\dfrac{ \sum X_i}{n} - \mu_{\overline x}}{\dfrac{\sigma}{\sqrt{n} } }[/tex]
Therefore, we get;
[tex]z = \dfrac{\dfrac{120}{n} - 4.5}{\dfrac{4}{\sqrt{n} } } = 0.53983[/tex]
[tex]\dfrac{4}{\sqrt{n} } \times 0.53983 = \dfrac{120}{{n} } -4.5[/tex]
With the aid of a graphing calculator, we get;
81·n²-4320·n + 57600 - 18.6506514278·n = 0
Factorizing gives;
(n - 24.3011921023)·(n - 29.2623961869)·81124141329 = 0
Therefore;
n ≈ 24 or n ≈ 29
Therefore, we take the largest number, n ≈ 29, to make the sample approximately normal
How much salt is needed to fill a pit (rectangular) that is 8 m deep and 16 m wide and 4 m long? Show work
Answer:
512
16 · 4 = 64
64 · 8 = 512
the cultural revolution ended up by early 1970s.in which three ways did it cause devastation in China
Answer:
Ancient cultural artifacts and historical buildings were destroyed.
What is a decimal that is equivalent to the fraction 44/100
Answer:
0.44
Step-by-step explanation:
44/100 as a decimal is 0.44.
Hope this helped!!!
The decimal equivalent to the fraction 44/100 is 0.44.
We have,
To find a decimal equivalent to the fraction 44/100, we can simply divide the numerator (44) by the denominator (100):
44 ÷ 100 = 0.44
The concept used to find the decimal equivalent of a fraction is division.
By dividing the numerator by the denominator, we obtain the decimal representation of the fraction.
Therefore,
The decimal equivalent to the fraction 44/100 is 0.44.
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my lil sis needs help asap
Answer:
Um... I'm guessing $14? Sorry If I'm wrong....
Step-by-step explanation:
Best of luck!
Have a nice day <3
( Srry I double checked and its acually 14)
Answer:
$14
Step-by-step explanation:
So Paul started off with twenty dollars. After he paid for his hat, he had only six dollars left. If you subtract 20 minus 6 you would get 14. Therefore he paid fourteen dollars for the hat.
A cylindrical storage tank has a depth of 5 ft and a radius measuring 3 ft. The tank needs to be painted. If 1 pint of paint covers 50 ft2 and you can only purchase full pints of paint, how many pints must be purchased to paint the exterior of the storage tank? (Use your calculator value of . Round your answer up to the nearest whole number.)
Answer:
4 pints
Step-by-step explanation:
Well to figure this one out we need the surface area of the cylinder
The formula is : SA=2πrh+2πr^2
Don't worry about memorizing most of these formula's except the basic ones for Surface area and Volume in a test the formula's will be given but I do recommend practicing them
Any way lets keep going
Depth of 5ft basically means 5ft in height (to let you know)
2*pi*3*5+2*pi*3^2
SA=150.796447372 ft^2 rounded is basically 151
any way we know one pint paints 50 ft^2
so 151/50 is 3 remainder 1 so you will need 4 pints except you will barley use 1 pint
I’ll give points + brainalist please help!!
Step-by-step explanation:
x+6+90+3x-4=180 - - > x=22
So, the angle is 22+6=28°
Abdallah earns AED 30 for each car he washes. He also gives his little brother AED 20 form his weekly earnings. This week, he wants to have at least / minimum AED500 in spending money. Which inequality represents the number of cars that he must wash?Single choice.
A.30 x + 20 > 500
B.-30x+20 <500
C.30x -20 ≥ 500
D.20x +30≥500
Answer:
Step-by-step explanation:
Find the value of x in the triangle shown below
a.x=28
b.x=56
c.x=28
d.x=20
Answer:
D.
Step-by-step explanation:
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]
by using Pythagoras law:
h²=p²+b²
x²=16²+12²
x=√400
x=20 units.
which sentence can represent the inequality box+ 204?
O The sum of half of a number and three-fourths is at least five and one quarter,
Half the sum of a number and three-fourths is not more than five and one quarter,
The sum of half of a number and three-fourths is at most five and one quarter,
Half the sum of a number and three-fourths is not less than five and one quarter
Answer:
first one
Step-by-step explanation:
is at least
de una bolsa donde hay veinte bolas numeradas del 1 al 20 extraemos una, A: obtener un número par , B: obtener número primo, C: obtener un número tal que su suma de cifras sea 5,
a) comprobar que cumplan con las propiedades asociativa y distributiva en los sucesos, b) comprobar que se cumplan con las propiedades de las leyes de morgan entre los sucesos AyC , ByC, AyB , c) efectúa las siguientes operaciones en los sucesos unión entre AB, BC, AB, intersección entre AB,BC, AB, diferenciación entre AB, BA, CA, AC,
I NEED HELP CLICK HERE PLEASE
Answer:
it is the one above the last one
Step-by-step explanation:
i hope it helps
Answer:
x-5
Step-by-step explanation:
when x=(a number) then you -5 you find 5 less then a number therefore x-5 is the anwser
There are only five possible shapes for a die, if the die is to be considered fair. A fair die means each face has the same shape and the same possibility of appearing on every roll. The five possible shapes are
Tetrahedron: Cube: Octahedron: Dodecahedron: Icosahedron:
If you had five dice, each die being one of the five shapes above with each side containing a number, how many combinations are possible if you were to roll the five dice at the same time? (3 points)
4 faces, each face is an equilateral triangle 6 faces, each face is a square 8 faces, each face is an equilateral triangle 12 faces, each face is a regular pentagon 20 faces, each face is an equilateral triangle
Answer:
46080Step-by-step explanation:
Number of possible combinations:
4*6*8*12*20 = 46080Answer:
Solution given:
Number of possible combinations:
4×6×8×12×20 = 46080 faces
Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.3 unitsmL. Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 unitsmL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal plac
Answer:
The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 3.3 units/mL
This means that [tex]\mu = 3.3[/tex]
Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 units/mL.
This means that when [tex]X = 5.9[/tex], Z has a pvalue of 0.98. So Z when X = 5.9, has a pvalue if 0.98, that is, Z = 2.054. We use this to find [tex]\sigma[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{5.9 - 3.3}{\sigma}[/tex]
[tex]2.054\sigma = 2.6[/tex]
[tex]\sigma = \frac{2.6}{2.054}[/tex]
[tex]\sigma = 1.2658[/tex]
The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.
It takes 24 hours to drive from town A to town B. At an average speed of 31 mph, how far is it?
Answer:
744 miles
Step-by-step explanation:
each hour is 31 miles
the drive is 24 hours
31*24=744
Answer:
744 miles
Step-by-step explanation:
What is the value of x?
Answer:
91.5
Step-by-step explanation:
I did the math. Add up all the numbers and then, divide the result by two to get 91.5
What is the graph of the following parametric equation? x = sqrt(t) and y = 2t - 3
(pls include a graph answer!)
Answer:
Th final equation is [tex]Y = 2X^2 -3[/tex]
The graph is attached
Step-by-step explanation:
Given
[tex]X = \sqrt{t} \\t = X^2[/tex] --- Eq (1)
and [tex]Y = 2t -3[/tex] --- Eq (2)
Substituting the value of "t" from Eq (1) into Eq (2), we get -
[tex]Y = 2X^2 -3[/tex]
The graph for the equation is attached here with
The Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
We have parametric functions:
x = √t ⇒ x² = t
y = 2t—3
Plug t = x² in the other equation, we get:
y = 2x² - 3
The graph will be a parabola.
Thus, the Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.
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Find the volume of a pyramid with a square base, where the perimeter of the base is 16.1 ft and the height of the pyramid is 12.1 ft. Round your answer to the nearest tenth of a cubic foot?
Answer: V= 65.3 ft^3
Find the length of a picture frame whose width is 3 inches and whose proportions
are the same as a 9-inch wide by 12-inch long picture frame.
o 6 inches
O 36 inches
o 4 inches
o 21 inches
the length of the frame is 21 inches.