Answer:
The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames.
This means that [tex]p = \frac{124}{500} = 0.248[/tex]
The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to
By the Central Limit Theorem, it is equal to the sample proportion of 0.248.
When a number is decreased by 40% of itself the result is 96. What is the number?
Answer:
160
Step-by-step explanation:
96 / (100%-40%) = 96/ (60%)
= 96/0.6 = 160
Q) 96/(100% - 40%)
→ 96/ 60%
→ 96/ 0.6
→ 160 is the number.
Select the correct answer.
The body of a person who weighs 50 kilograms contains around 2 × 102 grams of sodium chloride. How much sodium chloride is contained in the bodies of 1.8 × 103 people who each weigh 50 kilograms? Represent the answer in scientific notation.
A.
3.6 × 105 grams
B.
1.1 × 101 grams
C.
36 × 105 grams
D.
11 × 101 grams
Answer:
3.6 x 10⁵ g of sodium chloride
Step-by-step explanation:
Answer:
3.6 x 10⁵ g
Step-by-step explanation:
which of these tables represents a function
Answer: choice D
Step-by-step explanation:
In order for something to be a function for every x input there must be exactly 1 y output. This means that if x is a number then y must always be 1 number and that 1 number only.
Why do you think using computer software to do forecasting calculations is almost necessary if you are changing the number of time periods for a moving average or the alpha value for an exponential smoothing calculation
Answer:
There are two major methods of forecasting
One is the Causal method and the 2nd one is the times series method
Causal method mainly tries to find out cause and effect relation between variable and various factors impacting that variable while the time series method infuences the utilization of the historical data and mainly focus to forecast based on the trend present. It simply ignores the other variables. It just tries to give an idea of a trend, it can't predict the impact of other variables as in causal method.
Linear regression analysis can be utilized in both sort of estimating technique. By linear regression analysis we can anticipate effect of different factor on factor variable. It anticipate the pattern, yet additionally gives an idea about connection among variable and different elements affecting it. That is the reason Linear regression is considered as best technique for forecasting.
Presently, going to the next part of this inquiry, Time period utilized in moving normal is settled based on fluctuation showing up in how much period, to smoothen out the variation. Also, Alpha value is chosen dependent on the time span to smoothen out the variation in the information. Changing of time-frame or distinctive alpha will make estimation complex. And furthermore, it will make computation more probabilistic as opposed to deterministic which may create mistake whenever done by manual calculation. That is the reason program are important in such sort of computation
Find the value of x and the value of y.
Answer:
[tex]x=7,\\y=4\sqrt{2}[/tex]
Step-by-step explanation:
Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.
The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:
[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]
The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:
[tex]x=4+3=\boxed{7}[/tex]
I can't find the surface area lol
n=3.14
Answer:
216 square feet
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
2 (lw + hl + hw)
w= width
h= height
l= length
Use the formula with the given dimensions:
2 (6 • 2 + 12 • 6 + 12 • 2)
= 2 (12 + 72 + 24)
= 2 (108)
= 216
Surface area is measured in square feet
(feet in this case)
Hope this helps
what is the degree of the polynomial x² - 5x + 2
Answer
2
Step-by-step explanation:
x^2-5x+2,
the greatest exponent seen in the polynomial is two (x squared), so the degree of this polynomial is 2 because of the number two x^2 -5x+2
Help me please I don't have much time
Which drink has more sugar per fluid ounce? 50 POINTS
Find the amount of interest for a 19-year investment of $4500 at a simple annual rate
of 2.73%
Answer:
A = $7,554.84
A = P + I where
P (principal) = $4,500.00
I (interest) = $3,054.84First, convert R as a percent to r as a decimal
r = R/100
r = 2.73/100
r = 0.0273 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,500.00(1 + 0.0273/12)(12)(19)
A = 4,500.00(1 + 0.002275)(228)
A = $7,554.84
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $4,500.00 at a rate of 2.73% per year compounded 12 times per year over 19 years is $7,554.84.
Step-by-step explanation:
Xavier drew 10 cards at random from a deck of numbered cards. The deck is composed of 3 sets of cards numbered 1 through 10 and three cards numbered 50. He recorded the numbers he drew: find the mean, meadian and mode of the data.
Answer:
Mean - 9 mode - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 50 median- 6
Step-by-step explanation:
What does factoring a polynomial involve?
Answer:
ANSWER BELOW↓
Step-by-step explanation:
Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication. We have seen several examples of factoring already. However, for this article, you should be especially familiar with taking common factors using the distributive property.
In circle Q, the mLKM is 255º. Find the measurement of
Hope this help!!!
Have a nice day!!!
Find the distance between the pair of points: (6,−3) and (1,0
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\sqrt{34}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{\underline{The distance formula is:}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer....}}\\\\d = \sqrt{(1-6)^2+(0-(-3))^2}\\--------------\\\rightarrow d = \sqrt{(-5)^2+(3)^2}\\\\\rightarrow d = \sqrt{(25+9)}\\\\\rightarrow d =\boxed{ \sqrt{34} }[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The subjects of an experiment should be selected at random so that they
represent the population from which they come.
O
A. True
O
B. False
Answer: True
Step-by-step explanation:
The subjects of an experiment should be selected at random so that they
represent the population is true.
Once the sample size has been decided, a sample should be taken from the sample size which will represent the population. This gives everyone an equal chance of being selected as there's no bias.
if you had to report on the salaries for different occupations, do you think it would be better to report the mean or the median value
6 Factorise
x2 + 6x -7
Answer:
(x+7)(x-1)
Step-by-step explanation:
x^2 + 6x -7
so here we need two number that give 7 when multiplied and 6 when subtracted
7 and 1 are the numbers because
7*1=7 and ,
7-1=6 so,
x^2 + (7-1)x -7
x^2 +7x -x -7
take common from first two terms and from third and fourth term
x(x+7)-1(x+7)
take (x+7) as common
(x+7)(x*1 -1*1)
(x+7)(x-1)
it took thandile 30minutes to fly the distance of 192,4kilometers between pilanesburg nationalpark an johannesburg.calculate the average speed of the aircraft in kilometres per hour
Answer:
Average speed = 3848 km / h
Step-by-step explanation:
Given:
It took Thandile 30 minutes to fly the distance of 1924 km between Pilanesburg National Park and Johannesburg.
To find:
Calculate the average speed.
Solution:
Average speed = distance / time
30 min = 0.5 h => 1924 / 0.5
= 3848 km / hours
Answer:
Average speed = 3848 km / h
hope this helps.....
Use logarithmic differentiation to differentiate the question below
[tex]y = x \sqrt[3]{1 + {x}^{2} } [/tex]
Answer:
[tex] \orange{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]
Step-by-step explanation:
[tex]y = x \sqrt[3]{1 + {x}^{2} } \\ assuming \: log \: both \: sides \\log y = log(x \sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + log(\sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + \frac{1}{3} log({1 + {x}^{2} } ) \\ differentiating \: both \: sides \: w.r.t.x \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{1}{3} . \frac{1}{(1 + {x}^{2}) } (0 + 2x) \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{2x}{3(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3(1 + {x}^{2}) + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 3{x}^{2} + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 5{x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{dy}{dx} =\frac{y(3 + 5{x}^{2} )}{3x(1 + {x}^{2}) } \\ \\ \frac{dy}{dx} =\frac{x \sqrt[3]{1 + {x}^{2} } (3 + 5{x}^{2} )}{3x(1 + {x}^{2}) }\\ \\ \frac{dy}{dx} =\frac{(3 + 5{x}^{2} )\sqrt[3]{1 + {x}^{2} } }{3(1 + {x}^{2}) }\\ \\ \purple{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]
2 times the sum of a number and 9 equals 4
Answer
Step-by-step explanation:
What's 1/24 + 4/8 simplified?
Answer:
13/24
Step-by-step explanation:
1/24 + 4/8
first make denominator equal
1/24 + 4*3/8*3
1/24 + 12/24 = 13/24
then check if it can be further simplified
13/24
It cannot so you're done!
Hope this helps!
Answer:
13/24
Step-by-step explanation:
reduce the frcation with 4
1/24 + 1/2
write all numerators above the least common denominator 24
1+12/24
Calcuate 1+12/ 24
which = 13/24
determine the value of a in the figure shown
Answer:
d
Step-by-step explanation:
180-149= 31.
31+ 122= 153
180-153= 27
a= 27
Which function is an even function?
f is an even function if f(-x) = f(x)
f is an odd function, if f(-x) = -f(x)
[tex] \csc( \frac{ - 3\pi \: x}{2} ) = - \csc( \frac{3\pi x}{2} ) [/tex]
Option B is an odd function
please answer both thank
Answer:
the second one for #4 and the third one for #5
Step-by-step explanation:
4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or
y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).
5.
Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.
Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.
If apple pie is "a" and lemon is "l":
6a + 4l = 80
6a + 5l = 94,
so C is the answer
what is the most $ that you can get out of a ATM?
Answer:
$200
Step-by-step explanation:
Answer:
I think it is 200$
Step-by-step explanation:
Work out the value of 8³
Answer:
512
Step-by-step explanation:
How to factorise? 5x+10
Answer:
5(x+2)
Step-by-step explanation:
each term, 5x and 10, have only the number 5 in common
factor out the 5 to get:
5(x+2)
The total body surface area, or BSA, of a human is difficult to calculate. There are various models that estimate BSA based on a person's weight and height. One simpler model is BSA= wh 3600
where w = weight in kg and h = height in cm.
a. Using this model, estimate the height of a person who weighs 75 kg and whose BSA is 1.9.
Round your answer to the nearest cm.
h = _______ cm
b. Using this model, estimate the weight of a person who is 166 cm tall and whose BSA is 2.2.
Round your answer to the nearest kg.
w= _________kg
Answer:
173 cm
105 kg
Step-by-step explanation:
Given :
BSA= √wh /3600
where w = weight in kg and h = height in cm.
A.)
w = 75 kg ; BSA = 1.9 ; h =?
BSA= √wh /3600
1.9 = √75h /3600
Take the square of both sides
1.9² = 75h /3600
1.9² * 3600 = 75h
12996 = 75h
h = 12996 / 75
h = 173.28 cm
h = 173 cm
B.)
h = 166 ; BSA = 2.2
BSA= √wh /3600
2.2 = √w166 /3600
Take the square of both sides
2.2² = 166w /3600
2.2² * 3600 = 166w
17424 = 166w
w = 17424 / 166
w = 104.96 kg
w = 105 kg
Using the model given, we have that:
a) h = 173 cm.
b) w = 105 kg.
The BSA, for a person of weight w and height h, is given by:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
Item a:
[tex]BSA = 1.9, w = 75[/tex], hence:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
[tex]1.9 = \sqrt{\frac{75h}{3600}}[/tex]
[tex]\left(\sqrt{\frac{75h}{3600}}\right)^2 = 1.9^2[/tex]
[tex]\frac{75h}{3600} = 3.61[/tex]
[tex]h = \frac{3600(3.61)}{75}[/tex]
[tex]h = 173[/tex]
Hence:
h = 173 cm.
Item b:
[tex]BSA = 2.2, h = 166[/tex], hence:
[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]
[tex]2.2 = \sqrt{\frac{166w}{3600}}[/tex]
[tex]\left(\sqrt{\frac{166w}{3600}}\right)^2 = 2.2^2[/tex]
[tex]\frac{166w}{3600} = 4.84[/tex]
[tex]w = \frac{3600(4.84)}{166}[/tex]
[tex]w = 105[/tex]
Hence:
w = 105 kg.
A similar problem, in which there is also an application of a formula, is given at https://brainly.com/question/24348510
PLEASE HELP ME FAST I WILL GIVE BRAINLYEST
7.)
cbrt(1200)
10.63
8.)
sqrt(112)
10.58
Answer:
1.) because 10^3=1000 and 11^3 = around 1330 we know that the answer must fall between 10 and 11. Because they're pretty much equal distance I would estimate it to be around 10.5 (if you need an exact answer it's 2∛150)
2.) because 11^2=121 and 10^2= 100 we know that it must fall between 10 and 11. Because these are pretty much equal distance as well I would estimate it to be around 10.5 as well (if you need an exact answer it's 4√7)
Step-by-step explanation:
please help! (listing BRAINLIST and giving points) :D
Answer:
40°
Step-by-step explanation:
because angle In an isosceles triangle base angles are same and angle in a triangle add up to 180° and angle on a straight line add up to 180°
hope this helps:)
