Answer:
[tex]CI =6.5 \± 1.09[/tex]
Step-by-step explanation:
Given
[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]
Required
Determine the 99% t-confidence interval
First, calculate the mean
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]
[tex]\bar x =\frac{130}{20}[/tex]
[tex]\bar x =6.5[/tex]
Calculate the standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]
[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]
[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]
[tex]\sigma =\sqrt{7.15}[/tex]
[tex]\sigma =2.67[/tex]
The z score for 99% confidence interval is: 2.576
The confidence interval is calculated as:
[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]
[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]
[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]
[tex]CI =6.5 \± 1.09[/tex]
Please help me with this ASAP ASAP please
Answer:
r = 16 cm ; l = 34 cm ; LA = 544π cm^2 ; SA = 800π cm^2
Step-by-step explanation:
The volume of the cone can be find with this formula
V = (base area x height)/3
thanks to this formula we can find the base surface
base surface = (V x 3)/height
base surface = (2560π x 3)/30 = 256π cm^2
the formula of the base surface is
base surface = radius^2 x π
so we can find the radius in this way:
radius = √base surface/π
radius = √256π/π = 16 cm
slant height = [tex]\sqrt{radius^2 + height^2}[/tex]
[tex]\sqrt{16^2 + 30^2} =\sqrt{256 + 900} = \sqrt{1156} = 34[/tex] cm
lateral surface = radius x slant height x π = 16 x 34 x π = 544π cm^2
surface area = base area + lateral surface = 256π + 544π =800π cm^2
The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with Sigma = 0.200 kg. Let µ denote the true average weight reading on the scale.
Required:
a. What hypotheses should be tested?
b. With the sample mean itself as the test statistic, what is the P-value?
Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :
[tex]$H_0 : \mu = 13 $[/tex]
[tex]$H_a : \mu \neq 13$[/tex]
b). When the value of [tex]$\overline x = 12.84$[/tex]
Test statics :
[tex]$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $[/tex]
[tex]$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $[/tex]
[tex]$=\frac{1.82}{0.04}$[/tex]
= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.
Which fraction is less?
2/5 or 1/6
Answer:
1/6
Step-by-step explanation:
convert ti decimal then compare the two
Answer:
Hello There!!
Step-by-step explanation:
1/6 is less.You can check this by 2÷5=0.4 and 1÷6=0.1666666667 so 1/6 is less.
hope this helps,have a great day!!
~Pinky~
Please help me hurry
Answer:
m<P = 48°
m<Q = 132°
Step-by-step explanation:
Given:
m<S = (14x + 6)°
m<R = (5x + 3)°
Required:
m<P, m<Q
Solution:
✔️First, find the value of x
m<S + m<R = 180° (consecutive angles are supplementary)
14x + 6 + 5x + 3 = 180 (substitution)
Collect like terms
19x + 9 = 180
19x = 180 - 9
19x = 171
x = 171/19
x = 9
✔️m<P = m<R (opposite angles are congruent)
m<P = (5x + 3)° (substitution)
Plug in the value of x
m<P = 5*9 + 3
m<P = 48°
✔️m<Q = m<S (opposite angels are congruent)
m<Q = (14x + 6)°
Plug in the value of x
m<Q = 14*9 + 6
m<Q = 132°
Please Help me Due in 2 Mins
Please Help Me Fast.
FAST FAST FAST
Answer:
Easy it's 40
Step-by-step explanation:
I think it's 40 because the other numbers are all with in the range of 10-20 except 40.
Answer:
Answer is 40! :)
Select the option that best describes the relationship
between the variables on the scatter plot.
35
positive, linear association
30
25
no association
20
15
positive, non-linear association
10
5
negative, linear association
10
12
Activate Windows
Answer:
4th one its negative,linear association
Step-by-step explanation:
The option that best describes the relationship between the variables on the scatter plot is negative, linear association.
What is a negative linear association?Variables have a negative association when the line of best fit is downward sloping. Variables have a linear association when the line of best fit is a straight line. Variables have a positive association when the line of best fit is upward sloping.
To learn more about linear functions, please check: https://brainly.com/question/26434260
7. The area of a triangle is 2.1 square feet. Its base is 2 feet. What is its height
Step-by-step explanation:
area of a triangle is (bh)/2
b=base
h=height
2.1=(2h)/2
2.1=height
Hope that helps :)
Answer:
4.2
Step-by-step explanation:
Multiply 2.1 and 2 to get 4.2
marks lawn care company charges a flat fee of $15, plus $9 per half hour for every job. which equation can be used to find the amount Y that marks lawn care company would charge for a lawn job that takes X hours to complete?
A. Y=15x+18
B. Y=18x+15
C. Y=15x+9
D. Y=9x+15
Answer:
y= 18x + 15
Step-by-step explanation:
If its 9 dollars per hour than it would be 18 per hour. The independent variable is the how long itll take, and the 15 would be without starting. So it results into B) y=18x+15
Answer:
D. (Y=9x+15)
Step-by-step explanation:
This one was pretty easy to find out using common sense, it can be solved via knowing that the only variable being multiplied is 9, so find 9x+15 and there is your answer.
Solve for x. -4.5 = -0.5(x – 7.1)
Answer:
16.1
Step-by-step explanation:
Answer:
I believe the answer is x = 16.1
Step-by-step explanation:
What is the name of the relationship when a function of the form y = ab^x is
used to fit the data?
A. Correlation
B. Exponential regression
C. Linear regression
Answer:
Exponential Regression
Step-by-step explanation:
AP3X
The name of the relationship when a function of the form y = abˣ is used to fit the data is, ''Exponential regression''.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ y = abˣ
Now, We know that;
Exponential regression of the equation is of the form,
⇒ y = abˣ
Hence, The name of the relationship when a function of the form y = abˣ is used to fit the data is, ''Exponential regression''.
Option B is true.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Help. I’ll give branliest!! Due today!
Answer:
4
Step-by-step explanation:
Im pretty sure its 4
Answer:
4 is the answer to the question
Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
WILL GIVE BRAINLIEST
3:4
4:3
3:7
7:3
Daria rolls a number cube. What is the probability that it will land on a 1?
Answer:
1 out of 6 or 16.7%
Step-by-step explanation:
In Joe's fish tank, there are 7 goldfish and 12 snails. How does the ratio 12:19 describe Joe's fish tank?
Answer:
honestly this was the only thing i was ever good at in math.
its kinda fun cuz its like puzzle solving.
Answer:
The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.
Step-by-step explanation:
In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.
Please like and mark brainliest!
Hope it helps!
What does n equal?
EASY
Answer:
n=8/11
Step-by-step explanation:
Answer:
C) n=8/11
Step-by-step explanation:
3/4n=6/11
n=6/11÷3/4
invert and multiply
n=6/11x4/3
n=24/33
n=8/11
Which expression is equivalent to 14y−12?
14(y−2)
−14(y−12)
14(y−12)
−14(y−2)
Answer:
The answer is 1/4 (y-2)
Step-by-step explanation:
I got the answer correct on my test!
Find the surface area of the cylinder. Round your answer to the nearest tenth.
IF YOU ANSWER THE QUESTION CORRECTLY I WILL GIVE YOU BRAINIEST.
Answer:
188.5ft²
Step-by-step explanation:
Surface area of cylinder = 2πrh+2πr²
=2π3*7+2π3²
=42π+18π
=60π=188.495559215≈188.5ft²
Write the product in its simplest form 5c7 x 5c8
Answer:
25c²56
Step-by-step explanation:
The relative growth rate for a certain type of bacteria population is 78% per hour. A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture. What is the initial number of bacteria in the culture? us this formula to solve it and show all work A(t) = Pe^(rt).
Step-by-step explanation:
A(t)=P(e^(rt))
Insert the values as follows:
The equation for "continual" growth (or decay) is A = Pe^(rt), where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).
34820=P(e^((.78)(5)))
34830=P(49.4024)
704.82335
Hope that helps :)
one boy s c o r e d 80% out of a total of 500 marks how many marks did that boy is scored
The boy scored:
500 x 80% = 400 (marks)
What’s the correct answer for this question?
Answer: Fourth Choice. -2
Step-by-step explanation:
Given
( -9 | 6 + ( -10 ) | ) / 2 · 3²
Expand (-10) parenthesis
= ( -9 | 6 - 10 | ) / 2 · 3²
Expand (-9|6-10|) parenthesis
= ( -9 | -4 | ) / 2 · 3²
= ( -36 ) / 2 · 3²
Simplify the denominator and get answer
= -36 / 2 · 9
= -36 / 18
= -2
Hope this helps!! :)
Please let me know if you have any questions
What is the measure of x?
A. 8
B. 9
C. 10
D. 11
Answer:
A
Step-by-step explanation:
5) If the property tax on a $100,000 home is $1500, what is the tax on a
$ 120,000 home?
Answer:
Calculate property taxes based on assessed value and a tax rate. California property tax calculations with annual assessment increases up to 2% ... Tax Rate: The annual tax rate used to compute your property taxes.
Subtract 8 1/6- 4 5/6 . Simplify the answer and write as a mixed number
Answer: 3 1/3
Step-by-step explanation: You change 8 1/6 to improper fraction which is 49/6 and change 4 5/6 to improper fraction which is 29/6. Next you take 49/6 and subtract 29/6 which is 20/6.After that you simplify 20/6 by divide both sides by 2 which gives you 10/3.Lastly change 10/3 to a mixed number which is 3 1/3.
Hope it helps :) and look at pic below.
The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?
Answer:
4 pounds
Step-by-step explanation:
A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
coordinates to select samples from two regions.
Suppose they examine a sample of 70 rocks from region A, which is composed of 15% igneous rock. Then they
examine a sample of 60 rocks from region B, which is composed of 20% igneous rock. Then they look at the
difference between the sample proportions (PA - B).
What are the mean and standard deviation of the sampling distribution of pA - PB?
pls help i give you brainliest
BEEN ASKING FIR AN HOUR: A rectangle's length is 3 feet shorter than 4 times the width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.
Answer:
Step-by-step explanation:
w is the width of the rectangle, then the length would be 4w - 3.
A = lw
A = w(4w -3)
A =4w² - 3w
Hope this helped!!!
Salaries for teachers in a particular elementary school district are normally distributed with a mean of $49,000 and a standard deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$
(b) Find the 90th percentile for the average teacher's salary.
Answer:
they get a lot of moohlah
Step-by-step explanation: