Answer:
The margin of error is of $3.3124.
Step-by-step explanation:
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of the variances.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
Store's Card:
Sample of 64, mean of 140, standard deviation of 10, sample of 64, standard error of [tex]s = \frac{10}{\sqrt{64}} = 1.25[/tex]
Major Credit Card:
Sample of 39, mean of 125, Standard deviation of 8, Sample of 49, standard error of [tex]s = \frac{8}{\sqrt{49}} = 1.14[/tex]
Subtraction:
Mean: 140 - 125 = 15
Standard deviation:
[tex]\sigma = \sqrt{1.25^2+1.14^2} = 1.69[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = zs[/tex]
Then
[tex]M = 1.96*1.69 = 3.3124[/tex]
The margin of error is of $3.3124.
What is the volume of the following figure? (Round your answer to the
nearest tenth and leave it in terms of pi.)
Width= 18 m length=10 m
A 180mm
B. 3240mm
C. 810 m
D. 8171 m
eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number
Answer:
The number is 4
Step-by-step explanation:
Let the number = 'x'
Reciprocal of 'x' = 1/x
Reciprocal of 2 = 1/2
8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]
[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]
Now multiply both sides by x
[tex]8*\frac{1}{x}*x = 2*x\\\\8 = 2x[/tex]
Now divide both sides by 2
[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]
x = 4
Which expressions represent 1 less than the product of 3 and 4? Check all that are true. 2) 0 (3 X 4) - 1 O 3 X 4 - 1 3 x (4 - 1) -) 0 1 - (3 X 4) 0 1 - 3 X 4
Answer:
(3 x 4) - 1 and 3 x 4 - 1
Step-by-step explanation:
Hope this helps!
A person invested $5,500 in an account growing at a rate allowing the money to double every 14 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $6,800?
Answer:
t=4.3
Step-by-step explanation:
y=a(2)^{\frac{t}{d}}
y=a(2)
d
t
y=6800\hspace{40px}a=5500\hspace{40px}d=14
y=6800a=5500d=14
d is the doubling time
\text{Plug in:}
Plug in:
6800=
6800=
\,\,5500(2)^{\frac{t}{14}}
5500(2)
14
t
\text{Solve for }t\text{:}
Solve for t:
\frac{6800}{5500}=
5500
6800
=
\,\,\frac{5500(2)^{\frac{t}{14}}}{5500}
5500
5500(2)
14
t
Divide by 5500
1.23636364=
1.23636364=
\,\,2^{\frac{t}{14}}
2
14
t
\log(1.23636364)=
log(1.23636364)=
\,\,\log\left(2^{\color{green}{\frac{t}{14}}}\right)
log(2
14
t
)
Take the log of both sides
\log(1.23636364)=
log(1.23636364)=
\,\,\color{green}{\frac{t}{14}}\log(2)
14
t
log(2)
Bring exponent to the front
\frac{\log(1.23636364)}{\log(2)}=
log(2)
log(1.23636364)
=
\,\,\frac{t}{14}
14
t
Divide by log(2)
0.30610313=
0.30610313=
\,\,\frac{t}{14}
14
t
Divide in calculator
14(0.30610313)=
14(0.30610313)=
Multiply by 14
4.285443788=
4.285443788=
\,\,t
t
One third is equivalent to what number over 12?
Answer:
4/12
Step-by-step explanation:
1/3=x/12
using the butterfly method you see that
12=3x
and when solved you get
x=4
giving you
4/12
Also multiply 1/3 by 4 on each side
One third is equivalent to 4 over 12.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Let the unknown number be x.
Here, 1/3 = x/12
Multiply both the numerator and denominator of 1/3 by 4, we get
4/12
So, 4/12 = x/12
x=12
Therefore, the unknown number is 12.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ3
Find the areas of the figures below. Show all work on for each problem.
Answer:
310 in²
Step-by-step explanation:
Area of the figure = area of the larger rectangle + area of the medium rectangle + area of smaller rectangle
✔️Area of the larger rectangle = L*W
L = 20 in
W = 7 in
Area = 20*7 = 140 in²
✔️Area of the medium rectangle = L*W
L = 20 - 2 = 18 in
W = 22 - (10 + 7) = 5 in
Area = 18*5 = 90 in²
✔️Area of the smaller rectangle = L*W
L = 8 in
W = 10 in
Area = 8*10 = 80 in²
✅Area of the figure = 140 + 90 + 80 = 310 in²
Help me pls thanks so much
Answer:
494.73 ft
Step-by-step explanation:
wait im confused it says the assignment has been submitted not editable
help will give brainliest need help ASAP
Answer:
LQ: 7.5
UQ: 21
Step-by-step explanation:
After identifying the median, remove it and split the data into two halves.
The upper quartile is the median is the top set of data and the lower quartile is the median is the bottom set of data.
If you have two numbers in the middle, you add them and divide by two to find the median/ quartile
so
[tex]\frac{7+8}{2} =7.5[/tex]
[tex]\frac{21+21}{2} =21[/tex]
question is included in the picture
Answer:
Step-by-step explanation:
d is the right answer
Answer:
tis d hope this helped have a great day
Step-by-step explanation:
What is the slope of the line that passes through the points (6, 2) and (4, 10)?
-4
-1/4
1/4
4
Answer:
A. -4 (should have negative sign.)Step-by-step explanation:
Slope formula:
[tex]\sf \dfrac{Y_2-Y_1}{X_2-X_1}[/tex]
y2=10
y1=2
x2=4
x1=6
Solve.
[tex]\dfrac{10-2}{4-6}[/tex]
10-2=8
4-6=(-2)
Divide.
8÷(-2)=-4
So, the correct answer is -4.
your answer would be -4. I hope this helped
THE QUESTION IS IN THE PHOTO. HELP
Answer:
The constant is 3
Step-by-step explanation:
To the answer, you divide y/x.
15/5 = 3
9/3 = 3
6/2 = 3
1.5/ 0.5 = 3
A triangle with a base of 16 inch has an area of 104 inch quad what is the height of the triangle
the hight of the triangle is 13 inches
Question 4 of 10 Which expression is equivalent to (b^m)^m? A. b^n-m B. b^n+m C. b^n•m D. b^n/m
Answer:
C
Step-by-step explanation:
help, easy math. will mark brainlist!!
Answer:
It is the first one 1/3(p+45).
Answer:
choice 1) 1/3(p + 45)
Step-by-step explanation:
1/3p + 15 = 1/3(p + 45)
What is the solution to this equation?
8x - 5(x - 3) = 18
A. x = 7
B. x = 5
C. x = 11
D. x = 1
SUBMIT
Answer:
D
Step-by-step explanation:
Help urgent!! I’ll give branliest
Answer:
8.81
Step-by-step explanation:
Answer:
18.01 tak myśle
Answer 5750$
Given below are lease terms at the local dealership. What is the total cash
due at signing?
.
.
Terms:
Length of lease = 24 months
MSRP of the car = $36,600
Purchase value of the car after lease = $30,200
Down payment = $4800
Monthly payment = $525
$445 security deposit
$505 acquisition fee
A. $6275
B. $5750
C. $5770
D. $5830
Answer:
$6275
Step-by-step explanation:
The cash due at signing should include :
The down-payment ; The monthly payment for that particular month ; Acquisition fee and Security deposit.
Down payment = $4800
Monthly payment = $525
Security deposit = $445
Acquisition fee = $505
Total :
$(4800 + 525 + 445 + 505)
= $6275
Answer:
6750
Step-by-step breast inspection:
I need help with math asap
um where’s the question?
Identify the equation that correctly shows the given relationship.
In AFGH, FG – HF and mZF = 56°. Find m_H.
Answer:
m<H = 62°
Step-by-step explanation:
If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.
Given that m<F = 56°, therefore:
56° + 2(m<H) = 180° (sum of triangle)
2(m<H) = 180° - 56°
2(m<H) = 124°
m<H = 124/2
m<H = 62°
find the next term in the sequence. please type the number only as you answer. hint first figure out if the sequence is arithmetic or geometric
-3,9,-27,81,
Answer:
geometric
Step-by-step explanation: each number multiply by -3
mark me brainiest:)
What is the length of FG?
(Picture of Question Below!)
A. 1.2
B. 3
C. 3.6
D. 4
E. 6
Answer:
answer i d
Step-by-step explanation:
Answer:
D.4
Step-by-step explanation:
I say D becuase if you megure it, (It's all in inches) it would be 4.
NEED HELP (+50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROFILE
Sow work and round to the nearest tenth.
Using Pythagorean theorem
[tex]\\ \qquad\quad\sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H^2=2^2+3^2[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H^2=4+9[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H^2=13[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H=\sqrt{13}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto H=3.2[/tex]
Find the area of the regular polygon. Round to the nearest tenth.
Answer:
i dint know sorry
Step-by-step explanation:
The cost of 4 pounds of potatoes is $3.56. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of potatoes, x? A $0.89 A $0.89 B $1.12 B $1.12 C $8.90 C $8.90 D $1.02
Answer:
A. $0.89
Step-by-step explanation:
To find the constant of proportionality, find the cost of one pound of potatoes
3.56/4
= 0.89
So, the constant of proportionality is $0.89
The correct answer is A. $0.89
PLS HELP ME I NEED HELP ITS DUE RN
Answer:
Step-by-step explanation:
It's 4
The area of a triangle is 18. The base is 6 inches. What is the height?
Answer:
the hight of your triangle is six inches
Kevin wants to hike the Pacific Crest Trail, which is 2,653 miles long. If Kevin wants to
finish the hike in 7 months, how many miles should he hike each month?
miles
Answer:
378
Step-by-step explanation:
2,653 divided by 7
Help! I don’t know how to work with slopes
Asma was asked to compare the following two numbers.
A = 6.212 x 108 and B = 4.73 x 10
She says,
“6.212 is bigger than 4.73 so A is bigger than B."
Is Asma correct?
You must give a reason for your answer
Answer:
No
Step-by-step explanation:
6.212 x 10^8 = 621,200,000
4.73 x 10^9 = 4,730,000,000