Answer:
There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Step-by-step explanation:
The parameters of the music streaming service are;
The average number of households using Apple Music, [tex]\overline {X}_1[/tex] = 1.73 million
The standard deviation, σ₁² = 0.46 million
The average number of households using Spotify, [tex]\overline {X}_2[/tex] = 2.17 million
The standard deviation, σ₂² = 0.33 million
The significance level = 0.01
Hypothesis testing with different population standard deviation
[tex]Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }[/tex]
H₀: [tex]\overline {X}_1[/tex] ≠ [tex]\overline {X}_2[/tex]
H₁: [tex]\overline {X}_1[/tex] = [tex]\overline {X}_2[/tex]
[tex]Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923[/tex]
p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714
Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis
We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1
Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.
Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,
The equation of the circle =
(x - 3)² + (y - 7)² = 2
The standard equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Comparing both we get,
(h, k) = (3, 7)
r² = 2
r = √2
Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
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Working together, two copy machines can finish a copy job in 3 minutes. The slower copier can finish the job in 12 minutes. How many minutes would it take for just the faster copier to finish the job?
Answer:
4 minutes, because in 3 minutes, the slower copier has done 1/4 of the job (at a 12 minute pace ). That means that during the same 3 minutes, the faster copier did 3/4 of the job.
So the faster copier is on pace to complete the entire job in 4 minutes (3 X 4/3).
Step-by-step explanation:
help asap i will get yelled at =( this is going to give yoyu 42 points
Answer:
24+24=48
Step-by-step
24+24=48
Answer: first pic: true. second pic: is D. third pic: false. forth pic: C.
Step-by-step explanation:
Consider a savings account earning annual compound interest with no additional deposits or withdrawals made after the initial deposit. The balance in the account after x years can be modeled by the function s(x) = 2.000(1.045) Which statement is the best interpretation of one of the values in this function? A) The initial balance of the account is $2,000. B) The balance in the account at the end of one year is $2,000. The initial balance of the account increases at a rate of 104.5% each year. D) The initial balance of the account decreases at a rate of 4 5% each year.
Answer:
The initial balance of the account is $2,000.
Step-by-step explanation:
I took the test on usa test prep
Answer:The initial balance of the account is $2,000.
f(x) = abx, where a = initial value, b = change factor, and x = time period.
what is the following sum
Answer:
2nd option is the correct answer
[tex] 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]
Step-by-step explanation:
[tex]3 {b}^{2} \bigg( \sqrt[3]{54a} \bigg) + 3 \bigg( \sqrt[3]{2a {b}^{6} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{27 \times 2a} \bigg) + 3 \bigg( \sqrt[3]{2a {( {b}^{2} )}^{3} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{ {3}^{3} \times 2a} \bigg) + 3 \bigg({\sqrt[3]{{( {b}^{2} )}^{3}2a} } \bigg) \\ \\ = 3 {b}^{2} \times 3 \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 9 {b}^{2} \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]
Answer:
second option: 12b²(∛2a)
Step-by-step explanation:
you can break [tex]\sqrt[3]{54a}[/tex] into [tex]\sqrt[3]{3^3(2a)}[/tex] which equals 3[tex]\sqrt[3]{2a}[/tex]
you can break [tex]\sqrt[3]{2ab^6}[/tex] into [tex]\sqrt[3]{2ab^3b^3}[/tex] which equals b²[tex]\sqrt[3]{2a}[/tex]
now we can simplify: (3b² · 3[tex]\sqrt[3]{2a}[/tex]) + 3b²[tex]\sqrt[3]{2a}[/tex] = 9b²[tex]\sqrt[3]{2a}[/tex] + 3b²[tex]\sqrt[3]{2a}[/tex]
this equals 12b²[tex]\sqrt[3]{2a}[/tex]
6=2(y+2)
I. Don’t get it
Answer:
1
Step-by-step explanation:
6=2*y+4
6-4=2*y
2=2*y
y=2/2
y=1
C = ?
when d = 25 m.
(C = circumference)
(d = diameter)
Answer:
12.5m
Step-by-step explanation:
I don't wanna type it lmco (laughing my cheeks off)
What is the area enclosed by the curves???
655,325 to the nearest hundred thousands
Answer:
700,000
Step-by-step explanation:
55,325 is closer to 100,000 than it is to 0, so the hundred-thousands place would round up.
Answer:
655,325
Step-by-step explanation:
Im pretty sure it would just stay the same because 3 is not enough to bring the 5 up to 6.
question plz helpppppppppp
Answer:
the answer is 38.25
Step-by-step explanation:
45-15%
=38.35
Answer:
$6.75
Step-by-step explanation:
To solve any percent problem, u can use the equation part %
------- = ---
whole 100
(the lines are fraction bars btw, when u right out the problem, write it as fractions)
In this problem, the whole is 45, because that is the original, or whole price. The % is 15, because u want to find 15%. The part would be x, because that's what u want to find. Cross multiply, so ur problem should look like this:
100x = 675.
Then, divide 675 by 100 to get x = 6.75.
So Natalie saves $6.75.
hope this helps!
The slope of a linear function is 1/5. For every rise of 5 units, what is the run?
Answer:
for every rise of 1 the run would be 25
The probability of getting a red gumball from a gumball machine is 1/8. The probability of getting a red piece of candy from a candy machine is 1/6. If both a gumball and a piece of candy are purchased, what is the probability that both are red?
Answer: 1/48
Step-by-step explanation: equation: 1/8x1/6
you have to multiply both numerators together (1x1)=1 then you multiply the denominators together (8x6)=48. you can't simplify it so your answer is 1/48
Help plz....................
Answer with explanation:
y+1 = 26 ; y = 26-1 = 25
x-2 = 19 ; x = 19+ 2 = 21
I hope im roght!!
Could someone help me with this
Answer:
try to do this formula
XYZ
= X times Y times Z
Find the factors of following:
(i) 8x^2 yy
Answer:
i•8xy^2yz
Step-by-step explanation:
Remove unnecessary parentheses
Answer:
i) 8x^2 yz=2×2×2×x×x×y×z
A piece of land in north county is a parallelogram with a base that is four more meters than eight times the height, h. Which of the
following represents the area of the land?
A. A(n) = 8h2 + 32
B.
A(h) = 8h2 + 4
C. A(h) = 4h2 + 8h
D.
A(n) = 8h2 + 4h
Answer:
D
Step-by-step explanation:
what is the slope of (4,7) (9,7)?! please help i tried omni and it didn't give me an answer
Answer:
0
Step-by-step explanation:
Help pls!! I need help!!
Answer:
what u need help wt?
Step-by-step explanation:
The arrow shown is on a sign. What is the area of the arrow? Plz
Answer:
61 inches squared
Step-by-step explanation:
find the area of the rectangle then the area of the triangle and add.
Answer:
61 in²
Step-by-step explanation:
first u work out the rectangle. so u do 4 times 10 which is 40 . then u do 1.5 plus 1.5 plus 4 which equals 7 . then u do 7 times 6 which is 42 . 42 two divide by 2 = 21 . 21 plus 40 equals 61. answer 61.
area of triangle: base times height divide by 2 .
to work out area of rectangle : 4×10=40 in²
1.5+1.5+4= 7 in
area of triangle: 7×6=42 then divide by 2 = 21 in²
plus them to get the area of arrow : 21+40=61 in²
hope this helps. give brainliest and like this . rate it and follow me . amd I will follow u back and help u more
1.5x= 3 help me I don't know what this means
Answer:
x = 2
Step-by-step explanation:
simple
just divide 3 by 1.5 to get x
3 / 1.5 = 2
so
x = 2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radius of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
The radius of the circle is 8 inches when the sector of a circle has an area of 104pi/9 square inches.
What is a sector of a circle?A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
Which is the radius of a circle?Radius of a circle is the distance from the center of the circle to any point on it's circumference.
Area of a sector = [tex]\frac{\theta}{360} \pi r^2[/tex]
[tex]\text{Given area = }\frac{104\times \pi}{9}=\frac{65}{360}\times \pi r^2\\\\\frac{104}{9}=\frac{65}{360} \times r^2\\\\r^2=\frac{37440}{585}\\\\r=8.001[/tex]
Hence, option b is correct, that is the radius of the circle is 8 inches.
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Let y = x² In(x).
dy/dx the lesson is differentiate products
Answer:
dy/dx = x(1+2lnx)
Step-by-step explanation:
Given y = x² In(x).
dy/dx = Udv/dx + Vdu/dx
Let U = x², V = lnx
du/dx = 2x
dv/dx = 1/x
Substitute into the formula;
dy/dx = x²(1/x) + lnx(2x)
dy/dx = x + 2xlnx
dy/dx = x(1+2lnx)
The table shows the average distance in yards of the tee shots of several professional golfers and their accuracy as percentages of landing golf ball in the fairway. what does the correlation coefficient for the data indicate about the strength of the linear association between the average distance of a tee shots in the accuracy of the golf ball landing in the fairway ?
Answer: strong negative correlation
Step-by-step explanation:
Taking the test
Sylvester spends a total of $1725 for Common and preferred shares. He has purchased $975 worth of preferred.
Answer:
750
Step-by-step explanation:
24j - 9 Factor the following expression using GCF
Answer:
See it and do it
Follow please
What is the value of x in the figure above? Assume ↔B and ↔C are parallel.
Answer:
x=4
Step-by-step explanation:
180-58=26x+18
122=26x+18
122-18=26x
104=26x
4=x
please help me with this math wuestion
Answer:
A) 3 1/4
Step-by-step explanation:
x+1/2 = 3 3/4
x = 3 3/4 - 2/4 = 3 1/4
The measure of the interior angles of four refusal
Answer:
B) 180(n-2)
Step-by-step explanation:
B) 180(n-2)
5 tons of compost cost $6,300.00. What is the price per pound?
Answer:
300 , is the answer
Step-by-step explanation:
Treven puts 8 gallons of gas in his car air pays $22.00 what is the cost of 1 gallon of gas complete the table
Answer:
the cost of each gallons is 8÷22.00=$36