Answer:
The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.
Step-by-step explanation:
A website would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes.
At the null hypothesis, we test if the mean is of 8 minutes, that is:
[tex]H_0: \mu = 8[/tex]
At the alternate hypothesis, we test if the mean is of more than 8 minutes, that is:
[tex]H_a: \mu > 8[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
8 is tested at the null hypothesis:
This means that [tex]\mu = 8[/tex]
A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes.
This means that [tex]n = 37, X = 8.7, \sigma = 2.5[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{8.7 - 8}{\frac{2.5}{\sqrt{37}}}[/tex]
[tex]z = 1.70[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 8.7, which is 1 subtracted by the p-value of z = 1.7.
Looking at the z-table, z = 1.7 has a p-value of 0.9554
1 - 0.9554 = 0.0446
The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.
NEED The FULL equation. Will give Brainly. Thank you!
Answer:
[tex] \displaystyle \sf h( - 1) = - \frac{ 2}{3} [/tex]
Step-by-step explanation:
we are given a function
[tex] \displaystyle \sf h(x) = \frac{2x - 6}{4 {x}^{2} + 8} [/tex]
we would like to simplify it for h(-1)
in order to do so
substitute the value of x
[tex] \displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { (- 1)}^{2} + 8} [/tex]
by order of PEMDAS
simplify square:
[tex] \displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { ( 1)}^{} + 8} [/tex]
simplify multiplication:
[tex] \displaystyle \sf h( - 1) = \frac{ - 2 - 6}{4 { }^{} + 8} [/tex]
simplify addition:
[tex] \displaystyle \sf h( - 1) = \frac{ - 2 - 6}{12} [/tex]
simplify subtraction:
[tex] \displaystyle \sf h( - 1) = \frac{ - 8}{12} [/tex]
reduce fraction:
[tex] \displaystyle \sf h( - 1) = - \frac{ 2}{3} [/tex]
What growth factor would be needed to provide 1/12th of 12% interest each month
1.01 is the growth factor that would be needed to provide 1/12th of 12% interest each month.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
Given, the growth factor would be needed to provide 1/12th of 12% interest each month
Remember the formulas:
Increasing: y = a (1 + r)ˣ
Decreasing: y = a(1 - r)ˣ
(1 ± r is the growth factor, while r is the growth rate)
In our case,
since it is an interest It will show the growth rate
Growth rate = 12% of 1/12
Growth rate = 1%
Growth rate = 0.01
Thus,
Growth factor = 1 + r
Growth factor = 1 + 0.01
Growth factor = 1.01
Therefore, The growth factor will be 1.01.
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A projectile is launched at a height of h feet above the ground at an angle of θ with the horizontal. The initial velocity is v0 feet per second, and the path of the projectile is modeled by the parametric equations
x=(v0cosθ)t and y=h+(v0sinθ)t-16t^2
Write the parametric equations to model the path of a projectile launched from ground level (h = 0) at the given values of θ and v0. Use your equations to answer the following questions.
θ=40∘ , v0=128 feet per second
Determine the maximum height
Give the time the object reaches this height (to one decimal place).
Give the approximate horizontal distance the objects is at this point (to one decimal place).
Determine the time the object will hit the ground after it is launched (to one decimal place).
Using the equation, the time the object will hit the ground after it is launched is 3.4 seconds.
To model the path of a projectile launched from ground level (h = 0), we can set h = 0 in the equation for y:
[tex]y = (v_0sin \theta)t - 16t^2[/tex]
Therefore, the parametric equations for the path of the projectile are:
[tex]x = (v_0cos\theta)t \\y = (v_0sin \theta)t - 16t^2[/tex]
Substituting θ = 40∘ and v0 = 128 feet per second, we get:
[tex]x = (128 cos 40^o)t\\y = (128 sin 40^o)t - 16t^2[/tex]
To determine the maximum height, we need to find the vertex of the parabolic path, which is given by:
t = -b/2a
where a = -16, b = 128 sin 40∘, and c = 0 (since the projectile starts and ends at ground level). Substituting the values, we get:
t = -128 sin 40∘ / (2*(-16)) = 2.3 seconds (approx)
The maximum height can be found by substituting this value of t into the equation for y:
y = (128 sin 40∘)(2.3) - 16(2.3)^2 = 230.3 feet (approx)
Therefore, the maximum height is 230.3 feet and it is reached at 2.3 seconds.
To find the horizontal distance at this point, we can substitute the value of t into the equation for x:
x = (128 cos 40∘)(2.3) = 172.8 feet (approx)
Therefore, the approximate horizontal distance the object is at this point is 172.8 feet.
To determine the time the object will hit the ground after it is launched, we need to find the time when y = 0:
[tex]0 = (128 sin 40)t - 16t^2[/tex]
Solving for t using the quadratic formula, we get:
t = 0 or t = 8 sin 40∘ / 2 = 3.4 seconds (approx)
Therefore, the time the object will hit the ground after it is launched is 3.4 seconds.
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NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
c) [tex]\frac{x-2}{x+6}[/tex]
Step-by-step explanation:
When given that function (f) is the following,
[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]
The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,
[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]
If is given that function (g) is the following,
[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]
Then one should also factor the expression,
[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]
One is asked to find the following,
[tex]f(x)*g(x)[/tex]
To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,
[tex]f(x)*g(x)[/tex]
Substitute,
[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]
Simplify, cross out like terms in the numerator and denominator,
[tex]\frac{x-2}{x+6}[/tex]
Find the volume of a hexagonal pyramid with a base area of 50 ft ^2 and height of 6 ft
Answer:
V=100ft³
Step-by-step explanation:
A barista in a coffee shop is preparing a customer's order using a cylindrical cup. The cup has a diameter of 9.5
centimeters, and the height of the cup is 3 times its radius. The cup is to be filled completely with coffee.
Rounded to the nearest hundredth of a cubic centimeter, how much coffee can the cup hold it filled completely?
425.08
1.009.56
2,019.12
03.028.68
4,038.24
Answer:
i believe the answer is 03.028.68
Step-by-step explanation:
hope this helps
25, 41, 49, 64Multiple ChoiceThe integers are not pairwise relatively prime since two of them have a common factor 3.The integers are pairwise relatively prime because there is no prime that divides all of them.The integers are pairwise relatively prime since two of them are prime.The integers are pairwise relatively prime because no two of them have a common prime factor.
Answer:
The integers are pairwise relatively prime since two of them are prime
Step-by-step explanation:
Given
[tex]25, 41, 49, 64[/tex]
Required
Determine if they are prime factors
First, we determine the gcd of the 4 numbers
[tex]25 = 1 * 5 * 5[/tex]
[tex]41 =1 * 41[/tex]
[tex]49 = 1 * 7 * 7[/tex]
[tex]64 = 1 * 2 * 2 * 2 * 2 * 2 * 2[/tex]
The common factor in the above computation is: 1
So:
[tex]gcd = 1[/tex]
Because the gcd is 1, this implies that no prime divides all the given numbers.
Hence, they are pairwise relatively prime
-3.5 + 7.75 + 6.9 (4.3)
Answer:
33.92
Step-by-step explanation:
At one point during the hike, Noe is at an elevation of 453 feet. After descending at a rate of 50 feet per
minute, she reaches an elevation of 146 feet.
How long does the descent take?
Answer:
6.14 minutes or 6 minutes & 8.4 seconds
Step-by-step explanation:
Initial elevation: 453 ft
Final elevation: 146 ft
Difference in elevation: 453 ft - 146 ft = 307 ft
speed = 50 ft/min
speed = distance/time
time * speed = distance
time = distance/speed
time = (307 ft)/(50 ft/min)
time = 6.14 minutes = 6 minutes + 0.14 * 60 seconds
time = 6.14 minutes = 6 minutes + 8.4 seconds
A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of
$0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the
lower price, should the formula use a z-value that is greater than or less than-1?
a. Greater than -1
C. Greater than 1
b. Less than -1
d. Either way, it doesn't matter
Please select the best answer from the choices provided
A
B
or the figure shown on the right, find m∠3 and m∠4.
Answer:
m<3=84
m<4=96
Step-by-step explanation:
180-43-41=96
180-96=84
The measure of ∠3 is 96° and measure of ∠4 is 64°.
What is Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
In triangle,
Measure of first angle (m ∠1 ) = 43°
Measure of second angle (m ∠2) = 41°
Let measure of ∠4 = x degree
Now, Sum of all angles in a triangle be 180 degree.
So, We can formulate;
m∠1 + m∠2 + m∠3 = 180°
43° + 41° + x = 180°
84° + x = 180°
x = 180° - 84°
x = 96°
So, measure of ∠3 = 96°
Since, The measure of ∠3 and measure of ∠4 are supplementary angles.
Hence, We get;
m ∠3 + m ∠4 = 180°
96° + m ∠4 = 180°
m ∠4 = 180° - 96°
m ∠4 = 64°
Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.
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plzzzzz help me is for mathhhh
100 points link down below! no off sight links please no I don't knows just a thing that state all the answers Ill give you another 50 points within the next 15 minutes if you finish it correctly and efficently.
Answer:
All of the questions?
Step-by-step explanation:
Answer:
i am not downloading this
Step-by-step explanation:
Write the fraction as a decimal and as a percent.
1
4
1
3
Answer:
1/4 as decimal =0.25
and as percentage 25%
1/ 3 as decimal = 0.33
and as percentage = 33.33%
A school has 510 male students and 850 female students. If a student from the school is selected at random, what is the probability that the student would be a male?
- 0.5
- 1
- 0.375
- 0.625
Answer:
0.375
Step-by-step explanation:
510 male out of a total of 1360
510/1360 = 0.375
Gail bought 7/8 pound of cheese and Jose bought 1/3 pound of cheese. How much more cheese did Gail buy than Jose?
Answer:
7/8 * 3 = 21/24
1/3 * 8 = 8/24
21-8 = 13
Gail bought 13/24 pound more than Jose
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark ( / ) for the fraction bar.
(4,0) (12,0)
Given:
The end points of a line segment are (4,0) and (12,0).
To find:
The midpoint of the line segment.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The end points of a line segment are (4,0) and (12,0). So, the midpoint of the line segment is:
[tex]Midpoint=\left(\dfrac{4+12}{2},\dfrac{0+0}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{16}{2},\dfrac{0}{2}\right)[/tex]
[tex]Midpoint=\left(8,0\right)[/tex]
Therefore, the midpoint of the given line segment is (8,0).
how to construct 75°
answer:
in order to construct 75°, you need to use a protractor and a compass
step-by-step explanation:
here is a step-by-step explanation from an online source
step 1: draw a line segment with endpoint O and Astep 2: draw an arc with O as centre cutting the line segment OA at point B with a compassstep 3: keeping the radius same, draw an arc with B as centre cutting the arc at Cstep 4: keeping the radius same, and C as the center, draw an arc intersecting the arc drawn in the previous step at Dstep 5: with any radius, draw two arcs with C and D as a center. intersect these two arcs at Estep 6: join OE. angle EOA is the angle with measurement of 90 degreesstep 7: now the line OE intersect the arc at the point Fstep 8: taking F and C as a center, make an arc with a radius of more than half of the measurement FC. the arc intersects at point Hstep 9: join the point H and O. angle HOA is the angle obtained of measurement 75 degreesstep 10: angle HOA is the desired angleConstruct 60°. Then 120°. Then construct 90° by bisecting them. Then bisect 60° and 90°. Then it will be 75°.
Math! Please help marking brainliest if it's correct and Explain
Answer:
D. The median, 5, is greater than the mean, 4,
Step-by-step explanation:
Median: Put them from least to greatest, ( but they are) then find the middle
Mean: Add all the numbers together= 20, divide that by the numbers you added from 5: 20/5=4
5 from median is < than mean 4
Plz like and brainly :D
Hope this helps
a(-6) = -42 what is a?
Answer:
it is 7
Step-by-step explanation:
The Clothes Barn is having a 65% off sale on all the dresses. Jennifer paid $43.75 for a dress that was on
sale. What was the original price of the dress?
1. $125.00
2. $28.44
3. $15.31
4. $105.00
Answer:A
Step-by-step explanation:
I used the process of elimination. I did, 125 x .65 to get 81.25. Then, I subtracted 81.25 to 125. To get 43.75.
The original price of the dress was $125.00.
What is the percentage?A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred.
How to solve this problem?Given that the discount = 65%
Sale price = $43.75
Let the original price of the dress is $x.
Now, sale price = x - x * 65% = x - x * 65/100 = (100 - 65)x/100 = 35x/100
We can write
35x/100 = 43.75
i.e. x = (43.75 * 100)/35 = 4375/35 = 125
Therefore, the original price of the dress was $125.00. So, option 1 is correct.
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Error Analysis: Kayla said the remainder of x^3+ 2x^2 -4x + 6 divided by
X+ 5 is 149. Is Kayla correct? Explain.
A) None of the above is correct.
B) No, Kayla is not correct, because the remainder is 49. not 149.
C) No, Kayla is not correct, because the remainder is - 49 rot 149.
D) Yes, Kayla is correct, because the remainder is 149.
9514 1404 393
Answer:
C) No, Kayla is not correct, because the remainder is -49 not 149
Step-by-step explanation:
The remainder from division by x+5 can be found by evaluating the polynomial at x=-5, the value of x that makes the divisor zero.
Evaluation is often easier when the function is written in Horner form.
((x +2)x -4)x +6
For x=-5, this is ...
((-5 +2)(-5) -4)(-5) +6 = (-3(-5) -4)(-5) +6 = 11(-5) +6 = -49
Kayla is not correct; the remainder is -49.
What is the probability of drawing 2 aces (at once) from a standard deck of cards? Leave your answer as a simplified fraction
Anwner : 4/52
Explanation : The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52; but the chance of drawing a second ace is only 3/51, because after we drew the first ace, there were only three aces among the remaining 51 cards. Thus, the chance of drawing an ace on each of two draws is 4/52 × 3/51, or 1/221.
Find the missing angle x
Then BAC
Answer:
Step-by-step explanation:
since arc BC is 2 time the angle of A , then
2(9x +12) = 21x +3
18x +24 = 21x + 3
21 = 3x
7 = x
x = 7
∠BAC = 9(7) +12
∠BAC = 63 +12
∠BAC = 75°
Some help please! :) Branliest
Answer:
Households without a vehicle were not surveyed. D
Step-by-step explanation:
I just finished with Maps testing like 10 minutes ago XD good luck!!
Select the correct answer from the drop-down menu.
A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the tabl
Size
Shirt Color
Large Medium Total
Red
42
48
90
Blue
35
40
75
Total
77
88
165
From the data given in the table, we can infer that
Answer:
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = P( blue shirt)
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt ) ≠ P( red shirt)
Explanation:
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
P( Blue shirt | large shirt ) = P( blue shirt). Therefore, option B is the correct answer.
What is data table?A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
Therefore, option B is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table. (See attached image for choices) box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table Size Shirt Color Large Medium Total Red 42 48 90 Blue Total 35 40 75 88 165 77 From the data given in the table, we can infer that
P(red shirt | large shirt) =P(large shirt)
P(blue shirt | large shirt) = P(blue shirt)
P(shirt is medium and blue) = P(medium shirt)
P(large shirt red shirt) = P(red shirt)'
According to a survey, approximately 64% of people in the United States think that the nation's water supply is safe to drink. A town has 625 people. What is the probability that 376 or more people think that the nation's water supply is safe to drink? A. 0.50 B. 0.975 C. 0.16 D. 0.84
Find the value of the missing sides URGENT I NEED HELP QUICK PLSSS
Answer:
B) x=5√3 y=5
Step-by-step explanation:
It’s a 30-60-90 triangle, so
B) x=5√3 y=5
help with Inscribed angles!!!!!!!!!!!!!!!!!!!!
Answer:
x = 30°
x = 80°
Step-by-step explanation:
Recall: an inscribed angle is half the measure of the intercepted arc
Thus:
x = ½(arc cb)
Substitute
x = ½(60)
x = 30°
x = ½(arc ab)
Substitute
x = ½(160)
x = 80°
URGENT NEED HELP FAST LINKS WILL BE REPORTED
Answer:
model B is shaded to represent 37.5%
here,
=3÷8×100%
=37.5%