A two-tailed test is performed. The p-value for a two-tailed test with a test statistic z = 1.947 is approximately 0.0511.
In hypothesis testing, the p-value is the probability of obtaining a test statistic as extreme as, or more extreme than, the observed test statistic, assuming the null hypothesis is true. In a two-tailed test, we are interested in deviations in both directions from the null hypothesis.
The p-value, the area under the standard normal distribution curve beyond the observed test statistic in both tails. Since the test statistic is positive (z = 1.947), we calculate the area to the right of the test statistic.
Using a standard normal distribution table or a calculator, find the area to the right of z = 1.947 is approximately 0.0255. To find the area in the left tail, we subtract this value from 0.5 (since the total area under the curve is 1).
P-value = 2 * (1 - 0.0255) ≈ 0.0511
Therefore, the p-value for this two-tailed test is approximately 0.0511, accurate to 4 decimal places.
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Trevor's mom bought 3 gallons of fruit juice at the store how many fluid ounces of fruit juice did Trevor‘s mom buy?
Answer: 384 fluid ounces
Step-by-step explanation:
First and foremost, when converting gallons to ounces, the conversion rate is:
1 gallon = 128 ounces
Therefore, since Trevor's mom bought 3 gallons of fruit juice, to convert it to to ounces, we have to multiply by 128. This will then be:
1 gallon = 128 ounces
3 gallons = 128 ounces × 3
= 384 fluid ounces of fruit juice.
Which function is quadratic?
O f(x)
O h(x)
O g(x)
Whoever answers correctly will get Brainliest!!!
Answer:
f(x) is the correct function. f(x) is quadratic.
Answer:
Function f(x) is quadratic because it is a parabola. Parabolas are graphs that show a curve and represent a quadratic function.
13 points if someone gets it right.
You spin this spinner twice.
1 polka-dot section, 2 white sections, 1 shaded section
Whta is the probability of the spinner stopping at a polka- dot section and then say stopping a solid white section? Write your answer as a fraction
The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.
The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.
When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.
Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.
Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).
To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8
Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.
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a. what is the probability that any individual sampled at random from this population would have a length of 40 mm or larger.
The probability that any individual sampled at random from this population would have a length of 40 mm or larger is: 1 - 0.9082 = 0.0918 or approximately 9.18%.
To calculate the probability that any individual sampled at random from this population would have a length of 40 mm or larger, we need to use the normal distribution function.
Let's assume that the lengths of the organisms follow a normal distribution with mean μ = 36 mm and standard deviation σ = 3 mm.
So, the z-score corresponding to 40 mm is:
z = (x - μ) / σ
z = (40 - 36) / 3
z = 4 / 3
Using a standard normal distribution table or calculator, we can find that the probability of a random variable being less than or equal to a z-score of 4/3 is 0.9082.
Therefore, the probability that any individual sampled at random from this population would have a length of 40 mm or larger is:1 - 0.9082 = 0.0918 or approximately 9.18%.
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Please help and you will get points
Answer:
sheesh this is big
Step-by-step explanation:
aight for the conver to meters
1)2
2)7
3)6.5
4)4
5)0.40
convert to litres
sorry my class just ended ill answer the rest in like 5 minutes
What is the slope of the line 4x-3y=6
Answer:
4
_
3
Step-by-step explanation:
A local company had revenues of $2,800 last year. They spent 1/4 of their revenues on marketing and 1/7 of the remaining money on upgrading their facilities. How much money did they have left after marketing and upgrading the facilities? Group of answer choices
Answer:
$1,800
Step-by-step explanation:
Given
Total revenue last year = $2,800
If they spent 1/4 of their revenues on marketing;
Amount spent on marketing = 1/4 * 2800
Amount spent on marketing = $700
Remaining money = 2800 - 700
Remaining money = $2100
If 1/7 of the remaining money is spent on upgrading their facilities, then;
Amount spent on upgrading facilities = 1/7 * 2100
Amount spent on upgrading facilities = $300
Total amount spent on marketing and facilities = $700 + $300
Total amount spent on marketing and facilities = $1000
Amount left = $2,800 - $1,000
Amount left = $1,800
A number cube was rolled 20 times to represent 20 purchases. What is the experimental probability of receiving a 20% coupon
The answer is 0.3 or 0.30
PLEASE MARK ME AS BRAINLIEST
solve pls brainliest
Answer:
64in
Step-by-step explanation:
v=L×W×H
= 4×4×4
= 16 ×4
= 64in²
1 hectare is defined as 1 x 10^4 m^2. 1 acre is 4.356 x 10^4 ft. How many acres are in 2.0 hectares? (Do not include units in your answer).
There are approximately 0.4594 acres in 2.0 hectares.
To solve this problemWe need to use the conversion factor between hectares and acres.
Given:
\(1 hectare = 1\) × \(10^4 m^2\)
\(1 acre = 4.356\) × \(10^4 ft\)
To find the number of acres in 2.0 hectares, we can set up the following conversion:
\(2.0 hectares * (1\) × \(10^4 m^2 / 1 hectare) * (1 acre / 4.356\) × \(10^4 ft)\)
Simplifying the units:
\(2.0 * (1\) × \(10^4 m^2) * (1 acre / 4.356\) ×\(10^4 ft)\)
Now, we can perform the calculation:
\(2.0 * (1\) × \(10^4) * (1 /\)\(4.356\) ×\(10^4)\)
= 2.0 * 1 / 4.356
= 0.4594
Therefore, there are approximately 0.4594 acres in 2.0 hectares.
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Which graph represents the linear equation y = −5x − 3?
a graph of a line that passes through the points negative 4 comma 0 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 0 and 0 comma negative 5
a graph of a line that passes through the points negative 1 comma 4 and 0 comma negative 2
Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.
Answer:
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation:
Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?
4 units to the left
4 units to the right
8 units to the left
8 units to the right
What change has been caused?
y=2(x-15)²+3y=2(x-15+4)²+3y=2(x-11)²+3Change in x (+4)
Means
translation is 4units leftOption A
Answer:
translate 4 to the left
Step-by-step explanation:
ED 2022
A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year.
Which function best models the linear relationship?
y = 22,000x − 40,000
y = –22,000x + 40,000
y = 22,000x + 40,000
y = 40,000x − 22,000
Answer:
Since the truck adds 22,000 PER YEAR, this would be the number we multiply by the variable depending on how many years they are calculating for. So we have y = 22,000x
The truck already has 40,000 miles on it so it s STARTING at 40,000, this is our y-intercept, or b.
Now we have y = 22,000x + 40,000
How many ninths are in 5 wholes???
Answer correct, please do quickly!!!
TY:)
Answer:
45 ninths or 45/9
Step-by-step explanation:
45/9 = 5/1 = 5
Answer:
45
Step-by-step explanation:
There are 9 nineths in one whole, therefore multiply by 5
9 x 5 = 45
= -x + 2. Find the remaining vertices
PERSEVERE A quadrilateral in the coordinate plane has exactly two lines of symmetry, y = x-1 and y
of the figure if there is a vertex at (-1,0). Graph the figure and the lines of symmetry on a separate sheet of paper.
List the coordinates of the vertices by starting with the vertex at (-1,0) and moving clockwise around the quadrilateral.
Answer:
wheres the photo?
Step-by-step explanation:
Which equation in slope intercept form passes through the point (-4,2) and has a slope of 9/2
Answer:
9x-2y=-40
Step-by-step explanation:
Find the value of each variable and the measure of
each labeled angle.
Answer:
14. x = 42, the angles are 84°
15. x = 22, the angles are 109°
16. x = 55, the angles are 212°
17. x = 25, the angles are 125°
Step-by-step explanation:
angles across from eachother are congruent :)
drag the gray arrow so that it is pointing midway between horizontal and vertical, heading downward and toward the right. extend it as far as it will go. what do you notice about the speed of the star as compared to the speed of the star relative to earth?
The speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
A star moving away from the observer (say on Earth) will have its emitted light red-shifted (move to lower frequency), i.e., the spectrum moving to left if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving towards the observer (say on Earth) will have its emitted light blue-shifted (move to higher frequency), i.e., the spectrum moving to the right if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.
A star moving perpendicular to the observer (say on Earth) will have its emitted light will no change with respect to the spectrum of the stationary star.
These are due to the Doppler effect, the equation of frequency detected by the observer as
\(f_{0} = f_{s}\sqrt{\frac{1-\beta }{1+\beta } }\) where \(\beta = \frac{v}{c}\), v the relative velocity of the moving source (the star here), f^s is the frequency of light emitted by the source.
Hence the answer is the speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.
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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
-3/5 divided by 5
Answer:
-3/25
Step-by-step explanation:
I used my calculator.
Given f(x) = -2x³ + x² - 2 find f(1)
Answer:
-3
Step-by-step explanation:
\(f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3\)
Hope this helps!
Help...../..........///////////.
Answer:
The answer is C. $2.20 per lb
it is C 2.20 per pound
Step-by-step explanation:
because 2.20 x 5 = 11 hope
hope this helps
jim is considering pursuing an ms in information systems degree. he has applied to two different universities. the acceptance rate for applicants with similar qualifications is 30% for university x and 40% for university y. what is the probability that jim will not be accepted at either university? a) .12 b) .60 c) .42 d) .70
The probability of Jim being rejected by both universities is 0.70 x 0.60 = 0.42 or 42%. So the answer is (c) 0.42.
To calculate the probability that Jim will not be accepted at either university, we need to find the probability of being rejected by both universities.
Let's start by finding the probability of Jim being accepted at University X. We know that the acceptance rate for applicants with similar qualifications is 30%. Therefore, the probability of Jim being accepted at University X is 0.30.
Similarly, the probability of Jim being accepted at University Y is 0.40.
To find the probability of Jim being rejected by both universities, we need to multiply the probabilities of being rejected by each university.
The probability of being rejected by University X is 1 - 0.30 = 0.70.
The probability of being rejected by University Y is 1 - 0.40 = 0.60.
Therefore, the probability of Jim being rejected by both universities is 0.70 x 0.60 = 0.42 or 42%.
So the answer is (c) 0.42.
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Find the slope of the image below
Answer: First question for the slope that passes through (-7, -2) and (6,-2) is m = 0. For the line that passes through (5, 3) and 5, -7) is m = 1/0.
I hope this helps!
Step-by-step explanation:
(−7,−2) and (6,−2)
(x₁,y₁) = (−7,−2)
(x₂,y₂) = (6,−2)
y₂ − y₁ / x₂−x₁
= −2 − −2 / 6 − −7
= 0/13
m = 0
m = y₂ − y₁ / x₂ − x₁
= −7 − 3 / 5 - 5
= −100
m = 1/0
Han's cell phone plan costs $200 to start. Then there is a $50 charge each month.
What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month?
What is the total cost (start up fee and monthly charge) to use the cell phone plan for 3 months?
Answer:
$250 for 1 month
$350 for 3 months
Step-by-step explanation:
What is the square 16/15 in simplest radical form?
Answer:
To start off, this fraction needs to be rationalized; you can't have a radical in the denominator. So, you multiply both the numerator & denominator by the same number (so as to not mess up the proportion of numerator:denominator; it's like multiplying by 1) & get the radical out of the denominator. What number would that be? sqrt5.
So we have (sqrt6/sqrt5)•(sqrt5/sqrt5).
To simplify that, we get (sqrt6•sqrt5)/(sqrt5•sqrt5).
This can be rewritten as:
sqrt(6•5)/sqrt(5•5)
= sqrt30/sqrt25
Now, sqrt25 = 5, so that problem is solved as such:
sqrt30/5
I'm thinking sqrt30 can't be simplified any further. If it can, do so.
Hope this helps!
Step-by-step explanation:
Please help!
A building is constructed on top of a cliff that is 300 meters high. A person standing on level ground below the cliff observes that the angle of elevation to the top of the building is 72° and the angle of elevation to the top of the cliff is 63°.
a. How far away is the person from the base of the cliff?
b. What is the building’s height?
The distance from the person to the base of the cliff is 269.78 meters.
The height of the building from the base of the cliff is 829.37 meters
The situation forms right angle triangle.
The building is constructed on top the cliff that is 300 meters high.
Right angle triangle:Right angle triangle has one of its sides as 90 degrees. Therefore, the sides can be found using trigonometric ratios.
The height of the building from the cliff is 300m. let's find the hypotenuse side of the angle of elevation formed to the cliff.
Using sin rule,
300 / sin (72 - 63) = y / sin (180 - 162)
300 / sin 9 = y / sin 18
300 sin 18 = y sin 9
y = 300 sin 18 / sin 9
y = 92.7050983125 / 0.156
y = 594.230769231
Therefore, how far the person to the base of the cliff can be calculated as follows;
cos 63 = adjacent / hypotenuse
cos 63 = x / 594.2307
x = 594.2307 cos 63
x = 269.775092454
x = 269.78 meters
Therefore, the distance from the person to the base of the cliff is 269.78 meters.
height of the cliff / 269.78 = tan 63
height of cliff = 269.78 tan 63
height of cliff = 529.37493165
height of cliff = 529.37
The height of the building = 300 + 529.37 = 829.37493165 = 829.37 meters
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Simplify the following expression:
\(7x^{5}y^{3}(x^{5} y^{5} )\)
what is 345x65 how do you should it
Answer: 22425
Step-by-step explanation: hope this helps!!
Answer:
22425
Step-by-step explanation:
The formula for the volume of a sphere is V=4/3πr³, where V is the volume and r is the radius. Solve the formula for r, and then use it to answer the question.
The volume of a soccer ball is about 371 cubic inches.
What is the radius of the soccer ball, to the nearest tenth of an inch? Use 3.14 for π. Help.
Answer:
4.5 inches to the nearest tenth
Step-by-step explanation:
V=4/3πr^3
Divide both sides by 4/3π:
r^3 = V / 4/3π
r = ∛ (V / 4/3 π)
When V = 371 inches:
r = ∛ (371/ 4/3 π)
= 4.46 in
Answer:
B. 4.5 inStep-by-step explanation:
volume of sphere V = 4/3 π r³
where V = 371 in³
π = 3.14
find: radius r
solution:
371 = 4 (3.14) r³
3
simplify:
371 (3) = 4(3.14) r³
371 (3) = r³
4(3.14)
r³ = 1113
12.56
r = \(\sqrt[3]{88.61}\)
r = 4.5 in. therefore, the answer is B.
What is the slope of the linear graph in simplest form ?
Answer:
2/1
Step-by-step explanation:
Slope = 2
up 2, right 1
rise over run
Answer:
It is originally 12\6 but if you divide both numbers by 6 you will get 6/1 which is also equal to 6
Step-by-step explanation:
1. count the rise over run to each point
it ran 6 times to the right so that is your run
it went up 12 times so that is your rise
2. Put in fraction form
your rise is always your numerator
(numerator/denominator)
your run is always your denominator
3. Simplify if needed.