Rounded to four decimal places, the p-value is 0.0844.
To determine the p-value for this hypothesis test, we need to follow these steps:
Step 1: State the null and alternative hypotheses.
Null hypothesis: The percentage of readers who own a laptop is 26%.
Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.
Step 2: Determine the test statistic.
We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:
z = (p - p) / √(p(1-p) / n)
where p is the sample proportion, p is the hypothesized population proportion, and n is the sample size.
Using the given values, we have:
z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)
z = -1.72
Step 3: Determine the p-value.
Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.
Therefore, the p-value is the sum of the areas in both tails:
p-value = 0.0422 + 0.0422
p-value = 0.0844
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Which point is at 44.197 on the number line?
Answer:
C
Step-by-step explanation:
because C
What is - 11/40 - 0.278 in decimal form? Show your work
Answer:
.553
Step-by-step explanation:
First you are going to have to find what -11/40 is in a decimal form. The decimal form for -11/40 is -.275. The way You would find the decimal from the fraction is by putting 40 as our divisor and 11 as our dividend, and don't forget to put in the negative sign. Once you already have -.275, you would have to subtract .278 from the .275 that we had, which would equal to .553
Please please answer this for me
In a cross country race of 40 athletes, 10 of them are on the same team. The probability that the top four finishers are all from that same team is given as 10P4 10P Express your answer as a fraction in simplest form, Provide your answer below: Content attribution
The probability that the top four finishers in a cross country race of 40 athletes are all from the same team can be calculated using the permutation formula.
The expression 10P4 represents the number of ways to choose four athletes from the team of 10.
To calculate 10P4, we use the permutation formula, which is nPr = n! / (n - r)!. In this case, n represents the number of athletes on the team (10) and r represents the number of athletes we want to choose (4).
Plugging in the values, we have 10P4 = 10! / (10 - 4)! = 10! / 6! = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1) = 210.
Therefore, the probability that the top four finishers are all from the same team is 210 out of the total number of possible outcomes in the race.
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consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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Calculate each Poisson probability: a. P(X = 7), λ = 6 (Round your answer to 4 decimal places.) b. P(X = 11), λ = 12 (Round your answer to 4 decimal places.) c. P(X = 6), λ = 8 (Round your answer to 4 decimal places.)
P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.
The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.
To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!
Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.
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What do people with a fixed Mindset believe?
Answer:
People with a fixed mindset think that their basic qualities, like their intelligence or talent, are simply fixed traits. They spend their time documenting their intelligence or talent instead of developing them.
Step-by-step explanation:
um I learned it once
anyone have mocks gcse for year11 maths edexcel
I'm in year 10 but here are some useful websites...
Tommy walks 2 miles to school each morning. During his walk he sees billboards every 1/5 of a mile. How many billboards does he see each morning?
Tommy walks 2 miles to school each morning, and he sees a billboard every 1/5 of a mile.
To find out how many billboards he sees, we can divide the total distance he walks (2 miles) by the distance between each billboard (1/5 of a mile).
Number of billboards = Total distance / Distance between billboards
= 2 miles / (1/5 mile)
= 2 miles * (5/1)
= 10 billboards
Therefore, Tommy sees 10 billboards each morning.
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What is the probability of drawing two blue cards if the first one is replaced before the second draw? Assume the first is blue.
Answer: 1/15
Step-by-step explanation: the answer on Acellus is 1/15
Find the area of a triangle with:
b: 14 cm
h: 23 cm
ANSWERS
322 cm2
322 cm3
161 cm2
161 cm3
Answer:
161cm2
Step-by-step explanation:
Area: 1/2 x base x height
1/2 x 14 x 23=161
Area is measured in cm2
Hope this helps!
Need help on this please help
do 20 x 3.14 and then youll have your anwser...id use a calculator btw
Then round it to the nearest whole number and BOOM anwser!!
i got 62.8 so round that and youll have ur anwser
On a bicycle, Sarah rides for 6 hours and is 44 miles from her house.After riding for 12 hours, she is 86 miles away.What is Sarah's rate?
To determine the Sarah's cycling rate, here are the steps:
1. Subtract 44 miles from 86 miles.
\(86mi-44mi=42mi\)2. Subtract 6 hours from 12 hours.
\(12hrs.-6hrs.=6hrs\text{ }\)3. Divide the result in step 1 by the result in step 2.
\(42mi\div6hrs=\frac{7mi}{hr}\)Hence, Sarah's cycling rate is 7 miles per hour.
What is the value of (2/5)^3
The value of the exponent (2/5)^3 is \(\frac{8}{125}\)
In the above question, it is given that
(2/5)^3
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.
We need to solve it and then find the value of the exponent
(2/5)^3
= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)
= \(\frac{2 . 2. 2}{5 . 5 . 5}\)
= \(\frac{8}{125}\)
Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)
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what is the slope-intercept equation for the line below
Answer:
A
Step-by-step explanation:
If I'm completely honest I'm not really sure of this cause I hv another way of doing this...
,
what is the answer of this question?
Step-by-step explanation:
The given mass of the Earth is 5.972 × 10²⁴
The given mass of the Jupiter is 1.898 × 10²⁷
Now,
1.898 × 10²⁷ ÷ 5.972 × 10²⁴
= 0.3178 × 10³ = 317.8
Thus, Jupiter is 317.8 heavier than Earth
A group of 500 middle school students were randomly selected and asked about their preferred frozen yogurt flavor. A circle graph was created from the data collected.
a circle graph titled preferred frozen yogurt flavor with five sections labeled Dutch chocolate 21.5 percent, country vanilla 28.5 percent, sweet coconut 13 percent, espresso 10 percent, and cake batter
How many middle school students preferred cake batter-flavored frozen yogurt?
27
50
72
135
Answer:
72
Step-by-step explanation:
50 middle school students preferred cake batter-flavored frozen yogurt, calculated by applying the percentage given to the total number of students surveyed.
Explanation:This question requires a basic understanding of percentages and how to apply them in a real-world context. The circle graph indicates that 10 percent of the students surveyed prefer cake batter as their favorite frozen yogurt flavor.
We're given that the total number of students surveyed is 500. To figure out the number of students who prefer cake batter, we multiply the total number of students by the percentage that prefer cake batter, expressed as a decimal.
So, 500 (total students) * 10/100 (percentage who prefer cake batter) = 50 students.
Therefore, 50 middle school students preferred cake batter-flavored frozen yogurt.
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the radius of a right circular cone is increasing at a rate of 1.8 in/s while its height is decreasing at a rate of 2.6 in/s. at what rate is the volume of the cone changing when the radius is 150 in. and the height is 128 in.? incorrect: your answer is incorrect. in3/s
The volume of the cone is changing at a rate of approximately -3368.49 cubic inches per second. The negative sign indicates that the volume is decreasing.
To find the rate at which the volume of the cone is changing, we need to use related rates and the formula for the volume of a cone, which is V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height.
Given that the radius is increasing at a rate of 1.8 in/s (dr/dt = 1.8) and the height is decreasing at a rate of 2.6 in/s (dh/dt = -2.6), we need to find dV/dt when r = 150 in and h = 128 in.
First, differentiate the volume formula with respect to time (t):
dV/dt = d(1/3πr²h)/dt
Apply the product rule and chain rule:
dV/dt = (1/3)π[2rh(dr/dt) + r²(dh/dt)]
Now, substitute the given values:
dV/dt = (1/3)π[2(150)(128)(1.8) + (150)²(-2.6)]
Perform the calculations:
dV/dt ≈ (1/3)π[55296 - 58500]
dV/dt ≈ (1/3)π[-3204]
dV/dt ≈ -3368.49 in³/s
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Hi! Okay I have a review from the 5th grade if someone can help me because I don't remember fractions it would be so helpful because I have 7 and a half minutes left on this!: What are the like units for 2/3 and 1/2?
Answer:
6
Step-by-step explanation:
Answer:
Im sorry im not giving the answer but maybe this will help you remember:
Step-by-step explanation:
replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12.
Classify this triangle by its sides.
Answer:
Equilateral
Step-by-step explanation:
All angles are the same, so the sides are the same as well
Classifications:
Scalene = no sides and angles are the same to others
Equilateral = All sides and angles are congruent
Isosceles = 2 sides and 2 angles are congruent.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: equilateral
Step-by-step explanation:
An equilateral triangle is a triangle where all the sides are the same length.
Solve for x please
Choices are...
10
5
25
90
Answer:
x = 10
Step-by-step explanation:
Angle form is = 90°
therefore
5x + 25 + x + 5 = 90
6x + 30 = 90
6x = 90-30
6x = 60
6x/6 = 60/6
x = 10
find f(t). ℒ−1 e−s s(s + 1)
To find the inverse Laplace transform of ℒ{e^(-s) / [s(s + 1)]}, we can use partial fraction decomposition and known Laplace transforms.
First, let's express the given function in partial fraction form:
e^(-s) / [s(s + 1)] = A/s + B/(s + 1)
To find A and B, we multiply both sides by s(s + 1) and then substitute appropriate values of s to simplify and solve for the coefficients:
e^(-s) = A(s + 1) + Bs
Setting s = 0, we get:
1 = A(0 + 1)
A = 1
Setting s = -1, we get:
e = B(-1)
B = -e
Therefore, the partial fraction decomposition is:
e^(-s) / [s(s + 1)] = 1/s - e/(s + 1)
Now, we can use the known Laplace transforms to find the inverse transform:
ℒ^(-1){1/s} = 1
ℒ^(-1){-e/(s + 1)} = -e^(-t)
Finally, we combine the inverse transforms:
f(t) = ℒ^(-1){e^(-s) / [s(s + 1)]} = ℒ^(-1){1/s} - ℒ^(-1){e/(s + 1)} = 1 - e^(-t)
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A basketball coach had her team practice free throws. The team attempted 308 free throws altogether. They made 6 times as many free throws as they missed. How many free throws did the team miss?
Let the number missed = x
They made 6 times that amount which would be 6x
The total of missed and made is 308:
X + 6x = 308
Combine like terms
7x = 308
Divide both sides by 7
X = 44
They missed 44
Evaluate without using a calculator (x2y-3)0+x1/3-(4x)1/2 when x = 64 and y = 27. Show work.
Given:
The expression is:
\((x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}\)
To find:
The value of the given expression when \(x=64\) and \(y=27\).
Solution:
We have,
\((x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}\)
Putting \(x=64\) and \(y=27\), we get
\(=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}\)
It can be written as
\(=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}\)
\(=1+4-2(8)\) \([\because a^0=1,a\neq 0]\)
\(=5-16\)
\(=-11\)
Therefore, the value of the given expression \(-11\) when \(x=64\) and \(y=27\).
Joe went to the store and bought 4 cans of peanuts for $7.80 .What is the constant of proportionality? (explain what you do to solve and actually solve)
Answer:
84
Step-by-step explanation:
an activity has an optimistic time of 15 days, a most likely time of 18 days, and a pessimistic time of 27 days. what is the expected time?
The expected time (also known as the expected value or the mean) Is approximately 12.5 days.
The expected time for an activity is the average time it is likely to take, taking into account its optimistic, most likely, and pessimistic estimates. The three-point estimate formula is used to calculate the expected time by weighting the most likely estimate four times as much as the optimistic and pessimistic estimates. In this case, the optimistic time is 15 days, the most likely time is 18 days, and the pessimistic time is 27 days. By plugging these values into the formula, the expected time is calculated to be 12.5 days. This means that, on average, the activity is likely to take 12.5 days to complete.
The expected time (also known as the expected value or the mean) can be calculated using the three-point estimate formula, which is:
Expected time = (Optimistic time + 4 * Most likely time + Pessimistic time) / 6
Plugging in the values, we get:
Expected time = (15 + 4 * 18 + 27) / 6 = (75) / 6 = 12.5
So the expected time for this activity is 12.5 days.
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PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
4x^2 B
-4x^2 A
1/4x^2 D
-1/4x^2 C
Step-by-step explanation:
1. Look at the concavity
up or down = negative or positive.
2. number before the x value
if N < 1, it will be wider. if N > 1, it will be thinner.
3. the two most right graphs would be -1/4x^2 and 1/4x^2
the one that is concave down is the - and the concave up is +
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?
A.
x = -9
B.
x = -6
C.
y = -9
D.
y = -4
Answer:
B
Step-by-step explanation:
y = \(\frac{1}{4}\) is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it then must be a vertical line parallel to the y- axis with equation
x = c ( where c is the value of the x - coordinates the line passes through )
the line passes through (- 6, - 9 ) with x- coordinate - 6 , then
x = - 6 ← equation of perpendicular line
Can someone plz help me with this one problem plz!!!
(I Will Mark Brainliest)!!!!
Answer:
(0, -8) and (8, -6) are two points on the graph.
Step-by-step explanation:
When Mya looked out at the store's parking lot, she noticed that for every 4 cars, there were 6 trucks. If there's a total of 220 vehicles in the parking lot, how many of them are cars, and how many of them are trucks?
Answer:
88 cars132 trucksStep-by-step explanation:
This is a ratio problem, the ratio of cars to trucks
for every 4 cars, there are 6 trucks
represented as a ratio we have 4:6
1. how many of them are cars
applying the part to whole strategy we have
4+6 = 10
let cars be x
\(\frac{4}{10}= \frac{x}{220} \\\\x= \frac{220*4}{10} \\\\x= 880/10\\\\x= 88 cars\)
2. how many of them are trucks?
let trucks be y
\(\frac{6}{10}= \frac{y}{220} \\\\x= \frac{220*6}{10} \\\\y= 1320/10 \\\\y= 132 trucks\)