A spinner is divided into 4 sections. The spinner is spun 100 times and the probability distribution is given as follows:
Outcome 1234 Probability 0.450.200.250.10
Using the cumulative probability,
P(2 ≤ x ≤ 4) is:
P(2 ≤ x ≤ 4) = P(x = 2) + P(x = 3) + P(x = 4)P(2 ≤ x ≤ 4) = 0.2 + 0.25 + 0.1P(2 ≤ x ≤ 4) = 0.55
Therefore, the probability that the spinner lands on 2, 3 or 4 is 0.55. The answer is correct.P.S.: The question does not provide any information on how many sections the spinner has, but it gives the probability distribution of the spinner landing on each of the sections.
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How could the formula for perimeter be rearranged to find the length of the playground?
Answer:
The third option
Step-by-step explanation:
the formula is basically reversed, you can check it yourself by giving the W and L fake values then execute the first formula then the second formula and you will receive the value of your length as your answer
Someone please help me with this it’s Algebra
Answer:
D. a shift to the right
Step-by-step explanation:
As my teacher use to say, you run the opposite way of your crazy ex. So, if the number is negative, it moves to the right. If it's positive, it moves to the left. If it's a power, it goes up or down.
// have a great day //
Answer:
D, shift to the right
Step- by-step explanation:
When equations or functions have numbers that are subtracting it's shifted to the right
When they are adding they are shifted to the left
Hope this helps!
C= 7.5x +25What is the dependant variable in the formula
'X' is the input while the 'C' is the output. Because the value of 'C' depends on the value of 'x', then C would be the dependent variable, and 'C' the independent variable.
HELP ME QUICK
In Shawn's class, all the students have pets. Of those pets,1/5 are cats. Of those cats, 2/3 are alley cats. What fraction of the pets are alley cats?
Answer:
2/15
Step-by-step explanation:
You want to know the fraction that is 2/3 of 1/5.
TimesIn this context, "of" means "times."
2/3 of 1/5 = (2/3)×(1/5) = (2·1)/(3·5) = 2/15
2/15 of the pets are alley cats.
alternative hypothesis-testing technique test that concerns parameters and requires assumptions about parameters modification of the phi-coefficient that can be used to measure effect size value predicted from the proportions in the null hypothesis None of the above
The value predicted from the proportions in the null hypothesis serves as a basis for comparison to determine if the alternative hypothesis is more plausible.
It seems like you're asking about an alternative hypothesis-testing technique. In this context, an alternative hypothesis is a statement that contradicts the null hypothesis, suggesting that there is an effect or relationship between the variables being tested. Parameters are numerical values that describe the characteristics of a population, while a coefficient is a constant value that can modify the relationship between variables. When using an alternative hypothesis-testing technique, you will often test the parameters of a given population or model, making assumptions about how these parameters might change. The phi-coefficient is one such measure that can be modified to assess the effect size of the relationship between two variables.
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find the convolution of f(t)=e−(5t) and g(t)={2,0,0≤t<4t≥4
The convolution of f(t) = e^(-5t) and g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4} is given by h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}.
The convolution of two functions f(t) and g(t) is defined as:
h(t) = ∫_0^t f(τ) g(t-τ) dτ
In this case, we have:
f(t) = e^(-5t)
g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4}
To find the convolution h(t), we need to split g(t) into two parts based on the value of t:
For 0 ≤ t < 4, we have g(t) = 2.
For t ≥ 4, we have g(t) = 0.
Therefore, we can write:
h(t) = ∫_0^t e^(-5τ) 2 dτ + ∫_4^t e^(-5τ) 0 dτ
Simplifying the second integral, we get:
h(t) = 2 ∫_0^t e^(-5τ) dτ
h(t) = 2 [-1/5 e^(-5τ)]_0^t
h(t) = 2 (-1/5 e^(-5t) + 1/5)
h(t) = 2e^(-5t) - 2/5, for 0 ≤ t < 4
For t ≥ 4, we have:
h(t) = ∫_0^4 e^(-5τ) g(t-τ) dτ + ∫_4^t e^(-5τ) g(t-τ) dτ
Since g(t-τ) is zero for t-τ < 0, we can simplify the first integral to:
∫_0^(t-4) e^(-5τ) 2 dτ
Using the same technique as before, we can evaluate this integral to get:
[-1/5 e^(-5τ)]_0^(t-4)
= -1/5 e^(-5(t-4)) + 1/5
For the second integral, we have g(t-τ) = 0, so it simplifies to 0.
Therefore, we have:
h(t) = -1/5 e^(-5(t-4)) + 1/5, for t ≥ 4
Combining the two expressions for h(t), we get:
h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}
Thus, the convolution of f(t) = e^(-5t) and g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4} is given by h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}.
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The convolution of f(t) = e^(-5t) and g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4} is given by h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}.
The convolution of two functions f(t) and g(t) is defined as:
h(t) = ∫_0^t f(τ) g(t-τ) dτ
In this case, we have:
f(t) = e^(-5t)
g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4}
To find the convolution h(t), we need to split g(t) into two parts based on the value of t:
For 0 ≤ t < 4, we have g(t) = 2.
For t ≥ 4, we have g(t) = 0.
Therefore, we can write:
h(t) = ∫_0^t e^(-5τ) 2 dτ + ∫_4^t e^(-5τ) 0 dτ
Simplifying the second integral, we get:
h(t) = 2 ∫_0^t e^(-5τ) dτ
h(t) = 2 [-1/5 e^(-5τ)]_0^t
h(t) = 2 (-1/5 e^(-5t) + 1/5)
h(t) = 2e^(-5t) - 2/5, for 0 ≤ t < 4
For t ≥ 4, we have:
h(t) = ∫_0^4 e^(-5τ) g(t-τ) dτ + ∫_4^t e^(-5τ) g(t-τ) dτ
Since g(t-τ) is zero for t-τ < 0, we can simplify the first integral to:
∫_0^(t-4) e^(-5τ) 2 dτ
Using the same technique as before, we can evaluate this integral to get:
[-1/5 e^(-5τ)]_0^(t-4)
= -1/5 e^(-5(t-4)) + 1/5
For the second integral, we have g(t-τ) = 0, so it simplifies to 0.
Therefore, we have:
h(t) = -1/5 e^(-5(t-4)) + 1/5, for t ≥ 4
Combining the two expressions for h(t), we get:
h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}
Thus, the convolution of f(t) = e^(-5t) and g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4} is given by h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}.
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câte numere de forma xy2t sunt divizibile cu 5
a. 200
b. 190
c. 162
d. 180
Answer:
câte numere de forma xy2t sunt divizibile cu 5
a. 200
I'm not sure about answer...
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
The process of solving the inequality will be: -2(5 - 4x) < 6x - 4 8x - 10 < 6x - 4 -6 < -2x x > 3 This is in accordance to the rule of solving inequalities which states that whenever we multiply or divide by a negative number while solving an inequality, we must reverse the inequality sign.If the 20th term of a number sequence is 50, what will be the 21st term? (Non-serious answers will be reported because I need this to prepare for a Maths exam which is on Thursday.)
Answer: 52.5
Step-by-step explanation: We can divide 50 by 20 to find what the number is. In this problem, the number is 2.5. Since we know this, we can multiply 2.5 and 21 to get 52.5.
hope this helps!
please give brainliest!
Answer:
21st term = 52.5
Step-by-step explanation:
Given that,
→ 20th term of a sequence is 50.
The common difference is,
→ 50 ÷ 20
→ 50/20
→ 2.5
Now the 21st term will be,
→ n × 2.5
→ 21 × 2.5
→ 52.5
Hence, the answer is 52.5.
Help urgent!!! Solve 3x-1 = 10
Answer:
3x=10-1
3x=9
x=9/3=3
x=3
the answer is 3
How many terms are in the expression 36x^3+27x^2-18x-9
Answer:
Four (4) terms.
Step-by-step explanation:
36x³ + 27x² - \(18x^{1}\) - \(9x^{0}\)
The gives four terms.
The audio store normally sells a pair of speakers for $280. They are on sale this weekend for $224. What is the percent of decrease in price?
Answer: 20%
Explanation:
1. Turn it into a fraction (224/280)
2. Divide the numerator (224) by the denominator (280). (224÷280=0.8)
3. Subtract 1 by 0.8 (or 100% by 80%) that should give you the answer 0.2 (20%)
Checking work:
280x0.2=56
280-56=224
In which direction does the electric field point at a position directly east of a
negative charge?
The electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.
The correct option is D.
Briefing:A negative point charge has an electric field focused at it. Thus, the electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.
Electric field describe as:The electric field is defined as that of the electric force per unit of charge. The direction of the field is assumed to represent the direction of the force it would impose on a positive test charge. The electric field radiates outward from the a positive charge and inward from a negative point charge.
What are the characteristics of an electric field?The field lines never cross. The field lines lie parallel to the charge's surface. The quantity of charge and indeed the number of field lines are proportionate.
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I understand that the question you are looking for is:
What is the direction of the electric field directly to the east of an isolated negative point charge?
A. north
B. south
C. east
D. West
Can you have a triangle with sides 8, 9, and 11?
What is the fraction approximation of pi?
The fraction approximation of pi is 22/7.
Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, meaning it cannot be expressed as a finite decimal or a fraction.
Because it is an irrational number, its decimal representation goes on forever and never repeats. As a result, pi is usually approximated to a certain number of decimal places or expressed as a fraction. One such approximation is 22/7, which is close to pi and is commonly used in calculations involving circles.
22/7 is the fraction approximation of pi.
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27) Electric vehicles often have been proposed as an environmentally sound alternative to the gasoline engine for transportation. In response to state initiatives, several car manufacturers now include electric vehicles among their available models. In spite of these state initiatives, the penetration of electric vehicles into the transportation sector of the United States, as well as other countries, remains modest. (a) Identify and describe two environmental benefits to using electric vehicles in place of gasoline-powered engines for transportation. (b) Estimate the potential reduction in petroleum consumption (in gallons of gasoline per year) that could be achieved in the United States by introducing electric vehicles under the following assumptions: 1. The mileage rate for the average car is 25 miles per gallon of gasoline. 2. The average car is driven 10,000 miles per year. 3. The United States has 150 million cars. 4. 10 percent of United States cars could be replaced with electric vehicles. (c) Some people have suggested that electric vehicles only shift the emission of air pollutants from dispersed sources to point sources. Explain and defend or refute this statement. (d) Propose two potential new United States government policies that would encourage the widespread use of electric vehicles. Explain.
It can be deduced that the environmental benefits of using electric vehicles are decreased levels of carbon monoxide and carbon dioxide.
What are the environmental benefits of using electric vehicles?
It improves human health by decreasing rates of headaches, drowsiness. A decrease means less global warming, decreased greenhouse effect, as well as decreased acid precipitation.
The potential reduction in petroleum consumption will be:
= (150 million cars) × (10,000 miles per year)/25 miles per gallon × 0.1
= 6 billion
Electric vehicles only shift the emission of air pollutants from dispersed sources because most electric cars are powered by an electrical generating source identified as using combustion such as fossil fuels and coal.
Some incentives that would encourage the use of electric vehicles include mandated production for electric vehicles, reduced tolls, etc.
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Which number is equal to four and one-sixth?
four and sixteen hundredths with the six repeating
six twenty-fifths
4.2
416%
Answer:
4.2
Step-by-step explanation:
Four and one-sixth is equal to 4.2. One-sixth is the same as 1/6, which is equal to 0.16666666666666666. When you add this fraction to 4, you get 4.166666666666667, which can be rounded to 4.2. Four and sixteen hundredths is equal to 4.16, which is close to 4.2 but not exactly the same. Six twenty-fifths is equal to 0.24, which is also not equal to 4.2. 416% is equal to 4.16, which is also not equal to 4.2.
10. In the diagram, mZECA = 120.
m2BCD =
.A
(с
D
90
d
180
O
60
о
120
Answer:
120
Step-by-step explanation:
ECA and ACB must complement each other to 180 degrees.
as must ECD and BCD.
and that is just to start with.
overall this also means that angles at the top of the intersected line must be the same as the angles at the bottom of the intersected line. they are just mirrored, so, left is right and right is left.
therefore BCD = ECA = 120 degrees.
just imagine what would have to happen, so that that relationship between the angles can be destroyed.
right, at least one of the lines has to bend or kink away from the straight line at the intersection point.
but then, these parts of the "lines" are no longer part of the same straight line.
so, for truly straight lines, the mentioned relations between the angles always applies.
a survey of 100 randomly selected customers found the mean age was 31.84 years. assume the population standard deviation for age was 9.84 years.2.find the margin of error if we want a 90% confidence interval for the true population mean age?a.1.62b.30.22c.5.83d.4.57e.9.84
The margin of error if we want a 90% confidence interval for the true population mean age is calculated to be 1.62 years, therefore option (a) is correct.
We can use the formula for the margin of error:
Margin of error = z × (σ / √(n))
where z is the z-score for the desired level of confidence, σ is the population standard deviation, and n is the sample size.
For a 90% confidence interval, the z-score is 1.645. Substituting the given values, we get:
Margin of error = 1.645 × (9.84 / √(100)) = 1.62
Therefore, the margin of error is 1.62 years, which is option (a).
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Use mapping notation to descrittranslation left 3 units and down 5 units.
A (x) → (x - 3,75)
B. (x, y) = (x +3. y-5)
C. (x,y) → (x - 3, y + 5)
D. (x,y) → (*- 5.y+3)
Please select the best answer from the choices provided
A
B
С
D
WHATS THE ANSWER
Answer:
Step-by-step explanation:
Let n1 = 100, X1 = 90, n2 = 100, and X2 = 70.
Complete parts (a) and (b) below.
a. At the 0.01 level of significance, is there evidence of a significant difference between the two population proportions?
Determine the null and alternative hypotheses. Choose the correct answer below.
A. H0: π1 ≥ π2; H1: π1 < π2
B. H0: π1 = π2; H1: π1 ≠ π2
C. H0: π1 ≤ π2; H1: π1 > π2
D. H0: π1 ≠ π2; H1: π1 = π2
Calculate the test statistic, ZSTAT, based on the difference p1 − p2.
The test statistic, ZSTAT, is ____? (Type an integer or a decimal. Round to two decimal places as needed.)
Calculate the p-value.
The p-value is ____? (Type an integer or a decimal. Round to three decimal places as needed.)
Determine a conclusion. Choose the correct answer below.
(Do not reject, Reject) the null hypothesis. There is (insufficient, sufficient) evidence to support the claim that there is a significant difference between the two population proportions.
b. Construct a 99% confidence interval estimate of the difference between the two population proportions.
____? ≤ π − π2 ≤ ____? (Type integers or decimals. Round to four decimal places as needed.)
The values of p1, p2, n1, and n2 are not provided in the question, so we cannot calculate the specific test statistic, p-value, or construct the confidence interval without that information.
To determine the null and alternative hypotheses for testing the significance of a difference between two population proportions, we need to consider the given information.
In this case, the sample sizes and the number of successes in each sample are provided. Let's denote the sample proportions as p1 and p2, which can be calculated as p1 = X1/n1 and p2 = X2/n2, where X1 and X2 represent the number of successes in each sample, and n1 and n2 represent the respective sample sizes.
The null and alternative hypotheses can be stated as follows:
Null Hypothesis (H0): π1 = π2 (The population proportions are equal)
Alternative Hypothesis (H1): π1 ≠ π2 (The population proportions are not equal)
Therefore, the correct answer is:
B. H0: π1 = π2; H1: π1 ≠ π2
To calculate the test statistic (ZSTAT) and the p-value, we can use the following formulas:
ZSTAT = (p1 - p2) / √[(p1(1 - p1) / n1) + (p2(1 - p2) / n2)]
To find the p-value, we need to compare the absolute value of ZSTAT to the critical value(s) based on the significance level. Since the significance level is not provided, we cannot determine the exact p-value without that information.
Regarding the conclusion, we compare the p-value to the significance level (α) to make a decision. If the p-value is less than α, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
To construct the 99% confidence interval estimate, we can use the formula:
p1 - p2 ± Zα/2 * √[(p1(1 - p1) / n1) + (p2(1 - p2) / n2)]
Here, Zα/2 represents the critical value corresponding to a 99% confidence level, which is obtained from the standard normal distribution.
Unfortunately, the values of p1, p2, n1, and n2 are not provided in the question, so we cannot calculate the specific test statistic, p-value, or construct the confidence interval without that information.
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a population has a mean of 50 and a standard deviation of 12. according to the empirical rule, approximately what percentage of the population data are contained between 38 and 62?
a. 50%
b. 95%
c. 68%
d. 99%
The percentage of data between 38 and 62 is given as follows:
c. 68%.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.38 and 62 is within one standard deviation of the mean, hence the correct option is given by option c.
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16 gallons of water are used to completely fill 5 fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold?
Drag each tile to the correct box. Arrange the steps in the correct order to solve this trigonometric equation3 sin 2 ( x )
For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
What is trigonometry?Trigonometry is the study of angles and the angular connections of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.
What is the solution of the trigonometric equation?Generally, the equation for the trigonometric equation is mathematically given as:
Cos^2x=3sin^2x
Therefore
1 - sin^2(x) = 3 sin^2(x)
1/4 = sin^2(x)
Hence introducing \pi
x = arcsin(1/2) + 2nπ
x = π/6 + 2nπ
In conclusion,
x = π/6 + 2nπ
For a trigonometric equation. Cos^2x=3sin^2x, the solution is mathematically given as x = π/6 + 2nπ.
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What is the area of this face?
HELP FAST PLEASe
4 in.
2 in
10 in.
28 ina
40 in
2 in.
100 in
2 in.
52 in2
10 in.
Chau will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.15 per mile driven.
Answer:
175 Miles has to be driven to do the plans cost the same.
Step-by-step explanation:
Assume The Chau Drive Y miles .
We Have Given Two Plans ,
First Plan = 50$ + 0.19$ × Y Second Plan = 57$ + 0.15$ × YNow,Put First Plan=Second Plan (When Both Plans Cost The Same)
50$ + 0.19$ × Y = 57$ + 0.15$ × Y
0.04$ × Y = 7 ⇔ Y = 175 Miles
Question 3 of 10 Katerina is making picture frames of various widths for 5x7 photos. The diagram below shows what his picture frames look like. The colored rectangle is the frame with a width of 2 inches on all sides, the inner rectangle is the space for the picture. The polynomial expression 4x2 + 242 + 35 will calculate the total area of the frame and picture together for any value of L. What is the leading coefficient of this polynomial expression?
Answer:
leading co-efficent is 4
Help out with this question please!
Answer:
my answer is A
Step-by-step explanation:
if you work out the equation where you know that at the x intercept y=0 you will find A to be true
WILL MARK BRAINLIEST IF RIGHT!
If quadrilateral ABCD rotates 90° counterclockwise about the origin, what are the coordinates of A′ in quadrilateral A′B′C′D′ ?
A. (2, 1)
B. (-2, -1)
C. (-2, -2)
D. (-2, 0)
Answer:
B. (-2, -1)
Step-by-step explanation:
Step-by-step explanation:
Answer option B - ( -2, -1)
Hi I need help with this question
2 1/7+3/7(3x-5)=-4
An equation is formed of two equal expressions. The value of x is -28/9.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given expression can be simplified as,
\(2 \frac17+\dfrac37(3x-5)=-4\\\\\dfrac{15}{7} + \dfrac{9x-15}{7} = -4\\\\ \dfrac{15+9x-15}{7} = -4\\\\9x = -28\\\\x = \dfrac{-28}{9}\)
Hence, the value of x is -28/9.
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