The number of different values that x (the number of successes) can assume in a binomial experiment consisting of five trials is 6.
This is because x can take on values from 0 to 5 (inclusive), and there are 6 possible values in that range. Therefore, the answer is d. In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume ranges from 0 to 5 successes. Therefore, x can have 6 different values: 0, 1, 2, 3, 4, or 5. Your answer is d. 6.
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1/2 - x + 3/2 = x - 4
what is the solution for X in the equation?
Answer: x= 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What is the distance between the points (11 , -17) and (-11 , -17) in the coordinate plane?
Answer:
22 units
Step-by-step explanation:
11 - (-11) = 22
Pls awnser the question (I will name brainliest)
Answer:
Yes, the last digit i think its 10 is a outlier.
Step-by-step explanation:It is one because it just stick in the chart, like it fit in
Answer:10 foot is the outlier
Step-by-step explanation:it differs
from the rest
NEED HELP!
You are completing a math assessment. The number of questions you complete and the time it takes you to complete them have a proportional relationship, as shown in the table.
Number of Questions 2 5
Time (in minutes) 9 ?
How much time does it take to complete 5 questions?
11 minutes, 30 seconds
22 minutes, 30 seconds
3 minutes
12 minutes
The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds
Given,
The number of questions = 2
Time taken to complete 2 questions = 9 minutes
Now,
The number of questions = 5
We have to find the time taken to complete 5 questions:
We can consider ratio here:
That is,
Number of questions : Time taken to complete
So,
2 : 9 and 5 : x
Lets equate:
2 : 9 = 5 : x
That is,
2x = 5 × 9
Now, divide 2 on both sides:
2x/2 = (5 × 9) / 2
Here,
x = 45/2
Then,
x = 22.5
Converting this into minutes, we get 22 minutes, 30 seconds.
That is,
The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds
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Maya bought 8 chicken wings for $8.80. If Maya spent $25.30, how many chicken wings did she buy?
Answer:
She bought 23
Step-by-step explanation
Divide $8.80 by 8 take that and multiply it by 23 and you get $25.30
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below.
Age 15-19 20-24 25-29 30-34 35-39 40 44 45-54 Number of Multiple Births 89 508 1631 2822 1855 374 119 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old P(30 to 39) =______
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=_____ (Type an integer or decimal rounded to three decimal places as needed.) (c) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was less than 45 years old. P(less than 45)=_____
(Type an integer or decimal rounded to three decimal places as needed.) (d) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. Interpret this result. Is it unusual? Find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. P(at least 40) =_____ (Type an integer or decimal rounded to three decimal places as needed.) Interpret this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. If 1000 multiple births for women 15-54 years old were randomly selected, we would expect about of them to involve a mother who was at least 40 years old. B. If 1000 multiple births for women 15-54 years old were randomly selected, exactly of them would involve a mother who was at least 40 years old. Is a multiple birth involving a mother who was at least 40 years old unusual? A. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05.
B. Yes, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05. C. No, because the probability of a multiple birth involving a mother who was at least 40 years old is greater than 0.05. D. No, because the probability of a multiple birth involving a mother who was at least 40 years old is less than 0.05.
Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.
(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.
P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.
P(not 30 to 39) = 1 - P(30 to 39)
(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.
P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.
P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)
Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.
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Solve and graph this system of equations x+2y=5 and 3x=15-6y
Answer:
(x,y)=(5-2y,y), y belongs to all real numbers
Step-by-step explanation:
x=5-2y
3x=15-6y
3(5-2y)=15-6y
15-6y=15-6y
y∈All Real Numbers
(x,y)=(5-2y,y), y∈All Real Numbers
Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of premium?
Answer:
$750
Step-by-step explanation:
If p represents the original cost, the relationship expressed in the problem statement is ...
60 = 0.08p
Dividing by 0.08, we find ...
p = 60/0.08 = 750
The original cost of the premium was $750.
whats the mean
8, 10, 10, 11, 16, 17, 18, 21, 41
Answer:its just going up
Step-by-step explanation:
Answer:
The numbers are going up.
calculate the surface area of the prism below. SA= blank cm^2
please help me!!
Answer:
144
Step-by-step explanation:
The combined area of the two triangular faces is \((4)(3)=12\) cm².
The area of the back rectangular face is \((3)(11)=33\) cm².
The area of the bottom rectangular face is \((11)(4)=44\) cm².
The area of the slanted rectangular face is \((5)(11)=55\) cm².
Taking the sum of these areas, the total surface area is \(12+33+44+55=144\) cm².
What is the solution to the linear equation? Show your work.
-12 + 3b - 1 = -5 - b
Answer:
b = 2
Step-by-step explanation:
Original Equation:
-12 + 3b - 1 = -5 - b
Add b to both sides
-12 + 4b - 1 = -5
Add 12 to both sides
4b - 1 = 7
Add 1 to both sides
4b = 8
Divide both sides by 4
b = 2
Hope this is what you need :)
Answer: d on edge
Step-by-step explanation:
Section 7.3; Problem 2: Confidence interval a. [0.3134, 0.3363] b. [0.2470, 0.3530] c. [0.2597, 0.3403] d. [0.2686, 0.3314] e. [0.2614, 0.3386]
Based on the given options, the correct answer for the confidence interval is:
c. [0.2597, 0.3403]
The confidence interval represents a range of values within which we can estimate the true population parameter with a certain level of confidence. In this case, the confidence interval suggests that the true population parameter falls between 0.2597 and 0.3403.
To calculate a confidence interval, we typically need information such as the sample mean, sample standard deviation, sample size, and a desired confidence level. Without this information, it is not possible to determine the exact confidence interval.
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3x – 1 > 4x + 7
What’s the answer
Answer:
\(x<-8\)
Step-by-step explanation:
So we have the inequality:
\(3x-1>4x+7\)
Add 1 to both sides. The left side cancels:
\(3x>4x+8\)
Subtract 4x from both sides. The right side cancels:
\(-x>8\)
Divide both sides by -1. Since we're dividing by a negative, we flip the sign:
\(x<-8\)
And we're done!
Our solution is all numbers less than -8.
Answer:
x = -8
Step-by-step explanation:
I will be the brainliest, its hard to explain on a document, i could make you avideo how to do these problems, im a math teacher.
Find the area of a rectangle whose length is 5 ½ feet long and 1 3/4 feet wide.
Answer:
11/2 x 7/4 = 77/8 = 9 5/8
Step-by-step explanation:
A dairy farmer plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd, the pasture must contain 288,800 square meters. No fencing is required along the river. What dimensions will use the least amount of fencing? (See figure below.)
The optimal dimensions for the pasture are L = 480 meters and W = 601 meters,
A dairy farmer aims to enclose a rectangular pasture of 288,800 square meters adjacent to a river.
To minimize the amount of fencing used, we can apply the formula for the area of a rectangle (Area = length × width) and the concept of optimization.
Let's denote the length of the pasture parallel to the river as L and the width perpendicular to the river as W.
The area of the pasture is given by A = L × W = 288,800 square meters.
Since no fencing is needed along the river, we only need to minimize the perimeter P, which is P = L + 2W.
From the area formula, we can express L as L = 288,800 / W.
Substituting this into the perimeter formula gives P = (288,800 / W) + 2W.
To minimize P, we can find the critical points by taking the derivative of P with respect to W and setting it to zero. After solving for W, we can find the corresponding L.
By doing this, we find that the optimal dimensions for the pasture are L = 480 meters and W = 601 meters, which will use the least amount of fencing while providing enough grass for the herd
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A random sample of 900 13- to 17-year-olds found that 411 had responded better to a new drug therapy for autism. Let p be the proportion of all teens in this age range who respond better. Suppose you wished to see if the majority of teens in this age range respond better. To do this, you test the following hypothesesHo p=0.50 vs HA: p 0.50The chi-square test statistic for this test isa. 6.76
b. 3.84
c. -2.5885
d. 1.96
The p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.
The correct answer is not provided in the question. The chi-square test statistic cannot be used for testing hypotheses about a single proportion. Instead, we use a z-test for proportions. To find the test statistic, we first calculate the sample proportion:
p-hat = 411/900 = 0.4578
Then, we calculate the standard error:
SE = \(\sqrt{[p-hat(1-p-hat)/n] } = \sqrt{[(0.4578)(1-0.4578)/900]}\) = 0.0241
Next, we calculate the z-score:
z = (p-hat - p) / SE = (0.4578 - 0.50) / 0.0241 = -1.77
Finally, we find the p-value using a normal distribution table or calculator. The p-value is the probability of getting a z-score as extreme or more extreme than -1.77, assuming the null hypothesis is true. The p-value is approximately 0.0392.
Since the p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.
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For what values of p is the series convergent? [infinity]
∑ (−1)^n−1 (ln n)^p / n^3
n=2
Answer (in interval notation): ___
Values of p is the series convergent, ∑ (−1)ⁿ⁻¹ (ln n)^p / n³, n=2The series is convergent for p > 1.
To determine the Convergence of the series, we can apply the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges.
Let's apply the ratio test to the given series:
lim (n→∞) |((-1)ⁿ⁻¹ * (ln n)^p / n³)| / |((-1)ⁿ * (ln (n+1))^p / (n+1)³)|
Simplifying and canceling common terms:
lim (n→∞) |(ln n)^p * (n+1)³| / |(ln (n+1))^p * n³|
Taking the limit:
lim (n→∞) (ln n)^p * (n+1)³/ (ln (n+1))^p * n³
By simplifying further and applying L'Hôpital's rule:
lim (n→∞) [(ln n)^p / (ln (n+1))^p] * [(n+1)³ / n³]
= lim (n→∞) [(ln n / ln (n+1))^p] * [(n+1)³ / n³]
Since the limit of (ln n / ln (n+1)) as n approaches infinity is 1, and the limit of (n+1)³ / n³ is also 1, the overall limit is 1^p * 1 = 1.
For the series to converge, the limit must be less than 1. Therefore, we conclude that the series is convergent for p > 1.
In interval notation, the values of p for which the series is convergent are (1, ∞).
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Find the surface area of a square pyramid with side length 3 m and slant height 5 m.
Information provided with us:
Side length ( a ) = 3mSlant height ( l ) = 5mⳘ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ :
Surface area of square pyramid is given by the sum of areas of all its 4 triangular sides and the square base area. If a is the base side length and l is the slant height , then the surface area of square pyramid is:
ㅤㅤㅤㅤㅤ➙ a² + 2al
Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:
ㅤㅤㅤ➙ A = a² + 2al
ㅤㅤㅤ➙ A = ( 3 ) ² + 2 × 3 × 5
ㅤㅤㅤ➙ A = 9 + 30
ㅤㅤㅤ➙ A = 39m²
~Hence, the surface area of given square pyramid is 39 m².
Answer:
39 m²
Step-by-step explanation:
surface area of square based pyramid = \(a^2+2al\)
(where \(a\) is the side length of the base and \(l\) is the slant height)
Given:
\(a=3\)\(l=5\)⇒ SA = 3² + (2 x 3 x 5) = 39 m²
Does (-7,-7) make the equation y=x true
Answer: Yes it does.
Step-by-step explanation:
What are the respective names of the points of concurrency?.
The respective names of the point of concurrency is:
1. Circumcenter
2. Incenter.
3. Centroid
4. Orthocenter
Point of concurrency:
The point of concurrency is a point where three or more lines or rays intersect with each other.
Circumcenter:
The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.
Incenter:
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.
Centroid:
The point where three medians of the triangle meet is known as the centroid.
Orthocenter:
The point where three altitudes of the triangle meet is known as the orthocenter.
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Find the mean of the following data set.
42, 45, 58, 63
42
47
52
Find the zeros of the polynomial p(x) 5-10x
Answer:
Step-by-step explanation:
The given polynomial is :
p(x) = 5-10x
We need to find the zeros of the above polynomial. To find it, put p(x) = 0
5-10x = 0
Subtract 5 from both sides
5-10x-5=0-5
-10x=-5
or
10x=5
Divide both sides by 10.
x = 0.5 = 1/2
Hence, the zeros of the polynomial is 1/2.
Which equation has only 5 as a possible value of x
The equation that has only 5 as a possible value of x is A. x + 3 = 8
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
The information will be illustrated thus:
x + 3 = 8
x = 8 - 3
x = 5
x - 4 = 2
x = 2 + 4
x = 6
x + 5 = 16
x = 16 - 5
x = 11
x - 1 = 8
x = 8 + 1
x = 9
The correct option is A.
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Which equation has only 5 as a possible value of x
x + 3 = 8
x - 4 = 2
x + 5 = 16
x - 1 = 8
what 6y=3x-9, in the simplest form
Answer: x=2y+3
Step-by-step explanation:
Switch around the 6y
3x-9=6y
Add 9 to both sides
3x-9+9=6y+9
3x=6y+9
Divide everything by 3
x=2y+3
Please awnser fast due tommorow worth 40 pts(I need all of the answered)1 Which of the following could be the graph of the equation y =-2x + 5? How do you know?
Answer: Your image is too blurry to read, but the third graph from the left is correct for y=-2x+5
Step-by-step explanation: This equation is already in the slope-intercept form: y=mx+b. In the slope-intercept form, m=slope of the line and b=intercept. For your equation, the slope is -2 and the y-intercept is where y=5. To graph the line, the -2 slope is down 2 on the y-axis for every +1 on the x-axis. Please see my attached image for the graph.
Which graph represents the inequality 3y - 5x≤-6?
Answer: Graph A represents the given inequality 3y−5x>−6. Option A is correct.
From the graphs, the graph is to choose which best describes the inequality 3y−5x>−6
Step-by-step explanation: hope this helps
Graph A represents the inequality 3y - 5x≤-6. Correct option is A. The inequality 3y - 5x ≤ -6 represents a linear inequality in two variables, y and x.
To graph this inequality, we can rearrange it into slope-intercept form (y = mx + b), where m is the slope, and b is the y-intercept.
Let's rearrange the given inequality:
3y - 5x ≤ -6
First, add 5x to both sides of the inequality:
3y ≤ 5x - 6
Now, divide both sides by 3 to isolate y:
y ≤ (5/3)x - 2
Now, you have the inequality in slope-intercept form:
y ≤ (5/3)x - 2
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Find the length of side X to the nearest tenth.
Answer:
4.6
Step-by-step explanation:
In a 30-60-90 triangle, the length of the side opposite the \(30^{\circ}\) angle is \(\frac{1}{\sqrt{3}}\) the length of the side opposite the \(60^{\circ}\) angle.
\(\implies x=\frac{8}{\sqrt{3}} \approx 4.6\)
Calculate the area of the regular pentagon below:
A regular pentagon with side length of 22.3 inches and dotted line from center to middle of side of 15.4 inches.
(4 points)
a
686.84 square inches
b
732.34 square inches
c
858.55 square inches
d
1717.1 square inches
The area of the regular pentagon is approximately 732.34 square inches.
What is Polygon?A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
To calculate the area of a regular pentagon, we can use the formula:
Area = (1/4) ×√(5(5 + 2√5)) × side²
the side length of the pentagon is 22.3 inches, we can substitute this value into the formula:
Area = (1/4)√(5 (5 + 2√5)) (22.3)²
Area = 732.34 square inches
Therefore, the area of the regular pentagon is approximately 732.34 square inches.
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PLS HELP ASAP Which set of ordered pairs represents a function? (1 point)
A) {(0, 1), (1, 3), (1, 5), (2, 8)}
B) {(0, 0), (1, 2), (2, 6), (2, 8)}
C) {(0, 0), (0, 2), (2, 0), (2, 4)}
D) {(0, 2), (1, 4), (2, 6), (3, 6)}
Answer:
B) {(0, 0), (1, 2), (2, 6), (2, 8)}
Step-by-step explanation:
Passes the vertical line test.
I might be wrong tho
Adam earns $18 an hour. If his wages for the
week amount to $810, how many hours did he
work for?
Answer:
45 hours
Step-by-step explanation:
if he makes 18 dollars per hour and he has 810 dollars all you have to do is divide 810/18 and you get 45