The probability that at least 6% of those in the sample believe the thing about reptilian people controlling our world is 0.0567
What is binomial probability distribution?
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
According to the given question:
n = 100 random sample
p = 0.6 probability of success
P(X = x) = n to x pˣ(1-p)ⁿ⁻ˣ
P(X = 30) = 100 to 30 (0.6)³⁰(0.4)⁷⁰
= 0.0567
Hence the probability that at least 6% of those in the sample believe the thing about reptilian people controlling our world is 0.0567
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Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
Write a linear function for revenue.
R(x)=
c. Find C(50). Show your work.
• Write C(50) as an (x, y) coordinate point. ——-
• Write a sentence that explains the meaning of the point in the context of the problem.
D. Find R(50).
Represent R(50) as an (x, y) coordinate point. ———
Write a sentence that explains the meaning of the point in the context of the problem?
e. If the students sell 50 slushies, do they make a profit? Use mathematical work to help explain your answer. Complete the sentence below.
If the students sell 50 slushies, do they make——- a profit? Because——-
F. How many slushies do the students need to sell to break even? Use complete sentences to explain your problem solving strategy and your conclusion.
G. How many slushies do the students have to sell to make a profit of $1250? Use complete sentences to explain your problem solving strategy and your conclusion.
The linear function is C(x) = 500 + 1.25x and the revenue function is R(x) = 3.50x.
What is a function?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable
solution:
The linear function:
C(x) = 1.25x + 500
For revenue function:
R(x) = 3.50x
R(50) = 3.50(50)
= $175
Using the C(x) and revenue function we can find the number of slushies and profit.
Thus, the linear function is C(x) = 500 + 1.25x and the revenue function is R(x) = 3.50x.
Hence the linear and revenue functions are C(x) = 1.25x + 500 and R(x) = 3.50x
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two cars leave towns kilometers apart at the same time and travel toward each other. one car's rate is kilometers per hour less than the other's. if they meet in hours, what is the rate of the slower car?
The rate of the slower car is 152 km/hr.
Given:
two cars leave towns 340 kilometers apart at the same time and travel toward each other. one car's rate is 18 kilometers per hour less than the other's. if they meet in 2 hours.
Let x be the rate of slower car.
We have two cars heading towards each other. They start 340 km apart and meet up 2 hours later. This means that they are traveling:
340 / 2 = 170 km/hr towards each other.
If the two cars were traveling the same speed, they'd both be going:
170 / 2 = 85 km/hr
We know that one car is traveling 18 km/hr faster than the other car. One way we can account for this is to ± 9 km/hr to the average speed:
85 ± 9 = 94 , 76 km/hr
rate of slower car x = 84 - 9 * 2
x = 76 * 2 km/hr
= 152 km/hr
Therefore The rate of the slower car is 152 km/hr.
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Full question:
two cars leave towns 340 kilometers apart at the same time and travel toward each other. one car's rate is 18 kilometers per hour less than the other's. if they meet in 2 hours, what is the rate of the slower car?
Match each item with the correct unit price.
1. 78 cents each 20 for $1.56
2. 40 cents each 2 for one dollar
3. $1.05 each 5 at $3.90
4. 7.8 cents each $3.78 for 6
5. 63 cents each 1 for $1.58
1. 20 for $1.56 = A. 7.8 cents each
2. $3.78 for 6 =B. 63 cents each
3. For one dollar =C. 40 cents each
4. 5 at $3.90 = D. 78 cents each
5. for $1.58 = E. $1.05 each
1. 20 for $1.56
Since cost of 20 items = $1.56
So, cost of 1 item = 1.56/20
=$0.078
1 dollar = 100 cents
So, $0.078= 0.078 × 100
=7.8 cents.
2. $3.78 for 6
Since cost of 6 items = $3.78
So, cost of 1 item = 3.78/ 6
=$0.63
1 dollar = 100 cents
So, $0.63 = 0.63 × 100 =63 cents.
3. 2 1/2 for one dollar
Cost of 2 1/2 = 5/2 = $1
So, cost of 1 item = 1/5/2
= 2/5
1 dollar = 100 cents
So, $2/5 =2/5 × 100
=40 cents.
4. 5 at $3.90
Since cost of 5 items = $3.90
So, cost of 1 item = 3.90/5
=$0.78
1 dollar = 100 cents
So, $0.78 = 0.78 × 100
=78 cents.
5. 1 1/2 for $1.58
Cost of 1 1/2 = $1.58
So, cost of 1 item = 1.58/3/2
= 1.05
Thus,
1. 20 for $1.56 =A. 7.8 cents each
2. $3.78 for 6=B. 63 cents each
3. or one dollar =C. 40 cents each
4. 5 at $3.90 = D. 78 cents each
5. for $1.58 = E. $1.05 each
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What is the distance between (-3, 4) and (-3, 10)? on a graph
Answer:
6 units away
Step-by-step explanation:
Since they already have the same x-axis I just need to find the difference in the y-axis
explain why we need to define the vector space p n as the set of all polynomials with degree up to and including n instead of the more obvious set of all polynomials of degree exactly n .
Any n-dimensional vector should be able to be represented in space
What is standard form of a polynomial?
When expressing a polynomial in its standard form, the greatest degree of terms are written first, followed by the next degree, and so on.
To find the degree of the polynomial, add up the exponents of each term and select the highest sum ( if there are more than 1 variable in single term) or highest power of variable
Any n-dimensional vector should be able to be represented in space.
If it only has terms of degree n, it can only express polynomials of degree n.
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Given that (-2,3) is on the graph of y=f(x), find a point that must be on the graph of y=f(2x+1)+3. Express your answer as an ordered pair (a,b) where a and b are real numbers.
Answer for 100 points.
The ordered pair that is on the function y=f(2x+1)+3 is (-3/2, 6)
Which ordered pair is on the function y=f(2x+1)+3?
Here we know that for the function:
y = f(x)
And we know that the point (-2, 3) belongs to the function, this means that:
f(-2)= 3
Now we want to find a point on the function:
f(2x + 1) + 3
If we find x such that:
2x + 1 = -2
2x = -3
x = -3/2
Now we can evaluate the function in that value of x to get:
y = f(2*-3/2 + 1) + 3
y = f(-2) + 3
y = 3 + 3
y = 6
Then we have the point (-3/2, 6) on the function.
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Xavier downloaded 40 songs last week including 14 jazz songs . what percent of Xavier's downloads were jazz songs
Answer:
35%
Step-by-step explanation:
Xavier downloaded 40 songs last week,
14 of them were jazz songs.
Therefore, [tex]\frac{14}{40}[/tex] of Xavier's downloads were jazz songs.
In order to convert it into a percentage, we need to multiply 100 to the fraction.
We get [tex]\frac{1400}{40}[/tex], which is equal to 35%.
I would appreciate it if you mark my answer as brainliest.
identify the most appropriate test to use for the following situation: a national computer retailer believes that the average sales are greater for salespersons with a college degree. a random sample of 14 salespersons with a degree had an average weekly sale of $3542 last year, while 17 salespersons without a college degree averaged $3301 in weekly sales. the standard deviations were $468 and $642 respectively. is there evidence to support the retailer's belief?
99.7% of the students scored between (44.67 , 56.33) i.e.
between 44 and 56.
On Subtracting 1 from your sample size, we get
100 – 1 = 99.
On Subtracting confidence level from 1, and then divide by two.
(1 – .997) / 2 = 0.0015
Now, df = 99 and α = 0.0015
from the table at df = 99 we got 2.262.
Divide your sample standard deviation by the square root of your sample size.
28 / √(100) = 2.8
Now, 2.262 × 2.8 = 6.33
So, the confidence interval be,
(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)
Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.
between 44 and 56.
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what is exact value of sin ø
Answer:
Step-by-step explanation:
Answer:
(d) -(√2)/2
Step-by-step explanation:
You want the exact value of the sine of an angle when its terminal side intersects the unit circle at (√2/2, -√2/2).
SineThe coordinates of the point where the terminal side of angle θ intersects the unit circle are ...
(cos(θ), sin(θ))
Comparing this to the given point, we find that ...
sin(θ) = -√2/2
explosive devices used in mining operations produce nearly circular craters when detonated. the radii of these craters are exponentially distributed with mean 10 feet. find the mean and variance of the areas produced by these explosive devices.
The mean and the variance of the areas produced by these explosive devices is 314
Variance:
In statistics, variance refers a measure of dispersion that takes into account the spread of all data points in a data set.
Given,
Here explosive devices used in mining operations produce nearly circular craters when detonated. the radii of these craters are exponentially distributed with mean 10 feet.
Now, we need to find the mean and variance of the areas produced by these explosive devices.
In order to find the means and variance we have to use the formula ,
A = πr²
Here the value of r is 10,
Then the value of A is calculated as,
=> A = π(10)²
=> A = π x 100
We know that the value of π = 3.14, then the value of A is,
=> A = 3.14 x 100
=> A = 314.
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How many time in one day will the number on a digital clock (only minute and hour), if added together, equal ix? Explain your anwer
The traditional division of a day into 24 hours of 60 minutes each, with each minute made up of 60 seconds.
What is a clock?A tool used to measure and indicate time is a clock, often known as a timepiece.
One of the earliest human creations, the clock satisfies the requirement to measure time intervals less than those found in natural units like the day, lunar month, and year.
Over the centuries, various physical mechanisms have been utilized to power devices.
A few clocks that predate the contemporary model and are based on natural movement include:
A sundial displays the location of a shadow on a flat surface to indicate the time. There are various duration timers; the hourglass is one well-known type. The two time-telling devices that may be the oldest are water clocks and sundials.
The development of led to a significant advancement.
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X 2.3.PS-17
Question He
Peter says, "If you subtract 16 from my number and multiply the difference by -6, the result is -66." What is Peter's
number?
Peter's number is?
Peter's number is 27
Step-by-step explanation:
You would need to multiply -6 with 11 to get -66. 11+16=27 this 27-16=11 so 11×(-6)=-66.
Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What
is the total cost of the tacos?
Answer:
$36
Step-by-step explanation:
Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What is the total cost of the tacos?
$3 * 2 * 6 = $36
in regression analysis, measures the proportion of the variation in the dependent variable that is explained by the independent variable(s).
The coefficient of determination (R² or r-squared) is a statistical measure in a regression model that determines the proportion of variance in the dependent variable that can be explained by the independent variable.
What is variance?Variance is a measure of dispersion that, in contrast to range and interquartile range, accounts for the spread of all data points in a data collection. Along with the standard deviation, which is just the square root of the variance, it is the measure of dispersion that is most frequently employed. The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other.
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What is the difference in total degrees between a regular hexagon and a regular pentagon?.
Answer:
180
Step-by-step explanation:
Pentagon has a total interior angle of 540 degrees.
Hexagon has a total interior angle of 720 degrees.
720-540 = 180
use the appropriate normal distribution to approximate the resulting binomial distributions. a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit. a random sample of 35 customers is made. if the store owner's claim is correct, what is the probability that fewer than 22 customers in the sample buy coffee during their visit on that certain day of the week? a) 0.7764 b) 0.7967 c) 0.7224 d) 0.8413 e) 0.8238 f) none of the above.
The probability that fewer than 22 customers in the sample buy coffee during their visit is 0.7764.
What is a normal approximation to the binomial?
When we utilize a continuous distribution (the normal distribution) to approximate a discrete distribution, we use the normal approximation to the binomial (the binomial distribution). The Central Limit Theorem states that if the sample size is high enough, the sampling distribution of the sample means approximates normality.
In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
Given, 55% of the customers buy coffee, p = 0.55
Sample of 35 customers, n = 35
mean [tex]\mu[/tex] = np = 35*0.55 = 19.25
standard deviation, [tex]\sigma = \sqrt{np(1-p)}[/tex] = [tex]\sqrt{35*0.55*0.45}[/tex] = 2.94
So, the probability that fewer than 23 customers in the sample buy coffee is
P(X < 22 - 0.5) = P(X < 21.5)
= [tex]P(\frac{X-\mu}{\sigma} < \frac{21.5-19.25}{2.94})[/tex]
= P(Z<0.765) = 0.7764
Hence, the probability that fewer than 22 customers in the sample buy coffee during their visit is 0.7764.
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m/4 = 77°, m/8 = 4x + 57
Which system of equations is equivalent to this system?5x=10=3(x+y) and x+7=3x+y
The system of equations is equivalent to this system is 2x = 3y - 10
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given the equation as;
5x + 10 = 3(x+y)
x+7=3x+y
Solving the equation as;
5x + 10 = 3(x+y)
5x + 10 = 3x+ 3y
combine the like terms;
2x = 3y - 10
The system of equations is equivalent to this system is 2x = 3y - 10
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let m be the number of five-element subsets that can be chosen from the set of the first 14 natural numbers so that at least two of the five numbers are consecutive. find the remainder when m is divided by 1000.
There are 123 different possibilities. Therefore, we can derive from the multiplication principle that there are 13(123) ways.
Probability: The branch of mathematics known as probability deals with numerical expressions of the probability that an event will occur, or the probability that a statement will be true.
The probability of an event is a number between 0 and 1, with approximately 0 meaning improbability and 1 meaning certainty.
The probability of an event occurring increases with its probability. A simple example is tossing a fair (fair) coin.
Both outcomes (heads and tails) have equal probability, the coin is fair, heads are more likely than tails, there are no other possible outcomes, and either outcome has half the probability.
According to our question:
Let n be the maximum number of subsets of 5 elements that can be chosen from the first 14 natural numbers,
where at least 2 of the 5 digits are consecutive.
We created a block of two consecutive numbers ((1,2), (2,3), (13,14), etc.).
Now you can select this block in 13 different ways. You have to choose 3 numbers from the remaining 12 numbers.
So, from the multiplication principle, we know that we have 13 × (123).
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if i don't get this right i fail
The value of x in the first circle is 2, and in the second circle is 4 after applying the intersecting secants theorem.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).
It is given that:
A circle:
Applying intersecting secants theorem:
4(4 + x) = 3(3 + 5)
16 + 4x = 24
4x = 8
x = 2
In the second circle:
9(4x) = 8(4x+2)
After solving we get:
x = 4
Thus, the value of x in the first circle is 2, and in the second circle is 4 after applying the intersecting secants theorem.
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suppose a student repeats a measurement two times and then calculates the standard deviation. because the standard deviation is small, the student reports that their experiment was extremely precise. is the student's conclusion appropriate?
The student's conclusion is not appropriate or no, because there were not enough measurements to use standard deviation.
Given:
suppose a student repeats a measurement two times and then calculates the standard deviation. because the standard deviation is small, the student reports that their experiment was extremely precise.
standard deviation:
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
To find standard deviation :
σ = x - μ / z
But here sample mean and proportion , z score not given so there are not enough measurements to use standard deviation.
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Someone answer this please thank you
Answer:
The answer is 1/2
Step-by-step explanation:
x1 y1. x2. y2
(5, 8) (2, 2)
So you suppose to subtract xl by x2 then subtract y1 by y2
5-2.
------=
8-2.
which equal 3/6. Which 3/6 is equal to 1/2
If x4xy= x16, what is the value of y?
Answer:
4/x
Step-by-step explanation:
i need help ASAP please.
Answer:
altitude=8mm
Step-by-step explanation:
so a^2+b^2=c^2
substitute and you get
a^2+6^2=10^2
a^2+36=100
a^2=100-36=64
a^2=64
a=8
Answer: 8 mm
Step-by-step explanation:
The altitude of the triangle can also be known as the "height" from the highest point as a straight line perpendicular to the opposite side (the "bottom" which is also known as the "base" of the triangle).
This altitude makes two right triangles, so we will use the Pythagorean theorem to help us solve.
a² + b² = c²
a² + (6)² = (10)²
a² + 36 = 100
a² = 64
a = 8
The altitude of this triangle is 8 mm.
The cost of a movie ticket is \$ 8. 00$8. 00 for each adult and \$ 6. 00$6. 00 for each child. Assume you have \$ 40. 00$40. 00 to spend on tickets. Write an equation in standard form to represent the number of adult tickets, xx, and the number of children's tickets, yy, you can buy with your \$ 40. 00$40. 0.
Since an adult movie ticket costs $8 and a kid movie ticket costs $6, the equation for the given condition is 8x+6y=40.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
The cost of movie ticket for adult= $8
The cost of movie ticket for adult= $6
Total amount to spend= $40
Let x be the number of adult and y be the number of children,
8x+6y=40
The equation for the given condition is 8x+6y=40 as the cost of movie ticket for adult is $8 and for children, it is $6.
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what is 11 feet 7 inches plus 10 feet plus 14 feet and 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches
After solving the given expression that is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches is 460.5.
Given that,
We have to find what is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches.
We know that,
1 feet is equal to 12 inches.
So,
We can write as
11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches.
11f 7in+ 14f 6in +35.5in+ 30in + 6f 10in
11(12)+7in+14(12)+6+35.5+30+6(12)+10
132+7+168+6+35.5+30+72+10
460.5
Therefore, After solving the given expression that is 11 feet 7 inches plus 14 feet 6 inches plus 35.5 inches plus 30 inches plus 6 feet 10 inches is 460.5.
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if a set of exam scores forms a normal, symmetrical distribution with all measures of central tendency in the center of the distribution, what can you conclude about the students' scores?
If a set of exam scores forms a normal, symmetrical distribution with all measures of central tendency in the center of the distribution we can say about student's score that, about an equal number of students had relatively high and relatively low score.
A symmetrical distribution entails that the scores have the same number at a given distance above or below the average. Therefore an equal number of people had relatively high and relatively low scores. This contradicts most having relatively high or low scores, or not drawing any conclusions about scores.
Symmetrical distribution is evident when values of variables occur at a regular interval. In addition, the mean, median and mode occur at the same point.
Three of the many ways to measure central tendency are the mean, median and mode.
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Enter the numerator and denominator of a fraction in simplest form that is equivalent to 0. 941941.
Answer:
The answer is 941/1000.
Step-by-step explanation:
The simplified decimal is 0.941 and the 1 is in the thousandth place.
Hope this helped!
An airplane that travels 550miles an hour is still Air encounters a 50 mph headwind . How long will it take the plane to travel 850 miles into the wind ?
Answer:
It will take the plane 11 mph to travel 850 miles
question 7 a restaurant gathers data about a new dish by providing free samples to parties of six or more diners. what does this scenario describe? 1 point sampling bias geographically limited sampling unbiased sampling random sampling
The scenario where a restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.
What is sampling bias?
Sampling bias occurs when some members of a population are systematically more likely than others to be chosen for a sample. In the medical world, this is known as ascertainment bias. Because it threatens external validity, specifically population validity, sampling bias reduces the generalizability of findings.
Sampling bias occurs when some people in a community being surveyed are purposefully placed to be chosen or not chosen over others. If a sample process consistently favors some results over others, it is said to be biased. Ascertainment bias particularly in biological areas)/ and systematic bias are other terms for sampling bias. Bias can be intentional, but it is frequently unintentional.
Hence, the scenario where a restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.
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