Answer:
16 people
Step-by-step explanation:
I got the answer because I had the same question and I did did 16 people and I got to correct so I think you're going to get it correct too I don't really have and step by step explanation hope this helps
Which of the following is a counterexample to "the sum of two numbers is always greater than either of the numbers"?
15 + 7
+
-6 + 12
0.05 + 0.5
Answer:
-6 +12
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE BRAINLIEST!!
Which row of Pascal's Triangle should you use to expand the binomial (a + b)^4?
Answer:
Step-by-step explanation:
a + b)^6 will have 7 terms so you want row 6 of the triangle 1 6 15 20 15 6 1
so (a + b)^6 = a^6 + 6a^(5)b + 15a^(4)b^2 + 20a^(3)b^3 + 15a^(2)b^4 + 6ab^5 + b^6
given a = d and b = -5y
∴ (d − 5y)^6 = d^6 + 6d^(5)(-5y) + 15d^(4)(-5y)^2 + 20d^(3)(-5y)^3 + 15d^(2)(-5y)^4 +
a five-number summary for a data set is 35, 50, 60, 70, 90. about what percent of the observations are between 35 and 90?
Answer:
100%------------------
35 and 90 are the minimum and maximum values of the data set.
It means all observations are between those two numbers.
Hence the answer is 100%
Approximately 100% of the observations are between 35 and 90 in the given data set.
What is a median?
In statistics, the median is a measure of central tendency that represents the middle value of a set of data when arranged in ascending or descending order. It divides the data into two equal halves, with 50% of the values falling below the median and 50% falling above it.
To find the median, the data set is first arranged in order from smallest to largest (or vice versa). If the data set has an odd number of observations, the median is the middle value. For example, in a set of {1, 3, 5, 7, 9}, the median is 5.
The five-number summary consists of the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. In this case, the minimum value is 35, and the maximum value is 90. Since these values define the range of the data set, all the observations are between these two values.
Therefore, approximately 100% of the observations are between 35 and 90.
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For what value of x is the equation 2x−3-x+4=3 true?
Answer:
x = 2
Step-by-step explanation:
2x−3-x+4=3
combine like terms:
x + 1 = 3
x = 2
The equation is true for the value of x = 2.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is as given below.
2x − 3 - x + 4 = 3
We have to operate the like terms together.
Here 2x and x are like terms and 3 and 4 are like terms.
(2x - x) - 3 + 4 = 3
x - 3 + 4 = 3
x + 1 = 3
Subtracting 1 on both sides,
x = 3 - 1
x = 2
Hence the equation is true for x = 2.
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A school administrator believes that 80% of the students at his large school arrive by bus, 10% drive themselves, and 10% are dropped off by an adult. To investigate this belief, the administrator stands at the school entrance and asks the first 80 students who come through the door how they came to school. He would like to know if the data provide convincing evidence that the distribution of transportation method differs from what he believes it to be. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Large Counts condition is not met.
Yes, all of the conditions for inference are met.
Mark this and return
None of the conditions for inference are met in this scenario.
How to determine if the conditions for inference metBased on the information provided, the conditions for inference are not met. Specifically:
No, the random condition is not met: The administrator only surveys the first 80 students who come through the door. This does not represent a random sample of all the students at the school.
No, the 10% condition is not met: The administrator surveys 80 students out of the total student population. If the total student population is much larger than 800, then the 10% condition required for inference is not met.
No, the Large Counts condition is not met: The administrator surveys only 80 students, which may not be considered a large enough sample size to rely on the chi-square test for comparing observed and expected counts.
Therefore, none of the conditions for inference are met in this scenario.
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Assume you are using a significance level of a = 0.05) to test the claim that μ< 9 and that your sample is a random sample of 50l values. Find the probability of making a type II error (failing to reject a false null hypothesis), given that the population actually has a normal distribution with μ = 8 and σ = 6. B=1
The probability of making a Type II error (failing to reject a false null hypothesis), given that the population actually has a normal distribution is denoted as β (beta), is 1.
In hypothesis testing, a Type II error occurs when we fail to reject a false null hypothesis. In this scenario, the null hypothesis states that μ ≥ 9, while the alternative hypothesis is μ < 9. The significance level (α) is set at 0.05.
To calculate the probability of a Type II error, we need additional information such as the specific alternative hypothesis distribution and the effect size. However, the population parameters provided in this case, μ = 8 and σ = 6, allow us to determine that the probability of making a Type II error is 1.
Since the population mean is 8, which is less than the hypothesized mean of 9, any random sample from this population will have a sample mean less than 9. As a result, the null hypothesis will never be rejected, leading to a Type II error probability of 1.
It is important to note that in this specific case, the sample size and significance level do not affect the probability of a Type II error since the population mean is already less than the hypothesized mean.
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For a model of a building, a sculptor uses the scale of 3 inches represents 15 feet. The sculptor creates a model of an airplane that is 5 inches long. How long was the original airplane?
A 25 feet
B 30 feet
C 50 feet
D 75 feet
Answer:
A) 25 feet
Step-by-step explanation:
A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:
15/3 = 5
1 inch represents 5 feet.
Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:
5 x 5 = 25 feet.
5 inches represent 25 feet.
A) 25 feet is our answer.
~
Suppose the critical value for a right-tailed hypothesis test is 2.87 and the test statistic is 387 what is the appropriate conclusion?
A. Reject the null hypothesis
B. Fail to reject the null hypothesis
C. Reject the alternative hypothesis
D. Fail to reject the alternative hypothesis
The appropriate conclusion for the given critical value and test statistic is reject the null hypothesis so that the3 correct answer is option (A)
To determine the appropriate conclusion for a hypothesis test, we compare the test statistic to the critical value. In this case, we are given a right-tailed hypothesis test with a critical value of 2.87 and a test statistic of 387.
Step 1: Identify the critical value and test statistic
Critical value = 2.87
Test statistic = 387
Step 2: Determine the type of hypothesis test
Since it is a right-tailed hypothesis test, we will compare the test statistic to the critical value on the right tail of the distribution.
Step 3: Compare the test statistic to the critical value
The test statistic (387) is greater than the critical value (2.87). In a right-tailed hypothesis test, when the test statistic is greater than the critical value, we reject the null hypothesis.
Therefore, the appropriate conclusion is to reject the null hypothesis (option A).
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A horse trainer records the distance a horse travels during three different trials. What is the horse's average speed in kilometers per minute?.
A horse trainer records the distance a horse travels during three different trials.
The horse's average speed = 0.3 kilometers per minute.
Given the following data:
Time 1 = 15 minutes
Time 2 = 30 minutes
Time 3 = 45 minutes
Distance 1 = 4.5 kilometers
Distance 2 = 9.0 kilometers
Distance 3 = 13.5 kilometers
To determine the horse's average speed in kilometers per minute:
First of all, we would find the total time and total distance covered:
For total time:
Total Time = 15+30+45
Total time = 90 minutes
For total distance:
Total Time = 4.5+9.0+13.5
Total time = 27 kilometers.
Mathematically, average speed is given by the formula:
\(Average speed = \frac{Total Distance}{Total Time}\)
\(Average Speed = \frac{27}{90}\)
Hence, the answer is the horse's average speed = 0.3 kilometers per minute.
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Sierra hiked to the 5½ mile marker. She then hiked 3
more miles. At noon she hiked back to where she started.
How many miles did Sierra hike in total?
Answer:
17 miles
Step-by-step explanation:
5 1/2 + 3= 8 1/2 x 2 = 17
HELPPPPPP #6 ASAPPPPPPPPP PLEASEEEE
Answer:
D.
Step-by-step explanation:
A town has a population of 2000 and grows at 4% every year. What will be the
population after 15 years, to the nearest whole number?
Answer:
3602
Step-by-step explanation:
Formula = Population after n years = 2000( 1.04)^n
15 years the population will be 2000(1.04)^15
=3602.
Jacob rode his bicycle at an average rate of 15 kilometers per hour.
Which statement about Jacob's bike race could be true?
Answer:b
Step-by-step explanation:
What is 1/2 of a square?
One-half squared is one-fourth. In other words , 1/ 4 is the square is 1/2 .
What does Squaring mean?In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 32, which is the number 9.
Squaring a number is simply multiplying the value by itself. When you take the square root of a number, you are figuring out what number had to be squared to get the original value.
The square of a number (let x) is given by the formula x².
According to the Question ,
Square of 1/2 is given by = (1/2)²
Since , the square of a number (let x) is given by the formula x².
(1/2)²
= 1/(2)²
= 1/ 4
= 0.25
Hence, One-half squared is one-fourth. In other words , 1/ 4 is the square is 1/2 .
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Consider a triangle ABC like the one below. Suppose that A=121° C = 25°, and a=64. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answer:
4
Step-by-step explanation:
i need points bro
Sahra is exactly 5 feet tall and has a shadow of 4.5 feet if a nearby building has a shadow of 32 feet, what is the height of the building in feet
Check the picture below.
\(\cfrac{5}{4.5}=\cfrac{h}{32}\implies 160=4.5h\implies \cfrac{160}{4.5}=h\implies 35.\overline{55}=h\)
If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L . y = -x + 3 y = -3x + 3 y = 3x + 3
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts
m = \(\frac{3-0}{0+1}\) = \(\frac{3}{1}\) = 3
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line
Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (1 point) a 18 square inches b 27 square inches c 36 square inches d 45 square inches
The correct option regarding the surface area of the solid is given as follows:
d. 45 square inches.
How to calculate the surface area?The surface area of a solid is composed by the sum of the areas of all the pars of the figure.
The composition of the figure in this problem is given as follows:
4 triangles of base 3 and height 6.One square of side length 3.Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:
At = 4 x 1/2 x 3 x 6
At = 36 square inches.
The area of a square is given by the square of the side length, hence:
As = 3³
As = 9 square inches.
Thus the surface area of the solid in this problem is given as follows:
S = At + As
S = 36 + 9
S = 45 square inches.
Meaning that option d is correct.
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What is |-6,035| ?
Plz help
Answer:
6,035
Step-by-step explanation:
(Forgive me, I'm not awesome at explaining). You are calculating the absolute value. For this you will be ignoring the negative sign if it is in-between the lines. Or, to simply put it, how far away it is from 0 on a number line, you can use a number line to calculate this for smaller numbers but 6,035 is waaaaay too big. So, I just ignore the negative because, for example, you wouldn't say you were -6 miles away from your house, you would say you were 6 miles away. That's kind of what we are doing here. If the negative was OUTSIDE of the lines then it wouldn't be cancelled out. Ex. -|2| it is 2 away from 0, BUT you need to add on the negative making the answer to the -2. I hope this helped I'm not good with explaining!
Ms. Oliver is making masks for her son's class. She uses 2/3 of a yard of material for each
mask. How many masks can she make if she has 18 yards of material?
Answer: 27 masks
Step-by-step explanation: 2/3 = 1 mask
1 yard = 3/2
18 yards=3/2 * 18 = 27 masks
Find the equation of the line through the given points. (Let x be the independent variable and y be the dependent variable. )
(7, 2), (−1, 0)
Answer:
The equation of the line through the given points is y = (1/2)x + 1.
Step-by-step explanation:
To find the equation of a line passing through two given points, we can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (7, 2) and (-1, 0), we have:
m = (0 - 2) / (-1 - 7) = -2 / -8 = 1/4
Next, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) represents one of the given points. Let's choose the point (7, 2):
y - 2 = (1/4)(x - 7)
Expanding and rearranging the equation, we get:
y - 2 = (1/4)x - (7/4)
y = (1/4)x - (7/4) + 2
y = (1/4)x - (7/4) + (8/4)
y = (1/4)x + 1
Therefore, the equation of the line passing through the points (7, 2) and (-1, 0) is y = (1/4)x + 1.
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Find the equation of the straight line which passes through the point (-2,7) and Perpendicular to the line -4y+2x=-3.
Given: point (-2, 7)
The given line is perpendicular to the line we are to find.
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the other slope.
\(\begin{gathered} Equation\text{ of of the given line:} \\ -4y+2x=-3 \\ We\text{ need to write the equation in the form y = mx + b so as to get the slope} \\ -4y\text{ = -2x - 3} \\ \frac{-4y}{-4}\text{ = }\frac{-2x}{-4}-\frac{3}{-4} \\ y\text{ = }\frac{1}{2}x\text{ +}\frac{3}{4} \end{gathered}\)\(\begin{gathered} from\text{ the equation y = }\frac{1}{2}x\text{ + }\frac{3}{4} \\ m\text{ = }slope\text{ = 1/2} \\ b\text{ = }y-intercept\text{ = 3/4} \end{gathered}\)slope of the line perpendicular to the given line = negative reciprocal of the slope
slope = 1/2
reciprocal of the slope = 2/1 = 2
negative reciprocal = -2
2nd slope = -2
To get the equation of line with slope -2, we will use the point given:
\(\begin{gathered} \left(-2,\text{ 7}\right):\text{ x = -2, y = 7} \\ y\text{ = mx + b} \\ 7\text{ = -2}\left(-2\right)\text{ + b} \\ 7\text{ = 4 + b} \\ 7\text{ - 4 = b} \\ b\text{ = 3} \end{gathered}\)Th equation of line Perpendicular to the line -4y + 2x = -3 that passed through the point (-2, 7):
\(\begin{gathered} m\text{ = -2, b = 3} \\ y\text{ = mx + b} \\ \\ The\text{ equation:} \\ y\text{ = -2x + 3} \end{gathered}\)help me please! I’ll give y’all points
Answer:
11
Step-by-step explanation:
Answer:
Y = 11
Step-by-step explanation:
I think we are using the order of PEMDAS. We replace the x with 3. If we simplify this expression this is just 3 to the power of 2 multiplied by 2 then subtracted by 7. So 3^2 = 9 then 9 x 2 = 18. Then 18 minus 7 = 11.
find the surface area of the part of the sphere x^2 + y^2 + z^2 = 49 that lies above the cone z = √x^2 y^2
For this we need to calculate the surface integral over the given region.
The given equation \(x^{2} +y^{2} +z^{2}\)=49 represents a sphere centered at the origin with a radius of 7. The cone \(\sqrt{x} ^{2} +\sqrt{y ^{2}\) is a double cone that shares the same apex with the sphere.
To find the surface area, we can set up a surface integral over the part of the sphere that lies above the cone. We need to parametrize the surface and calculate the magnitude of the surface normal vector.
Using spherical coordinates, we can write the parametric equations for the surface of the sphere as x=7sin∅ cosФ,y=7sin∅sinФ,and z=7cos∅ where ∅ range from 0 to π/2 and Ф range from 0 to 2π.
Next, we calculate the magnitude of the surface normal vector N using the cross product of the partial derivatives of the parametric equations. The surface area element is then given by
dS =INId∅dФ
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Rewrite each expression using properties
2(x + 4) - 3(x -5)
2(x + 4) - 3(x -5) = 2x + 8 - 3x + 15 = 23 - x
A boy weighs 55 lb how much does he way in kilograms if 1 kilogram is 2.2 lb
Answer:
25 Kilograms
Step-by-step explanation:
A boy weighs 55 lb how much does he way in kilograms if 1 kilogram is 2.2 lb.
From the above question:
2.2 lb = 1 kilogram
55 lb = x Kilograms
Cross Multiply
2.2 lb × x Kilograms = 55lb × 1 kilogram
x Kilograms = 55lb × 1 kilogram/2.2 lb
x Kilograms = 25 kilograms
The boy of 55 lb weighs 25 Kilograms.
A custotuer requires during the next four months respectively 50,65,100, and 70 units of a commodity (no backlogs wllowed). Productions costs are $5,$8,$4, and $7 per unit during these months. The storage cost from one month to the next are $2 per unit (assessed on the end of the month inventory). Each unit at the end of the month 4 could be sold for $15 /unit. The production capacities for each month are 90, 75, 80 , and 50 units respectively. Currently, there are 15 units in inventory. Formulate a Linear Program that will minimize the objective function (sum of the production and inventory costs - revenue from selling end of period inventory at month 4). Note, inventory cost is assessed only for the first 3 periods. Model and solve the problem in AMPL and answer the quiz.
The formulated Linear Program aims to minimize the objective function, which is the sum of production and inventory costs minus the revenue from selling the end-of-period inventory at month 4.
In this problem, we need to determine the optimal production and inventory levels over the four-month period to minimize costs and maximize revenue. We can formulate this as a linear programming problem with the following decision variables:
Let x1, x2, x3, x4 represent the production quantities for months 1, 2, 3, and 4, respectively.
Let y1, y2, y3, y4 represent the end-of-month inventory levels for months 1, 2, 3, and 4, respectively.
The objective function we want to minimize is:
Minimize: (5x1 + 8x2 + 4x3 + 7x4) + (2y1 + 2y2 + 2y3) - (15y4)
Subject to the following constraints:
1. Initial inventory: y1 = 15 (given)
2. Production capacity constraints:
x1 <= 90 (month 1 capacity)
x2 <= 75 (month 2 capacity)
x3 <= 80 (month 3 capacity)
x4 <= 50 (month 4 capacity)
3. Inventory balance equations:
y1 + x1 - 50 = y2 (month 1)
y2 + x2 - 65 = y3 (month 2)
y3 + x3 - 100 = y4 (month 3)
y4 + x4 - 70 = 0 (month 4, no carryover inventory)
4. Non-negativity constraints:
x1, x2, x3, x4, y1, y2, y3, y4 ≥ 0
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what is the probability of rolling a sum of 10 on a standard pair of six-sided dice? express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
The most appropriate choice for Probability will be given by-
Probability of rolling a sum of 10 on a standard pair of six sided dice = \(\frac{1}{12}\)
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Here,
Total number of outcomes = 36
Favourable outcomes = {(4,6), (5,5), (6,4)}
Number of favourable outcomes = 3
Probability of rolling a sum of 10 on a standard pair of six sided dice = \(\frac{3}{36}\)
= \(\frac{1}{12}\)
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If a bus traveled 200 miles in 4 hours, what was the average speed of the bus in miles per hour?
Answer:
that means it traveled 50 miles in a one hour or 50 mph
Hope This Helps!!!
Answer:
ure def not in high school but elemantarty. Its 50 mph bc 20 divided by 4= 5
Step-by-step explanation:
How many terms are in the polynomial 10x^2 + 5x - 11
Answer:
3 terms!
Step-by-step explanation:
You can tell by what is separated by addition or subtraction.