The probability of having less than 10 vegans attending the event, given that the binomial distribution requirements are satisfied, is 9%.
What are the requirements of a binomial distribution?The requirements of a binomial distribution include:
Independent observationsFixed number of observationsEqual probability of success for each observationEach observation falls into the success or failure categories.What is probability?Probability is the likelihood of an event occurring given the possibility of many outcomes.
Probability is computed as percentages, fractions, or decimals, and it cannot be more than 1.
Data and Calculations:Expected guests = 100
Expected vegans = 5%
Less than 10 vegans = 9
The chance that 9 vegans will attend the event = 9/100 = 9%.
Thus, the probability of having less than 10 vegans attending the event is 9%.
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[tex]\sqrt[3]{1000}[/tex]
given ∛1000
∛1000 = ∛(10 × 10 × 10)
∛1000 = 10
Find the range please
Answer:
8
Step-by-step explanation:
The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:
2,10,21,23,23,38,38
38 - 2 = 36
The range in this example is 36. Similar to the mean, range can be significantly affected by extremely large or small values. Using the same example as previously:
2,10,21,23,23,38,38,1027892
The range, in this case, would be 1,027,890 compared to 36 in the previous case. As such, it is important to extensively analyze data sets to ensure that outliers are accounted for.
Answer: Range is all the values of the y-axis therefore, the range of the graph is {0,4,6,8}
Point A is located at coordinates (-4, 3). What are the coordinates of each point? (You may draw on the image below)
Answer: Point B will be at (4,-3)
Point C will be (-2,-3)
Point D will be (6,3)
Hi please help me with this question
Using the graph of f, determine f(4).
Answer:
f(4) = 5
Step-by-step explanation:
locate x = 4 on the x- axis, go vertically up to meet the line at (4, 5 ) , then
f(4) = 5
у + y + 2 = 18
Please answer
Answer:
y = 8
Step-by-step explanation:
y + y + 2 = 18
2y + 2 = 18
-2 -2 (+ 2 and - 2 cancel out each other)
2y = 16
2 2
y = 8
Use properties to find the product. 25x8x4
four boys hiked a distance of 2.53 km from manila south cemetery to washington sycip park. round the distance to the nearesr tenths
Answer:
2.5
Step-by-step explanation:
Mu choices are 2.5 or 2.6 .
2.53 would be closer to 2.5 than to 2.6
The distances would be
2.50, 2.51. 2.52, 2.53, 254. 2.55, 2.56, 2.57, 2.58, 2.59, 2.60
Another name for 2.5 would be2.50 and another name for 2.6 would be 2.60. Do you see from the list above that 2.53 would be closer to 2.50 than 2.60
question is in picture please help
Answer:
[tex] \sf {a}^{6} [/tex]
Step-by-step explanation:
Given expression
[tex] \sf \: {a}^{0} \: • \: \: {a}^{6} [/tex]
To find expression solution
power rule[tex] \sf \: {a}^{m} \: {a}^{n} = {a}^{m + n} [/tex]
[tex] \sf {a}^{0} + {a}^{6} = {a}^{0 + 6} [/tex]
[tex] \sf \therefore \: {a}^{6} [/tex]
[tex] \: \Large \mathbb{SOLUTION:}[/tex]
[tex] \: \: \rm{ {a}^{0} \times {a}^{6} }[/tex]
[tex] \: \: \text{Calculate the power }[/tex]
[tex] \: \: \underline{\underline{\rm{{a}^{6} }}}[/tex]
Quadrilateral A' B'C'D' is the image of quadrilateral ABC D under a translation.
Write the decimal equivalent of:
Three hundred three and two hundredths
Answer: 303.002
Step-by-step explanation:
Only answer if you know you're correct 100%
The distance between -10 and 5 on a number line is 15
Distance between points on a number lineFrom the question, we are to determine the distance between the given points on a number line
The given points are -10 and 5
On a number line, the distance between any two points is the difference between the largest number and the smallest number
That is,
Distance between two points on a number line = Value of the largest number - Value of the smallest number
The given points are -10 and 5
The largest number is 5
and
The smallest number is -10
Thus,
Distance between -10 and 5 on a number line = 5 - -10
Distance between -10 and 5 on a number line = 5 + 10
Distance between -10 and 5 on a number line = 15
Hence, the distance between -10 and 5 on a number line is 15
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The answer and all work is shown in the provided screenshot! :)
Have a great day!
Two children weigh 160 pounds together the oldest weighs 120 pounds more how much do they each weigh 
In the 2009-2010 school year in country A, there were 138,000 foreign students from country B. This number is % more than the number of students from country C. How many foreign students were from country C?
The number of students from country C using mathematical operations is 113,115.
What are the mathematical operations?The mathematical operations are addition, subtraction, multiplication, and division.
These mathematical operations are used to determine the output value, given some input values.
Data and Calculations:The number of foreign students from country B = 138,000
Students from country B are 22% more than the number of students from country C.
Assume that the number of students from country C = 100%
Then the number of students from country B = 122% (100 + 22)
If the number of foreign students from country B is 138,000, which is 22% more, then the number of students from country C is as follows:
The number of students from country C = 113,115 (138,000/1.22)
Thus, the number of students from country C using mathematical operations is 113,115.
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Question Completion:This number is 22% more than the number of students from country C.
I cannot do this help me to this
The corresponding angles of both triangles are not congruent to each other, therefore: B. ΔRST is not similar to ΔUVW.
What are Similar Triangles?If two triangles are similar to each other, their corresponding interior angles measures would be congruent to each other, while their corresponding side lengths would be proportional to each other.
Angle R = 55°
Angle T = 45°
Angle S = 180 - 55 - 45 = 80°.
Angle U = 55°
Angle V = 75°
Angle W = 180 - 55 - 75 = 50°
Thus, we can state that, the corresponding angles of both triangles are not congruent to each other, therefore: B. ΔRST is not similar to ΔUVW.
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If we are asked to to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation, because:
The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0
The y-intercept will be 0
The x-intercept is the point where the graph intersects the y-axis and hence the y-coordinate of that point will be 0
The x-intercept is always at (0, 0)
Answer:
1st one is the right option
the endpoints of segment mn have coordinates (0, 0) and (5, 1). the endpoints of segment ab have coordinates (1 1 2 , 2 1 4 ) and (−2 1 4 , k ). for what value of k are these segments parallel?
Answer:
When k = 1.5 the given segments are parallel===============================
Parallel lines have equal slopes.
Find the slope of the first line, mn:
[tex]m = \cfrac{y_2-y_1}{x_2-x_1}= \cfrac{1-0}{5-0}=\cfrac{1}{5}[/tex]Find the slope of the second line, ab:
[tex]m= \cfrac{y_2-y_1}{x_2-x_1}= \cfrac{k-2.25}{-2.25-1.5}=\cfrac{k-2.25}{-3.75}[/tex]Compare the slopes and find the value of k:
[tex]\cfrac{k-2.25}{-3.75}=\cfrac{1}{5}[/tex][tex]k-2.25=-\cfrac{3.75}{5}[/tex][tex]k-2.25=-0.75[/tex][tex]k=2.25-0.75[/tex][tex]k=1.5[/tex]Answer:
[tex]k=\dfrac{3}{2}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4.3 cm}\underline{Slope formula}\\\\$m=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\ are points on the line.\end{minipage}}[/tex]
Segment MN
M = (0, 0)N = (5, 1)[tex]\implies \textsf{slope}=\dfrac{y_N-y_M}{x_N-x_M}=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]
Segment AB
A = (1 ¹/₂, 2 ¹/₄)B = (-2 ¹/₄, k)[tex]\implies \textsf{slope}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{k-2 \frac{1}{4}}{-2\frac{1}{4}-1\frac{1}{2}}=\dfrac{k-2 \frac{1}{4}}{-2\frac{1}{4}-1\frac{2}{4}}=\dfrac{k-2 \frac{1}{4}}{-3\frac{3}{4}}[/tex]
Parallel lines have the same slope.
Therefore, equate the found slopes for the two segments and solve for k:
[tex]\implies \dfrac{k-2 \frac{1}{4}}{-3\frac{3}{4}}=\dfrac{1}{5}[/tex]
Cross multiply:
[tex]\implies 5 \left(k-2 \frac{1}{4}\right)=-3\frac{3}{4}[/tex]
[tex]\implies 5k-10 \frac{5}{4}=-3\frac{3}{4}[/tex]
[tex]\implies 5k-11 \frac{1}{4}=-3\frac{3}{4}[/tex]
Add 11 ¹/₄ to both sides:
[tex]\implies 5k-11 \frac{1}{4}+11 \frac{1}{4}=-3\frac{3}{4}+11 \frac{1}{4}[/tex]
[tex]\implies 5k=(-3+11)+\left(-\frac{3}{4}+\frac{1}{4}\right)[/tex]
[tex]\implies 5k=8-\frac{1}{2}[/tex]
[tex]\implies 5k=7\frac{1}{2}[/tex]
Divide both sides by 5:
[tex]\implies 5k \div 5=7\frac{1}{2} \div 5[/tex]
[tex]\implies 5k \div 5=\dfrac{15}{2} \div 5[/tex]
[tex]\implies k=\dfrac{3}{2}[/tex]
Therefore, the value of k for which the two segments are parallel is ³/₂.
(x,y) —> (y,x)
I can’t do this one
Answer:
I legit don't remember lol
10-0.5(12+8b)+b
pls help if you can!
Answer: 4-3b
Step-by-step explanation:
10-0.5(12+8b)+b First, distribute -0.5 into 12 and 8b
10-6-4b+b Then combine like terms
4-3b Done!
There are 496 black sedans in the parking lot and 640 non-black sedans in the parking lot. What is the ratio of non-black sedans to black sedans
Answer: the ratio is 1.13
Step-by-step explanation:
The ratio of non-black sedans to black sedans is 40/31, as of the given condition.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The total number of sedans in the parking lot is,
496 black sedans + 640 non-black sedans = 1136 sedans.
The ratio of non-black sedans to black sedans can be found by dividing the number of non-black sedans by the number of black sedans:
Ratio = 640 non-black sedans / 496 black sedans
Ratio = 640/496
Ratio = 40/31
So, the ratio of non-black sedans to black sedans is 40/31.
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What is the least integer whose square root is an irrational number between 5 and 7? 13 6 25 26
Answer:
26
Step-by-step explanation:
Comment
Irrational means that the number cannot be represented as a fraction. This question means that the square root itself is between 5 and 7. Be careful how you read the question.
That means you have to take the square root of the given number and see where it lands.
√13 = 3.61 which is not between 5 and 7
√6 is going to be even smaller. Not the answer
√25 = 5 The question says between. Not the answer.
√26 = 5.09 which is greater than 5 and and less than 7
Find unknown angle with work
Answer:
40°
Step-by-step explanation:
At point C, the angle is shown as 110°.
Since a line is 180°, you now know that the other side of point C is 70°.
Line A-B and A-C are equal (shown by the short lines), meaning the angle at point B is also 70°,
A triangle is 180° in total, so the equation would be 180° - 2(70°) = 180° - 140° = 40°
Kyla earns $21 per hour tutoring student-athletes at Eastern University. If Kyla tutored for 12 hours this month, how much money did she earn this month?
Answer: $252
Step-by-step explanation:
21$ an hour x 12 hours = $252 total :)
Answer:
She earned $252 thsi month.
Step-by-step explanation:
1 hour = $21
12 hours = $?
21*12 = 252
please help me with this input output.
Answer:
Step-by-step explanation:
IT WOUKF BE
Simplify -(3a-3) it’s hard
hi
-(3a-3) = -3a +3
you cannot do much more.
You can rewrite it as 3 ( -a +1) or as -3 ( a -1) but nothing more really.
Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10 what is the graph of the new line
the graph of the new line ,Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10.
Definition:Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
x = 3
The points are on a vertical line because they share the same x-coordinate. A vertical line has the equation x=constant. The x-coordinate of the points must match the constant:
x = 3 . . . . formula for the line
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. Given the relation = {(5,2), (7,4), (9,10), (, 5)}. Which of the following values for x will make relation a function?
Answer:
0
Step-by-step explanation:
since a function maps only one member in the co-domain
find the average of 1/8, 1/6, and 3/4
Answer:
Average= [tex]\frac{25}{72}[/tex]
Step-by-step explanation:
o find the average add up the values and divide the sum by the number of values.
Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem
= [tex]\frac{1}{8}[/tex] + [tex]\frac{1}{6}[/tex] +[tex]\frac{3}{4}[/tex]The least common denominator (LCD) is: 24.
Rewriting as equivalent fractions with the LCD:
= [tex]\frac{3}{24\\}[/tex] + [tex]\frac{4}{24}[/tex] + [tex]\frac{18}{24}[/tex]Rewriting numerators over the common denominator,
= [tex]\frac{3 + 4 + 18}{24}[/tex]Totaling the numerator:
= [tex]\frac{25}{24}[/tex]
Dividing by the number of values: 3
[tex]\frac{25}{24}[/tex] ÷3 =[tex]\frac{25}{24}[/tex] ×[tex]\frac{1}{3}[/tex] = [tex]\frac{25}{72}[/tex]
Average of the fractions is:
Average= [tex]\frac{25}{72}[/tex]
Suppose that you're designing a concrete patio. The patio will have height of 6 inches (1/2 foot) and have a rectangular base with a perimeter of 70 feet. If you have 138 cubic feet of concrete, what are the dimensions of the concrete patio?
The dimensions of the concrete patio should be 23ft x 12ft x 0.5feet.
What are the dimensions of an object?Since a rectangle is two-dimensional, while a cube is three-dimensional, the dimensions of the concrete patio include its length, width, and height or thickness.
Data and Calculations:The quantity of concrete required = 138ft³
The perimeter of the patio = 70 feet
Height = 6 inches or 1/2 foot or 0.5 ft
Perimeter = 2(L + W)
70 = 2(L + W)
L + W = 35 (70/2)
The possibilities for the length and width include 20 and 15, 25 and 10, and lastly, 23 and 12, which are also the two pair factors of 276.
Let L = 23 (the length is always longer than the width)
W = 12 (35 - 23)
Check:
Volume of concrete = 138ft³
Area = 276ft² (138ft³/0.5ft)
Two pair factors of 276 are 92 and 3, 46 and 6, 23 and 12, 2 and 138, and 1 and 276.
Given also that (23 + 12)2 = 70 (perimeter)
The dimensions that meet the two requirements are:
Length = 23 feet
Width = 12 feet
and Height = 0.5 feet
= 23 x 12 x 0.5 = 138
Thus, the dimensions of the concrete patio should be 23ft x 12ft x 0.5feet.
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Simplify to create an equivalent expression.
−
5
(
1
−
5
k
)
−
4
(
2
k
+
5
)
Answer:
Step-by-step explanation:
1) Distribute the numbers outside of the parenthesis to the numbers inside the parenthesis. This means multiple the outside number to all the numbers that are inside the parenthesis:
-5+25k-8k-20
2) Combine the like terms. The number with k get combined together since they both have a k. The numbers without a k get combined together. When you combine, you ADD the numbers together.
-13k+5
That should be right!
Use braces to write the members of the set, or state that the set has no members.
The integers from 6 to 10 (inclusive)
A.
{7, 8, 9}
B.
{6, 7, 8, 9}
{6, 7, 8, 9}
{6, 7, 8, 9}
{6, 7, 8, 9}
C.
{7, 8, 9, 10}
D.
{6, 7, 8, 9, 10}
The integers from 6 to 10 (inclusive).will be D. {6, 7, 8, 9, 10}.
How to compute the value?It should be noted that the integers given are from 6 to 10 (inclusive).
In this case, this simply means the numbers from 6 to 10.
Therefore, the appropriate number will be: D.
{6, 7, 8, 9, 10}
In conclusion, the correct option is D.
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