Using the combination formula, it is found that there is a 0.1 = 10% probability of randomly choosing the correct pair of answer options
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 2 answers are chosen from a set of 5, hence the total number of options is given by:
[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]
Only one pair is correct, hence the probability of randomly choosing the correct pair of answer options is given by:
p = 1/10 = 0.1 = 10%.
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Complete the steps to calculate the density of the steel. calculate the volume of the prism. recall that the area of a hexagon is one-half times the apothem times the perimeter. v = cm3 calculate the volume of the cylinder. round to the nearest hundredth. v = cm3 find the volume of the composite figure. v = cm3 calculate the density by dividing the mass by the volume. d = g/cm3
Answer:
1. 0.45
2. 0.06
3. 0.39
4. 7.77
Step-by-step explanation:
causeeeeeeee
Help will give brainlest! Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.
Answer:
Angle a=92, angle c=88, angle b=100, angle d=80
Step-by-step explanation:
Brenna rolled a number cube 16 times and recorded each roll. the data are listed below. 2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5 create a dot plot for the data set. which value has the most dots displayed above it? 1 3 5 6
The value that will have the most dots displayed in the dot plot created for the data set is: C. 5
How to Create a Dot Plot?To create a dot plot, construct a horizontal line to label the values in the data set, then use dots to indicate the frequency in which each of the data points appear.
Given the data set:
2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5
1 will have 3 dots
2 - 2 dots
3 - 2 dots
4 - 2 dots
5 - 4 dots
6 - 3 dots
Thus, the value with the most dots displayed would be: 5.
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Answer:
✔ ∅ C) 5Step-by-step explanation:
Brenna rolled a number cube 16 times and recorded each roll. the data are listed below. 2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5 create a dot plot for the data set. which value has the most dots displayed above it?
O A) 1
O B) 3
✔ ∅ C) 5
O D) 6
4 of the 5 is more 2 of the 2, 2 of the 3, 2 of the 4, 3 of the 1, 3 of the 6
So The Answer is C) 5
The following scatter plot shows the correlation between the number of hours twelve teenagers spent in the mall and the number of dollars they spent on food or drinks while at the mall. Use the line of best fit to estimate how much money a teenager will spend on food if he or she is at the mall for three hours.
$9
$11
$7
$5
The equation of the line of best fit is an illustration of a linear function
The teenager would spend $9 on food if he or she is at the mall for three hours.
How to determine the amount spent on food?
The equation of the line of best fit is given as:
y = 2x + 3
When the teenager spends 3 hours in the mall, it means that:
x = 3
So, we have:
y = 2 * 3 + 3
Evaluate the product
y = 6 + 3
Evaluate the sum
y = 9
Hence, the teenager would spend $9 on food if he or she is at the mall for three hours.
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Find the equation (in terms of ) of the line through the points (-4,5) and (1,-1)
y =?
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{1+4}\implies -\cfrac{6}{5}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-4)}) \implies y-5=-\cfrac{6}{5}(x+4) \\\\\\ y-5=-\cfrac{6}{5}x-\cfrac{24}{5}\implies y=-\cfrac{6}{5}x-\cfrac{24}{5}+5\implies y=-\cfrac{6}{5}x+\cfrac{1}{5}[/tex]
Please help me answer this
Answer: hopefully this helps it’s a formula sheet for different shapes and it seems like your working with circles so use this!
Step-by-step explanation:
The speed of a cheetah is 65 miles per hour and the speed of a horse is 50 miles per hour. Rounding to the nearest tenth, how many times as fast is the cheetah as compared to the horse?
A. ) 1. 8
B. ) 1. 3
C. ) 0. 8
D. ) 0. 5
Answer:
B
Step-by-step explanation:
Just do the cheetah's speed divided by the horse's speed:
65/50
and thats your answer
Giving Brainiest and 60 points! :))
Answer:
Vertical angles! Hope this helped!<3
Answer:
Vertical Angles
Step-by-step explanation:
Adjacent Angles are adjacent to each other and share the same side.
Complementary Angles add up to 90°
Vertical Angles are similar angles on opposite sides of each other
Reflex Angles are angles that are over 180°
Therefore Vertical Angles is the answer
Line J K is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image J' K'. The slope of J K is m. If the length of J K is l, what is the length of J' K'?
A. m*n*l
B. (m+n)*l
C. m*l
D. n*l
Answer: C
Step-by-step explanation:
Katie is constructing the circumscribed circle for △RST. She has already used her compass and straightedge to complete the part of the construction shown in the figure.
What could be her next step?
Use the straightedge to draw the line through points A and C.
Use the straightedge to draw the line through points C and D.
Use the straightedge to draw the line through points C and B.
Use the straightedge to draw the line through points B and D.
Answer:
A) use a straightedge to draw a line thought D and F
Step-by-step explanation:
got it right on the test
Answer:
Use the straightedge to draw the line through points C and D.
Step-by-step explanation:
i took quiz
on a number line 48 to 49 would 48 3/5 be the closest to 49
Countries that have a low GDP (per capita) are referred to which of the following?
A. Developed
B. Rich
C. More economically developed country (MEDC)
D. Developing
Which describes a transformation using rotation?
A.
move points perpendicularly across a specified line a distance equal to its original distance from the specified line
B.
move points along a circular arc with a specified center through a specified angle
C.
move points a specified distance along a line parallel to a specified line
D.
move points closer or further from a specified point by a specified magnitude
Hannah is experimenting with a new drawing program on her computer. She created quadrilateral MATH with coordinates M(1, 2). A(-5, 3), T(- 6,-3), and H(0,- 4). Hannah believes that she has created a square. Prove that Hannah is correct.
The square MATH has equal side lengths MA, TH, AT and HM
Hanna's claim is correct because
The side lengths are equal.Opposite sides have the same slopeThe slopes of adjacent sides are opposite reciprocalsHow to prove that Hannah is correct?The coordinate points are given as:
M(1, 2), A(-5, 3), T(-6,-3), and H(0,- 4).
Calculate the side lengths of the square using the following distance formula
d = √[(x2 - x1)^2 + (y2 - y1)^2]
So, we have:
MA = √[(1 + 5)^2 + (2 - 3)^2] = √37
AT = √[(-5 + 6)^2 + (3 + 3)^2] = √37
TH = √[(-6 + 0)^2 + (-3 + 4)^2] = √37
HM = √[(0 - 1)^2 + (-4 - 2)^2] = √37
The side lengths are equal.
Next, we calculate the slopes using:
m =(y2 - y1)/(x2 - x1)
So, we have:
MA = (2-3)/(1+5) = -1/6
AT = (3+3)/(-5+6) = 6
TH = (-3+4)/(-6+0) = -1/6
HM = (-4-2)/(0-1) = 6
See that opposite sides have the same slope
i.e MA = TH and AT = HM
And adjacent sides have their slopes to be opposite reciprocals
i.e. MA = -1/AT and TH = -1/HM
The calculated distances and slopes implies that Hanna's claim is correct
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Solve the inequality. 2(4x – 3) ≥ –3(3x) 5x? x ≥ 0.5 x ≥ 2 (–[infinity], 0.5] (–[infinity], 2]
The solution of the inequality 2(4x - 3) ≥ -3(3x) + 5x is true for all x such that its a real number bigger or equal to 0.5 (Option A: x ≥ 0.5)
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
The considered inequality is:
[tex]2(4x - 3) \geq -3(3x) + 5x[/tex]
Simplifying its both sides, we get:
[tex]2(4x - 3) \geq -3(3x) + 5x\\8x-6\geq -9x + 5x\\8x-6 \geq -4x[/tex]
Adding 4x on both the sides, we get:
[tex]8x-6+4x \geq -4x + 4x\\(8+4)x - 6 \geq 0\\12x -6 \geq 0\\[/tex]
Adding 6 on both the sides, and dividing by 12, we get:
[tex]12x-6 +6 \geq 0+6\\12x \geq 6\\12x/12 \geq 6/12\\x \geq 0.5[/tex]
(some operations like addition, subtraction, multiplication by positive real number or division by positive real number keeps the inequality relation unaltered. With the use of such operations, here we tried to get x on one side, and constants on other side).
Thus, the considered inequality is true for all the values of x which are real numbers bigger or equal to 0.5 (Option A: x ≥ 0.5)
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jessie bought pecans for a party. She gave each of 12 friends a bag of mixed nuts with more than 6 grams of pecans. Write and graph an inequality that represents the minimum weight of the pecans Jessie bought, where p represents the number of grams of pecans.
What is an Inequality?
The dictionary defines an inequaltiy as a statement that two quantities are unequal, indicated by the symbol ≠; alternatively, by the symbol <, signifying that the quantity preceding the symbol is less than that following, or by the symbol >, signifying that the quantity preceding the symbol is greater than that following.
Inequality for this problem
x > 6
help me please ……………..
Answer:
I can t see it
Step-by-step explanation:
image below ill give branliest
Answer:
It is(-1,5)
Step-by-step explanation:
You just divide the (-3,15) by 3 and you get your answer.
Answer:
(-1 , 5)
Step-by-step explanation:
Find the coordinates of the point after dilation:
A (-1,5) and B (-3,4)
pls need hlp in math<3
Answer:
45 g
Step-by-step explanation:
30/200 simplified = 3/20
3/20 as a decimal = 0.15
0.15 g of barley for 1 ml of milk
300 · 0.15 = 45
45 g of barley for 300 ml of milk
hope this helps :)
Can someone please help me with this question?
Step-by-step explanation:
I think the answer is 15cm
A Number decreased by 2 times 5 is 60
Answer: The number is 14.
Step-by-step explanation:
14 minus 2 equals 12 and 12 times 5 equals 60.
Hope this helps :)
Have a great day!!
what is the volume of a cylinder,in cubic inches, with a height of 16 inches and base diameter of 4 inches? round to the nearest tenths place.
Answer:
201.06 in^3
Step-by-step explanation:
Volume of cylinder = pi r^2 h
= pi (2)^2 * 16 in^3 ( r = d/2 = 4/2 = 2)
Find the surface area of the prism.
The prism shown consists of 6 parallelograms and the surface area of the prism shown in the figure is 48 square inches.
How to calculate the surface area of a figureThe surface area is equal to the sum of all the areas of the sides of the figure.
The figure shown consists of 6 parallelograms. The area for calculating the area of a parallelogram is expressed as:
Area = Base * Height
Surface area = 4(2*4) + (4 * 4)
Surface area = 4(8) + 16
Surface ares = 48 square in
Hence the surface area of the prism is 48 square inches.
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What are the correct answers? Please, explain how to do it please.
Answer:
a
Step-by-step explanation:
Find the side length of a square with
each area.
a) 100 m2
c) 81 m2
b) 64 cm
d) 400 cm-
How many three-digit positive integers are there with no repeated digits, if the first digit and the last digit must be odd, but the middle digit can be even or odd
What percent of children who have a birthday party at home are between 5
and 10?
The percentage of children who have a birthday party at home between 5
and 10 is 3.69 %
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Total number of children = 325
The number of children that have parties at home between the 5 - 10 age group.
= 12
Now,
The percentage of children who have a birthday party at home between 5
and 10.
= 12/325 x 100
= 3.69 %
Thus,
The percentage of children who have a birthday party at home between 5
and 10 is 3.69 %
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3. There are 9 tables in the cafeteria. Each table has the same number of chairs. If there is a tota of 171 chairs, how many chairs are at each table a. 16 b. 17 C. 18 d. 19
Answer:
d. 19
Step-by-step explanation:
n.o of tables = 9
total n.o of chairs = 171
if there is equal n.o chairs in each table then,
171/9
=19
Please help me wit this math problem! Will give brainliest!! :)
Step-by-step explanation:
x² x<1
—x²+4x—1 1≤x≤3
x—3 x>3
feel free to leave a comment if still something's confusing.
What is the area of the shaded region?
Answer:
Area = 84.1
OR Exact A = 392 - 98pi
Step-by-step explanation:
Calculate the area of the rectangle and subtract the area of the two circles. See image.