Answer:
He generates a random whole number from 1 to 3.
Step-by-step explanation:
Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.
or
At a T-shirt stand on the boardwalk, 5 of the last 15 shirts sold were gray. Considering this data, how many of the next 12 shirts sold would you expect to be gray?
Answer:
4
Step-by-step explanation:
So, 5/15 shirts are gray.
This can be simplified to 1/3. (5÷5 = 1, 15÷5=3)
So taking this data into account, if we have 12 shirts, one third of them should be gray. So, 12/3 = 4.
Answer:
4
Step-by-step explanation:
Trust
Triangle ΔABC has side lengths of a = 18, [tex]b=18\sqrt{3}[/tex] and c = 36 inches.
Part A: Determine the measure of angle A
Part B: Show how to use the unit circle to find tan A
Part C: Calculate the area of ΔABC.
The measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.
What is the law of cosine?When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
[tex]\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle B=\cos^{-1}\left(\dfrac{a^2+c^2-b^2}{2ac}\right) \\\angle C=\cos^{-1}\left(\dfrac{a^2+b^2-c^2}{2ab}\right)[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
Triangle ΔABC has side lengths of a = 18, b=18√3 and c = 36 inches.
Part A: Determine the measure of angle APut the value, in the cosine law, the measure of angle A.
[tex]\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle A=\cos^{-1}\left(\dfrac{(18\sqrt{3})^2+36^2-18^2}{2(18\sqrt{3})(36)}\right) \\\angle A=0.5236\rm\; rad\\\angle A=30^o\rm\; degree\\[/tex]
Part B: Show how to use the unit circle to find tan AUsing the chart of unit circle, the value of tangent A can be found out. The tangent A is,
[tex]\tan A=\tan 30^o\\\tan A=\dfrac{1}{\sqrt{3}}[/tex]
Part C: Calculate the area of ΔABC.Use the following formula to find area of ΔABC.,
[tex]A=\dfrac{ab.\sin C}{2}\\A=\dfrac{18\times18\sqrt{3}.\sin C}{2}\\A=280.6\rm\; in^2[/tex]
Thus, the measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.
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Graph the line with slope 2 passing through the point (-1, 5).
Answer:
(-1,5)
(0,7)
(1,9)
(2,11)
(3,13)
(4,15)
(5,17)
Step-by-step explanation:
Because we are already given our slope and a point to help us create our line. With this information, we can find the other points that we would use to create the line for a slope = 2 passing through the point (-1, 5).
To do so we use the information that is a slope equal [tex]m=\frac{rise}{run}[/tex]
So we make our slope which is two look like [tex]m=\frac{2}{1}[/tex]
So to find our next point we would have to rise up 2 units and run 1 unit to the right from (-1, 5). We do the same to find the next points.
We get the following points from doing so
(0,7)
(1,9)
(2,11)
(3,13)
(4,15)
(5,17)
You will use the points to create the line for the slope 2 passing through the point (-1, 5)
help plsssssssssssss
Answer:
m<ABC = 90 degrees m<ABD = 57 degrees
Step-by-step explanation:
OMG this is soooooo easy I love geometry.
Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theater.
geography: MAD of 3.5
math: MAD of 1.36
English: MAD of 1.8
theater: MAD of 3.15
In which class were his scores the closest together?
math
English
geography
theater
Since it had the lowest mean absolute deviation, his scores were closest together in Math.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.Hence, lower values of the mean absolute deviation means that the scores are closer, and thus his scores were closest together in Math.
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Make a 3-by-6 logic grid on your own paper. Use it to help you solve the logic
puzzle and answer the question given below.
Davis, Roy, and Tom are on the rowing team. Each sits in a different position
(front, middle, and end) and is a different age (18, 19, and 20).
• Tom and the 19-year-old do not sit in the rear.
.
The person who sits in the rear is 20 years old.
Neither Tom nor Roy sits in the front.
Who sits in the middle, and how old is he? Be sure to check both answers.
Answer:
Tom sits in the middle and he is 18
Step-by-step explanation:
On the table you will first mark off Tom from being in the rear, as well as being 19
You will mark off Tom and Roy from the 1st, which places Davis as 1st, you also know that Tom is neither 1st nor last, so he is in the middle.
Now you see that Roy is neither in the 1st nor middle, so he is last.
Last is also the 20 yr old, so Roy is 20yrs and last seat.
Tom is neither 19 or 20.
So Tom is in the middle and 18yrs old
You will now consider Option 2-using low-flow shower heads instead of regular
shower heads.
Courtney claims that Option 2 would result in the class using 270 gallons of
water during 180 minutes of showering because:
(180minutes) (1.5gallons per minute) = 270gallons.
=
Courtney is incorrect.
• Identify her error.
• Explain how to find the correct amount of water used if the class
chooses Option 2.
• Include how much water would be used.
The error in Courtney claims that Option 2 would result in the class using 270 gallons is that he multiplied rather than dividing.
How to solve the error?From the information given, it should be noted that Courtney claims that Option 2 would result in the class using 270 gallons of water during 180 minutes of showering is incorrect because she should have divided and not multiplied. This will be:
= 270 / (3/2)
= 180 × 2/3
= 120
Therefore, 120 gallons will be used.
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7
Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Use the picture of the trapezoid below to complete the statements that follow.
10 units
units
14 units
square units, the area of section 2 is
square units, and the area of section 3 is
square
The area of section 1 is
units.
The area of the trapezoid is
square units.
Reset
Submit
Answer:
126 square units
Step-by-step explanation:
Area of section 1 is 8 square units which is triangle and,
Area of triangle is = [tex]\frac{1}{2}\times b\times h[/tex]
b= 2 units and height =8 units
So,
Area of section 1 = [tex]\frac{1}{2}\times 2\times 8=8 \quad\text{ square units}[/tex]
Same Area is of section 2 which is also a triangle and has same base and height.
So,
Area of Section 2 = [tex]\frac{1}{2}\times 2\times 8=8 \quad\text{ square units}[/tex]
Now the Area of section 3 which is square with side of 10 units
So,
Area of section 3 = [tex]a^{2} =10\times10=100\quad \text{square units}[/tex]
Total Area of Trapezoid = [tex]8+8+100=126 \quad \text{square units}[/tex]
What is this it’s hard to understand
For a rotation of 180° clockwise or counterclockwise, the x and y will always be the opposite. For instance, if coordinates (4, 7) are being 180° rotated, the new set of coordinates will be (-4, -7).
Remembering the rule, the final answer to your question is A, 180° clockwise rotation about the origin.
6) Give all asymptotes
A curve asymptote is a line where the distance between the curve and the line approaches 0. The function is undefined for the value of x=(5/2). Thus, x=(5/2) is an asymptote.
What are asymptotes?A curve asymptote is a line where the distance between the curve and the line approaches 0 when one or both of the x or y coordinates approaches infinity.
The asymptotes are the values for which the function is not defined. The asymptotes of a fractional function are found by equating its denominator's factors against zero. Therefore, the value of the asymptotes is,
[tex](2x-5)=0\\\\2x=5\\\\x=\dfrac52[/tex]
[tex]x-5=0\\\\x=5[/tex]
Now, substitute the value of x as (5/2) and 5, to know if the function is defined or not.
[tex]f(x) = \dfrac{(7x-1)(x-5)}{(2x-5)(x-5)}\\\\\\f(5) = \dfrac{[7(5)-1](5-5)}{[2(5)-5](5-5)}\\\\\\f(5) = \dfrac{(35-1)(0)}{(10-5)(0)} = 0[/tex]
Since for the value of x=5, the function is defined and returns the value as 0. Thus, x=5 is not an asymptote.
[tex]f(x) = \dfrac{(7x-1)(x-5)}{(2x-5)(x-5)}\\\\\\f(\frac52) = \dfrac{[7(\frac52)-1](\frac52-5)}{[2(\frac52)-5](\frac52-5)}\\\\\\f(\frac52) = \dfrac{(16.5)(-2.5)}{(0)(-2.5)} = \dfrac{\infty}{0}[/tex]
Since the function is undefined for the value of x=(5/2). Thus, x=(5/2) is an asymptote.
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Evaluate the expression.
(-3)³ +(5-2)4
Answer:
54
Step-by-step explanation:
( - 3 )³
= ( - 3 ) x ( - 3 ) x ( - 3 )
= - 27
( 5 - 2 )^4
= 3^4
= 3 x 3 x 3 x 3
= 81
( - 3 )³ + ( 5 - 2 )^4
= - 27 + 81
= 81 - 27
= 54
What is the surface area of this rectangular prism?
Answer:
it's simple math honey, just look it up
Ben spent 1/6 of his money on a burger, fries, and a drink. Then he spent half of the money he had left: $5 on a magazine, $8.25 on a bookmark, and $10.50 on a book. How much money did he have to begin with?
Please answer asap and please explain your answer.
Answer:
$2.25
Step-by-step explanation:
because u divide by 2 and then u get the correct answer I think its it
graph the equation
2x + 3y = 9
[tex]2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3[/tex]
Look at the graph picture I attached
[tex]y = mx + c[/tex]
c is the intercept, which is why the graph crosses the y-axis at +3
to find where it crosses the x-axis, we make y = 0
[tex]y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)[/tex]
11. Henry had a batting average of
0.340 last season. (Out of 500 at-
bats, he had 170 hits.) If his batting
average stays the same this year,
what is the probability that he'll get
exactly 8 hits in his next 20 at-bats?
Round your answer to the nearest
thousandth.
Answer choices:
6.820
0.788
0.154
0.297
The probability of getting exactly 8 hits in his next 20 at-bats is 0.153 (Round off to the nearest thousandth.).
The correct option is (c)
What is Binomial distribution?Binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.
Probability= [tex]C^{n}_r\; p^{r} \;q^{(n-r)[/tex]
where, n= number of trial,
r= number of success desire,
p= probability of success,
q= probability of Failure
probability of success = 0.34
To find the probability of winning exactly 8 hits in next 20 at-bats we find
dbinom (8, 20, 0.34)
Since p= 0.34
q= 1-p
= 1-0.34
= 0.66
n= 20, r=8
Using Binomial Distribution, we get
Probability= [tex]C^{n}_r\; p^{r} \;q^{(n-r)[/tex]
=[tex]\frac{n!}{r!(n-r)!} p^{r}\; q^{(n-r)}[/tex]
= [tex]\frac{20!}{8!(20-8)!} (0.34)^{8}\; (0.66)^{(20-8)}[/tex]
= 125970 x 0.0001785794 x 0.00683168
= 0.1536830
≈ 0.153 (Round off to the nearest thousandth.)
Hence, the probability of getting exactly 8 hits in his next 20 at-bats is 0.153.
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Consider the graph of the parent exponential function f and transformed function g.
A. shifted up 5 units
B. shifted to the left 1 unit
C. shifted up 3 units
D. shifted to the right 1 unit
Second options in picture.
To produce g, function f was reflected over the x-axis and (blank)
Function g can be defined as (blank)
Answer:
A, g(x) = -f(x)+5
Step-by-step explanation:
For the right triangles below, find the values of the side lengths h and b . Round your answers to the nearest tenth.
Answer:
d
Step-by-step explanation:
Find the length of the missing side of the right triangle.
Answer:
39 units
Step-by-step explanation:Since two side lengths and a right angle are given, we can use pythogoras theorem to determine the missing side (c) of the triangle. It should be noted that pythgoras theorem can only be used if the triangle is a right triangle.
Pythogoras theorem formula:
[tex](\text{Side}_{1} })^{2} + (\text{Side}_{2} )^{2} = (\text{Hyptenuse})^{2}[/tex]
Substitute the legs of the triangle and the hyptenuse
[tex]\implies (36)^{2} + (15 )^{2} = (c)^{2}[/tex]
Simplify both sides of the equation
[tex]\implies 1296 + 225 = (c)^{2}\\[/tex]
[tex]\implies 1521 = (c)^{2}\\[/tex]
Take square root both sides
[tex]\implies \sqrt[2]{1521 } = \sqrt[2]{c^{2} }[/tex]
Solve for "c" by simplifying the roots
[tex]\implies \sqrt[2]{39 \times 39 } = \sqrt[2]{c \times c }[/tex]
[tex]\implies \boxed{39 = c}[/tex]
Thus, the measure of the missing side length (c) is 39 units.
Stephan read
that 62 out of
every
75 children prefer
pepperoni pizza. There are
375 children in Stephan's
school. How many children in
Stephan's school prefer
pepperoni pizza?
The total number of children in Stephan's school prefer pepperoni pizza where 375 children in Stephan's school is 310.
What is equivalent ratio?Equivalent ratio is the ratio which is same in the value as the original ratio, but the numerator and denominator is different for both the ratios.
Stephan read that 62 out of every 75 children prefer pepperoni pizza. Thus, the ratio of children who prefer pepperoni pizza to the total children is,
[tex]n=\dfrac{62}{75}\\[/tex]
Let suppose there are x children in Stephan's school prefer pepperoni pizza. There are 375 children in Stephan's school. The ratio of children who prefer pepperoni pizza to total 375 children is,
[tex]\dfrac{x}{375}[/tex]
Both the above ratio are for the same condition, and are equivalent ratio. Thus,
[tex]\dfrac{x}{375}=\dfrac{62}{75}\\x=\dfrac{62}{75}\times375\\x=310[/tex]
Thus, the total number of children in Stephan's school prefer pepperoni pizza where 375 children in Stephan's school is 310.
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Mr. Tricorn’s class measured the lengths of crayons. How many crayons did they measure? Use the live plot
Answer:
Length =5cm
Step-by-step explanation:
When there's a problem ask
simplify (x^5)(y^7)(x^9)(y^2)
Answer:
x^14 y^9
Step-by-step explanation:
Add the exponent of the x's
(x^5) + (x^9) = x^14
Add the exponent of the y's
(y^7) + (y^2) = y^9
You can't combine different varibles so your answer will be x^14 y^9
A student usually saves $20 a month. He would like to reach a goal of saving $350 in 12 months. The student writes the equation
350 = 12 (x+20) to represent this situation. Solve the equation for a.
• Show your work or explain your answer.
.
• Write your answer as a sentence that describes what the variable a represents.
bedst to fo0:1
Enter your answers and your work or explanation in the box provided.
in the
MWODWORE MOITUJOS
bno show alorios
in nor
Answer:
9.16
Step-by-step explanation:
350 = 12 (x + 20)
350 = 12x +240
350 = 12x +240
-240 -240
110 = 12x
_______
12
9.16 or 9.17 = x
Please find the area of the figure.
Could someone explain how to count the little bits?
Answer:
√250 + 2 = 5√10 + 2
Step-by-step explanation:
1. refer to image attached
2. split the area into a rectangle and triangle (see red line)
3. find the area of the triangle
a. find the base (2)
b. find the height (2)
area = base * height / 2 = 2 * 2 / 2 = 2
4. find the area of the rectangle
a. find the width
the width can be found from the right triangle at the top right. the height is 2 and the bottom leg is 1, so using the pythagorean theorem, the hypotenuse, which is the width of the triangle, equals
√(2²+1²) = √5 as our width
b. find the length
given the top right triangle, we have a height of 5 and another leg length of 5, so the length = √(5²+5²) = √50
the area of the rectangle is thus √50 * √5 = √250
4. the area is thus the two areas added up, or √250 + 2
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?
a^2-9ab+3ab^2
Sure hope this helps you
Which of the equations below could be the equation of this parabola?
Choose the best answer. A rational number is a number that can be written as
• A. a fraction where the numerator and denominator are integers
O B. a product of two integers
• C. a sum of two integers
• D. a difference of two integers
Answer:
A
Step-by-step explanation:
Give some examples like
2/3
If A ≠ 0 and B = 0 in a linear equation of the form Ax + By = C, then which statement is also true?
A. The graph of this equation is a horizontal line.
B. The graph of this equation is a vertical line.
C. The graph of this equation is a slanted line.
D. The graph of this equation can be any straight line.
Considering the given linear equation, it is found that the correct statement is given by:
B. The graph of this equation is a vertical line.
What is the given linear equation?It is:
Ax + By = C
Considering that A ≠ 0 and B = 0, the expression is represented by:
Ax = C
x = C/A.
Which means that the graph is a vertical line, hence option B is correct.
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Elaina has to congruent rugs at her house she cut one vertically down the middle and she cut diagonally though the other one after making the cuts which rug has the lager area i need the answer fast
Answer:
All of the rugs are the same size after making the cuts. The vertical line goes down the center of the rectangle, making two congruent parts. The diagonal line also splits the rectangle into two congruent parts because the area of a right triangle is exactly half the area of the rectangle.
Step-by-step explanation:
one-half the total of six times a number n and thirty-eight?
3n+19
Explanation:
(1/2)(6n + 38)
Find the volume of the sphere with r = 9 to the nearest hundredth. Use
3.14 to represent pie.
Answer:
3,052.08
Step-by-step explanation:
Formula for sphere: (4/3)(pi)(r^3)
Filled in: (4/3)(3.14)(729)
Calculated: 3,052.08