Answer:
Closed side up : 5/50
1/50 = open side up
44/50 = landing side
experimental probablity Formula:
no. of times event was conducted/ Total no. of times experiment was conducted.
Let's first start with open side up.
No. times it was conducted was 1.
Total no times experiment conducted: 50 times
1/50 = open side up
Closed side up
No. times it was conducted was 5
Total no times experiment conducted: 50 times
5/50
The same for landing on side :
44/50
Have a wonderful day!!
The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is given as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For the given case, if we name the events for results of tossing of paper cup as:
A = Event of getting open side upB = Event of getting close side upC = Event of that cup landing on sidesThen, as it is given that:
Number of times paper cup was tossed = 50
Number of times A occurred = 1Number of times B occurred = 5Number of times C occurred = 44Thus, their experimental probabilities are obtained as:
[tex]P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\[/tex]
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If you don’t know the answer please don’t answer
Answer:
[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ { \tt{ \sin(55 \degree) = \frac{x}{15} }} \\ x = 15 \sin(55 \degree) \\{ \boxed{ \bf{ x = 12.29 \: }}} \: feet[/tex]
Which statements are true of functions? Check all that apply.
All functions have a dependent variable.
All functions have an independent variable.
The range of a function includes its domain.
A vertical line is an example of a functional relationship.
A horizontal line is an example of a functional relationship.
Each output value of a function can correspond to only one input value.
Answer:
All functions have a dependent variable.
All functions have an independent variable.
A horizontal line is an example of a functional relationship.
Step-by-step explanation:
Simplify this algebraic expression completely
8-y-2(y+4)
A. 6y+4
B.6y-8
C.6y+2
D.6y-4
the answer for your question is A :>
Can some help me with 12 and 13 and 14
Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. (a) What proportion of rods has a length less than 28.9 cm? (b) b) Any rods that are shorter than 24.84 cm or longer than 25.16 cm are discarded. What proportion of rods will be discarded?
Solution :
Given data :
The mean length of the steel rod = 29 centimeter (cm)
The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)
a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).
Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)
= P(z < -1.42)
= 0.0778
b). Any rods which is shorter than [tex]24.84[/tex] cm or longer than [tex]25.16[/tex] cm that re discarded.
Therefore,
P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)
= 1.052
Which of the following is true of the discriminant for the graph below?
Considering that the quadratic equation has no solutions, the discriminant is classified as:
C. Negative.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
If [tex]\mathbf{\Delta > 0}[/tex], it has 2 real solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 real solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.Looking at the graph, the equation has no solutions, hence [tex]\Delta < 0[/tex] and option C is correct.
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9/37 is changed to a decimal. What digit lies in the 2005th place to the right of the decimal point?
Answer:
2
Step-by-step explanation:
Divide 9/37 and you get repeating decimal of 0.243
Divide 2005 by 3 because the decimal repeats 3 numbers
You will get reminder of 1 from dividing 2005 by 3
Move 1 place from the decimal point and you get 2
Thank you so much for your help
Answer:
1.1x
Step-by-step explanation:
that is the procedure above
Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.
HELP PLSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!
A : 12x2 - 48x + 21; all real numbers
B: -14x2 + 36x - 18; all real numbers except x = 7
C: 12x2 - 48x + 21; all real numbers except x = 1
D: -14x2 + 36x - 18; all real numbers
Answer:
Step-by-step explanation:
f(x) + g(x) = 2x - 7 - 6x - 3
f(x) + g(x) = -4x - 10
The domain is any real number.
I think you have mixed up the question. None of the choices are correct. They look like they belong to another choice.
It could be f(x)*g(x)
(2x - 7) (-6x - 3)
-12x^2 - 42x - 6x + 32
-12x^2 - 48x + 21
Well it could be either A or C since they are identical.
Introduction to area of a piecewise rectangular figure
Given:
The piecewise rectangular figure.
To find:
The area of the piecewise rectangular figure.
Solution:
Draw a line and divide the given figure in two parts (a) and (b) as shown in the below figure.
Figure (a) is a rectangle of length 5 yd and width 3 yd. So, the area of the rectangle is:
[tex]Area=length\times width[/tex]
[tex]A_a=5\times 3[/tex]
[tex]A_a=15[/tex]
Figure (b) is a square of edge 2 yd. So, the area of the square is:
[tex]Area=(edge)^2[/tex]
[tex]A_b=(2)^2[/tex]
[tex]A_b=4[/tex]
The area of the given figure is:
[tex]A=A_a+A_b[/tex]
[tex]A=15+4[/tex]
[tex]A=19[/tex]
Therefore, the area of the given figure is 19 square yd.
Please need help explanation need it
Answer:
308 m^3
Step-by-step explanation:
The volume is given by
V = l*w*h where l is the length , w is the width and h is the height
V = 7*4*11
V = 308 m^3
- CA Geometry A Illuminate Credit 4 FF.pdf
Answer:
hii
Step-by-step explanation:
If a 750 ml bottle of juice costs £1.90 and a 1 litre bottle of the same juice costs £2.50 then the 750 ml bottle is better value.
Answer:
The 1 liter bottle is better value
Step-by-step explanation:
Cost of 750 ml = £1.90
Cost of 1 liter = £2.50
1000 ml = 1 liter
Cost per 250 ml
750 ml / 3 = £1.90 / 3
250 ml = £0.6333333333333
Approximately,
£ 0.633
Cost per 250 ml
1 liter / 4 = £2.50 / 4
250 ml = £0.625
The 750 ml bottle is not a better value
The 1 liter bottle is better value
What is the period 3 pi and 4 pi
Answer:
i think i know the answer sorry if im wrong but i would say B
Step-by-step explanation:
Which of the following is a correct tangent ratio for the figure? A) tan (24) 76 B) tan(76°) °= 2 C) tan(76°) = D) tan(8") = 24 76
Given question is incorrect; here is the complete question.
"Which of the following is a correct tangent ratio for the figure attached"
A) tan(76°) = [tex]\frac{24}{8}[/tex]
B) tan (76°) = [tex]\frac{8}{24}[/tex]
C) tan (24°) = [tex]\frac{76}{8}[/tex]
D) tan (8°) = [tex]\frac{24}{76}[/tex]
Option A will be the correct option.
From the figure attached,
Given triangle is a right triangle.Measure of one angle = 76°Measure of two sides of the triangle are 24 and 8units.By applying tangent ratio of angle having measure 76°.
tan(76°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{24}{8}[/tex]
Therefore, Option (A) is the correct option.
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Please help!
A line intersects the points (-2, 8) and
(4, 12). Find the slope and simplify
completely.
Help Resource
Slope
[?]
= +
Hint: m =
y2-yi
X2-X1
Enter
Answer:
2/3
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (12-8)/(4 - -2)
(12-8)/(4+2)
4/6
2/3
Determine the period
Answer:
3 units
Step-by-step explanation:
The period of a wave is the time taken to complete a cycle of motion of the wave
In the given figure, the graduations of the x-axis, which is the usually time axis = 1 unit
At the origin, (0, 0), the vertical displacement of the wave = 0
The maximum value of the wave function is between x = 0 and x = 1
The minimum value of the wave function is between x = 2 and x = 3
At the point (3, 0) the value of the wave function is again 0, and a cycle of the wave is completed
Therefore, the period of the wave = 3 units of the x-variable
convert 4 seconds to hour
Answer:
0.00111111 hrs
Step-by-step explanation:
Have a nice day
Answer:
4/3600 = .001111 hr
Step-by-step explanation:
4 seconds * 1 hour * 1 minute = 4/3600 = .001111 hr
60 minutes 60 seconds
Solve. -7x+1-10x^2=0
Answer:
[tex]-7x+1-10x^2=0[/tex]
[tex]-10x^2-7x+1=0[/tex]
[tex]quadratic\:equation:-[/tex] [tex]ax^2+bx+c=0[/tex]
[tex]solutions:-\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]For \\A=-10\\B=-7\\C=1[/tex]
[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}}{2\left(-10\right)}[/tex]
[tex]\sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}=\sqrt{89}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{89}}{2\left(-10\right)}[/tex]
[tex]x_1=\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)},\:x_2=\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}[/tex]
[tex]\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)}=-\frac{7+\sqrt{89}}{20}[/tex]
[tex]\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}=\frac{\sqrt{89}-7}{20}[/tex]
[tex]x=\frac{\sqrt{89}-7}{20}[/tex]
OAmalOHopeO
On Monday morning at 8:00 a.m. the temperature is – 14 o C. Over the
next 6 hours the temperature rises 6 o C. Between 2:00 p.m. on Monday
and 8:00 a.m. on Tuesday the temperature drops 9 o C. Over the next 6
hours the temperature rises only 4 o C. What is the temperature at 2:00
p.m. on Tuesday?
PLS HELP QUESTION ATTACHED
Answer:
A
Step-by-step explanation:
the -1 represents the graph going down by 1
juans pencil box measures 6 cm long. if the length of the diagonal is 10 cm what is the width of the pencil box
Answer:
8 cm
Step-by-step explanation:
We can use the Pythagorean theorem to solve since we have a right triangle
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 +6^2 = 10^2
a^2 +36 = 100
a^2 = 100-36
a^2 = 64
Taking the square root of each side
sqrt(a^2) = sqrt(64)
a =8
Answer:
8 cm
Step-by-step explanation:
Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]
leg a: 6cm
leg b: unknown
hypotenuse: 10cm
Therefore [tex]6^{2} +x^{2} =10^{2} = 36+x^{2} =100[/tex]
Subtract 36 to 100 to isolate the [tex]x^{2}[/tex]. [tex]x^{2} =64[/tex]
Square root both sides and get your answer of 8cm
Show Workings.
Question is in attached image.
Answer:
A.]A chord of a circle of diameter 40 cm subtends an angle of 70° at the centre of the circle.
Solution given;
diameter [d]=40cm
centre angle [C]=70°
(a) Find the perpendicular distance be tween the chord and the centre of the circle.
Answer:
we have
the perpendicular distance be tween the chord and the centre of the circle=[P]let
we have
P=d Sin (C/2)
=40*sin (70/2)
=22.9cm
the perpendicular distance be tween the chord and the centre of the circle is 22.9cm.
(b) Using = 3.142, find the length of the minor arc.
Solution given;
minor arc=[tex]\frac{70}{360}*πd=\frac{7}{36}*3.142*40[/tex]
=24.44cm
the length of the minor arc. is 24.44cm.
B.]In the diagram, XZ is a diameter of the cir cle XYZW, with centre O and radius 15/2 cm.
If XY = 12 cm, find the area of triangle XYZ.
Solution given:
XY=12cm
XO=15/2cm
XZ=2*15/2=15cm
Now
In right angled triangle XOY [inscribed angle on a diameter is 90°]
By using Pythagoras law
h²=p²+b²
XZ²=XY²+YZ²
15²=12²+YZ²
YZ²=15²-12²
YZ=[tex]\sqrt{81}=9cm[/tex]
:.
base=9cm
perpendicular=12cm
Now
Area of triangle XYZ=½*perpendicular*base
=½*12*9=54cm²
the area of triangle XYZ is 54cm².
Answer:
Question 1a)
d = 40 cm ⇒ r = 20 cm
Let the perpendicular distance is x.
Connecting the center with the chord we obtain a right triangle with hypotenuse of r and leg x with adjacent angle of 70/2 = 35°.
From the given we get:
x/20 = cos 35°x = 20 cos 35°x = 16.383 cm (rounded)b)
The minor arc is 70° and r = 20
The length of the arc is:
s = 2πr*70/360° = 2*3.142*20*7/36 = 24.437 cm (rounded)Question 2Since XZ is diameter, the opposite angle is the right angle, so the triangle XYZ is a right triangle.
r = 15/2 cm ⇒ XZ = d = 2r = 2*15/2 = 15 cmFind the missing side, using Pythagorean:
[tex]YZ = \sqrt{XZ^2 - XY^2} = \sqrt{15^2-12^2} = \sqrt{81} = 9[/tex]The area of the triangle:
A = 1/2*XY*YZ = 1/2*12*9 = 54 cm²Calculate the answer to the correct number of significant figures: (1.705 + 0.5067) / (0.2 * 1.243) = ______.
8.897
8.8966
8.9
9
8.90
Answer:
8.9
Step-by-step explanation:
they said to the sig. figure so since it's 8.8966, so the answer will be 8.9
The answer to the correct number of significant figures is 8.897, the correct option is A.
What are Significant Figures?Significant figures is a positional notation, these are the digits that are required to understand the quantity of something.
The expression is
⇒(1.705 + 0.5067) / (0.2 * 1.243)
=2.2117/0.2486
=8.89662
≈ 8.897
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This drawing would be a step in finding which point of concurrency in a triangle?
Answer:
B. Orthocenter
Step-by-step explanation:
The orthocenter of a triangle is the point of intersection of the three altitudes (the perpendicular from a vertex to the side facing the vertex) of a triangle
The steps used in constructing the orthocenter includes the steps for drawing of the perpendicular to the sides of the triangle from a point which is the vertex opposite the side of the triangle
Therefore, in the given diagram, a perpendicular to the side KS is drawn from the (vertex) point W, by drawing an arc with center at W that intersects the side KS at two points. Rom the points of intersection of the arc drawn from W intersects KS, with the compass, two arcs are drawn to intersect at a point from which a line drawn to W, is perpendicular to KS
Therefore;
The correct option is B. orthocenter
True or False?
k = 3 over 4 is a solution to the inequality 12k + 2 < 12.
True
False
Answer:
False.
Step-by-step explanation:
...................
Evaluate the expression 3(5 + 2)(7 - 2) using order of operations.
Answer:
105
Step-by-step explanation:
The order of operations is written as PEMDAS. These letters stand for:
-Parentheses
-Exponents
-Multiplication
-Division
-Addition
-Subtraction
We follow these steps in order to solve expressions efficiently. Now, we are going to use PEMDAS to evaluate the expression 3(5+2)(7-2) step by step.
3(7)(5) The first step is to simplify the numbers in the parentheses.
There are no exponents, so we skip to the next step, multiplication.
(3*7)(5)
21(5)
105
PEMDAS is no longer needed because 105 has come out to be our answer.
I hope this helps you out! Have an an awesome day :3
Help PLEASE eeeeeeeeeeeeeeeee
Answer:
0.6 is the answer please
which statement must be true about line TU?
Answer:
line TU has no slope in the diagram above
Can I know the answer for the above questions
Answer:
Step-by-step explanation:
