The probability of not choosing the solid color tie by David's Wife will
be [tex]\frac{2}{3}[/tex].
What is Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Number of solid Color ties= 4Number of cartoon ties= 3Number of stripped ties= 5
Total Number of ties= 4+3+5 =12
Probability of not choosing the solid color tie
=[tex]\frac{Total\; ties- \; Number\; of \;Solid\; ties}{Total\; number \;of \;ties}[/tex]
=[tex]\frac{12-4}{12}[/tex]
= [tex]\frac{8}{12}[/tex]
=[tex]\frac{2}{3}[/tex]
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2. Find the coordinate of A(-4, 6) after it has been rotated 90 degrees counterclockwise, reflected over the x-axis, and dilated by a scale factor of 2.
The new coordinates of A is (-12,8)
What is Dilation ?To dilate something in the coordinate plane, multiply each coordinate by the scale factor. This is called mapping.
For any dilation the mapping will be (x,y) → (kx,ky).
Convert the point (x, y) to (-y, x) in order to rotate 90 degrees counter clockwise.
The given point is A(-4 ,6) ,after it has been rotated the new coordinates are A(-6,-4)
After reflecting it over x axis the new coordinated will be (-6,4)
Then dilating it with a scale factor of 2
The new coordinates of A is (-12,8)
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WILL MARK BRAINIEST
The average of the first three numbers were was six the average of the next 7 numbers was 19 what was the overall average of the 10 numbers
Answer:
3 1 4 7 9 3 8
Step-by-step explanation:
1/4×___=5
fill in the blank.
Answer:
20
Step-by-step explanation:
5x4=20 5 is one quarter of 20
Answer:
[tex] \frac{1}{4} \times 20 = 5 \\ [/tex]
Find the value of the trigonometric function 2sin 30 degree/cos 30 degree. Round your answer to four decimal places. 2 sin 30 degree/cos 30 degree=
Answer:
Step-by-step explanation:
The value of the given trigonometric function is 1.1547.
Trigonometric RatiosThe main trigonometric ratios are: sinβ, cosβ and tg β. From these ratios, you can calculate other trigonometric ratios such as sec β, cossec β and cotg β.
These ratios help you find the angles and the sides of a rectangle triangle.
The question asks [tex]\frac{2 *sin(30)}{cos (30}[/tex], for the angle 30° you have sin=1/2 and cos= [tex]\frac{\sqrt{3} }{2}[/tex].
Thus,
[tex]\frac{2 *sin(30)}{cos (30}=\frac{2 *\frac{1}{2} }{\frac{\sqrt{3} }{2} }=\frac{1}{\frac{\sqrt{3} }{2} }= \frac{2}{\sqrt{3} } =\frac{2\sqrt{3} }{3}=1.1547[/tex]
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f(x) = ax³ + 2x² + bx + c. Given that f(0) = f, f(1) = 4 and f(-2) = 8, find the value of a, b and c.
Answer:
a = -1/6
b = 7/6
c = 1
Step-by-step explanation:
[tex]f(x)=ax^3+2x^2+bx+c\\\\f(0)=a(0)^3+2(0)^2+b(0)+c\\\\1=c[/tex]
[tex]f(1)=a(1)^3+2(1)^2+b(1)+1\\\\4=a+2+b+1\\\\4=a+b+3\\\\1=a+b\\\\1-b=a[/tex]
[tex]f(-2)=(1-b)(-2)^3+2(-2)^2+b(-2)+1\\\\8=-8+8b+8-2b+1\\\\8=6b+1\\\\7=6b\\\\\frac{7}{6}=b[/tex]
[tex]1-b=a\\\\1-\frac{7}{6}=a\\ \\-\frac{1}{6}=a[/tex]
So, the true equation would be [tex]f(x)=-\frac{1}{6}x^3+2x^2+\frac{7}{6}x+1[/tex] if you substitute the coefficients and the constant.
Please help!!!!!!!!!
Answer:
option d -1 is the answer
Answer:
I think C (19) might be wrong though
If the area of a circle is 4(pi), what is
its radius?
Answer:
radius=2cm
because area =πr²
π2²=4π
hope this helps
please give me brainliest
CL 1-146. Solve for the variable(s) in each triangle below. a. 15,20, and 15.
The variable(s) in each triangle below 9, 12 and 16.
What is Area of Triangle?The basic formula to find the area of a triangle is, area of triangle = 1/2 (b × h); where 'b' is the base and 'h' is the height of the triangle.
Let the base of the triangle be 15.
So, the area is:
Area= 1/2*b*h
= 1/2*15*20
= 150.
Let the base of the triangle be 25.
So, the area is:
Area= 1/2*b*h
150= 1/2*25*h
= 300/25
h =12
Now, using Pythagoras Theorem
15²= h²+x²
15²=12²+x²
225-144= x²
x²= 81
x=±9
Now, x+y=25
y=16
Thus , values are 9,12 and 16.
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The Wilson family purchased a home for $140,000. The housing market has increased in value by 6.2% every year. Determine an equation that would represent what the house would be valued at in the next six years.
PLease Help its a math problem !!! Which statement is true based on the table below?
Answer:
slope of f(x) is 3Step-by-step explanation:
Slope of f(x) :
m = 4 - 1 / -2 + 3m = 3/1m = 3CorrectY-intercept of g(x) :
when x = 0y-intercept is 1Wrongg(x) is an exponential function ⇒ Wrongf(x) is a linear function ⇒ Wrong
The 1st option is correct.
An ordered pair that makes a linear equation true is called a?
Answer:
the solution of the equation.
Step-by-step explanation:
Zoe is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
15 ft
12 ft
12 ft
17 ft
13.89 ft
13.89 ft
What is the surface area of the box, in square feet, that Zoe
decorates?
The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
The surface area of the boxTo determine the surface area from the net of the box, we simply calculate the area of each shape.
From the given figure, we have the following shapes and dimensions:
Rectangles: 15 ft by 12 ft and 13.89 ft by 15 ftTriangle: Base = 12 ft and Height= 7 ftThe area is then calculated using:
Area = Areas of the rectangle + Area of the triangle
So, we have:
Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7
Evaluate the sum of products
Area = 430.35
Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
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Answer:577.35 square feet
Step-by-step explanation:
♀️
a cylindrical pipe is 36 ft long and has a volume of 100ft. find its approximate diameter to the nearest hundredth of a foot
Answer:
0.940
Step-by-step explanation:
100 = 36 x pi x r^2
now divide both sides by 36pi
r^2 = 0.88419412...
then square root both sides
r = 0.94031597...
A motorist travels 122 km before his first stop. If he had 10% of his journey to complete at this point, how long was the total ride
Answer:
233km
Step-by-step explanation:
PLease HELP ASAP!!! READ THE QUESTION CAREFULLY
Answer:
1/3
Step-by-step explanation:
Doctors can use radioactive chemicals to treat some forms of cancer. The half life of a certain chemical is 5 days. A patient receives a treatment of 28 millicuries of the chemical. (A millicurie is a unit of radioactivity.) How much of the chemical remains in the patient 10 days later?
Answer:
7 millicuries
Step-by-step explanation:
A period of 10 days is 2 times the half-life of 5 days.
In the first 5 days, the amount of the chemical decayed by half from 28 millicuries to 14 millicuries. In the next 5 days, it decayed by half again, from 14 millicuries to 7 millicuries.
10 days later, 7 millicuries of the chemical remains.
45 POINTS & BRAINLIST -- PLEASE HELP
Convert the following functions.
A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.
B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit**
Answer:
45 POINTS & BRAINLIST -- PLEASE HELP
Convert the following functions.
A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.
B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit
Step-by-step explanation:
45 POINTS & BRAINLIST -- PLEASE HELP
Convert the following functions.
A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.
B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit
Help me on this please!
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &25\\ r=rate\to 300\%\to \frac{300}{100}\dotfill &3\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=25(1 + 3)^{x}\implies A=25(4)^x~\hfill f(x)=25(4)^x[/tex]
4 is really 1 + 3, namely the growth rate is 300/100 or 300%.
so the quantity today, is 300% more than yesterday, so whatever it was yesterday plus three times that much, so the quantity is 4 times as large as yesterday's.
(9-5+X)+ (39+211)
whats the Solution?
Answer:
254 + xStep-by-step explanation:
(9-5+X)+ (39+211)
whats the Solution?
(9 - 5 + x) + (39 + 211) =
4 + x + 39 + 211 =
254 + x
Answer:
254 + x
Step-by-step explanation:
(9 - 5 + x) + (39 + 211) =
4 + x + 39 + 211 =
254 + x
Hope this helps
:)
PLEASE HELP!
Before you answer:
-No spam (Will be reported)
-No incorrect answers (Will be reported)
-Correct answers and explanations will be mark as BRAINLIEST
Answer:
Step-by-step explanation:
Sphere:1) a) r = 7 cm
[tex]\sf \boxed{\text{Volume of sphere=$\dfrac{4}{3}\pi r^3$}}[/tex]
[tex]\sf =\dfrac{4}{3}*3.14*7*7*7\\\\= 1436 \ cm^3[/tex]
[tex]\sf \boxed{\text{\bf Surface area of sphere = $4\pi r^2$}}[/tex]
= 4*3.14 * 7 * 7
= 615.44 cm²
b) r= 8.4 cm
[tex]Volume = \dfrac{4}{3}\pi r^3[/tex]
[tex]\sf =\dfrac{4}{3}*\dfrac{22}{7}*8.4*8.4*8.4\\\\= 2483.7 \ cm^3[/tex]
Surface area = 4*3.14*8.4*8.4
= 887.04 cm²
Hemisphere:a) r = 6 cm
[tex]\sf \boxed{\text{\bf Volume of hemisphere =$\dfrac{2}{3} \pi r^3$}}[/tex]
[tex]\sf =\dfrac{2}{3}*3.14*6*6*6\\\\= 452.16 \ cm^3[/tex]
[tex]\sf \boxed{\text{\bf Surface area of hemisphere=3 \pi r^2}}[/tex][tex]\sf \boxed{\text{\bf Surface area of hemisphere = $3 \pi r^2$}}[/tex]
= 3 * 3.14 * 6 * 6
= 339.12 cm²
Two parallel wires are separated by 0. 06 m, each carrying 3 a of current in the same direction. What is the magnitude of the force per unit length between the wires?
The magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].
What is the magnitude of the force?In a wire carrying a current I 2, the force that each wire feels due to the presence of the other depends on the distance between them and the magnitude of the currents.
Force per unit length = magnetic permeability * (current 1) * (current 2) / (2 π distance between the wires).
The below expression for the force per unit length.
Moreover, before using the below formula we have to change the unit centimeter into a meter. So, we just divide the centimeter by 100.
[tex]\rm \dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06[/tex]
Substitute all the values in the formula
[tex]\rm\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06\\\\ \dfrac{Force}{length}=\dfrac{4\pi \times 10^{-7} \times 3 \times3}{2\pi \times 0.06}\\\\ \dfrac{Force}{length}= 3 \times 10^{-5} N/m[/tex]
Hence, the magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].
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PLS ANSWER WITH EXPLANATION!!!!!!! 50 points and brainliest for best answer!!!!1
Theresa uses a unique box in the shape of a trapezoidal prism for her specialty candles. The area of the base of the box for the smaller candle is 125 cm2 and the box is 12 cm tall. The box used for the larger candle has a base whose area is 160% that of the smaller box, and it is 6 centimeters taller.
What percent of the volume of the smaller box is the volume of the larger box?
Answer:
Answer:
82cm
Step-by-step explanation:
The volume of the larger box is 240% that of the volume of the smaller box.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables
Volume of smaller box = area of base * height = 125 cm² * 12 cm = 1500 cm³
Volume of larger box = area of base * height = (1.6 * 125 cm²) * (12 + 6) cm = 3600 cm³
Ratio of volume = 3600/1500 = 2.4 = 240%
The volume of the larger box is 240% that of the volume of the smaller box.
Volume of the smaller box
Area of base ×Height125(12)1400cm³Area of base of larger box
160% of 1251.6×125200cm²Volume
200(6)1200cm³Percentage
1400/1200×100116.67%How do I Factorise X^2 - 25
To Factorize Something:
⇒ means to put it into the simplest terms that when multiplied
together transforms into the original form
Let's Solve:
[tex]x^2-25=(x+5)(x-5)[/tex]
Let's Check:
[tex](x+5)(x-5)=x*x+(-5)x+5x-25=x^2-5x+5x-25=x^2-25[/tex]
Answer: (x+5)(x-5)
Hope that helps!
Answer:
(x + 5)(x - 5)
Step-by-step explanation:
[tex]x^2-25[/tex]
[tex]=x^2-5^2[/tex]
[tex]x^2-5^2=\left(x+5\right)\left(x-5\right)[/tex]
[tex]=\left(x+5\right)\left(x-5\right)[/tex]
i will give you 100 points HELp
Answer:
CD ≈ 26.0 cm
Step-by-step explanation:
using the sine ratio in right triangle ABD
sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BD}[/tex] = [tex]\frac{12}{BD}[/tex] ( multiply both sides by BD )
BD × sin35° = 12 ( divide both sides by sin35° )
BD = [tex]\frac{12}{sin35}[/tex] ≈ 20.92 cm
using the sine rule in Δ BCD
[tex]\frac{BD}{sinC}[/tex] = [tex]\frac{CD}{sinB}[/tex] , that is
[tex]\frac{20.92}{sin52}[/tex] = [tex]\frac{CD}{sin102}[/tex] ( cross- multiply )
CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )
CD = [tex]\frac{20.92sin102}{sin52}[/tex] ≈ 26.0 cm ( to 3 significant figures )
Answer:
CD = 26.0 cm (3 sf)
Step-by-step explanation:
Sine Rule for side lengths
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Find length BD:
[tex]\implies \sf \dfrac{AB}{\sin ADB}=\dfrac{BD}{\sin BAD}[/tex]
[tex]\implies \sf \dfrac{12}{\sin 35^{\circ}}=\dfrac{BD}{\sin 90^{\circ}}[/tex]
[tex]\implies \sf BD=\dfrac{12\sin 90^{\circ}}{\sin 35^{\circ}}[/tex]
[tex]\implies \sf BD=20.92136155...cm[/tex]
Find length CD:
[tex]\implies \sf \dfrac{BD}{\sin BCD}=\dfrac{CD}{\sin DBC}[/tex]
[tex]\implies \sf \dfrac{20.921...}{\sin 52^{\circ}}=\dfrac{CD}{\sin 102^{\circ}}[/tex]
[tex]\implies \sf CD=\dfrac{20.921...\sin 102^{\circ}}{\sin 52^{\circ}}[/tex]
[tex]\implies \sf CD=25.96941667...cm[/tex]
Therefore, CD = 26.0 cm (3 sf)
earth makes one full rotation on its axis in a day how long does it take for it to rotate 150 degrees
Earth rotates one full rotation a day
360° in 3600sSo
It rotates 1° in
3600/360=10sIt rotates 150° in
150(10)1500sThe children at Farmfield School are collecting money for charity.
Their target is to collect £360
So far they have collected £57.73
How much more money do they need to reach their target?
The rectangular prism below has a base area of 44.3 units2 and a volume of 221.5
a
units. Find its height.
[tex]base \: area = 44.3 \: {units}^{2} [/tex]
[tex]volume = 221.5 \: {units}^{3} [/tex]
To find:the height of the given rectangular prism.
Solution:[tex]volume= base \: area \times height[/tex]
[tex]height = \frac{volume}{base \: area} [/tex]
[tex]height = \frac{221.5}{44.3} [/tex]
[tex]height = 5 \: units[/tex]
Therefore, the height of the given rectangular prism is 5 units.
The value of height of rectangular prism is,
⇒ h = 5 units
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The rectangular prism below has a base area of 44.3 units² and a volume of 221.5 units³.
Since, The volume of rectangular prism is,
⇒ V = Base area x height
⇒ 221.5 = 44.3 × h
⇒ h = 221.5 / 44.3
⇒ h = 5 units
Thus, The value of height of rectangular prism is,
⇒ h = 5 units
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Which statements are true about a histogram with one-minute increments representing the data? select three options. a histogram will show that the mean time is approximately equal to the median time of 7.5 minutes. the histogram will have a shape that is left-skewed. the histogram will show that the mean time is greater than the median time of 7.4 minutes. the shape of the histogram can be approximated with a normal curve. the histogram will show that most of the data is centered between 6 minutes and 9 minutes.
If a histogram has one-minute increments representing the data, we will see that:
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutesThe shape of the histogram can be approximated with a normal curve.The histogram will show that most of the data is centered between 6 minutes and 9 minutes.What will the histogram show?If there are is a histogram which has one-minute increments to represent the data, the shape will be that of a normal curve thanks to most data being between the 6 and 9 minute mark.
The fact that the histogram will have a normal curve means that the mean will be approximately equal to the median because the mean and median are usually equal for normal distributions.
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Answer:
If a histogram has one-minute increments representing the data, we will see that:
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
Step-by-step explanation:
I don't know pls help
Answer:
125
Step-by-step explanation:
JIK is congruent to MIL so they both equal 55. 360-55=305-55=250. now MIJ and LIK are gonna be equal so you can divide 250 by 2 which gives you 125. if you add them up it equals 360, a full circle! pls give me brainliest!
HELPHELEHEPELEHELPEGELPE
Answer: A= 68 square centimeters
Step-by-step explanation:
A= [tex]B^{1}[/tex] +[tex]B^{2}[/tex]/2 x h
6+11=17
17/2=8.5
8.5 x 8= 68
