Answer: a). 1/8
Step-by-step explanation:
If the coin is fair, then the odds of getting heads or tails should be equal, 12.
Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.
Identify the domain and range of the relation.
x −5 −2 1 5
y 10 11 4 10 what is the function
Answer:
Domain: -5, -2, 1, 5
Range: 10, 11, 4, 10
To get the function, you need to create an equation.
Step-by-step explanation:
For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.
PLEASE HELP ASAP 20 POINTS
Answer:
1. 200
2. 50
Step-by-step explanation:
1. you put 10 over 5 as a proportion with x over 100 on the other side
2. you put 5 over 10 as a proportion with x over 100 on the other side
Prove that cos⁻¹ (12/13) + sin⁻¹ (3/5) = sin⁻¹ (56/65)
Answer:
See below ↓
Step-by-step explanation:
We need to prove :
⇒ cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex] = tan⁻¹ [tex]\frac{56}{65}[/tex]
Let's simplify the LHS.
cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex]Convert the inverse cos and sin functions into inverse tan functions
tan⁻¹ [tex]\frac{5}{12}[/tex] + tan⁻¹ [tex]\frac{3}{4}[/tex][∴This can be found taking a right triangle and labeling the sides, and then using Pythagorean Theorem, we can find the missing side and take the ratio of tan]Identity
tan⁻¹ x + tan⁻¹ y = tan⁻¹ [tex]\frac{x+y}{1-xy}[/tex]Using this identity, we can simplify our earlier equation!
⇒ tan⁻¹ [(5/12 + 3/4)/(1 - (5/12 x 3/4))]
⇒ tan⁻¹ [(20 + 36) / (48 - 15)
⇒ tan⁻¹ (56/65)
⇒ RHS
⇒ Proved ∴√
[tex]\text{L.H.S}\\\\=\cos^{-1} \dfrac{12}{13} + \sin^{-1} \dfrac 35\\\\=\sin^{-1} \dfrac 5{13} + \sin^{-1} \dfrac 35\\\\[/tex]
[tex]=\sin^{-1}\left[\dfrac 5{13}\sqrt{1- \left(\dfrac 35 \right)^2} + \dfrac 35\sqrt{1-\left(\dfrac 5{13} \right)^2} \right]\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{1-\dfrac 9{25} }+\dfrac 35 \sqrt{1-\dfrac{25}{169}} \right)\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{\dfrac{16}{25}}+\dfrac 35 \sqrt{\dfrac{144}{169}} \right)\\\\=\sin^{-1} \left(\dfrac{5}{13} \cdot \dfrac 45 + \dfrac 35 \cdot \dfrac{12}{13} \right)\\[/tex]
[tex]=\sin^{-1} \left(\dfrac 4{13} +\dfrac{36}{65}\right)\\\\=\sin^{-1} \left(\dfrac{20}{65} + \dfrac{36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{20+36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{56}{65} \right)\\\\=\text{R.H.S}[/tex]
Lee says 20% is more than 70% of 70% of 20. Is lee correct?
Answer:
yes
Step-by-step explanation:
75/100×75/100=49/100
49/100×20=8.58.5 % Is more than 20%
Maryam had to sail 4 2⁄3 miles to reach her destination. At the end of the day, she had sailed 3 1⁄3 miles. How far was she from her destination?
1 1⁄3
Step-by-step explanation:
In order to find how far was she from her destination
We substract 4 2⁄3 from 3 1⁄3
=> 4 2⁄3 - 3 1⁄3
=> 1 1⁄3 (Decimal: 1.333333)
Answer:
1 1/3 miles
Step-by-step explanation:
2-1
4 2/3-3 1/3= 1-----------
3
=1 1/3miles
You put the name of all the students in your class in a paper bag. There are 14 boys and 16 girls. If
you draw a name at random, what is P(girl's name)?
A: 7/15
B: 8/7
C: 8/15
D: 7/8
Inscribed angle
Help please
Answer:
x = 3
Step-by-step explanation:
The measure of the inscribed angle is half of measure of the intercepted arc .
Find the half of 192.
192/2 = 96
The inscribed angle is 96°.
Create an equation and solve for x.
31x + 3 = 96
31x + 3 - 3 = 96 - 3
31X = 93
31x/31 = 93/31
x = 3
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
Answer:
1/8
Step-by-step explanation:
●●○•°°°□□●○○○○○••••
In the spinner above, the section labeled *2* is twice as large as each of the sections labeled “3,” “4,”and “5”; the section labeled "1” Is three times as large as each of the sections labeled "3” “4” and “5”About how many times should Larry expect to land on "1"
A. 100
B. 75
C. 40
D. 25
Thank you!
Answer:
B.75
Step-by-step explanation:
What is the solution to h/-24<_18?
Answer:
h ≥ -432
Step-by-step explanation:
h/-24<=18
Multiply though by -24:
h ≥ -24*18
h ≥ -432
Note: the inequality signs flips as we are multiplying both sides by a negative value.
Simplify (3×2-2) + (5×2+5×-1)
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics = }}}}}}}[/tex]
(3×2-2)+(5×2+5×-1)=
(6-2)+(10-5)=
4+5=
[tex] \bf \textcolor{green}{ \underbrace{9}}[/tex]
xLasersx✨[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's simplify ~
[tex]\qquad \sf \dashrightarrow \:(3 \times 2 - 2) + (5 \times 2 + 5 \times ( - 1))[/tex]
Use BODMAS/PEDMAS rule here :
[tex]\qquad \sf \dashrightarrow \:(6- 2) + (10 + ( - 5))[/tex]
[tex]\qquad \sf \dashrightarrow \:4 + (10 - 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:4 + 5[/tex]
[tex]\qquad \sf \dashrightarrow \:9[/tex]
Hope it helps you ~
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
The mean of 5 numbers is 8.four of the numbers are 7,9,11 and 5.find the fifth number.
Answer:
8
Step-by-step explanation:
One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.
When we subtract the mean from the given numbers, we find the differences are ...
-1, 1, 3, -3
The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.
how long will a 100 litre bath run if the water is running at a rate of 12 litres per minute
The perimeter of the figure is 90ft. What is the area.
Additional knowledge: figure is a semi circle, use 3.14 or 22/7 as pi to solve
Answer:
1289.8089172
Step-by-step explanation:
if you do 90 x 2 = 180 you get the circumference of what would be the complete circle, the formula for area with circumference is A = (C^2/4x3.14) so inserting 180, the answer is 2579.61783439, and half of that is a semi circle so 2579.61783439/2 = 1289.8089172
HELP ME PLEASE. THIS IS MY LAST QUESTION THEN I CAN GO TO BED.
Answer:
100.
Step-by-step explanation:
The 2 smaller triangles are similar, so:
48 / (x - 64) = 64 / 48
64(x - 64) = 48^2
x - 64 = 48^2/64
x = 48^2/64 + 64
= 100.
What is the slope of the line that passes through the points (−2,−4) and)(3,−9)? Write your answer in simplest form.
Answer:
The slope is -1
Step-by-step explanation:
Formula for finding slope: [tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1}[/tex]
we got the points:
(−2,−4) and)(3,−9)
let's plug them in.
[-9-(-4)] / [3-(-2)] =
-5 / 5 = -1
I will give you brainlyest and give you points
Answer:
VOL_cone is 70.7
which is LESS THAN
the vol of cylinder. VOL_cyl is 71.6
Step-by-step explanation:
Volume of a cone:
V= (1/3)pi•r^2 • h
=(1/3)pi•3^2 • 7.5
= 70.7 cubic inches
(rounded to tenths this is the same if you use a pi key on the calculator or if you use 3.14)
The Volume of a cylinder:
V = pi•r^2 • h
= pi• 2.25^2 • 4.5
= 71.6 cubic inches
(more accurate with pi key, using 3.14 it rounds to 71.5)
The last blank could be the words "less than" but if they are asking for a fraction or percent, calculate by putting the big number on the bottom and the smaller number on top.
What is the length of a line segment with endpoints 3, 2, and -3, -4, in
the simplest radical form
[tex] \qquad \qquad \qquad\large\overbrace{\underbrace{\underline{ \boxed{ \sf \:Answer }}}}[/tex]
Let's use distance formula :
[tex]\qquad \sf \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {6}^{2} + {6}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {6}^{2}(1 + 1) } [/tex]
[tex]\qquad \sf \dashrightarrow \: 6\sqrt{ 2 } \: \: units[/tex]
Q10.
At work Liv puts apple pies into boxes.
Liv has 42 apple pies.
Each full box has 9 apple pies.
How many full boxes of apple pies does Liv have?
Show how many apple pies are left over.
Show your working and your answers in the box below.
Answer:
He has 4 full boxes
6 Apple pies are leftover
Step-by-step explanation:
42/9 = 4.67 How many full boxes can he fill
9 X 4 = 36 He filled out 4 full boxes
42-36=6 Total - Filled = Remainder
Answer:
she has 4 full boxes of applepies and she has 6 leftover apple pies
Step-by-step explanation:
The following stem-and-leaf plot represents the scores earned by Mr. Wood's class on their most recent science test.
How many of the students scored less than an 85?
10
12
11
9
Answer:
11
Step-by-step explanation:
If you count the total values
it equals 11
PLS no links. Can someone help me with question 2
Answer:
Step-by-step explanation:
take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.
What is the measure of
Answer:
since it goes down a certain way and it goes down then B will go the same way as a evil ghost literally down to the phone the top right to the left like see if I just a little bit shorter Jay will go all the way up to age and we will go to k
Please help correct answer wins crowns
Answer:
Given equation: x + 2y = 7
Rearrange the given equation to make y the subject:
[tex]\sf x + 2y = 7[/tex]
[tex]\sf \implies 2y=7-x[/tex]
[tex]\sf \implies y = \dfrac12(7-x)[/tex]
Now input the given x-values into the equation to determine the y-values:
[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]
[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]
[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]
[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]
[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]
[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]
As ordered pairs: (-2, 4.5) (-1, 4) (0, 3.5) (1, 3) (2, 2.5) (3, 2)
Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.
A cone-shaped lampshade has a height of 18 cm and a slant height of 19.5 cm. Find the lateral surface area of the lampshade.
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}[/tex]
Find the measure of the missing angles. 25 d e f
HELP!! Using the geometric sequence 2,2/3,2/9,. ,2/243, find the approximate sum of the geometric series. Round your answer to the nearest whole number.
Answer choices:
4
3
1
6
we can always get the common ratio of a geometric sequence by simply dividing the current term by the previous term, in this case for the sake of simplicity let's divide 2/3 by 2, so
[tex]\cfrac{2}{3}\div 2\implies \cfrac{2}{3}\div \cfrac{2}{1}\implies \cfrac{2}{3}\cdot \cfrac{1}{2}\implies \cfrac{1}{3}\impliedby \textit{common ratio}[/tex]
so the sequence more or less looks like [tex]2~~,~~\cfrac{2}{3}~~,~~\cfrac{2}{9}~~,~~\cfrac{2}{81}~~,~~\cfrac{2}{243}[/tex]
so we'd want the sum of the first 5 terms
[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio} \end{cases} \\\\\\ S_5=2\left( \cfrac{1~~ - ~~(\frac{1}{3})^5}{1~~ - ~~\frac{1}{3}} \right)\implies S_5=2\left( \cfrac{~~\frac{242}{243}~~}{\frac{2}{3}} \right)\implies S_5=\cfrac{242}{81}\implies S_5=2\frac{80}{81}[/tex]
PLEASE HELP A.S.A.P.!
Solve the equation:
|x-1|+|x-2|=3
The correlation between two scores X and Y equals 0.75. If both scores were converted to Z-scores, then the correlation between the z-scores
for X and z-scores for Y would be
-0.75
0.25
-0.25
0.0
0.75
Answer:
(e) 0.75
Step-by-step explanation:
The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.
The correlation coefficient of the z-scores is 0.75.
NO LINKS PLEASE I NEED ANSWERS
NO LINKS PLEASE
Answer:
10. s = 1.50x
11. s = 28x + 5
Step-by-step explanation:
10. s (money); so multiply x (the amount of pencils) by the price which is 1.50. Which is equal to 112.50.
11. s (money); multiple x (the amount of shoes) by the price, 28, which equals 84. Then add 5 for the shipping. This equals 89.
The chef made 45 pancakes in 6 minutes. How many pancakes did she make in 1 minute?
Answer: 7.5 or 7 1/2
Step-by-step explanation:
Divide 45 divided by 7