The possible outcomes for tossing a coin four times are shown below.
If a coin is tossed four times, what is the probability of getting exactly three heads?
A. 1/3
B. 1/2
C. 1/4
D. 1/8
Step-by-step explanation:
I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
On their vacation, the Lupines stay at a hotel that
has a rectangular swamp for a swimming pool. The
swamp has a perimeter of 124 feet. The length is
10 feet less than 5 times its width. What are the
length and width of the swamp?
Step-by-step explanation:
Given :-
Let width be x and length be 5x - 10 according to the questionTo find:-
Measurement of length and widthSolution :-
Formula for perimeter of rectangular swamp = 2(L+W)
Putting the known values ,124 ft. = 2( 5x -10 + x )
124 ft. = 2(6x - 10)
124 ft. = 12x - 20
124+20 = 12x
144/12 = x
12 = x
putting the values of x
Length = 5x-10
5×12 - 10 = 50 feetwidth = X
12 feet
perimeter =2L+2W or 2(L+W)
124= 2(5W-10+W)
perimeter =2( 6W-10)
124 = 12W-20
124+20=(12W+20-20
144=12W
144÷12=12W÷12
12=W
If you bought a T-bill for $99.44 and held it for 180 days, what would be your return?
Answer:
about 1.14%
Step-by-step explanation:
Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:
I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.
__
Here, we have ...
(100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year
0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r
Your return would be about 1.14%.
Mr. Williams buys 12 gallons of ivory paint to paint the exteriors of his home. How much does one gallon of paint cost, if he billed a total of $304.80 for his purchase?
Answer:
$25.40
Step-by-step explanation:
Find the unit price. So what you do is just divide 304.80 by 12 to get the price of one which comes out to be $25.40
Need help answering this
Robin has a basket that has 2 oranges in it
and 5 apples. What is the probability that she
chooses 3 oranges in a row with replacement.
Answer:
it is very high because
Step-by-step explanation:
5-2+3 so maybe it a subtraction problem hope this works
What is the area of the figure?
To solve the area of a complex shape
⇒ best split the shape into smaller regular shapes
⇒ let's split this one into
⇒the rectangle that has a length of 7cm and width of4 cm
⇒ and a pentagon that has a height of 8cm and the two bases of
length 7cm and 19 cm
Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]
Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]
b1: length of one of the bases ⇒ 7cmb2: length of the other base ⇒ 19cmh: length of the height ⇒ 8 cmArea of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]
Total Area = Area of Rectangle + Area of Pentagon
= 104 + 28 = 132[tex]cm^2[/tex]
Hope that helped!
Sam, Luke and Laura are shopping for sporting equipment
Sam buys 4 tennis balls and 12 golf balls for a total of £19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50
Laura buys 2 tennis balls and 4 gold balls
By forming two equations and solving them, find how much Laura pays for the 2 tennis balls and 4 golf balls.
Base on the equation, the amount Laura pay for 2 tennis balls and 4 golf balls $8
How to form and solve equations?
Sam buys 4 tennis balls and 12 golf balls for a total of £19.
let
x = price of each tennis ball
y = price of each golf ball
Hence,
4x + 12y = 19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50. Hence,
6x + 10y = 22.50
Combine the equation
4x + 12y = 19
6x + 10y = 22.50
6x + 18y = 28.5
6x + 10y = 22.50
8y = 6
y = 6 / 8
y = $0.75
6x + 10(0.75) = 22.50
6x + 7.5 = 22.50
6x = 22.50 - 7.5
6x = 15
x = 15 / 6
x = $2.5
The cost when Laura pays for 2 tennis balls and 4 golf balls is as follows:
2(2.5) + 4(0.75) = 5 + 3 = $8
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Please help me
10 points
Answer:
113.04cm^2
Step-by-step explanation:
The area of a circle is pi * r^2
pi=3.14
So 6^2 is 36
36*3.14=113.04
Hope it helps!
2/5 = 1/2x how would i solve this
[tex]\dfrac 25 = \dfrac 12 x\\\\\implies x = \dfrac{2 \times 2 }5 = \dfrac 45[/tex]
What is the area of this figure?
Answer:
Area=length×width
=12m×15m
=180m
so,the area is 180.
hope it helps!
please help.. no links
Answer:
Its 9.0 units
Step-by-step explanation:
For the side mostly to the left, its gonna be 3 units, since we can easlily count it
Now, for the diagonals, we have to use the formula for the area of a triangle, which is (l * w) / 2 = a.
For the bottom side, its 3 along the x axis and 1 along the y axis. 3 * 1 is 3, now divide that by 2 and you got 1.5
Now, for the right side, its 5 on the y, 1 on the x. Multiply 1 by 5, you got 5. Now divide that by 2 and you have 2.5
Finally, for the top side, its 4 on the x, and 1 on the y. 4 * 1 is 4, divided by 2 and its 2.
Alright, now we have to add 'em all together. 3 + 1.5 + 2.5 + 2 is 9 units
Theres your answer :)
help!
Can you please give me the area of this. I would really like it.
Answer:
The answer is 340 ft²
To find the total area we make two squares and a big rectangle.
1st square
3x5=15
2nd square
5x5=25
Rectangle
20x15=300
Total Area
15+25+300 = 340ft²
What is the length of this rectangular prism?Is it 5 or 3 or 6 or 2
noah saved $47 in june, $36 in july, and $27 in august. Then noah spent $18 on school supplies and $36 on new clothes. How much money does noah have left?
Which distribution has the greatest spread? A. distribution 1 B. distribution 2 C. distribution 3 D. distribution 4
Answer:
D I think so
Step-by-step explanation:
HOPE IT HELPS
Circumference of the circle
Answer:
r=14/2
r=7
[tex]circumference = 2\pi {r}\\ = 2 \times \frac{22}{7} \times 7 \\ = 44[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex] \qquad \tt \dashrightarrow \: \pi{d}^{} [/tex]
where, d = diameter
Now, let's calculate it ~
[tex] \qquad \tt \dashrightarrow \: c = 14\pi{}^{} [/tex]
That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14
[tex] \qquad \tt \dashrightarrow \: c = 14 \times 3.14{}^{} [/tex]
[tex] \qquad \tt \dashrightarrow \: c = 43.96 \: \: m[/tex]
[tex] \qquad \tt \dashrightarrow \: c \approx 44 \: \: m[/tex]
Martin is saving money to buy a new phone that costs $1,000 by selling trees. He is using an app to manage his
sales, but it keeps a fraction of each sale. His net pay is modeled by the function P(x) = x2 + 20x– 196, where x
represents the number of sales. How many sales does Martin need to make to earn $1,000?
Answer: 26 sales
Step-by-step explanation:
If you plug in 26 you will get exactly $1,000
Martin needs to sale 8 pieces to make it $1000.
How to elaborate the problem ?
Martin has to save $1000.
He is using an app to manage all the sales, but if keeps fraction of every sales.
The equation which represents his net pay is P(x)=[tex]x^{2}+20x-196[/tex]
How many sales does martin need ?We have to solve the given quadratic equation.
Here, x= (-b±[tex]\sqrt{ b^{2}-4ac }[/tex])/2a
⇒ x= (-20±[tex]\sqrt{400+4*196}[/tex])/2
⇒ x= (-20±[tex]\sqrt{1184}[/tex])/2
⇒ x= -10±[tex]\sqrt{296}[/tex]
⇒ x= -10±17.2
We habe to take the maximum value of x. So we neglect the negative sign.
Hence, x= -10+17.2 = 7.2 = 8 (approx) ,here we can not take 7 because if he sales 7 pieces then the money should less than $1000.
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-12d^2 + -40d^2
----
neg or positive outcome?
Answer: Its negetive. The answer is -52d^2
Hope this helped you!
Answer:
negativeStep-by-step explanation:
[tex]-12\ d^{2}+-40\ d^{2} = -12\ d^{2}-\ 40\ d^{2} = -52\ d^{2}[/tex]
Since −52 is negative and d² is always positive for any number d
Then ,their product −52 d² is negative .
Write the word sentence as an inequality. A number y minus 1/2 is no more than −3/2 .
Answer:
y - 1/2 ≤ -3/2
Step-by-step explanation:
y minus 1/2
y - 1/2
is no more than means is less than or equal to ≤
y - 1/2 ≤ -3/2
(PLEASE HELP DUE TODAY!!!!!!!!!!!!!!!!!1) Did you know that 1000 can be written as the sum of the 5 consecutive positive integers beginning with 198? That is,1000=198+199+200+201+202 Also, 1000 can be written as the sum of 16 consecutive positive integers beginning with 55. That is,1000=55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70 It is also possible to write 1000 as a sum of 25 consecutive positive integers. This is the maximum number of consecutive positive integers that could be used to create the sum. Determine the smallest of the positive integers in this sum. Explain or show how you got your answer.
Answer:
Alright! So, the formula is
x+x+1+x+2+x+3+x+4....x+24
You can do 25x+300=1000
25x=700
x=28
WILL GIVE BRAINLIEST!!!!
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils. Without looking, Carlos pulls out 22 pencils. If the pencils were distributed randomly in the bin, how many pencils of each color is it most likely that he picked?
A. 8 red, 7 green, 7 blue
B. 10 red, 7 green, 5 blue
C. 10 red, 8 green, 4 blue
D. 11 red, 6 green, 5 blue
E. 12 red, 6 green, 4 blue
Answer:
E. 12 red, 6 green, 4 blue
Step-by-step explanation:
To find the number of colored pencils for each color, we must find ratios.
480 red: 240 green: 160 blue
Then we divide them to the simplest ratios.
We divide all the numbers by 80.
6 red: 3 green: 2 blue
There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.
12 red: 6 green: 4 blue
The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.
Without looking, Carlos pulls out 22 pencils.
The pencils were distributed randomly in the bin.
To find the numbers of pencils of each color:
First, we will find the ratio.
Red : Green : Blue
= 480 : 240 : 160
We will factor out the common factor,
= 12: 6: 4
Therefore, 12 red, 6 green, 4 blue are the pencils of each color.
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HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME
Answer:
152 sq in
Step-by-step explanation:
Surface area just means to find the area of all of the sides of a shape. This triangular prism has been flattened so you can see both bases (triangles) and all three lateral sides (rectangles)
Area of a triangle is:
A = 1/2 b•h
= 1/2 •8•4
= 16
There are 2 of these triangles.
A_bases = 32
Then there are 3 rectangle sides, area of a rectangle is:
A = l × w (or b•h)
6 × 5 = 30
6 × 8 = 48
6 × 7 = 42
Add up all the areas.
32 + 30 + 48 + 42
Total surface area is:
A = 152 sq in
Answer:
152
Step-by-step explanation:
7. An 18-foot long ramp is placed at a loading
dock that is 5 feet above ground. How far is
the bottom of the ramp from the dock?
17.29162
Step-by-step explanation:[tex]\sqrt{18^2-5^2}[/tex]
__________________________________________
Evaluate the equation/expression:[tex]17.29162[/tex]
I hope this helps you
:)
PLEASE HELP ASAP DUE TOMORROW
The area of the shaded part of the given figure is 60 square inches'
How to calculate the area of a composite shape.The given figure is made up of a rectangle and 2 similar triangles
Area of the shaded part = Area of rectangle + area of 2 triangles
From the figure
Area of rectangle = 12 * 4 = 48 square in
Area of one triangle = 0.5(6)(4) = 12 square in
Area of the figure = 48 + 12
Area of the figure = 60 square inches'
Hence the area of the shaded part is 60 square inches.
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Simplify the expression 20+6k-14+k WILL MARK BRAINLIEST
Answer:
7k + 6
Steps:
Subtract the numbers 20+6k-14k+k
6+6k+k
Combine the terms:
6+6k+k
6+7k
Rearange terms:
6+7k
7k+6
Solve the inequality: 3 < -5X+2X
Answer:
Inequality Form:
X< −1
Interval Notation:
(−∞,−1)
Step-by-step explanation:
Answer:
[tex]x < -1[/tex]
Step-by-step explanation:
First you need to combine the like terms -5x and 2x to get [tex]3 < -3x[/tex]
Then, you need to devide both sides by -3 to get [tex]-1 < x[/tex] , but because the factor is negative, we flip the relation to get [tex]x < -1[/tex]
a spinner has 8 congruent sectors: 6 yellow and 2 green. the radius of the spinner is 5cm. what is the area of the yellow sector.
Area of the yellow sector is 58.91 cm2
The spinner has a circular shape and would be solved as a circle.
Area of a circle = pi r^2
= 3.142 * 5^2
= 78.55 cm2
The circle is divided into 8
78.55 / 8 = 9.8188
Area of 6 parts = 6 * 9.8188
= 58.9128 cm2
Write a formula that describes the value of an initial investment of $4000 that loses value at a rate of 10% per year, compounded six times per year.
since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.
[tex]~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}[/tex]
[tex]A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}[/tex]
Solve (2x + 1) (2x + 6) - 7(x - 2) = 4(x + 1)(x - 1)-9x
Answer:
x is equal to -34/16
Step-by-step explanation:
Hey there!
In order to solve for x, we need to first simplify everything
After simplifying, it will look like this:
[tex](4x^2+14x+16)-7x+14=4x^2-4-9x[/tex]
Now you can simplify by combining like terms
[tex]4x^2+7x+30=4x^2-9x-4[/tex]
You can cross out [tex]4x^2[/tex] from both sides and then simplify even more by again combining like terms
[tex]16x+34=0\\16x=-34\\x=-34/16[/tex]
So x is equal to -34/16
To solve the given equation, let's simplify and expand both sides:
[tex]\displaystyle\sf (2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)-9x[/tex]
Expanding the brackets:
[tex]\displaystyle\sf (4x^{2}+13x+6)-7x+14=4(x^{2}-1)-9x[/tex]
Simplifying further:
[tex]\displaystyle\sf 4x^{2}+13x+6-7x+14=4x^{2}-4-9x[/tex]
Combining like terms:
[tex]\displaystyle\sf 4x^{2}+6x+20=4x^{2}-9x-4[/tex]
Subtracting [tex]\displaystyle\sf 4x^{2}[/tex] from both sides:
[tex]\displaystyle\sf 6x+20=-9x-4[/tex]
Bringing all the variables to one side and the constants to the other side:
[tex]\displaystyle\sf 6x+9x=-4-20[/tex]
[tex]\displaystyle\sf 15x=-24[/tex]
Dividing both sides by [tex]\displaystyle\sf 15[/tex] to solve for [tex]\displaystyle\sf x[/tex]:
[tex]\displaystyle\sf x=-\frac{24}{15}[/tex]
Simplifying the fraction:
[tex]\displaystyle\sf x=-\frac{8}{5}[/tex]
Therefore, the solution to the equation is [tex]\displaystyle\sf x=-\frac{8}{5}[/tex].
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]