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Using the trend line equation, what is the predicted approximate value of y when x= 4.5?
5.12
3.98
3.47
2.75
Answer:
I think the answer is 3.47
Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket? B. Raffle 2: 350 raffle tickets are sold for $2.00 each. There is one grand prize of $150 and three consolation prizes of $50 each. What is the expected value of one ticket?
Answer:
(a) The expected value is: $0.40625
(b) The expected value is: $0.4286
Step-by-step explanation:
Solving (a): Raffle 1
Given
[tex]Tickets=800[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$450[/tex] ---- for 1
[tex]Consolation = \$100[/tex] --- for 2
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 800 * \$2[/tex]
[tex]A_1 = \$1600[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$450 * 1 +\$100 * 2[/tex]
[tex]A_2 = \$450 +\$200[/tex]
[tex]A_2 = \$650[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$650}{\$1600}[/tex]
[tex]E(x) = \$0.40625[/tex]
Solving (b): Raffle 2
Given
[tex]Tickets=350[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$150[/tex] ---- for 1
[tex]Consolation = \$50[/tex] --- for 3
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 350 * \$2[/tex]
[tex]A_1 = \$700[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$150 * 1 +\$50 * 3[/tex]
[tex]A_2 = \$150 +\$150[/tex]
[tex]A_2 = \$300[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$300}{\$700}[/tex]
[tex]E(x) = \$0.4286[/tex]
A recipe for homemade clay calls for 6 cups of water for every 12 cups. How many cups of water are needed when 4 cups of flour are used ?
Answer:
2 cups of clay
Step-by-step explanation:
Given data
we are given that 6 cups of water for every 12 cups of clay
i.e
12 cups of clay require 6 cups of water
4 cups of clay will require x cups of water
cross multiply
12x= 4*6
12x= 24
divide both sides by 12
x= 24/12
x= 2cups
Hence 4 cups of water will require 2 cups of clay
Explain how you can find the side length of a rectangular prism if you are given the volume and the 2 other measurements. Does this process change if one of the measurements is a fraction?
Answer:
The volume of a rectangular prism can be calculated by the formula:
Volume of a rectangular prism = length * width * heightIf the exercise give us the volume and the two other measurements (width and height), we must simplify the length from the formula showed (remember when a value is multiplying in a side to the equal sign, go to the other side to divide):
(Volume of a rectangular prism) / (width * height) = lengthOr, in other form:
[tex]length=\frac{volume}{width*height}[/tex]At last, the proccess change only a little if one is a fraction, in that case, you should just multiply or divide with that fraction.
Step-by-step explanation:
We're gonna take measurements for the volume, width and height to solve a hypothetical exercise:
Volume = 240 [tex]in^{3}[/tex]Width = 4 inHeight = 12 inWe use the formula in the answer:
[tex]length=\frac{volume}{width*height}[/tex]Replacing the data we obtain:
[tex]length=\frac{240in^{3} }{4 in *12in }[/tex][tex]length=\frac{240in^{3} }{48in^{2} }[/tex][tex]length=[/tex] 5 inchesNow, we're gonna make the a hypothetical exercise where a measurement is a fraction, we can select anyone, in this case will be the width:
Volume = 48 [tex]in^{3}[/tex]Width = 8/3 inHeight = 6 inWe use the same formula and replace again:
[tex]length=\frac{volume}{width*height}[/tex]
[tex]length=\frac{48in^{3} }{\frac{8}{3}in *6 in}[/tex][tex]length=\frac{48in^{3} }{16in^{2} }[/tex][tex]length=[/tex] 3 inchesAs you can see, the process does't change much using fractions, you must only know the correct form to operate these.
Help! Please anyone. I need help!
Answer:
Isn't it supposed to put where the number/symbol is.....
Step-by-step explanation:
The minute hand on a clock is 9 centimeters long and travels through an arc of 252 degrees every 42 minutes. To the nearest tenth of a centimeter, how far does the hand travel during a 42-minute period? (Use *insert pi symbol here* to approximate your answer) (Hint:Find the arc length)
Answer:
39.6 cm
Step-by-step explanation:
Applying
s = 2πrθ/360................ Equation 1
Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes
From the question,
Given: r = 9 cm, θ = 252°
Constant: π = 22/7 = 3.14
Substitute these values into equation 1
s = (2×3.14×9×252)/360
s = 39.564
s = 39.6 cm
Please help me??? like im in serious need of help!
Answer:
16 square miles
Step-by-step explanation:
Hope this helped <3
write in standard rorma
y =2/3x-6
Answer:
-2/3x+y=6
Step-by-step explanation:
Standard form is just x+y=n, so all that we have to do it get that x over by subtraction.
Determine the value of x.
Question 9 options:
A)
2
B)
2
C)
D)
4
Answer:
2√2 = x
Step-by-step explanation:
x
---- = sin 45 degrees, or
4
x 1
----- = -----
4 √2
this results in x = 4 / √2 = 4√2/2 = 2√2 = x
The value of the variable 'x' will be 2√2 units. Then the correct option is C.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have
4² = x² + x²
2x² = 16
x² = 8
x = 2√2
The value of the variable 'x' will be 2√2 units. Then the correct option is C.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
3. Find the surface area of the square pyramid.
Answer:
answer: 105
Step-by-step explanation:
For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!
Market price of an article is 30% above its purchase price.If the shopkeeper sold it by allowing 15% discount,then (i) Calculate the market price and profit amount if the shopkeeper paid 2500 for the article.
solution by step:
The market price and profit amount if the shopkeeper paid 2500 for the article will be 3250 and 11.05%.
What exactly is profit?Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.
Given data;
Purchase price = 2500
Given condition;
The markup is 30% more than the purchasing price.
Mark Price is found as;
[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]
The marked price of an article will be 3250.
Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;
[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]
The profit in the article is found as;
Profit = 2762.5-2500
Profit = 226.25 RS
Now profit % is found as;
[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];
Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article, will be 3250 and 11.05%.
To learn more about the profit refer to the link;
https://brainly.com/question/15036999
#SPJ1
solve the equation for x
Answer:
1/4x=8 which also equals 32
Step-by-step explanation:
12-4=8
5/8-3/8=2/8=1/4
1/4x=8 then you would multiple each side by 4 to cancel out and 4*8=32
Complete the following statement
with the correct number.
The sum of the three angles of
any triangle is [?]
Enter
Answer:
180°
Step-by-step explanation:
According to Angle sum property of a triangle , sum of all the three angles of a triangle equals to 180°
Cloe Dow purchased a hot tub for $5,000. She made a 50 percent down
payment and financed the remainder. What amount did she finance?
Answer:
She financed $2500
Step-by-step explanation:
If you multiply $5000 by 50% you will be $2500. This would be the amount she financed. Hope this helps
7 times as much as 1/3 and 4/5
Answer:
3.13333333333
Step-by-step explanation:
It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
not necessarily congruent
Step-by-step explanation:
asa is angle side angle , in this case, none of the sides are marked congruent
sas is side angle side, again, no sides marked congruent
sss, side side side, again, no sides are marked congruent
which only leaves the triangles not being congruent.
Find the area of the figure. The area is square inches.
please help!
Answer:
154 inchs
Step-by-step explanation:
22 * 14 divided by 2
ILL MARK BRAINIEST IF YOU GET THIS RIGHT!!!
Answer:
the answer is B!
hope this helps!
What is the circumference of this circle? Use 3.14 for pie
Answer:
37.68
Step-by-step explanation:
C=3.14 x 12
x + 6 = 4
what is x ??
Answer:
x= (-2)
Step-by-step explanation:
brainliest?
Find x if the average of 20, 15, 13, 17, and x is 18.
Answer:
5
Step-by-step explanation:
Write an algebraic equation to represent the
situation. Be sure to define the variable you are
using. For example: b = the # of books.
Write your equation and define the variables here.
Answer:
Where is the situation?
Step-by-step explanation:
Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.
Mr. Meyer is planning a sixth-grade field trip to Washington DC. He divides his students evenly between 9 chaperones will lead a group of 8 students. If S represents the total number of students going on the field trip with equation models the problem?
A. 8s = 9
Or
B. s/9 =8
I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72
Hope this helps answer some questions that you may have had.
A chocolate bar says that a
serving size is 1/3 of the bar. How
many servings are in six bars of
chocolate?
Answer:
6/18 or 3/9 they are the same!
Hope this helps! Brainliest thanks!
3rd retry of this question! Please stop using bots to put in links as your answers!!! Please help me with this question! Thanks in advance!
Darius makes a shirt for $8. He sells the shirt for $18. By what percentage did Darius increase the cost of the shirt?
Answer:
He increased it by 225%
Step-by-step explanation:
18/8=2.25 and that into a percent is 225%
The volume of a cube is 124 cubic inches.
What is the side length of the cube?
Answer:
4.987 in
Step-by-step explanation:
Volume of a cube= (where x= side)
x³
we know that
124=x³
∛124=x
x=4.986630952 which rounds to
4.987
Answer: a≈4.99in
Step-by-step explanation:
Using the formula
V=a³
Solving for a
a=V <To Power> ⅓ = 124⅓ ≈ 4.98663in
MATH HELP
Ben received 1 mark for every correct answer on a
multiple-choice test.
He answered 75 questions correctly out of a total
of 135 questions.
On the test, 55% is a pass. Did Ben pass the test?
Give reasons for your answer.
Answer:
yes
Step-by-step explanation:
75 out of 135 is 55.6%
Find the volume of this triangular prism. NO LINKS
Answer:
306 [tex]ft^{2}[/tex]
Step-by-step explanation:
Formula for triangle: bh/2
2 (8*9/2) = 72
Formula for rectange: bh
8*9 = 72
2(9*9) = 162
Add: 72 + 72 + 162 = 306
Classify the pair of angles.
34°
O complementary
O supplementary
o vertical
Find the value of x.
x=
Answer:
supplementary
x = 146 degrees
Step-by-step explanation:
Answer:
supplementary
Step-by-step explanation:
What is the answer??
Answer: .41+.34=.75
Step-by-step explanation: