Find the area of the polygon. Leave
your answer in exact form with proper units.
Answer:
15 square meters.
Hope this helped!
The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Which of the following equations could be used to find the area?
Question 19 options:
A)
A = 4w2 – 3w
B)
A = w2 – 4w
C)
A = 3w2 – 4w
D)
A = 3w2 – w
Answer:
C) A = [tex]3w^{2} - 4w[/tex]
Step-by-step explanation:
First, read through what the question is asking.
Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )
Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).
So, the length is equal to:
l = 3w - 4
and the width is equal to:
w = w
The area of a rectangle is A = l * w
Let's plug in the values.
A = (3w - 4) * w
Now, simplify:
A = [tex]3w^{2} - 4w[/tex]
A = [tex]3w^{2} - 4w[/tex] is your final answer.
I hope this helps!
In a casino in Atlantic City, there are two slot machines: one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20 % of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random and put a coin into it. Given that you lose that first bet estimate the probability that the machine you selected is the more generous of the two machines.
1. What do I know?
2. What do I want to find out?
3. What do I expect the answer to be?
4. How do I go from what I know to what I want to find?
5. Is the answer consistent with what I expected?
Answer:
probability = 0.5294
1) what i know is that there are two machines
2) the probability of choosing a machine that pays 20% of the time
3) expected answer = 0.5294 = 52.94%
4) buy making some assumptions while making the calculations
5) yes
Step-by-step explanation:
Given data:
Number of machines = 2
Assuming probability of machine 2 = 20% = 0.20
Assuming probability of machine 1 = 10% = 0.10
since both machines have the ability to be generous i.e. pay 20% all the time
P( machine 1 is generous ) = P( machine 2 is generous ) = 0.5
this is since there are only two machines
hence find the probability that the chosen machine ( machine 1 ) is the generous machine after the player losses its first bet
P ( Machine 1 is generous | first bet lost )
= [tex]\frac{P( machine 1 is generous n lost) }{p(lost)}[/tex] = [tex]\frac{(1-p(pays|machine 1 is generous))*p(machine 1 is generous)}{[((1-0.10)*0.5)+ ((1-0.20)*0.5)]}[/tex]
= [tex]\frac{(1-0.10)*0.5}{0.85}[/tex] = 0.5294
This the probability that Machine 1 is generous after the player losses the first bet
1) what i know is that there are two machines
2) the probability of choosing a machine that pays 20% of the time
3) expected answer = 0.5294 = 52.94%
4) buy making some assumptions while making the calculations
5) yes
A wildlife biologist examines frogs for a genetic trait that is linked to sensitivity to an industrial toxin in the environment. Suppose exposure to the toxin tends to increase the prevalence of the genetic trait in the population of frogs. Previous research has established that this trait is usually found in about 2/10 of all frogs in a `clean' environment. Suppose a location is suspected of contamination. A sample of 10 frogs are collected, then examined for the genetic trait. We are asked to interpret the data collected and determine whether there is evidence suggesting contamination. What is the fewest number of frogs in the sample with the trait (number of successes) for which we can conclude the area is contaminated?
Answer:
3
Step-by-step explanation:
Usually, when there is contamination the smallest amount can have huge ramifications in the data collected. In this scenario, if in a "clean" environment the trait is found in 2/10 frogs then anything above this number should be considered contaminated. This is because data above this ratio would be considered uncommon or rare and this unique occurrence can be most likely tied to the only new factor which would be the contamination. Therefore the minimum number of frogs with this trait in the sample would be 3.
Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
Answer:
Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
Step-by-step explanation:
We are given that a hypothesis test of the given claim is conducted. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand.
Let p = the proportion of Americans that have seen a UFO
So, Null Hypothesis, [tex]H_0[/tex] : p = [tex]\frac{2}{1000}[/tex] = 0.002
Alternate Hypothesis, [tex]H_A[/tex] : p < [tex]\frac{2}{1000}[/tex] ⇒ p < 0.002
Here, the null hypothesis states that the proportion of Americans that have seen a UFO is equal to 2 in a thousand.
On the other hand, the alternate hypothesis states that the proportion of Americans that have seen a UFO is less than 2 in a thousand.
Now, the type I error states that the probability of rejecting the null hypothesis given the fact that the null hypothesis is true. Or, it is the probability of rejecting a true hypothesis.
So, in this context, the type I error is to Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
There are 7 roses in a vase of 15 flowers. The rest are daisies. (a) What is the ratio of daisies to roses? (b) What is the ratio of all flowers in the vase to daisies?
Answer: 8 to 7 and 15 to 8
Step-by-step explanation:
We can conclude that -
The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8What is ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that there are 7 roses in a vase of 15 flowers. The rest are daisies.
We have 7 roses in a vase of 15 flowers. The rest are daisies.
The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8Therefore, we can conclude that -
The ratio of daisies to roses = 8/7The ratio of all flowers in the vase to daisies = 15/8To solve more questions on ratios, visit the link below -
https://brainly.com/question/1504221
#SPJ5
A recipe calls for 4c of flour. You have 20 c of flour. Let r represent the flour you when left after making the recipe. Is the remaining amount of flour 18c?
Answer:
r=16c
Step-by-step explanation
20-4=r
16=r
(3g2−g)+(3g2−8g+4) find the sum
Answer: 6g2−9g+4
Step-by-step explanation: 3g2+−g+3g2+−8g+4
=(3g2+3g2)+(−g+−8g)+(4)
=6g2+−9g+4
What’s the domain of (2x-9)/(3-x)
Answer:
The domain in interval notation would be (−∞,3)∪(3,∞) In set builder notation it would be {x|x≠3}
A rectangle has a side length of 2 5/8 feet and 3 1/5 feet. Find the perimeter of the rectangle.
Answer: 2
Step-by-step explanation: ( l + w )
[tex]simplify:\sqrt6r^{6}[/tex]
Find the common difference of the arithmetic sequence 4,2,0,...
Answer:
d=-2 is the difference
What is the solution to 0.3(12x-16)= 0.4(12-3x) ?
Estimate 65 to the nesrst tenth then locate 65 on a number line
Answer:
70
Step-by-step explanation:
ok so first of all you have to see if the next number is 5 you can borrow and then draw on number line between 65 and 70 that there is your answer 70
please help, and then u need factor the expression
Answer: Choice A
U = (x+3)
V = 7
===========================================
Explanation:
If we let U = (x+3), then the original expression turns into U^2 + 14U + 49
This factors to (U+7)^2 when using the perfect square factor rule which in general is (a+b)^2 = a^2+2ab+b^2
Comparing the last term 49 with b^2, we see that b^2 = 49 leads to b = 7
So that must mean V = 7 in order to have
(U+V)^2 = U^2+2UV+V^2 = U^2 + 14U + 49
be a true statement
What is (-i)^6 ?
A. 1
B.-1
C. -i
D. i
Answer:
I think it's D I'm probably wrong
Answer:
B. -1
Step-by-step explanation:
5. If mZWXZ = (5x + 3)", mZZXY = (8x - 4)", and
ZWXY is a right angle, find each measure.
W
Х
z
Y
mZWXZ =
mZZXY =
Answer:
m∠WXZ = 38°
m∠ZXY = 52°
Step-by-step explanation:
In the question
∠WXZ and ∠ZXY are two adjacent angles and formed together ∠WXYThat means the measure of ∠WXY equal the sum of measures of ∠WXZ and ∠ZXY∵ ∠WXY is a right angle
→ That means its measure is 90°
∴ m∠WXY = 90°
∵ m∠WXZ + m∠ZXY = m∠WXY
∵ m∠WXZ = (5x + 3)°
∵ m∠ZXY = (8x - 4)°
∵ m∠WXY = 90°
→ Substitute their values in the equation above
∴ (5x + 3) + (8x - 4) = 90
→ Add the like terms in the left side
∵ (5x + 8x) + (3 - 4) = 90
∴ 13x + (-1) = 90
∴ 13x - 1 = 90
→ Add 1 to both sides
∴ 13x - 1 + 1 = 90 + 1
∴ 13x = 91
→ Divide both sides by 13
∴ [tex]\frac{13x}{13}=\frac{91}{13}[/tex]
∴ x = 7
→ To find the measure of each angle substitute x by 7 in their measures
∵ m∠WXZ = 5x + 3
∴ m∠WXZ = 5(7) + 3
∴ m∠WXZ = 35 + 3
∴ m∠WXZ = 38°
∵ m∠ZXY = 8x - 4
∴ m∠ZXY = 8(7) - 4
∴ m∠ZXY = 56 - 4
∴ m∠ZXY = 52°
What is the domain of the following relation: Is this relation a function? Why or
why not?
R: {(1, 2), (2, 2), (-1, -2), (-3, 4)}?
Answer:
- domains: { 1,2,-1,-3 }
- it is a function
Step-by-step explanation:
it is a function Since there is one value of y for every value of x in the relation.
PLEASE HELP !!!
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed (2)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment on
a car.
Answer:
$68y
Step-by-step explanation:
i just thought of it don't ask
34 × (-38) + (-38) × 66 find using suitable properties
Answer:
Step-by-step explanation:
-1292 + (-2508)
= - 3800
You’re starting a lemonade stand in front of your house. You’ve already obtained a permit from City Hall in order to do so. For your stand, your neighbor agrees to let you use his nice large table for $5 per day (this cost is known as fixed cost because it will not change whether you sell one cup or 100 cups of lemonade). Your parents give you full access to the fridge’s filtered water but require you to take care of the cost of the other ingredients and expenses that go into making your final product. After a day or two of starting your business, you determine that the cost of paper cups, sugar and fresh lemon juice is $0.32 per cup (this cost is known as variable cost because it changes according to the number of cups you sell).
Answer:
Ok. Interesting.
Step-by-step explanation:
I think you forgot the question.
Brainliest appreciated!
The graph of h(x) = (x - 10| +6 is shown. On which
interval is this graph increasing?
O (-0,6)
O (-6, 10)
O (6,-)
O (10,0)
Solve the absolute value equation 4 − |x| = 1
Answer :SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
Step-by-step explanation:
Answer:
x can equal 5 or -5 since absolute value changes everything into a positive number.
Step-by-step explanation:
394434
3,757
Hi My name is Ella and I need help
Answer:
39,443
-
3,757=
36, 3 1 1 4
Evaluate the given expression at x= -4
-3x + 2x^2 + 2
The steps below show the work of a student used to calculate the number of yards in 804.5 meters.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Step 1: 1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
Step 2: 2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
Step 3: 3,520 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
How can the error in the student's work be corrected? NEEDS SUBMITTING TODAY PLZ HELP ASAP
Answer:
see below
Step-by-step explanation:
804.5 meters. to yards
Step 1:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
1,609 meter x 1 mile = 2 miles
804.5 meters
Step 2:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
2 miles x 1,760 yards = 3,520 yards
1 mile
no need of step 3. the conversion below should be on step 2.
to convert miles into yards.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Answer:
how do ppl do this lol...
Step-by-step explanation:
standard algorithm for 0.3 +0.82
Answer: 1.12
Step-by-step explanation: just add the numbers
What are the angles of rotations of an isosceles triangle ?
Answer:
360 degrees
Step-by-step explanation:
when we look at images of isosceles triangle it fits itself 1 time during a full rotation of 360 degrees
Explain how the pattern of chairs in a movie theater can be described using translation.
Answer:
Step-by-step explanation:
reflection over the x-axis as well reflected over the Y axis and rotated 90° counterclockwise and clockwise
Answer:Since the chairs all have the same orientation, any chair in a row can be described as a horizontal translation of any other chair in that row. Likewise, any row of chairs can be described as a translation of any other row of chairs up and back or down and forward.
Step-by-step explanation: Just did it, that is the sample response.
Compare the annual salary of a police/detective and an EMT (emergency medical technician). Based on the annual salaries, how much more will a police detective earn than an EMT over a thirty year period?
Answer:
its B) $538,080.00