SOLUTION
Reflection rule for over the x-axis is given as
\((x,y)\rightarrow(x,-y)\)Th coordinate of T is (-1, -1), reflecting over the x-axis we have
\((-1,-1)\rightarrow(-1,-(-1)\rightarrow(-1,1)\)Hence the answer is
T': (-1, 1)
A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else. A random sample of 600 18-29 year-olds is obtained today. What is the probability that no more than 70% would prefer to start their own business?
Answer:
The probability that no more than 70% would prefer to start their own business is 0.1423.
Step-by-step explanation:
We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.
Let \(\hat p\) = sample proportion of people who prefer to start their own business
The z-score probability distribution for the sample proportion is given by;
Z = \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ~ N(0,1)
where, p = population proportion who would prefer to start their own business = 72%
n = sample of 18-29 year-olds = 600
Now, the probability that no more than 70% would prefer to start their own business is given by = P( \(\hat p\) \(\leq\) 70%)
P( \(\hat p\) \(\leq\) 70%) = P( \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) \(\leq\) \(\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }\) ) = P(Z \(\leq\) -1.07) = 1 - P(Z < 1.07)
= 1 - 0.8577 = 0.1423
The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.
can someone help me with this?
Answer:
[See Below]
Step-by-step explanation:
✦ The pattern is y ÷ 8. (So just divided by 8 each time.)
✧ 512 ÷ 8 = 64
✧ 64 ÷ 8 = 8
✧ 8 ÷ 8 = 1
✧ 1 ÷ 8 = 0.125
✧ 0.125 ÷ 8 = 0.015625
✦ So then the next values would be:
✧ 8⁰ = 1
✧ 8⁻¹ = 0.125
✧ 8⁻² = 0.015625
~Hope this helps Mate. If you need anything feel free to message me.
emmy and roscoe both run every day. Yesterday emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours. Who ran faster and why
Roscoe is faster.
What is speed?Speed is a scalar quantity that refers to "how fast an object is moving."
Given that, Emmy and Roscoe both run every day. Yesterday Emmy ran 8 mile in 2 hours. Roscoe ran 6 ½ miles in 1 ½ hours.
Speed = distance / time
Emily's Speed = 8 / 2 = 4 mph
Roscoe's speed = 6 ½ / 1 ½ = 6.5 / 1.5 = 4.33 mph
Since, Roscoe's speed is greater than Emily's speed.
Hence, Roscoe is faster.
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please help me with math i’ll give you brainlist
Answer: False
Step-by-step explanation:
25% of the data is between Q1 and the median.
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.
If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?
The numbered spot at which all the runners will be next to one another is spot 19.
What is the LCM?Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.
Starting with the runner on the outside track, the provided parameters are;
The runner covered n₁ = 5 places on the outside track, which is the number of spaces.
Next, the inner runner will traverse n₂ spaces, which equals one space.
The following inner runner will cover n₃ = 3 spaces.
The subsequent runner will traverse n₄ = 2 spaces.
The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.
LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.
Time = 30/ = 6
Consequently, when the first runner has covered 30 places, we have;
Six time units have been expended.
The runner comes to a stop at position 30- (30 -19) = Position 19.
First runner's new destination is Spot 19.
The distance covered simultaneously by runner 2 is 6 x 1 = 6.
The distance covered by two runners running simultaneously equals six spaces.
Second runner's new position: 6 spaces plus spot 13 equals spot 19.
The combined distance covered by the three runners is 6 x 3 = 18.
The distance runner 3 covers 18 spaces simultaneously.
Third runner's new position: 18 spaces + Spot 1 = 19 spaces
Runner 4 covers a distance of 6 x 2 = 12 at the same time.
Distance runner 4 journeys equals 12 spaces
Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.
Therefore, all the runners will be next to one another is spot 19.
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What is the value of the expression 10 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)
a
12
b
13
c
16
d
18
Answer:
106
Step-by-step explanation:
10 + (1/2)(4)(48) = 10 + 2(48) = 10 + 96 = 106
A boat traveled 189 miles downstream and back. The trip downstream took 9 hours. The trip back took 63 hours. Find the speed of the boat in still water and the speed of the current
The speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.
To find the speed of the boat in still water and the speed of the current, let's follow these steps:
Step 1: Let x represent the speed of the boat in still water, and y represent the speed of the current. The speed downstream is (x + y) and the speed upstream is (x - y).
Step 2: Use the formula distance = time × speed to write two equations based on the given information.
Downstream: 9(x + y) = 189
Upstream: 63(x - y) = 189
Step 3: Simplify both equations:
Downstream: x + y = 21 (divide both sides by 9)
Upstream: x - y = 3 (divide both sides by 63)
Step 4: Solve the system of equations by adding the two simplified equations:
2x = 24
x = 12
Step 5: Plug the value of x back into either equation to solve for y:
12 + y = 21
y = 9
So, the speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.
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W varies directly with the square of n and when n = 3, W = 117. Find n when W = 637
n =
Answer:
n = 7
Step-by-step explanation:
Varies directly
w/n² = k
---------------------------
when n = 3, W = 117
k =117/3²
k = 117/9
k = 13
-------------------------
Find n when W = 637
637/n² = 13
637 /13 = n²
49 = n²
7 = n
Identify the axis of symmetry, vertex, and range for the quadratic function.
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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IXL Please Help Fast !
Answer:
x=9
Step-by-step explanation:
9x-7=5x+29
9x=5x+36
4x=36
x=9
Hopes this helps please mark brainliest
What is −12÷2/3?
Responses
−36
−24
−18
−8
What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
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I need help with this please help me
Answer: A
Step-by-step explanation:
The three angles in a triangle add to \(180^{\circ}\). Therefore, each angle measures \(\frac{180^{\circ}}{3}=60^{\circ}\).
An individual's income varies with age. The table
shows the median income I of individuals of
different age groups within the United States for
a certain year. For each age group, let the class
midpoint represent the independent variable x.
For the class "65 years and older," assume that
the class midpoint is 69.5.
Complete parts (a) through (e).
Considering the relation between the two variables in the table, it is found that:
A quadratic relation with a < 0 exists between the two data-sets.The quadratic relation is given by: y = -46.359 x^2 +4385.3 x -57255.975.How to find the type of relation of the variables?We have to look at the behavior of the relation over the entire domain as follows:
If it only increases, or only decreases, it is a linear relation.If it increases and then decreases, or vice-versa, then it is a quadratic relation.In the context of this problem, the median income increases until a age group of 45-54 years, then it decreases. Since it increases then it decreases, the relation is concave down quadratic, that is, quadratic with a < 0.
To find the equation that models the relation, we insert the data-points given as follows into the calculator:
(19.5, 10963), (29.5, 32131), (39.5, 41636), (49.5, 46693), (59.5, 41477), (69.5, 22500).
Using the calculator with these points, the quadratic equation of best-fit is given as follows:
y = -46.359 x^2 +4385.3 x -57255.975
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Answer:
-46.537x^2 + 4409.695x - 57770.475
Step-by-step explanation:
B
с
6x + 1
E
X + 11
D
Answer:
E
X + 11 i think that is the answer of this question
20. A store offers a discount of 10% to customers
who spend more than $20. If a customer's
total bill was $80, what will he actually pay?
A. $60
B. $70
C. $72
D. $74
How many schools have fewer than 50 classrooms
Answer:
7 schools have fewer than 50 classrooms.
please help asap math question
Please answer this correctly
Answer:
The answer is 615.44cm².
Step-by-step explanation:
Given that the formula of area of circle is A = πr² where r represents radius. Then you have to substitute the following values into the formula :
\(area = \pi \times {r}^{2} \)
\(let \: \pi = 3.14\)
\(let \: r = 14\)
\(area = 3.14 \times {14}^{2} \)
\(area = 3.14 \times 196\)
\(area = 615.44 \: {cm}^{2} \)
Answer:
Area of circle=πr^2
solution:-3.14×14^2
=615.44cm^2
Step-by-step explanation:
Hope it'll help!
who wants to play rocket league with me
I'm gold3 so sry
Answer:
Bet
Step-by-step explanation:
Answer:
Your on
Step-by-step explanation:
Does someone have a fennec in rocket league and someone who can trade it on switch?
b) Find the least number that must be subtracted from 2120 so that the result is a perfect square.
Answer: 4
I’m sorry, I could not find any other methods except for finding the closest perfect square which was 2116. (46^2)
You have two spinners each with three sections of equal size, one labeled with the numbers 1,2,3 and the others 2,4,6. You spin both and observe the numbers. Let X be the sum of the two numbers. In the game you are playing, you win if you get a sum of at least a 600 in 100 spins. If not you lose, should I play?
From the table
\(\text{Total possible outcomes = 9}\)we are to find the probability of getting a sum of at least 600 in 100 spins
This means, we need to get a sum of at least 6 in 1 spin
Hence
\(\begin{gathered} P(\text{getting a sum of at least }6\text{ in one spin)} \\ =\text{ }\frac{number\text{ of possible outcome}}{total\text{ possible outcome}} \end{gathered}\)From the table
number of the possible outcome of getting a sum of at least 6 = 5
Therefore
\(\begin{gathered} P(\text{getting sum of at least 6 in one spin)} \\ =\text{ }\frac{5}{9} \\ \cong\text{ 0.56} \end{gathered}\)Since the probability is more than 0.5 then
I can play the game
I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
what is the answer in ft
(no link)
Answer:
22
Step-by-step explanation:
add them all together
HELP LAST ATTEMPT !!!!!?
Answer:
180=34+4x+90
180=124+4x
4x=56
X=14
According to the CDC, only 20% of Americans get enough exercise each week. You conduct a survey of 200 people.
a. What is the probability that 45 or more people in your survey get enough exercise? Use a normal approximation for p hat
b. Find the exact binomial probability that 45 or more people in your survey get enough exercise.
The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.
What is mean?The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.
According to question:a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.
The mean of the sample proportion is:
μ = p = 0.20
The sample proportion's standard deviation is:
σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034
Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:
z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24
P(Z > 1.24) = 0.1082
Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.
b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:
P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853
Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.
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One number is two less than three times another. If their sum is decreased by two, the result is four. Find the numbers.
The smaller of the numbers is ___ and the larger is ___
Answer: The smaller of the numbers is 2 and the larger is 4.
Step-by-step explanation: 2x3-2=4. 2+4-2=4
Answer:
The bigger number is 1 and the smaller number is also 1
Step-by-step explanation:
One number is 2 less than 3 times another
x + 2 = 3y
If their sum is decreased by 2 the result is 4
(x + 2 + 3y) - 2 = 4
x + 3y = 4
x = 4 - 3y
Substituting value of x, 4 - 3y , in x + 2 = 3y
4 - 3y + 2 = 3y
6 - 3y = 3y
6 = 3y + 3y
6 = 6y
Divide both sides by coefficient of y, 6
y = 1
Substituting value of y, 1 in x + 2 = 3y
x + 2 = 3(1)
x + 2 = 3
x = 3 - 2
x = 1
Find the radius of a cylinder or volume 45 cm3 and length of 4 cm
Using the given volume and the length of the cylinder we know that the radius is 1.89 cm approximately.
What is a cylinder?A cylinder is one of the most basic curvilinear geometric shapes and has traditionally been solid in three dimensions.
In elementary geometry, it is regarded as a prism with a circle as its basis.
A cylinder can instead be described as an infinitely curved surface in a number of modern domains of geometry and topology.
So, the volume of the cylinder is 45 cm³.
The length is 4 cm.
Now, the formula for volume is: V=πr²h
Insert values and calculate r as follows:
V=πr²h
45=3.14r²4
45=12.56r²
45/12.56=r²
3.58 = r²
1.89 = r
Therefore, using the given volume and the length of the cylinder we know that the radius is 1.89 cm approximately.
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Complete question:
Find the radius of a cylinder or volume of 45 cm³ and length of 4 cm.