Answer:
2/3 of the price
Step-by-step explanation:
The diagram of a living room is shown below. What fraction of the living room is covered by the rug? need done ASAP
Answer:
[tex] \frac{10}{27} [/tex]
The heights of American men aged 18 to 24 are approximately Normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches. Only about 5% of young men have heights outside the range
(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.
The height range out of which only 5% of the young American men (from age 18 to 24) lie is [63.35, 72.65] (in inches)
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, let we take:
X = height of American men from age 18 to 24[a,b] = range of height (the values of X) outside which there lies only 5% of American men.Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]
where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).
Also, we can write:
[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]
Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.
Thus, we have:
[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]
From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]
Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]
Using the z-tables, we get the value of Z for which p-value is 0.025 as
-1.96
Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]
Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]
Thus, the range is [a,b] = [63.35, 72.65]
Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is [63.35, 72.65] (in inches)
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HELP PLEASE!!
Select the equation of the line parallel to y=-4x-6 the
equation and that passes through the point (1, 2).
O y=-4x+6
O y=4x-4
O y=-4x-4
O y = 4x+6
Answer:
[tex]y=-4x+6[/tex]
Step-by-step explanation:
If you are looking for a parallel line with just the equation then look for an equation with the same slope and different Y intercept. After you find that just check and see if it passes the coordinate.
[tex]2=-4(1)+6[/tex]
[tex]2=-4+6[/tex]
[tex]2=2[/tex]
If it works you have your answer!
The equation of the line parallel to y = -4x - 6 and passing through (1, 2) is
y = -4x + 6.
The slope of y = -4x - 6 is -4.
passing through the point (1, 2)
the new line is parallel to the original line, it will have the same slope (-4).
Use the point-slope form of a linear equation to write the equation of the new line. The point-slope form is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.
substituting values,
y - 2 = -4(x - 1)
y - 2 = -4x + 4
y = -4x + 6
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Gemma makes a conjecture that the sum of an odd integer and itself is always an even integer. Which choice is the best proof of her conjecture?
A) Look at these different examples: 7 + 7 = 14, 13 + 13 = 26, 23 + 23 = 46. So the sum of an odd number and itself must be even
B) Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
C) Let n represent an odd number, and let n + n be an even number. Therefore, n + n = n + n, which shows that the sum of an odd number and itself is even.
D) Every time you add an odd number and itself, the sum is an even number.Every time you add an odd number and itself, the sum is an even number.
Answer:
Let 2n + 1 be an odd number...... B/2nd option
Step-by-step explanation:
The best choice is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2.
Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
What is Conjecture?A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence. Some conjectures, like the Fermat's Last Theorem or the Riemann hypothesis, have significantly influenced the development of new branches of mathematics.
First, Only three examples are given which is not appropriate at all.
Second, This is the best proof is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
Fourth, State the meaning of Title without proof.
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Which number line best shows the position of 13?
is 77.65488319 rational or irrational
Answer:
rationale
Step-by-step explanation:
step by step instructions
Answer:
Irrational
Step-by-step explanation:
The decimal doesn't terminate.
Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistent
number of miles
per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the
equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to
complete the trip.
Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve
the equation to determine how many gallons of gasoline he must purchase.
Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
8.9% is equivalent to what fraction in reduced terms?
Answer:89/1000
Step-by-step explanation:
Answer:
[tex]\frac{89}{1000}[/tex]
Step-by-step explanation:
8.9% = 0.089[tex]0.089 = \frac{89}{1000}[/tex]I hope this helps!
Write the slope-intercept form of the equation for the line containing (1,-6) and (−4,4).
Answer:
-2
Step-by-step explanation:
m = 10 / -5 = 2 / -1 = -2
Which is true about x, the quotient of the division problem shown below? х 81 918 O The quotient contains a repeating decimal. O The quotient contains a terminating decimal. O The quotient is a whole number less than 11. O The quotient is a whole number greater than 11
Answer:
The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".
Step-by-step explanation:
The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.
[tex]\to \frac{81}{918}= 0.0882352941[/tex]
It wasn't a repeating decimal, however a final decimal, so it's got an end.
Its quotient may be less than 11 in total.
Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .
Answer:
a
Step-by-step explanation:
10x+y when x = 7 and y = 5
Answer: 75
Step-by-step explanation:
Plug in 7 for x and 5 for y
10(7)+5
70+5
75
Hong needs to memorize words on a vocabulary list for Spanish class. He has memorized 30 of the words, which is five-sixths of the list. How many words are on the list?
What is the base in the expression 45?
4
5
9
20
the answer to your question is 4
Answer:
yeah it is 4 i got it right
Step-by-step explanation:
The following scores represent students' test grades in Ms. Orr's science class. Test Scores 78 81 78 81 78 81 78 81 78 87 91 87 91 87 91 87 91 87 What is the median score for Ms. Orr's science class?
plsss help mee
Answer:
Its definitely B 84.5
I took the test
Step-by-step explanation:
Answer:
87
Step-by-step explanation:
The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.
answer with explanation pls
Answer:
8.69>8.6
Step-by-step explanation:
Because 8.69 has .09 more than 8.6
Answer:
8.69 > 8.60
Step-by-step explanation:
You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6
hope this helped! :)
Name the property that the statement illustrates.
Answer:
Symmetric property of angle congruence
A family bought a total of 16 adult and child tickets to a magic show. Adult tickets are $10.50 each and child tickets are $7.50 each. The family paid a total of $141. How many of adult tickets, a, and child tickets, c, did they buy?
9514 1404 393
Answer:
7 adult tickets9 child ticketsStep-by-step explanation:
Using the variables defined in the problem statement, we can write the equations ...
a + c = 16 . . . . . . . . . . . . number of tickets bought
10.50a +7.50c = 141 . . . cost of tickets bought
Substituting for c in the second equation, we get ...
10.50a +7.50(16 -a) = 141
3.00a +120 = 141 . . . . . . . . simplify
3a = 21 . . . . . . . . . . . subtract 120
a = 7 . . . . . . . . divide by 3
16 -a = c = 9 . . . . . . . find the number of child tickets
They bought 7 adult tickets and 9 child tickets.
_____
If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.
why is eid more inportant than ramadan???
brainlest for 1
Answer:
eid is more important then Eid
Step-by-step explanation:
Eid al-Fitr - which means 'festival of the breaking of the fast - is celebrated at the end of Ramadan, , a month when many adult Muslims fast. Eid al-Adha - which means 'feast of the sacrifice' - is celebrated just over two months later, at the same time when many Muslims perform the Hajj pilgrimage.
Answer:
because we get to spend eid with family and friends.
Step-by-step explanation:
but they're equally important, in my opinion
What is the measure of ∠RQS ?
What is the measure of ∠RQT ?
What is the measure of ∠RQV ?
What is the measure of ∠UQV ?
Answer:
∠RQS = 19°
∠RQT = 90°
∠RQV = 161°
∠UQV = 91°
Step-by-step explanation:
To get ∠RQV, you know that the line is equal to 180°, so subtract 19° from it:
∠RQV = 180 - 19
∠RQV = 161°
To get ∠UQV, you know that the line is equal to 180°, so subtract 71° and 18° from it:
∠UQV = 180 - 71 - 18
∠UQV = 91°
Hope this helps!
√294
A. 7√6
B. 8√3
Which one?
Answer:
√294 = A. 7√6
Explanation:
Factor 49 out of 294 . √
49 ( 6 ) Rewrite
49 as 7 ² . √ 7 ² ⋅ 6
Pull terms out from under the radical.
7 √ 6
You were lifting weights with 220,000 and a volume of 1000cm^3. what is the density?
Answer:
220g/cm³
Step-by-step explanation:
Given parameters:
Mass of the weight = 220000g
Volume = 1000cm³
Unknown:
Density of weight = ?
Solution:
Density is the mass per unit volume of a substance.
Mass is the amount of matter in a substance.
Volume is the amount of space a substance occupies
Density = [tex]\frac{mass}{volume}[/tex]
Input the parameters and solve
Density = [tex]\frac{220000}{1000}[/tex] = 220g/cm³
A rock garden is in the shape of a triangle as shown. Which equation could be used to find the area of the rock garden
Answer1/2(8x15)=60ft2
Step-by-step explanation: hope this helps you
The area of the rock garden will be represented by the equation 1/2 x 15 x 8 = 60. The correct option is D.
What is the area of a triangle?The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 x b x h, where b and h are the product of the triangle's base and height.
The area of the triangle will be calculated as,
Area = 1/2 x 15 x 8
Area = 15 x 4
Area = 60 square feet
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mark the error / s es de moninomios
9514 1404 393
Answer:
2x²2y³ -- Coefficiente: +4
5xy -- Grado: 2
-5x⁴y -- Grado: 5
Step-by-step explanation:
The coefficient of the literal part is the product of all of the numerical factors in the term.
2x²2y³ = (2·2)x²y³ = 4x²y³ . . . . the coefficient is 4
As in the upper left box, the degree of the term is the sum of the exponents of the literals.
5xy has a degree of 1+1 = 2
-5x⁴y has a degree of 4+1 = 5
__
The remaining descriptions are correct.
Please answer quickly!
Sorry I think the picture is blocked so I can't see it
Jacob baked 42 sugar cookies and 30 oatmeal cookies to package for his friends at school. He wants to package the cookies into identical containers so that each container has the same number of cookies. If he uses all of the cookies, what is the greatest number of containers he needs?
Answer:
6
Step-by-step explanation:
Given the following :
Number of sugar cookies = 42
Number of Oatmeal = 30
To package the cookies into identical containers so that each container has the same number of cookies with no left over ;
We find the greatest common factor of 42 and 30
Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42
Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30
The greatest common factor = 6
What is .24 written as a percent?
Answer:
24%
Step-by-step explanation:
Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.
Step 2: Add a percent sign: 24%
and that's how you get your answer
The .24 written as a percent is 24%.
To convert .24 to a percent, multiply it by 100.
.24 ×100 = 24
When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.
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Lauren's vet commented that her puppy gained 10% in weight since the first visit. Write an expression that could be evaluated to show the puppy's current weight. Use a variable to represent the weight of the puppy at the first visit. Write the expression in simplified form. If the puppy gains another 10% in weight from the current visit to a future visit, how much will the puppy weigh? Write an expression that could be evaluated to show the puppy's future weight. Write the expression in simplified form.
Answer: expression to show puppy's current weight = x+ 0.1x, simplified form = 1.1x
Expression that for puppy's future weight= 1.1x + 0.1(1.1x), simplified form = 1.21 x
Step-by-step explanation:
Let x= Puppy's weight in the first visit.
If it gained 10% in weight from the first visit, then his current weight = (weight in first visit)+10% of (weight in first visit)
= x+ 0.1x
i.e. expression to show puppy's current weight = x+ 0.1x
In simplified form it will be
x+ 0.1x = x(1+0.1)
=x(1.1)
=1.1 x (simplified form )
If puppy gains another 10% in weight, then its future weight = (current weight)+10% of (current weight)
= 1.1x+10% of 1.1x
= 1.1x + 0.1(1.1x)
Expression that for puppy's future weight= 1.1x + 0.1(1.1x)
= 1.1x(1+0.1)
= 1.1x(1.1)
=(1.1)²x
= 1.21x (simplified form)
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles
Answer:
20 caramel apples are covered with sprinkles
Step-by-step explanation:
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.
Let the Total fraction of caramel apples = 1
1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles
Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )
LCM of denominator = 30
= 1 - (6 + 10 + 9/30)
= 1 - 25/30
= 5/30
= 1/6
How many caramel apples are covered with sprinkles
This is calculated as :
Fraction of caramel apples covered in sprinkles × Total number of caramel apples
= 1/6 × 120
= 20 caramel apples covered in sprinkles.
which expression is equivalent to 0.17w + 0.77 + w? -0.77 + 1.17w
-0.17w + 1.77
-1.94w
-1.6w
Answer:
113.29w +1.77
Step-by-step explanation:
please will give brain