A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high. What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?.

Answers

Answer 1

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

[tex]Height = 24\ in[/tex]

[tex]Width = 28\ in[/tex]

From the center of the mirror to the floor of the wall, the distance is:

[tex]Distance =5\frac14\ ft[/tex]

So, the distance to the top of the mirror will be:

[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]

Substitute 24 for height

[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]

[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]

Convert feet to inches

[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]

[tex]Top = 63\ in+ 12 \ in[/tex]

[tex]Top = 75 \ in[/tex]

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

[tex]Distance = 8\ ft - 75\ in[/tex]

Convert feet to inches

[tex]Distance = 8\times 12\ in - 75\ in[/tex]

[tex]Distance = 96\ in - 75\ in[/tex]

[tex]Distance = 21\ in[/tex]

Hence, the distance is 21 inches

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Related Questions

A certain country is divided into 5 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/10 the total number of Progressives in the entire country, what fraction of the country is Traditionalist

Answers

Answer:

one third  (1/3)

Step-by-step explanation:

we have 5 provinces.

Each province contains the same number of Traditionalists, let's say that there are T traditionalists per province, thus, there are:

5*T in the country.

now we know that in each province, the number of traditionalists is equal to 1/10 of the total number of progressives in the entire country.

If there are a total of P progressives in the entire country, we will have that:

T = P/10

Then the total number of traditionalists in the entire country is:

5*T = 5*(P/10) = P/2

So in the whole country, there are P progressives and P/2 traditionalists.

So the total population is:

total = P + P/2 = (3/2)*P

We want to know what fraction of the country is traditionalist, this is equal to the quotient between the traditionalist population, P/2, and the total population, (3/2)*P

This is:

[tex]c = \frac{P/2}{(3/2)*P} = 1/3[/tex]

So one third of the country is traditionalist.

Which graph represents a decreasing trend

Answers

Answer:

Excuse me! plz provide the graphs 2.

b) Tìm ba cách viết số hữu tỉ -11/25 dưới dạng tổng của hai số hữu tỉ dương.

Answers

Bạn ơi tổng hai số hữu tỉ dương làm sao bằng âm được ạ? Bạn xem lại đề có sai không ạ ^^

A bag contains 2 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of choosing a red marble, and without replacing it, then drawing a blue marble? P(red, blue)​

Answers

Answer:

P(red, blue) = 1/12

Step-by-step explanation:

The perimeter of a rectangle is 34 units. Its width is 6.5 units.
LAT. write an equation to determine the length

Answers

Answer:

please mark me brainlist

Step-by-step explanation:

Below are the ratings for a sample of 12 hotels in small Ontario towns:

1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2

The critical values of this data set are given:

Q1=4.8 Q2=6.6 Q3=7.2

a) Determine the following and show all work: [3 marks]

i) interquartile range (IQR)

ii) upper boundary and lower boundary

iii) any outlier(s)


b) Create a modified box plot for the data, showing any outlier(s). [1 mark]


c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]

Answers

Answer:

a)

i) Interquartile range is   2.4  

ii) Upper boundary is 10.8  

The Lower boundary is 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1

b) The modified boxplot with one outlier is given in the diagram.                                                          

c) The 80th percentile is    

The minimum rating the hotel can get is 7.3

Step-by-step explanation:

a)

i) Interquartile range is  

IQR = Q3-Q1 = 7.2-4.8 = 2.4  

ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8  

Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1  

c) The 80th percentile is given by  

n= 12  

k = 0.80  

Index is given by k*n =0.80*12 = 9.6  

Round to nearest whole number, that is 10th  

80th percentile is the 10th number (arranged in ascending order)  

80th percentile = 7.3  

The minimum rating the hotel can get is 7.3.

b) The modified boxplot with one outlier is given as follows,  

Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?

Answers

Answer:

56

Step-by-step explanation:

can someone help pls ? :]]

Answers

Answer:

1st option, p and q are both negated

Can someone help me I don't understand

Answers

Answer:

Q'(3,1) R'(2,5) S'(4,3)

Step-by-step explanation:

Q (-4,-4) -4+7= 3 and -4+5=1 so (3,1)

R (-5,0) -5+7=2 and 0+5=5 so (2,5)

S (-3,-2) -3+7=4 and -2+5=3 so (4,3)

(Will give brainliest)
A candy company claims that their bags of jellybeans have a mean weight of 9.45 oz. 125 randomly chosen bags of jellybeans were sampled, and it was discovered that their mean weight was 9.68 oz, with a standard deviation of 1.23 oz. Test this hypothesis using a 99% confidence level.
A- Reject the null hypothesis. There is not enough evidence to oppose the company's claim.
B- Reject the null hypothesis. There is enough evidence to oppose the company's claim.
C- Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
D- Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim.

Answers

Answer: C- Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Note: I'm not sure this is correct o_O

I used a graphing calculator and calculated the t-interval of the jellybean sample using a 99% confidence level:

tInterval 9.68,1.23,125,0.99

It resulted in 9.68 ± 0.287805.

Therefore, we're 99% confident that the weight number of jellybeans would lie between 9.3922 oz and 9.9678 oz.

A weight of 9.45 oz lies within this range, therefore, it is possible that the candy company's claim is true.

Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Mean weight was 9.68 oz

standard deviation of 1.23 oz

n=125

µₙ=9.68

σₙ=1.23/√125

=0.11

Confidence level 99%

z=2.58

-z<x-µₙ/σₙ<z

9.68-2.58(0.11)<x<9.68+2.58(0.11)

9.3962<x<9.9638

9.45 is between this range

Fail to reject the null hypothesis. There is not enough evidence to oppose the companys claim.

Hence, Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

To learn more on Statistics click:

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#SPJ2

What is the intersecting point of these two lines?
1. y = 3/4x + 6
2. y = x + 1

Answers

The answer is Y=3/4x + 6

What will increasing the size of a probability sample do? decrease the level of confidence increase the variability of a sample statistic increase the variability in a population parameter decrease the variability of a sample statistic decrease the variability in a population parameter

Answers

Answer:

Decreases the variability of a sample

Step-by-step explanation:

Given that the items are unrelated random variables, we have that the total of the variances of variates is the variance of their sum, that is the variance of the mean of a distribution is the variance of a sample in the distribution divided by the square root of the number of subjects in the sample (the sample size)

Therefore, we have;

[tex]\sigma_{\overline x} = \dfrac{\sigma }{\sqrt{n} }[/tex]

Therefore, increasing the size of a probability sample, decreases the variability of a sample and increases precision and level of confidence

Helpppp and explain pls and ty

Answers

Step-by-step explanation:

2 gallons are needed for 10 galloms of lemonade

Is 3584 a term of the series 7+14+28+56........?
(please answer if you know; this is the question from geometric series:- General progression)
(full steps and process required)
(No spam answers or else you'll be reported )​

Answers

Answer:

yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{7}[/tex] = 2 , then

[tex]a_{n}[/tex] = 7 [tex](2)^{n-1}[/tex]

Equate [tex]a_{n}[/tex] to 3584 and solve for n

7 [tex](2)^{n-1}[/tex] = 3584 ( divide both sides by 7 )

[tex]2^{n-1}[/tex] = 512 , that is

[tex]2^{n-1}[/tex] = [tex]2^{9}[/tex]

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series

⁴⁄₇ × ²⁄₃

Click the picture so that you can see the whole question

Answers

Answer:

8/21

Step-by-step explanation:

just multiply the numerator and denominator

Find the area of sector TOP in (O using the given information. Leave your
answer in terms of π.
13. r = 5 m, m = 90 degrees

Answers

Answer:

Pls give me the answers as soon as possible and make sure that the answers are correct.

Working as a team, 8 mathletes can solve 20 problems in 10 minutes. At this same rate, how many mathletes are needed in order to solve 30 problems in 5 minutes?

Answers

Answer:

12 mathletes is needed to solve 30 problems in 5 minutes

Step-by-step explanation:

8 athletes can solve 20 problems in 10 minutes

30-20=10

now we need 10 more problems to be solved so

20/2=10. 8/2=4 so we need more 4 mathletes to solve all the problems

Age of Yusuf is 24 years more than half the age of Ajay. 5 years before sum of their ages was 41. Find their present ages.​

Answers

Answer:

Yusuf is 33 and Ajay is 18

Step-by-step explanation:

Let Y and A stand for the ages of Yusuf and Ajay, respectively.

We are told that:

(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]

(A-5)+(Y-5) = 41  [5 years before sum of their ages was 41]

Take the definition of Y in the first equation and use it in the second:

Y = (1/2)A+24 from the first equation

(A-5)+(Y-5) = 41    The second equation

(A-5)+(((1/2)A + 24)-5) = 41  Replace Y with (1/2)A+24

(A-5)+(1/2)A + 24-5 = 41

A-5+(1/2)A + 24-5 = 41

(3/2)A + 14 = 41

(3/2)A = 27

A = (2/3)(27)

A = 18

Ajay is 18 years old

Yusuf is Y=(1/2)(18)+24

Yusuf is 33 years old

====

Check:  Is Yusuf 24 years more than half the age of Ajay?

Ajay = 18, so (1/2)18 = 9.  Add 24 years to get 33.  Yes, this works since Yusuf is 33 years old

Was the sum of their ages = 41 five years ago?

Ajay would have been 13 and Yusuf would have been 28  28+13 = 41  YES

for the function F(x) = 1/4 * 2 ^ I , what is F(3) ?

Answers

Answer:

What I DONT KNOW

Step-by-step explanation:

The midpoint of A (-4, 2) and B(8,5) is
O (2,7/2)
O (-6, 3/2)
O (4,7/2)

Answers

Answer:

(2,7/2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(-4+8) /2 = 4/2 =2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(2+5) /2 = 7/2 =

The midpoint is (2,7/2)

Answer:

(2, [tex]\frac{7}{2}[/tex])

Step-by-step explanation:

Hi there!

We want to find the midpoint of (-4,2) and (8,5)

To do that, we'll use the midpoint formula, which will find the midpoint using the formula ( [tex]\frac{x_1+x_2}{2}[/tex],[tex]\frac{y_1+y_1}{2}[/tex]), where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion

[tex]x_1[/tex]=-4

[tex]y_1[/tex]=2

[tex]x_2[/tex]=8

[tex]y_2[/tex]=5

Now substitute those values into the formula and solve

To find the value of the x-coordinate of the midpoint, use [tex]\frac{x_1+x_2}{2}[/tex]

x=[tex]\frac{-4+8}{2}[/tex]

Add the numbers together on the numerator

x=[tex]\frac{4}{2}[/tex]

Divide

x=2

The value of the x-coordinate is 2

Now find the value of the y coordinate by using [tex]\frac{y_1+y_1}{2}[/tex]

y=[tex]\frac{2+5}{2}[/tex]

Add the numbers together on the numerator

y=[tex]\frac{7}{2}[/tex]

So the point is (2, [tex]\frac{7}{2}[/tex])

Hope this helps!

find the length of side x to the nearest tenth

Answers

Answer:

9.9

Step-by-step explanation:

x = √(7²+7²)

= √(49+49)

= √(49×2)

= 7√2

= 9.9 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

9.9

Step-by-step explanation:

Since this is a right and  isosolese triangle, the adjacent side is also 7, so

c**2 = a**2 + b**2

c**2 = 7**2 + 7**2

c**2 = 49 + 49 = 98

c       = +- (98)**1/2

c = 9.9

URGENT PLS HELP. pls put explanation as well thank you:)

Answers

Answer:

Domain of the given figure is the set of all real numbers.

Step-by-step explanation:

We know that domain is the possible values of x and through the graph it's clear that we can put any value of x in the given function.

What is the area of the circle?

Answers

Diameter = radius x 2

So, the radius is half of the denominator.

10 / 2 = 5

A = pi x r^2

A = pi x 5^2

A =  3 x 25

A = 75 ft^2

Hope this helps!

I need help by 9:30!!! Please help! I would GREATLY appreciate it!!!!!
I have two questions:
1. Which is larger: a or -a
if a > 0 = a___-a
if a = 0. = a___-a
if a < 0 = a___-a

2. Which is larger: 1/a or 1/2a
if a > 0 = 1/a___1/2a
if a < 0 = 1/a___1/2a

Answers

Answer:

1. a>-a

EXAMPLE: 5>-5

2. a=-a

3. a<-a

EXAMPLE: -3<--3 = -3<3

Step-by-step explanation:

f(x) = x + 6, find the ordered pair when x = -2.

Answers

Answer:

(-2,4)

Step-by-step explanation:

ordered pair = coordinates

f(-2) = -2+6 = 4

f(x) = y

Answer- -2,4 I’m pretty sure ?

help! please!!!!!! look at photo :))

Answers

Hey there!

We know that Danielle earns $10 per hour, so muliply that by 3 and get 30.

Because Danielle works an extra half an hour, divide 10 by 2 and get 5.

Danielle earns $35 in 3 hours and a half.

Hope this helps! Please mark me as brainliest!

Have a wonderful day :)

Enter a recursive rule for the geometric sequence?

4, -16, 64, -256,...

a^1 = __; a^n = __


Plzz help!

Answers

Answer:

Step-by-step explanation:

a^1=-2

a^n=a×a^n-1

Can someone please help me with Q2?

Answers

Answer:

To find the point of intersection, you have to set both equations equal to each other and solve. After solving, plug it back into one of the equations. (Its pretty simple so don't worry :] )

y1 = 2x + 4

y2 = 3x-9

y1 = y2

2x + 4 = 3x - 9

4 = x - 9

x = 13

--> Plug x back into an equation for y coordinate. I will be using y1.

2(13) + 4

26 + 4 = 30

y = 30

The point of intersection is (13,30)

Ten people are sitting in a row, and each is thinking of a negative integer no smaller than $-15$. Each person subtracts, from his own number, the number of the person sitting to his right (the rightmost person does nothing). Because he has nothing else to do, the rightmost person observes that all the differences were positive. Let $x$ be the greatest integer owned by one of the 10 people at the beginning. What is the minimum possible value of $x$

Answers

Correct question is;

Ten people are sitting in a row, and each is thinking of a negative integer no smaller than −15. Each person subtracts, from his own number, the number of the person sitting to his right (the rightmost person does nothing). Because he has nothing else to do, the rightmost person observes that all the differences were positive. Let x be the greatest integer owned by one of the 10 people at the beginning. What is the minimum possible value of x?

Answer:

Minimum possible value of x = -6

Step-by-step explanation:

Since there are 10 people and the rightmost person observes that all the differences from the subtraction or positive.

What this implies is that the person on the far left side of the row will have the largest number which from the quewis denoted as x.

Thus, we can say that the person sitting to the far right end on the row will have the smallest integer.

Since we want to minimize x, and for the fact that we are told that each is thinking of a negative integer no smaller than −15, then we will have to make the rightmost person have an integer of -15.

Since there are 9 people remaining on the row, thus, we add 9 to -15 to get the integer of the person for the leftmost person which will be the minimum he will have.

Thus;

-15 + 9 = -6

We have two fractions, 3/4 and 7/6 , and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator?

Answers

Answer:

12,24 etc

Step-by-step explanation:

4 and 6 both go into 12 evenly

4*3 = 12

6*2 = 12

12 is the least common denominator

We could also use 24

4*6 = 24

It is a common denominator, but not the least common denominator

We can use any multiple of 12

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