A set of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars.
A leather sofa has a price of 2410 dollars.
What proportion of sofa prices are higher than the price of the leather sofa?
You may round your answer to four decimal places.
Answers
We have been given that a of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars. A leather sofa has a price of 2410 dollars. We are asked to find the proportion of sofa prices that are higher than the price of the leather sofa.
First of all, we will find the z-score corresponding to sample score 2410.
\(z=\frac{x-\mu}{\sigma}\)
\(z=\frac{2410-2500}{200}\)
\(z=\frac{-90}{200}\)
\(z=-0.45\)
Now we need to find area under normal curve that is greater than z-score of \(-0.45\) that is \(P(z>-0.45)\).
Using formula \(P(z>a)=1-P(z<a)\), we will get:
\(P(z>-0.45)=1-P(z<-0.45)\)
Now we will find area under curve using normal distribution table.
\(P(z>-0.45)=1-0.32636\)
\(P(z>-0.45)=0.67364\)
Upon rounding to 4 decimal places, we will get:
\(P(z>-0.45)\approx 0.6736\)
Therefore, approximately 0.6736 of sofa prices are higher than the price of the leather sofa.
Answer:
0.6736
Step-by-step explanation:
khan academy
Related Questions
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answers
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
I will give BRAINLIEST to whoever answers the question correctly WITH A VALID EXPLANATION. Thank you!
Answers
Answer:
Step-by-step explanation:
(bal - pymt) = (amt chrged on * rate) = interest charged
650 300 350 0.01167 4.0845
354.08 50 304.08 0.01167 3.5486136
307.63 50 257.63 0.01167 3.0065421
260.64 50 210.64 0.01167 2.4581688
213.1 50 163.1 0.01167 1.903377
165 50 115 0.01167 1.34205
total interested charged (add the column) 16.3432515
(yes I cheated and used a spread sheet :) )
Joe must choose a number between 49 and 95 that is a multiple of 3 , 9, and 12 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.
Answers
The first number 49 or larger that is divisible by 3 is 51 (17 * 3 = 51) so begin at 51 and count by 3's until you get to 95:51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93The first number 49 or larger that is divisible by 6 is 54 (6 * 9 - 54) so begin at 54 and count by 6's until you get to 95:54, 60, 66, 72, 78, 84, 90The first number 49 or larger that is divisible by 9 is 54 (9 * 6 - 54) so begin at 54 and count by 9's until you get to 95:54, 63, 72, 81, 90Now look for the numbers that are in all three lists
The Dockland Building in Hamburg, Germany is shaped like a parallelogram.
If the length of the building is 86 meters and its height is 55 meters, what is the area of the face of the building?
Group of answer choices
4,730 meters
4,730 square meters
Answers
Answer:
4,730
Step-by-step explanation:
Multiply 86 by 55 to get 4730
The area of the face of the building is 4,730 square meters
Using this formula
Area=Length×Height
Where:
Length of the building=86 meters
Height of the building =55 meters
Let plug in the formula
Area=86 meters×55 meters
Area=4,730 square meters
Inconclusion The area of the face of the building is 4,730 square meters
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Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.
Answers
Answer:
Yes, they are similar. The scale factor is 5/3
Step-by-step explanation:
The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK
The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR
If the two quadrilaterals are similar, the following proportion must be satisfied:
JM = k*QP
ML = k*PS
KJ = k*RQ
LK = k*SR
where k is the scale factor. Solving for k and replacing with lengths:
k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3
From the figure, we can also see that:
∠M ≅ ∠P
∠L ≅ ∠S
∠R ≅ ∠K
∠Q ≅ ∠J
Therefore, the two quadrilaterals are similar.
Two brothers are planning to build a shed. The plan says they need 30 pieces of ply wood, 20 packs of bricks, and 6 packs screws/nails. The brothers need to now if they can afford it all.
25.00 for 1 ply wood
2.00 for 1 brick
20.00 for 1 pack of screws
The brothers have 890.20 dollars. Do they have an enough to build the shed?
Explain your answer and show your work.
Answers
Answer:
They need $910 in total for all the supplies but they only have $890.20, so no they don’t have enough.
Step-by-step explanation:
30 pieces of plywood x $25.00 per ply wood = 30 x 25= 750
20 packs of bricks x $2 per brick= 20 x 2= 40
6 pack of screws x $20 per pack = 6 x 20= 120
750 + 40 + 120= 910
In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C
Answers
Answer:
B
Step-by-step explanation:
Interior angles of a triangle = 180°
3x°+3x+10°+4x-30°=180°
10x°-20°=180°
10x°=180°+20°
10x°= 200°
10x°/10=200°/10
x°=20°
Hence, the angle is \(x=20\) degree.
What is the angle?
An angle can be defined as the figure formed by two rays meeting at a common end point.
Here given that,
As we know that the sum of interior angles of a triangle is \(180\) degree.
\(3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20\)
Hence, the angle is \(x=20\) degree.
To know more about the angle
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Evangeline is making snake bags for her class. If she can fill 5/8 of her snack bags with 1 1/3 cups of pretzel, how many cup of pretzels are needed to fill all of the snake bags? Write a multiplication equation and a division equation for the situation, then answer the question.
Answers
Answer:
8/3
Step-by-step explanation:
ik this bec im in hs
Without using a calculator, convert the fraction to a decimal.
2/4=?
Answers
So .50
To convert the fraction 2/4 to a decimal, we can perform the division 2 divided by 4 using long division or mental math.
2 ÷ 4 = 0.5
Therefore, 2/4 as a decimal is 0.5.
in a baking recipe, there is a proportional relationship between the number of cups of flour and the number of cups of sugar. What does that mean? Tell at least two things you know are true about this relationship.
Answers
By creating a proportion equation and applying the knowledge of fractions, the number of cups of sugar used for 1 cup of flour will be: cup of sugar.
To find the number of cups of sugar that will be used for a cup of flour, we would apply out knowledge of proportion and fractions.
Using proportion equation, we would create an equation to enable us look for the quantity of sugar that would be used for 1 cup of flour.
Using the table given,
cups of sugar was used for cups of flour
Therefore:
Let x represent the number of cup of sugars that will be used for 1 cup of flour.
Creating a proportion equation, we will have:
Cross multiply
Change the fractions to improper fractions and solve for x
Multiply both sides by 2
Divide both sides by 15
Therefore, by creating a proportion equation and applying the knowledge of fractions, the number of cups of sugar used for 1 cup of flour will be: cup of sugar.
What is the most appropriate measure of center and what does it describe in the high jump heights data set?
Answers
Answer:
The best measure of center would be the median and its describes the greatest and lowest height.
Step-by-step explanation:
It would be the median because putting them all in a line and counting in helps to find the median but also since there is a space, you know that it automatically has to be the median and since there is that space it would have to be describing the greatest and lowest heights.
Which equation will yield the time it takes for the candles to burn down to the same height?
How much time will it take for the candles to burn down to the same height?
Answers
Answer:
(i) Equation is
\(12 - \displaystyle {\dfrac{3}{4}x = 18-3x\\\\\)
This would be choice C
(ii) 2 hours and 40 minutes which is Choice A
Step-by-step explanation:
Let the time taken for both candles to burn down to the same length be x hours
\(\textrm{The rate at which the 12 inch candle burns } = \dfrac{3}{4} \textrm{ inches per hour}\\\\\)
In time x hours, this candle would have burnt
\(\displaystyle {\dfrac{3}{4}x \;}\textrm{inches}\)
Height of 12" candle after x hours =
\(12 - \displaystyle {\dfrac{3}{4}x \;}\textrm{inches}\)
The 18" candle burns at the rate of 3" per hour
So height of candle after x hours = 18 - 3x
Both these quantities must be equal
\(12 - \displaystyle {\dfrac{3}{4}x = 18-3x\\\\\)
Solving for x:
1. Multiply both sides by 4
48 - 3x = 72 - 12x
2. Add 3x to both sides:
48 = 72 - 12x + 3x
48 = 72 - 9x
3. Subtract 72 from both sides:
48-72 = - 9x
==> -24 = -9x
4. Switch sides
-9x = -24
5. Multiply by -1
9x = 24
6. Divide by 9 to get
x = 24/9 = 2 2/3 hours
2/3 hour = 2/3 x 60 = 40 minutes
So total time taken for both candles to reach the same height is
2 hours and 40 minutes (Choice A)
1- 12- 3/4 x = 18 - 3x
(C)
2- 2 hours and 40 minutes
(A)
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answers
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
Jacob has driven 204 miles in three hours. If his speed remains constant, what will be the total number of miles covered in 4 1/2 hours?
Responses
306 miles
102 miles
918 miles
272 miles
Answers
Explanation:
We can work this out easier with simpler numbers. To get these we can do 204 divided by 3. We do this to find the miles he travels in just one hour. Then, we can multiply this (68) by 4 and 1/2. 68 X 4 1/2 = 306
Maggie has a rectangular box with a length of 6 1/2 inches, a width of 9 inches and a height of 9 1/2 inches.
What is the volume of Maggies box ?\
Answers
Answer:
555 3/4 inches³
Step-by-step explanation:
*To find volume, you just multiply the three lengths together*
1. 6 1/2 x 9 = 58 1/2
2. 58 1/2 x 9 1/2 = 555 3/4
When you do volume, your answer must end in inches "cubed" which is the three that hangs in the air since cubed means to the third power.
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
The mean of the group that studied is about 16 points ___ (lower, higher)
than the mean of the group that did not study.
The MAD of the group that did not study is about ___ (twice / half)
as much as the MAD of the group that did study.
There is more variation in the scores of the group that ___ (study / not study)
.
Answers
Answer:
Blank 1: higher
Blank 2: half
Blank 3: not study
Step-by-step explanation:
I don't know 100% that the middle one is correct, but I know for sure the other two are.
Answer:
1- Higher
2- Twice
3- Did not study
Step-by-step explanation:
Help me ASAP I AM ALL MOST DONE!!! >:d
Answers
Answer:
\(24ft^2\)
Step-by-step explanation:
the formula for the area of a triangle is base*height divided by 2
\(\frac{6*8}{2} =24\)
Luis is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 12 inches × 13
1
3
inches. He needs to cut another rectangle that is 10
1
2
inches by 10
1
3
inches. How many total square inches of construction paper does Luis need for his project?
Answers
Answer: 356 total square inches
Step-by-step explanation: (12*13)+(10*10)=156+100=356 square inches
Simplify:
14g(5+3)−4g+13
A
−2g+13
B
−154g+21
C
−114g+16
D
−2g+21
Answers
Answer:
D
Step-by-step explanation: Hope it help! :D
During a thunderstorm yesterday, 600 millimeters of rain fell in 30 minutes. What is the unit rate for millimeters per minute? Describe a situation in which it would be useful to know this unit rate. Explain why the unit rate would be useful.
thank you in advance!!!
Answers
Answer:
20mm/min
because if there is 600mm of rain in 30 min then to find out how much came in 1 min is to divide 600/30 which comes out to 20/1.
this unit rate would be important if you needed to measure how much rain came every year to see the difference in weather its increasing or decreasing.
Look at the shapes in the example. Write the name of the shapes that belong in each group shown in the table below. parallel sides, only perpendicular sides only, parallel and perpendicular sides
Answers
Step-by-step explanation:
1. A triangle has perpendicular sides only.
2. A rectangle has only parallel sides.
3. A parallelogram has only parallel sides.
4. A trapezoid has both parallel and perpendicular sides.
5. A right triangle has only perpendicular sides.
Find the value of x.
Answers
Answer:
x = 36°
Step-by-step explanation:
Sum of angles = 180°
66°+78°+x = 180°
144°+x = 180°
x = 180°-144°
x = 36°
Hope it helps!
180 is the starting number for all triangles problems like this
180-78-66=36
Please Hurry. I need this answer quickly please.
Answers
Answer:63
Step-by-step explanation:
multiply 72 by 7 then divide i by 8
(72×7)/8
=63
It's 63.
simplify the equation 7/8×72 multiple 7×9 solution is 63
I need help with this question, I'm not very good at math and all help is appreciated!
Answers
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
\(\frac{J}{H} = G + \frac{I}{H}\) >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
\(\frac{J}{H}- \frac{I}{H} = G\) >There is a common denominator so you can
combine the fractions
\(\frac{J-I}{H} = G\) >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
\(J-I = G(H)\) >Divide both sides by G
\(\frac{J-I}{G} = H\) >Answer is A
-12 = 3x + 3 can you solve this i am so lost AND it is worth 10 points
TANKS FOR HELPING
Answers
Answer:
x= -5
Step-by-step explanation:
-3x= 3+12-3x= 15x= -53-3= 0
-12-3=-15
-15/3
X= -5
using the ordered pairs (x, y) in the table
what is the proportionality constant or the rate of change?
Answers
The amount Abby pays her dog walker is $24 per day. Chuck pays a flat fee of $12 plus $18 per day. Write and solve an inequality to determine the number of days after which the amount Chuck pays will be more than the amount Abby pays?
Answers
Answer:
i highly recommend its on android and iphone you can use ur camera to answer any mathematical question
Answer:
2
Step-by-step explanation:
24x=12+18x
12 pizzas on 2 plates = ___ plates per pizza
Answers
Answer:
Step-by-step explanation: 12X2=24 pizza pieces on the two plates in all.
please help! its overdue
Answers
Answer:
A, B, & C
Step-by-step explanation: