suppose that prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between 150,000 and 154,200, if the standard deviation is 1,400. a.) 49.85% b.) 47.5% c.) 34% d.) 99.7%
49.85% of buyers paid between 150,000 and 154,200
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.
Given that mean (μ) = 150000, standard deviation σ = 1400
68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)
95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)
99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)
The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%
Hence 49.85% of buyers paid between 150,000 and 154,200
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Linda has 28 jackets 7 of them so it have a cap write 2 ratios that compare the number of jackets without caps to the number of jackets with caps?
Answer: (5/12)m
Step-by-step explanation: hope this helps (～﹃～)~zZ
a
Lucy has a coin collection. She keeps 3 of the coins in her box, which is 25% of the
collection. How many total coins are in her collection?
Multiply/scale up to solve.
coins
3
25
100
percent
Answer:
3x4=12
12 coins in her collection
Step-by-step explanation:
25x4=100%
-1/3(2p-9) what does p equal
Answer:
-2p/3+3
Step-by-step explanation:
Looking for help pleaseeee
Answer:
an = a(n-1) -4
Step-by-step explanation:
From the table we see that
a1 = 15 , a2 = 11, a3 = 7 , a4= 3, a5 = -1...
Notice the numbers decrease by 4 so
a2 = a1 -4
a3 = a2 -4
a4 =a3 -4
a5= a4-4
generalized we will have
an = a n-1 -4
How to write in Simplified slope intercept form
Answer:
y = -5/3x + 8
Step-by-step explanation:
So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.
Gina places biscuits in a circular pan in the fashion shown below. What is the area of the pan not covered by a
biscuit if the diameter of each biscuit is 2 cm? Use 3.14 for pi.
A. 6.28 cm2
B. 113.04 cm2
C. 3.14 cm2
D. 21.98 cm2
E. 28.26 cm2
Answer:
that isnt the full question like what is the area of the pan and stuff
Step-by-step explanation:
3. One leg of a right triangle measures 10 inches while the other leg measures 21 inches. What is the length of the hypotenuse?
A) c = 9in
B) c = 11in
C) c = 12in
D) c = 7in
4. If the length of the hypotenuse is 10m and its base leg is 6m, what is the length of its remaining leg?
A) a = 8m
B) a = 9m
C) a = 12m
D) a = 10m
5. The altitudes of a right triangle has a length of 32cm. It’s hypotenuse measures 9cm. How long is its base leg?
A) b = 5cm
B) b = 7cm
C) b = 6cm
D) b = 9cm
6. Ben pushes a stick in the ground next to a flag pole so that its measure from the ground is 1 foot. The stick casts a shadow of 4 feet while the flag pole casts a parallel shadow of 60 feet. How tall is the
Step-by-step explanation:
Pythagoras formula for the relation of the side lengths in a right-angled triangle :
c² = a² + b²
c is the Hypotenuse, the side opposite of the 90 degree angle.
a and b are the "legs".
3.
c² = 10² + 21² = 100 + 441 = 541
c = sqrt(541) = 23.2594066...in
so, none of the provided answers. are you sure you put the right numbers ? maybe the second leg is sqrt(21) instead of 21 ? because then it would be
c² = 10² + sqrt(21)² = 100 + 21 = 121
c = 11in
4.
10² = a² + 6²
100 = a² + 36
64 = a²
a = 8 m
5.
again, there must be something wrong. the height of the triangle cannot be longer than the legs of the triangle.
given the answer options of 5 - 9 cm it cannot be 32cm. maybe you mean 3.2 cm ?
also interesting that it says "attitudes" - plural. what do you mean by that ?
because there is something else missing. like how long are the segments of the Hypotenuse where the height (or altitude) is touching the Hypotenuse ?
with just the Hypotenuse length and the height length we cannot calculate the other parts of the triangle, because we can move the height freely along the Hypotenuse and draw fitting right-angled triangles on that "skeleton".
6.
similar triangles. that means the lengths of corresponding lines (like sides or heights) are all in relation with the same scaling factor.
so, the small triangle has its "height" side of 1 ft, and multiplying with the scaling factor would then give us the height of the flag pole.
what is the scaling factor ? we get that from the pair of corresponding sides we already know : the shadows.
going from the small to the large triangle we have to transform 4ft into 60ft.
what do I have to multiply 4 with to get 60 ?
4 × x = 60
x = 60/4 = 15
so, the flag pole is
15×1 = 15ft tall.
4,505 in expanded form
can someone help me please i need to get this right
Answer:
If there are 2 quarters for every 3 nickels,
then there are [tex]45*\frac{2}{3} =30[/tex] quarters.
If there are 2 dimes for every quarter,
then there are [tex]30*2=60[/tex] dimes.
If the number of pennies and nickels together are equal to the number of dimes, then there are [tex]60-45=15[/tex] pennies.
what is the answer to 5+3x(5-2) ^2
Answer:
576
Step-by-step explanation:
5 + 3 = 8
5 - 2 = 3
8 x 3 = 24
24 to the second power is 576
Answer:
27x+5
Step-by-step explanation:
5+3x(5-2)^2
5+3x(3)^2
5+3x*9
5+27x
27x+5
I don’t understand can someone tell me the answer
Answer:
12>x>10
Step-by-step explanation:
-25<-3x+5
-3x+5<-31
Help pls
Which statement correctly describes the picture?
Answer:
D
Step-by-step explanation: The line GH has an arrow, so is designated as GH with an arrow over it. The line EF has no direction (no arrow), so it is represented simply as EF with a line, with no arrow. The point P is, well, just point P.
If m<8= x°, which angles have a measure of 180º – xº? Select all that apply.
<3
<4
<6
<10
Answer:
∠6, ∠10
Step-by-step explanation:
Apparently, we are to assume that the avenues are parallel.
The angles that form a linear pair with ∠8 will be supplementary: ∠6 and ∠7. The angles that correspond to those will also be supplementary to angle 8: ∠10 and ∠11.
Among the answer choices ∠3, ∠4, ∠6, ∠10, only ∠6 and ∠10 are equal to 180° -x.
_____
Additional comment
It appears we are to assume that 1st Ave is parallel to 2nd Ave. If that is the case, then we might also assume that D Street is perpendicular to those avenues. In that case, all of angles 5, 6, 7, 9, 10, 11, 12 are equal to 180° -x, because x and all of those are all 90°.
I need help on
3-6a=9-6a
Answer:
3 = 9
Step-by-step explanation:
Simplifying 3 + -6a = 9 + -6a Add '6a' to each side of the equation. 3 + -6a + 6a = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 0 = 9 + -6a + 6a 3 = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 = 9 + 0 3 = 9 Solving 3 = 9 Couldn't find a variable to solve for.
Two friends, Gabriel and Hudson, had just bought their first cars. Gabriel uses 10 gallons of gas to drive 339 miles in his car. The table below represents the number of miles, yy, that Hudson can drive his car for every xx gallons of gas.
How much farther can Gabriel's car travel on one gallon of gas than Hudson's car?
Answer- 15.8 Miles
Explanation photo was given above.
Given that y varies with directly with x, and that y= 12 when x=3. Then when x=10, y= ?
Answer:
y = 40
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = 3 , then
12 = 3k ( divide both sides by 3 )
4 = k
y = 4x ← equation of variation
When x = 10 , then
y = 4 × 10 = 40
Points A,B,C are collinear. explain what is wrong with this picture. Use the linear pair theorem in your explanation
Answer:
hey can u help me with my work i posted i promise ill help u back
what is half of 56 ft or 56 mm
Do you want the half of 56 ft or 56 mm? In both the case, you'll get the same value...you just need to change the unit.
Half of 56 ft
= ½ × 56
= 56/2
= 28 ft
Half of 56 mm
= ½ × 56
= 56/2
= 28 mm
_______
Hope it helps ⚜:))
What is the answer to the first one?
Answer:
8
Step-by-step explanation:
2(-2)^2 =10 +-2 =8
how do you convert 56 feet into a decimal please help me pleaseeee
Answer:
[tex] \: [/tex]
One Square Feet is equivalent to 0.0022956820843815 Decimal.
Hence, to convert Square Feet to Decimal, we just need to multiply the number by 0.0022956820843815.
We are going to use very simple Square Feet to Decimal conversion formula for that.
see the calculation example given below.
Convert 56 Square Feet to Decimal ⇒ 56 Square Feet
= 56 × 0.0022956820843815 = 0.12855819672536 Decimal
The hypotenuse of a right triangle measures 9 cm and one of its legs measures 4 cm. Find the measure of the other leg.
Answer:
The other leg is √65 cm
Step-by-step explanation:
Hi there!
We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm
We want to find the measure of the other leg
In right triangles, we can use the theorem to find the value of a side, if we know the lengths of the other two sides
The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse
If we say a is 4 and c is 9, then the equation will look like this:
(4)²+b²=(9)²
Raise each number to the second power
16 + b²= 81
Subtract 16 from both sides
b²=65
Take the square root of 65
b=√65, -√65
-√65 is not an applicable root for this problem, since distance cannot be negative
Hence, our answer is √65 cm
Hope this helps!
American society is made up of people of the same cultural background.
Please select the best answer from the choices provided
T
F
Answer:
false
Step-by-step explanation:
24 pens in 2 boxes How many pens in 1 box?__________
find unit rate
answer and explain briefly
Answer:
Step-by-step explanation:
251 divided by something has to equal to a number it will divide by...
2 3 = 2x 2 x 2 = 8
x
p 2 = pxp
251 divided by 25 x8
/49 x8
/100x8
/4x 8
so I would say 5
please help please help
Answer:
C.) =
Step-by-step explanation:
the absolute value of 5 is 5, and the absolute value of -5 is 5, so they will be equal
Answer:
=
Step-by-step explanation:
The absolute value of a number is how far the number is from zero on a number line.
Both 5 and -5 are 5 units from zero on a number line, so
|5| = |-5| since |5| = 5 and |-5| = 5.
please help this is a hard question and i just cant figure it out
Answer:
y=x+6.
Step-by-step explanation:
the slope-interception form is: y=s*x+i, where s - slope, i - interception.
according to the data in the graph i=6, s=1, then finally,
y=x+6.
Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?
Answer:
it would be y=|x+6|
help, please i cant do this
============================================================
Explanation:
Use the pythagorean theorem to tie together the three sides of the right triangle.
[tex]a = x-3 = \text{horizontal leg}\\b = x+5 = \text{vertical leg}\\c = 9 = \text{hypotenuse}[/tex]
[tex]a^2 + b^2 = c^2\\(x-3)^2 + (x+5)^2 = 9^2\\x^2-6x+9 + x^2+10x+25 = 81\\2x^2+4x+34 = 81\\2x^2+4x+34-81=0\\2x^2+4x-47=0\\[/tex]
From here, we use the quadratic formula to solve for x.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(4)\pm\sqrt{(4)^2-4(2)(-47)}}{2(2)}\\\\x = \frac{-4\pm\sqrt{392}}{4}\\\\x \approx \frac{-4\pm19.79898987}{4}\\\\x \approx \frac{-4+19.79898987}{4} \ \text{ or } \ x \approx \frac{-4-19.79898987}{4}\\\\x \approx \frac{15.79898987}{4} \ \text{ or } \ x \approx \frac{-23.79898987}{4}\\\\x \approx 3.94974747 \ \text{ or } \ x \approx -5.94974745\\\\[/tex]
We'll ignore the negative x value because it makes the sides x+5 and x-3 to be negative numbers. Negative side lengths make no sense.
The only practical solution is roughly x = 3.94974747; rounding to 3 sig figs leads to the final answer of x = 3.95
In this case, 3 sig figs means that we're rounding to 2 decimal places.
the following are polynomials EXPECT
Answer:
where the numbers at???
Step-by-step explanation: