Answer:
AC is straight line.
72°+3x=180°[linear pair]
3x=180°-72°
3x=108°
x=108°/3
x=36°
option c.
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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POINT out the correct ANSWER (Free_
You get 35 points for free by answering one question
How many points do you get by answering this question?
Answer:
40...................................
Answer:
35 points because you said so O-O
y=2x+3=
please help me i have test
[tex] \: \: \: \: \: [/tex]
[tex] = \: \: \: x = - \frac{3}{2 } \\ \\ [/tex]
hope it helpsrefer to attachment
[tex] \: \: \: \: \: [/tex]
Please help with this
Answer:
AAA?
Step-by-step explanation
ROUND TO THE NEAREST WHOLE NUMBER
16968.3
Answer:
16968
Step-by-step explanation:
Answer:
16,968
Hope this helps :)
During a restaurant promotion, 3 out of every 25 customers receive a $10 coupon to use on their next visit. If there were 150 customers at the restaurant today, what was the total value of the coupons that were given out?
A)$10
B) $18
C) $150
D) $180
Answer:
$180
Step-by-step explanation:
150 ÷ 25 = 6
6×3 = 18
18×10 = 180
The total value of the coupons that were given out is $180.
Correct option is (D).
What is Arithmetic?The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
3 out of every 25 customers receive a $10 coupon to use on their next visit.
Customers at the restaurant today = 150
For 25 customers = 3 coupons
For (25 × 6 = 150) customers = (3 × 6 = 18) coupons
Total value of the coupons = 18 × 10 = $180
Hence, the total value of the coupons that were given out is $180.
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Clara writes the equation (x â€"" 13)(x 8) = 196 to solve for the missing side length of a rectangle represented by the factor x 8. What is the missing side length represented by x 8 units of the rectangle? 7 15 20 28.
Answer:
The Answer is 28. Please mark the brainliest! And thanks!
Step-by-step explanation:
Did with a teacher!
7 2/9 + -5 1/5 =
show your work, show me how you got this answer
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
Find LCM of the denominators and find equivalent fraction.
Now, subtract
[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]
[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]
LCM of 9 and 5 = 45
[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]
[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]
[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]
A rectangle has an area of 1,450.8 square inches and a base of 37.2 inches. What is the height?
Answer:
39
Step-by-step explanation:
1450.8 / 37.2 = 39
7x + 2y = -7
11x + 5y = 2
Answer:
x=−3 and y=7
Step-by-step explanation Solve: 7x+2y=−7for x:
7x+2y=−7
7x+2y+−2y=−7+−2y(Add -2y to both sides)
7x=−2y−7
7x
7
=
−2y−7
7
(Divide both sides by 7)
x=
−2
7
y−1
------------
−2
7
y−1forxin11x+5y=2:
11x+5y=2
11(
−2
7
y−1)+5y=2
13
7
y−11=2(Simplify both sides of the equation)
13
7
y−11+11=2+11(Add 11 to both sides)
13
7
y=13
13
7
y
13
7
=
13
13
7
(Divide both sides by 13/7)
y=7
------------------------
Substitute7foryinx=
−2
7
y−1:
x=
−2
7
y−1
x=
−2
7
(7)−1
x=−3(Simplify both sides of the equation)
im so confused can someone help me please
Answer:
1. false
2. false
3. false
4. true
Step-by-step explanation:
a quadritilateral always has 4 sides, but it dpesnt HAVE to be a square
a parrellelogram can be any shap as long as its parrelel
a rhombus is always a square, becuase if you turn it around... VIOLA! you get a square.
How do I solve this :
3x + y= 1 and x - 2y = 5
Answer:
(1,-2)
Step-by-step explanation:
x - 2y = 5
3x + y= 1 (1)
x - 2y = 5
x = 5 + 2y (2)
Substitute (2) into (1)
3x + y = 1
3(5 + 2y) +y = 1
15 + 6y + y = 1
15 + 7y = 1
7y = 1 - 15
7y = -14
y = -2 (3)
Plug (3) into (1) to find x
3x + y = 1
3x + (-2) = 1
3x - 2 = 1
3x = 3
x = 1
(1,-2)
What is the area of the following triangle in square meters? Do not round your answer. A =
WITH THE RIGHT ANSWER WILL RECEIVE BRAINLIEST
Answer:
0.324 m²
Step-by-step explanation:
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2
54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)
and we apply the formula
1.2 * 0.54 : 2 =
0.324 m²
Answer:
32.4? or 0.324 m²
Step-by-step explanation:
Which elements are involved in physical weathering?
Air, salt, rivers, sand, and ice
Air, water, ice, temperature, and plants
Animals, water, pressure, sediment, and gravity
Temperature, animals, ice, gravity, and plants
Answer:
heat, water, ice, or other agents
Step-by-step explanation:
SOS need help on this question
Answer:
x < 4
Step-by-step explanation:
3x - 3 < 9
3x - 3 + 3 < 9 + 3
3x < 12
[tex]\frac{3x}{3} <\frac{12}{3}[/tex]
x < 4
Answer:
the answer is x is less than 4
Step-by-step explanation:
3x-3<9
3x-3+3<9+3
-3deleted by +3
so we get 3x<12. over 3 over 3 and we got
x<4
Joyce buys a bus pass for the month of march for $32.55.How much does the bus pass cost per day?
Answer 1.085
dd
sa
d
sd
a
ds
d
The bus pass cost per day will be $1.05 per day.
What is the rate?The rate is the ratio of the amount of something to a certain unit.
For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.
Joyce buys a bus pass for the month of March for $32.55.
In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.
⇒ $32.55 / 31
⇒ $1.05 per day
The bus pass cost per day will be $1.05 per day.
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In the diagram below, \overline{ST} ST is parallel to \overline{PQ} PQ. If STST is 55 more than QTQT, RT=10RT=10, and PQ=15PQ=15, find the length of \overline{QT} QT. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.PQRTS
The length of the [tex]\overline{QT}[/tex] can be determined using the given information and
the relationship between corresponding sides of similar triangles.
[tex]\underline{\overline{QT} = 5}[/tex]Reasons:
The given parameters are;
[tex]\overline{ST} \parallel \overline{PQ}[/tex]
ST = QT + 5
RT = 10
PQ = 15
Required: The length of [tex]\overline{QT}[/tex]
Solution:
Using the relationship between corresponding sides of similar triangles, ΔRST and ΔRPQ, we have;
[tex]\displaystyle \frac{\overline{ST}}{\overline{RT}} = \mathbf{\frac{\overline{PQ}}{\overline{RQ}}}[/tex]RQ = QT + RT
Therefore;
[tex]\displaystyle \frac{\overline{ST}}{\overline{RT}} = \mathbf{\frac{\overline{PQ}}{\overline{QT} + \overline{RT}}}[/tex]Which gives;
[tex]\displaystyle \frac{\overline{QT} + 5}{\overline{RT}} = \frac{\overline{PQ}}{\overline{QT} + \overline{RT}}[/tex]
Plugging in the known values gives;
[tex]\displaystyle \frac{\overline{QT} + 5}{10} = \mathbf{\frac{15}{\overline{QT} + 10}}[/tex]
[tex](\overline{QT} + 5) \times (\overline{QT} + 10) = 10 \times 15[/tex]
[tex]\overline{QT}^2 + 10\cdot \overline{QT} + 5\cdot \overline{QT} + 50 = 10 \times 15[/tex]
[tex]\overline{QT}^2 + 15\cdot \overline{QT} + 50 - 150= 0[/tex]
[tex]\mathbf{\overline{QT}^2 + 15\cdot \overline{QT} -100} = 0[/tex]
Factorizing with a graphing calculator gives;
[tex](\overline{QT} -5) \cdot (\overline{QT} + 20)= 0[/tex]
[tex]\mathbf{\overline{QT} = 5} \ or \ \overline{QT} = -20[/tex]
Therefore, given that [tex]\overline{QT}[/tex] is a natural number, we have;
[tex]\underline{\overline{QT} = 5}[/tex]
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Solve the following system of equations graphically on the set of axes below.y= \frac{1}{4}x+5y=41x+5y= -x-5y=−x−5
Answer:
b
Step-by-step explanation:
what is this matrix called
[2,5,6]
Answer:
The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.
The HCF of 50 and 80
what is 800 x 900 x 500????
Answer:
its: 360,000,000
Step-by-step explanation:
good luck
Answer:
[tex]3.6 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex]800 \times 900 \times 500 \\ = 8 \times 9 \times 5 \times {10}^{6} \\ = 360 \times {10}^{6} \\ = 3.6 \times {10}^{8} [/tex]
Solve the system by substitution
y=-8x -24
y=-4x
Answer: 8
Step-by-step explanation:
plug y into the first equation:
8x+5y=24
8x+5(-4x)=24
8x-20x=24
-12x=24
x=-24/12
x=-2
then plug x to the second equation
y=-4
y=-4(-2)
y=8
x=-2
y=8
Answer:
(- 6, 24 )
Step-by-step explanation:
y = - 8x - 24 → (1)
y = - 4x → (2)
Substitute y = - 4x into (1)
- 4x = - 8x - 24 ( add 8x to both sides )
4x = - 24 ( divide both sides by 4 )
x = - 6
Substitute x = - 6 into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 4(- 6) = 24
solution is (- 6, 24 )
PLZ HELP!!!!!!!!!!!!!!
Answer:
183in^2
Step-by-step explanation:
Given that the length is 15 in and the width is 26 in we can figure out the area of a full rectangle.
15x26=390in
We now want to figure out the small rectangle on the bottom of the image.
The area of a triangle is A=hb/2
A=6x15/2=45
In the image, you can see that the rectangle is incomplete and missing part of it. It's missing a triangle so in order to complete the rectangle you multiply 45x2.
45x2=90
Finally, we can solve for the remaining triangle.
A=9x26/2=117
Add up the triangles and subtract the sum from the area of the rectangle to get the shaded area.
390-(90+117)=183in^2
Hope this helps :)
Find the value of x and angle AKB
If I add 60 to 325 and then subtract 40, the answer I get will be equal to
Answer:
345
Step-by-step explanation:
On adding 60 to 325 and then subtracting 40 the answer will be 345.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given numbers 60, 325, and 40. The expression will be formed as below:-
E = 60 + 325 - 40
E = 385 - 40
E = 345
Therefore, on adding 60 to 325 and then subtracting 40 the answer will be 345.
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pls help quick :( worth 20 pts
Answer:
Answer A
Step-by-step explanation:
From the image, it looks like the answer is y<1/2x+2 because the shading of the line is below, as well as the points of interception are 4 and 2. I hope this helps!
Match the following equation to the correct situation.
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
hope it can help you lovelots
What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
y= ⅔x -2
Step-by-step explanation:
slope-intercept form
y= mx +b, where m is the slope and b is the y-intercept.
Two given coordinates: (-3, -4) and (6, 2)
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope
[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]
[tex] = \frac{2 + 4}{6 + 3} [/tex]
[tex] = \frac{6}{9} [/tex]
[tex] = \frac{2}{3} [/tex]
Substitute m= ⅔ into the equation:
y= ⅔x +b
From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).
Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.
When x= 6, y= 2,
[tex]2 = \frac{2}{3} (6) + b[/tex]
2= 4 +b
b= 2 -4
b= -2
Thus the equation of the line is y= ⅔x -2.
5/15 = n/9 someone help me (proportions)
Answer:
n = 3
Step-by-step explanation:
[tex]\frac{5}{15} = \frac{n}{9}[/tex]
Cross multiply
15n = 45
Divide
15n/15 = 45/15
n = 3
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS PLS ANSWER
Answer:
4
Step-by-step explanation:
I think if not sorry