Answer:
14300
Step-by-step explanation:
12500-26800
the weights of students in a junior college are normally distributed with a mean of 100 lbs. and a standard deviation of 18 lbs. What is the probability that a student drawn at random will weigh less than 150 lbs
Answer: 0.9973 .
Step-by-step explanation:
Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.
Let X denotes the random variable that represents the weights of students .
Then, the probability that a student drawn at random will weigh less than 150 lbs will be :
[tex]P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}][/tex]
Hence, the e=required probability is 0.9973 .
What is the difference between the high and low temp in the thermometer?
Answer:
The difference between the high and low temperature in the thermometer is 23°F.
Step-by-step explanation:
Given information: Highest temperature = 20°F and the lowest temperature = -3°F.
We need to find the difference between the high and low temperature in the thermometer.
Difference between the high and low temperature is
Difference = Highest temperature - Lowest temperature
Difference = 20°F - (-3°F)
Difference = 20°F + 3°F
Difference = 23°F
Therefore the difference between the high and low temperature in the thermometer is 23°F.
(-4x2)^2 / 2-9-5 how do I simplify
Answer:
-16/3
Step-by-step explanation:
To solve for this use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)
First multiply -4 and 2 (-8)
(-8)^2/2-9-5
Next find out what -8 squared is (64)
64/2-9-5
Now simplify the denominator
64/-12
Lastly, divide 64 and -12
-16/3
Use inductive reasoning to determine the next three terms in the sequence. 3, -6, 12, -24, 48,
Answer:
The next three terms in this sequence will be, -96, 192, and -384.
Hope this helped have a blessed day
Step-by-step explanation:
Please explain also
Answer:
300 m^2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask =)
What is 10^5 as a decimal
Answer:
10^5=100000
Step-by-step explanation:
Write an equation to represent each situation. a) Blueberries are $4.99 a pound. Diego buys b pounds of blueberries and pays $14.95. b) Blueberries are $4.99 a pound. Jada buys p pounds of blueberries and pays c dollars. c) Blueberries are d dollars a pound. Lin buys q pounds of blueberries and pays t dollars.
Answer:
A) $4.99b = $14.95
B) $4.99p = $c
C) $qd = $t
Step-by-step explanation:
A) We are told that cost of blueberries is $4.99 a pound.
Now, Diego buys b pounds of blueberries and pays $14.95.
Since 1 pound costs $4.99, then b pounds will cost $4.99b
Since he paid $14.95, then the equation is;
$4.99b = $14.95
B) We are told that cost of blueberries is $4.99 a pound.
Now, Jada buys p pounds of blueberries and pays $c.
Since 1 pound costs $4.99, then p pounds will cost $4.99p
Since he paid $c, then the equation is;
$4.99p = $c
C) We are told that cost of blueberries is $d a pound.
Now, Lin buys q pounds of blueberries and pays $t.
Since 1 pound costs $d, then q pounds will cost $qd
Since he paid $t, then the equation is;
$qd = $t
help to! this is also due today !
Answer:
9.
Step-by-step explanation:
The square root of 81 is 9 so therefore the answer is 9.
In 3x² - x + 5 = 0, what is the quadratic term
Step-by-step explanation:
Quadratic term = Coefficient of x^2 term = 3.
A triangle has side lengths of (6.4c-2.5)(6.4c−2.5) centimeters, (8.7c-7.8)(8.7c−7.8) centimeters, and (6.4d-1.2)(6.4d−1.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
15.1c + 6.4d - 11.5
Step-by-step explanation:
Given the following :
Lengths of the side of a triangle :
(6.4c-2.5) centimeters
(8.7c-7.8) centimeters
(6.4d-1.2) centimeters
Assume the sides Given are labeled A, B and C respectively,
The perimeter of a triangle is related vyvtge formula :
Perimeter = (A + B + C)
Perimeter = (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)
= (6.4c - 2.5) + (8.7c - 7.8) + (6.4d - 1.2)
= 6.4c - 2.5 + 8.7c - 7.8 + 6.4d - 1.2
= 6.4c + 8.7c + 6.4d - 2.5 - 7.8 - 1.2
= 15.1c + 6.4d - 11.5
this is the second question I don't undrstand
Answer:
[tex]d=\sqrt{58}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in your coordinates into the distance formula to find the length of AB:
[tex]d=\sqrt{(9-2)^2+(4-1)^2}[/tex]
[tex]d=\sqrt{(7)^2+(3)^2}[/tex]
[tex]d=\sqrt{49+9}[/tex]
[tex]d=\sqrt{58}[/tex]
Lin makes a line plot to show the data in the table. He places one dot above the 2 on the scale .How many dots should he place above the 3
Answer: 4
Step-by-step explanation: cause the chart has 4 number 3
Use the protractor tool to measure the angle.
What is the measure of the angle? Enter the answer in the box.
degrees
Answer: i belive its 140 i really coudn't tell.
Step-by-step explanation:
I used the protactor and I aligned it agaist the problem. Hope this helps. :)
By that i meant i got my protactor and I aligned it on the tiny dot you can see, the arrow pointed onto the number. I really don't think there is much to explain. If their is any confusion i will re-write it.
Answer:
the answer for this question is 110
Help me please!!!!!!!!!
Answer:
[tex] { \:( {6}^{10})}^{ - 7} [/tex]
Step-by-step explanation:
For all choices the exponent are addeed not multiplied.
hope it helps ❤❤❤
For any question comment me
6
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1,5). What are the coordinates after the
two transformations:
Reflection over the y-axis and rotation at 180 degrees around the origin. *
(2 points)
Enter your answer
Please and thank you
Answer:
R(-2,-1)
S(-1,-5)
T(2,-3)
Step-by-step explanation:
First, you flip all coordinates to their exact points, just of the other side of the y-axis.
Then, you just gotta graph it and rotate it 180* around the origin.
6(y + 3) = 30
(ignore this i8)
Answer:
y = 2
Step-by-step explanation:
Step 1:
6y + 18 = 30
Step 2:
6y = 12
Answer:
y = 2
Hope This Helps :)
A car dealership pays $8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car at this dealership? Round your answer to the nearest hundredths (second) decimal place.
Answer:
1452.9
Step-by-step explanation:
Were should I go to study for my 10 grade geometry Fundamentals test which is tomorrow :[
Answer: in a quiet room or the library,
also you better summarize your geometry lessons and remember the formulas :P
A number is five less than one fourth of itself
Answer:
x = 1/4x - 5
Step-by-step explanation:
Step 1: Translate from word to math
A number = x
five less = -5
one-fourth = 1/4
of itself = x
Step 2: Combine
x = 1/4x - 5
Can someone please help me with this problem? In the picture down below. WILL MARK BRAINLIEST!!!
Answer:
only a
Step-by-step explanation:
Answer: The answer would be B
Step-by-step explanation:
11. Through (-3,-5), perpendicular to -2x - 5y = -19
A. y=2/5x+2/5 B. y=3/5x-19/5 C. y=-5/2x+5/2 D. y=5/2x+5/2
12. Through (-8,1), parallel to -8x + 5y = 89
A. y=-8/5x-69/5 B. y=8/5x+69/5 C. y=8/5x-89/5 B. 5/8x-1/8
14. Through (-8,1), perpendicular to -5x + 9y = 49
A. y=-9/5x-67/5 B. y=-9/5x C. y=-5/9x-67 D.y=9/5x+67/5
Answer:
11) D. y=5/2x+5/2 , 12) B. y=8/5x+69/5, 14) A. y=-9/5x-67/5
Step-by-step explanation:
11) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:
[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]
Where:
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.
[tex]m_{\perp}[/tex] - Slope, dimensionless.
Besides, a slope that is perpendicular to original line can be calculated by this expression:
[tex]m_{\perp} = -\frac{1}{m}[/tex]
Where [tex]m[/tex] is the slope of the original line, dimensionless.
The original slope is determined from the explicitive form of the given line:
[tex]-2\cdot x - 5\cdot y = -19[/tex]
[tex]2\cdot x +5\cdot y = 19[/tex]
[tex]5\cdot y = 19 - 2\cdot x[/tex]
[tex]y = \frac{19}{5} -\frac{2}{5}\cdot x[/tex]
The original slope is [tex]-\frac{2}{5}[/tex], and the slope of the perpendicular line is:
[tex]m_{\perp} = -\frac{1}{\left(-\frac{2}{5}\right) }[/tex]
[tex]m_{\perp} = \frac{5}{2}[/tex]
If [tex]x_{o} = -3[/tex], [tex]y_{o} = -5[/tex] and [tex]m_{\perp} = \frac{5}{2}[/tex], then:
[tex]y-(-5) = \frac{5}{2}\cdot [x-(-3)][/tex]
[tex]y + 5 = \frac{5}{2}\cdot x +\frac{15}{2}[/tex]
[tex]y = \frac{5}{2}\cdot x +\frac{5}{2}[/tex]
The right answer is D.
12) The function of the parallel line can be found in terms of its slope and a given point by this formula:
[tex]y-y_{o} = m_{\parallel}\cdot (x-x_{o})[/tex]
Where:
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.
[tex]m_{\parallel}[/tex] - Slope, dimensionless.
Its slope is the slope of the given, which must be transformed into its explicitive form:
[tex]-8\cdot x + 5\cdot y = 89[/tex]
[tex]5\cdot y = 89 +8\cdot x[/tex]
[tex]y = \frac{89}{5}+\frac{8}{5} \cdot x[/tex]
The slope of the parallel line is [tex]\frac{8}{5}[/tex].
If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\parallel} = \frac{8}{5}[/tex], then:
[tex]y-1 = \frac{8}{5}\cdot [x-(-8)][/tex]
[tex]y-1 = \frac{8}{5}\cdot x +\frac{64}{5}[/tex]
[tex]y = \frac{8}{5}\cdot x +\frac{69}{5}[/tex]
The correct answer is B.
14) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:
[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]
Where:
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.
[tex]m_{\perp}[/tex] - Slope, dimensionless.
Besides, a slope that is perpendicular to original line can be calculated by this expression:
[tex]m_{\perp} = -\frac{1}{m}[/tex]
Where [tex]m[/tex] is the slope of the original line, dimensionless.
The original slope is determined from the explicitive form of the given line:
[tex]-5\cdot x +9\cdot y = 49[/tex]
[tex]9\cdot y = 49+5\cdot x[/tex]
[tex]y = \frac{49}{9} +\frac{5}{9}\cdot x[/tex]
The original slope is [tex]\frac{5}{9}[/tex], and the slope of the perpendicular line is:
[tex]m_{\perp} = -\frac{1}{m}[/tex]
[tex]m_{\perp} = -\frac{1}{\frac{5}{9} }[/tex]
[tex]m_{\perp} = -\frac{9}{5}[/tex]
If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\perp} = -\frac{9}{5}[/tex], then:
[tex]y-1 = -\frac{9}{5}\cdot [x-(-8)][/tex]
[tex]y-1 = -\frac{9}{5}\cdot x-\frac{72}{5}[/tex]
[tex]y = -\frac{9}{5}\cdot x -\frac{67}{5}[/tex]
The correct answer is A.
what is the solution of the system of linear equations? y = 3x - 2 y - 2 = x
Answer:
x = 2 y = 4
Step-by-step explanation:
y = 3x - 2
x = y - 2
Plug in the equation of x into the first equation and solve for y.
y = 3x - 2
y = 3(y - 2) - 2 Multiply out
y = 3y - 6 - 2
y = 3y - 8 Add 8 to each side
y + 8 = 3y - 8 + 8 8 cancels on the right
y + 8 = 3y Subtract y from each side
y - y + 8 = 3y - y The y on the left cancels
8 = 2y Divide each side by 2
8/2 = 2y/2 2 on the right cancels because 2/2 = 1
8/2 = y
4 = y
Now plug your answer into the 2nd equation given to solve for x.
x = y - 2
x = 4 - 2
x = 2
A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars, lower-deck seats sell for 8 dollars, and upper-deck seats sell for 5 dollars.If all the seats are sold, the total revenue for a game is 70000 dollars.The stadium has 4 times as many upper* deckseats as box seats.How many lower-deck seats are in the stadium?
Answer:
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000
Step-by-step explanation:
Let number of box seats = [tex]x[/tex]
Let number of lower deck seats = [tex]y[/tex]
Let number of upper deck seats = [tex]z[/tex]
As per question statement:
[tex]x+y+z=10000[/tex] ...... (1)
Cost for box seat = $10
Cost for [tex]x[/tex] box seats = 10[tex]x[/tex]
Cost for lower deck seat = $8
Cost for [tex]y[/tex] lower deck seats = 8[tex]y[/tex]
Cost for lower deck seat = $5
Cost for [tex]z[/tex] lower deck seats = 5[tex]z[/tex]
As per question statement:
[tex]10x+8y+5z=70000[/tex] ..... (2)
[tex]z = 4x[/tex] ..... (3)
Putting value of [tex]y[/tex] in (1) and (2):
[tex]x+y+4x=10000\\\Rightarrow 5x+y=10000[/tex] ....... (4)
[tex]10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)[/tex]
8 [tex]\times[/tex] (4) - (5):
[tex]10x =[/tex]10000
[tex]\Rightarrow x = 1000[/tex]
By (3):
[tex]z = 4000[/tex]
Now, by equation (1):
[tex]y[/tex] = 5000
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000
what is 36-(-30)-60+6
Answer
The answer is 0
whats bigger 0.32 or 1/4??
Answer:
0.32 is bigger
Step-by-step explanation:
change 1/4 to decimal
can I get brainliest
Answer:
0.32
Step-by-step explanation:
Its bigger because if you turn 1/4 into a fraction it's 0.25
Floyd has just opened his new sandwich shop. He makes $3.00 on every sandwich sold and his monthly expenses
are $5,000. Which equation can be used to model the number of sandwiches, s, he needs to sell in a month in order to
make a profit, P?
O P = 5,000 - 35
O P = 5000 + 35
O P = 3s - 5000 6
Os= 5000-P
0
Answer:
I think the answer is P=3s-5000
Step-by-step explanation:
you wouldn't subtract anything from the 5000, you would subtract the 5000 from how much you made from the sandwiches.
hope that helps
Find x
A) 4
B) 4 root 2
C) 4 root 3
D) 8 root 3
This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.
You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.
Meaning that [tex]2x=8[/tex]
So [tex]x=4[/tex]
Hope this helps.
頑張って!
can you please tell me the ans of my questions. the right ans with the process
Answer: i) 216 liters ii) 60 cm
Step-by-step explanation:
i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters
ii) [tex]\sqrt[3]{216,000\ cm^3} =60\ cm[/tex]
Find all possible values of the expression 1/y if: .125
Answer:
The possible values for 1/y of the expression 0.125 < y < 0.25 are in the range
4 < 1/y < 8
Step-by-step explanation:
The given information are;
The range of values of y are 0.125 < y < 0.25, therefore, we have;
The boundaries of the function, y are 0.125 and 0.25
The inverse of the boundaries of the function, y are 1/0.125 = 8 and 1/0.24 = 4
Therefore;
The limits of the inverse of the function y are ;
The inequality that represents 1/y is therefore;
1/0.25 < 1/y < 1/0.125 or 4 < 1/y < 8
The possible values of 1/y for the expression 0.125 < y < 0.25 are therefore;
4 < 1/y < 8.
The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d?
Answer:
9km
Step-by-step explanation:
If the distance on the map of 8cm between her house and school is equal to 12km actual distance. This means that each cm on the map represent 1.5km in actual distance (12/8=1.5).
This means that D is equal to 9km actual distance, because if each cm represents 1.5km, then 6 cm represents 9km (6x1.5=9).
Hope this helped!
Answer:
B
Step-by-step explanation:
9 km