Answer:
n = -4, -1/3.
Step-by-step explanation:
3n^2 + 13n+4= 0
3n^2 + 12n + n + 4 = 0
3n(n + 4) + 1(n + 4) = 0
(3n + 1)(n + 4) = 0
n = -4, -1/3.
Students obtained a mean score of 400 and standard deviation of 40 in a test with a bell-shaped distribution. What approximate percentage of the students above 520
The percentage of students who scored above 520 is 0.13%.
Given data:
To determine the approximate percentage of students who scored above 520, use the concept of standard deviations.
Given that the mean score is 400 and the standard deviation is 40, calculate the z-score for the value of 520 using the formula:
z = (x - mean) / standard deviation
where x is the value of interest.
So, x = 520, mean = 400, and standard deviation = 40. Plugging in these values:
z = (520 - 400) / 40
z = 120 / 40
z = 3
The z-score of 3 represents a value that is 3 standard deviations above the mean.
To find the approximate percentage of students above 520, we can refer to the standard normal distribution table (also known as the Z-table). Looking up the z-score of 3 in the table, the area to the left of this z-score is approximately 0.9987.
To find the percentage above 520, subtract this value from 1 to find the area to the right of the z-score:
1 - 0.9987 = 0.0013
Hence, approximately 0.13% of students scored above 520 in the test.
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Find the surface area and volume of a rectangular prism formed by the net below. The length is 10 inches,
the width is 4 inches and the height is 5 inches.
h
W
Step-by-step explanation:
Surface area of rectangular prism
= 2lw + 2lh + 2wh
= 2(10)(4) + 2(10)(5) + 2(4)(5)
= 80 + 100 + 40 = 220 square inches.
Volume of rectangular prism
= lwh
= (10)(4)(5)
= 200 cubic inches.
00:00
What quotient does the model Nestor made represent?
0 3.21 + 3 = 1.07
0 1.47 + 7 = 0.27
0.21 + 7 = 0.03
0.81 - 3 = 0.27
Answer:
0.81-3=0.27
Step-by-step explanation:
0.81-3=0.27 it
It is similar to 3.21÷3=1.07 this is division
the difference of a number squared and six
Answer:
x^2-6
Step-by-step explanation:
Tony bought 8 books about plants and 3
books about fish. He also bought 7
science magazines. Each book cost $6
and each magazine cost $5. How much
did Tony spend in all?
Answer:
Tony spent $101.
Step-by-step explanation:
11*6 = 66
7*5 = 35
66+35 = 101
(3a2 + 2ab + 2b) + (5a2 − 3ab + 9)
Step-by-step explanation:
[tex] \tt{(3 {a}^{2} + 2ab + 2b) + (5 {a}^{2} - 3ab + 9})[/tex]
~While adding , the sign of each term of second expression remains same. So, Remove the unnecessary parentheses :
⤑ [tex] \tt{3 {a}^{2} + 2ab + 2b + 5 {a}^{2} - 3ab + 9}[/tex]
~Like terms are those which have the same base. Combine the like terms :
⤑ [tex] \tt{3 {a}^{2} + 5 {a}^{2} + 2ab - 3ab + 2b + 9}[/tex]
⤑ [tex] \sf{8 {a}^{2} - ab + 2b + 9}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{ ⟿ Our \: final \: answer : 8 {a}^{2} - ab + 2b + 9}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
Simplified answer is: [tex]8a^2 - ab + 2b + 9[/tex]
Step-by-step explanation:
Key skills needed for understanding: Combining Like Terms
1) You are given the equation: [tex](3a^{2} + 2ab + 2b) + (5a^{2} - 3ab + 9)[/tex]
- Since you are adding here, you can remove the parentheses.
- If you remove them it would be --> [tex]3a^2 + 2ab + 2b + 5a^2 - 3ab + 9[/tex]
2) Now we have to combine like terms in order to simplify this equation.
Combining like terms is simply combining terms with the same base (such as the terms that have "ab" or the terms that have "[tex]a^2[/tex]" or the terms that have nothing - these terms are numbers such as 9 or 5).
You can combine 2ab and -3ab, but you cannot combine 9 and 2b. Hope you understood this concept.
3) If you combine like terms ( [tex]3a^2 + 5a^2[/tex], [tex]2ab - 3ab[/tex]) you will get a different expression: [tex]8a^2 - ab + 2b + 9[/tex].
[tex]8a^2 - ab + 2b + 9[/tex] is the answer.
Hope you understood and have a nice day!! :D
if
[tex]g(x) = - {4x}^{2} - 3x + 2[/tex]
determine g(-2).
Answer:
Its is right -8
Step-by-step explanation:
because put the value of x andalso know the multiply
-4 = r/20 -5
Solve for r. Show your steps
Answer:
r = 20
Explanation:
-4 = r/20 - 5
Simplify both sides of the equation-4 = r/20 - 5
-4 = 1/20r + -5
-4 = 1/20r - 5
Flip the equation1/20r - 5 = -4
Add 5 to both sides1/20r - 5 + 5 = -4 + 5
1/20r = 1
Multiply both sides of the equation by 20(20)1/20r = 1(20)
r = 20- Find the probability of rolling a divisor of 15.
Answer:
1/3
Step-by-step explanation:
if you're excluding 1 you can only role 3 and 5, which are divisors of 15. so that is 2 of 6 sides 2/6=1/3
find the value of x?!??????
Answer:
x = 31
Step-by-step explanation:
Given:
MN = 20
PQ = x
RS = 42
Required:
Value of x
SOLUTION:
In a trapezoid, the midsegment length equals the sum of both bases divided by 2
This implies that:
PQ = ½(MN + RS)
Plug in the values
x = ½(20 + 42)
x = ½(62)
x = 31
simplify the expression 5(a+3)
Answer:
5a + 15
Step-by-step explanation:
To simplify, simply distribute 5 to all terms within the parenthesis. Multiply in this case:
5(a + 3):
5 * a = 5a
5 * 3 = 15
5a + 15 is your answer.
~
Answer:
5a x 15
Step-by-step explanation:
distribute the five
simplyfy 0.064/0.84 and leave the answer in standard form
Answer:
0.07619047619.
Answer:7.619 x 10 -2
Step-by-step explanation
Standard form :)
Which expression is equivalent to the given expression?
6y−12
Answer:
it is 6(y-2)
Step-by-step explanation:
Use an inverse function to write o
function of
X+1
Answer:
it is e hope it helps :)
Step-by-step explanation:
How do you work out the size of angle x ?
Answer:
117°
Step-by-step explanation:
Angle of straight line is 180°
Angles in a triangle add up to 180°
starting at right
180 - 101 = 79° at right side angle in triangle
now solving left side angle
180 - 38 - 79 = 63°
now solving x using left side angle, must add to 180°
x + 63 = 180°
x = 117°
x is an exterior angle of the triangle and its measure is 117 degrees.
Given,
Triangle with interior and exterior angles.
Linear pair : ∠x + ∠y = 180 degrees.
Angle of straight line is 180°(Linear pair).
180 - 101 = 79°
Angle sum property: Sum of all the angles in a triangle add up to 180° .
So,
180 - 38 - 79 = 63°
Now solving x,
Angles must add to 180° in a straight line.
x + 63 = 180°
x = 117°
Therefore measure of angle x in the triangle is 117 degrees.
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X3 + 2x + 3 =18
What is x?
Answer:
x=3
Step-by-step explanation:
Assuming X3 means 3x, then you would have:
5x+3 = 18, 5x = 15, x=3
Solve the following equation algebraically
2x2 = 98
a. x =7
b. x +49
c. x=+7
d. x=49
Determine how (if possible) the triangles are similar?
angela bought a pair of shoes at 12% off and receive an additional membership discount of 70 pesos if the pair of shoes cost her 1866 pesos what was the original price of the shoes
Answer:
The original price of the shoes was of 2200 pesos
Step-by-step explanation:
She bought the shoes for 1866 pesos.
She receibed a discount of 70 pesos, so the cost, with the discount, is 1866 + 70 = 1936 pesos.
The pair was bought at 12% off, that is, 1936 pesos is 100 - 12 = 88% of the original price. Then
[tex]0.88x = 1936[/tex]
[tex]x = \frac{1936}{0.88}[/tex]
[tex]x = 2200[/tex]
The original price of the shoes was of 2200 pesos
1 cm = ________ g
need help asap plsss
Answer:
1 cubic meter is equal to 1000000 gramsTommy buys a new stereo that sells for $1052.75 plus taxes. At the time of the
purchase the taxes and a $40 deferral charge are paid. The selling price is paid in
12 monthly payments.
A) What is the total amount to be paid at the time of the purchase?
B) What is the amount of each monthly payment?
Answer: See explanation
Step-by-step explanation:
A. What is the total amount to be paid at the time of the purchase?
This will be the selling price of the stereo with the tax and the deferral. This will be:
= $1052.75 + $40
= $1092.75
B) What is the amount of each monthly payment?
Each monthly payment will be gotten by dividing the total payment to be made by 12. This will be:
= $1092.75 / 12
= $91.06
Find the quotient. Use a model to help you divide. 6.15 divided by 5
Answer:
The answer for this question is 1.23
Solve 2/3 divided by 4/5
a.6/15
b.6/8
c.8/15
d.5/6
Answer:
d.5/6
Step-by-step explanation:
2/3÷4/5
2/3×5/4
5/6
Answer:
2/3÷ 4/5 is 5/6
.
Step-by-step explanation:
Perimeter is always measured in square units.
True
False
false
Step-by-step explanation:
the perimeter is all the sides added up whereas the area is length × width
area is measured in square units not perimeter
The perimeter does not measures in square units because area should be measured.
What is the perimeter?A perimeter refers to the closed path that encompasses or outlines and represents the two-dimensional shape or a one-dimensional length. The perimeter of a circle is known its circumference.
Therefore, we can say that the The perimeter does not measures in square units because area should be measured.
hence, it is false.
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Find a vector 3 units long in the opposite direction from v = 〈3, 1,-4).
Unit vector along the direction v = <3,1,-4> is :
[tex]\hat{v} = \dfrac{3i + j -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}[/tex]
So, unit vector opposing the [tex]\hat{v}[/tex] is :
[tex]\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}[/tex]
so, vector of magnitude 3 units in opposite direction from v is :
[tex]\vec{V} = 3\hat{v'}\\\\\vec{V} = \dfrac{3}{5.1}( -3i -j+4k)[/tex]
Hence, this is the required solution.
A store is instructed by corporate headquarters to
put a markup of 25% on all items. An item costing $16 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Can someone help? It would be appreciated! ♡︎
Answer:
Find out the selling price.
To prove
As given
A store manager instructs his employees to mark up all the items by 25%. An item that the store bought for $16.
25% is written in the decimal form.
= 0.25
25% of the $16= 0.25 × 16
= $4
Selling price of the item = Original price of item + 25% of the $16
= $16 + $4
= $ 20
Therefore the selling price of the item is $20.
Step-by-step explanation:
I was gonna steal the points but you seem nice. Have a good day!
What is the slope of the line?
-3, 3
-4, -1
9514 1404 393
Answer:
4
Step-by-step explanation:
Assuming the given numbers are supposed to be (x, y) ordered pairs, the slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-1 -3)/(-4 -(-3)) = -4/-1 = 4
The slope of the line through the points (-3, 3) and (-4, -1) is 4.
What are the mean,median,mode and range of 59,63,63,72,72,72,72,72,76,81,83,84,84,93.
Answer:
mean 74.714285714286
median 72
mode 72
range 34
Step-by-step explanation:
Answer:
Mean: 74.71
Median: 72
Mode: 72
Range: 34
Step-by-step explanation:
First, let's define what each of these terms mean:
Mean: the average of the data
Median: the number in the middle after being put in ascending order
Mode: the number listed the most
Range: the highest number minus the smallest number
To find the mean, just add up all the numbers and divide by how many there are. First, add up all the numbers in the set. This should give you 1,046. Next, divide by how many terms there are. Since there are 14 terms in this set, we'll be dividing 1,046 by 14. This will give us a mean of 74.71 or 75 if you're rounding up.
To find the median, you'll first need to put the terms in ascending order, meaning from lowest to highest. Luckily, the set is already in ascending order, so that step is not necessary here. Next, you're going to find the number in the middle of the set. However, since there are an even number of terms, we have two numbers in the middle: 72 and 72. To find the median with two numbers in the middle, just add both terms up and divide by 2. However, since both terms are 72, this step is also not necessary. Our median is simply 72.
To find the mode, you're just looking for the number that appears the most. In this case, it would be 72 since it appears more than any other number in the set (5 times.)
Last, to find the range, just subtract the lowest number from the highest number in the set. With the highest number being 93 and the lowest being 59, just do 93 - 59 for a range of 34. Please let me know if you have any further questions!
Margie says the set of numbers, 0.1, -1, -21
4
, 3, are in order from least to greatest. What is her error?
She did not use the correct common denominator.
The 3 is in the wrong place.
She treated all the numbers as positive.
The –1 should be the first number on the list.
Answer:
-21, -1, 0.1, 3, 4
Step-by-step explanation: the higher the negative number is the lower the number is for example -30 is lowe then -1
Answer:
She treated all the numbers as positive.
Step-by-step explanation:
ik because i am from the future
This is an easy math question, I will give a lot of points.
Answer:
2.5 km/per hour
Step-by-step explanation:
do you want an explanation?
Hope it helps buddy.......