The mean of 5 numbers is 30. The median is 33. What might the numbers be?
Let a,b,c,d and e are five numbers
mean = (a +b+ c+ d+e)/5 = 30
⇒ (a +b+ c+ d+e) = 150_______(1)
now, Let the number excluded be a
then, new mean = (b+ c+ d+e)/4 = 28
⇒ (b+ c+ d+e)= 112
putting this value in (1),
⇒a + 112 = 150
⇒a = 150 -112 = 38
excluded number = 38
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3
-2
0
.
Answer:
Doing the test rn got 3 1/3 i dont know if u should trust me but just try
Step-by-step explanation:
"HOT PIZZA" is offering a 20% discount on all its pizzas.
Sam orders a pizza for the reduced price of £5.60
What was the original price of the pizza?
Answer:
£7
Step-by-step explanation:
x - .2x = £5.60
.8(x) = £5.6
x= £5.6/.8
Identify the maximum value of the function y = -472 - 24x + -36.
Answer:
I assume that this is a quadratic equation, something like:
y = -47*x^2 - 24x + (-36)
we can rewrite it as:
y = -47x^2 - 24x - 36
Ok, this is a quadratic equation and we want to find the maximum value.
First, you can notice that the leading coefficient is negative.
This means that the arms of the graph will open downwards.
Then we can conclude that the vertex of the equation is the "higher" point, thus the maximum value will be at the vertex.
Remember that for a general function
y = a*x^2 + b*x + c
the vertex is at:
x = -b/2a
So, in our case:
y = -47x^2 - 24x - 36
The vertex will be at:
x = -(-24)/(2*-47) = -12/47
So we just need to evaluate the function in this to find the maximum value.
Remember that "evaluating" the function in x = -12/47 means that we need to change al the "x" by the number (-12/47)
y = -47*(-12/47)^2 - 24*(-12/47) - 36
y = -32.94
That is the maximum value of the function, -32.94
Find the total travel time: Depart 2:30 pm PST Arrive 7:20 pm CST.
A. 3 hr 40 min
B. 3 hr 50 min
C. 1 hr 50 min
D. 2 hr 50 min
Given:
Depart 2:30 pm PST
Arrive 7:20 pm CST
To find:
The total travel time
Solution:
We know that time in CST is 2 hours more than the time in PST
Depart time = 2:30 pm PST
Convert this time in CST.
Depart time = (2:30+2:00) pm CST
= 4:30 pm CST
We have,
Arrive time = 7:20 pm CST
The total travel time is the difference between 7:20 pm CST and 4:30 pm CST.
7:20 pm - 4:30 pm = 2 hr 50 min
The total travel time is 2 hr 50 min.
Therefore, the correct option is D.
An apartment has 90 square meters of carpeting. How much is this in square feet? Use the following conversion: 1 square meter is 10.8 square feet.
An explanation on how to do it would also be amazing!
Answer:
Area = 972 square feet
Step-by-step explanation:
Let 90 square meter be = x square feet
Given :
square meter square feet
1 10.8
90 x
[tex]\frac{1}{90} = \frac{10.8}{x}\\\\1 \times x =10.8 \times 90 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ cross \ multiply \ ]\\\\x = 972[/tex]
Therefore , 90 square meter = 972 square feet
15 POINTS!!! Please please help out!!! If you can!! I have other things on my account worth a lot of points so if you can help out that would be so helpful
Answer:
The maximum is -3
and the third one -3<f(x)≤ -3
Step-by-step explanation:
Let's start by expanding the exponent
-(x+7)²= -(x²+14x+49)= -x²-14x-49
simplify
-x²-14x-49-3= -x²-14x-52
To find the maximum/minimum take the first derivative
-x²-14x-52= -2x-14
set this equal to 0
-2x-14= 0
x= -7
We then plug in x= -7 into the equation to find the y value
Because the coeficcent for the degree is negative (it's -1) this is a maximum
-(-7+7)²-3 = -3
Because -3 is the highest point the graph's range is -∞<f(x)< -3
Therefore the maximum i
Tell whether the equation Y=Y true or false
Answer:
its true trust biggie on this one fam
Step-by-step explanation:
its true broski
PLZ ans have mocks plz
Answer:
The table will be:
x |-2 | -1 | 0 | 1 | 2
y | 1 | 4 | 5 | 4 | 2
Step-by-step explanation:
The function is:
[tex]y=5-x^{2}[/tex]
a) The x values of the table is:
x |-2 | -1 | 0 | 1 | 2
So, when x = -2, y will be:
[tex]y(-2)=5-(-2)^{2}=5-4=1[/tex]
Doing the same with the other x values we have:
[tex]y(-1)=5-(-1)^{2}=5-1=4[/tex]
[tex]y(0)=5-(0)^{2}=5[/tex]
[tex]y(1)=5-(1)^{2}=5-1=4[/tex]
[tex]y(2)=5-(2)^{2}=5-4=1[/tex]
The table will be:
x |-2 | -1 | 0 | 1 | 2
y | 1 | 4 | 5 | 4 | 1
I hope it helps you!
Answer this question pls? Its 20 pts
Answer:
B a = 180 -77-60
Step-by-step explanation:
The angles add to 180 degrees since they form a straight line
77+ 60+a = 180
a = 180 -77-60
The answer is B.
Step-by-step explanation:
We know that the sum of angles in a straight line = 180°
Therefore:
77° + 60° + a = 180°
a = 180° - 77° - 60°
Hence, option B is the answer.
The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
s = StartFraction 3 Over 10 EndFraction m
s = StartFraction 10 Over 3 EndFraction m
m = StartFraction 3 Over 10 EndFraction s
m = StartFraction 1 Over 30 EndFraction s
Answer:
it is b
Step-by-step explanation:
Answer:
it is b
Step-by-step explanation:
please help me with this real quick.
What is the first step when factoring the trinomial .,
Answer:
Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:
Answer:
A❤️✌️❤️✌️❤️Aaaaaa
Find the area of the circle.
452.16 ft2
37.68 ft2
1808.64 ft2
113.04 ft2
Answer:
113.04^2
Step-by-step explanation:
radius = diameter / 2
=12/2
=6 ft
area of circle = πr^2
=3.14 * 6^2
=3.14 *36
=113.04 ft^2
Answer:
[tex]{ \boxed{ \tt{ formular : { \tt{area}} = \pi {r}^{2}}}} \\ { \green{radius = \frac{diameter}{2} = \frac{12}{2}}} \\ area = \frac{22}{7} \times { (\frac{12}{2} )}^{2} \\ { \boxed{area = 113.04 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
what is the answer to 2x + 9(x – 1) = 8(2x + 2) – 5
Answer:
-4 =x
Step-by-step explanation:
2x + 9(x – 1) = 8(2x + 2) – 5
Distribute
2x +9x -9 = 16x+16 -5
Combine like terms
11x-9 = 16x +11
Subtract 11x from each side
11x-9-11x = 16x-11x+11
-9 = 5x+11
Subtract 11 from each side
-9-11 = 5x+11-11
-20 = 5x
Divide by 5
-20/5 = 5x/5
-4 =x
PLEASE HELP LAST QUESTION MATH
9514 1404 393
Answer:
A = 48°B = 115°C = 115°D = 67°E = 48°Step-by-step explanation:
A and the angle marked 48° are vertical angles, hence congruent.
A = 48°
B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.
B = 115°
C is an alternate interior angle with angle B, so is congruent.
C = 115°
D is a vertical angle with the one marked 67°, so is congruent.
D = 67°
E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.
E = 48°
Question 16
Use the rule for order of operations to simplify the expression as much as possible:
Question Help: Video
Submit Question
ps://www.myopenmath.com/asset
1721&ald-80137968
Answer:
16
Step-by-step explanation:
[tex]5 + 9 \div 3 + 4 \times 2 \\ = 5 + 3 + 8 \\ = 16[/tex]
Multiplication and division are priority to addition and subtraction
Brainliest please
The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle.
Can one of you help me pls it's urgent
Answer:
Hello,
I am pretty sure that is is the last answer. 3√3.
Step-by-step explanation:
I hope this helps!
Answer:
The last answer
Step-by-step explanation:
This is asking you to do 9 divided by 3. After you divide 3 by 9 divided by 3 to get the answer
9 divided by 3 equals 3
3 divided by 3 equals 1
find the value of the angle rounded to 1 DP
Answer:
57.2°
Step-by-step explanation:
sin 26° = x/19
x = 8.329051789
[tex]sin^{-1}[/tex] (7 / 8.329051789)
help asap ------------------------------
Answer:
(0,-41)
Step-by-step explanation:
Let see if this table of values are proportional.
All x values decrease by -9.All y values decrease by -19.This mean that the function is proportional. This also gives us the slope which is 19/9.
This tell us that this function will be a linear function since we are trying to find the y intercept we would use this equation
We know the slope and we know a point so let use point slope form to find the intercept.
[tex]y - y _1= m(x - x _1)[/tex]
Let use points (-18,-79) and let m =19/9.
[tex]y + 79 = \frac{19}{9} (x + 18)[/tex]
[tex]y + 79 = \frac{19}{9} x + 38[/tex]
[tex]y = \frac{19}{9} x - 41[/tex]
This is in slope intercept form so the y intercept is
[tex] - 41[/tex]
The answer is -41.
A grocery store sells a bag of 4 oranges for $2.84. If arianna spent &3.55 on oranges, how many did she buy?
Answer:
5 dollors i just tookthe test 4
Step-by-step explanation:
Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.
To find out how many oranges Arianna bought, we can use the given price of a bag of 4 oranges and the total amount she spent on oranges.
Let's set up a proportion:
Price of a bag of 4 oranges = $2.84
Amount Arianna spent on oranges = $3.55
Let "x" be the number of bags of oranges Arianna bought.
Since each bag contains 4 oranges, the total number of oranges she bought is 4 times the number of bags (4x).
Now, we can set up the proportion:
(Price of a bag of 4 oranges) / (Amount spent on oranges) = (Number of bags bought) / 4x
$2.84 / $3.55 = 1 / 4x
To solve for "x," cross-multiply:
$2.84 * 4x = $3.55 * 1
11.36x = 3.55
Now, solve for "x":
x = 3.55 / 11.36
x ≈ 0.3125
Since we can't buy a fraction of a bag, we round the value of "x" to the nearest whole number:
x ≈ 0 (rounded to the nearest whole number)
So, Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.
To know more about oranges:
https://brainly.com/question/28969541
#SPJ3
find the lateral area of the prism
Answer:
We know that the lateral area of any prism is the sum of the areas of its side faces. Thus, the lateral area of a triangular prism is the sum of the side faces, that is the three rectangular faces. The formula to find the lateral area of a triangular prism is, (a + b + c) h or Ph.
so
20×6= 120 sq in
Answer:
120 sq in.
Step-by-step explanation:
LA = ah
LA = 20 × 6
A = 120
WILL MARK BRANLIEST
When describing a rotation, what
information must you include?
Answer:
The point you are rotating at (also called the centre of rotation)
The angle of rotation (usually in degrees but I don't know your school)
Direction of the turn
Step-by-step explanation:
Given the following statement. "If two angles form a linear pair, then they are supplementary",
which of the following is the converse of the statement?
ASAP ❤️
Answer:
The converse of the statement is: If two angles are supplementary, then they form a linear pair.
Step-by-step explanation:
The statement is a representation of the following compound proposition: [tex]p \rightarrow q[/tex], where:
[tex]p =[/tex] Two angles form a linear pair
[tex]q =[/tex] They are supplementary
The converse of this implication is represented by the following inferential formula:
[tex]q \rightarrow p[/tex]
Therefore, the converse of the statement is:
If two angles are supplementary, then they form a linear pair.
Which of these is the algebraic expression for "4 times the sum of 2 and y?"
4 ⋅ 2 + y
4(2 + y)
2 + 4 ⋅ y
2(4 + y)
Answer:
[tex]4(2 + y)[/tex]
Step-by-step explanation:
"4 times the sum of 2 and y".
Hope it is helpful...Answer:
The answer is 4(2+y)
Explanation: No 1 is 4 times two and add 1
No 3 is 2 plus 4 and multiply y
No 4 is 2 times 4 and adds 2 y
A manager hires labour and rents capital equipment in a very competitive market. Currently the wage rate is GH¢2 per hour and capital is rented at GH¢5 per hour, the unit price of the product is GH¢0.25 and total cost is 1000. Suppose the firm's production function is as follows: � = 14�*.,�*., + 10 i. What is the amount of labour and capital the firm should employ in order to maximize output? [Hint: Maximise the product function subject to the cost constraint] ii. What is the maximum profit?
Solution :
It is given that the manager hires a labor and he rents the capital equipment [tex]\text{in a very competitive market}[/tex].
Presently the rate of the wage is at $ 10 per hour and the capital is been rented at $ 0.25. If the [tex]\text{marginal product}[/tex] of the labor is 50 units of the output per hour and the marginal.
Therefore, the answer is
14 + 10 = 24
She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did she have?
Answer:
x = number of quarters = 25
y = number of dimes = 15
Step-by-step explanation:
Let
x = number of quarters
y = number of dimes
1 dime = $0.10
1 quarter = $0.25
x + y = 40 (1)
0.25x + 0.10y = 7.75 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.25x + 0.10y = 7.75 (2)
0.25(40 - y) + 0.10y = 7.75
10 - 0.25y + 0.10y = 7.75
- 0.25y + 0.10y = 7.75 - 10
-0.15y = -2.25
y = -2.25/-0.15
y = 15
Substitute y = 15 into (1)
x + y = 40 (1)
x + 15 = 40
x = 40 - 15
x = 25
x = number of quarters = 25
y = number of dimes = 15
Total quarters = 25 × $0.25
= $6.25
Total dimes = 15 × $0.10
= $1.5
Bianca read 5 books last month. The number of pages in each book that bianca read is listed in the box below12,106,94,100,180 what is the mean absolute deviataion of the number of pages in the 5 books bianca read?
Answer:
36.32
Step-by-step explanation:
Given the data:
X = 12,106,94,100,180
The mean absolute deviation is calculated thus :
MAD = |x - mean| / n
Where n = sample size
Mean = Σx / n = (12 + 106 + 94 + 100+ 180) / 5 = 98.4
MAD = (|12 - 98.4| + |106 - 98.4| + |94 - 98.4| + |100 - 98.4| + |180 - 98.4|) / 5
MAD = 36.32
Recall that the permeter of a rectangle is p=2(w+l) where w is the width and l is the length. The length of a rectangle is 17 feet more than the width. Of the perimeter is 94 feet then what is the lenth of the rectangle in the feet
Answer:
Width = 15 feet
Length = 32 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Width = x feet
Length = (x + 17) feet
Perimeter = 94 feet
Perimeter of a rectangle = 2(length + width)
94 = 2{(x + 17) + x}
94 = 2(x + 17 + x)
94 =2(2x + 17)
94 = 4x + 34
94 - 34 = 4x
60 = 4x
x = 60/4
x = 15
Width = x feet = 15 feet
Length = (x + 17) feet
= 15 + 17
= 32 feet
