Answer:
x = 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2x + 4y = 24
y = -3
Step 2: Solve for x
Substitute in y: 2x + 4(-3) = 24Multiply: 2x - 12 = 24Isolate x term: 2x = 36Isolate x: x = 18Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers have an equal mean. If the two sets of numbers are combined, find the variance.
Given:
[tex]\sigma_A=3[/tex]
[tex]n_A=6[/tex]
[tex]\sigma_B=5[/tex]
[tex]n_B=4[/tex]
[tex]\overline{x}_A=\overline{x}_B[/tex]
To find:
The variance. of combined set.
Solution:
Formula for variance is
[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}[/tex] ...(i)
Using (i), we get
[tex]\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}[/tex]
[tex](3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]
[tex]9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]
[tex]54=\sum (x_i-\overline{x}_A)^2[/tex]
Similarly,
[tex]\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}[/tex]
[tex](5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]
[tex]25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]
[tex]100=\sum (x_i-\overline{x}_B)^2[/tex]
Now, after combining both sets, we get
[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}[/tex]
[tex]\sigma^2=\dfrac{54+100}{6+4}[/tex]
[tex]\sigma^2=\dfrac{154}{10}[/tex]
[tex]\sigma^2=15.4[/tex]
Therefore, the variance of combined set is 15.4.
can someone please help me on this question :) you may need to zoom in
Answer:
16 1/2 minutes
Step-by-step explanation:
2.8m = 46.2
m = 16.5
Answer:
maybe 16.5
Step-by-step explanation:
divide 46.2 with 2.8 and get 16.5
If 6 days ago was Wednesday, what day will it be 701 days from now?
A Wednesday
B Thursday
C Friday
D Saturday
E Sunday
show work!!
Answer:
Friday
Step-by-step explanation:
If 6 days ago was Wednesday, that means 6 days ago was Thursday. Every seven days, it will be Thursday again, so we can do 701/7 and see how many weeks fit equally. It is 100 weeks and 1 day. That means that Thursday would be in 100 weeks, or 700 days. Since there is one day left, it would be Friday. Friday is your answer.
The day after 701 days from today if, 6 days ago was Wednesday is Friday, so option C is correct.
What is division?One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Given:
If 6 days ago was Wednesday,
If 6 days ago was Wednesday, then it will be Thursday today,
Calculate the day after 701 days as shown below,
The day = 701 / total days
As you can see, the Thursday will be repeated after 7 days,
Here, 1 will be the reminder, then one day after Thursday will be Friday.
Thus, after 701 days, it will be Friday.
To know more about division:
https://brainly.com/question/27566440
#SPJ2
which percent is equivalent to 12/25
Answer:
48 percent
Step-by-step explanation:
12 divided by 25 gets you .48 which can be expressed as 48%
Answer:
48%
Step-by-step explanation:
1. Change 12/25 to a fraction with a denominator of 100
25 x 4=100
12 x 4=48
2. Find the percent
48/100= 48%
question in pic help
Answer:
x+1/10
Step-by-step explanation:
Y= 5/2X -1/4
X= 1/10
I need help
-if you could do the explanation it would be appreciated
Step-by-step explanation:
³√512 = ³√(8³) = 8.
³√(-1728) = ³√(-12³) = -12.
√144 - ³√(-8)
= 12 - ³√(-2³)
= 12 - (-2)
= 14.
There are 20 students enrolled in a history class. Eight of the students are female. Of the females in this class, 3 of them are wearing blue shirts. What is the probability that a randomly chosen student will be a female not wearing a blue shirt?
A. 2/5
B. 1/4
C. 3/20
D. 1/32
Answer:
THE ANSWER IS 1/4
Step-by-step explanation:
e total cost of Anja's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup an
aning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and
ue of x, the cost of each cavity filling?
4x+89.95=628.35; X = $134.60
4(89.95) + X = 628.35
X = $268.55
4x+89.95=628.35; X= $179.58
A(89.95)+ x = 628.35
X = $538.40
9514 1404 393
Answer:
(a) 4x+89.95=628.35; x = $134.60
Step-by-step explanation:
The total cost (628.35) is the cost per cavity (x) times the number of cavities (4), added to the flat fee (89.95). The equation for that is ...
4x +89.95 = 628.35
The solution to that is ...
x = (628.35 -89.95)/4 . . . . . subtract the constant, divide by 4
x = 134.60
p^2-4p+4=0
is this a quadratic equation
Answer:
2-4+4=0
Step-by-step explanation:
please help asappppp
Answer:
9........I will post process in comments because you are needing this right now
1. After Brielle ran 5 miles onFriday, she had run total of 20 miles for me week. She ran x miles before Friday.
Answer:
x = 15
Step-by-step explanation:
If she ran 5 miles on Friday, and 20 in the whole week, you can make the equation:
5 + x = 20
x = 15
PLZ HELP : If the vertex angle of an isosceles triangle has a measure of 50°, what are the measures of the two base angles? Explain your solution.
Answer:
If you subtract your vertex angle (50°) from 180°. You get 130°. This is now the degrees for both of your base angles.
2. A ladder leans against a building forming an angle of 56 degrees with
the ground. The base of the ladder is 3 feet from the building. Find to the
nearest hundredth, the length of the ladder? *
A builder is using the drawing below to build a house. If the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?
Answer:
The correct answer is A
Step-by-step explanation:
20% x 12 = 2.4
2.4 + 12 = 14.4
20% x 8 = 1.6
1.6 + 8 = 9.6
✧brainliest appreciated✧
I'm failing math. I need help
Amanda purchased seven tomato plants at a total cost of $26. The cost of the small tomato plants was $2 each. The cost of the large tomato plants was $5 each. The graph below represents this situation.
what is the slope line of x+y=7
A:7
B:-2/5
C:26/5
D:-1
Elsie bought a video game for $75.00. If the store charges 160% of what it paid for the game, how much is the store's profit?
Answer:
Step-by-step explanation:
what a store LOL
75*160/100=120
elsie paid for the game 75+120=195 dollars
store's profit=120
I just need the answer to check and see if i got mine right.
Use the distributive property and combining like terms to simplify the expression:
6 (2+x+8)
The answer i got is: 60+6x
Am i right?
what is 39×45-19÷12=
Answer:
I thank it is 1753.4
Step-by-step explanation:
i hope its right
Pls pls pls help me
Step-by-step explanation:
I hope its clear.
try finding help from others...
mine could be wrong
A grocery store offers a 15% discount on your entire purchase when you spend more than $60. You have $85 to spend on groceries and the cost of the groceries in your cart is currently $60. The inequality 0.85(a+60)≤85 represents the cost a (in dollars) of groceries that you can add to your cart. Graph the solution of the inequality.
0.85(a + 60) ≤ 85
0.85a + 51 ≤ 85
-51 on both sides
0.85a ≤ 34
/0.85 on both sides
a ≤ 40
Answer:
a ≤ 40
22(10p - 79) if p = 9 and q = 2
Answer:
the anwser is 242
Step-by-step explanation:
I dont see a q anywhere but you would sub p and 9 and do the equation so times 10 and 9 and then distribute 22 or in your calculator jus enter 22(90-79) and you would get 242
Explain your reasoning for why -3/4 is less than 5/8
Answer:
Step-by-step explanation:
-3/4 and 5/8
bc it's a negative number and not a positive number. When numbers are negative, the number keeps getting smaller and smaller. And when you add a positive number to a negative number, then the number will start increasing it's value.
Hope it helped a little
Solve the equation. \dfrac32 + b = \dfrac74 2 3 +b= 4 7 start fraction, 3, divided by, 2, end fraction, plus, b, equals, start fraction, 7, divided by, 4, end fraction b=b=b, equals
Given:
The equation is
[tex]\dfrac{3}{2}+b=\dfrac{7}{4}[/tex]
To find:
The value of b.
Solution:
We have,
[tex]\dfrac{3}{2}+b=\dfrac{7}{4}[/tex]
Subtracting both sides by [tex]\dfrac{3}{2}[/tex], we get
[tex]b=\dfrac{7}{4}-\dfrac{3}{2}[/tex]
[tex]b=\dfrac{7-2(3)}{4}[/tex]
[tex]b=\dfrac{7-6}{4}[/tex]
[tex]b=\dfrac{1}{4}[/tex]
Therefore, the value of b is [tex]\dfrac{1}{4}[/tex].
Answer:
1/4
Step-by-step explanation:
pls helpp i need to pass
Answer:
38.9
Step-by-step explanation:
its right there???
Help pls I don’t remember how to do this so how do u find x, y, and z in this
Answer: 3) x = 87°; y = 93°; z = 63°
Step-by-step explanation:
x + 33 + 60 = 180 since they form a triangle.
x + 93 = 180
Subtract 93 from both sides
x = 87°
x and y are linear pairs so they're supplementary.
y + x = 180
y + 87 = 180
Subtract 87 from both sides
y = 93°
z + y + 24 = 180 since they also form a triangle
z + 93 + 24 = 180
z + 117 = 180
Subtract 117 from both sides
z = 63°
Hope this helped!
Oh and nannara nanke demo ii yo, ikasete yaru kara. :p
Here is a list of numbers,
51 38
48
36 39
40 39 47
a) Work out the range of the numbers in the list.
b) Work out the median of the numbers in the list.
Answer:
Concept: Mathematical Modeling
Range: Highest # - Lowest # Median is the middle value in an organized list 51-36= 15 Median: 36,38,39,39,40,47,48,51[tex] \frac{39 + 40}{2} = 39.5[/tex]Give brainlistDoes anyone know this?
Answer:
42 cm²
Step-by-step explanation:
Length of the shaded rectangle = 7 cm
Width of the shaded rectangle= 7 - (0.5 + 0.5) = 7 - 1
Width of the shaded rectangle = 6 cm
Area of the shaded rectangle = L × W
Area = 7 × 6 = 42 cm²
Which pattern does not follow the rule subtract 8, multiply by 2, subtract 8, multiply by 2....?
Answer:
can you show the patterns?
Step-by-step explanation:
Which expression is equivalent to the expression 4(6+y)+7?
Answer:
4(6+y)+7=4y+31
Step-by-step explanation:
what type of transformation is y=(x-2)^3+5