Answer:
m= -4.5
Step-by-step explanation:
Let's solve your equation step-by-step.
6m−3=5−(m+39.5)
Step 1: Simplify both sides of the equation.
6m−3=5−(m+39.5)
6m−3=5+−1(m+39.5)(Distribute the Negative Sign)
6m−3=5+−1m+(−1)(39.5)
6m−3=5+−m+−39.5
6m+−3=5+−m+−39.5
6m−3=(−m)+(5+−39.5)(Combine Like Terms)
6m−3=−m+−34.5
6m−3=−m−34.5
Step 2: Add m to both sides.
6m−3+m=−m−34.5+m
7m−3=−34.5
Step 3: Add 3 to both sides.
7m−3+3=−34.5+3
7m=−31.5
Step 4: Divide both sides by 7.
7m
7
=
−31.5
7
m=−4.5
Step-by-step explanation:
6m-m=5-3+39.5
5m=-37.5
m=7.5
The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour. Suppose that we want to compute probabilities about the average daily downtime for a period of 30 days.
i. What assumptions must be true to use the result of Theorem 7.4 to obtain a valid approximation for probabilities about the average daily downtime?
ii. Under the assumptions described in part (i), what is the approximate probability that the average daily downtime for a period of 30 days is between 1 and 5 hours?
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
Share 200 in the ratio 3:1:4
(will give brainliest)
Answer:
75:25:100
Step-by-step explanation:
step 1= 3+1+4=8
step 2= 200/8=25
step 3= 25 x 3=75
25 x 1= 25
25 x 4=100
Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False
Answer:
True
Step-by-step explanation:
False
True
False
True
True
Write an expression that has 5 terms and that is equivalent to 5x+y
The expression should be written when there is 5 terms and that is equivalent to 5x+y should be likely 5x + y - 2 + 3 - 1.
Calculation of an expression;Since we have to determine the 5 terms
And, it should be equivalent to 5x + y
So here the equation be like
= 5x + y - 2 + 3 - 1
hence, The expression should be written when there is 5 terms and that is equivalent to 5x+y should be likely 5x + y - 2 + 3 - 1.
Learn more about an expression here: https://brainly.com/question/24595897
Which organism does not produce an external egg as part of its life cycle? *
1 point
A dog
B turtle
C parrot
D insect
Answer:
dog
Step-by-step explanation:
Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me i’ll give brainliest!)
13+(x+8) plz i need help
Answer:
21+x
Step-by-step explanation:
Because this does not equal anything, we can't solve for x. Instead, we can just simplify the equation. Since there is a + sign to the left of the parentheses, it shows that we do not need to distribute.
13+(x+8)
21+x
Hope this helps!! Have a nice day ^^
Answer:
First off you would distribute the invisible positive 1 to the x and 8
Then you will get 13+x+8
Last add 13 and 8 to get 21
Your final answer is 21+x
Step-by-step explanation:
1.488 divided by 2.1 rounded to nearest tenth
A 16-oz bottle of parmesan cheese costs $5.78, while an 8-oz bottle costs $3.97. Which is the better buy? Round
your answer to the nearest cent if necessary.
Answer:
The 16-oz bottle is a better buy
Step-by-step explanation:
Find the better buy by finding which one has a lower price per ounce:
Calculate the price per ounce of both bottles by dividing the cost by the number of ounces
5.78/16
= 0.36
3.97/8
= 0.5
Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.
Answer:
The 16-oz bottle of parmesan cheese is the better buy.
Step-by-step explanation:
It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.
divide the following
3554by10
4678 by 40
Which property of multiplication is shown?
6 x 5 = 5 x 6
Answer:
Commutative Property of Multiplication
I hope this helps you :D
Commutative
The commutative property tells us that two addition and multiplication sentences are equal no matter the order.
For example:
3+4=4+3
6 x 5= 5 x 6
Hope this helps. Please give brainiest.
please answer i know the picture is a little blurry but please i will give you brainliest!!
Answer: the 1st one.
Step-by-step explanation: becuase today I was helping out a freind with this. So it the first one
Can someone please help me ?????
Answer: 52
Step-by-step explanation:
is that all there is to it? just simply adding up 12 + 32 + 8, adding up the number of women who took the survey? if so, the answer is 52.
1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?
Two students are reading a novel. Ashley reads 2 pages per day. Carly reads 1 page per day, but she starts early and is already on page 5. When will the two students read on the
same page?
Ashley:p=2d
Carly:p=d+5
In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?
Right triangle A B C is shown. Side B C is the hypotenuse.
9 StartRoot 3 EndRoot
StartFraction 9 Over StartRoot 3 EndRoot EndFraction
9
StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Answer:
The Answer is D StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
Trust me edge 2022
Combine like terms.
3(2-5) – (4w=11)
Answer:
-5 = w
Step-by-step explanation:
3(2-5) – (4w=11)
Distributive property
6 - 15 - 4w = 11
Combine like terms
-9 - 4w = 11
Add 9 on both sides
-9 + 9 - 4w = 11 + 9
-4w = 20
Divide by -4 on both sides to isolate the variable
-4w/-4 = 20/-4
w = -5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
i can solve this put first why is there an equal sign in between the parantasis
if you want to keep the equal sign delet the ()
Step-by-step explanation:
3(2-5) – 4w=11
-9-4w=11
-4w=20
w=-5
you have to do parantasis first
p--parantasis
e--exponents
m--multiplication
d--division
a--adition
s--subtraction
i’ll mark brainliest
A:C
Step-by-step explanation:
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
The Vertex is (-2,1)
And the focus is (-2,3)
Complete the statement.
The polynomial function f(x) = ____.
(x + 2)(x - 2)(x + √3)
(x + 2)(x +√3)(x-√3)
(x - 2)(x + √3)(x-√3)
(x + 2)(x - 2)(x + √3)(x-√3)
Answer:
B
Step-by-step explanation:
edg 2020
The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3) which is correct answer would be option (B).
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the polynomial function:
⇒ x³ + 2x² - 3x -6
Simplify the radical by breaking the radicand up into a product of known factors.
⇒ x³ + 2x² - 3x -6
Add and subtract the second term to the expression and factor by grouping.
⇒ x²(x + 2) - 3(x + 2)
⇒ (x + 2)(x² - 3)
⇒ (x + 2)(x +√3)(x-√3)
Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).
Learn more about the polynomials here:
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The question seems to be incomplete the correct question would be
If a polynomial function is x³ + 2x² - 3x -6 find the factorized form which is f(x)
The polynomial function f(x) = ____.
What is the constant of proportionality of y=9x so what does k=
Solve 22x − 2 = 15. Round your answer to the nearest hundredth.
Answer:
0.77
Step-by-step explanation:
Original equation: 22x-2=15
Add 2 to both sides: 22x=17
Divide by 22 on both sides: x=17/22, or 0.77
Let me know if this helps!
I need help here with explanation pleaseeeee
Kelly has 7 days to read 60 pages of a book for school. She plans to read 8 pages a night for 6 nights.What percent of the assigned pages will she have left to read on the last night?
Answer:
20 percent left
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Which relationships describe angles 1 and 2 ?
select each correct answer
-complementary angles
-vertical angles
-supplementary angles
-adjacent angles
Find the length of the line segment formed by the points (2, 3) and (2, 5)
Answer:
2 units
Step-by-step explanation:
Given data
The points are (2, 3) and (2, 5)
x1= 2
y1= 3
x2= 2
y2= 5
substitute into the distance between two points formula
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-2)²+(5-3)²)
d=√(2)²)
d=√4
d= 2 units
Hence the length is 2 units
Find the nonzero whole number in the definition of "less than" 22<34
Answer:
The inequality is always true.
True
(づ￣ ³￣)づ
is that algebra?
Add.
(2x - 7) + (3x - 1)
O A. 5x - 8
B. 5x + 8
O C. 5x-6
D. 5x + 6
The number of tourists visiting a city doubles every month during the two-month period beginning in Jan, 1st and ending
in Feb, 28th each year, if the number of tourists who visited the city in the beginning of January in that particular year was
x, how many tourists visited the city at the end of February that year?
The number of tourists who visited the city at the end of February that year is 4x.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The number of tourists visiting the city doubles every month, which means the number of tourists at the end of January is 2 times the number of tourists at the beginning of January, or 2x.
Similarly, the number of tourists at the end of February is 2 times the number of tourists at the end of January, or 2(2x) = 4x.
Therefore,
The number of tourists who visited the city at the end of February that year is 4x.
Learn more about expressions here:
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HELP! Below is the graph of a polynomial. Which statement about this graph is true?
A. The point (-2,1) is a maximum
B. The point (5,0) is an extreme
C. The point (2,-1.12) is a minimum
D. The point (2,-1.12) is a maximum
