Considering the situation given, it is found that:
The null hypothesis is [tex]H_0: \mu = 2000[/tex]The alternative hypothesis is: [tex]H_1: \mu > 2000[/tex].At the null hypothesis, we test if they average the same amount of trouble hours as last year, that is, of 2000 trouble hours, thus:
[tex]H_0: \mu = 2000[/tex]
At the alternative hypothesis, we test if this amount has increased, that is:
[tex]H_1: \mu > 2000[/tex]
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Emma is making a snack mix of pretzels and peanuts. For every batch, she uses 2 thirds cup of peanuts and 3 u 2 , 1 half cups of pretzels. Use the ratio of pretzels to peanuts to find the constant of proportionality. Write an equation that relates the amounts of pretzels and peanuts in the snack mix.
Answer:
Explanation:
So the equation it's asking you to do is like y=kx ,
so your k is 2/3.
y=2/3x
Then for x it's 3 1/2.
y= 2/3(3 1/2)
now your "y" is any variable to hold the other too.
Hope this helped!
y= 2/3( [tex]3\frac{1}{2}[/tex]) is the equation that relates the amounts of pretzels and peanuts in the snack mix.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Emma is making a snack mix of pretzels and peanuts
For every batch, she uses 2/3 cup of peanuts and [tex]3\frac{1}{2}[/tex] cups of pretzels
We need to find an equation that relates the amounts of pretzels and peanuts in the snack mix.
The equation will be in the form of y=kx
From the given information the value of k is 2/3
y=2/3x
y= 2/3( [tex]3\frac{1}{2}[/tex])
Hence, y= 2/3( [tex]3\frac{1}{2}[/tex]) is the equation that relates the amounts of pretzels and peanuts in the snack mix.
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please help me with this work
Answer:
Here is question number one's perimeter and area.
The points you are giving are really low so I will just do one
Evaluate each expression if x = -2 and y = 3
number 34
show step by step please!!
Will give brainliest if correct
Find the slope:
15. (4, 3); (-1, 10)
16. (3, -5); (2, -5)
17. (-5, 2); (-5, 3)
Answer:
15) Slope (m) = -7/5
16) Slope (m) = 0
17) Slope (m) = 1/0 (It's an undefined slope, in other words it's just a vertical line)
Step-by-step explanation:
Use this formula for each, to find slope⤵⤵⤵
[tex] \frac{y {2} - y1}{x2 - x1} [/tex]
15) ⤵
[tex] \frac{10 - 3}{ - 1 - 4} = \frac{7}{ - 5} = - \frac{7}{5} [/tex]
16) ⤵
[tex]\frac{ - 5 - ( - 5)} {2 - 3} = \frac{0}{ - 1} = 0[/tex]
17) ⤵
[tex] \frac{ 3 - 2}{ - 5 - ( - 5)} = \frac{1}{0} [/tex]
Hope this helps :)
SOLVE FOR X ILL GIVE BRAINILEST
Answer:
x = -4
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = -4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](-2)(3x)+(-2)(-4)-x-3=33[/tex] [tex]-6x +8 - x - 3 = 33[/tex] [tex](-6x-x)+(8-3)=33[/tex] [tex]-7x + 5 = 33[/tex]Step 2: Subtract 5 from both sides.
[tex]-7x + 5 - 5 = 33 - 5[/tex] [tex]-7x = 28[/tex]Step 3: Divide both sides by -7.
[tex]\frac{-7x}{-7} =\frac{28}{-7}[/tex] [tex]x = -4[/tex]Step 4: Check if solution is correct.
[tex]-2(3(-4)-4)- (-4)-3=33[/tex] [tex]-2(-12-4)+4-3=33[/tex] [tex](-2)(-12)+(-2)(-4)+4-3=33[/tex] [tex]24 + 8 + 4 - 3 = 33[/tex] [tex]32 + 4 - 3 = 33[/tex] [tex]36 - 3 = 33[/tex] [tex]33 = 33[/tex]Therefore, x = -4.
Help!
Solve for B: -6 + 2 + 3B + 4 = 2(4 + 1) - 1
Answer:
B=1.7
Step-by-step explanation:
-6+2+3B+4=2(4+1)-1
-6+2+4+3B=2(4+1)-1
3B=2-1(4+1)
3B=4+1
3B=5
B=5/3=1.7
Dennis decided he wanted to go to the carnival. The carnival charges $6.00 for entry and $1.50 for each ride.
Part A
Write an expression to represent this scenario where r represents the number of rides.
Part B
Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $35.00. Show your work.
We want to create a linear equation to model the given situation.
A) c(r) = $6.00 + $1.50*r
B) 19 rides.
We know that the carnival charges $6.00 for entry plus $1.50 for each ride.
A) With the given information we can see that if you ride for r rides, then the cost equation will be:
c(r) = $6.00 + $1.50*r
Where c(r) is the cost for going to the carnival and doing r rides.
B) If you have $35.00, then we can solve:
c(r) = $35.00 = $6.00 + $1.50*r
Now we can solve the equation for r.
$35.00 = $6.00 + $1.50*r
$35.00 - $6.00 = $1.50*r
$29.00 = $1.50*r
$29.00/$1.50 = r = 19.33
Rounding to the next whole number we get: r = 19
This means that with $35.00, Dennis could go to 19 rides.
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please help I dont understand
Answer:
I dont know The answer sorry
Step-by-step explanation:
Answer: 2
Step-by-step explanation: The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
6. Write the following cubes in expanded form:
(iii) (3a + 4b)³
8. Evaluate the following cubes using suitable Identities:
(ii) (999)³
Answer:
Step-by-step explanation:
we can use this algebraic identity:
[tex](a+b)^{3} =a^{3} +b^{3} +3ab(a+b)[/tex]
So,[tex](3a+4b)^{3} =(3a)^{3} +(4b)^{3}+3(3a)(4b)(3a+4b)[/tex]
=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +36ab(3a+4b)[/tex]
=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +108a^{2} b+144ab^{2}[/tex]
[tex](999)^{3}[/tex]=[tex](1000-1)^{3}[/tex]
Now, we can use the following identity:
[tex](a-b)^{3} =a^{3} -b^{3} -3ab(a-b)[/tex]
=[tex](1000-1)^{3} =1000^{3} -1^{3} -3(1000)(1)(1000-1)\\[/tex]
[tex](1000-1)^{3} =1,000,000,000-1-2,997,000[/tex]
[tex](1000-1)^{3} =997,002,999[/tex]
Molly has 3 pounds of blueberries. She is freezing the berries into 1 half pound portions. How many smaller portions of blueberries will Molly make
Answer:
6 smaller portions
Step-by-step explanation:
1 pound (lb) = 16 ounces (oz)
3 lbs = 48 oz
1/2lb = 8oz
48oz (total)/8oz (amount in each portion) = 6 portions
It took Sharon 105 minutes to wash three cars and put everything away. If she spent 10
minutes putting everything away, how long did it take to wash each car?
8. Negative three times the sum of a number and two is fifteen
Answer:
-3(n + 2)= 15
Step-by-step explanation:
Based on this question, we know that the equation involves multiplication. Here we start our equation with -3!
Then it says "times the sum of a number and two" So let's just say the "number" is "n". The word "sum" means the answer to an addition problem, thus we know that we are adding "n" and 2. Let's put that in parenthesis!
-3(n+2)
And it says "is fifteen" which also means "equals to fifteen"
Therefore, the answer is:
-3(n + 2) = 15
Hope you find this useful :D
If someone could help me I would mean a lot man.
Use the equation for the constant of proportionality, k =y/x, to determine each unknown value.
a. k = and y = 15
b.k = 1 and y = 5
Answer:
a k= and y=15
B . k=1 and y=5
Evaluate the expression for y = 2. Simplify your answer.
4/y=
The correct equation that goes through the point (3, 4) and is parallel to the line y=2x+1
Answer: y = 2x -2
Step-by-step explanation: parallel is same slope diff y intercept
y = 2x
4 = 2(3) + x
4 = 6 + x
x = -2
Need help ASAP 50 points ?!!!
Answer:
pretty sure it's 11
Step-by-step explanation:
Substitute x with -44
Answer:
11
Step-by-step explanation:
f(x) = f(-44) plug in -44 for x
10 - -44/44
10 - (-1)
I do something called KFC, keep flip change
10 + 1 = 11
f(x)=2x-3;find f (0), and f(x-3)
Answer:
f(x) = 2x – 3
f(0) = 2(0) – 3 = -3
f(1) = 2(1) – 3 = 2 – 3 = -1
(f(0) + f(1))/2 = (-3 - 1)/2 = -4/2 (f(0) + f(1))/2 = - 2
please help me with this
Answer:
Okay the answer is
Answer:
3+(4+5) - (3+4)+5
7 . (2 . 5) - (7 . 2) . 5
5 . 9 - 9 . 5
3+4 - 4+3
The Dot's mean multiplication
Step-by-step explanation:
4x - 3 = 5 X=? can anyone tell me please
Answer:
x = 2
Step-by-step explanation:
4x - 3 = 5
4x = 8
x = 8/4
x = 2
------------
4 (2) - 3 = 5
8 - 3 = 5
5 = 5
answer: x = 2
Can someone tell me the answer to this please?
Answer:
B
Step-by-step explanation:
If 10% is RS 1500 then find 90%.
Answer:
10%=1500
so 100% = 15000
90%= 100% - 10%
15000-1500=13500
90%=13500
Find the product of 54 and the sum of 15
Answer:
6 and 9 are the two numbers that have a sum of 15 and when multiplied + 54
Step-by-step explanation:
Jessica plants a seed 3 1/2 inches below the ground. The plants grows from 15 3/4 inches . What is the height of the plant above ground?
Answer:
49/4 inches
Step-by-step explanation:
Inches below ground= 3 1/2 inches
Plant's full height=15 3/4 inches
Height above ground = 15 3/4 inches -3 1/2 inches
63/4 - 7/2
63-14/4
49/4 inches
Pls help! I need this for a test tomorrow
Answer:
I didn't know if you wanted to get the answer
does anyone know how to do this
Answer:
(2,2)
Step-by-step explanation:
To draw a graph you find the y value for a couple of x values. For a linear equation like the one given, two points are enough because the graph is always a straight line.
First graph
First, convert the equation into the y=... form:
x - y = 0 => y = x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=0, so (0,0) is a point on the graph
for x=5, you find y=5, so (5,5) is a point on the graph
Now plot these two points and draw a line through them.
Second graph
First, convert the equation into the y=... form:
x + y = 4 => y = 4 - x
No choose two x values at random, e.g., 0 and 5:
for x=0, you find y=4, so (0,4) is a point on the graph
for x=5, you find y=-1, so (5,-1) is a point on the graph
Now plot these two points and draw a line through them.
A caterer will provide the meal for the football banquet. The caterer charges a base fee of $400 plus $6 per plate.
A. Write an equation for the function where y represents the total cost and x represents the number of guests.
B. What does the slope mean in this situation?
C. What does the y-intercept mean?
Answer: y = 6x + 400
slope = the increase in cost per extra plate
y-intercept = total cost
WHO WANTS TO SOLVE ANY MATH QUESTION?
Answer:ok
Step-by-step explanation:
ez ez ez ez
If p = -2 then 4p^3 = ?
Answer:
ok the answer is 2/p4
Step-by-step explanation:
Solve for x. 3(x−7)=6(x−10) Enter your answer in the box. x =
Answer:
X = 13
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Which of the following quadrilaterals must have at least one pair of parallel sides?
Check all that apply.
Rectangle, Square, Trapezoid, Parallelogram, Kite, Rhombus.
Explain your answer.
The quadrilaterals that must have at least one pair of parallel sides include all of the following except trapezoid. This implies Rectangle, Square, Parallelogram, Kite, Rhombus
What is a quadrilateral?A quadrilateral is a four-sided polygon with four edges and four corners in geometry. The word comes from the Latin words quadri, a variant of four, and latus, which means "side." A quadrilateral is a closed shape that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The sum of quadrilateral interior angles is always 360 degrees.
A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. It can also be defined as an equiangular quadrilateral because all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.
A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are equal in length, and its opposite angles are equal in size.
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