The best way to approach a word problem like this
is to break it down into pieces, so we can understand it fully.
In this problem, we have a number, which we don't know.
We can use any variable to represent it.
So let's use the variable n to represent it.
"Two less than three times a number" means 3n - 2.
A common mistake is for students to put 2 - 3n.
However, the word "less than" switches the order around.
So we have 3n - 2 = 19.
Solving from here, we add 2 to both sides to get 3n = 21.
Now divide both sides of the equation by 3 and we have n = 7.
So the number is 7.
Gabi has 8 boxes of compact discs on each 6 shelves each box contains 10 cds. How many cds does gabi have
Answer:
480
Step-by-step explanation:
8 boxes
x
6 shelves -- 48x10
480
requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Applicance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Applicance should reject the batch.
Complete Question
The National Appliance Company makes refrigerators. One of its suppliers, the Exeter company, produces plastic shelves for the refrigerators and ships them in large lots. The National Appliance Company requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Appliance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Appliance should reject the batch.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that proportion of defective shelf is less than or equal to 0.10 hence the National Appliance Company should reject that batch of shelfs
Step-by-step explanation:
From the question we are told that
The population of defective plastics is [tex]p = 0.10[/tex]
The sample size is n = 573
The number of shelf that are defective is k = 70
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = 0.1222[/tex]
The null hypothesis is [tex]H_o : p \le 0.10[/tex]
The alternative hypothesis is [tex]H_a : p > 0.10[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1 - p)}{ n } } }[/tex]
=> [tex]z = \frac{ 0.1222 - 0.10 }{ \sqrt{\frac{0.10 (1 - 0.10 )}{ 573 } } }[/tex]
=> [tex]z = 1.77[/tex]
From the z table the area under the normal curve to the right corresponding to 1.77 is
[tex]p-value = P(Z > 1.77 ) = 0.038364[/tex]
From the question we are told that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that proportion of defective shelf is less than or equal to 0.10 hence the company should reject theat batch of shelfs
8.
Mia's booth rental fee at a hair salon is $128 per week. Which table shows the sum of the amount that Mia will pay over the next 8 weeks?
Answer: If you're renting a chair/booth, it's making sure ALL of the costs ... That's $3000 in revenue generated per week or $150K in revenue ... It's waiting for hair to dry.
Step-by-step explanation:
(a) 3,235 ft? is about how many m??
Answer:
If you mean m as in miles, then approx 0.61 miles.
Step-by-step explanation:
There are 5280 feet in a mile, so divide 3235 by 5280.
Answer: About 986 meters.
Step-by-step explanation: You can multiply by the unit conversion
.3085 m/1 /ft × 3235ft = 986.028
Or divide 3235/3.281 Same thing. Round to "about 986 meters."
how do I solve 7x+3=59
Answer:7x+3=59
59-3
7x=56
Then you divide them both by 7
7x/7=56/7
Then you get your answer
X=?
I'll let you do the last part tho
Step-by-step explanation:
This is for fun type as many Christmas songs as you can below my fav will get brainiest you will get 35 points as well.
again this is for fun and also HURRY UP AND TYPE only 2 users get to do this
this is the last one so HURRY
Answer:
A
Step-by-step explanation:
Answer: All I want for Christmas is you lyrics lol
I don't want a lot for Christmas
There is just one thing I need
I don't care about the presents
Underneath the Christmas tree
I just want you for my own
More than you could ever know
Make my wish come true
All I want for Christmas is you, yeah
I don't want a lot for Christmas
There is just one thing I need
And I don't care about the presents
Underneath the Christmas tree
I don't need to hang my stocking
There upon the fireplace
Santa Claus won't make me happy
With a toy on Christmas Day
I just want you for my own
More than you could ever know
Make my wish come true
All I want for Christmas is you
You, baby
Oh, I won't ask for much this Christmas
I won't even wish for snow
And I'm just gonna keep on waiting
Underneath the mistletoe
I won't make a list and send it
To the North Pole for Saint Nick
I won't even stay awake to
Hear those magic reindeer click
'Cause I just want you here tonight
Holding on to me so tight
What more can I do?
Baby, all I want for Christmas is you
You, baby
Oh, all the lights are shining so brightly everywhere
And the sound of children's laughter fills the air
And everyone is singing
I hear those sleigh bells ringing
Santa, won't you bring me the one I really need?
Won't you please bring my baby to me?
Oh, I don't want a lot for Christmas
This is all I'm asking for
I just wanna see my baby
Standing right outside my door
Oh, I just want you for my own
More than you could ever know
Make my wish come true
Baby, all I want for Christmas... is you
You, baby
All I want for Christmas is you, baby
All I want for Christmas is you, baby
All I want for Christmas is you, baby
All I want for Christmas is you, baby
All I want for Christmas is you, baby
Step-by-step explanation:
EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?
Answer: 6, 21, 3
Step-by-step explanation:
2:7:1
Also, 2x 7x and 1x or just x
2x+7x+x = 30
10x = 30
x=3
So the three numbers: 2(3):7(3):1(3) OR 6:21:3
Write an inequality that represents the verbal expression. 9 less than a number n is less than 17
Answer:
9<n<17.
Step-by-step explanation:
At Edwards Middle School there are 8 teachers for every 136 students. There are 850 students enrolled at the school. How many teachers are needed?
Answer:
50
Step-by-step explanation:
one teacher per 17 students
Please help thank you
Answer: 3
Step-by-step explanation:
simply divide 1200 by 400. :)
what is the mode for 9,4,4,4,3,2
Answer:
Mode 4
Step-by-step explanation:
Mean x¯¯¯ 4.3333333333333
Median x˜ 4
Mode 4
Range 7
Minimum 2
Maximum 9
Count n 6
Sum 26
Quartiles Quartiles:
Q1 --> 3
Q2 --> 4
Q3 --> 4
PLZ HELP WILL GIVE BRAINLIEST
Answer:
it is B trust me I know what im doing
Answer:
-16x - 10
Step-by-step explanation:
-8x - 2(5+4x)
Multiply -2 by the numbers within the parenthesis:
-8x - 10 - 4x
Combine like terms:
-16x - 10
Three questions Please HELP!
At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)
(1,6)
(2,6)
(2,5)
(1,5)
2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
(1 point)
Their intersection point is the only point where different inputs into both functions yield different outputs.
Their intersection point is the only point where the same input into both functions yields different outputs.
Their intersection point is the only point where different inputs into both functions yield the same output.
Their intersection point is the only point where the same input into both functions yields the same output.
3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Answer:
2,6
Step-by-step explanation:
Answer:
1. (2,6)
2. C
3. B
Step-by-step explanation:
y = - 2x + 10
y = x + 4
SInce the two equation both equal y, we can said they are equal.
- 2x + 10 = x + 4
- 10 - 10
- 2x = x - 6
- x - x
- 3x = - 6
/-3 /-3
x = 2
Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.
- 2(2) + 10 = 2 + 4
- 4 + 10 = 6
6 = 6
This is true since both sides are equal.
The point that intersects y=-2x+10 and y=x+4 is (2,6).
2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
C) Their intersection point is the only point where different inputs into both functions yield the same output.
Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).
3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.
y = - 1/3x + 5
y = - 1/3(0) + 5
y = 5
Point: (0,5)
Slope: - 1/3
Rise over run (y/x) so up 3 and left 1.
B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
Which is more, 8 yards or 287 inches?
Answer:287 inches are greater than 8 yards
this is because 36 inches=1 yard and 8 x 36 equals 288 inches ,and 288 inches is less than 287 inches.
An adult seal at a marine park consumes 2,400 kilograms of food in one year. If it consumes the same amount of food every month, how many kilograms of food does the seal consume per month?
PLEASE HELP
If the spinner is spun, what are the ODDS that the pointer lands on the number 6 or greater?
Answer:
What's the spinner? How many numbers are on it?
Step-by-step explanation:
find a number such that five more than one half the number is three times the number
Answer:
0.5
Step-by-step explanation:
Piont P is plotted on the coordinate grid. If point S is 10 units to the left of point P, what are the coordinates of point S?
Answer:
the answer is b
Step-by-step explanation:
because p is at (6,4) and its moving to the left so the y wont change but the x will so subtract 10 units from 6 and you get -4.
if you buy $200 headphones and you get 25% off how much money will you save?
Answer: You'll save $50
Work: I just did $200 multiplied by .25 (Percentage of Coupon) and I received the answer $50.
I hope this helps, and Happy Holidays! :)
What is the equivalent addition problem -9.5 –(-8) – 6.5?
Answer:
8+8+8 or 9.5+8+6.5
I hope this helped u :)
Step-by-step explanation:
Pablo rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 82 cents for each
mile driven. Pablo had to pay $131.93 when he returned the truck. For how many miles did he drive the truck?
miles
Solve 5 (y + 10) = 7y
Answer:
25
Step-by-step explanation:
Hi there! In order to solve this equation, all you have to do is distribute the 5 to the (y+10) and then shift like terms. Once you do that, you would get 5y+50=7y, and then you subtract the 5y from the 7y in order to get the 50 by itself. That would get you 2y, and from there, you just simply divide the value of 50 by 2y- getting you to 25 as the value of y. I hope this helped! <3 (Please mark as branliest if I got this right!)
Answer:
y = 25
Step-by-step explanation:
Distribute 5 (y+ 10) to get
5y + 50 = 7y
subtract the 5y from both sides to get
50 = 2y
divide the 2 from 2y on both sides to get
25 = y, or y = 25
please help me with the attachment below,will give brainliest
Answer:
(b) 8n-2n+14n
Hope this helps
Answer:
B) 8n - 2n - 14n
Step-by-step explanation:
What we know:
0 is our starting point.
We're going forward by 8n first, so that's the minuend. Indicate that with +8n.
We're going back twice. First by 2n, then by 14n, so those two are the subtrahends. Indicate these two as -2n and -14n respectively.
That completes the expression of 8n - 2n - 14n.
The Alden Middle School girls' soccer team won 75% of its games this season. If the
team won 9 games, how many games did it play? Solve this problem using a table,
diagram or picture model.
Answer:
12
Step-by-step explanation:
75% = 3/4 = 9games
1/4 = 3games
4/4 = 12 games
Mars is 1.5 AU. How many miles apart is Mars from the Sun?
Answer:
It would be 142 million miles
Step-by-step explanation:
Answer:
Mars is about 142 million miles away from the sun.
The coordinate pairs could represent the the vertices of a triangles congruent to KLM?
PLEASE HELP THIS IS TIMED
Answer:
D
Step-by-step explanation:
Answer:
Your answer is D :)
Step-by-step explanation:
I hope this helped
While printing material from the Internet, Greg used 10 pages of paper from a package of 500 sheets of paper. What percent of the paper did he use?
Answer:
2%
Step-by-step explanation:
The percentage of paper used is 2%
Webster found this table in his algebra book. What are the y-intercept and slope of the line represented by this data?
x = 1,2,3,4
y=5,7,9,11
A.
y-intercept = 0; slope = 2
B.
y-intercept = 3; slope = 12
C.
y-intercept = 2; slope = 3
D.
y-intercept = 3; slope = 2
Super easy!!!!
Which material will heat up the quickest? *
asphalt
cement
steel painted white
Sod
Answer:
steel painted white
Step-by-step explanation:
what is sod?
Answer:
Sod.
Explanation:
Sod is surprisingly good at aiding in the heating process!
Even while wet, it will accelerate the heating process.
How would you describe the difference between the graphs of f(x) =2/3x^3 and g(x)=2/3(-x)^3
A. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the y-axis.
C. g(x) is a reflection of f(x) over the x-axis.
D. g(x) is a reflection of f(x) over the line y = 1.
