Answer:
g=9.4
Step-by-step explanation:
subtract 1.5 from both sides
-2g=-18.8
divide both sides by -2
g=9.4
Have a good day!
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
of the 480 canned foods collected, 45% of them were canned vegetables. How many canned vegetables did the school collect last month
Two numbers have a sum of 117 and a difference of 43. Find the numbers.
a: 83, 40
b: 80, 37
c: 160, -43
d: 70, 47
Answer:
this kid grayson is deleting my answer and i dont know how when they arent even his questions and he is being a little brat
Step-by-step explanation:
so watch out for him
Find the equation of the line passing through the points (3,1) and (7,-7)
Answer:
y = -2x + 7
Step-by-step explanation:
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the point (3,1) and (7,-7), calculate the slope:
[tex]\displaystyle m=\frac{-7-1}{7-3}[/tex]
[tex]\displaystyle m=\frac{-8}{4}=-2[/tex]
m = -2
No w we use any of the given points: (3,1) and substitute in the equation of the line:
y - 1 = -2 ( x - 3 )
Multiplying:
y - 1 = -2x + 6
Adding 1:
y = -2x + 7
The deer population is estimated to be 17,600 in northern Illinois, but an actual count was 21,300. What is the percent error? 1 point 82.6% 21% 20% 17.4% Last week, you finished Hurry
Answer:67
Step-by-step explanation: 82.6% is over 49
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:
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
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:
David weeds lawns in his neighborhood to earn money to buy video games. For each lawn, he charges $11.50. If he weeds 4.5 lawns on Saturday, how much money will he earn? please help im on a time limit
A
$10.35
B
$51.75
C
$103.50
D
$517.50
OK I NEED HELP PLEASE NOW
I WILL GIVE BRAINLYIST
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.
PLEASE HELP ME QUICK!!
A company produces circular drink coasters. The equation x2 + y2 = 18.0625, with units in inches, represents the size of a coaster. Each coaster is cut from a square piece of cardboard. What is the minimum possible area of each cardboard piece?
4.25 in^2
8.5 in^2
18.0625 in^2
72.25 in^2
Answer:
D
Step-by-step explanation:
72.25 in^2
The minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
What is the equation of a circle?The equation of the circle is the equation that is used to represent the circle in the algebraic equation form with the value of the center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle, and (r) is the radius of the circle.
A company produces circular drink coasters. the equation which represents the size of a coaster is,
[tex]x^2+y^2=18.06[/tex]
The units are in inches. This equation can be written as,
[tex]x^2+y^2=(280/16)[/tex]
[tex]x^2+y^2=(17/4)^2[/tex]
Compare it with the equation of the circle, we get,
h=0
k=0
r=17/4 inch
The radius of the circular coaster is 17/4. Its diameter of it is,
[tex]d=2\times \frac{17}{4}\\ \\d=\frac{17}{2}[/tex]
Now, each coaster is cut from a square piece of cardboard. The diameter of the circular coaster will be equal to the side of the square piece of cardboard.
a=d=17/2 inch
The area of the square is the square of its side. Thus, the area of a square piece of cardboard is,
A=a^2
A=(17/2)^2
A=75.25inch^2
Thus, the minimum possible area of each square cardboard piece that is used to produce circular drink coasters is 72.25 in².
Learn more about the equation of circle here;
brainly.com/question/1506955
#SPJ2
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.
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
what is the median for 9, 1, 9, 6, 5 and for 2, 10, 7, 1
Answer:
median for 9,1,9,6,5 is 6 and for 2,10,7,1 is 4 1/2
I got it by lining up the first numbers 1,5,6,9,9 and 6 was middle second one i lined it up 1,2,7,10 and 2 and 7 were middle so added them together and divided by 2 and got 4 1/2
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
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:
Which of the following shows the best way to add - 45 and 105. Explain in a sentence explaining why you chose your answer.
A) 45- 105
B) -(45 + 105)
C) 105-45
D) 105+45
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
what is 21 because what it is
Answer:
9 +10
Step-by-step explanation:
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.
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:
What is the value of x in the solution to this system of equations?
4x+y=18
x=15−2y
A. 2
B. 3
C. 4
D. 6
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
pls pls pls pls pls help!!!!!!!!!
1. Explain how to plot each value on a number line?
Values -1, 5, -2.5, -3, 2
2. What is the order of these values from least to greatest?
-----------------
1. of the 5 values which 1 is not an integer?
Answer:
1) View image attached
2) -3, -2.5, -1, 2, 5
3) -2.5
Step-by-step explanation:
1) Draw a number line, an image is shown below with the number line. You then put "points" on the values that you are plotting. This is also shown in the image attached.
2) The ones with the "-" are negative, meaning that they are below 0. These will always be smaller than those without a "-" sign. In addition to this, the way negative numbers work in terms of least to greatest is completely flipped. For example, -5 is greater than -10, and -10 is less than -5. If the numbers were positive, 5 would be less than 10 and 10 would be greater than 5.
3) The value that isn't an integer is the one that isn't a whole number. In those answer choices you gave, the only one with a decimal is -2.5 (as indicated by the ".5"
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
A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the y-intercept of the regression line?
AWhen the grade is 0, the predicted number of procrastination days is 0.
BWhen the grade is 0, the predicted number of procrastination days is 96.5.
CWhen the number of procrastination days is 0, the predicted grade is 3.64 points.
DWhen the number of procrastination days is 0, the predicted grade is 96.5 points.
Answer:
The best option is: When the number of procrastination days is 0, the predicted grade is 96.5 points.
Option D is correct option.
Step-by-step explanation:
The regression equation given is: [tex]y= -3.64x + 96.5[/tex]
where x represents the number of procrastination days and ŷ is the predicted grade.
Which statement best describes the meaning of the y-intercept of the regression line?
First we need to identify what is y-intercept in regression line.
The y-intercept of the regression line is the value of output y when x is 0.
So, when x = 0, the value of output is y-intercept
So, if x = 0
we get:
[tex]y= -3.64x + 96.5\\y= -3.64(0) + 96.5\\y=0+96.5\\y=96.5[/tex]
So, the best option is: When the number of procrastination days is 0, the predicted grade is 96.5 points.
Option D is correct option.
Answer:
i just did the test, the person above me is correct!
Step-by-step explanation:
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:
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
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! :)
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
Which expression represents 6 less than a number, n?
Answer:
n-6
Step-by-step explanation:
less than is subtraction
6 is taken away from n
n-6
