Answer:
y= mx+c
-4= -3/5(-5) + c
-4= -3/5 *-5+ c
-4=3+c
-4-3=c
-7=c
therefore the equation of the line is y=-3/5x-7
Step-by-step explanation:
the equation of a line is
y=mx +c
where y is the y coordinate
where m is the slope
where x is the x coordinate
where c is the y- intercept
The prices (in dollars) for a particular model of digital camera with 6.0
megapixels and an optical 3X zoom lens are shown here for 10 randomly selected online
retailers. Find 95% confidence interval of the true mean price for this particular
model.
225 240 215 206 211 210 193 250
225 202
Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)
Given the data :
225 240 215 206 211 210 193 250 225 202The confidence interval is defined as :
Since, sample size ls less than 30 we use a t-distribution table :
[tex] C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}[/tex]
Zcritical = [tex]t_{0.05/2, 9} = 2.26 [/tex] n = sample size = 10Using a calculator :
Mean, [tex]\bar{x} = 217.7 [/tex] Standard deviation, σ = 17.49Lower boundary = [tex] 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20[/tex]
Lower boundary = [tex] 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20[/tex]
Therefore, the confidence interval is (205.20 ; 230.20)
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The confidence interval is simply a range that contains the true mean of the population
The 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]
The given parameter is:
[tex]\mathbf{n = 10}[/tex]
Start by calculating the degree of freedom
[tex]\mathbf{df = n - 1}[/tex]
[tex]\mathbf{df = 10 - 1}[/tex]
[tex]\mathbf{df = 9}[/tex]
Next, calculate the mean
[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]
[tex]\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}[/tex]
[tex]\mathbf{\bar x = \frac{2177}{10}}[/tex]
[tex]\mathbf{\bar x = 217.7}[/tex]
Calculate the standard deviation
[tex]\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}[/tex]
[tex]\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}[/tex]
[tex]\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}[/tex]
[tex]\mathbf{\sigma = 17.49}[/tex]
Calculate the standard error
[tex]\mathbf{SE = \frac{\sigma}{\sqrt n}}[/tex]
[tex]\mathbf{SE = \frac{17.49}{\sqrt {10}}}[/tex]
[tex]\mathbf{SE = 5.53}[/tex]
At 95%, df = 9. the t-value is:
[tex]\mathbf{t= 2.262}[/tex]
So, the confidence interval is:
[tex]\mathbf{CI = \bar x \pm t \times SE}[/tex]
So, we have:
[tex]\mathbf{CI = 217.7 \pm 2.262 \times 5.53}[/tex]
Split
[tex]\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}[/tex]
[tex]\mathbf{CI = (205,19, 230.20)}[/tex]
Hence, the 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]
Read more about confidence intervals at:
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Brad's science class is heading to Skylight Observatory on a field trip. The observatory offers
a group rate for students that is $4 less per person than the normal cost. There are 27
students in Brad's science class. His teacher called ahead and found that the total cost for the
class will be $378. What is the normal cost per person?
Answer:
$18
Step-by-step explanation:
378 ÷ 27 = 14
14 + 4 = 18
The normal cost per person = $18
The normal cost per person is $18.
Given,
Brad's science class is heading to Skylight Observatory on a field trip.
The observatory offers a group rate for students that is $4 less per person than the normal cost.
There are 27 students in Brad's science class.
The total cost for the class is $378.
We need to find the normal cost per person.
How do we equally find the cost of each item from the total cost?We divide the total cost by the number of items.
Example:
7 bags cost $49
1 bag cost = $49 / 7 = $7
We have,
The number of students = 27
The total cost of the class trip with the offer = $378
Offer = $4 less than the normal cost per student
Now,
The offer cost for each person:
= $378 / 27
= $14
The normal cost for each person:
= $14 + $4
= $18
Thus the normal cost per person is $18.
Learn more about finding the normal cost for an individual here:
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4x - 1 < 7 i don’t know what to do
It is roughly 5,900 miles to fly from Denver to Rio de Janeiro. If it takes the airplane roughly 12 hours to reach its destination of Rio de Janeiro, what was the average speed of the airplane in feet per hour?
Answer:
I think I know !
Step-by-step explanation:
Ivan rented a truck for one day. There was a base fee of $18.99 , and there was an additional charge of 91 cents for each mile driven. Ivan had to pay $151.85 when he returned the truck. For how many miles did he drive the truck?
Answer:
146 miles
Step-by-step explanation:
hope this is correct
MARKING BRAINLEIST + A THANKS !!
PLZ HELP
A cylinder and a cone have the same diameter. 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use ll = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work
Answer:
This is the answer, dont forget to change the wording or you'll get a plagiarism strike.
Step-by-step explanation:
evaluate
8w - 2v if w = 5 and v = 3
Answer:
34
Here's Why:
8w - 2v = ?
8(5) - 2(3) = ?
40 - 6 = 34
Hope this helps!
Which graph does not represent a function?
Answer:
the full circle one
Step-by-step explanation:
use the vertical line test. Hold up a pen on any given spot in the graph (the pen has to be vertical) and if it goes through the line in 2 or more different places its not a function
An insurance agent earns a base salary of 32,000 and commission of 3% of his sale he also receives an additional fee of 16.00
Answer:
EHEHEHEHEHEHEHEGRGEHEHE
Step-by-step explanation:
22,324
Given below is an equation of a parabola. What are the coordinates of the vertex?
y = (x + 2)^2
a (–2, 0)
b (2, –2)
c (–2, 2)
d (2, 0)
Write the expression c · d · c · c · d · b · c · d · d · b · d · d · d · d using exponents. Write the variables in alphabetical order.
Answer:
b^2 * c^4 * d^6
Step-by-step explanation:
i think this is right
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
0.436 x 6
2.616
More info
Step-by-step explanation:
Brainliest or.. else..
what is 4x+2=-12+6x?????????
Answer:
x=7
Step-by-step explanation:
Please help me I need help
Answer:
10
Step-by-step explanation:
Use Pythagorean theorem,
Base² + altitude²= hypotenuse²
8² + altitude² = (2√41)²
64 + altitude² = 2²*(√41)² {(√41)² = √41*√41 = 41}
64 +altitude² = 4 * 41
64 +altitude² = 164
altitude² = 164 - 64
altitude² = 100
altitude = √100 = 10
BEST ANSWER WILL GET BRAINLIEST. Consider the table below. For what value of x does f(x)=-1f(x)=−1 ?
The correct answer would be 3. f(x) = -1, so you got to find the -1 in the y row of the table and just say that x =3 if y =-1.
Answer:
x = 3
Step-by-step explanation:
The question is asking for which value of x gives -1
You don't have an equation, however you do have a table of values
Y is similar to f(x) in the sense that it is the output, while x is the input.
All you must do is see where y = -1, this is the same for when f(x) = -1
So, there is only one moment where y = -1, which is when x = 3
With this, we can conclude that for the value of x = 3, f(x) = -1
A squirrel burrowed 6 holes in 2 minutes. How many holes could the squirrel burrow in 7 minutes?
Answer:
21 holes
Step-by-step explanation:
6 holes/2 minutes = x/7 minutes (cross multiply)
(6*7)/2 = 42/2 = 21 holes
What is the value of h?
h = 20
h = 35
h = 55
h = 70
Answer:55
Step-by-step explanation:
If l||m, find the value of y
Answer:
Step-by-step explanation:
6x + 7 + 3x - 16 = 180 {Supplementary}
6x + 3x + 7 - 16 = 180
9x - 9 = 180
9x = 180+ 9
9x = 189
x = 189/9
x = 21
6x + 7 = 6*21 + 7 = 126 + 7 = 133
11y - 32 = 6x + 7 {Vertically opposite angles}
11y - 32 = 133
11y = 133 + 32
11y = 165
y = 165/11
y= 15
What are the values of w and x ? For brainily
Answer:
w would be like 33 and x would be 45
Answer:
x=66, w=48
Step-by-step explanation:
since this is an isocsles triangle, x and angle j would have to have the same measure, 66 degrees. When you add 66 and 66 together, you can get the sum of angle j and x which is 132. You can subtract 132 from 180 (since all angles of the triangle add up to 180) to get w
180-132=48
so x=66 and w=48
Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each minute. Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).
coordinates please!
Answer:
See the graph attached
Step-by-step explanation:
Every minute = 3m
At time zero, the depth is zero
Giving coordinates of (0, 0)
At time 1 minute, the depth is 3m
Giving coordinates of (1, 3)
This gives a linear equation
Slope = Δy/Δx
= (3-0)/(1-0)
= 3/1
= 3
Take any general point (x, y)
The equation of the line is:
(y-0)/(x-0) = 3
y/x = 3
y = 3x
See the plot which goes up to a depth of 5m
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
20.00
...............
Sam bought a jacket marked $85.00 and a sweater marked $60.00. If the store was having a 20% off sale on all items, how many dollars did Sam save?
Answer:
he saved $7.25 Dollars
Step-by-step explanation:
$85 .00÷20% = 4.25 + $60.00 ÷ 20% = 3
Which equation shows a proportional relationship between x and y?
A. y = 9
B. y = 3x + 1
C. y = −3x − 2
D. y = 4x
NO LINKS
B. y=3x+1
Step-by-step explanation:
#Hopeee Itttt Helppsssssss!
A proportion relationship is a direct relationship between two variables thus y = 4x will be the proportional relationship between x and y thus option (D) will be correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
A proportional relationship is given as,
A ∝ B
Removing proportionality
A = kB
Here, k is the constant of proportionality.
As per the given in last option,
y = 4x
x = (1/4)y
Removing constant.
x ∝ y
Hence "A proportion relationship is a direct relationship between two variables thus y = 4x will be the proportional relationship between x and y".
For more information about ratios and proportions,
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Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum for a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72.
Work out the value of Dylan's initial investment.
two years at 3% = .03*2 = .06
so
.06 times original deposit = 72
so 72/.06
which is
1200
The graph of the equation 2x-3y = 7 is a line. If a point on this line has an x-coordinate of 10, what
is its y-coordinate?
Answer:
y = 13/3
Step-by-step explanation:
First input 10 as our x into the equation. So our new equation is 2(10) - 3y=7.
Once you simplify your equation would be 20 - 3y = 7. Subtract 20 from both sides. New equation is -3y = -13. Divide each side by -3. Your answer for y is 13/3.
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine
the final cost of the DVD.
Answer:
0.88%y + 0.03%
K12 is how i know the answer
what is 0.0000128 as a fraction
Answer:
128/10000000 Mark Brainliest Please
Step-by-step explanation:
What is 0.0000128 as a fraction?
To write 0.0000128 as a fraction you have to write 0.0000128 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.0000128 = 0.0000128/1 = 0.000128/10 = 0.00128/100 = 0.0128/1000 = 0.128/10000 = 1.28/100000 = 12.8/1000000 = 128/10000000
And finally we have:
0.0000128 as a fraction equals 128/10000000
Answer:
128/10000000
Step-by-step explanation:
To write 0.0000128 as a fraction you have to write 0.0000128 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.0000128 = 0.0000128/1 = 0.000128/10 = 0.00128/100 = 0.0128/1000 = 0.128/10000 = 1.28/100000 = 12.8/1000000 = 128/10000000
And finally we have:
0.0000128 as a fraction equals 128/10000000
(Hope this helps can I pls have brainlist (crown)☺️)
A
32°
B
D
=
С
m2C = [?]
Enter the number that belongs in
the green box
Enter
Answer:
58°
Step-by-step explanation:
in ΔABD
∠ADB = 32°
∠DBA = 90°
∠BAD = 180° - (32 + 90)
∠BAD = 58°
As ΔBAD ≅ ΔBCD
∠BAD = ∠BCD
So ∠BCD = 58°
A lead cylinder has a mass of 618.7 grams and a density of 2.70 g/mL. Calculate the volume, in mL, and round your answer to the correct number of sig figs.
Answer:
1670.49 mLStep-by-step explanation:
Volume = mass * density
Substitute values and calculate:
V = 618.7 * 2.7 = 1670.49 mL