Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.
The sample mean is of 15, thus [tex]\overline{x} = 15[/tex].The sample standard deviation is of 9, thus [tex]s = 9[/tex].The sample size is of 10, thus [tex]n = 10[/tex].First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.
Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.
The margin of error is of:
[tex]M = t\frac{s}{n}[/tex]
Then:
[tex]M = 2.2622\frac{9}{\sqrt{10}} = 6[/tex]
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
Then
[tex]\overline{x} - M = 15 - 6 = 9[/tex]
[tex]\overline{x} + M = 15 + 6 = 21[/tex]
The confidence interval is (9, 21).
A similar problem is given at https://brainly.com/question/25157574
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:
https://brainly.com/question/25058626
#SPJ2
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°
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
0.436 x 6
2.616
More info
Step-by-step explanation:
Brainliest or.. else..
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
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 !!
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)☺️)
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
what is 4x+2=-12+6x?????????
Answer:
x=7
Step-by-step explanation:
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 mLSam 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
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
Solve the equation by factoring.
x2 – 64 = 0
Answer:
x=32
Step-by-step explanation:
x2 -64 = 0
+64 = +64
x2=64
x2/2 = 64/2
x = 32
hope this helps.
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
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
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
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!
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)
Problem:
Report Error
On Tuesday, a radio store reduces all of its prices by 20% from what they were on Monday.
On Wednesday, the store again reduces all of its prices by some percentage from what they were on Tuesday. If the resulting price of a radio is half of the original Monday price,
then by what percentage did the store reduce its prices from Tuesday to Wednesday?
Answer/Step-by-step explanation:
Call Monday's price, P
Tuesday's price must just be .80P [ 20% reduction]
Call Wednesday's price reduction ( 1 - R)
So...we have that
Tuesday's price * Wednesday's reduction = (1/2)P
(.80)P *( 1 - R) = (1/2)P divide through by P and note that 1/2 = .50
.80 (1 - R) = .50 divide both sides by .80
1 - R = .50/.80
1 - R = 5/8
1 - 5/8 = R
3/8 = R = .375 = 37.5% = the reduction from Tues. to Wed.
Proof of this...let Monday's price = 100
Tuesdays price = .80 * 100 = 80
Wed price = 80 (1 - R) = 80 (1 - .375) = 50 = half of Mon. price
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
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:
4x - 1 < 7 i don’t know what to do
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
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.
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
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
What is the value of h?
h = 20
h = 35
h = 55
h = 70
Answer:55
Step-by-step explanation:
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)
Learn more :https://brainly.com/question/25173276
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:
https://brainly.com/question/2396419
Determine which is the better buy.
4 gallons of oil for 9.16$ or 11 gallons of oil for 25.30$
HELP ME PLS
Answer:
4 gallons of oil for $9.16
Step-by-step explanation:
[tex] \frac{4}{9.16} = \frac{1}{x} [/tex]
[tex]4x = 9.16[/tex]
x = $2.29
[tex] \frac{11}{25.30} = \frac{1}{x} [/tex]
11x = 25.30
x = $2.30
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
20.00
...............