Using the t-distribution, as we have the standard deviation for the sample, we could claim that the mean weight in pounds is in the interval (79.1, 85.7).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 100 - 1 = 99 df, is t = 2.6259.
The other parameters have values given by:
[tex]\overline{x} = 82.4, s = 12.6, n = 100[/tex].
We could claim that the mean is any value in the 99% confidence interval, which has bounds given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 - 2.6259\frac{12.6}{\sqrt{100}} = 79.1[/tex]
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 + 2.6259\frac{12.6}{\sqrt{100}} = 85.7[/tex]
More can be learned about the t-distribution at https://brainly.com/question/16162795
Find the solutions to the rational equation:
x+2 2x-4
3
2
(2 pts)
A
X = 2
B
x = 6
с
x = -2
D
x = 4
Answer:
D
Step-by-step explanation:
[tex]\frac{x+2}{3}[/tex] = [tex]\frac{2x-4}{2}[/tex] ( cross- multiply )
3(2x - 4) = 2(x + 2) ← distribute parenthesis on both sides
6x - 12 = 2x + 4 ( subtract 2x from both sides )
4x - 12 = 4 ( add 12 to both sides )
4x = 16 ( divide both sides by 4 )
x = 4
[tex] \longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]
What to Find : -In this question we have to find the value of x .
Let's Get start Solving : -[tex]\longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]
So , by cross multiplying :
[tex] \longrightarrow \: 2(x + 2) = 3(2x - 4)[/tex]
Now , calculation left hand side as well as right hand side :
[tex]\longrightarrow \: 2x + 4 = 6x - 12[/tex]
Now , transposing 6x to left hand side and 4 to right hand side :
[tex]\longrightarrow \: 2x - 6x = - 12 - 4[/tex]
Now , solving left hand side and right hand side :
[tex]\longrightarrow \: - 4x = - 16[/tex]
As negative sign is present on both the side , so it will cancel out :
[tex]\longrightarrow \: \cancel - 4x = \cancel- 16[/tex]
Now we have :
[tex]\longrightarrow \: 4x = 16[/tex]
Now we are transposing 4 to right side and it will change into division from multiplication :
[tex]\longrightarrow \: x = \cancel \frac{16}{4} [/tex]
So we get :
[tex]\longrightarrow \: \green{ \boxed{ \bold x = 4}}[/tex]
Therefore value of x is 4 .Verification : -We are verifying our answer by putting value of x in given question :
[tex]\longrightarrow \frac{4 + 2}{3} = \frac{2(4) - 4}{2} \: [/tex]
Solving ,
[tex]\longrightarrow \: \frac{6}{3} = \frac{8 - 4}{2} [/tex]
Now subtracting 8 and 4 :
[tex]\longrightarrow \: \frac{6}{3} = \frac{4}{2} [/tex]
Now , dividing 6 by 3 and 4 by 2 :
[tex]\longrightarrow \cancel{\frac{6}{3} } = \cancel{\frac{4}{2} }[/tex]
We get :
[tex]\longrightarrow \: \bold{2 = 2}[/tex]
That means ,
[tex]\longrightarrow L.H.S = R.H.S[/tex]
Hence Verified .Therefore our answer is correct .#[tex] \sf{Keep \: Learning}[/tex]how do you slove this question i know the answer but don't know how to get it ;A quart of milk costs $0.35. A case of 12 quarts cost $4.08. How much is saved per quart buying the case?
Answer:
$0.01 or 1 cent.
Step-by-step explanation:
Case: 12 quarts = $4.08
1 quart for case= $0.34
A quart normal= $0.35
0.35-0.34=$0.01
I need help on this
Answer:
a) 1/8
b) 8
Step-by-step explanation:
a) 1/2 x 1/2 x 1/2 = 1/8
b) since the exponent is negative it becomes positive when placed in the denominator
so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2
therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8
I’m in need of help
Answer: 196 degrees
Step-by-step explanation:
Which of the following is the graph of
y = |x – 1 – 4?
A collection of nickels and quarters in a jar is worth
$8.05. If there are a total of 45 nickels and quarters
in the jar, how many nickels are there?
Answer:
16 nickels
Step-by-step explanation:
Let "n" be the number of nickels
Let "q" be the number of quarters
We know that,
1 nickel = $ 0.05 or 5 cent
1 quarter = $ 0.25 or 25 cent
Anna has a collection of 45 nickels and quarters
Therefore,
n + q = 45
q = 45 - n --------- eqn 1
Anna has a collection of 45 nickels and quarters worth $8.05
$ 8.05 is worth 805 cents
Thus we frame a equation as:
number of nickels x 5 cents + number of quarters x 25 cents = 805
5n + 25q = 805 ----- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
5n + 25(45 - n) = 805
5n + 1125 - 25n = 805
20n = 1125 - 805
20n = 320
n = 16
Then there are 16 Nickels
Please help!!
Sorry for the bad quality
Answer:
For the table I got 18 for the 5, 36 for the ten and not sure on the last one for the table and for the last one I got approx 5 mins but I’m not too sure
Step-by-step explanation:
Answer:
A.
5 mins = $5.20
10 = $7.20
M - i can't calculate that without having more info but the equation would be (M × 0.40) + 3.20 = Total amount in dollars.
B. 42 minutes
Step-by-step explanation:
Use the equation I listed before for A.
For B. 20.00 - 3.20 = 16.80. 16.80/0.40 = 42.
you should give me brainliest if im right
Please help I will give brainliest.
Answer:
a and -b is the answer
Step-by-step explanation:
(x-a)(x+b) = 0
x-a = 0 and x+b = 0
then
x = a and x = -b
Year 7 > T.12 Find what percent one number is of another: word problems
Frank's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 30
caffeinated teas and 10 decaffeinated teas. What percentage of the teas served were
caffeinated?
Write your answer using a percent sign (%).
Submit
Answer:
8995{c-(-12)4} valva a 2 b 5 c -7
1&5<y x=(2,0)
A triangle has sides with lengths of 9 miles, 12 miles, and 15 miles. Is it a right triangle?
Answer:
The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.
Step-by-step explanation:
15² = 9² + 12²
225 = 81 + 144
225 = 225
so it is an right angled triangle....
( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)
17. Which quotient will be larger? Explain
how you can tell without dividing.
3,444 : 42
4,368 : 42
Answer:
4,368 / 42
Step-by-step explanation:
I can tell without answering the problems because if you have a larger amount to divide by, it would lead to people having a higher amount. Meanwhile having a smaller amount to divide by.
someone please help i literally have no idea how to do this
Answer:
I don't know if this is all the way right but I hope it is.
Step-by-step explanation:
Step 1.
Put the data in order to find the median.
Median = 72
Find the Lower Quartile and the Upper Quartile. These are the medians of the lower and upper halves.
Lower Quartile = 66
Upper Quartile = 79
Next put those points on your number line and mark your smallest and
greatest values, the median, and the Quartiles.
A company makes wax candles in the shape of a rectangular prism. Each Candle is 6 inches long, 4 inches wide and 7 inches tall. how much wax will they need to make 336 candles
Answer:
168
Step-by-step explanation:
LxWxH
L=6
W=4
H=7
6x4=24
24x7=168
Answer:
63,168 square inches
Step-by-step explanation:
A=2(wl+hl+hw)
A= 2{(4*6)+(7*6)+(7*4)}
A= 188
188 square inches for each candle
188 square inches times 336 candles= 63,168 square inches in total.
Hope this helped <3 Brainliest? :)
Are the triangles similar? How do you know?
Answer:
They are similar because triangle AMY has sides double the size of CED. If you divide AMY's triangle sides by 2, you will have a triangle that is the exact size of CED. :)
Have an amazing day!!
Please rate and mark brainliest!!!
Answer:
The triangles are similar
Step-by-step explanation:
To tell whether the triangles are similar or not we can compare their side lengths
if the triangle are similar then their side lengths' will be proportional:
MY/CD = AY/ED
10/5 = 8/4 cross multiply expressions
40 = 40 as we can see from this result, the side lengths are proportional so we can say these triangles are similar
please help!! i'll give a brainliest
Answer:
Answer is -1
have a nice hope it helps.
Im stuck on this problem. Please explain how you got your answer
The function [tex]y=0.3^x[/tex] represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.
Population Growth Equation
The formula for the Population Growth Equation is:
[tex]P_f=P_o*(1+\frac{R}{100}) ^t[/tex]
Pf= future population
Po=initial population
r=growth rate
t= time (years)
growth or decay factor = (1 ±r)
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives:
[tex]y=0.3^x[/tex], then
Pf=y
Po= 1
[tex](1+\frac{R}{100}) =0.3[/tex] , thus
[tex](100+R}) =30\\ \\ R=-100+30\\ \\ R=-70[/tex]
r= -70%= -0.7
decay factor= (1-0.7)=0.3
Therefore,
1+R will be = 1+(-0.7)=1 - 0.7 =0.3
When 1+R >1, the function represents exponential growth.
Read more about the exponential function here:
brainly.com/question/8935549
Find the measure of each missing side length. Round to the nearest tenth.
Answer:
x = 24.0
Step-by-step explanation:
We will need to use one of the trigonometric ratios to find x.
If we use 58 as the reference angle, we can use tan to find x, as [tex]tan=\frac{opposite}{adjacent}[/tex]
[tex]tan (58)=\frac{x}{15}\\ 15*tan(58)=x\\x=24.005\\x=24.0[/tex]
Solve for x:
A. 37
B. 19.25
C. 10.375
D. 41
(4x-6)
71
Answer:
Answer = B.19.25
Step-by-step explanation:
(4x-6)=71
4x=71+6
4x=77
x=77÷4
x=19.25
solve a simplify ( no exponent )
need the answer …
Answer:
1/3
Step-by-step explanation:
Your choice of answer must be consistent with the instructions.
The only answer with no exponent is the correct one:
1/3
__
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
3^(-4) × 3^3 = 3^(-4+3) = 3^-1
and
a^-b = 1/a^b
so
3^-1 = 1/3^1 = 1/3 . . . . written without an exponent
How do i solve this?
[tex]\text{Given that, f(x) = 2x+5}\\\\f(-1) = 2(-1)+5 = -2+5= 3\\\\f(2) = 2(2)+5 = 4+5 = 9\\\\f(0) =2(0)+5 = 0+5=5\\\\f(z) = 2z+5[/tex]
YOOOO can somebody help me with this
Answer:
Area= MULTIPLICATION
So, 13x9x4x15x10=70200
70200 Square inches.
There are two rectangles in the idiosyncratic shape. In order to find the area of the figure, we need to solve for one rectangle first.
The formula for solving the area of a rectangle is [tex]A = lw[/tex]. For the smaller rectangle on the left, we have both the length and width, so we can just multiply after plugging in the numbers into the equation; [tex]A = 13 * 4[/tex]. The 13 represents the length and the 4 represents the width. After solving, we get 52 inches squared for the first rectangle.
The larger rectangle, we already have the length and width as well, so we can just plug the numbers into the formula, [tex]A = 15 *10[/tex], as 15 represents the length and the 10 represents width. 15 × 10 = 150.
After doing this, we need to add up the two rectangles together, which we get a sum of 202. The total area of the figure is 202 inches squared.
Sage borrowed $4500 from her parents to buy a new car. So far she has repaid $2740. If sage repays her parents $110 a month, how much time will it take her to pay back the full amount of the loan?
Answer:
16 months
Step-by-step explanation:
Hey there!
This would be the correct answer because first you need to subtract the amount she paid from the amount she owes.
[tex]4500-2740[/tex]
[tex]=1760[/tex]
After that divide that answer from 110
This is because she will be paying 110 each month
[tex]1760/110[/tex]
Once you calculate that you will get 16.
find a polynomial equation of the lowest degree with rational coefficients whose one root is (cbrt 2 + 3*cbrt 4)
Answer:
poly Gon have [tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex]
4. Solve the inequality and graph the solution. Show work
3k > 5k + 12
Answer:
Your answer is k< -6
Step-by-step explanation:
walking the speed of 5km per hour, a boy hikes a distance of d km in t hours. Find the formula which describes d as a function of t.
Answer:
F(t) = 5t
Step-by-step explanation:
velocity = distance/time
distance = velocity × time
v - velocity
t - time
d - distance
v = 5
Distance as a function of time:
F(t) = 5×t
where F(t) represents distance
A boy hikes a distance of d km in t hours. The formula describes d as a function of t, F(t) = 5t.
What is the formula for velocity?velocity = distance/time
v - velocity
t - time
d - distance
v = 5
distance = velocity × time
Distance as a function of time
Therefore, F(t) = 5×t
Where F(t) represents the distance.
To learn more about the distance visit:
https://brainly.com/question/17273444
A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain of a relation R where two cars are related if they were made in the same year. (a) Prove that this relation is an equivalence relation. (b) Describe the partition defined by the equivalence classes.
The given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.
How is the equivalence relation depicted?Let the domain of the relation is car(x) belongs to 2015 , 2016, 2017, 2018, 2019, 2020
To prove equivalence relation, we need to prove reflexive, symmetric, transitive properties.
Reflexive relation: x is related to x
Here car(x) is made in 2015, so, car(x)) is in R where R is reflexive relation.
Symmetric relation: x is related to y implies y is related to x
Here (car(x) , car(y)) is in R , i.e car(x) and car(y) are made in same year. R obeys symmetric property
Transitive property: x is related to y and y is related to z then x is related to z. Here (car(x),car(y)), (car(y), car(z)) is in R. Therefore (car(x) , car(z)) is in R
Therefore, the given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.
B. The cars which are made in the same year are in one equivalence class all cars are made in overall 6 years. We get 6 equivalence classes. These classes are partitions, so we have six partitions
Learn more about relations on:
https://brainly.com/question/1579288
solve for the exact values of x and y above
Answer:
x = 14.14 and y = 10
Step-by-step explanation:
Using trigonometric ratios;
10/x = cos 45
x = 10/(cos 45)
x = 14.14
y/10 = tan 45
y = 10 * tan 45
y = 10
The yearbook club had a meeting. The meeting had 8 people, which is one-fourth of the club. How many people are in the club?
Answer:
32
Step-by-step explanation:
Since we know 8 = 1/4
We can convert the 1/4 into a percentage:
8 = 25%
To get to 100% which is the full club we have to multiply both sides by 4:
8×4 = 25% ×4
32 = 100%
So there are 32 people in the club.
Find (fog)(x) given f(x) = 2x2-x+1 and g(x) = 4x +3
Answer:
fg(x) = 32x²+44x+16
Step-by-step explanation:
fg(x) = f[g(x)]
= f(4x+3)
= 2(4x+3)²-(4x+3)+1
= 2(4x+3)²-(4x+3)+1
= 2(16x²+24x+9)-4x-3+1
= 32x²+44x+16
An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. what is the volume of the oblique cone? round to the nearest tenth. 142.4 cubic units 142.4 square units 196.0 cubic units 196.0 square units
The volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches
Volume of a coneThe formula for calculating the volume of an oblique cone is expressed as:
V = (1/3) * π * r² * h.
where
r is the radius
h is the height
Given the following parameters
r = 4 units
h = 8.5 units
Substitute
V = (1/3) * 3.14 * 4² * 8.5.
V = 142.4 cubic inches
Hence the volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches
Learn more on volume of cone here: https://brainly.com/question/1082469
Answer: 142.4
Step-by-step explanation: