Answer:
The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
Step-by-step explanation:
Given the data in the question;
Adult with No children under 18 Adult with children under 18
x"₁ = 5.65 x"₂ = 4.37
s₁ = 2.43 s₂ = 1.73
n₁ = 40 n₂ = 40
with 90% confidence
significance level ∝ = 1 - 90% = 1 - 0.9 = 0.1
Degree of freedom df = 39
Now, since variance are not equal and are also unknown, we will use 2 sample t-distribution method;
Standard Error: σx"₁ - x"₂ = [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]
Critical value = [tex]t_{\alpha /2, df[/tex] = [tex]t_{0.05, df=39[/tex] = 1.645 { from standard normal table }
Now,
Margin of Error = E = [tex]t_{\alpha /2, df[/tex] × [tex]\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]
we substitute
E = 1.645 × [tex]\sqrt{\frac{2.43^2}{40} + \frac{1.73^2}{40} }[/tex]
E = 1.645 × √( 0.1476225 + 0.0748225 )
E = 0.7758478
Now, our point difference will be; x"₁ - x"₂ = 5.65 - 4.37 = 1.28
So Limit at 90% confidence interval will be;
x"₁ - x"₂ ± E
Lower Limit = x"₁ - x"₂ - E = 1.28 - 0.7758478 = 0.50415 ≈ 0.50
Upper Limit = x"₁ - x"₂ + E = 1.28 + 0.7758478 = 2.05584 ≈ 2.06
Therefore, The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
ogether Brianna and Hushley saved $336 for their trip to France. Hushley saved $120 more than Brianna. How much money did Brianna save?
Answer:
Brianna saved $108
Step-by-step explanation:
First take away 120 from the total, you will be left with 216
Then divide the final amount in two 216/2 will be 108
A manufacturing machine has a 3% defect rate.
If 7 items are chosen at random, what is the probability that at least one will have a defect?
Answer:
6.79%
Step-by-step explanation:
1.00 - 3=0.97
7 * 0.97 = 6.79
5. If a perp b and b//c. then
The answer to the above question is B. Multiply the first equation by -2 and add the second equation.
What is equation?A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra. Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."
Given,
[tex]2x - 2y = 24\\4x + 7y=-40\-4x +4y = -96\\4x+7y = -40\\11y = -136\\y = -136/11[/tex]
The answer to the above question is B. Multiply the first equation by -2 and add the second equation.
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Solve for x. 3X - 4 3X - 8
Answer:
x = 2
As x = 12/6 = 2
Step-by-step explanation:
3x-4+3x-8
3x+3x-4-8
= 6x-12
FACTORISING for check and set to zero
6(x-2)
6x -12 = 0
Cancel out left by adding 12 to both sides then applying /6 to both sides to cancel 6 left side.
6x--12 + 12 = 0 + 12
6x / 6 = 12 / 6
x = 12/6
x = 2
or balance as grouping by separation = multiply at end by -1
3x+3x = --4 - 8
6x = - 12
x = - 12/6
x = - 2
x = - 2 ( -1 )
x = 2
A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She travels down 4.2 feet.
She then travels directly up 3.4 feet.
Next, she descends a second time, 10 feet.
Answer:
Below
Step-by-step explanation:
0 ft -4.2 + 3.4 - 10 = -10.8 ft or 10.8 ft below the surface
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Click and place the simplified expression after its original expression.
y log c - 8 log r
Condense the logarithm.
Answer:
log[(c^y)/(r^8)] this is m your answer
Choose the solution set represented by the following graph
3 1/7 x [3 1/3 x (2/3+1/6) -1 5/18] ÷2 3/7 =?
Step-by-step explanation:
3 1/7 × [3 1/3 × (2/3 + 1/6) - 1 5/18] ÷ 2 3/7
well, first we have to bring everything to true fractions.
then we need to bring all fractions we need to add or subtract to the same denominators.
and then we simply calculate.
3 1/7 = (3×7 + 1)/7 = 22/7
3 1/3 = (3×3 + 1)/3 = 10/3
1 5/18 = (1×18 + 5)/18 = 23/18
2 3/7 = (2×7 + 3)/7 = 17/7
22/7 × [10/3 × (2/3 + 1/6) - 23/18] ÷ 17/7
to be able to add 2/3 and 1/6 we need to bring the to the same denominator, with its simply 6.
2/3 + 1/6 = 2/2 × 2/3 + 1/6 = 4/6 + 1/6 = 5/6
22/7 × [10/3 × 5/6 - 23/18] ÷ 17/7
22/7 × [50/18 - 23/18] ÷ 17/7
22/7 × 27/18 ÷ 17/7
22/7 × 27/18 × 7/17
22/17 × 27/18 = 22/17 × 3/2 = 66/34 = 33/17
so, the result is 33/17 = 1 16/17
Use the distributive property to simplify this expression for a parentheses 4(12 + 5)
Answer:
68
Step-by-step explanation:
Find the perimeter of the shape
Answer:
54ft
Step-by-step explanation:
15- 8 = 7ft
12-5 = 7ft
7+7+12+15+5+8 = 54 ft
Answer:
15+12+8+7+7+5=54
Step-by-step explanation:
54
why 54?
there are two missing distances
so we see the two heights
12-5=7
and now the two lengths
15-8=7
now we got the missing lengths, and we add them
15+12+8+7+7+5=54
54 is the answer
can y'all help this math question
Step-by-step explanation:
SA= 2(5×11)+(5×12)+(11×12)
SA= 2(55+60+132)
SA= 2(247)
SA= 494cm^2
URGENT LOL PLS HELP
Answer:
[tex] {3x}^{2} + 24x - 6[/tex]
Step-by-step explanation:
To find the area of a rectangle you have to multiply the length by the width.
In your problem, the length and width are both equations, so you just have to multiply each part of the equation separately.
For example, if you were to put both equations with one over the other, you just have to multiply the aligned numbers.
The length is: x2 + 6x + 3
The width is: 3x2 + 4x - 2
and if you multiply the aligned numbers together, you get
3x2 + 24x - 6. Because:
x2 × 3x2 = 3x2,
6x × 4x = 24x,
and 3 × -2 = -6
Answer:
Blah
Step-by-step explanation:
XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip
On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here
principal, p = 2200
rate, r = 2%
time, t = 4 rs,
so SI = P X R X T/100
SI -
[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]
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Help me pls !!
Aarón made a picture frame with the dimensions shown in the figure. What is the area of the picture frame?
Answer:
72 cm²
Step-by-step explanation:
a = large rectangle - small rectangle
a = (12 * 10) - (8 * 6)
a = 120 - 48
a = 72 cm²
Lacey runs a stable that boards a range of horses.
brown 8
black 9
gray 3
Considering this data, how many of the next 15 horses that come to board should you expect to be brown horses?
Answer:
Step-by-step explanation:
8 out of 20 horses are brown
so
8/20
so
2/5
so
2/5 * 15 = 6
so
6 horses should be brown out of 15
50 POINTS! PLEASE HELP TT
A bag contains 1 red marble, 2 blue marbles, 3 yellow marbles, and 4 black marbles. A marble is randomly chosen from the bag, returned, and then another marble is chosen. What is the probablility that both marbles are blue?
Answer:
The probability that both marbles are blue is 1/25------------------------------------
Number of marbles:
Red = 1, blue = 2, yellow = 3, black = 4Total number:
1 + 2 + 3 + 4 = 10Probability of getting a blue marble:
P(blue) = number of blue / total numberP(blue) = 2/10 = 1/5Since the second marble is selected with replacement, the probability of the second blue marble is same, so the probability of two blue marbles is:
P(blue, blue) = 1/5*1/5 = 1/25[tex] \sf \: Probability _{(Blue)}=2/10×2/10 \\ \\ \sf Probability _{(Blue)}= \frac{1}{25} [/tex]
PLEASE HELP find mQT and m
Answer:
[tex].x1 - 4 { {0.36 + + \times 4xx { {052. < < }^{?} }^{2} }^{?} } \gamma eee} [/tex]
What is 20% of 80 plus 15% of 30?
20% of 80 is 16 and 15% of 30 is 4.5, so the sum is 16 + 4.5 = 20.5.
plz help mee with thisss
Answer:
495
Step-by-step explanation:
60x10=600
600-105=495
If enrollment in a class went from 30 people last term to 25 people this term, what is the percent decrease? Round to the nearest percent.
====================================================
Explanation:
The change in value is 30-25 = 5, so the amount has dropped by 5
Divide this change over the original amount to get 5/30 = 0.1667 approximately. This converts to 16.67% roughly, and that rounds to 17%
----------------
Here's a way to do it using a formula
A = old value = 30
B = new value = 25
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (25-30)/30 ] * 100%
C = -0.1667 * 100%
C = -16.67%
C = -17%
The negative percent change means we have a percent decrease. The class size went down by about 17%.
Find the surface area of the cylinder. Round your answer to the nearest tenth.
Height = 12
Radius = 3
Answer:
282.74
Step-by-step explanation:
please help quick
Could you please not put a link
Answer: 40°
Step-by-step explanation:
Angle FGH has the same measure as angle EHG. We know this because of the two little red lines on both the angles. Similarly, angles GEH and GFH would have the same measure because they both have one red line. The number of lines will indicate which two measures are equal.
Consider two people where one person is 20% taller than the other but proportioned in exactly the same way. (That is, the taller person looks like a larger version of the shorter person.) Suppose the shorter person has a 31-inch waist. What size is the taller person's waist?
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10
1
Therefore ,We can infer the following from the rule for when a relation represents a domain and range : 16) Is not a function. 18) Is not a function, while 17) Is one.
What is a domain?The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these numbers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully used to produce a single value of y by using the value of x.
Here,
we have that for this issue:
It is not a function in item 16 since input 5 is translated to outputs 2 and 4.
Item 17 is a function since each input is assigned to a single output.
It is not a function in item 18 since input -2 is mapped to outputs 13 and 15.
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Write an equivalent expression in standard form by
expanding, collecting, combining.
-5g+(68-4) g= -2.
Please help me faster if know what the answer please please?!???
Answer:
23
Step-by-step explanation:
First of all we find the total number of students:
4+6+2+2+3+4+6+3=30
Then we find the amount of freshmen’s
4+3=7
Now we find the Fraction which represents the freshmen to all ratio:
[tex]\frac{7}{30}[/tex]
which is equal to:
0.2333...
Which can be converted into a percentage by multiplying it by 100
0.2333...×100=23.333...
Which is rounded down as the third digit, the 3, gets rounded down
so the answer is 23
A 3-gallon container of disinfectant costs $36.24. What is the price per quart?
Answer:
10.74666666666667 per quart
Step-by-step explanation3 divided 36.24
true or false!!!!!!! Good luck!
ceva's theorem can alway be used to determine wether or not medians of a triangle are concurrent.
ceva's theorem can always be used to determine whether or not altitudes of a triangle are concurrent.
in lobachevskian geometry, the sum of the angles of a triangle is less than 180 degrees
in riemannian geometry, the sum of the angles of a triangle is less than 180 degrees
in lobachevskian geometry, the summit angles of a saccheri quadrilateral are obtuse
in riemannian geometry, the summit angles of a saccheri quadrilateral are obtuse
in euclidian geometry, the summit angles of a saccheri quadrilateral are obtuse
in a circle, if an inscribed angle and a central angle intercept the same arc, which symbol (<,>,=) correctly completes this mathematical sentence?
3. True
4. False
5. False
6. True
7. False
I dont know numbers 1, 2, or 8.
The statement 4,5 and 7 are false and the statements 3 and 6.
We have given that,
Ceva's theorem can always be used to determine whether or not medians of a triangle are concurrent.
Ceva's theorem can always be used to determine whether or not the altitudes of a triangle are concurrent.
In Lobachevskian geometry, the sum of the angles of a triangle is less than 180 degrees
In Riemannian geometry, the sum of the angles of a triangle is less than 180 degrees.
In Lobachevskian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In Riemannian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In euclidian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In a circle, if an inscribed angle and a central angle intercept the same arc,
We have to determine the statement true or false.
What is Riemannian geometry?A Riemannian manifold or Riemannian space, so-called after the German mathematician Bernhard Riemann, is a real, smooth manifold M equipped with a positive-definite inner product gI on the tangent space TIM at each point p.
Therefore, The statement 4,5, and 7 are false, and the statements 3 and 6.
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2y + _ x + 8y + 24x is equal too 2(5y+14x). What Is the missing coefficient? (in 2y + _ x + 8y + 24x)
Hey, Um not sure what the answer is positively but I think its 2. MIGHT NOT BE RIGHT *BEWARE*
Answer:
4Step-by-step explanation:
2y + kx + 8y + 24x = 2(5y + 14x)10y + (24 + k)x = 10y + 28x24 + k = 28k = 4The missing coefficient is 4