Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
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 90% confidence interval, with 225 - 1 = 224 df, is t = 1.6517.
The other parameters are given as follows:
[tex]\overline{x} = 48.5, s = 1.8, n = 225[/tex].
Hence the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 48.5 - 1.6517\frac{1.8}{\sqrt{225}} = 48.3[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 48.5 + 1.6517\frac{1.8}{\sqrt{225}} = 48.7[/tex]
The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
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Find the number that belongs
in the green box.
4
? 1°
29°
10
Round your answer to the nearest tenth.
Answer:
16.6°
Step-by-step explanation:
The triangle can be solved using the Law of Cosines to find the side opposite the given angle, then the Law of Sines to find the missing angle from the given sides.
__
We choose to use a=10, b=4, C=29°.
c² = a² +b² -2ab·cos(C) . . . . . law of cosines
c² = 10² +4² -2·10·4·cos(29°) ≈ 46.0304
c ≈ √46.0304 ≈ 6.78457
Then angle B (opposite side b) is ...
sin(B)/b = sin(C)/c . . . . . . . . . law of sines
sin(B)/4 = sin(29°)/6.78457
B = arcsin(4/6.78457×sin(29°)) ≈ 16.6085°
The missing acute angle is about 16.6°.
can somebody help me?
Answer:
1/6
Step-by-step explanation:
Firstly the coin will have a probability of getting 1/2 for tails and also 1/2 for heads since it is fair.
A cube has 6 sides hence will have numbers 1-6 on each side. Numbers greater than 4 on a cube will be 5,6 and both of them have a 1/6 chance of getting drawn therefore in total it is a 2/6 chance.
Probability of getting tails is 1/2 and probability of getting number greater than 4 is 2/6.
Hence the total probability will be 1/2 x 2/6 = 1/6
2x+y=26
x-y=4
Descubra o valor de x e y e explique o processo.
The correct roots of this equation is:
x = 10
y = 6
– This equation is a value substitution system. To solve it, we will: add the terms equal to x, with the sums of the equality.
2x + y = 26
x - y = 4
2x + x = 26 + 4
3x = 30
x = 30/3
x = 10
– Now, let's "take" the first equation of the system, and we'll calculate it, replacing x with its value.
2x + y = 26
2 . 10 + y = 26
20 + y = 26
y = 26 - 20
y = 6
Therefore, the roots of this equation or system is:
x = 10
y = 6
Help me please!!!!!!!!!!!!!!!
Answer:
y= -x to the power of 2
so the answer is the first one!
Hope this helps!!
Write this percentage as a fraction in its simplest form. 41 %
Answer:
41/100.
Step-by-step explanation:
Per cent (%) means 'per hundred'.
as a fraction: 41/100.
As a decimal it is 0.41.
PLEASE HELP its A Math Problem ! Is the following equation linear, quadratic, exponential or none of these? f(x)=3^x+2
None of these
Linear
Exponential
Quadratic
Answer:
Exponential
Step-by-step explanation:
As the equation involves raising a term to variable power, this equation can be considered exponentialLinear
Ex : x + 2, x + 3, 3x + 4Quadratic
Ex : (x + 4)², 5x² + 7x + 3, 3x² + 2Answer:
(c) Exponential
Step-by-step explanation:
The independent variable in the equation is in the exponent, so this is an exponential equation.
__
Additional comment
Linear and quadratic equations are specific cases of polynomial equations, which involve sums of powers of the variables. The highest power involved is the degree of the equation: 1 for linear, 2 for quadratic.
f(x) = x +2 . . . . has x to degree 1, so is a linear equation
f(x) = 3x^2 -5 . . . . has x to degree 2, so is a quadratic equation
f(x) = √(x -6) . . . . is "none of these"
(This is another vocabulary question. Linear, quadratic, exponential, degree, term, polynomial, ... are all words with specific definitions related to algebraic functions.)
Please answer these
Answer:
qa no.4 do cross muntiply
my watch gains 10 seconds every hour if it is set right on Monday at 10:30 a.m. what will it show them following Monday at 10:30 a.m.
Answer: 10:58 a.m.
Step-by-step explanation:
To solve this problem, find how many hours will pass in the given timeframe. From this Monday to next Monday, a week will pass. A week is equal to 7 days. A day has 24 hours, so multiply 7 days by 24 hours. 7*24 = 168 hours.
Since the watch gains 10 seconds every hour, multiply 168 hours by 10 seconds. This means your watch will gain 1680 seconds over the week.
To find what time the watch will be at, first find how many minutes will pass. There are 60 seconds in a minute, so divide 1680 seconds by 60 seconds. 1680/60 = 28.
Add 28 minutes to 10:30 a.m. to get a final time of 10:58 a.m.
Find the mean absolute deviation for the data set. {3, 5, 6, 3, 2, 2, 1, 0, 0, 4, 7, 4, 5, 5, 6}
Answer:
0.50
Step-by-step explanation:
The mean = 3 + 5 + 6+ 3 +2+ 2+ 1+0+ 0+ 4+ 7+ 4+ 5 + 5 + 6) / 15
= 53/15
= 3.533
Difference of values from the mean:
n n - 3.533 (Absolute value)
3 0.533
3 0.533
6 2.467
3 0.533
2 1.533
2 1.533
1 2.533
0 3.533
0 3.533
4 0.467
4 0.467
5 1.467
5 1.467
6 2.567
7 3.467
Totals:
53 26.533
So the M.A.D. = 26.533 / 53 = 0.50
Does anybody know the measure of JLM?
Measure of ∠JLM = m∠60°
How is the graph of y=(x-1)2-3 transformed to produce the graph of y=3(x+4)2?
1
O The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3
O The graph is stretched vertically by a factor of 2, translated left 5 units, and translated up 3 un
O The graph is translated left 5 units, compressed horizontally by a factor of 2, and translated d
O The graph is stretched horizontally by a factor of 2, translated left 5 units, and translated dow
a
Answer:
Option 2
Step-by-step explanation:
Let the original graph be f(x) and new graph g(x).
f(x) = (x - 1)² - 3g(x) = 2(x + 4)²The transformations are :
The graph is translated left 5 units.The graph is translated up 3 units.The graph is stretched vertically by a factor of 2.CAN SOMEONE PLEASE ANSWER THIS QUICK I HAVE 5 MINS PLS
Answer:
$20
Step-by-step explanation:
49 is the outlier
The invers of 10/4 is
Answer:
4/10
Step-by-step explanation:
Rewrite 0.10 as a power of 10
Rewrite 0.07 as a product of a power of 10
[tex]0.10 = 10^{-1}\\\\0.07 = 7 \times 10^{-2}[/tex]
The lines shown below are parallel. If the green line has a slope of -4, what is
the slope of the red line?
Someone help me with this
Answer:
C is 17.
Use Pythagorean theorem to find c (hypotenuse)
[We can use this theorem because it is a right triangle]
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
c^2 = 289
c = sqrt(289) = 17
Answer: c = 17 cm
Step-by-step explanation:
Since this is a right triangle, we will use the Pythagorean theorem to solve. The a and b variables are legs, the c variable is the hypotenuse. Here, we are solving for the hypotenuse.
a² + b² = c²
8² + 15² = c²
64 + 225 = c²
64 + 225 = c²
289 = c²
c = [tex]\sqrt{289}[/tex]
c = 17
Side c has a length of 17 cm.
f(x) = 2x + 3
g(x) = 3x + 2
What does (f+g) (x)equal?
To obtain credit, provide your answer with no spaces. Example answer: 42x+9
Answer:
The product of the functions f(x) = x2 and g(x) = x - 8 is f(x).
I WILL GIVE BRAINRLY
Answer:
a
Step-by-step explanation:
f(x)-g(x)=2x square-3x+6-(3x square +4x-8)
2x square-3x+6-3x square-4x+8
-x square-7x+14
the perimeter of a room is 98 feet. If the room is a rectangle with a width of 22 feet, what is the length of the room in yards?
Answer:
98 = 2x + 2(22)
Step-by-step explanation:
Let x be the length of the room. Using P = 21 + 2w or the formula for the perimeter of a rectangle, with the perimeter equal to 98 and the width equal to 22, then
98 = 2x + 2(22)
Which expression has the greatest value?
(options are included in the image)
Answer:
(b) 16^(3/2)
Step-by-step explanation:
Your calculator is a good source of information about the values of numerical expressions.
__
Here, all of the expressions have a value of 16 except 16^(3/2). That has the greatest value.
_____
Additional comment
Assuming you're familiar with powers of 2 and the rules of exponents, you can evaluate these without a calculator:
∛(64²) = ∛(2^6)² = (2^12)^(1/3) = 2^4
16^(3/2) = (2^4)^(3/2) = 2^6 . . . . . has the greatest value
√(16²) = ((2^4)^2)^(1/2) = 2^(4·2/2) = 2^4
∛(8^4) = ((2^3)^4)^(1/3) = 2^(3·4/3) = 2^4
__
8= 2^3; 16 = 2^4; 64 = 2^6
(a^b)^c = a^(bc)
A root is equivalent to a fractional power. The cube root is the 1/3 power, for example.
Talia gave her hairdresser a 20 percent tip, which amounted to $7.
Percents
Total
100%
What was the price of the service before the tip?
The price of the service before the tip will be equal to $35.
What is the percentage?
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Talia gave her hairdresser a 20 per cent tip, which amounted to $7The total price of the service will be calculated as:-
20% = $7
10% = 7/2
100% = 10 x 7/2
100% = $35
Therefore the price of the service before the tip will be equal to $35.
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PLEASE PLEASE HELP ME OUT
26.4
Answer:
S8nce N is inthe center NL is one half of KM
A pair of boots was originally $180, but today is being sold for $135. What is the percent of decrease in the price?
Answer:
I guess 25%..
Step-by-step explanation:
Solution,
Original price = $180Reel price = $ 135Here,
Amount of decrease= $180 - $135
= $45
Now,
Percent of decreasement = $45/$180 × 100%
= 25%
another help pleaseeeee!! ><
Answer:
8. 3/10
9. 1/7
10. a
Step-by-step explanation:
10. Factor
Please help me I will mark as brainliest
Answer:
(3w + 7)² or (3w + 7)(3w + 7)
Step-by-step explanation:
Identity
a² + 2ab + b² = (a + b)² = (a + b)(a + b)Solving
9w² + 42w + 49(3w)² + 2(3w)(7) + (7)²(3w + 7)² or (3w + 7)(3w + 7)At the beginning of the school year, Tyrone bought 12 notebooks for a total price of 19.56.Jaime went to the same store and bought 5 notebooks. How much did jaime spend
3) You are interested in understanding how often Tacoma residents visit the downtown area.
Tacoma has many residents, but you only survey 248 of the residents.
You asked this sample of 248 people how many times they have visited downtown in the past year.
The mean number of times in the past year that they visited downtown was 5.40, with a standard
deviation of 16.
Based on this information, construct and interval with 95% chance that it contains the true
population mean. (Construct a 95% confidence interval).
Please help me answer these 2 questions with a FULL explanation so I know how to do the rest myself. Giving brainliest.
Answer to 1:
[tex]\frac{x^3}{2y^25}[/tex]
First thing you want to do is combine like terms on the bottom. Since it's multiplication, all you have to do is add the exponents. So for x you'd get x raised to the -9 power and for y you'd get 2y raised to the power of 7
Second thing is the numerator of the fraction. Since this is raising what is inside the paranthesis to a power, you must multiply this power by the powers of x and y, respectively. You should get x raised to the power of -6 and y raised to the power of -18
Here's where it gets complicated. to rationalize the problem, you must add parts from the numerator and denominator or vice versa. You cannot have any negative exponents anywhere in the fraction. So that means for x you have to add 9 to the x on the top to cancel out the -6 and rationalize the remaining x's. You should end up with x^3.
For y, you work the opposite way. Since the negatives are only on the top, you simply add 18 to the bottom y's and it remains rationalized.
If done correctly this should come out to x^3/2y^25
Answer to 2:
(x^20y^12)/256
First thing you can do on this one is to cancel out the x^0s. Anything to the power of 0 equals one so only the coefficients will remain. Multiply those together and you'll get 4.
Next you will rationalize the ys. Add the bottom 3 to the top to cancel out the denominator and you're left with y^-3. Leave it like this for now.
Now is the difficult part. You must take everything that is inside the parenthesis to the power of -4. That includes the coefficients and the exponents. 4^-4 = 1/256. This means that you now must move the coefficients to the bottom. You should currently have y^-3/(256x^5).
Now take the exponents to the power using the same rules as question 1. -3*-4 = 12 and 5*-4 = -20. You should now have y^12/(256x^-20)
Lastly, we must rationalize the denominator. To do so, move the x^-20 to the numerator and make the exponent positive. After doing this, you have the answer: (x^20y^12)/256
Q1 write in words following the international and pakistani number system
A) 312695
B) 5469724
C) 4003240
Answer:
Step-by-step explanation:
a) International: Three hundred twelve thousand six hundred ninety five
Pakistani: Three lakh twelve thousand six hundred ninety five
b) International: Five Million four hundred sixty nine seven hundred twenty four
Pakistani: Fifty Four crore sixty nine thousand seven hundred twenty four
c) International: Four Million three thousand two hundred forty
Pakistani: Fourty Lakh three thousand two hundred forty
Hope it Helps! Mark its as brainiest
Y intercept due today
Answer:
y intercept = 3
Step-by-step explanation:
y = 1/3x + 3
y = mx + b
where b represents the y intercept
y intercept = 3