Answer
*2
Step-by-step explanation:
A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his sample mean is 177.5 cm and the sample standard deviation is 2. The sample size is 25. Which statement is correct?
a) The result of the survey is statistically significant.
b) The sample mean and population mean is the same.
c) The result of the survey is biased.
d) The difference exists due to chance since the test statistic is small
Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:
[tex]H_o: \mu = 178[/tex]
Alternative hypothesis:
[tex]H_1: \mu \neq 178[/tex]
The t-test statistics is determined by using the formula:
[tex]t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}[/tex]
[tex]t = \dfrac{-0.5}{\dfrac{2}{5}}}[/tex]
[tex]\mathbf{t= -1.25}[/tex]
Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
Answer:
d. The difference exists due to chance since the test statistic is small
Step-by-step explanation:
With a very small sample size of 25, a difference of 0.5 cm is most likely due to chance.
[tex]\frac{(2xy^2)^5}{(4x^2y)^2 (xy^2)}[/tex]
Please solve this and also mention the steps
Answer:
2 y^6
Step-by-step explanation:
Simplify the following:
(2 x y^2)^5/((4 x^2 y)^2 x y^2)
Hint: | Distribute exponents over products in (4 x^2 y)^2.
Multiply each exponent in 4 x^2 y by 2:
(2 x y^2)^5/(4^2 x^(2×2) y^2 x y^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
(2 x y^2)^5/(4^2 x^4 y^2 x y^2)
Hint: | Evaluate 4^2.
4^2 = 16:
(2 x y^2)^5/(16 x^4 y^2 x y^2)
Hint: | Distribute exponents over products in (2 x y^2)^5.
Multiply each exponent in 2 x y^2 by 5:
(2^5 x^5 y^(5×2))/(16 x^4 y^2 x y^2)
Hint: | Multiply 5 and 2 together.
5×2 = 10:
(2^5 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | Compute 2^5 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.
2^5 = 2×2^4 = 2 (2^2)^2:
(2 (2^2)^2 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | Evaluate 2^2.
2^2 = 4:
(2×4^2 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | Evaluate 4^2.
4^2 = 16:
(2×16 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | Multiply 2 and 16 together.
2×16 = 32:
(32 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | In (32 x^5 y^10)/(16 x^4 y^2 x y^2), divide 32 in the numerator by 16 in the denominator.
32/16 = (16×2)/16 = 2:
(2 x^5 y^10)/(x^4 y^2 x y^2)
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (2 x^5 y^10)/(x^4 y^2 x y^2).
Combine powers. (2 x^5 y^10)/(x^4 y^2 x y^2) = 2 x^(5 - 1 - 4) y^(10 - 2 - 2):
2 x^(5 - 1 - 4) y^(10 - 2 - 2)
Hint: | Evaluate 5 - 1 - 4.
5 - 1 - 4 = 0:
2 x^0 y^(10 - 2 - 2)
Hint: | Evaluate 10 - 2 - 2.
10 - 2 - 2 = 6:
2 x^0 y^6
Hint: | Any nonzero expression to the zero power is one.
x^0 = 1:
2×1 y^6
Hint: | Simplify the expression.
Write 2×1 y^6 as 2 y^6:
Answer: 2 y^6
What are prime numbers ? And a list of examples ?
Answer:
the number which is divisible only by itself and 1 is called prime number. For example; 2,3, 5, 7, 11 and others.
consider the diagram. lines ac and rs are
Answer:
Skew.
Step-by-step explanation:
Answer:
D- skew
Step-by-step explanation:
Just took the test today and got it right :)
James had 42 dollars. He bought his sister a gift that costs x dollars. How much money does james have now, in terms of x
Answer:
42-x = James' money now
Step-by-step explanation:
James has "42-x dollars" after purchasing a gift for his sister.
Expression for money left to James to be determine if he spend x dollars from $42.
Arithmetic is branch of math that teach how a word statement can be transform to mathematical expression.
Here, James spend x dollars to bought his sister a gift from $42.
Now, James has only 42-x dollars left in his pocket.
Thus, James has '42-x' dollars after purchasing a gift for his sister.
Learn more about arithmetic here:
https://brainly.com/question/24873057
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Which operation should you perform last in the expression 3^2 + 2?
Answer:
8
Step-by-step explanation:
Please help, "What if you magnified the image of a cluster fly (9 millimeters) by 9*10 exponent 3? What would the length appear to be?" Please hElP
Answer:
9000
Step-by-step explanation:
This is written in scientific notation. When you have a positive exponent (x³), You move the decimal point to the right as many times as the exponent says. Since the exponent is +3, move the decimal to the right 3 spaces:
[tex]9.0(0)\\\\90.0(1)\\\\900.0(2)\\\\9000.0(3)[/tex]
So:
[tex]9*10^3=9000[/tex]
:Done
*Magnifying means that the image will be bigger. So, the new number has to be greater than 9. Since 9000>9, this is true.
(01.02 MC)Which statement best explains the value of 18 − (−5)? The additive inverse of −5 is +5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 13. The additive inverse of −5 is +5, so 18 − (−5) = 13.
Hey there! I'm happy to help!
The additive inverse of a number is one that has its sign switched. If you put a - before a number, the sign switches. We put a - before -5, so its sign switches. -5's additive inverse is 5, so this 18+5, giving us 23.
The additive inverse of -5 is +5, so 18 - (-5)=23.
Have a wonderful day! :D
2a + 4c = 38.00 solve for c
Answer:
c = 19/2 - 1/2a
Step-by-step explanation:
Step 1: Write equation
2a + 4c = 38.00
Step 2: Solve for c
Subtract 2a on both sides: 4c = 38 - 2a
Divide both sides by 4: c = 19/2 - 1/2a
Step-by-step explanation:
2 (a+2c)=38
a+2c=19
c=(19-a)/2
9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 1), and KJ = 28, find L.
Answer:LJ = 18 + 28 = 46
Step-by-step explanation:
Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
This applet illustrates 95% confidence intervals for samples from a normal distribution with known variance. (a) When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean. True False (b) Which statement is the correct interpretation of the confidence interval in this illustration?
Answer:
Step-by-step explanation:
When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean. True or false?
This statement is false, or better still, ambiguous. 100 samples of size 30 (or greater) each, means 300 total and it can't be just 95 of them that will contain the true population mean.
Identify the segment bisector of AB¯¯¯¯¯¯¯¯. Then find AB.
Answer:
is there more to the question? this does not make seince
Step-by-step explanation:
Find the missing angle
measures marked with
question marks.
Answer:
First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.
The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.
Step-by-step explanation:
Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.
Hope this helped im not sure if its right though.
Write three DIFFERENT properties that are equivalent to 3 4
Answer:
6/8
9/12
12/16
Step-by-step explanation:
Use the Rational Zero Theorem to list all possible rational zeros for the given function.
f(x) = 9x^4 - x^3 + 4x^2 - 5x - 6.
Which of the following is the complete list of possible zeros of the given function?
a. ±1, ±3, ±2, ±1/3, ±2/3
b. ±1, ±3, ±2/3, ±1/9, ±2/9
c. ±1, ±3, ±2, ±6, ±1/3, ±2/3, ±1/9, ±2/9
d. The function has no rational zeros.
if x-2 is a factor of x^2n+1
Answer:
No the factor of x^2 + 1 = n x^2 + 1
Step-by-step explanation:
1. The interior angles of a triangle have measures of 55°, 25°, and x
What is x?
If C is the part of the circle (x/5)^2 + (y/5)^2 = 1 in the first quadrant, find the following line integral with respect to arc length. integral_c (8x - 3y)ds = _______.
Convert to polar coordinates, in which the circle's equation becomes
[tex]\left(\dfrac x5\right)^2+\left(\dfrac y5\right)^2=1\implies x^2+y^2=5^2\implies r^2=5^2\implies r=5[/tex]
where [tex]x=5\cos\theta[/tex] and [tex]y=5\sin\theta[/tex], and we get the part of the circle in the first quadrant with [tex]0\le \theta\le\frac\pi2[/tex].
So the integral is
[tex]\displaystyle\int_C(8x-3y)\,\mathrm ds=\int_0^{\frac\pi2}(8x(\theta)-3y(\theta))\sqrt{\left(\dfrac{\mathrm dx}{\mathrm d\theta}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm d\theta}\right)^2}\,\mathrm d\theta[/tex]
[tex]=\displaystyle\int_0^{\frac\pi2}(40\cos\theta-15\sin\theta)\sqrt{25\cos^2\theta+25\sin^2\theta}\,\mathrm d\theta[/tex]
[tex]=\displaystyle25\int_0^{\frac\pi2}(8\cos\theta-3\sin\theta)\,\mathrm d\theta[/tex]
[tex]=25(8\sin\theta+3\cos\theta)\bigg|_0^{\frac\pi2}=200-75=\boxed{125}[/tex]
Line integral involves integrating a function along a curve
The value of the line integral is 125
The equation is given as:
[tex]\mathbf{(\frac{x}{5})^2 + (\frac{y}{5})^2 = 1}[/tex]
Expand
[tex]\mathbf{\frac{x^2}{5^2} + \frac{y^2}{5^2} = 1}[/tex]
Multiply through by 5^2
[tex]\mathbf{x^2 + y^2 = 5^2}[/tex]
The equation of a circle is represented as:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
So, by comparison
[tex]\mathbf{r^2 = 5^2}[/tex]
[tex]\mathbf{r = 5}[/tex]
Where:
[tex]\mathbf{x = rcos\theta}[/tex]
[tex]\mathbf{y = rsin\theta}[/tex]
So, we have:
[tex]\mathbf{\int_c (8x - 3y)ds}[/tex]
Because it is in the first quadrant (i.e. 0 to pi/2), the integrand becomes
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)rd\theta}[/tex]
Convert to polar forms
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)\sqrt{x^2 + y^2}d\theta}[/tex]
Substitute [tex]\mathbf{x = rcos\theta}[/tex] and [tex]\mathbf{y = rsin\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (8rcos(\theta) - 3rsin(\theta))\sqrt{(rcos(\theta))^2 + ( rsin(\theta))^2}d\theta}[/tex]
Substitute 5 for r
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (40cos(\theta) - 15sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]
Factor out 5
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))5\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 25(8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]
In trigonometry
[tex]\mathbf{cos^2\theta + sin^2\theta = 1}[/tex]
So, we have:
[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{1}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_0 (8cos(\theta) - 3sin(\theta))\ d\theta}[/tex]
Integrate
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times [ (8sin(\theta) + 3cos(\theta))\ } ]|\limits^{\frac{\pi}{2}}_0}[/tex]
Expand
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8sin(\frac{\pi}{2}) + 3cos(\frac{\pi}{2})] - ([ (8sin(0) + 3cos(0)])}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8\times 1 + 3\times 0)] - ([ (8\times 0 + 3\times 1])}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8] - [ 3])}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times 5}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =125}[/tex]
Hence, the value of the line integral is 125
Read more about line integrals at:
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Who can help me :(??
Answer:
3rd option
Step-by-step explanation:
7.6, 7.42, square 48, 79%=0.79
Answer:
C
Step-by-step explanation:
To make this easier, simplify all values to rational numbers (simplify from percentages and roots):
79% → 79÷100 → 0.79
√48 ≈ 6.9
Now order from greatest to least (descending):
[tex]7.6,7.42,6.9,0.79[/tex]
Re-insert the given values before simplification:
7.6, 7.42, √48, 79%
The correct answer is option C.
:Done
Simplify the expression: (2n + 3)(–2)
Answer:
(2n+3)(−2)
=(2n+3)(−2)
=(2n)(−2)+(3)(−2)
=−4n−6
1+1 lol dats da question
Answer:
yellow?
Step-by-step explanation:
so you have 1 then add another an get yellow, bam im a genius
Answer:
i think you have to first find the first 50 numbers of pi then x that my 96,1000 then you should turn on then off the works to but if you have a switch it wont work so after that you have to tell who ever you live with that they need to keep talking and never stop being them and that they are nice person then you get the answer
Step-by-step explanation:
this only works if you are cool enough
Select the correct answer.
Which expression is equivalent to the given expression?
(3m2m)
mn 4
A
27 m5
n
9m5
n
B.
C. 27m4n
D.
9m4n
Answer:
D 9m 4m because 9 divided by 2 is 3 and 4 divided by 2 is 2 and that's us you answer.
what is the answer to 5/3x + 4 = 2/3x
Answer:
5/3x + 4 = 2/3x
Step One- Subtract 5/3x to isolate the variable
4 = -3/3x
Step Two- Divide –3/3 to make your equation easier
4 = -x
Step Three- Divide by -1 (the lone negative cannot be there. It always represents a –1)
-4 = x is your answer!
Hopefully this helped! Feel free to mark brainliest!
Convert 0.4 to a percent
Answer:
0.4=40%
Step-by-step explanation:
hope this helps!!!
PART 1
A.5x=3x
B.5=3
1) How can we get Equation B from Equation A?
Choose 1 answer:
A) Add/subtract the same quantity to/from both sides
B)Add/subtract a quantity to/from only one side
C)Multiply/divide both sides by the same non-zero constant
D)Multiply divide both sides by the same variable expression
PART 2
Based on the previous answer, are the equations equivalent? In others words , do they have the same solution?
choose 1 answer:
A) yes
B) No
Answer:
не знаю Не до х#я не знаю
I'LL GIVE YOU BRAINLIEST, YOU LITERALLY CAN HAVE ALL MY POINTS Under a dilation, a square with side lengths 14 meters is transformed to a square with side lengths 2 meters. What is the scale factor of the dilation? Enter your answer as a simplified fraction by filling in the boxes.
Divide the new length by the original length:
Scale factor = 2/14
Simplified = 1/7
Just doing this for the points.
Its 1/7 simplified, I took the test.
electricity in a dash power station
Answer:
Most of U.S. electricity generation is from electric power plants that use a turbine or similar machine to drive electricity generators. A turbine converts the potential and kinetic energy of a moving fluid (liquid or gas) to mechanical energy.
Step-by-step explanation:
pls mark brainliest
Answer:
most power stations make use of turbines which drives power generators. A turbine converts potential and kinetic of moving fluid to mechanical energy.
Write an equation of the line with a slope of m= 2 and passing through the
points (-2,3).
Answer:
Step-by-step explanation:
y - 3 = 2(x + 2)
y - 3 = 2x + 4
y = 2x + 7
The expression 15n + 2(3p) represents the amount Isaiah spent buying gasoline and snacks, where n represents the price of each gallon of gasoline and p represents the cost of each snack that he bought. Which statement is true about the amount Isaiah spent?
He spent 6p dollars on gasoline.
He spent n + p dollars in all.
He bought 15 gallons of gasoline.
He bought 6 dollars worth of snacks.
Answer:
He bought 15 gallons of gasoline.
Step-by-step explanation:
In the expression [tex]15n+2(3p)[/tex]
[tex]n=[/tex] price of each gallon of gasoline
[tex]p=[/tex] cost of each snack bought
We can go ahead and distribute.
[tex]15n+6p[/tex]
The [tex]6p[/tex] means he bought 6 snacks. The [tex]15n[/tex] means he bought 15 gallons of gasoline.
Answer:
c
Step-by-step explanation:
Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound.
How can you use this info to assess the possible cost of the service project? If the Senior Class collects 235 pounds of trash, what is the cost
going to be?
Answer:
$17,640
Step-by-step explanation:
Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound. If the Senior Class collects 235 pounds of trash, the cost is going to be $17,640.
235 ⋅ 75 = 17,625
17,625 + 15 = 17,640
Therefore, the answer is $17,640.
