Answer:
"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."
Step-by-step explanation:
A Type I error happens when a true null hypothesis is rejected.
In this case, as the claim that want to be tested is that the average wind speed is significantly higher than 15 mph, the null hypothesis has to state the opposite: the average wind speed is equal or less than 15 mph.
Then, with this null hypothesis, the Type I error implies a rejection of the hypothesis that the average wind speed is equal or less than 15 mph. This is equivalent to say that there is evidence that the average speed is significantly higher than 15 mph.
"A Type I error in the context of this problem is to conclude that the true mean wind speed at the site is higher than 15 mph when it actually is not higher than 15 mph."
Solve (3x+7)=4x for x
Answer:
x=7
Step-by-step explanation:
(3x+7)=4x
Subtract 3x from each side
(3x+7) -3x=4x-3x
7 = x
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
Answer:
88 25/27
Step-by-step explanation:
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
PEMDAS
Parentheses first
(7)^2 (7)^2÷(3)^3
Then exponents
49*49 ÷27
Then multiply and divide from left to right
2401÷27
2401/27
88 25/27
88.92592593
Answer:
Step-by-step explanation:
(7)^2(7)^2 / (3)^3
49*49 / 27
2401/27
88 25/27
Find z1z2 if z1 = 3(cos37° + isin37°) and z2 = 2/3(cos53° + isin53°).
Answer:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Step-by-step explanation:
Both variable can be rewritten into polar form:
[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]
The complex product is equal to:
[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]
[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]
The resultant expression in rectangular form is:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Answer:
The correct question is:
Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].
(Note: the angles mentioned in the equations above are in degrees)
The answer is [tex]z_{1}.z_{2}= 2i[/tex]
Step-by-step explanation:
[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]
[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]
[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]
[tex]z_{1}.z_{2}= 2i[/tex]
The manufacturer of pencils spends $0.05 to make each pencil and sells them for
0.25. The manufacturer also has fixed costs each month of $2000. Find the cost function C when x pencils are manufactured.
Answer: C(x) = 2000+ 0.05 x
Step-by-step explanation:
Hi, to answer this question we simply have to apply the next formula:
Cost (C) = fixed cost + (cost per pencil x number of pencils)
Since:
Fixed cost: $2000
Cost per pencil : $0.05
Replacing with the values given:
C(x) = 2000+ 0.05 x
Where x is the number of pencils manufactured.
Feel free to ask for more if needed or if you did not understand something.
In the figure below, which term best describes point T?
Answer:
A
Step-by-step explanation:
What is the square root of 7/9?
Answer:
(√7)/3 ≈ 0.881917
Step-by-step explanation:
[tex]\sqrt{\dfrac{7}{9}}=\dfrac{\sqrt{7}}{\sqrt{9}}\\\\=\boxed{\dfrac{\sqrt{7}}{3}\approx 0.881917}[/tex]
We conduct a study to determine whether the majority of community college students plan to vote in the next presidential election. We choose a significance level of 0.05. We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is 0.02. H0: 50% of community college students plan to vote in the next presidential election. Ha: More than 50% of community college students plan to vote in the next presidential election. What can we conclude
Answer:
we can conclude that more than 50% of community college students plan to vote in the next presidential election
Step-by-step explanation:
Decision Rule
If;
P-value > significance level --- accept Null hypothesis
P-value < significance level --- reject Null hypothesis
Z score > Z(at 95% confidence interval) ---- reject Null hypothesis
Z score < Z(at 95% confidence interval) ------ accept Null hypothesis
Null hypothesis H0: 50% of community college students plan to vote in the next presidential election
H0: p = 0.50
Ha: More than 50% of community college students plan to vote in the next presidential election
Ha: p > 0.50
P-value = 0.02
From the decision rule;
Since the p-value for this study is less than the significance level.
0.02 < 0.05
So, we reject the null hypothesis, there is enough evidence to reject the null hypothesis. We thereby accept the alternative hypothesis.
Therefore, we can conclude that more than 50% of community college students plan to vote in the next presidential election
[ Cuiu be made.
There are 24 boys for every 36 girls (24:36 ratio)
There are
boys for every
girls
try
Type in an equivalent ratio of boys and girls.
Answer:
24/36 = 12 x 2/12 x 3 = 2/3.
Step-by-step explanation:
10% of 20% of 30% is equal to?
Answer:
The final percent would be (10/100) x (20/100) x (30/100) = 0.006 = 0.6%
Answer:3/500
Step-by-step explanation:
10% of 20% of 30%
10/100 of 20/100 of 30/100
1/10 x 1/5 x 3/10
(1x1x3)/(10x5x10)
3/500
What is the fractionation of X2 - 6X + 5
Answer:
(x -1)(x -5)
Step-by-step explanation:
We recognize that 6 is the sum of the factors of 1·5, so we can write the factorization as ...
x^2 -6x +5 = (x -1)(x -5)
_____
The product of factors will be ...
(x +a)(x +b) = x^2 +(a+b)x +ab
So, the binomial constants "a" and "b" are factors of the trinomial constant that have a sum equal to the coefficient of the linear term. Here, those are factors of +5 that have a sum of -6. The factors of interest are -1 and -5: 5 = (-1)(-5); -6 = (-1) +(-5).
Which is the simplified form of m ^-8 p^0
Answer:
Step-by-step explanation:
m−^8p^0
=1/m^8
In a certain Algebra 2 class of 25 students, 5 of them play basketball and 10 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
Probability of students who plays both baseball and basketball is [tex]\frac{2}{25}[/tex]
Step-by-step explanation:
We have given total number of students = 25
5 of them play basket ball 10 of them plays base ball
there are 12 students who neither play baseball nor basket ball
So the number of students who play either baseball or basketball is
[tex]n(A\cup B)=25-12=13[/tex], here A is for basketball and B is for baseball.
From set theory we know that
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]13=5+10-n(A\cap B)[/tex]
[tex]n(A\cap B)=2[/tex]
Therefore there are two students who play both baseball and basketball
Probability is equal to [tex]=\frac{2}{25}[/tex]
I will make you the brainliest if you can help me with my geometry homework.
Answer:
SAS
Step-by-step explanation:
Sides WV and XV on either side of angle WVX have been shown to be congruent to their corresponding parts. When you're concerned with a Side, Angle, and Side in that geometrical sequence, the SAS theorem is applicable.
Consider that point A is reflected across the x-axis. What is the distance between point A and the point of its reflection?
Answer:
It would be 2 x the absolute value of the y coordinate.
Step-by-step explanation:
Example:
(5,-3)
Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.
Let a = 60. What is the value of a ÷ 5? equation
Answer:
12
Step-by-step explanation:
Just substitute 60 for a and divide it by 5
Ta Da!!
When Jonas becomes the Receiver of Memory, he gets a rule that he may not tell his dreams. He wants to know how many of his 505050 classmates have the same rule. He asks 555 friends from his class whether they may tell their dreams. Of those, 444 say that they may.
Answer:
101010 classmates can't tell their dreams.
Step-by-step explanation:
I'm not sure what the question is, but if it is an average thing than 444 of 555 is 80 percent, so if that is what it wants 404040 of the students can share their dreams, and 101010 can't.
Hope this helps!
Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily expenses. She
wants to keep more than $300 in the account for college. The number of weeks, w, that Jenny can withdraw money from her account is
represented by the inequality 600 – 20w> 300. How many weeks can Jenny continue to withdraw $20 from her account?
A.
14
B.
17
O C.
20
D.
22
Answer:
A
Step-by-step explanation:
since she wants to keep 300 in her account first you would subtract 300 from 600 to get 300. Then you would divide it by 20 to get 15 so your answer would be a because she want's to keep at least 300 in her account.
how many thousands make 5crore
Answer:
50,000 thousands make a crore.
Step-by-step explanation:
One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.
Which expression represents a factorization of 32m + 56mp ?
Answer:
8m(4 + 7p)
Step-by-step explanation:
Take out the greatest common factor:
8m(4 + 7p)
3/4 x 1/4
next problme: 3/5 x 1/5
100 pts
Answer:
0.1875 and 0.12
Step-by-step explanation:
3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12
Answer:
1)0.1875
2)0.12
Step-by-step explanation:
help me plss to find the area
Answer:
A=88 square units
Step-by-step explanation:
A=B x H
A= 11 x 8
A=88 square units
THIS IS MATH WORK AND IS VERY CONFUSING
I NEED HELP PLEASE
ASAP PLEASE
(Could you show work too thanks :D)
Step-by-step explanation:
1.
First blank: total amount of outcomes
2.
since there's four possible outcomes: (Head-Head, Head-Tail, Tail-Head, and Tail-Tail) Mason should expect to win 1/4 of the time, or roughly 50 times.
3.
a) F
b) F
c) T
d) T
e) T
f) T
4.
17/36, because 17 of the answers are greater than 10 and there are 36 total answers.
Sorry I didn't answer all of them, hopefully this still helps!
Goodluck with your schoolwork/homework!
--------------------------------------------------------------
Apologies in advance for any errors/bad explanations.
Elliot is simplifying a radical. His work is shown
Which statement best applies to Elliot's mathematical work?
A. The equality V64 = 4.16 is incorrect or invalid.
B. Removing the 4 from under the radial in the second step is incorrect or invalid
C. The work shown above is correct; however, 2V16 can be simplified further.
D. The work shown above is correct; and 2V16 cannot be simplified further
Answer:
C. correct, but can be further simplified
Step-by-step explanation:
Elliot's work is correct, but he apparently failed to recognize that 64 = 8². The radical could be simplified to ...
√64 = 8
Answer:
c
Step-by-step explanation:
got it right
Math Help!!! ASAP!! I will give you brainliest!!
Answer:
Step-by-step explanation:
true true false
What are the solutions to the equation (x − 21)2 = 25?
Answer:x=7 x=-3
Step-by-step explanation:
(x-2)^2=25
Take the Square root of both sides
(x-2)=±√(25)
x-2=±5
x=2±5
x=2+5 or x=2-5
x=7 or x=-3
The solution for the given equation is x=26 and x=16.
The given equation is (x − 21)² = 25.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The solution for the given equation can be determined as follows:
(x − 21)² = 25
⇒ (x − 21)=±√25
⇒ (x − 21)=±5
⇒ x=±5+21
⇒ x=5+21 and x=-5+21
⇒ x=26 and x=16
Therefore, the solution for the given equation is x=26 and x=16.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
What is the slope for the linear function y=3x-4
Answer:
3
Step-by-step explanation:
This is written in the form
y= mx+b
where m is the slope and b is the y intercept
3 is the slope and -4 is the y intercept
a rectangular rug measures 8 feet long and 12 feet wide . what is the area of the rug
Answer:
96 square feet
Step-by-step explanation:
Area= length x width
So for the rug it would be 12x8
12x8=96
Two math students were asked to write an exeponential growth equations that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y=300(1.02)^x and Scott thinks that the answer is y=300(1.2)^x. Are either of them right and why?
Answer:
Pierre is right.
Step-by-step explanation:
A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.
Pierre is correct y = 300(1.02)^x.
Scotts answer 1.2 = a growth rate of 20%.
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
x = -3 ±sqrt(27)
Step-by-step explanation:
x^2 +6x = 18
Take the coefficient of x
6
Divide by 2
6/2 =3
Square it
3^2 = 9
Add this to each side
x^2 +6x+9 = 18+9
6/2 or 3 is what is inside the (x+ )^2 on the left
(x+3) ^2 = 27
Take the square root of each side
sqrt((x+3) ^2) = ±sqrt(27)
x+3 = ±sqrt(27)
Subtract 3 from each side
x+3-3 = -3 ±sqrt(27)
x = -3 ±sqrt(27)
??????????????????????
Answer:
The answer you put is correct.
Step-by-step explanation:
It is B.
Answer:
[tex]882\pi[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius and h is the height of the cylinder. Therefore, the volume of this cylinder is [tex]\pi \cdot 7^2 \cdot 18=882\pi[/tex] cubic feet. Hope this helps!
