Answer:
there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
Step-by-step explanation:
H0 : μw = μm
H1: μw < μm
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
df1 = 14 - 1 = 13
df2 = 17 - 1 = 16
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((13*4^2) + (16*4.2^2)) ÷ (13 + 16)
Sp² = 16.90
t = (12.9 - 16.4) ÷ sqrt((16.90/14 + 16.90/17))
t = - 3.5 ÷ 1.4836645
t = - 2.359
Using the Pvalue from Tscore ; at 95% ; df = 29
Pvalue = 0.0126
Pvalue < α
0.0126 < 0.05 ;
Hence, we reject the null and conclude that there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
14. Which of the following is not a true statement about the scatter plot above?
A. The association of the scatter plot is positive.
B. The association of the scatter plot is linear.
C. For every additional day of a trip, the weight of a suitcase increases 5 pounds.
D. For every 5 additional days of a trip, the weight of a suitcase increases one pound.
Answer:
Step-by-step explanation:
zz* + 3iz = p + 9i
where z is a complex number and p is a real constant.
Given that this equation has exactly one root, determine the complex number z
Step-by-step explanation:
I need to use the fact that it has exactly one root to find the y part - do I use the quadratic formula on the last bit I have written?
I have x already and z = x+iy
3i and 3 are two complex numbers that fulfill this equation.
What are complex numbers?A complex number is a number of the form (a + bi), where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex]. The general form of the complex number representation is (a + ib). In this, [a] is called real part and [ib] is called imaginary part.
We have -
zz* + 3iz = p + 9i
Assume the complex number to be -
z = a + ib
Then -
(a + ib)(a - ib) + 3i(a + ib) = p + 9i
a² + b² + 3ai + 3bi = p + 9i
(a² + b²) + i(3a + 3b) = p + 9i
So -
3(a + b) = 9
a + b = 3
(a² + b²) = p
Now -
Assume p = 9
Then -
a + b = 3
a² + b² = 9
we get two possible values -
(a, b) = (0, 3)
and
(a, b) = (3, 0)
It can be seen that the values of complex number depend upon the value of p. For p = 9, two complex numbers fulfill this equation -
0 + i3 = 3i
3 + i0 = 3
Therefore, 3i and 3 are two complex numbers that fulfill this equation.
To solve more questions on complex numbers, visit the link below-
brainly.com/question/617146
#SPJ2
Mrs. Cole has a bag containing white and yellow marbles. Mrs. Cole randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 65 selections are shown below. White Marble - 41 times Yellow Marble - 24 times Based on these results, what is the probability that the next marble Mrs. Cole selects, rounded to the nearest percent, will be white?
answer choices
40%
50%
59%
63%
Find the slope of the line that passes through (0,-2) and (4,-3)
The figure is formed by joining two rectangular prisms.
What is the volume of the figure?
6 m
4 m
4 m
2 m
3 m
Answer:
3m
Step-by-step explanation:
3-dimensional space an object occupied
PLS ANSWER IT QUCK PLS PLS PLS PLS PLS
Answer:
87 !
Step-by-step explanation:
Your marketing team has conducted two focus group sessions to evaluate a new product design. The first focus group consisted of teenagers and resulted in four out of five liking the new product. The second group was made up of parents of young children. Only one out of five people in this group said they liked the same new product as the teens. With 90% confidence (Z = 1.64), can you say that there is a difference between the views of these two populations? Please show your calculations, use 2 decimal places in your calculation answer, and justify your answer regarding differences.
Answer:
Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.
Step-by-step explanation:
1) Formulate the hypotheses:
H0 : p1=p2
Ha: p1 ≠ p2
2) The significance level is chosen at ∝= 0.1
3) The critical region is Z∝/2 ≥ ± 1.645
4) The test statistic under H0 is
Z = p1^- p2^/ √p^q^( 1/n1 + 1/n2)
p1^= proportion of of teenagers liking the new product.
p2^ = proportion of of parents of young children liking the new product.
p1^= 4/5
p2^= 1/5
p^= 5(0.8) + 5(0.2)/5+5= 4+1/10= 0.5
q^= 0.5
Thus
Z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)
z= 0.8-0.2/√0.5*0.5( 1/5 + 1/5)
z= 0.6/ 0.316227
z= 1.897
5) Conclusion:
Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.
What are the answer I don’t need the process
Step-by-step explanation:
Don't you need a key for what K equals to solve this?
An angle measures 59 degrees what is the measure of its supplement
Answer:
add up to 90 degree
Step-by-step explanation:
A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $8 the average attendance per game has been 20000. When the price dropped to $6, the average attendance rose to 27000. Assume that attendance is linearly related to ticket price.
Find a function that models the per game revenue in terms of the price
p
R
(
p
)
=
What ticket price would maximize revenue? (round to the nearest cent)
9514 1404 393
Answer:
R(p) = -3500p^2 +48000p . . . revenue function
$6.86 . . . price for maximum revenue
Step-by-step explanation:
The 2-point form of the equation for a line can be used to find the attendance function.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (27000 -20000)/(6 -8)(x -8) +20000
y = -3500(x -8) +20000
y = 48000 -3500x . . . . y seats sold at price x
The per-game revenue is the product of price and quantity sold. In functional form, this is ...
R(p) = p(48000-3500p)
R(p) = -3500p^2 +48000p . . . per game revenue
__
Revenue is maximized when its derivative is zero.
R'(p) = -7000p +48000
p = 48/7 ≈ 6.86
A ticket price of $6.86 would maximize revenue.
A simulation produces an experimental probability of 0.45. How many times
did the event occur if the number of trials was 380?
Answer:
Ihe answer is 845 times
Step-by-step explanation:
Find the mode of the data set. 46, 44, 49, 54, 51, 50, 47, 41, 47, 51, 51, 40, 53, 50, 52, 53
Answer:
51
Step-by-step explanation:
To find the mode of a data set, you must order the data set from least to greatest and find out which number appears the most. For example, I ordered the data set in this example, and found the out that 51 appeared the most.
a trailer that can be attached to the back of the truck also has a volume of 180 cubic feet. what could be the possible dimension of the trailer
Answer:
5x6x6
Step-by-step explanation:
5x6x6=180
3x3x20=180
4x5x9=180
[tex]\sqrt[3]{180}[/tex]=5.65
someone please help me answer this!!
Answer:
8 mm
Step-by-step explanation:
Answer attached....
Hope it helps :)
Answer:
a = 8mm is the answer
Step-by-step explanation:
a = ?
b = 6mm
c = 10mm
By using the Pythagoras theorem,
a² + b² = c²
a² + 6² = 10²
a² + 36 = 100
a² = 100 - 36
a² = 64
a = 8
∴ a = 8mm is the length of the missing leg
Please can someone find X! Please!
ASAP PLEASE HELP
WILL MARK BRAINLIEST
Answer:
A, B, and C All have four sides, and they all have opposite sides that are equal. B and C have right angels. A has angels on opposite side that are the same
Step-by-step explanation:
Plz help me well mark brainliest if you are correct!
Answer:
4
Step-by-step explanation:
ima fail if i dont do these questions please help!!!
Answer:
Cuboid's volume is l · w · h
for number one, (9 1/2)·6·(4 2/3), you get 266
there is also triangular prism, which is V = 1/2 b·h·l
which is (1/2 6.9)·8·18 which is 496.8
the surface area is just the area of all the shapes added together, i didn't see any lateral surface area on there, so im not gonna explain unless you want me to.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
......................................
What’s the answer helpppp
Answer:
the answer would be the second one
Answer:
Second choice
Step-by-step explanation:
18=2x9
9=3^2
X^7=(x)x^6)
root 18x^7
=3x^3root 2x
A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air pollution. If more than 313 voters respond positively, we will conclude that at least 60% of the voters favor the use of these fuels.
Required:
a. Find the probability of type I error if exactly 60% of the voters favor the use of these fuels.
b. What is the type II error probability β if 75% of the voters favor this action?
Answer:
[tex]\alpha=0.11767[/tex]
[tex]\beta=0[/tex]
Step-by-step explanation:
From the question we are told that:
Population size size [tex]N=500[/tex]
Sample mean [tex]n=313[/tex]
Null hypothesis [tex]H_0:P=0.6[/tex]
Alternative hypothesis[tex]H_a:P>0.6[/tex]
Generally the equation for for P value is mathematically given by
[tex]P=\frac{n}{N}[/tex]
[tex]P=\frac{313}{500}[/tex]
[tex]P=0.6[/tex]
Generally the mean [tex]\=x[/tex] is mathematically given by
[tex]\=x=np\\\=x=500*0.6[/tex][tex]\=x=300[/tex]
Generally the standard deviation [tex]\sigma[/tex] is mathematically given by
[tex]\sigma=\sqrt{npq}[/tex]
[tex]\sigma=\sqrt{500*0.6*(1-0.6)}[/tex]
[tex]\sigma=10.95[/tex]
a)
Generally the probability of Type_I error [tex]P(X>313)[/tex] is mathematically given as
[tex]P(X>313)=P(\frac{x-\mu}{\sigma}>\frac{313-300}{10.95} )[/tex]
[tex]P(X>313)=P(z>1.187 )[/tex]
Therefore using z table
[tex]\alpha=0.11767[/tex]
b)
Null hypothesis [tex]H_0:P=0.75[/tex]
Alternative hypothesis[tex]H_a:P>0.75[/tex]
Generally the probability of Type_II error [tex]P(X<313)[/tex] is mathematically given as
[tex]P=0.75,n=500\\q=1-0.75\\q=0.25[/tex]
Generally the mean [tex]\=x'[/tex] is mathematically given by
[tex]\=x'=500*0.75[/tex]
[tex]\=x'=500*0.75[/tex]
[tex]\=x'=375[/tex]
Generally the standard deviation [tex]\sigma[/tex] is mathematically given by
[tex]\sigma=\sqrt{npq}[/tex]
[tex]\sigma=\sqrt{500*0.75*(1-0.75)}[/tex]
[tex]\sigma=9.68[/tex]
Therefore
[tex]P(X<313)=P(\frac{x-\mu}{\sigma}<\frac{313-375}{9.68} )[/tex]
[tex]P(X<313)=P(z<-6.405)[/tex]
Therefore from standard normal table
[tex]P(X<313)=0[/tex]
[tex]\beta=0[/tex]
You buy tomatoes in 25-pound cases. One batch of Cobb salad requires 1.1 ounces of tomatoes. How many portions can be made with one case? Round down (don’t include partial portions).
Answer:
363 portions can be made with one case.
Step-by-step explanation:
Since I buy tomatoes in 25-pound cases, and one batch of Cobb salad requires 1.1 ounces of tomatoes, to determine how many portions can be made with one case, the following calculations must be performed:
1 pound = 16 ounces
25 pounds = 400 ounces
400 / 1.1 = 363.63
Therefore, 363 portions can be made with one case.
Helppppppp plsssssssssssssssssssssss
Answer:
Its 12.51
Step-by-step explanation:
Divide the ones column dividend by the divisor.
Multiply the divisor by the quotient in the right place column.
Subtract the product from the ones column.
then you get your answer! Hope this helps!
Evaluate the six trigonometric functions of the angle 0?
Step-by-step explanation:
In the above right Angled triangle , we have ,
perpendicular = 12base = 9hypontenuse = ?For finding hypontenuse use Pythagoras Theorem , we have ,
⇒ h² = p² + b²
⇒ h² = 9² + 12²
⇒ h² = 81 + 144
⇒ h² = 225
⇒ h = √225
⇒ h = ± 15
⇒ h = 15 [ Neglect -ve value ]
Therefore ,
cosθ = b/h = 9/15sinθ = p/h = 12/15tanθ = p/b = 12/9cosecθ = h/p = 15/12 secθ = h/b = 15/9 cotθ = b/p = 9/12Find tan A for the triangle below. A right triangle. The hypotenuse is 24.19, the side opposite to angle A is 12, and the side adjacent to angle A is 21.
a. 0.868
b. 0.496
c. 1.75
d. 0.5714
Answer:
D. Just follow the definition in the first line of the answer.
Step-by-step explanation:
Tan(A) = the opposite Side / Adjacent Sid
Tan(A) = 12/21
Tan(A) = 0.5714
Answer:
D. 0.5714
Step-by-step explanation:
I am a rizzly bear
please help. im stuck on this one
Answer:
B
Step-by-step explanation:
Substitute the coordinates of the point into the left side of the equation and if the value obtained equals the right side then it is a solution.
A (- 4, 4 )
- 3(- 4) - 4 = 12 - 4 = 8 ≠ 6 ← not a solution
B (- 3, 3 )
- 3(- 3) - 3 = 9 - 3 = 6 ← this is a solution
The result is B
Please help me I need help
Answer:
The first one would be the top answer.
He can play less than 5 minutes before he loses a life.
Step-by-step explanation:
it's this one!!!!_;$;;#+$;
Answer:
12 Units
A total of 12 units have been traveled.
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
400
Step-by-step explanation:
someone please help me answer this!1
Answer:
b = 30 yd is the answer.
Step-by-step explanation:
a = 40 yd
b = ?
c = 50 yd
According to the Pythagoras theorem,
a² + b² = c²
40² + b² = 50²
1600 + b² = 2500
b² = 2500 - 1600
b² = 900
b = 30 yd
∴ b = 30 yd is the length of the missing leg.