Answer:
Step-by-step explanation:
Here are the missing values;
Mean μ = 15.5 minutes
Standard deviation = 1.7 minutes
A Random sample of 90 completion
The sample mean = 15.4 minutes
Level of significance = 0.1
Then the following analysis can be made on the above study.
Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]
the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]
Since, the value is less than, then this is a one-tailed test.
The Z test statistics can be computed as:
[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]
[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]
[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]
Z = −0.560
The critical value of Z at 0.1 level of significance is:
[tex]Z_{0.1} = -1.28[/tex]
Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28
Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.
What is the degree of 24x?
Answer:
one
Step-by-step explanation:
Create the f(x) function based on the table. Answer should be in function notation
Answer:
It will be
f(x)=x+4
(2x + y = 14
5x - y = 28
Which ordered pair represents the solution
Answer:
D (6,2)
Step-by-step explanation:
2x6+2=14 2x6= 12 12+2= 14
5x6-2=28 5x6=30 30-2=28
Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.
There's a picture of a circle with the radius of 21 cm
Picture of the circle:
Answer:
65.94cm
Step-by-step explanation:
The two equivalent equations to find the circumference of a circle are:
Circumference = 2 * pi * radius
Circumference = pi * diameter
Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:
Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm
how many times larger is 2.4 x 10^8 than 6 x 10^7?
If you have 54/4 how does it equal 13.5
Answer:
I don't like mathematics
???? Help me and I’ll mark as brainliest
Answer:
15
Step-by-step explanation:
Answer:
I believe the answer is 6.
Step-by-step explanation:
X + 7/8 = 23/8
Please help
Answer:
x=2
Hope I helped
Answer:
X=2
Step-by-step explanation:
Please mark brainliest.
5 plus 5 euqals what number help
Answer:
10
Step-by-step explanation:
lol
...its 10
Step-by-step explanation:
1+1+1+1+1= 5
1+1+1+1+1= 5
5+5=10
The ratio of fifth graders to sixth graders is 4 to 5. If one of the grade totals is 160,
select the possible totals for the other grade.
200
160
40
32
128
Answer:
Hi how are you doing today Jasmine
Answer:
40 and 32 i think
Step-by-step explanation:
i did it and im pretty sure its 40 and 32
Which of the following functions is non-linear?
A.y = 2x +1
B.2x- 2y=14
C.(x+2)² = 6
D.y=7
A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)
Answer:
Hence 262 adults and 88chidren are in the audience
Step-by-step explanation:
Let the number adults be x
Let the number of children be y
If there are 350seats in the theatre then;
x+y =350 .... 1
Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;
10.50x + 7.50 y = 3411..... 2
Solve simultaneously
From 1, x = 350-y
Substitute into 2:
10.50(350-y) +7.50y = 3411
3675-10.5y+7.50y = 3412
3675-3y = 3411
-3y = 3411-3675
-3y = -264
y = 264/3
y = 88
From 3: x = 350-y
x = 350-88
x = 262
Hence 262 adults and 88chidren are in the audience
Which of the following is equal to 16.4 ?
O A. 32
O B. V16.4
O c.
D. 64
Answer:
b?
Step-by-step explanation:
b= v16.4
Graph the following system of equations and find where they meet 3x + 5y = 36 y = 5x - 4
Answer:
[2,6]
Step-by-step explanation:
3x+5y=36
5x-4=y
3x+5(5x-4)=36
3x+25x-20=36
28x-20=36
28x=56
x=2
5x-4=y
5*2-4=y
10-4=y
6=y
Type the correct answer in each box. Use numerals instead of words.
Renee and David plan to file taxes as married filing jointly. They have a combined taxable income of $51,325. Use the table to determine the amount of tax due, and calculate their effective tax rate, rounding to the nearest tenth.
Answer:
the answer is 6766 and the percent is 13.2
Step-by-step explanation:
100 on the plato test
what's 2+2-2-4+77 and what is the square root of the sum
Answer:
simplified it is 75 the square root of 75 is 8.66025403784
Step-by-step explanation:
i need help with this one (T_T)
HELP ME PLZ
A figure is shown in the image. What is the measure of the
highlighted angle?
А. 30
В. 60
С. 120
D. 65
Answer:
c is the correct answer i my guest
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
B.)40 degrees
C.)45 degrees
D.)27 degree
Answer:
30° is one of the degree measures of the angles.
Hence, option (A) is true.
Step-by-step explanation:
Let 'x' be the degree measure of the first angle.Given that the degree measure of one of two complementary angles is twice that of the other.
Thus, the other angle = 2xComplementary angles
We know that two angles are termed as complementary angles when the sum of their measured angles is 90°.Thus the equation becomes
x + 2x = 90°
3x = 90°
Divide both equations by 3
3x/3 = 90°/3
x = 30°
Therefore, 30° is one of the degree measures of the angles.
Hence, option (A) is true.
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
Answer :A.) 30 degrees
Solution :Let one angle = x
According to statement,
Another angle = 2 × first angle
[tex] \sf : \implies Another \: angle = 2x[/tex]
Now, we know that sum of complementary angles is 90°
Hence,
[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]
[tex] \sf : \implies 3x = 90^{\circ}[/tex]
[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]
[tex] \sf : \implies x = 30^{\circ}[/tex]
[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]
Therefore, one of the angle is 30°.
Another angle = 2 × 30° = 60°
Considering only the factors of the form x - k, what is the relationship between the k values and the zeros?
Given:
Considering only the factors of the form x - k.
To find:
The relationship between the k values and the zeros?
Solution:
We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.
It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.
The relationship between the k values and the zeros is defined as
k values = Zeros of the function
Therefore, the k values are to zeros of the function.