Answer:
Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.
Step-by-step explanation:
The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.
This means that at the null hypothesis we test if the proportion is at least 60%, that is:
[tex]H_{0}: p \geq 0.6[/tex]
And the alternate hypothesis is:
[tex]H_{a}: p < 0.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that:
[tex]\mu = 0.6[/tex]
[tex]\sigma = \sqrt{0.6*0.4}[/tex]
Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.
This means that [tex]n = 575, X = \frac{338}{575} = 0.5878[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}[/tex]
[tex]z = -0.6[/tex]
Pvalue of the test and decision:
We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.
Looking at the z-table, z = -0.6 has a pvalue of 0.2743.
Since 0.2743 > 0.1, the threshold probably was met.
Jose reads his book at an average rate of 2.5 pages every four minutes. If Jose continues to read at exactly the same rate what method could be used to determine how long it would take him to read 20 pages?
it would take him 32 minutes. You could use divisoin and multiplecation to figure it out
9. Which of the following fractions is equivalent to 1.68?*
25
17
25
42
A
OB.
42
7
25
4.
Which of the following shows the extraneous solution to the logarithmic equation log7 (3x ^ 3 + 7) - 100 + (x) = 27
Answer: X=-4
Step-by-step explanation:
Should be B on Edge.
Answer: X = -4
Step-by-step explanation:
ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE
Answer: the correct answer should be 160 but you said that didnt work so try 480
Step-by-step explanation:
I just did base times Hight 8*10 which is 80*6=480
hoped this helps:))
Answer:
80
Step-by-step explanation:
V= Bh/3
Area of base= (L × W) ÷2
(8×6)÷2 = 24
Multiply by height
24×10=240
Divide by 3 (since its a pyramid therefore has 3 sides)
240/3=80
80 is your answer
Please help asap!!!!
Answer:
[tex] m\widehat {MP} =46\degree [/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]
[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]
[tex] 23\degree \times 2= m\widehat {MP} [/tex]
[tex] m\widehat {MP} =46\degree [/tex]
Question 7Partially correct answer. Your answer is partially correct. Try again.An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.(a) Is there evidence that the success rate is greater for longer tears
This question is incomplete, the complete question is;
An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 13 of 19 repairs were successful while for shorter tears, 22 of 30 repairs were successful.
a) Is there evidence that the success rate is greater for longer tears? Use alpha=0.05
Answer:
P-value = 0.6443
Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.
Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ = [tex]p[/tex]₂
Step-by-step explanation:
Given the data in the question;
Sample of tears greater than 25;
number of successive repairs X₁ = 13
number of repair n₁ = 19
proportion of successive repairs [tex]p[/tex]₁ = 13/19 = 0.68
q₁ = 1 - [tex]p[/tex]₁ = 1 - 0.68 = 0.32
Sample of tears shorter than 25;
number of successive repairs X₂ = 22
number of repair n₂ = 30
proportion of successive repairs [tex]p[/tex]₂ = 22/30 = 0.73
q₂ = 1 - [tex]p[/tex]₂ = 1 - 0.73 = 0.27
so;
H₀ : There is no significant difference in the successive proportions; [tex]p[/tex]₁ = [tex]p[/tex]₂
Hₐ : The successive rate is greater for longer tears [tex]p[/tex]₁ >
Significance level ∝ = 0.05
Test Statistics
Z = ([tex]p[/tex]₁ -
so we substitute
Z = ( 0.68 - 0.73 / √[ (0.68 ×0.32 / 19) + ( 0.73×0.27 / 30 ) ]
Z = -0.05 / √[ 0.01802 ]
Z = -0.05 / 0.1342
Z = -0.37
P-value for the given test, p = P( Z > -0.37 )
= 1 - P( Z ≤ - 0.37 )
= 1 - 0.35569
P-value = 0.6443
Now, since the p-value( 0.6443 ) is greater than the significance level (0.05), We fail to reject null hypothesis.
Therefore, there is no significant difference in the successive proportion ( rate ). [tex]p[/tex]₁ = [tex]p[/tex]₂
At a high school with over 500 students, a counselor wants to estimate the mean number of hours per week that students at the school spend in community service activities. The counselor will survey 20 students in the Environmental Club at the school. The mean number of hours for the 20 students will be used to estimate the population mean. Which of the following conditions for inference have not been met?
1. The data are collected using a random sampling method.
2. The sample size is large enough to assume normality of the distribution of sample means.
3. The sample size is less than 10 percent of the population size.
Complete option:
The sample size is less than 10 percent of the population size. A. II onlyB. III onlyC. II and III onlyD. I, II, and III
Answer:
D.) I, II, and III
Step-by-step explanation:
The sample are not well randomly selected as the samples were only selected from a single source, the environmental club in the school.
Similarly only 20 samples were chosen, these 20 samples are not enough to assume normality as the minimum number of samples required to assume normality according to the Central limit theorem is 30 samples or more.
10% of the population size is :
Population size = 5000
0.10 * 5000 = 500 samples
Hence, sample size used is less than 10% of population size.
Help me with this problem please
Answer:
[tex](a)\ A_1 = s^2[/tex]
[tex](b)\ A_2 = 4s^2[/tex]
(c) 4 small squares
Step-by-step explanation:
Given
Small Square:
[tex]Dimension: s[/tex]
Large Square:
[tex]Dimension: 2s[/tex] i.e. twice as long as the small square
Solving (a): The area of the small square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_1 = s^2[/tex]
Solving (b): The area of the large square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_2 = (2s)^2[/tex]
[tex]A_2 = 4s^2[/tex]
Solving (c): Number of small square to cover the large square
To do this, we simply divide their areas.
Let n represents the required number; n is calculated as:
[tex]n = \frac{A_2}{A_1}[/tex]
[tex]n = \frac{4s^2}{s^2}[/tex]
[tex]n = 4[/tex]
Hence, 4 small squares is required to cover the large square
which of the following statements are true of the discriminant?
Answer:
A,B,C
Step-by-step explanation:
what value of x will make the faction equivent 3/5=x/36
Answer:
x = 21.6
Step-by-step explanation:
Solution by Cross Multiplication
For the equation
35=x36
The cross product is
3×36=5×x
Solving for x
x=3×365
and reducing
x=21.6
Solution by Proportion
Since the equation is an equality
If
36 ÷ 5 = 7.2
Then it is true that
x ÷ 3 = 7.2
Solving for x
x = 3 × 7.2
x = 21.6
4n -6 = 10n
Simplify.
-----------------------------------------------------------------------------------------------------------------
Answer: n = -1
-----------------------------------------------------------------------------------------------------------------
add 6 to both sides of the equation.
4n − 6 = 10n
4n − 6 + 6 = 10n + 6
-----------------------------------------------------------------------------------------------------------------
simplify.
(add the numbers)
4n − 6 + 6 = 10n + 6
4n = 10n + 6
4n = 10n + 6
-----------------------------------------------------------------------------------------------------------------
subtract 10n from both sides.
4n − 10n = 10n + 6 − 10n
-----------------------------------------------------------------------------------------------------------------
simplify. (again)
(combine like terms) (combine like terms)
4n − 10n = 10n + 6 − 10n −6n = 10n + 6 − 10n
−6n = 6
-----------------------------------------------------------------------------------------------------------------
divide both sides by the same term.
−6n/−6 = 6/-6
n = 6/−6n = 6/−6
-----------------------------------------------------------------------------------------------------------------
simplify. (again)
(cancel terms that are in both the numerator and denominator)
n = 6/−6
(divide the numbers)
n = 6/−6
n = 1
-----------------------------------------------------------------------------------------------------------------
Answer:
n= -1
Step-by-step explanation:
The measure of arc AB is °.
The measure of angle AOB is °.
The measure of angle BDA is °.
Answer:
50,50,25
Step-by-step explanation:
Answer:
50,50.25
Step-by-step explanation:
Question 8 of 10 What is the median of this data set? 14, 18, 31, 34, 44, 50 AL32.5 O B. 33 C. 31.5 D. 31
Answer:
a
Step-by-step explanation:
Bailey makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture
Answer:
D.
Step-by-step explanation:
Let (2a+1) be an odd number, and let (2b+1) be another odd number. The product 2(2ab+a+b)+1 is a multiple of 2 plus 1, which is an odd number.
Factor the expression completely.
35 + 2x2 – 24
Answer:
[tex]2x^{2} +11[/tex] cannot be simplified further
Step-by-step explanation:
y=((3x+1)³)-², find dy/dx
$16,000 is invested for 3 years with an APR of 3% and daily compounding. The balance in the account after 3 years is
Answer:
$17,440
Step-by-step explanation:
the interest every year
=$16,000×3%
=$16,000×3/100
=$480
the balance after 3 years
=$16,000+3($480)
=$16,000+$1,440
=$17,440
A small pond contains 8 catfish and two bluegill. If eight fish are caught at random what is the probability that all of them are catfish
Geometry Question!!!
9514 1404 393
Answer:
12.5 cm
Step-by-step explanation:
Triangle IDA is a 3-4-5 right triangle with a scale factor of 5. That is, segment AI is 25 cm long. Since IS is half the length of the diagonal, it is ...
IS = (25 cm)/2
IS = 12.5 cm
__
If you like, you can work out the length of AI using the Pythagorean theorem:
AI² = DI² +DA²
AI = √(15² +20²) = √(225 +400) = √625 = 25
Please help before 7 min
Answer:
The Value of x = 23.1 unit
Step-by-step explanation:
Given:
Parallel line intersect
Find:
The value of "X"
Computation:
We know that given lines are parallels
So, by using Ratio theorem we can find the value of "x"
Ratio theorem of parallel lines say
AB / BC = AD / DE
So,
14 / 20 = x / 33
x = [14 x 33] / 20
The Value of x = 23.1 unit
Find the measurement indicated in each parallelogram.
1)
с
40°
D
E
Answer:
D=40
C=140
E=140
Step-by-step explanation:
opposite angles are congruent in parallelograms, so D is equal to 40. Also, the interior angles of any quadrilateral always equal 360, and because there are only 2 angles left that we don't know what they equal, if we add 40 to 40, which equals 80, and then subtract 80 from 360, we get 280, which we then divide by 2, to get 140 for C and E.
Find the area of the complex figure.
Answer:
1,863
Step-by-step explanation:
Determine whether
25m/
5
is equivalent to each of the following expressions.
Equivalent
Not equivalent
25m-1
252m-1
52m-1
Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given
[tex]\frac{25^m}{5}[/tex]
Required
Determine an equivalent or nonequivalent expression
[tex](a)\ 25^{m-1[/tex]
We have:
[tex]25^{m-1[/tex]
Apply law of indices
[tex]25^{m-1} = \frac{25^m}{25}[/tex]
This is not equivalent to [tex]\frac{25^m}{5}[/tex]
[tex](b)\ 25^{2m - 1}[/tex]
We have:
[tex]25^{2m - 1}[/tex]
Apply law of indices
[tex]25^{2m - 1} = \frac{25^{2m}}{25}[/tex]
This is not equivalent to [tex]\frac{25^m}{5}[/tex]
[tex](c)\ 5^{2m-1}[/tex]
We have:
[tex]5^{2m-1}[/tex]
Apply law of indices
[tex]5^{2m-1} = \frac{5^{2m}}{5^1}[/tex]
[tex]5^{2m-1} = \frac{5^{2m}}{5}[/tex]
Evaluate the numerator
[tex]5^{2m-1} = \frac{25m}{5}[/tex]
This is an equivalent expression
3
Select the correct answer from each drop-down menu.
A cross section is the intersection of a
✓ and a
Answer: three dimensional figure and plane.
Step-by-step explanation:
A cross section is the intersection between a (three dimensional figure) and also a (plane).
When an object is being cut straight, the shape that we get is referred to as the cross section. We should note that several parallel cross sections will be firmed when we cut a particular object into slices.
Find the area 5 3/4 x 9 3/4
Answer:
56.0625
Step-by-step explanation:
5 3/4x 9 3/4=56.0625
Answer:
Area = 7 km x 5 km = 35 km2 ... by either an addition, subtraction, or some other combination of operations to find the required area. ... ½ x base x height ½ x 9 x 4 = 18. Area of rectangle part: width x height 9 x 6 = 54.
Step-by-step explanation:
Please help I don’t understand it
I need a reason for both
9514 1404 393
Answer:
23) insufficient number of corresponding sides/angles
24) insufficient number of corresponding sides/angles
Step-by-step explanation:
In general, you need at least 3 corresponding parts to show triangle congruence. At least one of those must be a side. The attachment shows the ways triangles can be declared congruent. (HL works for right triangles, because we know the right angles are congruent to each other.)
__
23) A side is shown congruent (KL ≅ GH), and we know the vertical angles at J are congruent. However, we need another angle before we can declare the ∆GHJ congruent to anything. (One more side doesn't do it, because the two sides would not be on either side of the angle at J.)
Reason: insufficient data
__
24) A side is shown congruent (MP ≅ QS), and an angle is shown congruent (∠M ≅ ∠Q). As in the previous problem, we need at least one more angle, or we need to know that MN ≅ QR before we can declare the triangles congruent.
Reason: insufficient data
Tina walked her dog 12 blocks. This is twice the number of blocks she walked yesterday. How far did Tina walk her dog yesterday?
Answer: Hello, your Answer is Below ^^
Your Answer Is 6
Step-by-step explanation:
I Got the answer 6 Because 6 x 2 = 12
Tina Walked 12 blocks and Half of 12 Is 6
Hope this helps you!
Have a great Day!
~Rainbow~
Answer:
the correct answer is 6
Step-by-step explanation:
since twice = 2 you'll need to do 12 divided by 2
which is equal to 6.
or you can simply just think what number is twice in 12.
is X greater than less than or equal to 106 degrees
Answer:
Less
Step-by-step explanation:
Need help please help me
Answer:
9-8 = 1 and 7 times 2 = 14
Step-by-step explanation:
Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!
Answer:
Give brainly to other guy
Step-by-step explanation:he deserves it