Answer:
Step-by-step explanation:
The table can be computed as:
Advertising Expenses ($ million) Number of companies
25 up to 35 4
35 up to 45 19
45 up to 55 27
55 up to 65 16
65 up to 75 9
TOTAL 75
Let's find the probabilities first:
[tex]P(25 - 35) = P \Big(\dfrac{25-50.93}{10.80}<z< \dfrac{35-50.93}{10.80}\Big) \\ \\ =P \Big(\dfrac{-25.93}{10.80}<z< \dfrac{-15.93}{10.80}\Big) \\ \\ =P(-2.4009<z<-1.475) \\ \\ =(0.0694 -0.0082) \\ \\ =0.0612[/tex]
For 35 up to 45
[tex]P(35 - 45) = P \Big(\dfrac{35-50.93}{10.80}<z< \dfrac{45-50.93}{10.80}\Big)=P \Big(\dfrac{-15.93}{10.80}<z< \dfrac{-5.93}{10.80}\Big) \\ \\ =P(-1.475<z<-0.5491) \\ \\ =(0.2912 -0.0694) \\ \\ =0.2218[/tex]
For 45 up to 55
[tex]P(45 - 55) = P \Big(\dfrac{45-50.93}{10.80}<z< \dfrac{55-50.93}{10.80}\Big)=P \Big(\dfrac{-5.93}{10.80}<z< \dfrac{4.07}{10.80}\Big) \\ \\ =P(-0.5491<z<0.3769) \\ \\ =(0.6480 -0.2912) \\ \\ =0.3568[/tex]
For 55 up to 65
[tex]P(55 - 65) = P \Big(\dfrac{55-50.93}{10.80}<z< \dfrac{65-50.93}{10.80}\Big)=P \Big(\dfrac{4.07}{10.80}<z< \dfrac{14.07}{10.80}\Big) \\ \\=P(0.3768<z<1.3028) \\ \\ =(0.9032-0.6480) \\ \\ =0.2552[/tex]
For 65 up to 75
[tex]P(65 - 75) = P \Big(\dfrac{65-50.93}{10.80}<z< \dfrac{75-50.93}{10.80}\Big)=P \Big(\dfrac{14.07}{10.80}<z< \dfrac{24.07}{10.80}\Big) \\ \\ =P(1.3028<z<2.2287) \\ \\=(0.9871-0.9032) \\ \\ =0.0839[/tex]
Chi-Square Table can be computed as follows:
Expense No of Probabilities(P) Expe [tex](O-E)^2[/tex] [tex]\dfrac{(O-E)^2}{E}[/tex]
compa cted E (n*p)
nies (O)
25-35 4 0.0612 75*0.0612 = 4.59 0.3481 0.0758
35-45 19 0.2218 75*0.2218 = 16.635 5.5932 0.3362
45-55 27 0.3568 75*0.3568 = 26.76 0.0576 0.021
55-65 16 0.2552 75*0.2552 = 19.14 9.8596 0.5151
65-75 9 0.0839 75*0.0839 = 6.2925 7.331 1.1650
[tex]\sum \dfrac{(O-E)^2}{E}= 2.0492[/tex]
Using the Chi-square formula:
[tex]X^2 = \dfrac{(O-E)^2}{E} \\ \\ Chi-square \ X^2 = 2.0942[/tex]
Null hypothesis:
[tex]H_o: \text{The population of advertising expenses follows a normal distribution}[/tex]
Alternative hypothesis:
[tex]H_a: \text{The population of advertising expenses does not follows a normal distribution}[/tex]
Assume that:
[tex]\alpha = 0.02[/tex]
degree of freedom:
= n-1
= 5 -1
= 4
Critical value from [tex]X^2 = 11.667[/tex]
Decision rule: To reject [tex]H_o \ if \ X^2[/tex] test statistics is greater than [tex]X^2[/tex] tabulated.
Conclusion: Since [tex]X^2 = 2.0942[/tex] is less than critical value 11.667. Then we fail to reject [tex]H_o[/tex]
Tara had 1 5/8 pounds of dried nuts. She ate 1/4 pound of dried nuts each day for 6 days? How many pounds of dried nuts did Tara have left after 6 days?
Answer:
1/8
Step-by-step explanation:
its easy just count backwards by 2/8 each time
Find the value of x in the triangle shown below 8 10
Answer:
x = 6
Step-by-step explanation:
pythagorean theorem
a^2 = c^2 - b^2
a^2 = 10^2 - 8^2
a^2 = 100 - 64
a^2 = 36
sqrt a^2 = sqrt 36
a = 6
CHECK:
6^2 + 8^2 = 10^2
36 + 64 = 100
yes.
In Middletown, Main Street and Market Street are parallel to each other. Patrick Street intersects Market Street to form a 76° angle at the northeast corner, as shown in the figure below. What is the measure of the angle formed at the southeast corner of Main Street and Patrick Street? (Note: Each street is straight and has the same uniform width.)
I WILL GIVE OUT BRAINLIEST IF CORRECT!
A. 76°
B. 90°
C. 104°
D. 142°
E. 152° (NOT E)!
Answer:
e
Step-by-step explanation:
Answer
C
Step-by-step explanation:
76+104 is 180
Please help with these two problems don't rip me off I'm being generous.
Answer:
8 is $230
Step-by-step explanation:because there is a fee of $55 and $25 a week, the $55 is a one time charge and then $25 times 7 weeks is $175 then $55+$75 is $230
Les 2/3 de 9Litres ?
Answer:
6 litres
Step-by-step explanation:
9:3=3
2×3=6
therefore the answer is 6.
Which expression is equivalent to -6(3 + 4x)?
Answer:
A
Step-by-step explanation:
may I have brainllest
Answer:
A
Step-by-step explanation:
7 1/2 divided by 3/4
Answer:
2 2/3
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
First convert to mixed fractions 7 1/2-> 15/2
Then multiply by the reciprocal---> 15/2 x 4/3
The answer is 60/6
Then simplify---> 10/1 or 10
COLLEGE MATH! HARD!
NO LINKS OR YOU WILL BE REPORTED!!!!!!!!!
Find the formula for the function of the form w(x)= Asin(Bx)+C with an (i) a maximum (3,6),(i) a minimum at (-9,6), and (iii) no critical points between these two points
for each of the figures write an absolute value equation to satisfy the given solution set
5 and 17
Answer:
|x-11|=6
hope this helps
Step-by-step explanation:
A bike has a diameter of 10 in. What is the circumference of the wheel?
which of the following sequences of transformation maps MNO onto ABC?
Answer:
MNO no se estoy en 6th y no se pero esta es mi respuesta espero y me la saco bien
The sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given sequence of transformations is:
T(–2, 4) - translation by (-2, 4)
ry-axis - reflection across the y-axis
ry-axis - reflection across the y-axis
T(2, –4) - translation by (2, -4)
We can check whether this sequence of transformations maps triangle MNO onto M"N"O" by applying each transformation to the coordinates of triangle MNO in order:
T(–2, 4) maps M(5,-4) to M'(3,0), N(3,-2) to N'(1,2), and O(1,-3) to O'(-1,1).
ry-axis reflects M'(-3,0) to M"(-3,0), N'(1,2) to N"(-1,2), and O'(-1,1) to O"(1,1).
ry-axis reflects M"(-3,0) back to M"(-3,0), N"(-1,2) back to N"(-1,2), and O"(1,1) back to O"(1,1).
T(2, –4) maps M"(-3,0) to M'(-1,-4), N"(-1,2) to N"(1,-2), and O"(1,1) to O"(3,-3).
The resulting coordinates M'(-1,-4), N'(1,-2), and O'(3,-3) are the coordinates of triangle M"N"O".
Therefore, the given sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ2
What is the length of missing side Y Options are on photo
Answer:
The selected answer is correct (8 cm)
Step-by-step explanation:
So in this problem
we are given that the total length of the composite figure is 14 cm (this including the rectangle's length and the triangle's base length)
We also happen to be given the rectangles length
So we can find the triangles base length by subtracting the total length of the figure by the length of the rectangle
Triangle base length = 14 cm - 6 cm
14 - 6 = 8
Hence the answer is 8 cm
No
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A cube
side 4cm has the same
as a cone with diameter 7cm. calculate
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Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor's Bureau of Las Vegas wants to update this percentage. The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size?
Answer:
The necessary sample size is of 5683.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.
This means that [tex]\pi = 0.3[/tex]
The estimate is to be within 1% of the population proportion. What is the necessary sample size?
A sample size of n is necessary. n is found when [tex]M = 0.01[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.3*0.7}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.3*0.7}}{0.01})^2[/tex]
[tex]n = 5682.6[/tex]
Rounding up:
The necessary sample size is of 5683.
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
6/13
Step-by-step explanation:
Can anyone tell me what the answer please
What you're looking at in this image are two alternate exterior angles.
Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.
There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.
So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:
5x + 20 = 3x + 60
Subtract 20 from both sides:
5x + 20 - 20 = 3x + 60 - 20
5x = 3x + 40
Subtract 3x from both sides:
5x - 3x = 3x - 3x + 40
2x = 40
x = 20
If you have any questions on how I got to the answer, just ask!
- breezyツ
Which of the following equations represents a linear function
Answer:
its B
Step-by-step explanation:
please like my answer . brainliest please
Point L is located at (-3,-6) where is L after a reflection over the y-axis
9514 1404 393
Answer:
L'(3, -6)
Step-by-step explanation:
The reflection over the y-axis is modeled by the transformation ...
(x, y) ⇒ (-x, y)
L(-3, -6) ⇒ L'(3, -6)
Point L is located at (3, -6) after the reflection from the 3rd quadrant to the 4th quadrant across the y-axis.
How can I solve this quadratic using the square root properly?
Answer:
x = +3
Step-by-step explanation:
4x² = 36
sqareroot both side we get,
√4x² = √36
2x = 6
x = 6/2
x = +3
Thus, The answer is +3
-TheUnknownScientist
Answer:
4x^2 = 36
________ x^2 = 9. square root of 9
4. = 4. x = 3
Step-by-step explanation:
Divide both sides by 4 to isolate the square root.
So, you will end up with x^2 = 9
then take the square root of 9,
square root of 9 is 3.
So x = 3
The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.
3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7
Use the data to fill in the box-and-whisker plot below.
Answer:
I'm not your Slave
Step-by-step explanation:
do it yourself
ILL GIVE BRAINLYIST TO WHOEVER ANSWERS THIS RIGHTTT PLEASE HELP
Answer:
128
Step-by-step explanation:
Do 10*8=80
8*6=38 48/2=24
80+24+24
104+24
128
PLEASE HELP 25 POINTS
The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.
Which answer correctly identifies the elevations of both points on the map?
Point X= 1500m, Point Z= 2000m
Point X= 1550m, Point Z= 1600m
Point X= 1600m, Point Z= 2050m
Point X= 2050m, Point Z= 1600m
Answer:Point X= 1600m, Point Z= 2050m
Step-by-step explanation:
9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)
Answer:
Area, A = 63.6 square yards
Step-by-step explanation:
A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.
Let the height of a trapezoid be h.
Let the top base of a trapezoid be b1.
Let the bottom base of a trapezoid be b2.
[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]
Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]
Given the following data;
Length, b1 = 5 yards
Width, b2 = 5.6 yards
Height, h = 12 yard
To find the area of geometrical shape (trapezoid), we would use the above formula;
A = 1/2 (b1 + b2) * h
Substituting into the formula, we have;
A = ½ * (5 + 5.6) * 12
A = ½ * (10.6)*12
A = 5.3 * 12
Area, A = 63.6 square yards
Try to find this answer! Thank you!
HELP DUE ASAP PLEASE!! X.
Y.
10
3 4 5 6 7 8 9
SELECT ALL THAT APPLY for the box plots above.
the first quartile has a greater spread for box plot x than the spread in the first quartile for
box ploty
25% of the data is greater than 7.5 for box plot x and 50% greater for box ploty
the medians have the same value for both box plots
the median for box plot x has the same value as the lower quartile of box ploty
Answer:
D. The median for box plot X is the same as the lower quartile as box plot Y.
Step-by-step explanation:
If you look at box plot X, its median is at 6. Also, the lower quartile for box plot Y is 6 as well. That means that D. is the correct answer. Hope this helps!
Answer:
Below
Step-by-step explanation:
I'm pretty sure it may be B, and D
D because when you look at it X's plot does have the median line up with Y's Lower quartile
And using the rule of crossing out answers that are incorrect I am left with B, because the medians and different and X's lower quartile is smaller than Y's
Is the graph increasing, decreasing, or constant?
O A. Constant
B. Decreasing
C. Increasing
Answer:
Decreasing because the line is going down meaning it is decreae
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
8
х
Answer: x=10.25
Step-by-step explanation:
[tex]8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25[/tex]
How do I solve this quadratic using the square root property
Answer: x=2−2√3,2+2√3
Step-by-step explanation:
I know how to solve this problem
How do I solve this???
Answer:
Step-by-step explanation:
I will give Brainly plzzz ASAP
Answer:
Im pretty sure the answer would be 6
Step-by-step explanation:
Just take 42 and divide by 7 to get x
Answer:
did you finish this already