Answer:
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
Step-by-step explanation:
1) Formulate null and alternate hypothesis
H0: u1= u2 Ha: u1 ≠ u2
The null hypothesis is that the average salary of the Diamondbacks players does not differ from that of all players in the National League
against the claim
that the average salary of the Diamondbacks players differ from that of all players in the National League
The data given is
x1`= $2,308,488, s1= $3,427,508 and n1 = 27
x2`= $2,585,804, s2=$3,500,708 and n2 = 27
2) The test statistic is
z= x1-x2/ sqrt( σ1 ²/n1 + σ2²/n2)
Putting the values
z = $2,308,488- $2,585,804/ sqrt( 3,427,508²/27 + 3,500,708²/27)
z= -0.294
3) The significance level is 0.05
The critical region is Z =±1.96
4) Since the calculated value of z= -0.294 is less than the z ∝=±1.96 we do not reject H0.
5) the P-value can be calculated using the calculator.
The p-value is p = 0.7687
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 70 miles from the point and has a speed of 280 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing
Answer:
DL/dt = 1000 miles/hour
Step-by-step explanation:
Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.
Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes
Then according to Pithagoras´theorem:
L² = (AO)² + (BO)²
At the moment t when the airplanes are far away as 70 and 240 miles per hour
L² = (70)² + ( 240)²
L² = 4900 + 57600
L = √62500
L = 250 miles
In general
L² = x² + y²
That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:
L² = x² + y² where x and y are the legs ( that legs change in time then):
Tacking derivatives on both sides of the equation
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt
By substitution: since Dx/dt = 280 m/h and Dy/dt = 960 m/h
2*(250)*DL/dt = 2*70*280 + 2*(240)*960
500*DL/dt = 39200 + 460800
DL/dt = 500000/ 500
DL/dt = 1000 miles/hour
The two lines below are parallel. If the slope of the red line is 4, what is the slope of the green line?
Plz help me with this. Thank you!
Answer:
58 units
Step-by-step explanation:
[tex]7 \times 10 = 70[/tex]
[tex]6 \times 2 = 12[/tex]
[tex]70 - 12 = 58[/tex]
PLEASE PLEASE HELP Use the stem-and-leaf plot below to answer questions 1–3.
What is the range of data?
A. 40
B. 42
C. 54
D. 96
What is the median of the data?
A. 64.5
B. 72.5
C. 74.5
D. 75
What is the mode of the data?
A. 5
B. 70
C. 75
D. 88
Step-by-step explanation:
the range of data i think is c
mode is a.5
Write the equation that is the translation of y = |x|left 6 units and down 4 units.
y = |x-6|-4
y = |x+6|-4
y = |x-4|-6
y = |x+|-6
Answer:
y = |x-6|-4
Step-by-step explanation:
If the function is translated left 6, you subtract 6 from the x value. Then if you go down 4, you are subtracting 4 from the y value. Before going down, y = |x-6|. So subtract 4 from that and you get y = |x-6|-4.
Estimate the sum by rounding each number
to the nearest hundredth: 0.052 +0.028
A 0.06
B 0.08
0.09
D 0.07
Answer:
B is the answer to the question.
Step-by-step explanation:
pls help 25 points
If all the dimensions of a cube are increased by a factor of 4, how will the volume of the cube change?
increase by a factor of 12
increase by a factor of 16
increase by a factor of 8
increase by a factor of 64
pleaseeee helppppppp
Answer:
The answer is A [ 5(a + 6) ]
Step-by-step explanation:
Given the series 2 + two-thirds + StartFraction 4 Over 9 EndFraction + StartFraction 8 Over 27 EndFraction + StartFraction 16 Over 81 EndFraction + StartFraction 32 Over 243 EndFraction + ellipsis, which partial sums are correct? Check all that apply.
edge
Answer:
A and C
Step-by-step explanation:
Edge 2021
The partial sums are correct are Option A and Option C. That is: (2) and (28/9).
What is a partial sum?A partial sum (simply put) refers to the sum of the various parts that make up a sequence.
For example, in the above sequence given as:
2 + (2/3) + (4/9) + (8/27) + (16/81) + (32/243) + ...
A partial sum would be:
2 + (2/3).
In this case, thus,
Learn more about partial sums at:
https://brainly.com/question/17464148
#SPJ6
The function f is defined by the following rule
f(x)=3x-3
Complete the function table
x f(x)
-5
-1
1
2
4
Answer:-18
-6
0
3
9
Step-by-step explanation:
What is the area of this cross section of this rectangular prism? Enter your answer in the box.
10 in.
6 in.
16 in.
Answer:
16.
Step-by-step explanation:
Is there a picture?
25 PTS PLEASE HELP QUICK
(not related to the question but please add thx i want friends)
OK THX THE QUESTION IS BELOW
Answer:
-3
Step-by-step explanation:
just plug in the points on the line into y2-y1/x2-x1
URGENT NEED THIS DONE FAST LINKS WILL BE REPORTED
[tex]\pink{\bold{\underline{\underline{hello ♡}}}}[/tex]
Since 2x = 6, we have to divide each side by 2 to find x.
6÷2= 3
Our answer is 3.
1
Circle C has radius 5 and center C(6,-2).
Find the equation of circle C.
A (x + 6)2 + (y - 2)2 = 5
B (z - 6)2 + (y + 2)2 = 5
© (x+6)2 + (y - 2)2 = 25
D (z - 6)2 + (y + 2)2 = 25
What is the surface area?
4 ft
4 ft
4 ft
The surface area of what shape exactly?
Answer:
Hello! answer: 96Step-by-step explanation:
I'm assumung this is a cube sense cubes will equal the same for all 6 sides we just have to find 1 side then just multiply by 6 to get the answer easy peasy!!! so 4 × 4 = 16 and 16 × 6 = 96 so 96 is our surface area Hope that helps!
Need help ASAP!! WILL give Brainly!!! Need the full equation!! THANK YOU!!
Answer:
[tex]y = - \frac{6}{8}x - 3 [/tex]
PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Q7 Find the missing angle x
Answer:
Step-by-step explanation:
Thales theorem tells us that B is a 90
and therefore from W to o (center) is 45°
we know the total of the arc VoW is 98
180= 8x +1 + 45 +98
36 = 8x
4.5 = x
x = 4.5
72% of what number is 144? Answer please
Answer:
103.68
Step-by-step explanation:
Answer:
103.68
To solve you would convert the percent to decimal form .72.
Then divide by 144
.72/144=103.68
your answer is 103.68
A research firm needs to estimate within 3% the proportion of junior executives leaving large manufacturing companies within three years. A 0.95 degree of confidence is to be used. Several years ago, a study revealed that 35% of junior executives left their company within three years. To update this study, how many junior executives should be surveyed
Answer:
972 junior executives should be surveyed.
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 of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
35% of junior executives left their company within three years.
This means that [tex]\pi = 0.35[/tex]
0.95 = 95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
To update this study, how many junior executives should be surveyed?
Within 3% of the proportion, which means that this is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2[/tex]
[tex]n = 971.2[/tex]
Rounding up:
972 junior executives should be surveyed.
ANOTHER KHAN ACADEMY
Answer:
B
Step-by-step explanation:
True for all x.
What does an equal sign mean mathematically?
Answer:
It means that the both sides of the expression in the given equation must be/are congruent.
Hope this helps!
The school's computer lab goes through 3 reams of printer paper every 4 weeks. Find out how long 5 cases of printer paper is likely to last (a case of paper holds 8 reams
The 5 cases will last weeks
(Round to the nearest whole number as needed.
Answer:
53 weeks
Step-by-step explanation:
Given :
Reams of paper used :
3 reams = 4 Week
A case of 5 paper = 8 reams
Hence,
5 cases of paper = (8 * 5) = 40 reams
If :
3 reams = 4 weeks
40 reams = x
Cross multiply :
3x = 40 * 4
3x = 160
x = 160 / 3
x = 53. 333
Approximately 53 weeks (nearest whole number)
what is the x in x/5 +1 = 7
The regular quadrilateral pyramid has a base edge b=7 cm and the height of the pyramid h=12 cm. Find the volume of the pyramid.
Answer:
V=196 cm cubed
Step-by-step explanation:
Formula: 1/3 Base * Height
Base = 7*7 = 49
49 * 12 = 588
588 * 1/3 = 196
There you go :)
Which could be the function graphed below?
Answer:
The answer is f(x) =√x+4. It would be last one.
If f: R →R defined by f(x)=2−1/
5
be an invertible function, write f–1
(x)
Answer:
F(x)=x+C
Step-by-step explanation:
Find the function by taking the integral of the derivative.
4. What is the measure of angle ABD in the figure below?*
D
2x
A
B
с
Answer:
Measure of exterior angle ABD = 136°
Step-by-step explanation:
Given:
measure of ∠A = (2x + 2)°
measure of ∠C = (x + 4)°
measure of ∠B = x°
Find:
Measure of exterior angle ABD
Computation:
Using angles sum property
∠A + ∠B + ∠C = 180°
So,
(2x + 2) + (x + 4) + x = 180
4x + 6 = 180
4x = 176
x = 44
So,
measure of ∠B = x°
measure of ∠B = 44°
Measure of exterior angle ABD = 180 - measure of ∠B
Measure of exterior angle ABD = 180 - 44
Measure of exterior angle ABD = 136°
I NEED HELP MATH WIZZARDS! I’m very confused on this problem and I need help immediately!! I will mark brainlist!! Thanks
help please anyone. ty
Answer:
b
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Image might help