Pine trees and juniper trees are common to the San Bernardino
mountains. Pine trees have a mean height of 52 meters with a
standard deviation of 3 meters. Juniper trees have a mean
height of 22 meters with a standard deviation of 5 meters.
(a) At the base of a trail, there is a 48-meter-tall pine tree and a
33-meter-tall juniper tree. Calculate the Z-score for each of
these trees.
If necessary, round your answers to the nearest 2 decimal
places. Write both answers in the text box below.
Answer:
Z-score = 0.9450
Step-by-step explanation:
Step(i):-
mean height of pine tree (x₁⁻) = 52
standard deviation of pine tree σ₁ = 3
Mean height of Jupiter tree ((x₂⁻) = 22
standard deviation of Jupiter tree σ₂ = 5
Size of first sample n₁ = 48
size of second sample n₂ = 33
Step(ii):-
Z-score
[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{S.D^{2} }{n_{1} }+\frac{S.D^{2} }{n_{2} }} }[/tex]
[tex]Z = \frac{52 -22 }{\sqrt{\frac{3^{2} }{48 }+\frac{5^{2} }{33 }} }[/tex]
Z = 0.9450
What is the mode for the set of data? 6,7,10,12,12,13
10
12
13
11
6, b = 3 and c = 2:
2(a + b) – c = ______
Answer:
16
Step-by-step explanation:
2(6 + 3)-2
2x6=12 and 2x3=6
(12+6)-2
12+6=18
18-2=
16
I started swimming at 8am.
12
9
3
6
When I finished swimming, the minute hand of the clock had turned 360°
What time did I finish swimming?
Answer:
360° will be when the clock has passed an hour, e.g. from 12 to 12. One hour is 60 minutes from 12 to 12, your answer is 9am
Danny took a math test and got 35 correct and 10 incorrect answers. What was the percentage of the correct answers? (Round your answer the the nearest hundredth)
A student earned a grade of 80% on a math test that had20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)
Answer:
1. 78%
2. 16
Step-by-step explanation:
35 + 10 = 45
Danny got 35/45 answers correct.
Divide 35 into 45
35 ÷ 45 = .777777778
.777777778 ≈ .78
To convert a decimal to a percentage, move the decimal point two spaces behind.
.78 = 78%
Danny got 78% of the answers correct.
80% = .8 = [tex]\frac{8}{10}[/tex]
Multiply [tex]\frac{8}{10}[/tex] by 20 to get the answer
[tex]\frac{8}{10}[/tex] × [tex]\frac{20}{1}[/tex] = [tex]\frac{160}{10}[/tex]
Simplify
[tex]\frac{160}{10}[/tex] = 16
pls help me with the question?
Answer:
17 I'm pretty sure.
Step-by-step explanation:
Help please
1/4 (8x + 12y +16z)
Answer:
8+12+164
Step-by-step explanation:
A decrease of 250 attendees
Answer:
-250 attendees or you owe 250 attendees
Step-by-step explanation:
Decrease means negative or subtracting of something.
So a decrease of 250 attendees is -250
Molly had 6 or 33% robins in her yard. Does she need to find a percent, part or whole
Answer:eita moçaa
Stedssfsdsvbg´xclmvb´zdmfbhd
da
what does 3000+1000=
please help. image below
−5 −4 −3 −2 −1
0
1
2
3 4
5
Copyright © by Savvas Learning Company LLC. All Rights Reserved. 7
Name
Reteach to Build
Understanding
1-3
If you are adding two positive integers, the sum will be positive.
3 + 5 = 8
If you are adding two negative integers, the sum will be negative.
-3 + (-5) = -8
If you are adding a negative integer and a positive integer, find the difference of the
absolute values. The sum will have the sign of the addend with the greater absolute value.
-3 + 5 = 2
-3 6
5 , so the sum is positive.
Paula dives into a swimming pool from a diving board 2 feet above the
water’s surface. She descends to a depth 7 feet below the diving board.
How far is Paula from the surface of the water?
1. What integer represents Paula’s starting height above the water?
2. What integer represents the total distance Paula descends?
3. Write an addition expression to represent Paula’s distance below
the water’s surface.
4. On the number line below, the arrow represents Paula’s starting
height above the water. Draw an arrow to represent Paula’s dive
into the water. Where does your arrow end?
Answer: /21/7/3
Step-by-step explanation:
The table below shows the U.S. average life expectancy at birth, in years,
in various decades.
Years since
1930
Life
Expectancy at
Birth
10
62.9
68.2
20
69.7
30
70.8
40
73.7
50
75.4
60
77.0
70
80
78.7
Us
Answer:
the answer is c
Step-by-step explanation:
because all the other ones are wrong besides d and c and I did the math and it was c
Answer:the answer is d
Step-by-step explanation:
What implications can you draw based on the coefficient of variation from these two data sets?
Summary statistics for WEIGHT and HEIGHT (both ratio variables) of American adults in different units:
Weight Height
Mean 160 pounds 66 inches
SD 30 pounds 4 inches
You cannot compare these two data sets using a coefficient of variation because they are in different units
A. That both sets of data are equally variable.
B. That the weight data is more variable than the height data.
C. That the height data is more variable than the weight data.
Answer:
B. That the weight data is more variable than the height data.
Step-by-step explanation:
Given that :
_________ Weight _____ Height
Mean ___ 160 pounds ___ 66 inches
SD _____ 30 pounds ____ 4 inches
The Coefficient of variation is the ratio of the standard deviation and mean of a particular variable.
Weight in pounds :
Standard deviation in pounds / mean in pounds
30 / 160 = 0.1875
Height in inches :
Standard deviation in inches / mean in inches
4 / 66 = 0.060
0.1875 > 0.060
Hence, weight data is more variable than height data.
(GIVING BRAINLIEST!!)
Describe an example of how gravity acts on a falling object and one way an object can overcome gravity.
Answer:
when you drop a pencil it will fall to the ground when you are in space if you drop a pencil than if will float
Step-by-step explanation:
The graph below shows the hours students spent studying and their language arts test scores.
Hours Spent Studying vs. Language Arts Test Scores
A graph has hours spent studying on the x-axis and language arts test scores on the y-axis. A line goes through points (2.5, 60) and (5, 80).
Based on trend line on the graph, what is the expected test score for a student who did not study?
0.5
8
40
45
Answer:
cccc
Step-by-step explanation:
it is correct on edge
The expected test score for a student who did not study is 40.
Option C is the correct answer.
We have,
Given that the line on the graph passes through the points (2.5, 60) and (5, 80), we can use this information to estimate the expected test score for a student who did not study.
Let's calculate the slope of the line using the two given points:
Slope = (change in y)/(change in x)
= (80 - 60)/(5 - 2.5)
= 20/2.5
= 8
The slope of the line is 8, which indicates that for every additional hour spent studying, the test score increases by 8 points.
Since we are looking for the expected test score for a student who did not study (0 hours spent studying), we can substitute x = 0 into the equation of the line to find the corresponding y value (test score).
y = mx + b (where m is the slope and b is the y-intercept)
Using the given points, we can find the y-intercept (b) by substituting one of the points into the equation:
60 = 8(2.5) + b
60 = 20 + b
b = 60 - 20
b = 40
The equation of the line is y = 8x + 40.
Now, substitute x = 0 into the equation to find the expected test score:
y = 8(0) + 40
y = 0 + 40
y = 40
Thus,
The expected test score for a student who did not study is 40.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
What are the solutions to the following system?
-2x²+y=-5
y=-3x2+
Answer:
Simplifying
y = -0.4 + 0.6x
Step-by-step explanation:
You work for a landscaping company and need to purchase a new trailer. The original price of the model you are looking at is $1,799, but the trailer is currently on sale for 15% off.
A store buys a camera for $80 and decides to markup the price 35%. How much does the camera sell for?
Answer:
The camera is sold for $ 59.26.
Step-by-step explanation:
From the statement we understand that the new price of the camera ([tex]C'[/tex]) is calculated by:
[tex]C' = \frac{C_{o}}{\left(1+\frac{r}{100} \right)}[/tex] (1)
Where:
[tex]C'[/tex] - Price after increase, measured in US dollars.
[tex]r[/tex] - Increase rate, expressed in percentage.
If we know that [tex]C_{o} = 80\,USD[/tex] and [tex]r = 35[/tex], then the new price of the camera is:
[tex]C' = \frac{80\,USD}{1+\frac{35}{100} }[/tex]
[tex]C' = 59.26\,USD[/tex]
The camera is sold for $ 59.26.
which statement and reason are missing in the proof? A=A; reflexive
Answer:
a i guess there isnt a queston here
Step-by-step explanation:
Answer: hello there! the answer is a. <A ≅ <A; reflexive property, hope this helps :)
Step-by-step explanation: i just completed the unit practice test and got 100%
The angle that is an alternate interior angle with angle 1 is angle ?
Answer:
the alternate angle is angle 2
Answer:
2
Step-by-step explanation:
Alternate interior angles are two angles that are on opposite sides of the transverse and on the inner (interior) side of the two parallels.
solve
[tex] \frac{3x + 4}{2} = 9.5[/tex]
A number line going from negative 10 to positive 10. A point is at negative 6.
What is the opposite of the graphed integer?
The opposite is .
the answer is 6
your welcome!
lol
Answer:
6
Step-by-step explanation:
(●'◡'●)
Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund. If you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.) 4 months 6 months 10 months 11 months
Answer:
Answer is wrong
Step-by-step explanation:
Couldn't tell you how to get the answer I just know that when I got this answer wrong it told me the right answer.
In fact, most of the answers for this portion are wrong on here.
10. $1,201.33
11. $629.23
12. $7.74
13. $347.51
14. $3,753.78
15. 6
16. $25.24
17. $416.70
18. $2,903.67
19. $22.96
The speed limit is 35 mph
Which equation represents the statement?
[tex]a. \: s < 35[/tex]
[tex]b. \: s \leqslant 35[/tex]
[tex]c. \: s > 35[/tex]
[tex]d. \: s \geqslant 35[/tex]
Answer:
[tex] b.~~s \le 35 [/tex]
Step-by-step explanation:
The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.
Answer:
[tex] s \le 35 [/tex]
Write the constant term in 5a3b + 2ab2 + 3.
Answer:
the answer will be this
What does acosd mean?
Answer:
Y = acos( X ) returns the Inverse Cosine (cos-1) of the elements of X in radians. The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], acos(X) returns values in the interval [0, π].
Step-by-step explanation:
Write an equivalent expression using the commutative property of multiplication.
5 x (2 x 6) =
Answer:
2 x (5 x 6)
Step-by-step explanation:
When you switch the order around this way it comes out the same
5 x (2 x 6) -> 5 x (12) -> 60
2 x (5 x 6) -> 2 x (30)-> 60
help in dying please
Answer:
hello! :) i hope your having a wonderful day :)
Step-by-step explanation:
what is 2x + y = -14 in slope intercept form?
Answer:
y = -2x - 14
Step-by-step explanation:
Slope intercept form: y = mx + b
2x + y = - 14
y = -2x - 14