(THIS IS NOT A TEST OR AN ASSESSMENT QUESTION)
Hugo averages 32 home runs per season with a standard deviation of 2.5. Jacob averages 27 home runs per season with a standard deviation of 1.6. Last season Hugo hit 36 home runs and Jacob hit 31 home runs. Who had more home runs relative to their usual seasonal average? Explain.
Answer:
Jacob had more home runs relative to his usual season average than Hugo did.
Step-by-step explanation:
The key solving this is to express their respective home runs in z-value forms.
Z = (x - ų)/óx
X = Current home runs
Ų = Mean
= Meanóx = Standard deviation
For Hugo,
X = Current home run = 31
Ų = Mean = 27
Óx = Stardard deviation = 1.6
Z = (x - ų)/óx
Z = (31 - 27)/1.6 = 2.5
Hope this helped!!!
The person who had more home runs relative to their usual seasonal average was Jacob.
Calculations and Parameters:Representing their home runs in z-value forms.
Where
Z = (x - ų)/óxX = Current home runsŲ = Mean= Meanóx = Standard deviation
To find the home run for Hugo,
X = Current home run = 31Ų = Mean = 27Óx = Stardard deviation = 1.6Therefore,
Z = (x - ų)/óx
Z = (31 - 27)/1.6
= 2.5
Hence, Jacob had the most home runs relative to their usual seasonal average.
Read more about standard deviation here:
https://brainly.com/question/12402189
pls helpp !!! ASAP i’ll give you the brainlest answer ONLY if the answer is correct!! BUT PLS HELP ME outt last minute
Answer:
10 is the right answer
Step-by-step explanation:
please mark me as brainliest answer
There are 64 pencils in a pack. Mr. Math is the only teacher to give out pencils on day one and
he gave out 33 pencils. The math department wanted to decide how many total pencils there
are left in the school. Using p for the number of cases of pencils and t(p) for total number of
pencils, write an equation to determine the total number of pencils?
Answer:
Step-by-step explanation:
0 1
3 3 ⟌ 6 4
- 0
6 4
- 3 3
3 1
What is the mean of these numbers?4,5,5,2,3,3,2,8
Answer:
4
Step-by-step explanation:
Mean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set. The mean value of the given data set is 4.
Given informationThe given numbers of the data set are,
4,5,5,2,3,3,2,8
Total numbers are 8.
MeanMean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set.
Mean is the ratio of the sum of all the terms of the set to the the number of terms in the set.
The mean can be calculated with the following formula,
[tex]\overline x=\dfrac{\sum x}{N} [/tex]
Here N is the total number of the values in the set.
Put the values in the above formula,
[tex]\overline x=\dfrac{4+5+5+2+3+3+2+8}{8} \\ \overline x=\dfrac{32}{8}\\ \overline x=4[/tex]
Hence the mean value of the given data set is 4.
Learn more about the mean here;
https://brainly.com/question/12513463
What are the next terms in the sequence 19, 36, 53,70
find the slope of this graph, I'll give you brainliest
if you dont know please dont answer
(no links please)
thanks in advance
Answer:
(-8,1) I think, I've been working on things like this In my classes so I think I'm right. But if I'm not don't get mad please!!
work out the circumference of this circle
give your answer in terms of pi
Answer:
37.68
Step-by-step explanation:
Well, the first thing first is to know the outline of the question. So I made sure I knew the diameter. In this case we didn't, so I multipilied 6 by 2 and got 12. Then I multipyed 12 by 3.14 to get 37.68
In a lumberjack competition, a contestant is blindfolded and then spun around 9 times. The contestant then immediately tries to hit a single point (the target) in the middle of a horizontal log with an axe (while still blindfolded). The contestant receives
15 points if their swing is within 3cm of the target.
10 points if their swing is between 3cm and 10cm of the target.
5 points if their swing is between 10cm and 20cm of the target
zero points if their swing is further away from the target (and someone may lose a finger!).
Let Y record the position of the hit, so that Y = y > 0 corresponds to missing the target point to the right by y cm and Y = - y < 0 corresponds to missing the target to the left by y cm. Assume that Y is normally distributed with mean mu = 0 and variance 100 cm^2. Find the expected number of points that the contestant wins.
Answer:
9.364 is the expected number of points.
we can approximate this to 10 points if we want a whole number
Step-by-step explanation:
We have these variables:
[0,5,10,15]
P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)
P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)
P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)
P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)
Z = y/10
Therefore
P(x= 0) = 2(y>20)
= 2p(z>2) = 2(1-p<=2)
= 2(1-0.9772)
= 0.0456
P(x= 5)
= 2p(10<=y<=20)
= 2p(1<=z<=2)
= 2(0.9772-0.8413)
= 0.2718
P(x= 10)
= 2p(3<=y<=10)
= 2p(0.3<=z<=1)
= 2(0.8413-0.6179)
= 0.4468
P(x = 15)
= P(0.6179-0.3821)
= 0.2358
To get expected value of Y
0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)
= 1.359 + 4.468 + 3.537
= 9.364
E[Y] = 9.364
What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters
Answer:
B. 40 meters
Step-by-step explanation:
there are 100 cm in a meter
we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.
4,000/100 = 40
Therefore, the answer is B. 40 meters
hope this helps :)
Hey guys can you guys help me thanks :)
Answer:
d
Step-by-step explanation:
60x9 =540
Help pls will give BRAINLY
Answer:
A. Mean
Step-by-step explanation:
The ratio of the vertical change to the horizontal change to any two points on a line is called _______ of the line
Answer:
The ratio of the vertical change to the horizontal change to any two points on a line is called ___slope___ of the line
Step-by-step explanation:
Slope will be your answer, hope this helps!
Solve similar triangles (advanced)
Solve for x
x=?
Answer:
x = 1.2
Step-by-step explanation:
AD/AB = DE/BC (Similarity Theorem)
AD = 6 + 4 = 10
AB = 6
DE = 2
BC = x
Plug in the values
10/6 = 2/x
Cross multiply
10*x = 2*6
10x = 12
Divide both sides by 10
x = 12/10
x = 1.2
Write an expression that is equivalent to 30(x + y + 1)
Is (4,3) a solution to the following system?
X-y=4
2x+y=5
(1 Point)
Yes
Οr
No
(Worth 10 points)
Answer:
No, it is not a solution
Step-by-step explanation:
Given
[tex]x - y = 4[/tex]
[tex]2x + y = 5[/tex]
Required
Is (4,3) a solution?
(4,3) implies that: [tex]x = 4\ y =3[/tex]
So:
[tex]x - y = 4[/tex]
[tex]4 - 3 = 4[/tex]
[tex]1 \ne 4[/tex]
Because 1 and 4 are not equal, then (4,3) is not a solution
find the area of this polygon - PLZZZZZ HELP I WILL GIVE 30 points T^T
Answer:
82 m should be correct i hope
Step-by-step explanation:
The second group of 20 squirrels of a different breed is placed on a different ranch. The population of squirrels triples each year. Write an equation to model this new situation.
Answer: send group
Step-by-step explanation:
use the expression (8x + 2) + (-9x + 7)
a. find the sum
b. explain how you know when to combine terms with variables
Question 8 of 10 A decrease in the amount of principal owed on a loan is called what? A. Note reduction B. Payment number C. Amortization O D. Unpaid balance
Answer:
A (Note Reduction)
Step-by-step explanation:
A p e x of course
Answer: note reduction
Step-by-step explanation:
A PE C
What is the average (arithmetic mean) of 2, 8, 9, and 9?
a) 5
b) 7
c8
c) 8
d) 9
Answer:
The answer is 7
Step-by-step explanation:
2+8+9+9÷4=7
An ecologist is examining whether the number of fish caught in a large river basin has changed since a fire burned some of the surrounding forested area and vegetation along the river. Data in the form of fishing reports was available for a five-year period before the fire. From a random sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6. In a random sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
Required:
What represents the standard error of the difference in the mean number of fish caught before and after the fire?
Answer:
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
Step-by-step explanation:
Subtraction of normal variables:
When we subtract two normal variables, the standard deviation is the square root of the sum of variances of each variable.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6.
The standard error for this sample is:
[tex]s_b = \frac{1.6}{\sqrt{195}} = 0.1246[/tex]
Sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.
The standard deviation for this sample is:
[tex]s_a = \frac{2.1}{\sqrt{143}} = 0.1756[/tex]
What represents the standard error of the difference in the mean number of fish caught before and after the fire?
[tex]s = \sqrt{s_a^2 + s_b^2} = \sqrt{0.1756^2 + 0.1246^2} = 0.2153[/tex]
The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.
Answer:
sqrt [ (1.6^2)/195 + (2.1^2)/143 ]
I need help please.
Answer:
B
Step-by-step explanation:
Put "Volume of a Cone" in your browser and all you have to do is type the height and radius.
Will mark brainlest Thanks
Answer:
the answer is d
Step-by-step explanation:
The three angles of triangle are in
the ratio 2:3:5. Calculate the size of
the smallest angle.
A. 90°
B.549
C.36
D. 30°
E. 20°
AN
D
♡
Answer:
E I think
..........hope this helps
Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS WILL GIVE BRAINLIST
Answer:
square root of 338 or 18.38
Step-by-step explanation:
since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38
what is the difference in hours and minutes between these times 10:35 2:40
Answer:
10:35
11:35
12:35
1:35
2:35
=Thats 4 hours
and then 40-35=5
So 4hours 5 minutes
Answer:
yeah
Step-by-step explanation:
im reply cause I want to ask a questionbx
I’m stuck on this one. Can any one help me?
3, and apparently its "too short of an answer on this website"
Write an emergency that could happen that would have a financial cost
Answer:
Your house burning down.
Step-by-step explanation:
You would have to pay to repair it.
Answer:
Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.
The building fire will make people lost their things and the building need to rebuild.
Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.
Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.
Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.
Blasting vehicle will make the things in the car lose. the car need to put the windows on again.
Terrorist attacks will lost lives more than lost money or other things.
Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.
That is all I can think of.
Broccoli cost 1.50 at a store. How much does 32 ounces of broccoli cost?
Answer:
48.00
Step-by-step explanation:
Answer:
48.0 hope it helps you out
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )