Answer:
(5,-8)
Step-by-step explanation:
if it is reflected across the X axis and this is in quadrant 3 that means if it was reflected it would fall in quadrant 2
In order to study the relationship between playing football and traumatic brain injuries, researchers placed accelerometers in the helmets of many high school football teams. Accelerometers measure the amount of hits that boys playing high school football absorb during a season. Suppose the average number of hits absorbed by a helmet during a season was 355 hits with a standard deviation of 80 hits. What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits
Answer:
56.96% probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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.
For a single player:
[tex]\mu = 355, \sigma = 80[/tex]
For the sample mean(of 48 playes).
[tex]n = 48, s = \frac{80}{\sqrt{48}} = 11.547[/tex]
What is the probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits?
This is the pvalue of Z when X = 360 subtracted by the pvalue of Z when X = 340. So
X = 360
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{360 - 355}{11.547}[/tex]
[tex]Z = 0.43[/tex]
[tex]Z = 0.43[/tex] has a pvalue of 0.6664
X = 340
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{340 - 355}{11.547}[/tex]
[tex]Z = -1.30[/tex]
[tex]Z = -1.30[/tex] has a pvalue of 0.0968
0.6664 - 0.0968 = 0.5696
56.96% probability on a randomly selected team of 48 players that the average number of head hits per player is between 340 and 360 hits
At a banquet 216 guests sit at 18 tables. Each table has the same number of guests. How many guests per table?
A. 8 guests per table
B. 12 guests per table
C. 18 guests per table
10 points. Need answer fast!.
How many different arrangements can be made with the letters from the word MATH?
A. 24
B. 6
C. 256
D. 8
Answer:
b
Step-by-step explanation:
YOU HAVE SAVED $5000 AND INVESTED IT AT A RATE 3.2% FOR 5 YEARS. WRITE AN EXPONENTIAL FUNCTION TO REPRESENT THIS SITUATION. HOW MUCH WILL VOU KAVE AFTER YEARS? HOW MUCH WILL A BILLIONAIRE HAVE IF HE INVESTS $1,000,000,000 AT THE SAME RATE FOR THE SAME AMOUNT OF TIME?
Answer:
5852.86 = 5000 (1+ .032)^5
1170572956 = 1,000,000,000(1+ .032)^5
Step-by-step explanation:
75%, 9/10, 0.09 least to greatest
Mrs. Hart went to get her nails done at the salon. The cost was $35.00. What is the total amount if tax is 6% and she wants to leave a 18% tip?
A. $24.00
B. $43.40
C. $8.40
D. $59.00
Answer:
B) $43.40
Step-by-step explanation:
For the tax, 6% of 35 = 2.1
So with tax = $35 + 2.1 = $37.1
18% tip
So, 18% of 35 = 6.3
So we are gonna add all the costs together = 37.1 + 6.3 = $43.40
Answer:
Answer:
B) $43.40
Step-by-step explanation:
For the tax, 6% of 35 = 2.1
So with tax = $35 + 2.1 = $37.1
18% tip
So, 18% of 35 = 6.3
So we are gonna add all the costs together = 37.1 + 6.3 = $43.40
Step-by-step explanation:
Which of the points is on a line with positive slope?
A
(-6, 1) and (-6, 9)
B
(2, 6) and (11, -3)
C
5, 0) and (8, 4)
D
(3, 4) and (-2, 12)
QUESTION
Two trillion is how much more than seven hundred fifty billion.
Write the answer in scientific notation.
A launch vehicle is designed to carry up to 35 tons of payload into orbit.
When fully fueled, it will contain 1,216,000 kg of liquid oxygen at a density
of 1,155 kg/m3. What is the total volume of liquefied gasses carried by the
launch vehicle, to the nearest tenth? *
0.0 m
1,052.8 m
102,340.4 m
140,448,000 m
Answer:
1,052.8 m
Step-by-step explanation:
You use the equation D=m/v. You know D 1155 and you know m 1,216,000. So you just solve for volume.
PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!
Answer:4104
Step-by-step explanation:I think
Donna deposits $275 into her savings account. She leaves the money in her account,
untouched, for 6 years. If the account earns 4.5% simple interest each year, how much simple
interest will she have earned by the end of the sixth year?
$7,425.00
$74.24
$206.25
$12.38
The simple interest earned by Donna by the end of the sixth year is $74.24
What is simple interest?Simple interest is the interest charge on borrowing that's calculated using an original principal amount only and an interest rate that never changes.
Given that, Donna deposits $275 into her savings account for 6 years, the account earns 4.5% simple interest each year,
We need to find the interest earned by the end of the sixth year
Simple Interest = PRT / 100
Where,
P = Principal ($275)
R = rate (4.5%)
T = time (6 years)
SI = 275 × 6 × 4.5 / 100
= 7425 / 100
= 74.25
Hence, the simple interest earned by Donna by the end of the sixth year is $74.24
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Write an expression to represent the perimeter of a rectangle with the length of x -4 and width of 2x +8.
Answer:
2(x-4) + 2(2x+8) OR long way (x-4) + (x-4) + (2x+8) + (2x+8)
Step-by-step explanation:
2(x-4) represents the (x-4) + (x-4) in the longer version since for perimeter you add the sides. Same thing for the other side, 2(2x+8) represents (2x+8) + (2x+8).
Not sure if you need the expression solved but here:
[tex]2(x-4) + 2(2x+8)\\(2x-8) + (4x+16)\\=6x+8[/tex]
To get from first line to second, use distributive property. To get from second to third line, combine like terms.
The perimeter of a rectangle with the length of (x - 4) and width of
(2x +8) will be (6x + 8).
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The length of rectangle = x - 4
The width of rectangle = 2x + 8
Now,
Since, The length of rectangle = x - 4
The width of rectangle = 2x + 8
We know that;
The perimeter of rectangle = 2 (Length + Width)
⇒ The perimeter of rectangle = 2 (x - 4 + 2x + 8)
⇒ The perimeter of rectangle = 2 (3x + 4)
⇒ The perimeter of rectangle = (6x + 8)
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 10
and DC= 7, what is the length of BC in simplest radical form? (Note: the figure is
not drawn to scale.)
Answer:
3
Step-by-step explanation:
The 2017 World Alma- nac and Book of Facts reported that the U.S. occupation projected to grow the most is personal care aide. By 2024 there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 lev- els. How many personal care aides were there in 2014
Answer:
There were 118,637 personal care aides in 2014.
Step-by-step explanation:
By 2024, there will be a need for 160,328 personal care aides, a growth of about 26% over 2014 levels.
This means that the 2014 levels is 100% - 26% = 74% of the 2024 levels.
Number of personal care aides in 2014:
74% of 160,320. So
0.74*160320 = 118,637
There were 118,637 personal care aides in 2014.
What reason can be used to complete this proof?
m∠1=m∠3 because ∠1≅∠3.
m∠1+m∠2=m∠CXB and m∠2+m∠3=m∠AXD _________.
m∠1+m∠2=m∠AXD because you can substitute m∠1 for m∠3.
m∠CXB=m∠AXD by the transitive property of equality.
So, ∠AXD≅∠CXB.
Answer:
Option (2)
Step-by-step explanation:
Given:
∠1 ≅ ∠3
To Prove:
∠AXD ≅ ∠CXB
Solution:
Given question is incomplete; find the complete question in the attachment.
Statements Reasons
1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3 1). Given
2). m∠1 + m∠2 = m∠CXB and
m∠2 + m∠3 = m∠AXD 2). Angle addition postulate
3). m∠1 + m∠2 = m∠AXD 3). Because you can substitute
m∠1 for m∠3
4). m∠CXB = m∠AXD 4).Transitive property of equality
5). ∠AXD ≅ ∠CXB
Therefore, Option (2) will be the correct option.
Any smart people want to help I stink at math !!
Answer:
I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Step-by-step explanation:
Answer:
Step-by-step explanation:
We know that
The cash cost is $4400.
She pays 10% down
The balance paid in 6
Monthly payment is $676
First , let's find the amount financed:
[tex]A=4400.\frac{90}{100} =3960[/tex]
The number of payments per year (n) are 6.
The time in years is half a year.(6 months)
The installment payment is $676.
The total amount paid is
[tex]676.6=4056[/tex]
Then, we subtract to obtain the finance charge
[tex]4056-3960=96[/tex]
Hence , the answer to (a) is $96, that's the finance charge
b) I need the table for doing that one
PLEASE MARK ME AS BRAINLIEST
convert 2/3 to it's decimal form and round to the nearest thounsandth
Answer:
0.67
Step-by-step explanation:
2/3=0.666 repeating which rounds up to 0.67
Answer:
0.67
Step-by-step explanation:
Two possible floor plans for a new bathroom are shown.
Is there a value for x for which the perimeters are equal?
What is the linear equations?
Answer:
Hope it works for u
Step-by-step explanation:
As we have given two shapes bathroom
square and rectangle
Parameter of square= sum of all the sides ( : In square all sides are equal
Parameter of square= 4*L = 4*(x+3) (:L=x+3
similarly,
In rectangle opposites sides are equal hence
Perimeter of rectangle= 2*length+2*width ( : length=x+4,width can't be seen clearly so I assume and take it width=x+1 hope this is equal to the width of ur question otherwise do the calculation by ur self).
Perimeter of rectangle= 2*(x+4)+2(x+1)
so now we have to find the value of "x" for which both perimeter are equal, so
perimeter of square= perimeter of rectangle
4*(x+3)=2*(x+4)+2(x+1) we can also write as
2(x+3)+2(x+3)=2(x+4)+2(x+1)This is the linear equation requirednow to find value of "x"simplify both sides, we get4x+12=4x+100≠2 so that not true and also there is no value of "x"for which both parameters become equal
so from my side "b" option is correctPlease brain-list it if u find it help-full it requires effort!
Answer: B option is correct. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.
explanation: I hope that was helpful!
HELP NOWWW!!
What is the quotient when 2 x 2 + 7 x – 15 is divided by 2 x – 3?
Answer:
yup 12
Step-by-step explanation:
HELP!!!!!!!
A falling object travels a distance given by the formula d=3t+5t2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 84 feet?
Answer:
Approximately 3.81 seconds
Step-by-step explanation:
d = 3t + 5t²
d = 84
84 = 3t + 5t²
3t + 5t² - 84 = 0
5t² + 3t - 84 = 0
5(t² + 3/5t - 84/5) = 0
5(((t + 3/10)² - 9/100) - 84/5) = 0
5((t + 3/10)² - 9/100 - 84/5) = 0
5((t + 3/10)² - 9/100 - 1680/100) = 0
5((t + 3/10)² - 1689/100) = 0
5(t + 3/10)² - 1689/20 = 0
5(t + 3/10)² = 1689/20
(t + 3/10)² = 1689/100
t + 3/10 = ±√(1689)/10
t = -3/10 ± √(1689)/10
t = -3/10 ± ≈41.1/10
t = -3/10 ± ≈4.11
t ≈ -0.3 ± 4.11
t [can only be positive] ≈ 4.11 - 0.3
t ≈ 3.81
A lion eats 462 pounds of food in a week.If the lion eats the same amount of food each day,how many pounds does a lion eat per day
Answer:
The lion eats 66 pounds of food per day
Step-by-step explanation:
The graph below represents a library fine, in dollars, for a book returned late after a number of days overdue.
A graph titled Library Fines. The horizontal axis shows days overdue and the vertical axis shows the fine (dollars). The line shows an increase to $10 at 19 days overdue, then constant.
Christen returned an overdue book to the library. Her fine was the same as the amount on the following day. Out of the fines show below, which one would be closet to the number of days overdue?
10
14
18
21
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
An event planner is reserving rooms for a company wide event. Each conference room can hold 22 people and 100 people are scheduled to stay in the ballroom, together they must hold 914 people who are attending, How many conference rooms will they need?
Answer:
37
Step-by-step explanation:
914-100=814
814/22=37
Find the measure of the smaller angle formed by the hands of a clock at the following time.
5:25
Answer: 12°30’
Step-by-step explanation:
18
8
X
12
What is the value of x?
Given f(x)=14(5−x)2 what is the value of f(11)?
Answer:
I was unsure about the way your question was written so I solved for two equations: f(x)=14(5-x)*2 and f(x)=14(5-x)+2
Step-by-step explanation:
Given f(x) = 14(5−x)², the value of f(11) = 504
The given function is:
f(x) = 14(5 - x)²
To get the value of f(11), substitute x = 11 into the function f(x) = 14(5 - x)²
f(11) = 14(5 - 11)²
Simplify the expression
f(11) = 14(-6)²
f(11) = 14(36)
f(11) = 504
Therefore, given f(x) = 14(5−x)², the value of f(11) = 504
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Is x = 6 a solution to the equation x + 13 = 18?
Answer:
No, the answer is 5
Answer: No the solution is 5
Step-by-step explanation:
When you substitute x with 6 you get 6+13= 18.
Obviously 6+13 is not 18 so this means that 6 is not a solution.
Hope this helps ;)
what is the answer of X
Answer: x = -5
Step-by-step explanation:
-3.4x - 9 = 8
+9 +9
-3.4x = 17
-3.4x ÷ -3.4 = x
17 ÷ -3.4 = -5
Nike is having a 20% off sale on all of their sneakers. If a pair of sneakers normally costs $89, how much will it be during the sale? *
Answer:
$71.20
Step-by-step explanation:
Multiply 89 to .2 and you get 17.8 then you subtract that from the originat cost.
Billy drove his car 290 miles in 5 hours. Sheila drove her car 132 miles in 2 hours. If each driver is traveling at a constant speed (in miles per hour), who is driving at a faster speed?
Answer:
Shelia is
Step-by-step explanation:
hope this helps plz mark brainlessly