Hey there!
35 containers of paint
We simply divide 375 by 11, and we get 34.09..., but since we can't buy .09 of a container of paint, we can only by 35 containers of paint.
Hope it helps and have a good day!
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
(-1/2)•(-1/2)•(-1/2)
Answer:
[tex]-\frac{1}{8\\}[/tex]
Step-by-step explanation:
Break the equation into 2 pieces:
(-1/2)•(-1/2) = 1/4
1/4 • (-1/2) = -1/8
Answer:
-0.125
Step-by-step explanation:
Which shows all the values of x that make the rational expression 2x^2-72/5x^2-245 underlined
Answer:
7 and -7
Step-by-step explanation:
Correct question
Which shows all the values of x that make the rational expression 2x^2-72/5x^2-245 undefined
For the expression to be undefined, the denominator must be equal to zero
Hence 5x² - 245 =0
Add 245 to both sides
5x²-245+245 = 0+245
5x² = 245
x² = 245/5
x² = 49
x = ±√49
x =7 and -7
Hence the values of x that will make the function undefined are 7 and -7
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.
Find the percent change to the nearest whole percent. from 45 feet to 95 feet.
Answer:
211%
Step-by-step explanation:
To calculate the percentage change between these two numbers we need to divide the end result from the initial starting point. Once we do this we need to multiply the product by 100 to get the percentage value.
95 / 45 = 2.11111
2.11111 * 100 = 211.11%
Finally, we can see that the percentage change from 45 ft. to 95 ft. is 211.11%. If we round this to the nearest whole percent it would be a change of 211%
Which equation represents a line having a slop of 5/2 and a y intercept of (0,-4)?
Answer:
A
Step-by-step explanation:
Determine the number of unique triangles that can be made from the following.
For △DEF, ∠F= 50°, DE= 62, and DF=80
Answer:
No
Step-by-step explanation:
80+50+62 is not equal to 180
Which expressions are equivalent to -f-5(2f-3)?
Answer: - 11f + 15
Step-by-step explanation:
- f - 5(2f - 3)
= - f - 10f + 15
= - 11f + 15
plz add braniliest
Combine like terms to simplify
4y+ 6x-2y
Answer:
2y + 6x
Step-by-step explanation:
While Tina is shopping, she finds a pair of pants she wants to buy that is priced at $35 but is on sale for 60% off. What expression would you
use to find the total Tina will pay for the pair of pants?
Answer:
35x.40=14
Step-by-step explanation:
you multply $35 by .40 because that is the remaining cost from 60%
Sarah buys a shirt on sale at Jersey's. The original price was $28, but the shirt is on sale for 30% off. If there is a 5% sale tax, how much did Sarah pay for the shirt?
Answer:
$20.58
Step-by-step explanation:
28 x 0.30 = 8.4
28 - 8.4 = 19.6
19.6 x 0.05 = 0.98
19.6 + 0.98 = 20.58
75%, 9/10, 0.09 least to greatest
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:
PLEASE HELP!! IT IS DUE TODAY!!
Answer:
[tex]x=27[/tex]
Step-by-step explanation:
Well based on my knowledge, all the angles of a triangle adds up to 180°. ∠D looks pretty much adjacent to ∠A. I suppose that if what I'm thinking about, ∠D and ∠A being adjacent is correct, then this is what you have to do.
∠D = 2x
∠A = ∠D
That means that ∠A is 2x.
Since all angles of a triangle adds up to 180°, you have to add up the angles of ΔABD.
[tex]72+2x+2x=180\\\\72+4x=180[/tex]
Now you subtract 72 from both sides.
[tex]4x=108[/tex]
Then you divide 4 on both sides.
[tex]x=27[/tex]
So, the value of x is 27.
Sorry if this is wrong :(
Abi takes a job with a starting salary of $100,000 for the first year. She earns a 3% increase each year. To the nearest dollar, how much does Abi make over the first six years?
Answer:$646,841
Step-by-step explanation:explanation: I just took the edge quiz this is the answer
Answer:
c
Step-by-step explanation:
graphing an inequality gives you a visual model of a Solution true or false
Answer:
true ofc
Step-by-step explanation:
HELP URGENT WILL GIVE BRANILY PLEASE ANSWER
When you get home to plant the flowers, you have 3 different flowerbeds in which you plan on planting flowers. You have two flowerbeds where you want the same ratio for tulips to daffodils. In one of these flowerbeds you have 6 tulips and 8 daffodils. The other flowerbed you have 4 daffodils.
How many tulips should there be in the second flowerbed to have the same ratio of tulips and daffodils as the first flower bed?
How many total daffodils are used in these two flowerbeds?
Answer:
3 tulips, 12 daffodils
Step-by-step explanation:
tulips to daffodils= 6:8=3:4
x:4 = 3:4
8+4=12
you need 10 to have the same ratio
there are 24 daffodils in the two flowerbeds
What is the area of a rectangle that has a length of 1/4 inch and a width of 1/8 inch?
Answer:
1/4 * 1/8 = 1/32 inch
Step-by-step explanation:
1/4 * 1/8 = 1/32inch
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
Determine whether each equation represents a linear or nonlinear function.
Equation Linear Non - linear
y = 2x³ + 1 No Yes
y = 3x Yes No
y = x/5 Yes No
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = 2x³ + 1
For x = 1, 2, 3,
y = 2 + 1 = 3
y = 2 x 2³ + 1 = 2 x 8 + 1 = 17
y = 2 x 3³ + 1 = 2 x 27 + 1 = 54 + 1 = 55
The rate of change.
Between 3 and 17 = 17 - 3 = 14
Between 17 and 55= 55 - 17 = 38
This means the equation is not linear.
y = 3x
For x = 1, 2, 3,
y = 3 x 1 = 3
y = 3 x 2 = 6
y = 3 x 3 = 9
The rate of change.
Between 3 and 6 = 6 - 3 = 3
Between 6 and 9 = 9 - 6 = 3
This means the equation is linear.
y = x/5
For x = 1, 2, 3,
y = 1/5
y = 2/5
y = 3/5
The rate of change.
Between 1/5 and 2/5 = 2/5 - 1/5 = 1/5
Between 2/5 and 3/5= 3/5 - 2/5 = 1/5
This means the equation is linear.
Thus,
y = 2x³ + 1 is a linear equation.
y = 3x is not a linear equation.
y = x/5 is a linear equation.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
1) Which of the following equations has a solution of -4? Choose all that apply.
A) 4(x – 3) = -28
B) 7 = 3x + 11 – 8x + 4x
C) (2x – 16) =-6
D) 19x – 21 + 10 – 15x = -10
E) -17 = - -3(10 — 6x)
Plz help
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:
In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. What proportion of the cocktail is apple juice?
Give your answer as a fraction in its simplest form.
Answer:
The proportion of apple juice
[tex]p = \frac{3}{10} = 0.3[/tex]
Step-by-step explanation:
Given that fruit cocktail, for every 25ml of orange juice
Given that 30ml of apple juice
Given that 45ml of coconut milk
we need to find the proportion of apple juice
The proportion of apple juice
[tex]p = \frac{x^{-} }{n} \\ = \frac{30}{100} \\[/tex]
[tex]p = \frac{3}{10}[/tex]
The proportion of apple juice [tex]p = \frac{3}{10}[/tex]
what are the cordinates at the center of the circle (x-4)2+(y-5)2=36
Answer:
Here I labeled it
Step-by-step explanation:
Answer: Center: (4,0) Radius: 6
Step-by-step explanation:
Rewrite in standard form to find the center
Is the graph increasing, decreasing, or constant? O A. Constant O B. Decreasing O C. Increasing
Answer:
B
Step-by-step explanation:
Look at the line, it goes down, meaning a decrease in numbers.
QUESTION
Two trillion is how much more than seven hundred fifty billion.
Write the answer in scientific notation.
G(h)= -4h -5 Fill in g(3)
Answer:
G(3)=-17
Step-by-step explanation:
G(3)=-4(3)-5
=-12-5
=-17
PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!
Answer:4104
Step-by-step explanation:I think
Twice the difference between a number, x, and eighteen is three times the number.
Answer:
2(x-18)=3x
Step-by-step explanation:
hope this helps
Simplify 2 + 3/5x - 1 - 1/5x
Answer:
2/5x +1
Step-by-step explanation:
if you combine like terms you can check me to see if i'm right :) have a good day!