Answer:
(x + 2)² +2 = 6(x + 2)² = 4√(x + 2)² = √4x + 2 = ± 2x = -2 ± 2x = -4, x = 0The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately how many students were enrolled at South High School in 2010?
A.About 10,985 students
B.About 9,552 students
C.About 5,366 students
D.About 5,740 students
Answer: A.
Step-by-step explanation:
Answer:
A (10,985)
Step-by-step explanation:
y= 1,350(1+0.15)^15
1,350 is the student =a
0.15 which originally was 15% is the rate. =r
^15 is the time because 1995 to 2010 took 15 years. =t
The equation I use for this question:
y=a(1+r)^t a.k.a Exponential growth formula
In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth?
The probability that a randomly selected student from the all-boys school will be shorter than 63 inches tall is approximately 0.9%.
To find the probability that a randomly selected student will be shorter than 63 inches tall, we need to use the standard normal distribution table or a statistical calculator.
Calculate the z-score for the value of 63 inches using the formula:
z = (X - μ) / σ
where X is the value (63 inches), μ is the mean (70 inches), and σ is the standard deviation (3 inches).
z = (63 - 70) / 3
z = -7 / 3
z = -2.3333
Now, we look up the area to the left of the z-score -2.3333 in the standard normal distribution table.
Using a standard normal distribution table, the cumulative probability for z = -2.33 (rounded to two decimal places) is approximately 0.009.
So, the probability that a randomly selected student will be shorter than 63 inches tall is approximately 0.009 or 0.9% (rounded to the nearest thousandth).
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2.5 dividido en 45.5
Answer:
18.2
Step-by-step explanation:
45.5/2.5 = 18.2
PLEASE HELP ASAP!!! will mark brainlest!
please answer it would rly help me out
Will mark brainliest please help ASAP Complete the square to find the vertex of this parabola x^2-14x+4y+29=0
Answer:
(7,5)
Step-by-step explanation:
8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.
Answer:
$2539.47
10.18722679 (make sure you round this)
Step-by-step explanation:
a.)
Equation for compound interest:
[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]
which rounds to
2539.47
b.)
using the same equation we can write
[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]
not sure how to round this, so I'll leave that part up to you
can i get the answer and the explination on how to do this plz? thank uuu =) NO LINKS PLZ
Answer:
The answer is 94.5
Step-by-step:
This is actually quite simple. Although, in order to do this you will need a calculator. First, you identify which trigonomic function you will use in order to find the value of x. for this problem you need to use the COS function. The equation for this is COS67= 67/x. Because you are trying to find x you would multiply each side by x. now the equation is xCOS67= 67. because you still can't find the value of x by doing this you will need to get x by itself. To get x by itself divide each side by COS67. the equation is now x= 94/ COS67. This is where the calculator comes in. On the calculator enter 94 divided by 67 then COS function. This gives you the measure of RS.
Explain how to factor the following:
16x^2 – 40x – 24
Answer: (x-3)(2x+1)(8)
Step-by-step explanation: First factor out the 8 to get (8)(2x^2-5x-3). So now we have what number multiply out to -6 (ab) and add up to -5. -2 and -3 work out so we manipulate the equation like (8)(2x²-2x-3x-3). Factor out 2x in the first term and -3 in the second and keep going.
Antoine buys 8 caramel apples for 20.00. Each caramel apple costs the same amount. What is the cost, in dollars, per caramel apple?
Answer:
2.5 per Caramel apple , just divide it , I hope that's correct and I'm sorry if it's not.
Answer:
2 dollars
Step-by-step explanation:
Perimeter, Area, and Volume
What is the volume of a
rectangular prism that has a
height of 6 inches, a length
of 2 inches, and a width of 7
inches?
Answer:
84
Step-by-step explanation:
LengthxWidthxHeight.
6x2x7=84
Which has a different answer? A. 7 + 2 - 4 , B. 2 + 7 - 4 , C. 7 - 4 + 2 , D. 4 + 7 - 2
Answer:
d) 4 + 7 - 2
Step-by-step explanation:
7 + 2 - 4 = 5
2 + 7 - 4 = 5
7 - 4 + 2 = 5
4 + 7 - 2 = 9
Answer:
Step-by-step explanation:
4+7=2
A professor surveys students regarding personality as an example of
Answer:
Convenience sampling.
Step-by-step explanation:
Convenience sampling can be understood as a type of sampling that occurs when there is high availability of the population to be investigated.
This method incurs several criticisms because it is not a sampling method that reflects the reality of a population, but convenience sampling can be advantageous due to the speed with which the data are collected and the research initiated, thus being a method recommended for pilot tests.
When Mayerlin goes bowling, her scores are normally distributed with a mean of 175 and a standard deviation of 13. Using the empirical rule, what percentage of the games that Mayerlin bowls does she score between 162 and 188?
Answer:
68%
Step-by-step explanation:
The Empirical rule formula is given as:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Where
μ is the population mean
σ is the population standard deviation.
Step 1
Find the number of standard deviations from the mean
μ - xσ and μ + xσ
μ = 175
σ = 13
For 162
175 - 13x = 162
175 - 162 = 13x
13 = 13x
x = 13/13
x = 1
For 188
175 + 13x = 188
13x = 188 - 175
13x = 13
x = 13/13
x = 1
Hence, the data falls with 1 standard deviation of the mean
Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%
Answer:
The answer is 68%
Step-by-step explanation:
Josh is a car salesman. He gets an annual salary of $45,000 plus a commission, C, of $250 for every car he sells. Which equation represents Josh's total annual salary, S?
A. S=45,000+250C
B.S=45,000−250C
C. S=45,000C+250
D. S=45,000C−250
In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
simplify 5x+ 1 2 +3y+ 1 4 +2x−2y
Answer:
7x + y + 26
Step-by-step explanation:
5x+ 1 2 +3y+ 1 4 +2x−2y
5x + 2x + 3y - 2y + 12 + 14
7x + y + 26
can an ace help me now plss
Answer:
Graph B
Step-by-step explanation:
[tex]y = x^2[/tex] is a quadradic function. It graphs as a parabola. It has a vertex point of (0,0) and it opens upwards.
See the graph attached.
Hope this helps.
Find the length of line segment x.
A) 16
B) 17
C) 18
D) 19
Answer:
x=17
Step-by-step explanation:
you have to use the 2 secants rule
8(8+13) = 7(7+x) distribute in parenthesis
64+ 104 = 49 +7x isolate variable
64+104-49 = 7x combine like terms
119 =7x divide both sides by 7
17 =x
Select the correct answer.
The daily high temperature of Elk Creek drops by 1.2°C every day. What is the net change in the daily high temperature after two calendar weeks?
Answer: the correct answer is 16.8°C.
Step-by-step explanation:
Answer:
-16.8
the number is in the negatives because the temperature is dropping
I hope this helps
classify the pair of angles shown.
Answer:
complementary angle
Step-by-step explanation:
hope this helps u
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HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
What is the answer to this?-
Answer:
Yes it is congruent by HL
Nicole rolls a six-sided die. What is the probability that Nicole will roll an odd number?
A.1/2
B.5/6
C.1/6
D.4/6
Two different banks, Bank A and Bank B, offer accounts with exactly the same annual interest rate of 6.85%. However, the account from Bank A has interest compounded monthly, whereas the account from Bank B compounds interest continuously. To decide which bank to open an account with, you calculate the amount of interest you would earn after three years from an initial deposit of $5000 in each bank’s account. How much interest would you earn from each account? Which bank’s account earns more – and how much more?
Answer:
Solution given:
For bank A.
rate[R]=6.85%
principal [P]=$5000
time [T]=3years
now since simple interest is given by this bank
we have
Simple interest=PTR/100
=5000×6.85×3/100=$1027.5
For bank B
rate[R]=6.85%
principal [P]=$5000
time [T]=3years
now since compound interest is given by this bank
we have
compound interest=P((1+R/100)^T-1)
=$5000((1+6.85/100)³-1)=$1099.49
since
Bank B gives more interest .more amount is
1099.49-1027.5=$71.99 or $72
please help someone, no BOTS
Answer:
[tex]3 \times \frac{4}{9} p + 5[/tex]
Which exponential expressions are equivalent to the one below? Check all that apply.
Answer: The answer is B,C, and D
Step-by-step explanation:
Mr. Tran is teaching his daughter vowels. He placed sets of cards into two separate bags. What is the probability that his daughter will draw out a vowel from each bags? Answer in percentage.
Answer: bag 1 40%
bag 2 25%
i think hope it helped
Step-by-step explanation:
Rewrite the function, differentiate, and then simplify
y= 3/√x
Answer:
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]