Answer:
As time increases, the amount of water in the pool decreases.
Step-by-step explanation:
A square has sides of 10cm. what is its area?
Answer:
100 cm²
Step-by-step explanation:
In a square
length of the sides (L) = 10 cm
Area of square (A) = L² = ( 10 ) ² = 100 cm²
Answer:
100cm^2
Step-by-step explanation:
10×10 is 100
so it's 100cm squared
6x + 2(3x – 9y + 5) + (-9)
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!
Answer:
NO
Step-by-step explanation:
The answer is no because the first column is 1 times 1 which is 1. The second column is 2 times 1 which is not 4. So this table is not proportional.
Please mark brainlliest if you want.
Suppose we want to estimate the average weight of an adult male in Mexico. We draw a random sample of 2,000 men from a population of 3,000,000 men and weigh them. We find that the average person in our sample weighs 200 pounds, and the standard deviation of the sample is 30 pounds. Calculate 94%,98%,96% confidence interval
Answer:
1.- CI = 94% ( μ₀ - 1,04 < x < μ₀ + 1,04 )
2.- CI = 98 % ( μ₀ - 2,05 < x < μ₀ + 2,05 )
3.- CI = 96 % ( μ₀ - 1,75 < x < μ₀ + 1,75 )
Step-by-step explanation:
Sample size n = 3000000
Sample mean x = 200
Standard deviation s = 30
From z-table values of z(c):
CI 94 % Confidencial level α = 6 % α = 0,06 z(c) = 1,55
CI 98 % Confidencial level α = 2 % α = 0,02 z(c) = 2,05
CI 96 % Confidencial level α = 4 % α = 0,04 z(c) = 1,75
MOE = z(c) * σ/√n
1.-MOE = 1,55* 30 / √2000 MOE = 1,04
2.-MOE = 2,05*30/√2000 MOE = 1,38
3.-MOE = 1,75*30/√2000 MOE = 1,17
Then CI
1.- CI = 94 % ( μ₀ - MOE < x < μ₀ - MOE )
CI = ( μ₀ - 1,04 < x < μ₀ + 1,04 )
2.-CI = 98 %
CI = ( μ₀ - 2,05 < x < μ₀ + 2,05 )
3.- CI = 96 %
CI = ( μ₀ - 1,75 < x < μ₀ + 1,75 )
Using the t-distribution, it is found that:
The 94% confidence interval is (198.73, 201.27).The 96% confidence interval is (198.61, 201.39).The 98% confidence interval is (198.43, 201.57).We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 200[/tex]. Sample standard deviation of [tex]s = 30[/tex]. Sample size of [tex]n = 2000[/tex].The interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which t is the critical value for the two-tailed confidence interval.Considering a 94% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 1.8916, hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 1.8916\frac{30}{\sqrt{2000}} = 198.73[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 1.8916\frac{30}{\sqrt{2000}} = 201.27[/tex]
The 94% confidence interval is (198.73, 201.27).
Considering a 96% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.0673, hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.0673\frac{30}{\sqrt{2000}} = 198.61[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.0673\frac{30}{\sqrt{2000}} = 201.39[/tex]
The 96% confidence interval is (198.61, 201.39).
Considering a 98% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.3452, hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.3452\frac{30}{\sqrt{2000}} = 198.43[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.3452\frac{30}{\sqrt{2000}} = 201.57[/tex]
The 98% confidence interval is (198.43, 201.57).
You can learn more about the use of the t-distribution to build a confidence interval at https://brainly.com/question/16162795
y = 5x-3
Given x = 9
y =
what is equivalent to 60% of 25
Which angle corresponds to the angle?
9514 1404 393
Answer:
C
Step-by-step explanation:
Corresponding angles are listed in the same order in the mapping statement.
C' is the third vertex named in A'B'C'D'. It corresponds to the third vertex named in ABCD, which is C.
angle C' corresponds to angle C
If m∠Y = 107° and m∠Z = 33°, what is m∠X?
(Start with the sum of the angles of a triangle
and work backwards.)
A. m∠X = 27° C. m∠X = 33°
B. m∠X = 40 D. m∠X = 120
Answer:
B would be the answer.
Step-by-step explanation:
Use what they said. All angles in a triangle would sum to 180 degrees.
So based on that, 107 + 33 + <x = 180
140 + <x = 180
<x would then be 40 degrees
Bacteria tend to grow very fast in a Petri dish at first because of unlimited food and then begin to die out due
to competition. In a certain culture, the number of bacteria is given by N(t)=-2°+92 +625, where !
represents the hours since 625 bacteria were introduced to the Petrì dish. Determine the maximum number
of hacteria that occur in the dish.
Answer:
6. Bacteria tend to grow very fast in a petri dish at first because of unlimited food and then begin to die out due
to competition. In a certain culture, the number of bacteria is givenby N(f) =1f +92t+.625' where /
represents the hours since 625 bac,teriawere introduced to the Petri dish. Determine the *={TlgX9"t
of bacteria that occur in the dish.
Step-by-step explanation:
t= -92/-2(2) =23
N (23) power 2 +92(23) + 625 =1628
my hands are paining by typing
please make me as brainleist
Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?
x squared over 8 plus y squared over 4 equals 1
x squared over 16 plus y squared over 4 equals 1
x squared over 8 minus y squared over 4 equals 1
x squared over 16 minus y squared over 4 equals 1
Answer:
x squared over 4 plus y squared over 8 equals 1
Step-by-step explanation:
The general equation of ellipse is given as;
(x²/a²) + (y²/b²) = 1
The coordinates of a foci are: (±c, 0) where;
c² = b² - a²
However, we know that equation of directrix is; x = ±a/e
Now, Directrix is given ±4
Thus, a/e = 4
a = 4e
We also know that c = ae from ellipse foci coordinates.
Thus, ae = 2
since ae = 2, then (4e)e = 2
4e² = 2
e² = 2/4
e = 1/2
Thus;
a = 4 × 1/2
a = 2
Since c² = b² - a²;
2² = b² - 2²
4 = b² - 4
b² = 8
From (x²/a²) + (y²/b²) = 1, we can put our values to get;
x²/4 + y²/8 = 1
What does (Y) equal?
2(5 + y) = 18
Answer:
y = 4
Step-by-step explanation:
distribute
10 + 2y = 18
minus 10 from both sides
2y = 8
divide by 2
y = 4
Answer: y=4
Step-by-step explanation:
2(5+y)=18
youre going to start by distributing the 2 to (5+y)
10+2y=18
then subract 10 from 18
2y=8
and then divide 2 on both sides
y=4
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.
A. 2 x ? = 7 1/2
B. 7 1/2 x ? = 2
C. 2 x 7 1/2 = ?
D. ? x 7 1/2 = 2
E. ? x 2 = 7 1/2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Step-by-step explanation:
7 [tex]\frac{1}{2}[/tex] ÷ 2
A. 2 × ? = 7[tex]\frac{1}{2}[/tex]
Divide 2 on both sides to bring all the constants on one side...
? = 7 1/2 ÷ 2
B. 7 1/2 x ? = 2
Divide 7 1/2 on both sides to isolate the ?
? = 2 ÷ 7 1/2
C. 2 x 7 1/2
You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2
D. ? x 7 1/2 = 2
Divide 7 1/2 on both sides
? = 2÷ 7 1/2
E. It's basically the same thing as A
Whatever is bolded is the answer
I hope this made sense and I hope this helps!!!
Please answer this correctly without making mistakes
Michelle has starting balance on a gift card for $300. She buys several dresses at $40 a piece.After her purchase she has $140 left on her gift card.How many dresses did she buy?
Answer:
4!
Step-by-step explanation:
40 x 4 = 160
160+ 140 = 300
Answer:
4 dresses
Step-by-step explanation:
If she starts with $300 and ends up with $140, that means that she spent $160. So, since each dress costs $40, you divided $160 by $40, which equals 4. So Michelle bought 4 dresses.
(hope this helps!)
can someone pls help me! thank you!
Answer:
6 hours
Step-by-step explanation:
she played game 25% of the time.
25% of 30 hours is 7.5 hours
she researched 5% of the time.
5% of 30 hours is 1.5 hours
so she played game 7.5-1.5=6 more hours than she researched
Solve the equation X-12/4=9
X=44
X=83
X=48
X=25
Answer:
X=48
Step-by-step explanation:
Which of the following is the product of the rational expressions shown
below?
3/x+7 x 4/x
Answer:
12/ x^2+7x
Step-by-step explanation: Took the test and got it right
The product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
The polynomial can be represented as:
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have polynomial:
[tex]\rm = \frac{3}{x+7}\times \frac{4}{x}[/tex]
[tex]=\rm \frac{3\times4}{x(x+7)}[/tex]
[tex]\rm = \frac{12}{x^2+7x}[/tex]
Thus, the product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.
Learn more about Polynomial here:
brainly.com/question/17822016
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help pls it’s due today
Answer:
first one is 3/12 and second one is8/ 12
Please help I will give you a brainliest
Answer: it is red
Step-by-step explanation:
With an increase in temperature, the particles move faster as they gain kinetic energy
c=5
9/5c +32=
9/5 × 5/1
45/5+32
9+32
c=41
Brushing up on skills but wasn't sure. May I have help, please? Thank you!
Correct.
9/5c+32
substitute c to 5
multiply 9/5 to 5
then add 32
Done
Tell whether x and y show direct variation. Explain your reasoning.
1. x + y = 6
2. y - x = 0
3. y/x = 20
4. x = y + 2
Answer:
a certain number that i do not know
Step-by-step explanation:
a certain number that i do not know
The Florida Panther can run at a rate of 35 miles per hour. How many miles can the panther run in 3 hours?
Answer:
105 miles in 3 hours
Step-by-step explanation:
Your Welcome
frances can complete 91 oil changes in 7 days How many oil changes can Frances complete in 11 days .
Answer:
143
Step-by-step explanation:
If y is 9, what is x?
Answer:
Ima just steal the points
Step-by-step explanation:
What are the coefficients for the binomial expansion of (p + q)6?
1, 8, 28, 56, 70, 56, 28, 8, 1
1, 6, 15, 20, 15, 6, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 4, 1
Step-by-step explanation:
Tr+1 = nCr * a^(n-r) * b^r.
Therefore the coefficients of the binomial expansion of (p + q)⁶ are 6C0, 6C1, 6C2, 6C3, 6C4, 6C5 and 6C6.
=> 1, 6, 15, 20, 15, 6, 1.
You can also look up Pascal's triangle which gives shortcuts in finding the coefficients for binomial expansions.
Eureka has 20 yo-yos she has two times as many yo-yos as Polly how many yo-yos does polly have?
Answer:
Polly has 10 yo-yos.
Step-by-step explanation:
Since Eureka has 20 yo-yos, and has twice as many yo-yos as Polly, to determine the number of yo-yos that Polly has it is necessary to perform the following equation:
Polly's Yo-yos = X
Eureka's Yo-yos = 2X
20 = 2X
20/2 = X
10 = X
Therefore, Polly has 10 Yo-yos, half the number Eureka has.
Answer:
10
Step-by-step explanation:
One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. a) Andrew did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded
Answer:
[tex]Probability = \frac{1}{792}[/tex]
Step-by-step explanation:
Given
[tex]Questions = 12[/tex]
[tex]Selection = 5[/tex]
Required
Probability of grading the selected 5 by Andrew
First, we need to determine the total number of selections.
This is calculated as: [tex]^{12}C_{5}[/tex]
Solving further:
[tex]^{12}C_{5} = \frac{12!}{(12-5)!5!}[/tex]
[tex]^{12}C_{5} = \frac{12!}{7!5!}[/tex]
[tex]^{12}C_{5} = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]
[tex]^{12}C_{5} = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]
[tex]^{12}C_{5} = \frac{95040}{120}[/tex]
[tex]^{12}C_{5} =792[/tex]
There is only 1 for Andrew's question selection.
So, the required probability is:
[tex]Probability = \frac{1}{792}[/tex]
April invests in an annually compounded account with an interest rate of 4.1%. After 6 years, she plans to have $8600 in her account. For this to be true, what must be her initial investment?
Answer:
d
Step-by-step explanation:
i think so
Answer:
Step-by-step explanation:
6758
Must round 6757.62 to nearest whole
On a certain hot summer's day, 195 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $383.75. How many children and how many adults swam at the public pool that day?
Answer:
3x-x+2=4
Step-by-step explanation:
Children = x
Adults = y
x + y = 754...1
1.50x + 2.25y = 1422...2
Multiply (1) by 2.25
2.25x + 2.25y = 1696.50...3
1.50x + 2.25y = 1422...2
Subtract (2) from (3)
0.75x = 274.50
x = 366
Substitute x = 366 in (1)
x + y = 754
366 + y = 754
y = 388
366 children and 388 adults swam at the pool.
Help! What does x equal???
Answer:
x = 20/9
Step-by-step explanation:
Step 1: Cross-multiply.
Step 2: Divide both sides by 3.
and you should get this :P
Answer: X=20/9
beacause x eqauls to 4/3 times 53/3