Which function is an example of exponential growth? y = 2(0.3)x y = 1.5(0.4)x y = 3(8)x y = 2(0.7)x
At a physics convention, 10 companies set up equal sized square booths in a row along one wall of the convention center. The booths are adjacent to each other and a 4-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 2300 ft2. What is the side length of each booth?
True or False: Every Student's t-distribution with n < N, n the number in the sample and N the number in the population, will be less peaked and have thinner tails.
The statement is false as the Student's t-distribution is actually more peaked and has thicker tails with smaller sample sizes, and it becomes similar to the standard normal distribution as the sample size, and consequently the degrees of freedom, increase.
Explanation:The statement that every Student's t-distribution with n < N, where n is the sample size and N is the population size, will be less peaked and have thinner tails is false. In reality, the t-distribution is more peaked and has thicker tails when the sample size is smaller, which happens due to the reduced degrees of freedom (df).
The shape of the Student's t-distribution is determined by the degrees of freedom, which is n - 1 for a sample size n. As n approaches the population size N, the t-distribution approaches the standard normal distribution. This is further supported by the central limit theorem, which states that as the sample size increases, the sampling distribution of the sample means tends to be normal. Therefore:
The statement in the question is false; the t-distribution becomes less peaked and has thicker tails as the degrees of freedom decrease.
Explanation:The Student's t-distribution is a probability distribution that is used when the sample size is small and the population standard deviation is unknown. It is similar to the standard normal distribution, but has thicker tails and less probability in the center. As the degrees of freedom increase, the t-distribution approaches the standard normal distribution. Therefore, the statement in the question is false. The t-distribution becomes less peaked and has thicker tails as the degrees of freedom decrease.
Solve the following system. 4x2 + 9y2 =72 x2 - y2 = 5 The solutions are (), (), (), and () (remember to include the commas) there has to be 4 solutions all ordered pairs please help
Answer: The required solutions are
[tex](x,y)=(3,2),~(-3,2),~(3,-2),~(-3, -2).[/tex]
Step-by-step explanation: We are given to solve the following system of equations:
[tex]4x^2+9y^2=72~~~~~~~~~~~~~~~~~~~~(i)\\\\x^2-y^2=5~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Let us consider that
[tex]x^2=a,~~~~~y^2=b.[/tex]
So, equations (i) and (ii) becomes
[tex]4a+9b=72~~~~~~~~~~~~~~~~(iii)\\\\a-b=5~~~~~~~~~~~~~~~~~~~~(iv)[/tex]
Multiplying equation (iv) by 4 and then subtracting from equation (iii), we get
[tex](4a+9b)-(4a-4b)=72-4\times 5\\\\\Rightarrow 4a+9b-4a+4b=72-20\\\\\Rightarrow 13b=52\\\\\Rightarrow b=4.[/tex]
From equation (iv), we get
[tex]a-b=5\\\\\Rightarrow a-4=5\\\\\Rightarrow a=9.[/tex]
Therefore,
[tex]a=9~~~~~\Rightarrow x^2=9~~~~~\Rightarrow x=\pm3,\\\\b=4~~~~~\Rightarrow y^2=4~~~~~\Rightarrow y=\pm2.[/tex]
Thus, the required solutions are
[tex](x,y)=(3,2),~(-3,2),~(3, -2),~(-3, -2).[/tex]
First right answer gets brain
You invest $300 in an account at 7.5% per year simple interest. How much will you have in the account at the beginning of the 11th year
By investing $300 at a 7.5% per year simple interest rate, the accrued interest over 11 years is $247.50. Adding this to the initial investment, the total in the account at the beginning of the 11th year will be $547.50.
To determine how much you will have in an account at the beginning of the 11th year with simple interest, you can use the formula for simple interest:
Simple Interest (I) = P × r × t
Where:
P is the principal amount ($300)r is the annual interest rate (7.5% or 0.075)t is the time in years (11 years)Let's calculate the simple interest first:
I = 300 × 0.075 × 11I = 247.50So, the interest earned over 11 years is $247.50. Now, add this to the principal amount to get the total amount in the account at the beginning of the 11th year:
Total Amount = Principal + Interest
Total Amount = 300 + 247.50
Total Amount = 547.50
given f(x)=6x+2 find f(x+3)
f(x+3) = 6x+20
What is a function?A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
f(x) = 6x+2
f(x+3) = 6(x+3) + 2
= 6x + 18 + 2
= 6x + 20
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I need help with #46!!!!
Remark
There are two formulas for doing this. I'll use the one that does not involve the slope. I think it will be easier for you to understand.
Step One
Decide which point is (x1,y1)
Since point P is 2/5 the way up from point A, we will call (x1,y1) point A
Step Two
Write the givens.
Point(A) = (-2,-3)
Point(B) = (3,2)
Step Three
Write the formula
x1 + ratio*(x2 - x1), y1 + ratio(y2 - y1)
Sub and solve.
-2 + 2/5 *(3 - - 2) , -3 + 2/5*(2 - -3)
-2 + 2/5(5) , - 3 + 2
-2 + 2 , - 1
P = (0 , - 1) <<<<<< Answer
If this turns out to be incorrect please notify me.
(k^3-8k^2+16k-5)/(k-5)
please use the "dividing polynomials format WILL GIVE BRAINIEST
if you do not use this format you will not become brainliest
On Ms. Smith's last math test, 60% of her 25 students earned an 83% or better. How many of Ms. Smith's students earned an 83% or better on the last math test? A. 17 B. 14 C. 20 D. 15
The answer is 15.
15 students earned an 83% or better on the last math test.
60% of 25 students means 60% * 25 = 15 students earned an 83% or better on Ms. Smith's last math test. Therefore, the answer is 15.
You are stacking books into a shipping box that is 15 inches high. Each book is 1.25 inches thick. How many books can you fit in a stack?
The following data points represent the number of chicken nuggets on each family member's plate. 1, 3, 0, 6? If the mean of the data set is 3 chicken nuggets, find the missing number of chicken nuggets.
The missing number of chicken nuggets will be 5.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
The following data points represent the number of chicken nuggets on each family member's plate.
1, 3, 0, 6, x
If the mean of the data set is 3 chicken nuggets. Then the missing number of chicken nuggets is calculated as,
3 = (1 + 3 + 0 + 6 + x) / 5
15 = 10 + x
x = 5
The missing number of chicken nuggets will be 5.
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which of the following describes the quotient of 2 and -12?
HELP PLEASE
What is the degree measure of the supplement of the complement of a 42-degree angle?
P = KT/V solve for k
we have
[tex]P=\frac{KT}{V}[/tex]
Solve for K means clear the variable K
so
Multiply both sides by [tex]V[/tex]
[tex]PV=V\frac{KT}{V}[/tex]
[tex]PV=KT[/tex]
Divide both sides by [tex]T[/tex]
[tex]PV/T=KT/T[/tex]
[tex]K=PV/T[/tex]
therefore
the answer is
[tex]K=PV/T[/tex]
A box of grass seed weighs .62 pounds. How much does a box containing .75 times as much grass seed weigh?
The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides? 4.0 cm 4.1 cm 5.6 cm 5.7 cm
The smallest possible length of one of the two congruent sides is 5.7 cm and this can be determined by using the Pythagorean theorem for an acute triangle.
Given :
The longest side of an acute isosceles triangle is 8 centimeters.
The following steps can be used in order to determine the smallest possible length of one of the two congruent sides:
Step 1 - The Pythagorean theorem for an acute triangle can be used in order to determine the smallest possible length of one of the two congruent sides.
Step 2 - Let the length of the smaller sides be 'a' and let the length of the larger side be 'b'.
Step 3 - According to the Pythagorean theorem for an acute triangle:
[tex]\rm H^2 < B^2+P^2[/tex]
where H is the hypotenuse, B is the base, and P is the perpendicular.
Step 4 - Substitute the values of the known terms in the above expression.
[tex]a^2+a^2>b^2[/tex]
[tex]2a^2>b^2[/tex]
Step 5 - Substitute the value of x in the above expression.
[tex]2a^2>8^2[/tex]
a > [tex]\sqrt{32}[/tex]
a > 5.6
Therefore, the correct option is D).
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Which of these shows 7 + 2y rewritten using the commutative property of addition?
7y + 2
2y + 7
7 − 2y
2y − 7
bets answer gets brainiest!!!!!
Triangle xyz is reflected across the y axis and x = 4,-5 what are the coordinates of x
Answer:
[tex]\tilde{x}=(-4,-5)[/tex]
Step-by-step explanation:
When we reflect a point [tex]P=(p_x,p_y)[/tex] over the y-axis, it's reflected to the point [tex]\tilde{P}[/tex] with the same y-coordinate as P and whose x-coordinate is minus the x-coordinate of P, hence
[tex]\tilde{P}=(-p_x,p_y).[/tex]
Therefore, in our particular case the point x=(4,-5) is reflected to the point
[tex]\tilde{x}=(-4,-5).[/tex]
A television costs $270.25 including 15% tax. How much of cost is the tax
Final answer:
The tax on the television is $35.25.
Explanation:
To find the amount of tax, we first need to determine the original cost of the television. Since the total cost, including tax, is $270.25, we can set up the equation:
$270.25 = x + 0.15x
Where x is the original cost of the television. Combining like terms, we get:
$270.25 = 1.15x
To solve for x, divide both sides of the equation by 1.15:
x = $270.25 ÷ 1.15
Using a calculator, we find that x is approximately $235.00. Therefore, the tax on the television is:
$270.25 - $235.00 = $35.25
which shows the factored form of x2-12x-45
Answer:
[tex](x+3)(x-15)[/tex] is the required factorized form of the given expression.
Step-by-step explanation:
The given equation is:
[tex]x^2-12x-45[/tex], we have to factorized this equation,
Upon solving the above equation, we get
⇒[tex]x^2-15x+3x-45[/tex]
⇒[tex]x(x-15)+3(x-15)[/tex]
⇒[tex](x+3)(x-15)[/tex]
which is the required factorized form of the given expression.
Tony misplaced 7 stamps from his collection. He knows that each stamp of his worth $0.15 and that the total value of them is now only $5.55. write an -EQUATION- to determine the number of stamps (s) that tony originally had.
In the equation y = 3x - 1 what is the value of y when x equals -3?
Just plug in -3 for x and solve
y= -10
I am a number between 30 and 50 . I am a multiple of 8. My greatest common factor with 25 is 5 what number am I ?
would you ever get a credit card from a company that would raise your rate even though you pay your credit card bills as agreed?
a.i don't mind throwing money away
b.i didn't now that credit card companies from one another
c.i didn't carefully shop for the right credit card company.
d.both b and c
what is the probability of flipping a coin 10 times and getting tails8 times? Round your answer to the nearest tenth of a percent
Answer:
4.4%
Step-by-step explanation:
How to solve 19-4c=17?
What is the coefficient of y in the expression 3 ⋅ 4 + 5y?
5
9
12
17
best answer will get brainiest!!!!!
Simplify by combining like terms: -18 + 3 (5x - 2) + 8
(Write the rate as a fraction, then find each unit rate.)
A wheel rotates through 1,800 degrees in 5 revolutions.
From the computation, the rate per revolution will be 360°.
From the information given, it was stated that the wheel rotates through 1,800 degrees in 5 revolutions.
Therefore, the rate per revolution will be:
= 1800/5
= 360°
Therefore, the rate per revolution is 360°.
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