PLEASE HELP!!!!!!!!!!!!!!!!!!

Find the perimeter of the figure to the nearest hundredth.

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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The family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

To compare the box of cereal price we need to know the price per ounce first. It can be written as

Price per ounce = price /  total ounces

From the text above, we know that :

large size price = $3.34

large size ounces = 15

family size price = $5.14

family size ounces = 24

By substituting the parameter we can get the price per ounce of large size and family size

Large size

Price per ounce = price /  total ounces

Price per ounce = 3.34 / 15

Price per ounce = $0.22 / ounce

Family size

Price per ounce = price /  total ounces

Price per ounce = 5.14 / 24

Price per ounce = $0.21 / ounce

Hence, the family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.

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Answer:

at the picture or the a b c d ?

Sorry, but can you post a picture? Can't tell what the answers are :/

Answer:

A. True

Step-by-step explanation:

When you reduce \(\frac{2}{4}\), you would get \(\frac{1}{2}\)

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Solution

1) The volume of a cone.

The volume of a cylinder = 36

What is the relationship between the volume of the cone and the volume of the cylinder? (Answer: The cone takes up one-third of the volume of the cylinder.)

2) Volume of a sphere

The relation between the volume of sphere and the volume of cylinder is that the volume of the sphere is two-third of the volume of the cylinder with a height equal to the diameter of the sphere and the same radius.

Final answer

The expression \(32\times0.5^{3x}\) as a power of 2 in terms of 'x' is \(2^5\times2^{-6x}\)

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression \(32\times0.5^{3x}\).

\(= 2^5\times\frac{1}{4^{3x}}\).

\(= 2^5\times\frac{1}{2^{6x}}\).

\(= 2^5\times2^{-6x}\).

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Answer:

C.

Step-by-step explanation:

Complementary pairs add up to 90 degrees.

24+66=90.

34+56=90.

Answer:

9.43398113206...

Step-by-step explanation:

Answer:

9.4

Step-by-step explanation:

√89 = 9.433981132

rounded - 9.4

Answer:

1760 yards

1 mile = 1760 yards. The symbol is "mi".

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

30×1.20

30×120/100

3×12/1

36

Answer:

1.8 seconds

Step-by-step explanation:

The function S(t) = -15t^(5/3) + C which we get by integration of S'(t) and the company  will continue to manufacture this computer for approximately 5.47 months.

To find S(t), we need to integrate the given rate of decline, S'(t), with respect to time (t). We have:

S'(t) = -25t^(2/3)

Integrating both sides with respect to t, we get:

S(t) = ∫(-25t^(2/3) dt)

Using the power rule for integration, we obtain:

S(t) = (-25 * (3/5) * t^(5/3)) + C
S(t) = -15t^(5/3) + C

Now, we're given that at t = 0, S(0) = 2,050 computers. We can use this information to find the constant of integration, C:

S(0) = -15(0)^(5/3) + C
2,050 = C

Thus, the function for the monthly sales is:

S(t) = -15t^(5/3) + 2,050

The company will stop manufacturing when S(t) = 1,000 computers. To find when this occurs, we'll set S(t) equal to 1,000 and solve for t:

1,000 = -15t^(5/3) + 2,050
-1,050 = -15t^(5/3)

Now, isolate t^(5/3) and solve for t:

t^(5/3) = 1,050 / 15
t^(5/3) = 70

Take the cube root of both sides:

t^(5/3)^(3/5) = 70^(3/5)
t = 70^(3/5)

Calculating this value, we get approximately:

t ≈ 5.47

So, the company will continue to manufacture this computer for approximately 5.47 months.

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Answer:

V = π*r^2*h/3

the formula not sure which answer represent that

117.29 ft^3

Step-by-step explanation:

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires the function to be continuous on a closed interval and differentiable on an open interval, which is not satisfied by f(x) = tan x in the interval (0, π).

To show that f(0) = f(π), we evaluate the tangent function at these points. At x = 0, tan(0) = 0, and at x = π, tan(π) = 0. Therefore, f(0) = f(π).

To investigate whether there exists a number c in the interval (0, π) such that f'(c) = 0, we need to find the derivative of f(x). The derivative of tan x is given by f'(x) = sec² x. However, the secant squared function is never equal to zero. Therefore, there is no c in the interval (0, π) where f'(c) = 0.

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires certain conditions to be met. First, the function must be continuous on the closed interval [a, b], which is not satisfied by f(x) = tan x since it is not defined at x = π/2. Second, the function must be differentiable on the open interval (a, b), but f'(x) = sec^2 x is not defined at x = π/2. Thus, the requirements of Rolle's Theorem are not fulfilled, and its conclusion does not apply to f(x) = tan x in the interval (0, π).

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Answer:

~1.96 m/s

Step-by-step explanation:

55 / 28 meters per second. Distance / velocity = acceleration

The acceleration of the body is 7.23 m/s²

What is Newton's 1st law of motion ?

A body in motion will remains in motion and a body at rest remains at rest until any external force is applied on it.

In the given question it is given that the car is travelling at some initial velocity u of 28m/s and it come to rest after applying break that is final velocity v equals zero and the distance travelled by the car s is 55m.

Now using 3nd equation of motion to find the acceleration of car :

\(\begin{aligned}v^{2}&=u^{2}+2as\\0^2&=28^2+2a\cdot55\\a&=\frac{-28^2}{2\cdot55}\\&\approx 7.13 \text{ m/s}^2\end{aligned}\)

therefore, the acceleration of the body is 7.23 m/s²

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Answer: 70

Step-by-step explanation: 90-18/3=84

84 - 14 =  70

70 + 14 = 84

A) The mean of the continuously compounded rate of return earned over a one-year period can be calculated using the formula: μ = ln(1 + R), where R is the annual rate of return.

Solving for R, we get: R = e^μ - 1
Substituting the given values, we get: R = e^0.17 - 1 = 0.1876 or 18.8% (rounded to the nearest tenth)
The standard deviation of the continuously compounded rate of return can be calculated using the formula:
σ_R = σ * sqrt(t), where t is the time period (in years).

Substituting the given values, we get: σ_R = 0.37 * sqrt(1) = 0.37 or 37% (rounded to the nearest tenth)

B) To construct a 95% confidence interval for the continuously compounded rate of return, we can use the formula:
CI = R ± z * (σ_R / sqrt(n)), where CI is the confidence interval, z is the critical value from the standard normal distribution for a 95% confidence level (which is 1.96), and n is the sample size (which is assumed to be large in the BSM model).
Substituting the given values, we get: CI = 0.188 ± 1.96 * (0.37 / sqrt(1)) = 0.188 ± 0.724
The 95% confidence interval is from 11.6% (0.188 - 0.724) to 24.0% (0.188 + 0.724), rounded to the nearest tenth.

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The solution to the equation "16 more than s is at most -80" in interval notation is (-∞, -96].

To solve the equation "16 more than s is at most -80," we need to translate the given statement into an algebraic expression and then solve for s.

Let's break down the given statement:

"16 more than s" can be translated as s + 16.

"is at most -80" means the expression s + 16 is less than or equal to -80.

Combining these translations, we have:

s + 16 ≤ -80

To solve for s, we subtract 16 from both sides of the inequality:

s + 16 - 16 ≤ -80 - 16

s ≤ -96

The solution for s is s ≤ -96. However, since the inequality includes "at most," we use a closed interval notation to indicate that s can be equal to -96 as well. Therefore, the solution in interval notation is (-∞, -96].

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The first polynomial has 2 incongruent roots modulo 13, and the second polynomial has 0 incongruent roots modulo 13.

To find the number of incongruent roots modulo 13 for the given polynomials, we will examine them separately.

For the polynomial \(x^2 + 3x + 2\), we can test each possible value of x (0 to 12) to check for roots modulo 13. After testing, we find that x=4 and x=9 are roots, as they satisfy the equation\((4^2 + 3*4 + 2)\) ≡ 0 (mod 13) and \((9^2 + 3*9 + 2)\) ≡ 0 (mod 13).

Therefore, there are 2 incongruent roots modulo 13 for this polynomial.

For the polynomial \(x^4 + x^2 + x + 1\), we again test each possible value of x (0 to 12) modulo 13. In this case, we find no values of x satisfying the equation\(x^4 + x^2 + x + 1\) ≡ 0 (mod 13). Thus, there are 0 incongruent roots modulo 13 for this polynomial.

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Based on the calculations,  the value of x is equal to $31.

Given the following data:

To determine the value of x:

In this exercise, you're required to solve for the unknown variable (x). Thus, we would sum up the amount of money saved by Debra and Quinton and equate it to the total amount of money saved as follows:

\(Total \;savings = D+Q\)

Substituting the given parameters into the formula, we have;

\(286 = 5x+4+4x+3\\\\286 = 9x+7\\\\9x=286-7\\\\9x=279\\\\x=\frac{279}{9}\)

x = $31

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\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{h}{3}~~,~~\underset{k}{1})} \qquad \stackrel{radius}{\underset{r}{2}} \\\\[-0.35em] ~\dotfill\\\\( ~~ x - 3 ~~ )^2 ~~ + ~~ ( ~~ y-1 ~~ )^2~~ = ~~2^2\implies (x -3)^2 + (y -1)^2 = 4 \\\\\\ (x^2-6x+9)+(y^2-2y+1)=4\implies x^2-6x+y^2-2y+10=4 \\\\\\ ~\hfill~ {\Large \begin{array}{llll} x^2-6x+y^2-2y+6=0 \end{array}} ~\hfill~\)

Answer:

positive nonlinear

Step-by-step explanation:

the plots go up, but its not a line. it is a curve. therefore, it is Positive NON linear.

Daniella's graph is the first from the left and Kayla's is the other. Kayla's walk can be represented as ; d = 2t

Given that after 3 seconds:

This shows that the speed at which Daniela walked is faster than that of Kayla. Hence, the line with the steepest slope represents Daniela's movement.

Hence, Daniela's graph is the first from the left while Kayla's is the other.

2.)

Kayla's walk can be expressed mathematically as :

d = 6 feets ; t = 3 seconds

Walking speed = distance/ time

Walking speed = 6/3 = 2 ft/sec

Hence, Kayla's walk ;

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Answer:

p - 13 = 20

Step-by-step explanation:

p - 13 = 20

add 13 on both sides

p = 33

there were 33 pizzas in the library.

Answer:

p=13+20? or addition

Step-by-step explanation:its inverse operation i think that's what its called so use addition

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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Answer:

I am only a 7th grader so I will probably get this incorrect but I think the correct answer is A.

Step-by-step explanation:

Answer: y=5/4x+13

Step-by-step explanation:

Slope-intercept form:

y= mx+b

Where x and y are the points, m is the slope, and b is the y-intercept.

Plug in the points to find the y-intercept.

-5= 5/4(-8)+b

Solve.

-5= 2.25(-8)+b

Combine like terms.

-5=-18+b

Add 18 on both sides.

13= b

Now you have the y-intercept. Plug in every point except the x and y, because you wouldn't be able to graph it if you had just numbers. (not that you have to; that is just the correct form)

y=5/4x+13