i need help with this question please

Answer:

\(n=35\)

Step-by-step explanation:

From the question we are told that:

Standard Deviation \(\sigma=4min\)

Let

\(CI=95\%\)

Since

Significance level \(\alpha\)

\(\alpha =1-CI\)

\(\alpha =1-0.95\)

Therefore

\(Z_{\alpha/2}=Z_{0.025\)

\(Z_{\alpha/2}}=1.96\)

Generally the equation for Sample size is mathematically given by

\(n = (Z_{\alpha/2}* \frac{\sigma}{E})^2\)

\(n= \frac{1.96 * 3}{1}^2\)

\(n=35\)

Answer:

I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y

Step-by-step explanation:

Solve by simplifying both sides of the equation, then isolating the variable.

B is the assertion that captures the final behavior of the function f(x) = 3|x 7| 7. As x moves closer to zero, f(x) moves closer to positive infinity.

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate

From the question,

\(f(x) = 3|x − 7| − 7\\when x = -101\\then, f(x) = 3|-101 − 7| − 7\\f(x) = 3|-108| − 7\\\)

f(x) = 3 × 108 − 7

f(x) = 324 -7

\(f(x) = 317\\Also, when x = -3000\\then, f(x) = 3|-3000- 7| - 7\\f(x) = 3|-3007| - 7\\f(x) = 3 × 3007 - 7\\\)

f(x) = 9021 - 7

f(x) = 9014

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Answer:

Hello,

\(\boxed{Answer: 75}\)

Step-by-step explanation:

x,y integers, x,y >0 ,x≠y

\(\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\\)

\(\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\\begin{array}{|c|c|c|c|}y-18&y&x&x+y\\---&---&---&---\\1&19&18+324=342&362\\2&20&18+162=180&200\\3&21&126&147\\4&22&99&121\\6&24&108&132\\12&30&45&75\\18&36&36&72\\\end{array}\\\\\\\boxed{Answer: 75}\\\\\)

The chi-square test allows us to determine whether the difference between the predicted and observed distributions of grades on the final exam is significant or not. This can help us understand the effectiveness of the teacher's prediction and identify any factors that may have influenced the actual distribution.

To answer this question, we can use the chi-square test, which measures the difference between observed and expected frequencies. In this case, the expected frequencies are based on the teacher's prediction, while the observed frequencies come from the actual distribution in Table 11.28.

The chi-square test involves calculating a test statistic, which measures the degree of difference between the observed and expected frequencies. This test statistic follows a chi-square distribution, which we can use to calculate a p-value. The p-value tells us the probability of getting a test statistic as extreme or more extreme than the one we calculated, assuming that the null hypothesis is true.

In this case, the null hypothesis is that there is no significant difference between the predicted and observed distributions. If the p-value is less than a chosen significance level (e.g., 0.05), we reject the null hypothesis and conclude that the difference is significant.

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Answer:

3

Step-by-step explan4ation:

Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

Answer:

c=5

Step-by-step explanation:

2c²-20c+50=0 (Divide by 2)

c²-10c+25=0 (Use formula a²-2ab+b²=(a-b)²

(c-5)²=0 (Set the base to 0)

c-5=0

c=5

The product of three consecutive positive integers is always divisible by 6.

We can prove this statement using mathematical induction. The statement we want to prove is that the product of three consecutive positive integers is divisible by 6. To do this, we will use the induction hypothesis:

Let P(n) be the statement: The product of three consecutive positive integers starting with n is divisible by 6.

We will prove that P(n) is true for all natural numbers n.

Base Case: Let n = 1. Then the product of the three consecutive positive integers (1, 2, 3) is 6, which is divisible by 6. Therefore, P(1) is true.

Inductive Step: Assume that P(k) is true, where k is any natural number. We will now prove that P(k + 1) is also true.

The three consecutive positive integers starting with k + 1 are k + 1, k + 2, and k + 3. We can then rewrite the product of these three consecutive positive integers as follows:

(k + 1)(k + 2)(k + 3) = k3 + 3k2 + 6k + 6.

Since we assumed that P(k) is true, we know that k3 + 3k2 + 6k is divisible by 6. Therefore, the entire expression k3 + 3k2 + 6k + 6 is also divisible by 6. Since 6 is also added to this expression, we know that the product of three consecutive positive integers starting with k + 1 is divisible by 6. Therefore, P(k + 1) is true.

Since we have proven the base case and the inductive step, we have proven the statement for all natural numbers n. Therefore, the product of three consecutive positive integers is always divisible by 6.

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Answer:

20

Step-by-step explanation:

Those angles are the same so you can put them in an equation like this:

x + 60 = 4x

Then you subtract x from both sides to get variables on one side and constants on the other:

60 = 3x

Now divide by three to find what just x is:

20 = x

And there you go <3

The upper Darboux integral as \($\frac{1}{4}b^4$\)and the lower Darboux integral is 0.

The upper Darboux integral of a function f(x) on the interval [a,b] is defined as the supremum of the sums of the form

\($\sum_{i=1}^n M_i(x_i - x_{i-1})$\)where\($M_i$\) is the supremum of f(x) over the ith subinterval\($[x_{i-1}, x_i]$\)

Similarly, the lower Darboux integral is defined as the infimum of the same sums with the infimum of f(x) over each subinterval. For the function f(x) =\( x^3\)

On the interval [0, b), we can see that the function is increasing and therefore its maximum value on each subinterval is achieved at the right endpoint. Thus, the upper Darboux integral is given by

\($\int_0^b f(x)dx\)  \sup\limits_{\mathcal{P}} \sum_=

\({i=1}^n\)\(M_i(x_i - x_{i-1})\) = \(lim_{|\mathcal{P}|\rightarrow 0} \sum_{i=1}^n f(x_i^)(x_i - x_{i-1}) \)\({i=1}^n\)

where $\mathcal{P}$ is a partition of [0,b] and $|\mathcal{P}|$ is the norm of the partition. Since $f(x) = \(x^3$\)

is continuous on [0,b), we can apply Exercise 1.3 and Example 1 from chapter 1 to show that the limit above equals

f(x)= \(lim_{|\mathcal{P}|\rightarrow 0}\)\(sum_{i=1}^n (x_i^*)^3(x_i - x_{i-1})\) = \(\frac{1}{4}b^4$\)

Similarly, the lower Darboux integral can be computed using the left endpoint of each subinterval to get\($\int_0^b \)f(x)dx = \( \inf\limits_{\mathcal{P}} \sum_{i=1}^n\)\(m_i(x_i - x_{i-1})\) =\( \lim_{|\mathcal{P}|\rightarrow 0} \sum_{i=1}^n (x_{i-1}^*)^3(x_i - x_{i-1}) = 0$\)

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The triangle's third side will measure 6.71 units in length.

According to the Pythagorean theorem, two squares added together equal the square of the longest side.

The Pythagoras theorem's equation is as follows:

H² = P² + B²

The triangle's third side will be the following length:

Let x represent the triangle's third side's length. Next, we have

9² = 6² + x²

81 = 36 + x²

x² = 45

x = 6.708

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Answer:

X = 0, 5 1/2

Step-by-step explanation:

I can’t see what’s befor the 1

Answer:

not exactly sure what is being asked butttt i think it's 90

Step-by-step explanation:

The value οf x is 3

A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.

A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.

Given

8x+17 = 41

Sοlving fοr variable 'x'

Add '-17' tο each side.

17 + -17 + 8x = 41 + -17

Or, 8x=24

Divide each side by '8'

Or, x=3

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Answer:

-11q+1

Step by Step Explanation:

7-6-2q-9q

1-2q-9q

1-11q= -11q+1

Answer:

infinite number of solutions

Step-by-step explanation:

8 + 2(x - 6) = - 2 + 2x - 2 ← distribute parenthesis on left side and simplify

8 + 2x - 12 = 2x - 4

2x - 4 = 2x - 4

since the expressions on both sides are the same then any value of x will make the equation true, that is

the equation has an infinite number of solutions.

Answer:

it will grow by 1.44 people

Step-by-step explanation:

Answer:

960 gram of chocolate

Step-by-step explanation:

40gram of chocolate * 24 biscuits

Answer:

0.47..................

Step-by-step explanation:

..........

The most predictable effect of Earth's axis being perpendicular to the line between the Sun and Earth would be the absence of seasonal variations.

The tilt of Earth's axis is what causes the change in seasons as different parts of the planet receive varying amounts of sunlight throughout the year. If Earth's axis were to become perpendicular to the line between the Sun and Earth, the planet would no longer experience these seasonal variations. This means that the climate would become more consistent throughout the year, with less temperature variation between different regions. Without the tilt, the equator would receive the same amount of sunlight year-round, leading to a relatively stable climate with minimal temperature fluctuations. The regions closer to the poles, which currently experience more pronounced seasons, would see a reduction in temperature extremes.

Additionally, the absence of a tilted axis would also affect the length of daylight hours. Currently, as Earth orbits the Sun, different parts of the planet experience longer or shorter days. However, with a perpendicular axis, there would be equal amounts of daylight and darkness across all latitudes throughout the year. This would have significant implications for ecosystems, as organisms rely on daylight and darkness cues for various biological processes such as migration, reproduction, and growth.

Overall, the most predictable effect of Earth's axis being perpendicular to the line between the Sun and Earth would be the loss of seasonal variations and the establishment of a more consistent climate throughout the year, with equal daylight hours across all latitudes.

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Answer:

m/4 = 3x - 30

Step-by-step explanation:

Hello!

Let's subtract the second equation from the first equation:

Now, solve for m.

Multiply both sides by 12 to get rid of the denominators

Plug in 12x - 120 for m in m/4

The value of m/4 is 3x - 30.

Answer:

half of 30

Step-by-step explanation:

19 - 4 = 15

24 - 9 = 15

The height of package is 34 inches.

According to the statement

we have given that the perimeter of cylinderical package is 123 inches.

and we have to find the volume of this package.

So,

According to the perimeter

2(Pi)r + h = 123

and then

h = 123 - 2(Pi)r

then the volume become

V = (Pi) r^2h

V= (Pi) r^2 * [ 123 - 2(Pi)r ] = 123 (Pi) r^2  - 2(Pi)r^3

then differentiate it

dV/dr = 246(Pi) r - 6(Pi)r^2

Now take

r(246(Pi) - 6(Pi)r) = 0

then neglect r=0 and then find another value of r.

r = 246(Pi) / 6(pi)

here r=41 then

h = 123 - 2(Pi)r

h = 123 - 2(3.14)41

h = 123 - 2(Pi)r

Then put the value of r then h = 34 inches.

So, The height of package is 34 inches.

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Answer:

708π in³ = 2224.25 in.³

Step-by-step explanation:

The composite solid is made up of a cone, a cylinder, and a half sphere.

Recall the volume formulas:

cone: πr²h/3

cylinder: πr²h

sphere: 4πr³/3

half sphere: (1/2) × 4πr³/3

We need to find teh heoght of the cone. The slant height is 10 in. The radius is 6 in. We can use the Pythaogorean theorem to find the height of the cone.

h = √(10² - 6²) = 8

total volume = π(6 in.)²(8 in.)/3 + π(6 in.)²(13 in.) + (1/2) × 4π(6 in.)³/3

total volume = π(96 in.³ + 468 in.³ + 144 in.³)

total volume = 708π in³ = 2224.25 in.³

Answer:

Brainliest or Else!

Step-by-step explanation:

Answer:

2(3(8))+2(8)=64

Step-by-step explanation:

Here, w represents the width of the rectangle,

∵ length of the rectangle is 3 times the width of the rectangle,

So, length = 3w,

Since, the perimeter of a rectangle, P = 2(length + width)

= 2(w + 3w)

= 2w + 2(3w)

If P = 64 feet,

⇒ 2w +2(3w) = 64

⇒ 2w + 6w = 64

⇒ 8w = 64

⇒ w = 8

Verification :

P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet

Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64

Note : a solution obtain from an equation is verified by substituting the value in the equation.

Answer:

64 - C

Step-by-step explanation:

The simplified expression using rational numbers is 82.25.

First, let's start by defining what a rational number is. A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. For example, 2/3, 5, and -7/2 are all rational numbers.

Now, let's simplify the expression using rational numbers. We can start by simplifying (5.5)² and 9(5.5)².

(5.5)² is equal to 30.25, which is a rational number because it can be expressed as 121/4.

9(5.5)² is equal to 9 times 30.25, which is equal to 272.25. This is also a rational number because it can be expressed as 109/4.

Next, let's simplify √5.75. To do this, we need to express the square root as a rational number. We can do this by rationalizing the denominator.

To rationalize the denominator, we multiply both the numerator and denominator of the expression by the conjugate of the denominator. In this case, the conjugate of √5.75 is √5.75.

So, 5.75√ can be simplified as follows:

5.75√ = 5.75√5.75/√5.75

= 5.75√5.75/5.75

= √5.75

Now, we can rewrite the expression as:

(121/4) + √5.75 + (109/4) + 5.75 + 9

Combining like terms, we get:

(121/4) + (109/4) + 15.75 + 9

Simplifying further, we get:

(230/4) + 15.75 + 9

= 57.5 + 15.75 + 9

= 82.25

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The derivative of f(x) = -33 + 8x^8 + 102x is f'(x) = 64x^7 + 102. The derivative gives us information about the slope or rate of change of the function at different values of x.

To derive the function f(x) = -33 + 8x^8 + 102x, we need to find its derivative with respect to x. The derivative gives us the rate of change of the function at any given point.

To begin, let's find the derivative of each term separately using the power rule and the constant multiple rule.

The derivative of -33 (a constant term) is zero since it has no dependence on x.

Next, the derivative of 8x^8 can be found by applying the power rule. The power rule states that if we have a term of the form ax^n, its derivative is given by nx^(n-1). Therefore, the derivative of 8x^8 is 8 * 8x^(8-1) = 64x^7.

Finally, the derivative of 102x is simply 102, since the derivative of x is 1.

Combining the derivatives of each term, we get:

f'(x) = 0 + 64x^7 + 102.

Therefore, the derivative of f(x) is f'(x) = 64x^7 + 102.

This derivative represents the instantaneous rate of change of the function f(x) at any given point x.

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