Hiii I just need to know the answer for this. Please lend me a helping hand.I’ll make this 15 points

The p-value corresponding to this outcome is 0.1112.

Given data;

Aardvark Bank's drive-through window has historically seen an average of 20 customers every hour, with a standard deviation of 3 per hour. Another bank in the area opened this year. The manager of Aardvark predicts a drop in clientele as a result of this. He counted the consumers who came in throughout the 36 randomly chosen hours and discovered that the sample's mean client count per hour was 19.39.

What is the p-value corresponding to this outcome?

H₀ : μ = 20

H₁ : μ < 20

Here,

n = 36, X = 19.39, σ = 3

The test statistic Z;

Z = ( X - μ ) / (σ/√n)

Z = ( 19.39 - 20 ) / ( 3/√36 )

Z = -1.22

P - value = P(Z < -1.22)

P - value = 0.1112

Therefore, this result's related p-value is 0.1112.

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Answer:15319

Step-by-step explanation:the difference in elevation for the mountain and the valley is those numbers added if it was a mountain and another mountain you would subtract

If the supervisor increases the sample size to 600 residents, the estimated percentage of residents would become more accurate. A larger sample size provides a better representation of the population, thus reducing the potential for sampling error. In other words, a larger sample size means that the percentage of residents obtained from the sample would be more representative of the percentage of residents in the population.

For example, if the initial sample size was 100 residents, and the estimated percentage of a certain characteristic was 50%, there is a higher likelihood that this percentage may not accurately represent the true percentage of the population. However, if the sample size is increased to 600 residents, the estimated percentage would likely be closer to the true percentage of the population.

Overall, increasing the sample size allows for more precise estimates of population characteristics and reduces the potential for errors in generalizing sample results to the entire population.

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(a) Total 288 different arrangements of the committee are possible if the rowers and basketballers both sit together in groups, but no rower sits next to a basketballer.

(b) If the conditions in a apply, 1/24 is the probability that these two members of the committee will sit next to one another.

(a) Considering the four rowers as a single person, the three basketball players as a single person, and the cricketers as two unique people (So, a total of 4 persons).

Number of configurations for a round table of n people = (n-1)!

Number of configurations for a round table of n people = (4-1)!

Number of configurations for a round table of n people = 6 ways

Let's leave out the number of arrangements that the basketball players and rowers will have.

Assuming that a basketball player and a rower are one person, they will sit together = (3-1)! × 2!

Assuming that a basketball player and a rower are one person, they will sit together = 4

There are therefore numerous arrangements for the groups where basketball players and rowers sit together = 2

No. of ways to arrange basketball players in a group = 3!

No. of ways to arrange basketball players in a group = 6

There are numerous number of methods to arrange rowers within a group = 4!

There are numerous number of methods to arrange rowers within a group = 24

Hence, total number of ways = 2×6×24

Total number of ways = 288

No. of ways are 288

b) The definition of an event's probability is as follows:

Probability = No. of Successful Outcomes / Total no. of Outcomes

Number of ways a cricketer can take a seat = 2! = 2 ways

Number of arrangements for the remaining rowers when he is seated next to the cricket player = 3!

Number of arrangements for the remaining rowers when he is seated next to the cricket player = 6 ways

Total number of possible ways = 6×2

Total number of possible ways = 12 ways

Probability = 12/288

Probability = 1/24

Hence, the required probability is 1/24.

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Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Step-by-step explanation:

The derivative of sin x with respect to x is cos x.

d/dx (sin x) = cos x

Answer:cos x

Step-by-step explanation:

Answer:

d)  sin(45°) = 13/\(x\)

Step-by-step explanation:

Trig ratios:

sin(x) = O/H

cos(x) = A/H

tan(x) = O/A

where x is the angle, O = opposite side to angle, A = adjacent side to angle, and H = hypotenuse

From inspection, we have been given the measure of the side OPPOSITE to the angle and the measure of the HYPOTENUSE.

angle = 45°

opposite side = 13

hypotenuse = \(x\)

Therefore, substitute these values into the sine trig ratio:

⇒ sin(x) = O/H

⇒ sin(45°) = 13/\(x\)

Answer:

Step-by-step explanation:

\(Sin(45)=\frac{13}{x}\)

This must be the correct equation because sin=p/h. Here, perpendicular(p)=13 and hypotenuse(h)=x. So Sin45=13/x is used to find the value.

Answer:

60000

Step-by-step explanation:

500 into 120

hdusndbduisksn

Answer: a printer can print 60,000 copies in 120 minutes

Step-by-step explanation:

500copies/minute (120minutes) = 60,000 copies

Answer:

Sorry about the person above. The answer would be:

C. \(3x + 2y = 22\) and \(5x + 2y = 39\)

Explanation:

I just did the test.

Answer:

C

Step-by-step explanation:

Due to sampling variation, simple random samples may not perfectly reflect the population. True.

Due to sampling variation, simple random samples may not perfectly reflect the population. Therefore, we cannot definitively state that the proportion of students at this college who participate in intramural sports is exactly 0.38 based solely on the results of a simple random sample.

Sampling variation refers to the natural variability in sample statistics that occurs when different random samples are selected from the same population. It is important to acknowledge that there is inherent uncertainty in estimating population parameters from sample data, and the observed proportion may differ from the true population proportion. Confidence intervals and hypothesis testing can be used to quantify the uncertainty and make statistically valid inferences about the population based on the sample data.


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base angles theorem means that the base angles of an isosceles triangle like this one are always the same

62+62+x = 180

124 +x = 180

subtract 124 from both sides

x = 56 degrees

hope this helps!

The feature NOT associated with the function h(x) is that the domain of h(x) is [0.).

The function h(x) is defined as (x - 5)² - log₁ x + 6.

Let's analyze each given option to determine which one is NOT a key feature of h(x).

Option 1 states that the domain of h(x) is [0, ∞).

However, the function h(x) contains a logarithm term, which is only defined for positive values of x.

Therefore, the domain of h(x) is actually (0, ∞).

This option is not a key feature of h(x).

Option 2 states that the x-intercept of h(x) is (5, 0).

To find the x-intercept, we set h(x) = 0 and solve for x. In this case, we have (x - 5)² - log₁ x + 6 = 0.

However, since the logarithm term is always positive, it can never equal zero.

Therefore, the function h(x) does not have an x-intercept at (5, 0).

This option is a key feature of h(x).

Option 3 states that the y-intercept of h(x) is (0, 25).

To find the y-intercept, we set x = 0 and evaluate h(x). Plugging in x = 0, we get (0 - 5)² - log₁ 0 + 6.

However, the logarithm of 0 is undefined, so the y-intercept of h(x) is not (0, 25).

This option is not a key feature of h(x).

Option 4 states that the end behavior of h(x) is as x approaches infinity, h(x) approaches infinity.

This is true because as x becomes larger, the square term (x - 5)² dominates, causing h(x) to approach positive infinity.

This option is a key feature of h(x).

In conclusion, the key feature of h(x) that is NOT mentioned in the given options is that the domain of h(x) is (0, ∞).

Therefore, the correct answer is:

O The domain of h(x) is (0, ∞).

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Answer:

f

−

1

(

x

)

=

1

+

2

x

3

x

−

2

Step-by-step explanation:

yan po

$M$ cannot be written as a direct sum of cyclic $R$-modules, providing an example of a finitely generated module over an integral domain that does not have a direct sum decomposition into cyclic modules.

An example of a finitely generated module over an integral domain $R$ that is not a direct sum of cyclic $R$-modules is the following:

Consider the integral domain $R = \mathbb{Z}[x]$, the ring of polynomials in one variable with integer coefficients. Let $M$ be the module over $R$ defined as $M = R \oplus R$, where the module operation is defined component-wise.

In other words, an element $m$ in $M$ can be written as $m = (r_1, r_2)$, where $r_1, r_2 \in R$. The module addition and scalar multiplication are defined as follows:

$(r_1, r_2) + (s_1, s_2) = (r_1 + s_1, r_2 + s_2)$

$a \cdot (r_1, r_2) = (a \cdot r_1, a \cdot r_2)$

Now, let's show that $M$ is not a direct sum of cyclic $R$-modules.

Assume, for the sake of contradiction, that $M$ is a direct sum of cyclic $R$-modules. Then we can write $M$ as a direct sum of cyclic modules as follows:

$M = C_1 \oplus C_2 \oplus \dots \oplus C_n$

where each $C_i$ is a cyclic $R$-module generated by a single element.

Since $M = R \oplus R$, we can write any element $m = (r_1, r_2) \in M$ as a sum of elements from the cyclic modules:

$m = c_1 + c_2 + \dots + c_n$

where $c_i \in C_i$.

However, if we consider the element $m = (1, 0) \in M$, we have $m = c_1 + c_2 + \dots + c_n$. Since $C_i$ is cyclic and generated by a single element, each $c_i$ must have the form $(r_i, 0)$ for some $r_i \in R$.

Therefore, $m = c_1 + c_2 + \dots + c_n = (r_1, 0) + (r_2, 0) + \dots + (r_n, 0) = (r_1 + r_2 + \dots + r_n, 0)$.

But this means that the second component of $m$ is zero, which contradicts the fact that $m = (1, 0)$.

An example of a finitely generated module over an integral domain $R$ that is not a direct sum of cyclic $R$-modules is the following:

Consider the integral domain $R = \mathbb{Z}[x]$, the ring of polynomials in one variable with integer coefficients. Let $M$ be the module over $R$ defined as $M = R \oplus R$, where the module operation is defined component-wise.

In other words, an element $m$ in $M$ can be written as $m = (r_1, r_2)$, where $r_1, r_2 \in R$. The module addition and scalar multiplication are defined as follows:

$(r_1, r_2) + (s_1, s_2) = (r_1 + s_1, r_2 + s_2)$

$a \cdot (r_1, r_2) = (a \cdot r_1, a \cdot r_2)$

Now, let's show that $M$ is not a direct sum of cyclic $R$-modules.

Assume, for the sake of contradiction, that $M$ is a direct sum of cyclic $R$-modules. Then we can write $M$ as a direct sum of cyclic modules as follows:

$M = C_1 \oplus C_2 \oplus \dots \oplus C_n$

where each $C_i$ is a cyclic $R$-module generated by a single element.

Since $M = R \oplus R$, we can write any element $m = (r_1, r_2) \in M$ as a sum of elements from the cyclic modules:

$m = c_1 + c_2 + \dots + c_n$

where $c_i \in C_i$.

However, if we consider the element $m = (1, 0) \in M$, we have $m = c_1 + c_2 + \dots + c_n$. Since $C_i$ is cyclic and generated by a single element, each $c_i$ must have the form $(r_i, 0)$ for some $r_i \in R$.

Therefore, $m = c_1 + c_2 + \dots + c_n = (r_1, 0) + (r_2, 0) + \dots + (r_n, 0) = (r_1 + r_2 + \dots + r_n, 0)$.

But this means that the second component of $m$ is zero, which contradicts the fact that $m = (1, 0)$.

Hence, $M$ cannot be written as a direct sum of cyclic $R$-modules, providing an example of a finitely generated module over an integral domain that does not have a direct sum decomposition into cyclic modules.

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The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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Answer:

k is 10

Step-by-step explanation:

A triangle is a three-sided polygon and each of its interior angles must add up to 180°; so each angle can have at most 180°.

A triangle is a three-sided polygon with three interior angles. According to the mathematical rule known as the “sum of interior angles”, the sum of the three interior angles of any triangle must always equal 180 degrees. Therefore, if the three angles of a triangle are A, B, and C, then A + B + C = 180. Since the sum of the three angles must equal 180 degrees, it means that each angle can have at most 180 degrees; none of the angles can be greater than 180 degrees. In other words, the maximum possible value of the angles in a triangle is 180 degrees, so the triangle can have only 180 degrees in total.

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The given expression is equivalent to 486√3

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, √4 of 3√3 of 3⁵

√4 of 3√3 of 3⁵ = 2×3√3×243

= 486√3

Hence, the given expression is equivalent to 486√3

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(x+4)(x-2)²(x+3) (option D)

To determine which polynomial was graphed, we look at the roots of the function on the graph with the options given.

The roots of the equation are the x values that make the function equal to zero.

On the graph, we check the values of the line that crosses the x axis.

Each box on the x axis represents 2 units

we have x = 2 (towards the right of the x-axis).

Note that two lines touched x = 2. This means x =2 appeared twice

we also have x = -4 (towards the left x axis)

Then we have value of x that is before the x = -4. Checking the options, the value of x will be equal to -3

Now we rewrite:

x = 2, x = 2, x = -4, x = -3

x-2 = 0, x-2 = 0, x + 4 = 0, x+3 = 0

The roots of the function:

(x-2)²(x+4)(x+3)

Hence, the polynomial functions graphed below is (x+4)(x-2)²(x+3) (option D)

Answer:

−10−1(−2)^3−1(−2)(−11)

● −10−1(−8)−1(−2)(−11)

●−10+8−1(−2)(−11)

●−10+8−22

●−10+8−22

☆Answer:-24

○●○●○●○●○●○

Hope it helps

Have a great day!!

The change the you would expect in the predicted y is C. Decrease by 2

It should be noted that to determine the change in the predicted y, we need to calculate the effect of the change in x1 and x2 on y, while holding x3 and x4 constant.

The coefficients of x1 and x2 are 2 and -6, respectively. Therefore, increasing x1 by 2 units will result in a change in y of 2(2) = 4 units, while increasing x2 by 1 unit will result in a change in y of -6(1) = -6 units. Since x3 and x4 remain unchanged, they have no effect on the change in y.

Therefore, the predicted y will decrease by 2 units when x1 increases 2 units and x2 increases 1 unit, while x3 and x4 remain unchanged.

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Answer:

100.78 is her new balance

Step-by-step explanation:

can i get brainliest

Answer:

Step-by-step explanation:

All but first for every single x gives single y so the second, third and fourth are function

At first for x=2 we have two y (2 or -2) so this isn't function.

Answer: = (-2,3)

Step-by-step explanation:

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  \(90^{\circ}\)counterclockwise about the origin:

\((x,y)\to (-y,x)\)

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  \(90^{\circ}\)counterclockwise about the origin = (-2,3)

Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy

Step-by-step explanation:

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute given values

Answer:

Given that x - y = 5 and xy = -6/1/2,

Step-by-step explanation:

the value of x² + y².

=(x-y)²+2xy=5²+2×[-6 1/2]=25-13=12 is your answer

(a) If a small change in price creates a large change in demand, then we would say that the demand is elastic.
(b) The given statement "Every function will have both absolute maximum and absolute minimum" is False.
(c) The given statement "The function f(x)=x^3 has a point of inflection at (0,0)" is False.
(d) f(x) is concave down on (1,4).
(e) Graph d represents a profit function.

(a) If a small change in price creates a large change in demand, then we would say that the demand is elastic.

(b) Every function will have both absolute maximum and absolute minimum. This statement is False.

(c) The function f(x)=x^3 has the point of inflection which is (0,0). The statement is False because it is not the only one point present.

(d) Let x be any number on (1,4). If f″(x)<0, then we can say that f(x) is concave down on (1,4).

(e) Graph D is a profit function.

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