Red Riding Hood drives the 432 miles to Grandmother's house in 1 hour less than it takes the Wolf to drive the same
route. Her average speed is 6 mph faster than the Wolf's average speed. How fast does Red Riding Hood drive?
a. 48 mph
c. 50 mph
b. 54 mph
d. 45 mph

0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

Using statistical software or a t-distribution table, we can find that the area to the left of 0.57 under the t-distribution with 17 degrees of freedom is approximately 0.7111.

To find the area to the right of 0.57, we need to subtract the area to the left of 0.57 from 1

Area to the right of 0.57 = 1 - 0.7111 = 0.2889

Rounding this to 4 decimal places gives us a final answer of 0.2889. Therefore, 0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

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the turning point(s) of a polynomial function by using below steps

To find the turning point of a polynomial function, follow these steps:

1. Determine the degree of the polynomial. The turning point will occur in a polynomial of odd degree (1, 3, 5, etc.) or at most one turning point in a polynomial of even degree (2, 4, 6, etc.).

2. Write the polynomial function in the form f(x) = axⁿ + bxⁿ⁻¹ + ... + cx + d, where n represents the degree of the polynomial and a, b, c, d, etc., are coefficients.

3. Find the derivative of the polynomial function, f'(x), by differentiating each term of the function with respect to x. This will give you a new function that represents the slope of the original polynomial function at any given point.

4. Set f'(x) equal to zero and solve for x to find the x-coordinate(s) of the turning point(s). These are the values where the slope of the polynomial function is zero, indicating a potential turning point.

5. Substitute the x-coordinate(s) obtained in step 4 into the original polynomial function, f(x), to find the corresponding y-coordinate(s) of the turning point(s).

6. The turning point(s) of the polynomial function is given by the coordinates (x, y), where x is the x-coordinate(s) found in step 4 and y is the y-coordinate(s) found in step 5.

By following these steps, you can find the turning point(s) of a polynomial function.

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The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test.

The blood test for determining coagulation activity defects is called the Prothrombin Time (PT) test. This test measures the time it takes for blood to clot and is used to assess the functioning of the clotting factors in the blood. It is commonly used to evaluate the extrinsic pathway of the coagulation cascade, which involves factors outside of the blood vessels.

The PT test is an important diagnostic tool in hematology and is used to diagnose or monitor conditions that affect blood clotting, such as bleeding disorders or the effectiveness of anticoagulant medications. By measuring the PT, healthcare professionals can determine if there are any abnormalities in the coagulation process and make appropriate treatment decisions.

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The temperature when the cricket chirps 180 times a minute =  \(83.72^{\circ} F\)

Given:

The normal range of summer temperatures the number of chirps made by a cricket in a minute is predictable.

At 72°F the cricket chirps 140 times a minute. At 80° Fthe cricket chirps 172 times a minute.

i.e. frequency of chirps is directly proportional to the temperature.

Computation:

Let x be the temperature when the  cricket chirps 180 times a minute, then

\(\dfrac{x}{180}=\dfrac{80}{172}\ \ \ \ \ [\text{Using direct variation equation:} \frac{x_}{y_1}=\frac{x_2}{y_2}}]\\\\\Rightarrow\ x\approx83.72^{\circ} F\)

Hence, The temperature when the cricket chirps 180 times a minute =  \(83.72^{\circ} F\)

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Answer:

Option F

Step-by-step explanation:

F). x + y = 3 -------(1)

    x - 3y = -2 --------(2)

    Equation (1) minus equation (2)

    (x + y) - (x - 3y) = 3 - (-2)

    4y = 5

    y = 1.25

    Hence, y is positive.

G). x + y = 3 --------(1)

    x + y = -2 --------(2)

    Both the equations represent parallel lines.

    There are no solutions of the given equations.

H). x - 3y = -2 -------(1)

     x + y = -2 -------(2)

    Equation (2) minus equation (1)

    (x + y) - (x - 3y) = -2 - (-2)

     4y = 0

     y = 0

    Since, 0 is neither positive nor negative, y will be neither positive nor negative.

J). x + y = 3 -------(1)

    x - y = 3 --------(2)

    Equation (1) - Equation (2)

    (x + y) - (x - y) = 3 - 3

    2y = 0

    Hence, y is neither negative nor positive.  

    Therefore, Option F is the answer.

Answer:

Hi your question lacks the required options attached are the options

a) there is no correlation between number of inhabitants and amount of trash produced

b) there is a correlation between the number of inhabitants and the amount of trash produced however there is no causation, this is because there is probably an increase in the amount of trash produced with an increase in the number of inhabitants

c) there is correlation between the number of inhabitants and the amount of trash produced, there may or may not be causation , further studies would have to be done to determine this

Answer : there is correlation between the number of inhabitants and the amount of trash produced, there may or may not be causation , further studies would have to be done to determine this

Step-by-step explanation:

What can be determined from a study that shows that houses with more inhabitants same number of trash as houses with fewer inhabitants is that:  there is correlation between the number of inhabitants and the amount of trash produced, there may or may not be causation , further studies would have to be done to determine this.

This is due to the fact that an increase in population is suppose to have an equivalent increase in trash been produced but in this study the increase in population had no effect in the increase or decrease in trash therefore further studies would have to be conducted to determine the causation of such .

Answer:

linear

y = 2.75x

Step-by-step explanation:

Price: $2.75/lb

Let y = cost.

Let x = number of pounds.

equation:

y = 2.75x

Linear equation

This is a direct proportion, so it is a linear equation.

For equal changes in x, you get equal changes in y.

Divide the amount of commission by the percent:

130.50 / 4.5%

130.50 / 0.045 = $2,900

Answer: $2,900

"The analysts at the casino try to choose the spread so that there is a 50% chance that the outcome will be below that amount, and a 50% chance that the outcome will be above that amount" is TRUE.

The analysts at the casino do not try to choose the spread so that there is a 50% chance of the outcome being below or above that amount. The spread is chosen based on factors such as the teams playing, their past performances, and other relevant statistics.

The goal of the casino is to balance the amount of money bet on each side, not to ensure a 50/50 chance of winning for either side. The spread is simply a tool used to even out the betting and ensure a profit for the casino.
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Answer:

Step-by-step explanation:

Expert-Verified Answer​​ The result is a very large negative number, specifically -2,176,782,192. Therefore: 4a²−b⁶ = -2,176,782,192, when a=6 and b=36.

In logic, an inference is a process of deriving logical conclusions from premises known or assumed to be true. The term derives from the Latin term, which means "bring in." An inference is said to be valid if it's based upon sound evidence and the conclusion follows logically from the premises.

hope this helped <3

Answer:

Here is the sample space, its size is 4*3 = 12:

Answer:

According to your question :-

four marbles :-

cubes numbered as :-

_______________________

outcomes :-

At black ..

At blue ..

At yellow ..

At red ..

________________________

Size ...

4 X 3 = 12 size,,

hopes its helps you.

Dilution without achieving the immobilization of contaminants is not an acceptable treatment option because it does not effectively address the problem of contamination.

When contaminants are diluted without being immobilized, they are simply dispersed in a larger volume of water or another medium. While this may reduce the concentration of contaminants in a given sample, it does not remove or neutralize them. As a result, the contaminants can still pose a risk to the environment, human health, or other organisms. Dilution without immobilization is essentially a temporary solution that does not provide a long-term remedy for the contamination issue.

In contrast, immobilization of contaminants involves capturing or binding them in a way that prevents their migration or release into the environment. This can be achieved through various methods such as solidification/stabilization, chemical reactions, or physical encapsulation. Immobilization effectively isolates the contaminants, reducing their mobility and potential for harm. It provides a more sustainable and permanent solution by minimizing the risk of contaminant release and spread.

Contaminant immobilization is an essential component of effective remediation strategies. It helps prevent the spread and recontamination of affected areas, safeguarding the environment and human health. Immobilization techniques can vary depending on the nature of the contaminants and the specific site conditions, and they often require careful consideration and expertise to ensure their effectiveness. By immobilizing contaminants, we can mitigate their negative impacts and work towards restoring contaminated sites to a safe and healthy state.

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Answer:

32/60 is not a equivalent fraction of 8/12

I hope this helps you.

The value of result in the following expression will be 0 if x has the value of 12:

result = x > 100 ? 0 : 1.

The expression given is known as a ternary operator.

It's a short form of if-else.

The ternary operator is written with three arguments separated by a question mark and a colon:

`variable = (condition) ? value_if_true : value_if_false`.

Here, `result = x > 100 ? 0 : 1;` is a ternary operator, and its meaning is the same as below if-else block.if (x > 100)  {  result = 0; }  else {  result = 1; }

As per the question, we know that if the value of `x` is `12`, then the value of `result` will be `0`.

Hence, the answer is `0`.

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Based on the information given, it can be noted that the problem with the research is the problem of validity.

It should be noted that in a research, a problem with validity takes place when there's a lack of reliability of the independent variable.

Also, it is a result of lack of representativeness of the independent variable and a lack of impact of the independent variable.

In this case, the researcher sets out to measure drug use on US college campuses by asking a representative sample of undergraduates whether they are currently receiving federal grants or loans. It should be noted that the question asked doesn't relate to the research.

In conclusion, there's a problem with validity.

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Answer:

A 2 seconds

Step-by-step explanation:

Answer:

4 seconds

Step-by-step explanation:

Since the object is falling 16ft  per second, it would take 4 seconds for it to fall 64 ft. Because 64 divided by 4 is 16

The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

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The amount of $123 will be equal to 1380 yens.

The rate at which one currency will be exchanged for another is known as the exchange rate in the world of finance. The most frequent types of currencies are national currencies.

Given that the exchange rate of the Japanese Yen on a certain day was Rs 10.25. On the same day, if $3 was exchanged for Rs 345.

The amount of $123 in the yens will be calculated by forming the equations below:-

1 yen = 10.25 rs

1 rs = ( 1 / 10.25 ) yens  ........................(1)

$3 = 345 rs

1 rs = $3 / 345             .........................(2)

From both the equations:-

( 1 / 10.25 ) yens  = $ ( 3 / 345 )

$ 1 = ( 345 / ( 10.25 x 3 ) yen

$ 123 = ( 345 x 123  / ( 10.25 x 3 ) yen

$ 123 = 1380 yen

Therefore, the amount of $123 will be equal to 1380 yens.

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Answer:

8/15 left

Step-by-step explanation:

Given data

We want to perform subtraction operation on fractions

Total number of water= 5/6

we are told that 3/10 are for other runners

Hence the number of water left is

=5/6-3/10

=50-18/60

=32/60

=8/15

Hence there are 8/15 left

The distribution of X, the number of heads obtained by tossing three unbalanced coins, has probabilities of 8/27 for X=0, 4/27 for X=1, 2/27 for X=2, and 1/27 for X=3.

The possible outcomes of a single coin toss are either a head or a tail, with probabilities of 1/3 and 2/3 respectively. Since we are tossing three coins, there are \(2^3 = 8\) possible outcomes, which we can list in a sample space:

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

where H represents a head and T represents a tail.

To find the probability of each outcome, we can simply multiply the probabilities of each individual coin toss. For example, the probability of getting HHT is \($\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{2}{3}=\frac{2}{27}$\), since the first two coins must land on a head and the third coin must land on a tail.

We can then calculate the probability of each value of X, the number of heads, by adding up the probabilities of the outcomes that correspond to that value of X.

X = 0: P(X=0) = P(TTT) = \($\left(\frac{2}{3}\right)^3 = \frac{8}{27}$\)

X = 1: P(X=1) = P(HTT, THT, TTH) = \($3\cdot\frac{1}{3}\cdot\frac{2}{3}\cdot\frac{2}{3}=\frac{4}{27}$\)

X = 2: P(X=2) = P(HHT, HTH, THH) = \($3\cdot\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{2}{3}=\frac{2}{27}$\)

X = 3: P(X=3) = P(HHH) = \($\left(\frac{1}{3}\right)^3=\frac{1}{27}$\)

Therefore, the distribution of X is:

X 0 1 2 3

P(X) 8/27 4/27 2/27 1/27

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To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.

To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.

The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).

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Answer:

23

Step-by-step explanation:

Answer:

X:17

Step-by-step explanation:

3(17)+9+30=90

Answer:

47

Step-by-step explanation:

The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

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The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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The item which is closest in size to one mole of gas at STP is C) A microwave

A mole is the quantity of matter contained in a body.

We know that at STP the volume of gas occupied by one mole of a gas at STP is 22.4 dm³.

Now, we have 4 items.

Let us assume that each item is a cube. Also, since 22.4 dm³ is the volume of the cube, its length is

L = ∛22.4 dm³

=  ∛(22.4 × 10³) cm³

= 28.2 cm

So, ithe item that is comparable to this length is the microwave.

So, the item is C. A microwave

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The equation - 2y = 4x - 8 in slope intercept is y = - 2x + 4.

Consider the function,

- 2y = 4x - 8

The equation of a line in slope intercept form is y = mx + b where m is the slope and b is the y-intercept.

So,

- 2y = 4x - 8

y = - 2x + 4

Now,

When x = 0

y = - 2(0) + 4 = 4

When x = 1,

y = - 2(1) + 4 = 2

When x = 2,

y = - 2(2) + 4 = 0

When x = - 1,

y = - 2( - 1 ) + 4 = 6

When x = - 2,

y = - 2( - 2 ) + 4 = 8

When x = 3,

y = - 2( 3 ) + 4 = - 2

So, the point on the graph are ( 0, 4 ), ( 1, 2 ), ( 2, 0 ), ( 3, - 2), ( - 1, 6 ), ( - 2, 8 ).

Therefore, the graph of the function is:

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Geometric sequence

an = a1 r ^(n-1)

____________________

f(n)=1/2*4^n, n≥0

in this case a1= 1/2

r = 4

n= 0 (you just replace n)

f( 0 )=1/2*4^0

f(0) = 1/2 =1/ 2

n f(n)

0 f(0) = 1/ 2 f( 0 )=1/2*4^0

1 f(1) = 2 f( 0 )=1/2*4^2 = 4/2

2 f(2) = 8 f( 0 )=1/2*4^2 = 16/2

3 f(3) = 32 f( 0 )=1/2*4^2 =64/2

4 f(4) = 128 f( 0 )=1/2*4^2 = 256/2

Answer:

124°

Step-by-step explanation:

The angles CGH and AHF have the same size.

● 7x - 72 = 3x + 40

Add 72 to both sides

● 7x - 72 + 72 = 3x + 40 + 72

● 7x = 3x + 112

Substract 3x from both sides

● 7x - 3x = 3x + 112 - 3x

● 4x = 112

Divide both sides by 4

● 4x/4 = 112/4

● x = 28

■■■■■■■■■■■■■■■■■■■■■■■■■■

● < CGH = 7x - 72 = 7×28 - 72 = 124°

Answer:

Step-by-step explanation:

there is an obscure rule that looks like this

DB/AB = AB/CB

AB=40 for this problem

DB = x

CB = 20

then

X/40 = 40/20

X = 40(40/20)

X = 40(2)

X=80

I find that hard to believe too,   :D

but the rule says that's right