HELP WILL GIVE BRAINLIEST AND 30 POINTS!!
Students went on a field trip. The destination was 7 miles away. In the first hour, the students walked three tenths of the distance. How far did they walk in the first hour?
ANSWER IS 2.1 miles PLEASE SHOW ALL WORK

Answer:

The probability is 4/52

What is Probability?

the extent to which something is probable; the likelihood of something happening or being the case.

"the rain will make the probability of their arrival even greater"

Similar:

likelihood

likeliness

prospect

expectation

chance

chances

odds

possibility

a probable or the most probable event.

plural noun: probabilities

"for a time revolution was a strong probability"

Similar:

probable event

prospect

possibility

good/fair/reasonable bet

the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

"the area under the curve represents probability"

Answer:

number of gallons of water the family will use every morning = 50  gallons

Step-by-step explanation:

Every minutes 2.5 gallons of water flows from the shower . The amount of water disperse by the shower for every 1 minutes is 2.5 gallons. The family using the shower are 4 in numbers . And each of them spend on average of  5 minutes showering .

Let us find how many gallons of water will flow for 5 minutes since family member spent an average of 5 minutes bathing every morning/. Therefore,

2.5 gallons  = 1 minutes

? gallons  =  5 minutes

cross multiply

number of gallons of  water each family member uses every morning = 2.5 × 5 = 12.5 gallons

They are 4 family members in number since each person uses 12.5 gallons of water , 4 of them will use 4 × 12.5 = 50  gallons

The mean absolute deviation of the given set of data {12, 4, 6, 12, 10, 8, 4} is 3.43 (rounded to two decimal places). The mean absolute deviation measures the average distance of each data point from the mean of the set, indicating the overall variability of the data.

To calculate the mean absolute deviation (MAD), we first find the mean of the data set. Adding up all the values and dividing by the total count, we get (12 + 4 + 6 + 12 + 10 + 8 + 4) / 7 = 56 / 7 = 8.

Next, we calculate the absolute deviation for each data point by subtracting the mean from each value and taking the absolute value of the difference. The absolute deviations are: |12 - 8| = 4, |4 - 8| = 4, |6 - 8| = 2, |12 - 8| = 4, |10 - 8| = 2, |8 - 8| = 0, and |4 - 8| = 4.

To find the MAD, we average these absolute deviations. Adding them up and dividing by the total count, we get (4 + 4 + 2 + 4 + 2 + 0 + 4) / 7 = 20 / 7 ≈ 2.86.

Therefore, the mean absolute deviation of the given set of data is approximately 3.43, rounded to two decimal places. It indicates that, on average, the data points deviate from the mean by about 3.43 units, demonstrating the overall variability or dispersion of the data set.

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The coordinates of the midpoint of a segment with the given endpoints will be (1, 9.5).

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(2, 14) and C(0, 5).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(2 + 0) / 2, (14 + 5) / 2]

(x, y) = (2/2, 19/2)

(x, y) = (1, 9.5)

The coordinates of the midpoint of a segment with the given endpoints will be (1, 9.5).

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Answer:

13

Step-by-step explanation:

(7× 8-4) ÷(6-2)

(56-4) ÷ (4)

52÷4

= 13

Answer:

(7x8-4)÷(6-2)​=13

Step-by-step explanation:

The equivalent expressions of 4 cubed - 3(2 + 4 squared) + 8 are:1. 4^3 - 3(2 + 4^2) + 82. 64 - 3(2 + 16) + 83. 64 - 3(18) + 84. 64 - 54 + 85. 10 + 86.18

In summary, the equivalent expressions of 4 cubed - 3(2 + 4 squared) + 8 are 64 - 3(18) + 8, 10 + 8, and 18.

Now, let's explain the answer in more detail. We start with the given expression: 4 cubed - 3(2 + 4 squared) + 8.

First, we simplify the expressions within the parentheses: 4 squared = 16, and 2 + 16 = 18.

Next, we substitute the simplified values back into the expression: 4 cubed - 3(18) + 8.

We calculate 4 cubed, which is 4 multiplied by itself three times, resulting in 64.

Then, we multiply 3 by 18, which gives us 54.

Finally, we perform the operations left to right: 64 - 54 + 8, which equals 10 + 8, and the final result is 18.

Therefore, the equivalent expressions of 4 cubed - 3(2 + 4 squared) + 8 are 64 - 3(18) + 8, 10 + 8, and 18.

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Answer:

you just have to do it yourself

The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.

Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

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If the horizontal distance between Tyler and the kite is 600 feet then the kite is 80 ft above the ground.

Pythagoras's Theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. This can be mathematically represented as:

\(c^2 = a^2 + b^2\)

Where c is the length of the hypotenuse, and a and b are the lengths of the legs of the triangle.

The theorem is named after the ancient Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that the theorem may have been known to the Babylonians and Indians over a thousand years earlier.

Pythagoras's theorem is widely used in mathematics and physics, especially in trigonometry and in the study of triangles and their properties, and it's also used to find the distance between two points in a two-dimensional space, for example, in cartesian coordinates.

Hypotenuse2 = Perpendicular2 + Base2

c2 = a2 + b2  

We apply the Pythagorean Theorem to determine the kite's height, h

the problem can solve if the kite is 60feet

\(h^2 = 100^2 - 60^2\\h^2 = 10000 - 360\\h^2 = 6,400\\h=\sqrt{6400} \\h=80\)

h =80 ft (we take the positive solution since the height can not be negative number)

The kite is 80 ft above the ground.

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Answer:

1/7

Step-by-step explanation:

Answer:

The probability of flipping tails is 1/2

The percent relative average deviation of the given set of numbers is 0.2253%.

To calculate the percent relative average deviation of the above set of numbers, we need to find out the mean of the set of numbers as the first step.

Mean of the set of numbers. To find out the mean of the set of numbers, we need to sum up all the numbers and divide it by the total number of elements in the set of numbers.

Mean of the set of numbers = (10.01+10.03+9.96+9.99)/4Mean of the set of numbers = 39.99/4Mean of the set of numbers = 9.9975

Calculate the deviation of each number from mean. To calculate the deviation of each number from mean, we need to find out the absolute difference of each number from the mean.

Deviation of 10.01 = |10.01-9.9975| = 0.0125

Deviation of 10.03 = |10.03-9.9975| = 0.0325

Deviation of 9.96 = |9.96-9.9975| = 0.0375

Deviation of 9.99 = |9.99-9.9975| = 0.0075

Calculate the average deviation. To calculate the average deviation, we need to add up all the deviations and divide it by the total number of elements.

Average deviation = (0.0125+0.0325+0.0375+0.0075)/4Average deviation = 0.0225

To calculate the percent relative average deviation, we need to multiply the average deviation by 100 and divide it by the mean. Percent relative average deviation = (0.0225*100)/9.9975.

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To have a more realistic picture of a typical salary, the following statement(s) on the measure of central tendency can be true:

1. Median: The median is the middle value in a dataset when the data is arranged in ascending or descending order. It is a suitable measure of central tendency for salaries when there are extreme values or outliers present. The median is less affected by extreme values compared to the mean, making it a more robust measure.

2. Mode: The mode represents the most frequently occurring value in a dataset. If there are specific salary ranges or categories that occur more frequently, identifying the mode can provide insight into the typical salary category.

Both the median and mode can help provide a more realistic picture of a typical salary, especially when the data has a skewed distribution or contains outliers. The mean (average) is also commonly used as a measure of central tendency, but it can be influenced by extreme values and may not accurately represent a typical salary when there are significant variations in the dataset.

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To have a more realistic picture of a typical salary, it is important to consider the measure of central tendency. The measure of central tendency is a statistical measure that represents the typical or central value in a dataset. Here are some statements that are true regarding the measure of central tendency:

1. The mean: This is the most commonly used measure of central tendency. It is calculated by summing up all the values in a dataset and dividing it by the total number of values. The mean provides a good representation of the typical salary when the dataset is normally distributed and does not have extreme outliers. For example, if we have salaries of $30,000, $40,000, $50,000, $60,000, and $100,000, the mean salary would be $56,000.

2. The median: The median is the middle value in a dataset when the values are arranged in ascending or descending order. It divides the dataset into two equal halves. The median is a more robust measure of central tendency because it is not affected by extreme values or outliers. For example, if we have salaries of $30,000, $40,000, $50,000, $60,000, and $100,000, the median salary would be $50,000.

3. The mode: The mode is the value that appears most frequently in a dataset. It can be used to identify the most common salary category. For example, if we have salaries of $30,000, $40,000, $40,000, $50,000, $60,000, and $100,000, the mode salary would be $40,000.

To have a more realistic picture of a typical salary, it is recommended to consider multiple measures of central tendency together. By looking at the mean, median, and mode, you can gain a more comprehensive understanding of the distribution and variability of salaries in a dataset. Additionally, it is important to consider the context of the dataset and any potential biases or limitations that may affect the accuracy of the measures of central tendency.

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Answer:

1335.5

Step-by-step explanation:

Answer:

10/171

Step-by-step explanation:

The correct coordinates of point G are option E: (4.2, 3.4).

To find the coordinates of point G, we need to divide the line segment FH in the ratio 8:2. This means that point G divides the line segment into 8 equal parts from F and 2 equal parts from H.

To determine the position of point G, we can use the concept of section formula. Let's denote the coordinates of G as (x, y). Using the section formula, we can calculate the coordinates of G as follows:

x = (8*x_G + 2*x_H)/(8 + 2)

y = (8*y_G + 2*y_H)/(8 + 2)

Plugging in the coordinates of F(-8, -2) and H(8, 6), we can solve for x and y:

x = (8*(-8) + 2*8)/(8 + 2) = 4.2

y = (8*(-2) + 2*6)/(8 + 2) = 3.4

Thus, the coordinates of G are approximately (4.2, 3.4).

Options A, B, C, and D are not correct coordinates based on the calculations above. Therefore, option E is the correct answer.

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Answer:

3 is the largest angle

9 non-congruent squares can be drawn.

Non-congruent squares are two squares with different side lengths. These two squares can be drawn separately and still have four right angles and four equal sides, but the lengths of the sides are not the same. Non-congruent squares are a type of quadrilateral and have both diagonals and parallel sides. These shapes can be used to create a variety of geometric designs and patterns, and often appear in art and architecture.

Each of the four corners of the 5 by 5 grid can be the vertices of a square, and the middle of each side of the 5 by 5 grid can be the vertices of a square. This makes eight non-congruent squares in total. Additionally, the center point can be the vertex of another non-congruent square, making nine in total. All of these squares are constructed from lattice points, and none of them are congruent to each other.

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Step-by-step explanation:

Area of a circle = pi x r(squared)

= 3.14 x (15)2

= 3.14 x 225

=706.5cm2

a) Anaiah currently spending $150 on these goods

b) His behavior is irrational because,

option (1) He is not spending his entire income, option (2) He is spending too much on kiwis and option (3) He is not balancing his spending on each good to achieve maximum total utility.

Based on the given information, Anaiah is currently spending $150 on these goods, which is calculated by adding the total cost of eggplants and kiwis as follows:

Cost of 20 eggplants = 20 x $3 = $60

Cost of 30 kiwis = 30 x $3 = $90

Total cost = $60 + $90 = $150

Anaiah is behaving irrationally because he is not spending his entire income of $180, which means he is not maximizing his utility. Additionally, he is spending too much on kiwis, as indicated by the higher marginal utility per dollar spent on the 30th kiwi compared to the 20th eggplant.

This suggests that he would derive more satisfaction from spending more on eggplants and less on kiwis. Lastly, his marginal utility per dollar spent is not the same for both goods, which implies that he is not balancing his spending on each good to achieve the maximum total utility. Therefore, Anaiah could improve his spending behavior by adjusting his purchases to reflect a better balance of marginal utility per dollar spent on each good.

Therefore, the correct options are  option (1) He is not spending his entire income, option (2) He is spending too much on kiwis and option (3) He is not balancing his spending on each good to achieve maximum total utility.

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Answer:

$122.50

Step-by-step explanation:

Sale Price: $70

Percent off: 75%

First, find 75% of 70.

To do so, you must change the percent to a decimal (75% to .75) and multiply it by 70.

.75 x 70 = 52.5

52.5 is the amount of money that was taken off the original price, so in order to find that, you must add it to the sale price.

52.5 + 70 = 122.5

So the original price was $122.50

Answer: x = -1 , y = -1

The legs' lengths are 7 and 24 respectively. As a result, choice C is the right answer.

Completed question ;

The hypotenuse of a right triangle measures 25. Which could be the lengths of the legs?

A. 3 and 4

B. 5 and 5

C. 7 and 24

D. 10 and 15

Given data :

The hypotenuse of a right triangle measures 25.

A) 3²+4²= Square of the hypotenuse

25=Square of the hypotenuse

Hypotenuse=5 units

B) 5²+5²= Square of the hypotenuse

50=Square of the hypotenuse

Hypotenuse=5√2 units

C) 7²+24²= Square of the hypotenuse

625=Square of the hypotenuse

Hypotenuse=25 units

D) 10²+15²= Square of the hypotenuse

325=Square of the hypotenuse

Hypotenuse=√325 units

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Answer:

It is 1 3/10

Step-by-step explanation:

The tangent vector  → \(r(t)=〈4cos(2t),4sin(2t),5t〉\), normal vector at t=0 is given by →N(0) = 〈-1,0,0〉, and binormal vector at t=0 is given by →\(B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector, normal vector, and binormal vector of the given curve are as follows:

Given curve:

→ \(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0

To find: Tangent vector, the Normal vector, and the Binormal vector (→T, →N and →B) at the point t=0

Tangent vector: To find the tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\) at the point t=0,

we need to differentiate the equation of the curve with respect to t.t = 0, we have:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉→r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

Differentiating w.r.t t:→\(r(t) = 〈4cos(2t),4sin(2t),5t〉 → r'(t) = 〈-8sin(2t),8cos(2t),5〉t = 0\),

we have:

→\(r'(0) = 〈-8sin(0),8cos(0),5〉= 〈0,8,5〉\)

Therefore, the tangent vector at t = 0 is given by

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Normal vector:To find the normal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to differentiate the equation of the tangent vector with respect to t.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating w.r.t t:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉t = 0\),

we have:

→\(T'(0) = 〈-16cos(0),-16sin(0),0〉= 〈-16,0,0〉\)

Therefore, the normal vector at t = 0 is given by

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Binormal vector: To find the binormal vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0, we need to cross-product the equation of the tangent vector and normal vector of the curve.t = 0, we have:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉\)

The cross product of two vectors:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the binormal vector at t = 0 is given by→B(0) = 〈0, -0.441, -0.898〉

Hence, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are as follows:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The given curve is

→\(r(t)=〈4cos(2t),4sin(2t),5t〉 at the point t=0.\)

We are asked to find the tangent vector, the normal vector, and the binormal vector of the given curve at t=0.

the tangent vector at t=0. To find the tangent vector, we need to differentiate the equation of the curve with respect to t. Then, we can substitute t=0 to find the tangent vector at that point. the equation of the curve Is:

→\(r(t) = 〈4cos(2t),4sin(2t),5t〉\)

At t = 0, we have:

→\(r(0) = 〈4cos(0),4sin(0),5(0)〉= 〈4,0,0〉\)

We can differentiate this equation with respect to t to get the tangent vector as:

→\(r'(t) = 〈-8sin(2t),8cos(2t),5〉\)

At t=0, the tangent vector is:

→\(T(0) = r'(0) / |r'(0)|= 〈0,8,5〉 / sqrt(89)≈〈0.000,0.898,0.441〉\)

Next, we find the normal vector. To find the normal vector, we need to differentiate the equation of the tangent vector with respect to t. Then, we can substitute t=0 to find the normal vector at that point.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

Differentiating this equation with respect to t, we get the normal vector as:

→\(T'(t) = 〈-16cos(2t),-16sin(2t),0〉\)

At t=0, the normal vector is:

→\(N(0) = T'(0) / |T'(0)|= 〈-16,0,0〉 / 16= 〈-1,0,0〉\)

Finally, we find the binormal vector. To find the binormal vector, we need to cross-product the equation of the tangent vector and the normal vector of the curve.

At t=0, we can cross product →T(0) and →N(0) to find the binormal vector.

At t=0, the tangent vector is:

→\(T(0) = 〈0.000,0.898,0.441〉\)

The normal vector is:

→N(0) = 〈-1,0,0〉Cross product of two vectors →T(0) and →N(0) is given as:

→\(B(0) = →T(0) × →N(0)= 〈0.000,0.898,0.441〉 × 〈-1,0,0〉= 〈0, -0.441, -0.898〉\)

Therefore, the tangent vector, normal vector, and binormal vector of the given curve at t=0 are:

→\(T(0) = 〈0.000,0.898,0.441〉→N(0) = 〈-1,0,0〉→B(0) = 〈0, -0.441, -0.898〉\)

The tangent vector of the given curve

→\(r(t)=〈4cos(2t),4sin(2t),5t〉\)

at the point t=0 is given by →\(T(0) = 〈0.000,0.898,0.441〉.\)

The normal vector at t=0 is given by →N(0) = 〈-1,0,0〉.

The binormal vector at t=0 is given by →B(0) = 〈0, -0.441, -0.898〉.

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The expression of the mathematical statement given as the difference of t and five multiplied by six is four is 6(t - 5)  = 4

From the question, the mathematical statement is given as

the difference of t and five multiplied by six is four

The difference of numbers means that we subtract the numbers

i.e. difference means subtraction

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) multiplied by six is four

The multiplication of numbers means that we take the product of the numbers

i.e. multiply means product

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) x six is four

Lastly, we have

(t - five) x six = four

Express as numbers

(t - 5) x 6 = 4

This becomes

6(t - 5)  = 4

Hence, the expression represented by the statement is 6(t - 5)  = 4

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Answer:

a. x = 180 - (j + k)

b.

j + k = (5x - 2) + (2x - 2) = 7x - 4

l = x

x = 180 - (7x - 4)

x = 180 - 7x + 4

8x = 184

x = 184/8

x = 23

l = 23°

j = 5x - 2

j = 5 × 23 - 2

j = 115 - 2

j = 113°

k = 2x - 2

k = 2 × 23 - 2

k = 46 - 2

k = 44°

or k = 180 - (23 + 113) = 180 - 136 = 44°

Answer:

$110

Step-by-step explanation:

we know

selling price = cost price + profit.

given

selling price of TV = $121

profit = 10%of cost

selling price of TV = cost of TV + 10%cost of TV

121 = cost of TV + 10/100 cost of TV

=> 121 = (100 cost of TV + 10 cost of TV)/100

=> 121*100 = 110 cost of TV

=> cost of TV = 121*100/110 = 110

Thus, cost price of TV is $110(option A)

Answer:

C) 80

Step-by-step explanation:

triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees

the answer is 165 I think because I didn't understand the question

Answer:

34 hours

Step-by-step explanation:

358-35=323

323/9.50= 34