Using the segment addition postulate, which is true?

Answer: 1 hour 15 minutes

Step-by-step explanation:

From the question, we are informed that Laura and Alicia both exercise 5 days a week and that Laura exercises for 30 minutes each day. For the 5 days, she'll exercise for:

= 5 × 30 minutes

= 150 minutes

= 2 hours 30 minutes

Alicia exercises for 45 minutes each day. Fir the 5 days, she'll exercise for:

= 5 × 45 minutes

= 225 minutes

= 3 hours 45 minutes

We then calculate the difference in their exercise per week which will be:

= 3 hours 45 minutes - 2 hours 30 minutes

= 1 hour 15 minutes

(a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)² + (4/5)² = 1 .

(b) The distance between points (2,-5) and (-7,-5) is 9 units .

(c) The midpoint of the line segment that joins the given points is given by: (-5/2,-5) .

In the question ,

it is given that ,

the points given is (3/5 , 4/5)

(a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)^2 + (4/5)^2 = 1

that is

9/25 + 16/25 = 1

25/25 = 1

1 = 1

hence proved that the point (3/5, 4/5) is on the unit circle .

(b)  The distance between (2, -5) and (-7, -5) is calculated using the formula

\(=\)√(x₂ - x₁)² \(+\) (y₂ - y₁)²

= √(-7 - 2)² + (-5 -(-5))²

= √(-9)² + (-5 + 5)²

= √(-9)² = √81

= 9 units

(c) the mid point joining the points (2, -5) and (-7, -5) is (a,b) that is calculated by

a = (2-7)/2     ,   b = (-5-5)/2

a = -5/2        ,     b = -10/2

a = -5/2 and b = -5

the mid point is (-5/2,-5)  .

Therefore , (a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)² + (4/5)² = 1 .

(b) The distance between points (2, -5) and (-7, -5) is 9 units  .

(c) The midpoint of the line segment that joins the given points is given by (-5/2,-5)  .

The given question is incomplete , the complete question is

(a) To show that the point (3/5, 4/5) is on the unit circle, we need to prove that (3/5)² + (4/5)² =        .

(b) The distance between (2, -5) and (-7, -5) is         .

(c) The midpoint of the line segment that joins the given points is given by  (     ,     )    .

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Answer:

B

Step-by-step explanation:

The table that best shows a function that is increasing only over the interval (-2,1) is; Table B

From the given tables, we can say that a function is increasing when for increase in x-values, y-value should also increase.

We have to find a table from the given options which shows a function that is increasing only over the interval (-2,1) and nowhere else.

If we take the values of y from the values of x as -3, -2, -1, 0, 1, 2, then the values of y corresponding to x will increase from x = -2 to x = 1 and for x = -3 it will increase and for x = 2 also the value of y will decrease.

Thus, the second table will be correct for the given function.  

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Answer:

It will be above the ground in C

Step-by-step explanation:

If 95% prediction interval for a new observation from a distribution is computed based on a random sample from that distribution, then 95% of new observations from that distribution should fall within the prediction interval.

(a) FALSEIf the correlation between hours spent on social media and self-reported anxiety levels in high school students was found to be r=.8 in a large sample of high school students, this would not be sufficient evidence to conclude that increased use of social media causes increased levels of anxiety. The relationship between these two variables may be caused by a number of other factors, and correlation does not imply causation.

(b) TRUEA criminal trial in the United States can be formulated as a hypothesis test with H0: The defendant is not guilty and Ha: the defendant is guilty. In this framework, rendering a guilty verdict when the defendant is not guilty is a type II error.

(c) TRUELinear models cannot describe any nonlinear relationships between variables.

(d) TRUEIf 95% prediction interval for a new observation from a distribution is computed based on a random sample from that distribution, then 95% of new observations from that distribution should fall within the prediction interval.

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Answer:

the answer is D. \((7x + 3) 8\)

Step-by-step explanation:

hope this helps :)

Answer:

The quadrilateral formed is a trapezoid

Step-by-step explanation:

In this case, it is necessary to know what points A, B, C, and D.

If the points are equal to the following coordinate points

A (-2, 1)

B (2, 1)

C (3, -2)

D (-3, -2)

As shown in the image the answer would be a trapezoid.

________________________________

The figure cannot be a square, a rhombus or a rectangle since by definition these are:

A square has all sides of equal length and all its right angles.

A rhombus is a parallelogram that has all sides of equal length and all its angles different from right angles.

A rectangle is a parallelogram that has all its right angles.

The figure that we obtain is neither a parallelogram nor does it have all its right angles.

118,813,760 different combination license plates can the country produce

Permutations and combinations:

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.

Given that

In a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet

X = 10 × 26 × 26 × 26 × 26 × 26

  = 10 × 11881376

  = 118,813,760

118,813,760 different combinations license plates can the country produce

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Answer: \(\$25\)

Step-by-step explanation:

Given

Mr. Cole has $200

He keeps three-fourth of money i.e.

\(\Rightarrow 200\times \dfrac{3}{4}=\$150\)

Remaining money is \(=200-150=\$50\)

If $50 dollar is distributed among two-child, then each child will get

\(\Rightarrow \dfrac{50}{2}=\$25\)

Step-by-step explanation:

it is given r=s

then, t =100.

2s+t=180°

2s=180-100

2s=80°

s=40° = r

hope this helps you.

There are 120 different samples of size 3 that can be taken from a finite population of size 10 without replacement.

To calculate the number of different samples of size 3 that can be taken from a finite population of size 10 without replacement, we can use the concept of combinations.

The formula for calculating combinations is given by:

C(n, k) = n! / (k! * (n - k)!)

Where n is the population size and k is the sample size.

In this case, n = 10 (population size) and k = 3 (sample size).

Using the formula, we can calculate the number of combinations:

C(10, 3) = 10! / (3! * (10 - 3)!)

= 10! / (3! * 7!)

= (10 * 9 * 8) / (3 * 2 * 1)

= 120

Therefore, there are 120 different samples of size 3 that can be taken from a finite population of size 10 without replacement.

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The area of a circle can be calculated using the formula:

Area = π * (radius)^2

Given that the diameter of the nail head is 10 millimeters, we can find the radius by dividing the diameter by 2:

Radius = 10 mm / 2 = 5 mm

Now, we can substitute the radius into the area formula:

Area = π * (5 mm)^2

Using an approximation of π as 3.14, we can calculate the area:

Area ≈ 3.14 * (5 mm)^2

Area ≈ 3.14 * 25 mm^2

Area ≈ 78.5 mm^2

Therefore, the measurement closest to the area of the nail head is 78.5 mm².

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Answer: 340 cm3  

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:  

Circumference = 2π radius

Replacing with the circumference value and solving for r:

31.416 =2π r

31.416 /2π =r

5cm =r

And then:

Volume of a cone = 1/3 x π x radius^2 x height  

Replacing with the values given:  

V = 1/3 π (5)^2 (13) = 340 cm3  

Feel free to ask for more if needed or if you did not understand something.  

Notice that the intersecton of both inequality is located approximately at the point (150,50). This means that there are at least 100 more feet of quarter inch pipe than half inch pipe, and since the combined cost is represented by the inequality

then, it must not cost more than 800. Therefore, the correct option is a)

Answer:

39.4 or 40 % depending on which place you round it to

Step-by-step explanation:

18 * 1.10= 19.8      

(19.8  - 12) / 19.8 = 0.39393939...

so 39.4 or 40 % depending on which place you round it to

Answer:

a. 65

b. D

Step-by-step explanation:

The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65

D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone

Answer:

$359.04

Step-by-step explanation:

384 x .935 = 359.04

To find the mean number of calls per hour, we divide the average number of calls per day by 24:

Mean number of calls per hour = 19.2/24 = 0.8

a) To find the probability that in a randomly selected hour the number of calls is exactly 2, we use the Poisson distribution formula:

P(X = 2) = (e^-0.8)*(0.8^2)/(2!) = 0.213

b) To find the probability that in a randomly selected hour the number of calls is more than 2, we can use the complement rule and subtract the probability of getting 0, 1, or 2 calls from 1:

P(X > 2) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

P(X > 2) = 1 - (e^-0.8)*(0.8^0)/(0!) - (e^-0.8)*(0.8^1)/(1!) - (e^-0.8)*(0.8^2)/(2!)

P(X > 2) = 0.579

c) To find the probability that in a randomly selected hour the number of calls is less than 2, we add the probabilities of getting 0 or 1 call:

P(X < 2) = P(X = 0) + P(X = 1)

P(X < 2) = (e^-0.8)*(0.8^0)/(0!) + (e^-0.8)*(0.8^1)/(1!)

P(X < 2) = 0.264.

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Answer:

-1=(30+x)÷6

-6=30+x

-6-30=x

x=-36

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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The mass of the solid hemisphere H is 4πK.

To find the mass of the solid hemisphere H, we need to integrate the density over its volume and then multiply by the volume.

Let's set up the problem in spherical coordinates. In spherical coordinates, the density function can be written as ρ = Kr, where ρ is the density, K is the constant of proportionality, and r is the distance from the center of the base.

The volume element in spherical coordinates is given by dV = r^2 sin(θ) dr dθ dϕ, where r ranges from 0 to the radius of the hemisphere (4), θ ranges from 0 to π/2 (as we are dealing with the upper half of the hemisphere), and ϕ ranges from 0 to 2π.

Now, let's integrate the density over the volume of the hemisphere:

m = ∫∫∫ ρ dV

= ∫∫∫ K r (r² sin(θ) dr dθ dϕ)

= K ∫(0 to 2π) ∫(0 to π/2) ∫(0 to 4) r³ sin(θ) dr dθ dϕ.

Evaluating the innermost integral first:

∫(0 to 4) r³ dr = [r⁴/4] (0 to 4) = 4⁴/4 - 0 = 64.

Now we can substitute this result into the remaining double integrals:

m = K ∫(0 to 2π) ∫(0 to π/2) 64 sin(θ) dθ dϕ.

Evaluating the next integral:

∫(0 to π/2) sin(θ) dθ = [-cos(θ)] (0 to π/2)

= -cos(π/2) - (-cos(0))

= -(-1) - (-1) = 1 + 1 = 2.

Substituting this result into the final integral:

m = K ∫(0 to 2π) 2 dϕ

= 2K [ϕ] (0 to 2π)

= 2K (2π - 0)

= 4πK.

Therefore, the mass of the solid hemisphere H is 4πK.

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Answer:

A and C

Step-by-step explanation:

A is correct because converting the percentage to decimal form will give you the value of that percentage, and 62% will be the same as 0.62 in decimal form.

C is the same in a less simplified form because 62/100 = 0.62, so it is the same as A when you convert it to decimal form, 0.62 · 45.

The rank of matrix A can be determined based on the given information in the question is as follows.

The rank of a matrix refers to the maximum number of linearly independent columns (or rows) in the matrix. From the given information:

a. Since A has linearly independent columns, the rank is equal to n, where n is the number of columns.

b. If Null(A)={0}, it means that the only solution to the homogeneous equation Ax=0 is the trivial solution (where x=0). This implies that the columns of A are linearly independent. Since A is a 6-by-4 matrix, the rank is equal to the number of columns, which is 4.

c. The dimension of the null space (denoted as dim(Null(A))) is equal to the number of linearly independent solutions to the homogeneous equation Ax=0. In this case, dim(Null(A))=3, which means that there are 3 linearly independent solutions. Since A is a 5-by-6 matrix, the rank can be found by subtracting the dimension of the null space from the number of columns: rank(A) = 6 - dim(Null(A)) = 6 - 3 = 3.

d. The determinant of a square matrix measures its invertibility. If det(A) is non-zero, it means that A is invertible, and an invertible matrix has full rank. Therefore, the rank of A is equal to the number of columns, which is 3.

e. The dimension of the row space (denoted as dim(Row(A))) represents the number of linearly independent rows in A. Since dim(Row(A))=3, it means that there are 3 linearly independent rows. Thus, the rank of A is 3.

f. An invertible matrix is non-singular and has full rank. Therefore, if A is a 4-by-4 invertible matrix, its rank is equal to the number of columns, which is 4.

g. If the system Ax=b has either a unique solution or no solution, it means that the column space of A has dimension 3. Hence, the rank of A is 3.

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Answer: 12 for both

Step-by-step explanation: 13 - 1 12 thats the current well if the current is 12 then sit still and your going 12 mph

Answer:

x = 112°

Step-by-step explanation:

The missing two internal angles of the triangle measure:

\(180-126=54^{0}\)

\(180-58-54=68^{o}\)

then:

\(x=180-68=112^{o}\)

Hope this helps

The degrees of freedom (df) for the within-groups scenario is 27.

In the F-test, which is used to compare variances between groups, the degrees of freedom consist of two components: the numerator df and the denominator df. The numerator df corresponds to the number of groups being compared, while the denominator df represents the total number of observations minus the number of groups.

In the given scenario, F(2,27) = 8.80 indicates that the F-test is comparing variances between two groups. The numerator df is 2, representing the number of groups being compared.

To determine the within-groups df, we need to calculate the denominator df. The denominator df is calculated as the total number of observations minus the number of groups. Since the denominator df is given as 27, it implies that the total number of observations is 27 + 2 = 29, considering the two groups being compared.

Therefore, the within-groups df is 27, as it represents the total number of observations minus the number of groups in the F-test.

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Answer:

.2 Cm

Step-by-step explanation:

Answer:

y=5 m=3

Step-by-step explanation:

i mean it shows you the y intercept and the slope and the linear function all in that one picture

Answer:

y-intercept = 5  

slope = -1/3

Step-by-step explanation: