What is the vertical intercept (or y-intercept) of the line below?
(0,6)
(-3,0)

Answer:

5.0

Step-by-step explanation:

The data in order looks like so:

98.6, 99.7, 100.2, 101.8, 102.9, 103.6

Take the greatest value and subtract it from the least value to get the range of the data:

103.6-98.6=5

5 is your answer

Hope this helps!

Answer:

A. 5.0

Step-by-step explanation:

To find the range you would minus the largest number which in this case is 103.6 then you minus that by the smallest number which would be 98.6 and you would get 5.0.

Answer:

its 3/4 i belive is the answer

Step-by-step explanation:

Answer:

-15/38

Step-by-step explanation:

positive divide by a negative is a negative

The graph of the points are,

X = (3, 3)

Y = (1, 1)

Now, We can apply the given transformation of a translation along <1, 0> and a rotation of 90 degrees clockwise about the origin.

Here, The translation along <1, 0> means that to move every point on the graph 1 unit to the right.

And, The rotation of 90 degrees clockwise about the origin means to  rotate every point 90 degrees in the clockwise direction around the origin, which is the point (0,0) on the plane.

So, for transform the line segment XY, the translation by adding 1 to the x-coordinate of each point.

Hence,. We get;

X =  (-3, 3)

Y = (-1, 1).

Next, we can apply the rotation by using the formula:

(x', y') = (xcosθ + ysinθ, -xsinθ + ycosθ)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the transformed point, and θ is the angle of rotation (in radians).

For rotating 90 degrees clockwise, we can substitute θ = -π/2 (negative because we are rotating clockwise) into the formula to obtain:

(x', y') = (y, -x)

So, to transform point X (-3,3), we have:

(x', y') = (y, -x) = (3,3)

And to transform point Y (-1,1), we have:

(x', y') = (y, -x) = (1,1)

Thus, The graph of the points are,

X = (3, 3)

Y = (1, 1)

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Answer:

Solution

\((\frac{3}{2},3)\)

Step-by-step explanation:

Answer:

1/2 + 1/8

Step-by-step explanation:

5/8

Answer:

B  h = 3/2 s

Step-by-step explanation:

slope = rise/run = 3/2

y-intercept = 0

equation: y = 3/2 x

In this case, h = 3/2 s

Answer:

A. (3,2) . I recommend using desmos to find the coordinates

9514 1404 393

Answer:

  A.  (3, 2)

Step-by-step explanation:

The midpoints of the diagonals are the same point, so you have ...

  X = (A +C)/2 = (B +D)/2

  A +C = B +D . . . . . . . multiply by 2

  A +C -B = D . . . . . . . subtract B

The coordinates of D are ...

  D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)

  D = (3, 2)

Answer:

20/3 batches of cookies can be made with 5 pounds of flour.

Step-by-step explanation:

given-

A recipe calls for 3/4 of a pound of flour to make 1 batch of cookies

asking-how many batches of cookies can be made with 5 pounds of flour

3/4 pound of flour=> 1 batch of cookies

then,

1 pound of flour=> 4/3 batch of cookies

so, required answer---

5 pound of flour=>5*( 4/3) batch of cookies

  =>20/3=6.66  batch of cookies

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Answer:

vvgvgvgvghgvggvt

Step-by-step explanation:

Answer:

dont scam people

Step-by-step explanation:

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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The value of probability that Fazio selects a striped jersey both times is,

⇒ 1 / 25

Since,

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

For each jersey, there are possible options, two of which are striped, is,

2+5+3 = 10

So, twice shirts probability,

⇒ 2/10

p = (2/10)² = 4/100 = 1/25

Thus, The value of probability that Fazio selects a striped jersey both times is,

⇒ 1 / 25

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The probability that students will participate in two team sports is 0.167.

According to the statement

we have to find that the probability that the student will choose to participate in two team sports.

So, For this purpose,

Probability is a the chance that a given event will occur.

So, the given information is :

There are four track events, two academic events, and six team sports events.

It means total number of events is 12 events.

and the probability is

probability that students will participate in two team sports = 2/12

probability that students will participate in two team sports = 1/6

probability that students will participate in two team sports = 0.167.

So, The probability that students will participate in two team sports is 0.167.

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28inch^2

Rectangle:

[Length x Breadth]

5 + 3 = 8inch

8 x 2.5 = 20inch^2

Right Triangle:

[1/2 x Base x Height]

1/2 x 5 x 2 = 1/2 x 10

= 5inch^2

Left Triangle:

[1/2 x Base x Height]

1/2 x 3 x 2 = 1/2 x 6

= 3inch^2

20 + 5 + 3 = 28inch^2

From the information given in the Venn Diagram and the attached table,

a = 13

b = 28

c = 6

d = 22

e = 31

See the calculation below.

A Venn diagram is a famous diagram form that depicts the logical relationship between sets. It was popularized by John Venn in the 1880s.

The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach introductory set theory and to show simple set connections.

With regard to the above calculation, the key to unlocking other unknowns is to first solve for E.

The last row gives the total for each column. Hence, adding 15 + 16 gives us the value of e.

15 + 16 = 31 This can also be arrived at by 50-19 = 31

The Venn diagram reads that 6 Males like cats Hence,

c= 6
d = 6 +16 = 22
a = 19-6 = 13
b = 50 -22 = 28

Hence, a = 13, b = 28, c = 6, d = 22, e = 31

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Answer:

From the information given in the Venn Diagram and the attached table,a = 13b = 28c = 6d = 22e = 31

Step-by-step explanation:

From the information given in the Venn Diagram and the attached table,a = 13b = 28c = 6d = 22e = 31

Answer:

\(→y = \frac{ - 1}{2} ( - 2) + 2\)

\(→y = 1 + 2\)

\(→y = 3\)

Answer:

\(y=3\)

Step-by-step explanation:

First distribute:

\(y=-\frac{1}{2} (-2)+2\)

\(y=1+2\)

Add:

\(y=3\)

Hope this helps! :)

Answer:

7,000 - 2,386 = 4,614

The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.

To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:

Given:

u = 4i - 6j

v = 5i + 4j

Step 1: Calculate the dot product of u and v.

The dot product of two vectors u and v is given by:

u · v = |u| |v| cosθ

where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.

To calculate the dot product, we multiply the corresponding components of u and v and sum them:

u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4

Step 2: Calculate the magnitudes of vectors u and v.

The magnitude of a vector is given by:

|u| = √(u₁² + u₂²)

For vector u:

|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21

For vector v:

|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40

Step 3: Calculate the angle θ.

Using the dot product formula mentioned earlier, we have:

-4 = (7.21)(6.40)cosθ

Solving for cosθ:

cosθ = -4 / (7.21 * 6.40) ≈ -0.086

To find θ, we can take the inverse cosine (arccos) of cosθ:

θ ≈ arccos(-0.086) ≈ 1.66 radians

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Answer:

see explanation

Step-by-step explanation:

Given the points (a, c ) and (b, c )

Since the y- coordinates are equal the distance formula simplifies to

d = \(\sqrt{(x_{2}-x_{1})^2 }\)

with x₁ = a and x₂ = b

d = \(\sqrt{(b-a)^2}\) = b- a

To find the scale factor, first divide target volume of the large bag

by the volume of the small bag and then find the 3rd root of that number. Rounded to the nearest thousandth, that is 2.714.

Next, take that number to the 2nd power. The surface area of the bag will increase by about (to the nearest tenth) a factor of 7.374.

To find the scale factor, first divide the target volume of the large bag by the volume of the small bag:

40 ÷ 2 = 20

Next, find the 3rd root of that number, rounded to the nearest thousandth:

20^(1/3) ≈ 2.714

Next, take that number to the 2nd power to find the scale factor for the surface area:

2.714^2 ≈ 7.374

The surface area of the bag will increase by a factor of about 7.4 (to the nearest tenth).

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Answer:

Latasha is correct because the sum of a mixed number and a fraction is always a mixed number.

Step-by-step explanation:

Maura and Latasha wrote these steps to find the sum of 1 2 - thirds and One-fifth. Maura's work. 1 and 2-thirds plus 1-fifth. 6-thirds plus 1-fifth. 30-fifteenths plus 3-fifteenths. 33-fifteenths equals 2 and 3-fifteenths. Latasha's work. 1 and 2-thirds plus 1-fifth. (1 plus 0) plus (2-thirds plus 1-fifth). (1) plus (10-fifteenths plus 3-fifteenths). 1 and 13 fifteenths. Which best describes the correct sum?

Solving for the correct sum

The sum of 1 2 - thirds and One-fifth

Expressing this Mathematically

1 2/3 + 1/5

1 + ( 2/3 + 1/5)

The Lowest Common Denominator is 15

1 + (10 + 3/15)

1 13/15

Latasha is correct

Latasha is correct because the sum of a mixed number and a fraction is always a mixed number.

Answer:

the answer is B hope it helps.

Step-by-step explanation:

B is the answer.

a) The probability of waiting more than 10 minutes for a cab is 0.303 or approximately 30.3%.

b) The probability of waiting fewer than 20 minutes for a cab is 0.726 or approximately 72.6%.

b) The mean number of cabs per hour that we need to have a probability of waiting more than 10 minutes for a cab of 0.1 is 7.88.

(a) The probability of waiting more than 10 minutes for a cab can be calculated using the Poisson distribution formula. Let's denote the average rate of cabs passing by as λ. Since the mean is given as five cabs per hour, we can set λ = 5. We need to find the probability of waiting more than 10 minutes, which is equivalent to waiting for 1/6 of an hour. We can use the Poisson distribution formula to calculate this probability:

P(X > 0.1667) = 1 - P(X ≤ 0.1667) = 1 -\(e^{-\lambda t}\)Σ(k=0 to ⌊λt⌋) (λt)ˣ / k!

where X is the number of cabs passing by in 1/6 of an hour, t = 1/6, λ = 5, and ⌊λt⌋ denotes the floor function of λt. Plugging in the values, we get:

P(X > 0.1667) = 1 - P(X ≤ 0.1667) = 1 - \(e^{-5(1/6)}\)Σ(k=0 to ⌊5(1/6)⌋) (5(1/6))ˣ / k!

= 1 - \(e^{-0.833}\)Σ(k=0 to 0) (0.833)ˣ / k!

= 0.303

(b) The probability of waiting fewer than 20 minutes for a cab can also be calculated using the Poisson distribution formula. We need to find the probability of waiting for 1/3 of an hour since 20 minutes is equivalent to 1/3 of an hour. Using the same formula as above, we get:

P(X ≤ 0.333) = \(e^{5(1/3)}\)Σ(k=0 to ⌊5(1/3)⌋) (5(1/3))ˣ / k!

= 0.726

(c) Finally, to find the mean number of cabs per hour so that the probability of waiting more than 10 minutes is 0.1, we need to solve for λ in the Poisson distribution formula:

P(X > 0.1667) = 1 - \(e^{-\lambda(1/6)}\)Σ(k=0 to ⌊λ(1/6)⌋) (λ(1/6))ˣ / x! = 0.1

Using trial and error or a numerical solver, we can find that the value of λ that satisfies this equation is approximately 7.88.

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The correct interpretation of the given confidence interval is C. We are 98% confident that the proportion of obese clients losing weight under strategy 1 is between 13% less and 9% more than the proportion of obese clients losing weight under strategy 2.

The confidence interval is given as (-0.13, 0.09), which represents the range within which the true difference in proportions (p1 - p2) is likely to fall with a confidence level of 98%.

The negative value of -0.13 indicates that the proportion of obese clients losing weight under strategy 1 may be 13% less than the proportion under strategy 2.

The positive value of 0.09 indicates that the proportion of obese clients losing weight under strategy 1 may be 9% more than the proportion under strategy 2.

Since the confidence interval includes both positive and negative values, it suggests that the true difference in proportions could be either positive or negative.

The confidence level of 98% means that if we were to repeat the study and construct 100 different confidence intervals, about 98 of those intervals would capture the true difference in proportions (p1 - p2).

Therefore, we can conclude that we are 98% confident that the proportion of obese clients losing weight under strategy 1 is between 13% less and 9% more than the proportion of obese clients losing weight under strategy 2.

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The difference between the number of correct and incorrect answers is 34.

To find the difference between the number of correct and incorrect answers, we first need to determine the number of correct answers. We know that the point score is obtained by dividing the final score by 10. In this case, the point score is 45. Since each correct answer is worth 1 point, the number of correct answers is equal to the point score. Therefore, the student answered 45 questions correctly.  

Next, we need to find the number of incorrect answers. Each incorrect answer is worth 4 1-point, so we divide the point score by 4. In this case, 45/4 equals 11.25.

Rounding to the nearest whole number, we get 11. Therefore, the student answered 11 questions incorrectly.  

Finally, we calculate the difference between the number of correct and incorrect answers by subtracting the number of incorrect answers from the number of correct answers: 45 - 11 = 34.

Thus, the difference between the number of correct and incorrect answers is 34.

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Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

False

That is an equation as shown by the = sign.

An inequality has an inequality sign like '<' .

Answer:

-903,670

Step-by-step explanation:

-725628

- 178042

—-------------

_903,670

The language that Pattie and Jairo speak to each other upon meeting was Spanish.

Holly Goldberg Sloan's novel "Counting by Sevens" centers around Willow Chance, a math and science prodigy who finds difficulty in connecting with others emotionally.

Following an unforeseen incident that drastically alters her life, Willow meets various individuals whose guidance enables her to understand love, friendship, and family. When Pattie and Jairo first encounter each other, they communicate solely in Spanish. Overall, the book is an inspiring and reflective read, skillfully examining topics such as resilience, loss, grief, and community.

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Single Sampling Plan: AQL = 0, LTPD = 3.41, AOQ = 1.79 Double Sampling Plan: AQL = 0, LTPD = 2.72, AOQ = 1.48

The values for the ASN (Average Sample Number) curves for the given single sampling plan and double sampling plan are:

Single Sampling Plan (n=80, c=3):

ASN curve values: AQL = 0, LTPD = 3.41, AOQ = 1.79

Double Sampling Plan (n1=50, c1=1, r1=4, n2=50, c2=4, r2):

ASN curve values: AQL = 0, LTPD = 2.72, AOQ = 1.48

The ASN curves provide information about the performance of a sampling plan by plotting the average sample number (ASN) against various acceptance quality levels (AQL). The AQL represents the maximum acceptable defect rate, while the LTPD (Lot Tolerance Percent Defective) represents the maximum defect rate that the consumer is willing to tolerate.

For the single sampling plan, the values n=80 (sample size) and c=3 (acceptance number) are used to calculate the ASN curve. The AQL is 0, meaning no defects are allowed, while the LTPD is 3.41. The Average Outgoing Quality (AOQ) is 1.79, representing the average quality level of outgoing lots.

For the equally effective double sampling plan, the values n1=50, c1=1, r1=4, n2=50, c2=4, and r2 are used. The AQL and LTPD values are the same as in the single sampling plan. The AOQ is 1.48, indicating the average quality level of outgoing lots in this double sampling plan.

These ASN curve values provide insights into the expected performance of the sampling plans in terms of lot acceptance and outgoing quality.

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