Q # 8 please solve the question

Answers

Answer 1

Answer: Let the two numbers be x and y

Their sum is 20, so we can write
x + y = 20

Their difference is 14, so we can write:
x- y = 14

Adding the two equations, we get:

2x = 34
x = 17

Using the value of x, in first equation, we get:

17 + y = 20
so,
y = 3

Thus the two numbers are 17 and 3.

So, option a is the correct answer

Answer 2

Answer: For this case we have the following system of equations:
x + y = 20
x-y = 14
Where,
x: real number
y: real number
Solving the system we have:
x = 17
y = 3
Therefore, the numbers are:
17 and 3
Answer:
17 and 3
option 1

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Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4
What is the distance between (3, 5.25) and (3, –8.75)?

What is the equation of the line that passes through the point (-8,5) and has a slope
of o?

Answers

Answer: y = 5

Step-by-step explanation:

If the slope is 0, the graph of the line is a horizontal line (parallel to the x-axis). 0 slope means it is flat.

Here it passes through the y-axis at +5 and passes through every value of x.

Final answer:

The equation of a line with slope 0 that passes through the point (-8,5) is y = 5.

Explanation:

The equation of a line can be found using the slope-intercept form y = mx + b, where 'm' represents the slope and 'b' is the y-intercept. The given slope of the line is 0, which means the line is horizontal with equation y = b. However, our line needs to pass through the point (-8,5), and at this point, the y coordinate is 5. Hence, for this line, b equals 5. So, the equation of the line is y = 5.

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Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.Translation: (x, y)→(x−3, y)
Reflection: in the line y=−1

Answers

The image of triangle △RST after the glide reflection, which involves a translation of (x, y) → (x - 3, y) followed by a reflection in the line y = -1, is △R'S'T' with vertices R'(1, -2), S'(4, -5), and T'(3, -6).

To graph triangle △RST with vertices R(4, 1), S(7, 3), and T(6, 4), and its image after the glide reflection, we'll follow these steps:

Start by plotting the original triangle △RST using the given vertices:

R(4, 1)

S(7, 3)

T(6, 4)

Now, let's apply the translation to every vertex of the triangle.

The translation (x, y) → (x - 3, y) shifts each point 3 units to the left (in the negative x-direction).

Apply this translation to each vertex:

R' = (4 - 3, 1) = (1, 1)

S' = (7 - 3, 3) = (4, 3)

T' = (6 - 3, 4) = (3, 4)

Next, we'll apply the reflection in the line y = -1 to the translated vertices. The reflection in this line flips each point across the line.

To do this, we'll calculate the distance between each point and the line y = -1 and then move the same distance in the opposite direction.

R'' is reflected across the line y = -1 to (1, -2).

S'' is reflected across the line y = -1 to (4, -5).

T'' is reflected across the line y = -1 to (3, -6).

Now, we have the vertices of the image triangle △R'S'T'.

You can plot these points on the same graph as the original triangle to visualize the glide reflection transformation.

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Answer:

Step-by-step explanation:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

On an intramural softball team, the proportion of hits to at bats for the entire team during the last season was 30% of 300 attempts. Estimate the true proportion of hits using a 90% CI. The answers need to be proportions (not percents) and rounded to the nearest hundredth (two (2) decimal places) to be counted as correct. (For example, if my CI is (0.1002, 0.2159) then they need to be input as 0.10 and 0.22 to be correct. **These are not the answers to this question :-) **)The lower bound is____ and the upper bound is ____

Answers

Answer: The lower bound is 0.26 and the upper bound is 0.34.

Step-by-step explanation:

Formula to find the confidence interval for population proportion (p) is given by :_

$\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

, where n= sample size

z* = Critical value. (two-tailed)

$\hat{p}$ = Sample proportion.

Let p be the true population proportion of hits to at bats for the entire team during the last season.

As per given , we have

n= 300

$\hat{p}=0.30$

By z-table , the critical value for 90% confidence interval : z* = 1.645

Now , 90% confidence interval for the proportion of hits to at bats for the entire team during the last season:

$0.30\pm (1.645) \sqrt{(0.30(1-0.30))/(300)}$

$0.30\pm (1.645) √(0.0007)$

$0.30\pm (1.645) (0.0264575131106)$

$\approx0.30\pm0.0435$

$=(0.30-0.0435,\ 0.30+0.0435)\n\n=(0.2565,\ 0.3435)\approx(0.26,\ 0.34)$

The lower bound is 0.26 and the upper bound is 0.34.

Find the quotient of 2/5 and 4/5
Give your answer as a fraction in its simplest form.

Answers

What is the quotient?

The quotient is the number which is generated when we perform division operations on two numbers.

The quotient of 2/5 and 4/5.

The quotient of 2/5 and 4/5 is determined in the following steps given below.

$\rm Quotient =((2)/(5))/((4)/(5))\n\nQuotient =(2)/(5)* (5)/(4)\n\n Quotient =(2)/(4)\n\nQuotient =(1)/(2)$

Hence, the quotient of 2/5 and 4/5 is 1/2.

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Answer:

$(1)/(2)$

Step-by-step explanation:

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, while profits increased $30 million per year. Select the correct graph of this function. (2 points)A)There is a graph of a line that has a y intercept that is approximately $80 million and passes through the point of approximately x equals 2 years and y equals $140 million.

B)There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.

C)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 2 years.

D)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 0.6 years.

Answers

Answer:

I am not really good at this but...if I had to choose the ones that make sense

A and B

Step-by-step explanation:

Your are incresing the amount is going up, so if you go backwards you woild have to the negatuves.

Then again I woild not trust my math for the second answer cause I am no good at math.

What value of y makes the sentence true?y + 3 = 30
Type your answer in the box below.
I
y =

Answers

Hey there!

y + 3 = 30

SUBTRACT 3 to BOTH SIDES

y + 3 - 3 = 30 - 3

CANCEL out: 3 - 3 because that gives you 0

KEEP: 30 - 3 because that gives you the value of y

y = 30 - 3

30 - 3 = y

y = 27

Answer: y = 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

y = 27
Subtract 3 from both sides to get y by itself.

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