Vicky is a computer programmer. last week she wrote 6,013 lines of code. this week she wrote about half as much.

Answer:

\(\frac{4}{31}\)

Step-by-step explanation:

\(\frac{2}{5}\) ÷ \(3\frac{1}{10}\)

= \(\frac{2}{5}\) ÷ \(\frac{31}{10}\)

= \(\frac{2}{5}\) × \(\frac{10}{31}\)

= \(\frac{4}{31}\)

Answer:

Exact Form:

\(\frac{4}{31}\)

Decimal Form:

0.129032258....

Hope this helps! :)

The measure of angle <12 in quadrilateral WXYZ is 150 degrees.  adjacent angles in a rectangle are supplementary (add up to 180 degrees), we can determine the measure of angle <12.

Since quadrilateral WXYZ is a rectangle, it has several properties that we can use to find the measures of its angles. One of these properties is that opposite angles in a rectangle are congruent. Therefore, if m<1 is 30 degrees, then we know that m<3, which is opposite to <1, is also 30 degrees.

Additionally, since adjacent angles in a rectangle are supplementary (add up to 180 degrees), we can determine the measure of angle <12.

Let's denote the measure of angle <12 as x degrees.

Since <1 and <12 are adjacent angles and m<1 is 30 degrees, we have:

m<1 + m<12 = 180 degrees

Substituting the known values:

30 + x = 180

Solving for x:

x = 180 - 30

x = 150 degrees

Therefore, the measure of angle <12 in quadrilateral WXYZ is 150 degrees.

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Answer: There are 350 milliliters of alcohol in the bottle

Step-by-step explanation:

Step 1

The amount of solution  contained in the bottle = 500 millilitres

The percentage of alcohol contained in  the bottle  of 500 millilitres= 70%.

Therefore  amount of alcohol in the solution is  70% of 500 millilitres

Step 2 --- Solving we have

70/100 × 500 =  0.70 x 500 =  350 ml

There are 350 millilitres of alcohol in the bottle.

The equation of the circle which has a diameter with endpoints (-3,2) and (1,-6) is x² + y² +6x - 4y -15 = 0.

Circle is the 2D geometry which is round in shape with radius R.

The diameter with endpoints (-3,2) and (1,-6). is

D  = √ [(1+3)²+(-6-2)²]

D  = 8.944 units

Radius of circle is R = D/2

R = 8.944 units /2

R =4.4721 units

Given is the general form of the equation of a circle passing through a point and having radius R is

(x -h)² +(y - k)² = R²

Substitute the coordinate (h,k) = (-3,2) and radius R = 4.4721

(x +3)² +(y - 2)² = 4.471²

x² + y² +6x - 4y +5 = 20

x² + y² +6x - 4y -15 = 0

Thus, the equation of the circle which has a diameter with endpoints (-3,2) and (1,-6) is x² + y² +6x - 4y -15 = 0.

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Answer:

42

Step-by-step explanation:

5 * 4 + (6 / [ 2 + 1 ] ) *11

5 * 4 +2 * 11

20 +2 * 11

20+ 22

42

Answer:

Step-by-step explanation:

5 x 4 + 6/3 x 11

20 + 2 x 11

20 + 22

42

Answer:

3 - (-5) , (-1) - 2

Step-by-step explanation:

The distance formula is X2 - x1 and Y2 -Y1. Just replace the X and Y with your coordinate values.

Answer:

A

Step-by-step explanation:

I don't know how to explain ????

Answer: (−2,−6) Focus: (−2,−234) Axis of Symmetry: x=−2 Directrix: y=−254x

Step-by-step explanation: it different ways to answer so i just give you all of them

Answer:

9 = -254x

Step-by-step explanation:

I did the test

Hope this helps :)

The vertex form equation is illustrated below.

Directrix (d): The directrix is the horizontal line y = -2.

Focus (F): The focus is the point (0, 2).

Vertex (V): The vertex is the point (0, 0).

Equation: The equation of the parabola is y = 1/4x^2.

The vertex form of a parabola is given by y = a(x-h)^2 + k, where (h, k) is the vertex. We already know the vertex of this parabola, which is (0, 0). To find the value of a, we can use the fact that the distance between the focus and the vertex is equal to the distance between the directrix and the vertex.

The distance between the focus (0, 2) and the vertex (0, 0) is 2 units. The distance between the directrix y = -2 and the vertex (0, 0) is also 2 units. Therefore, we can say that 1/(4a) = 2, or a = 1/8.

So, the vertex form equation of the parabola is y = 1/8(x-0)^2 + 0, which simplifies to y = 1/8x^2.

Vertex: The vertex is (0, 0).

Axis of Symmetry (AOS): The axis of symmetry is the vertical line x = 0.

Domain: The domain of the parabola is all real numbers, because the parabola continues indefinitely in both directions along the x-axis.

Range: The range of the parabola is y >= 0, because the lowest point on the parabola is the vertex (0, 0).

Transformations: The only transformation applied to the basic parabola y = x^2 is a vertical compression by a factor of 1/8.

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a) The probability of the student answering all the questions wrong by guessing is (4/5)^5 ≈ 0.3277. b) The probability of the student getting an A or a B on the quiz by guessing is 1 - P(all wrong) - P(all C or D or E) = 1 - (4/5)^5 - (1/5)^5 ≈ 0.9184.

a) To answer all the questions wrong, the student needs to guess the incorrect answer for each question. Since there are 5 possible answers for each question and only one correct answer, the probability of guessing the wrong answer is 4/5. Since the student needs to guess wrong on all 5 questions, we multiply the probabilities together: \((4/5)^5 ≈ 0.3277.\)

b) To calculate the probability of getting an A or a B, we subtract the probability of answering all the questions wrong and the probability of answering all the questions with C, D, or E (the incorrect answers). The probability of answering all the questions with C, D, or E is (1/5)^5 because there is only one correct answer (A or B) out of 5 options. Therefore, the probability of getting an A or a B is 1 - (4/5)^5 - (1/5)^5 ≈ 0.9184.

Hence, the probability of the student getting an A or a B on the quiz by guessing is approximately 0.9184.

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The formula A = 1/2bh in terms of A and h is b = 2A/h and the measure of the base length is 34 feet.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

The formula A = 1/2bh

It is required to solve for b:

2A = bh

b = 2A/h

Plug A = 952 square feet

h = 56 feet

b = 2(952)/56

b = 34 feet

Thus, the formula A = 1/2bh in terms of A and h is b = 2A/h and the measure of the base length is 34 feet.

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The calculated value of x in the trapezoid is 16

From the question, we have the following parameters that can be used in our computation:

The trapezoid

The area of the trapezoid is given as

Area = 187 square cm

And the area is calculated as

Area = 1/2 * Sum of parallel sides * Height

using the above as a guide, we have the following:

1/2 * (x + 6) * 17 = 187

So, we have

(x + 6) = 22

When solved for x, we have

x = 16

Hence, the value of x is 16

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When a 4 is rolled on the die, the player is awarded 17 points.

When a 4.5 is rolled on the die, the player is awarded 19 points.

When a 9 is rolled on the die, the player is awarded 37 points.

Given the function that represents certain number of points is awarded to a player upon rolling a six sided die according to the function.

f(x) = 4x + 1

If the number of die rolled is 4, hence;

f(4) = 4(4) + 1

f(4) = 16 + 1

f(4) = 17

This shows that when a 4 is rolled on the die, the player is awarded 17 points.

If the number of die rolled is 4.5, hence;

f(4.5) = 4(4.5) + 1

f(4.5) = 18 + 1

f(4.5) = 19

This shows that when a 4.5 is rolled on the die, the player is awarded 19 points.

If the number of die rolled is 4, hence;

f(9) = 4(9) + 1

f(9) = 36 + 1

f(9) = 37

This shows that when a 9 is rolled on the die, the player is awarded 37 points.

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Answer:

The answer is B) -3 and 1/3

Explanation:

The answer must be between -3 and -4 because that is the location on the plot.

You count two ticks on the plot. The first one is 1/3. The second one is 2/3.

There is no third one because 3/3 would bring you to the next number.

The dot is on the first tick, meaning that it is 1/3. If the dot is between -3 and -4, you can conclude that the answer is -3 and 1/3.

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Answer:

B -3 1/3 because that is the place on the plot

The unit price for each pair of insulated socks in a package of 4 pairs costing $23.56 is $5.89.

The given information tells us that a package of insulated socks contains 4 pairs of socks. We need to find the unit price for each pair of socks, which is the price per pair of socks.

To find the unit price, we divide the total cost of the package by the total number of pairs of socks. The total cost is $23.56, and the total number of pairs of socks is 4. However, we need to remember that each pair of socks consists of 2 socks. Therefore, the total number of socks is 4 pairs x 2 socks/pair = 8 socks.

So, we divide the total cost of $23.56 by the total number of pairs of socks (4) to get the price per pair of socks, which is $5.89. Therefore, the unit price for each pair of socks is $5.89.

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Determine the number of laps Brianne run.

So Brianne run 6 laps around the lake.

The major portfolio strategies of this fund are investing in large-cap stocks and value stocks with high book-to-market ratios. The regression coefficients and p-values provide insights into the fund manager's investment strategy.

The coefficient of 0.4231 for the Large Cap asset class is statistically significant with a p-value of 0.0080, indicating a significant allocation to large-cap stocks. Additionally, the coefficient of 0.5531 for the High Book-to-Market (Value) asset class is also statistically significant with a p-value of 0.0013, indicating a significant allocation to value stocks with high book-to-market ratios.

These findings suggest that the fund manager focuses on investing in large-cap stocks and value stocks with high book-to-market ratios as part of their portfolio strategy.

Regarding the explanation of return variabilities, the R-square value of 0.3500 indicates that the asset allocation strategies explained 35% of the return variabilities in the fund. While this is a significant portion, it also implies that other factors not captured by the regression analysis contribute to the remaining 65% of return variabilities. Therefore, while the asset allocation strategies explain a substantial portion of return variabilities, other factors also play a role in determining the overall returns of the fund.

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The required volume of irregular figure is 300 cm³.

In mathematics, 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Now the given dimensions of the irregular figure are,

a = 2 cm

b = 4 cm

c = 6 cm

Thus, Volume of this part is given as

Volume = a*b*c

Putting the values we get,

Volume = 2*4*6 cm³

Solving we get,

Volume = 48 cm³

Now another dimensions of another part are,

d = 7 cm

e = 4 cm

f = 9 cm

Thus, Volume of this part is given as

Volume = d*e*f

Putting the values we get,

Volume = 7*4*9 cm³

Solving we get,

Volume = 252 cm³

Thus, Total Volume of the irregular figure = 48 cm³ +  252 cm³

⇒ Total Volume of the irregular figure = 300 cm³

this is the required volume of irregular figure.

Thus, the required volume of irregular figure is 300 cm³.

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Answer:

20

Step-by-step explanation:

So there is a total of 1/5 chance of getting an answer right, because there are 5 possibilities and only 1 is correct.

Now because there are 100 Questions, we will multiply our probability with the total value (in this case its a 100).

So 1/5 = .2

.2 × 100 = 20

The standard deviation of the number of questions answered correctly is 4. This means that on average, the number of questions answered correctly will be within 4 of the expected value.

The standard deviation of the number of questions answered correctly in a multiple-choice test of 100 questions with 5 possible answers for each question, assuming random selection of one answer per question, can be calculated using the formula for the binomial distribution, which is the square root of n times p times q, where n is the total number of trials, p is the probability of success on each trial, and q is the probability of failure on each trial.

Using the formula for the binomial distribution, the standard deviation of the number of questions answered correctly can be calculated as follows:

n = 100 (total number of trials)

p = 1/5 (probability of success on each trial, i.e., selecting the correct answer)

q = 4/5 (probability of failure on each trial, i.e., selecting one of the incorrect answers)

Therefore, the standard deviation is:

√(100 x 1/5 x 4/5) = √16 = 4

Therefore, the standard deviation of the number of questions answered correctly is 4. This means that on average, the number of questions answered correctly will be within 4 of the expected value.

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Answer:

The cost before rebates is: $69.95 + $49.95 = $119.90

The total rebate amount is: $20 + $30 = $50

The cost of two envelopes is: 2 x $0.20 = $0.40

The cost of two stamps is: 2 x $0.394 = $0.788

The total cost after rebates and including expenses is: $119.90 - $50 + $0.40 + $0.788 = $70.078

Rounding to two decimal places, the total cost after rebates and including expenses is $70.08

The actual rebate after expenses is: $50 - $0.40 - $0.788 = $48.812

Rounding to two decimal places, the actual rebate after expenses is $48.81

3x + 27 =180

-27

3x = 153

÷3

x = 51

a=142

(vertically opposite angles are equal)

Reflex angles adds up to 360

360 - (142x2) = 76

76/2 = 38

t & c = 38

Hope this helps!

Answer:

Here you go :) if you need anything tell me!

Answer:

35% I had the same question on a test yesterday...YEAH hehe hope this helps!

Answer:

35%

Step-by-step explanation:

Answer:

25/12

Step-by-step explanation:

1/2+3/4

You have to find a common denominator so you multiply 2 to 1/2 which gives you 2/4 so now you add 2/4+3/4 which gives you 5/4. You don't add the denominators.

Next you have to add 5/4+5/6. Again, you have to find a common denominator. since 3*4 is 12 and 2*6 is also 12 then you multiply them. You should end up with 15/12+10/12. 15+10 is 25 so your answer is 25/12.

I'm sorry if I Explained it bad but I hope this helps.

Answer: $17.16

Step-by-step explanation:

To find the cost of the untaxed money, you have to divide your sales tax amount by the tax rate.

1.16÷.0725=16

Once you have your untaxed amount, you then add your sales tax to your untaxed amount,

16+1.16=17.16

The alpha level for each hypothesis test made on the same set of data is called B. experimentwise alpha

When numerous suppositions are examined concurrently, the likelihood of committing at least one type I mistake grows.

In order to manage the probability of erroneously rejecting the null hypothesis in all tests, scientists usually modify the alpha level for each test, with the purpose of maintaining an experimentwise alpha that reflects the probability of making a type I error in the entire set of tests.

The Bonferroni procedure is a technique utilized to regulate the experimentwise error rate by adjusting the alpha level for each hypothesis test.

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The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

"Information available from the question"

In the question:

1. Pay $0. 49, plus an additional $0. 019 per minute.

2. Pay $0. 059 per minute.

Now, According to the question:

How to determine the inequality that represents the statement?

We have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x.

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