Polygon ABCD has vertices (3, 4), (-1, 3), (4,10) & (2,-3) was translated 10 units to
the right. Which would be a vertex of the translated figure?
O (12,-3)
O(-1,13)
O (4,20)
O (12,13)

Answer:

12 pitchers

Step-by-step explanation:

Saturday, 6 pitchers

Sunday, same number of pitchers with Saturday, = 6 pitchers

Total pitchers = 6 + 6 = 12 pitchers

Answer:

Cleo sold 6 pitchers of lemonade on Sunday.

Step-by-step explanation:

Cleo sold lemonade at her lemonade stand.

She sold 6 pitchers on Saturday.

On Sunday, she sold as many pitchers as Saturday.

This implies that she sold 6 pitchers too.

She sold 6 pitchers on Saturday, and 6 pitchers on Sunday.

Answer: 2718

Step-by-step explanation:

Given: Mean score = 85

Standard deviation = 5

Let x be the score of a random student that follows normal distribution.

Then, the probability that a student scored between 90 and 95 will be

\(P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359\)

The number of students scored between 90 and 95 = 0.1359 x (Total students)

= 0.1359 (20000)

= 2718

Hence, The number of students scored between 90 and 95 = 2718

The equation of the line which is perpendicular to 2x - y = 4 and passing through (4, 1) will be y = (-1/2)x + 3

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given below.

2x - y = 4

Then the slope of the perpendicular line will be

y = 2x - 4

m = 2

Then the equation of line will be

y = -(1/2)x + d

Then the line is passing through (4, 1), then we have

1 = -(1/2)4 + d

3 = d

The equation of the line which is perpendicular to 2x - y = 4 and passing through (4, 1) will be y = (-1/2)x + 3

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The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Answer:

Equivalent measurements: teaspoon, ounce, pint, pound

You will find a table of equivalent measurements in the back of many cookbooks:

1 tablespoon = 3 teaspoons  

      1 cup = 16 tablespoon = 8 ounces  

    1/4 cup = 4 tablespoons  

    1/3 cup = 5 tablespoons plus 1 teaspoon  

     1 pint = 2 cups = 16 ounces  

    1 quart = 4 cups (2 pints) = 32 ounces  

   1 gallon = 4 quarts

    1 pound = 16 ounces

  1/2 pound = 8 ounces

  1/4 pound = 4 ounces

Note that a pint is 16 ounces of volume, while a pound is 16 ounces of weight. The popular rhyme "A pint's a pound, the world around" can help you remember this, but keep in mind that they're not really equivalent.

Doubling a recipe can be easy (just put in two of each measurement), but what if you need to divide a recipe in half? Here are some measurements that may help:

Measurement    1/2 Measurement

1/8 teaspoon   just a dash

1 tablespoon   1 1/2 teaspoons

1/4 cup        2 tablespoons

1/3 cup        2 tablespoons + 2 teaspoons

3/4 cup        6 tablespoons

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The diagonals are bisected so DE =EB

67 = 2x+7

Subtract 7

67-7 = 2x+7-7

60 =2x

Divide by 2

60/2 =2x/2

30 = x

The different collections than many (40+4-1)! / (40!)(43-40)!  -  (20+4-1)! / (20!)(23-20)!.

Suppose, we have n elements and we want to select r elements then the number of ways of selection may be permutation or combination. Permutation and combination depend on the order of elements. If the order of elements is not important then it is combination otherwise it is a permutation.

In this case, we are choosing r = 40 coins and among these coins, exactly 20 coins are quarters but at least 40 of each other kind of coin.

To find out exactly 20 coins of quarters, first we have to find at least 21 coins of quarters.

Because the selection of different 40 coins where at least 40 of each kind of coin. So, if we subtract the selection of at least 21 quarters .

Number of selection at least 21 quarters coins is:

So the P (n k ) = (20+4-1)! / (20!)(23-20)! subtracted from (40+4-1)! / (40!)(43-40)!

Hence the different collections than many (40+4-1)! / (40!)(43-40)!  -  (20+4-1)! / (20!)(23-20)!

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The value of x in the given parallelogram is: x = 90°.

A parallelogram is a quadrilateral with four interior angles and four sides, whose opposite angles are equal to each other.

In the image given:

Angle A = 120°

Since ABCD is a parallelogram, therefore, the angle that is opposite to angle A would also be 120°. Therefore:

Angle C = 120°

Angle D = 180 - 120 = 60°.

Angle DCO = 1/2(angle C) = 1/2(120) = 60°

Angle CDO = 1/2(angle D) = 1/2(60) = 30°

x = 180 - m<DCO - m<CDO [triangle sum theorem]

Substitute

x = 180 - 60 - 30

x = 90°

Therefore, the value of x in the given parallelogram is: 90°.

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Answer:

The distance travel during race is 13 m

Step-by-step explanation:

Answer:

The answer on the top is the best line for a line of best fit because...

Step-by-step explanation:

there is a noticeable correlation in the first graph- a positive one. The line of best fit should have about the same amount of line plots on the top than on the bottom. Also, there can be a few line plots that is touching the line of best fit as well. Those line plots will be about the middle of the data and provide a good guideline to make your line of best fit the most accurate. The second graph is pretty scattered and doesn't have a clear correlation therefore having no correlation. Hope this helps!!

In a circle centered at point O, the ratio of the area of sector AOB to the area of the circle is given. To find the approximate measure, in radians, of the central angle corresponding to this ratio, we can use the formula for the area of a sector:

Area of sector = (central angle / 360°) * π * r^2

We are given the ratio of the area of sector AOB to the area of the circle, which is. Let's denote this ratio as x:

x = (central angle / 360°) * π * r^2 / (π * r^2)

Simplifying the equation, we get:

x = (central angle / 360°)

To find the measure of the central angle, we can rearrange the equation as:

central angle = x * 360°

So, the approximate measure, in radians, of the central angle corresponding to the given ratio is x * 360°.

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Answer:

x=16

Step-by-step explanation:

Actually this is trig I believe.

cos60=8/x

x=8/cos60=16

Answer:

6 pepper fruits

Step-by-step explanation:

Given the following :

Fraction of pepper in terms of tomato = 2/3

Number of fruits on pepper plant = 9

Therefore number of pepper fruits on pepper plant:

2/3 * number of tomato fruits

2/3 * 9

(2 * 3) = 6

6 pepper fruits.

Answer:

n = bx/a + 6

Step-by-step explanation:

Answer: $80

Step-by-step explanation:

You have been told that Sarah ended up paying $60, and you were told before that the charge for a lost book was 75%.

Therefore

$60 = 75%

Now we have to find out what amount of money would be equivalent to 100%:

To do this, find out what amount of money would be equivalent to 25% first.

You can do this by dividing both values by 3.

60 / 3 = 20

75 / 3 = 25

So now $20 = 25%

Now find 100% (which is the original amount) multiply each value by 4 :

$80 = 100%

So the school payed $80 for the book.

hope this helps :)

Inequalities are used to show the relationship between unequal expressions.

The inequalities that represent the maximum weights are:

Let the maximum weight be represented with x

In inequality, maximum means less than or equal to i.e. \(\le\)

(a) 2 axles

The maximum weight, here is 40000.

So, the inequality is:

\(x \le 40000\)

(b) 3 axles

The maximum weight, here is 60000.

So, the inequality is:

\(x \le 60000\)

(c) 4 axles

The maximum weight, here is 80000.

So, the inequality is:

\(x \le 80000\)

See attachment for the graphs of each inequality

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Answer:

  (d)  x = 4

Step-by-step explanation:

You want the solution to the system of equations using the given graph.

The solution to the equation f(x) = g(x) is the x-coordinate of the point(s) on their graphs where the curves intersect.

The graph shows the point of intersection of the two functions is (4, 1). This is the solution you have marked in the supplied image.

  x = 4

<95141404393>

Answer:

36 cubic inch

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

\(V=whl\)

----------------------------------------------------------------------------------------------------------------

So:

6 × 3 × 2 = 36

----------------------------------------------------------------------------------------------------------------

Have a good day :)

the equation that shows the variable terms isolated on one side and the constant terms isolated on the other side is: -1/4 x = 1

What is Equivalent equations?

Equations that have the same roots or solutions are said to be equivalent.

Starting with the equation:

\(\frac{-1}{2}x \ + 3=4-\frac{-1}{4}x\)

By first adding 1/4 x to both sides and then subtracting 3 from both sides, we can separate the constant terms on one side from the variable terms on the other:

-1/2 x + 1/4 x = 4 - 3

Simplifying both sides:

-1/4 x = 1

As a result, 1/4 x = 1 is the equation that isolates the constant terms on one side and the variable terms on the other.

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a) The dipole moment of this arrangement is zero.

b) The value 'd' required for the dipole moment to be the same as the hemisphere arrangement is zero.

c) V(r,θ) very far away from the hemisphere arrangement is zero.

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Answer:

$34.05

Step-by-step explanation:

Answer:

20y + 30

30y + (-30)

-30y + 9

Step-by-step explanation:

(a)The probability that a call is answered during the first two minutes is 50%.

(b)The probability that a customer waits more than four minutes is infinite.

(a)The probability that a call is answered during the first two minutes is 50%. This is because, if the average waiting time is four minutes, then the call is equally likely to be answered during the first two minutes as it is during the last two minutes. Therefore, the probability of being answered within the first two minutes is 50%.

(b)The probability that a customer waits for more than four minutes can be calculated by assuming that the waiting time follows the same continuous uniform distribution from 0 to 4 minutes. The probability density function (PDF) for this distribution is:

f(x) = 1/4 0 <= x <= 4

The probability that a customer waits more than four minutes is the area under the PDF from 4 to infinity:

P(x > 4) = integral from 4 to infinity of f(x) dx

= integral from 4 to infinity of 1/4 dx

= [1/4 * x] evaluated from 4 to infinity

= lim(x -> infinity) (1/4 * x) - (1/4 * 4)

= infinity

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Answer:

If x= -24

then the equation will be = -24-9

                                          = -24+ -9

                                          = -33

Therefore the value of x-9 when x=-24 is 33

Answer:

y=(x+4)²-19

Step-by-step explanation:

Answer:

7 is the y-intercept

slope is 2/1

Step-by-step explanation:

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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