If one card is drawn from a deck, find the probability of getting, a 10 or a Jack. Write the fraction in lowest terms. 8 a. 13 O b. 2 13 O c. 7 26 O d. 1 26

The numerical value of y in the equation y = 6 - 2x when x = 11 is -16.

Given the equation the question;

y = 6 - 2x

To find the value of y, substitute x = 11 for all occurrence of x in the equation and simplify.

y = 6 - 2x

Plug in x = 11

y = 6 - 2( 11 )

y = 6 - 22

Add 6 and -22

y = -16

Therefore, the value of y is -16.

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Answer:

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Rational numbers are numbers that can be written as the quotient or fraction of two integers, and this contain a numerator and a denominator which is non-zero number.All rational numbers are real numbers and all integers are real numbers as well.

A natural numbers are the positive integers which is also referred to as non-negative integers, examples include 2, 200, 3, 4, 5, 156 .. ∞. we can say natural numbers are a set of all the whole numbers.

These numbers are enclosed by integers, which comprise some negative numbers such as -18, -9, -183 and so on.

In addition, an integers are also enclosed by rational numbers, which comprises terminating decimals such as 8.34, 3.44,15.7543,4.075421 and so on.

With the given terminating decimal between -3.14 and -3.15, It can be deduced that rational numbers contain integers,since integers also include negative numbers because integer are numbers that is devoid without of any fractional component

Answer:

d

Step-by-step explanation:

Large sample size (n ≥ 30) or the population is normally distributed.Mean of the sampling distribution is equal to the population mean.

The sampling distribution of the sample means tends to be approximately normal if the sample size is large enough (typically n ≥ 30).

The population from which the samples are drawn should be approximately normally distributed or, if the population distribution is unknown, the sample size should be large enough to invoke the Central Limit Theorem.

Calculation of mean and standard deviation of the sampling distribution for sample means:

The mean of the sampling distribution of sample means is equal to the population mean (μ).

The standard deviation of the sampling distribution of sample means, also known as the standard error (SE), is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n): SE = σ / √n.

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Answer:

The answer is "\(\frac{26}{7}\)"

Step-by-step explanation:

The whole question can be found in the file attached.

\(\to x + \frac{5}{7} = \frac{31}{7}\\\\\)

Subtracting the \(\frac{5}{7}\) from both sides of the equations:

\(\to x +\frac{5}{7} - \frac{5}{7} = \frac{31}{7} - \frac{5}{7} \\\\\)

                    \(= \frac{31-5}{7} \\\\= \frac{26}{7} \\\\\)

The best measure of center for this data is the median, and its value is 3.

Option B is the correct answer.

We have,

From the line plot,

The median is the best measure of center for this type of data, as it is not affected by outliers.

To find the median, we need to arrange the data in order from least to greatest:

1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 10

Since there are 15 data points,

The median is the middle value, which is 3.

Therefore,

The best measure of center for this data is the median, and its value is 3.

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Answer:

c

Step-by-step explanation:

if u look at 0 it has -4 so it is that

Answer:

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

Step-by-step explanation:

We need to solve the linear system of equations.

\(3x-y=6 \\y=x-4\)

We can write second equation y=x-4  as: \(-x+y=-4\)

Let:

\(3x-y=6--eq(1)\\ -x+y=-4--eq(2)\)

Now, Adding equation 1 and 2

\(3x-y=6\\ -x+y=-4\\--------\\2x+0y=2\\2x=2\\x=\frac{2}{2}\\x=1\)

So, we get x = 1

Now, put value of x in second equation to find value of y:

\(y=x-4\\Put\:x=1\\y=1-4\\y=-3\)

So, we get y = -3

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

Answer:

its D

Step-by-step explanation:

A metric can be used to help us determine the extent of how much an outcome is achieved.

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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Answer:

4.5 hours in minutes = 270

Every 45 minutes, bacteria triples

You start with 50

Divide 270 (total time) by 45 (every time bacteria triples)

270/45 = 6

36,450 bacteria

Answer:

okay i will gladly

Answer:

70cm2

Please mark

Step-by-step explanation:

Answer:

396 cm²

Step-by-step explanation:

The figure is composed of 2 rectangles.

The vertical rectangle on the left has area (A) calculated as

A = 27 × 10 = 270 cm²

The horizontal rectangle on the right has area (A) calculated as

A = 9 × (24 - 10) = 9 × 14 = 126 cm²

Thus area of figure = 270 + 126 = 396 cm²

Answer:

h( x ) = ( x + 1 )^2 - 4 x(h)×(÷×1)^2-4

Answer:

Step-by-step explanation:

Recognize from examining this function h( x ) = ( x + 1 )^2 - 4 that it is a quadratic function whose graph is a parabola that opens up.  The vertex is at (h, k):  (-1, -4).  The axis of symmetry is the vertical line passing through the vertex:  x = -1.

To find the y-intercept, let x = 0 and solve for y:  h(0) = (0 + 1)^2 - 4 = -3.  Thus, the y-intercept is (-3, 0).

To find the x-intercepts, set y = 0 and solve for x:  0 = h(x) = (x + 1)^2 - 4, or

(x + 1)^2 = 4.  Taking the square root of both sides, we get x + 1 = ±2, whose roots are x = 1 and x = -3:  (1, 0) and (-3, 0).

Graph all of these points and the axis of symmetry.  Sketch the parabola that goes through these points.

Answer:

a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.

Step-by-step explanation:

Explanation:

A rectangle has the following properties:

A parallelogram has the following properties:

The similiarities between a rectangle and a parallelgram:

The difference between a rectangle and a parallelogram:

The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.

The complement of the given event, that all 100 engines are free of defects, is that at least one engine among the 100 shipped has a defect.

The complement of the given event, which is that all 100 engines shipped are free of defects, is the event that at least one engine among the 100 shipped has a defect. The complement represents the event that is the opposite of the given event. In this case, it is the event that at least one engine among the 100 has a defect, which could be described as the event of "failure" or "non-conformance". This is important in probability theory as it allows us to calculate the probability of the complement event and use it to determine the probability of the original event, among other applications.

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Complete question:

When 100 engines are shipped, all of them are free of defects. Select a written description the complement of the given event

A) At most one of the engines is defective.

B) All of the engines are defective.

C) At least one of the engines is defe

D) None of the engines are defective

The missing length a of the shaded region is calculated to be 12.8 miles using the area and the height of the triangle.

For any triangle, the area is calculated as half the base multiplied by the height of the triangle, that is;

Area of triangle = 1/2 × base × height

Given the area as 117.76 mi², we have the base of the triangle to be "a" and the height as 18.4 miles, so we solve for the length "a" as follows:

117.76 mi² = 1/2 × a × 18.4 miles

by cross multiplication;

a = (117.76 mi² × 2)/18.4 mi

a = 235.52 mi²/18.4 mi

a = 12.8 miles

Therefore, the missing length "a" of the shaded region is calculated to be 12.8 miles using the area and the height of the triangle.

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The simple interest on the loan of $600 at rate of 8% over a time period of 16 months is $664 and the interest generated is $64

The formula for simple interest helps you find the interest amount if the principal amount, rate of interest and time periods are given.

Simple interest formula is given as:

S.I = P(1 + rt)

Substituting the values into the formula

S.I = 600(1 + 0.08 * 16)

S.I = 664

The interest generated is $64

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Translation: What is the interest generated by $600, placed at 8% per year for 1 year 4 months?

Answer: 20 quarts for two "standard" sized pots.

Step-by-step explanation:

Answer:

64.

Step-by-step explanation:

The digits used are 1 , 2, 7 and 8

To make a number of three digits, the digits are repeated.

To make the three digit number

The ones place is filled by 4 ways.

The tens place is filled by 4 ways.

The hundred place is filled by 4 ways.

So, the total number of ways to make a three digit number is 4 x 4 x 4 = 64.

Answer:

y= -2x + 10

Step-by-step explanation:

( x, y ) = ( 4, 10)

y-intercept = 10

y = mx + b

m = slope = -2

b = y-intercept = 10

y = -2x + 10

There is no difference in height that is not sufficient to meet the slope constraint if Matt wants to start a zip line 16 feet high in one tree and end 10 feet high in the other tree is the difference in height sufficient to meet the slope constraint.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

We know the slope can be evaluated using:

\(\rm Slope = \frac{Change \ in \ y \ axis}{Change \ in \ x \ axis}\)

Change in y-axis = difference in height

Change in y-axis = 16 - 10

                            = 10 feet

Change in x-axis = distance between tress

Since the data is not given.

So, the height difference is insufficient to keep the slope constraint.

Thus, there is no difference in height that is not sufficient to meet the slope constraint if Matt wants to start a zip line 16 feet high in one tree and end 10 feet high in the other tree is the difference in height sufficient to meet the slope constraint.

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Coordinate axes - Ox and Oy. Let this perpendicular intersects AB at the point H. We will also draw a parallel line for Ox that is going through the point A. Let this line intersects CH at the point D. We also will take a point N(3;9). It will lie on the line AD (because the vector AN has coordinates {1; 0}, that means that it is collinear to the position vector that lines on Ox).

We will now find the angle α between AN and AB. For this we will find scalar product of the vectors AN and AB: vector AN has coordinates {1; 0}, and the vector AB has coordinates {6; -5}.

The scalar product of two vectors with coordinates {x1; y1} and {y1; y2} equals to x1 * x2 + y1 * y2. In this case, it equals to 6 * 1 + -5 * 0 = 6.

Also, it equals to the product of the lengthes of those vectors on the cos of angle between thise vectors. In this case, the length on AN equals to 1, the length of AB equals to √(6² + 5²) = √61.

So we can get that cosα * √61 = 6; cosα = 6/√61. Let β be the angle ADH. Because ADH is the right triangle, we get that cosα = sinβ, so sinβ = 6/√61; we know that β is acute, because it is the angle of the right triangle AHD, so cosβ > 0. We can find cosβ through the Pythagoren trigonometric identity. It tells us that cosβ = 5/√61, so tanβ = sinβ/cosβ = 6/5. But β is the interior alternate angle for the pair of parallel lines AD and Ox, so this is the angle between CD and Ox.

Reminder: for the line y = kx + b, k equals to the tan of the angle between this line and Ox.

So we have got that k = 6/5, and y = 6/5 * x + b. But we know that C lies on y, so we can substitute its coordinates in this equality:

-2 = 6/5 * -3 + b.

b = 18/5 - 2 = 8/5 = 1.6

k = 6/5 = 1.2

y = 1.2x + 1.6 - this is the answer.

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.

Let's apply this general guideline to your scenario:

One three-credit class that is less demanding:

Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Two three-credit classes that are typically demanding:

Similarly, for each of the two three-credit classes, you would spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Since you have two such classes, the total time would be:

2 * (6-9) hours = 12-18 hours per week.

One four-credit class that is very challenging:

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

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Answer:

The correct answers are:

Part A: For State A, the median is 36; Q1 is 35; Q3 is 37; the lowest value is 34; and the highest value is 38. For State B, the median is 25; Q1 is 23; Q3 is 38; the lowest value is 26; and the highest value is 65.

Part B: State A has a symmetric box plot; State B does not.

Explanation:

To find the five number summary for each set, we must first order the numbers from least to greatest:

State A: 34, 35, 35, 35, 36, 36, 36, 38, 38

The median is the middle value. We can see this is 36. Q1 is the value halfway between the median and the lowest value (do not include the median in this list); this is between 35 and 35, which is 35. Q3 is the value halfway between the median and the highest value (do not include the median in this list); this is between 36 and 38, which is 37. The lowest value is 34, and the highest value is 38. This is a symmetric plot, since there is 1 unit between the lowest value and Q1; 1 unit between Q1 and the median; 1 unit between the median and Q3; and 1 unit between Q3 and the highest value.

For State B: 20, 22, 24, 24, 25, 25, 26, 50, 65

The median, or middle value, is 25. Q1, halfway between the median and the lowest value, is 23 (between 22 and 24). Q3, halfway between the median and the highest value, is 38 ((26+50)/2 = 76/2 = 38). The highest value is 65 and the lowest value is 20. This box plot is not symmetric; this is because there are 3 units from the lowest value to Q1, 2 units from Q1 to the median, 13 units from the median to Q3, and 27 units from Q3 to the highest value.

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Amount inherited = $200,000

Portion used to build house = h

Invested amount = 200,000 - h

1/3 of (200,000 - h) was invested at 12%

2/3 of 200,000 - h was invested at 15%

Interest from both investment = 8400

Cost of building =?

Using the simple interest formula :

Principal(P) * rate(r) * time

If the investment was for a year:

1st investment :

(200,000 - h)/3 * 0.12 * 1 = (24000 - 0.12h) / 3 = (8000 - 0.04h)

2nd :

(200,000 - h)*2/3* 0.15 * 1 = (20,000 - 0.1h)

Summing both :

8000 - 0.04h + 20,000 - 0.1h = 8400

28000 - 0.14h = 8400

-0.14h = 8400 - 28000

-0.14h = - 19600

= 140,000

Answer:2/3

Step-by-step explanation:There are 52 cards in a standard deck: 13 ordinal cards (Ace - 10, Jack, Queen, King) and 4 of them - one to each suit (hearts, diamonds, clubs, spades) and so we have

4

×

13

=

52

.

There are 8 cards that fit the question (4 each of aces and kings).

And so in a random draw, the odds of drawing one of those 8 cards out of the total number of 52 is:8/52

which we can simplify:

8/52=2/13

Answer:no

Step-by-step explanation:

it’s equal to -10 + 10h by the commutativity of addition and subtraction

Looking at a t-table or using a statistical calculator, we find that the critical value for a 95% confidence interval with df = 14 is approximately 2.145.Therefore, the correct answer is option (a): 2.1448.

To determine the critical value used in constructing a 95% confidence interval for the population mean, we need to consider the distribution of the data and the desired level of confidence. In this case, since the sample size is small (n = 15) and the population standard deviation is unknown, we will use the t-distribution instead of the Z-distribution.

The t-distribution takes into account the sample size and provides more accurate confidence intervals when the population standard deviation is unknown. The critical value for a t-distribution depends on the degrees of freedom, which is equal to the sample size minus 1 (df = n - 1).

To find the critical value for a 95% confidence interval with df = 15 - 1 = 14, we can use a t-table or a statistical calculator. Since the confidence level is 95%, we want to find the critical value that leaves 2.5% of the distribution in each tail. For a two-tailed test, we split the significance level (α) into two equal parts (0.025) and find the corresponding critical values.

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Answer

$30 minutes per hour

$0.5 per minute

Step-by-step explanation:

45/1.5=30

45/90=0.5