Score: 0 of 1 pt
x 7.3.7
Amanter on the edge of a mol has the shape a rectangular prism. It is 9 inches high, 2 inches wide, and 14 feet long. How much water can the gutter hold in cubic inches in gallons? Use the fact that
1231 inches
The gather canto cubic inches of water

This is a simple probability problem to solve, first, we need to know how many cookies we have inside the bag. So we have 8 chocolate chip cookies + 4 peanut butter cookies + 9 sugar cookies + 6 oatmeal cookies = 27 cookies (total). Once we have the total we can see the probability to first randomly select a chocolate chip cookie is P (first chocolate chip cookie) = 8/27 (we just have 8 chances to select a chocolate chip cookie between 27 cookies).

After we select a chocolate chip cookie and eat it, now we just have 26 cookies inside the bag. So our probability to select randomly a sugar cookie is P (sugar cookie second) = 9/26 (we just have 9 chances to select a sugar cookie between 26 cookies). Now we just need to combine those two probabilities, and to do that as a sequence (probability 1 first, next probability 2) we use the product operator *. So P(chocolate chip cookie first and sugar cookie second) = P (first chocolate chip cookie) * P (sugar cookie second) = (8/27) * (9/26) = 72/702.

Finally, our final answer is P(chocolate chip cookie first and sugar cookie second) = 0.1025 (approximately).

Answer:

2/9

Step-by-step explanation:

First off, a positive + and a negative - equals to a negative

So it will be 5/9-1/3.

We have to have a common denominator.

The common denominator is 9.

1x1=3

3x3=9

5/9-3/9=2/9

Answer:

I don't know if I'm correct but I got 0.27

Answer:

two pair of opposite parallel sides

two pair of opposite congruent angles

Step-by-step explanation:

You also have parallel sides.

I hope this helps. I am sorry if you get this wrong.

Answer:

Options A, B, and the four sided figure( I cant tell which answer that is)

Step-by-step explanation:

Answer:

The rate change between these points is 3.

Step-by-step explanation:

Answer:

Rate of Change is 3

Step-by-step explanation:

The rate of change between two points is called the 'slope'.

x1-x2         -6-8          -14

____  =      ____  =   ___  = Divide  = 3

y1-y2      -20 - 22      -42

The quotient is x^2 – 3, and the remainder is -1 when dividing x^6 – x^4 + 3x^2 – 3 by x^2 – 1 using long division.


To find the quotient and remainder using long division, we divide the polynomial x^6 – x^4 + 3x^2 – 3 by the divisor x^2 – 1.
We start by dividing the highest degree term of the dividend (x^6) by the highest degree term of the divisor (x^2), which gives us x^4. We then multiply the divisor (x^2 – 1) by x^4, which gives us x^6 – x^4. Subtracting this from the dividend, we get -2x^4 + 3x^2 – 3.

We repeat the process with -2x^4 + 3x^2 – 3 as the new dividend. Dividing -2x^4 by x^2 gives us -2x^2, and multiplying (x^2 – 1) by -2x^2 gives us -2x^4 + 2x^2. Subtracting this from the dividend, we get x^2 – 3.
Since the degree of the new dividend (x^2 – 3) is less than the degree of the divisor (x^2 – 1), we stop here. The quotient is x^2 – 3, and the remainder is -1.

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Answer:

rational

Step-by-step explanation:

cause it can be shown as a divition of real numbers

Hello!

Step-by-step explanation:

Mean: 48

Median: 40

Mode: None

Range: 63

Hope this helps!

Answer: 81 is the median, no mode, range is 63, mean 48

Step-by-step explanation: The mode is basically any number comes up on time then any other number in the line of numbers

Range is the difference between lowest and highest value

median is the number in the middle of the line of numbers

mean add all the number together then divide that number by how many number's there were. there are 7 number so

we can conclude that there is significant evidence to support the claim that μ is less than 10.

We need to compare the test statistic with the critical value to determine whether to reject or fail to reject the null hypothesis. Since the test statistic (-2.50) is less than the critical value (-1.645), we can reject the null hypothesis at the 5% level of significance.

The conclusion is that there is sufficient evidence to support the alternative hypothesis Ha: μ < 10. This means that the sample data suggests that the true population mean is less than 10, and we can reject the possibility that the population mean is greater than or equal to 10.

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Answer:

If a quadrilateral does not have congruent diagonals, then it is not a rectangle.

Step-by-step explanation:

you can add words to make it work as long as you have the same format down

Answer:

What is the exact value of tan(−π4)? is 20

IF YOUR QUESTION IS...

What is the exact value of tan(-pi/4)?

Answer: -1

Answer:

No solutions

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

are you sure the fuel consumption is given by 6,8 km/l ?

normally it is given by l/100km.

but ok, let's assume this is correct.

it would mean the car can drive 6,8 km with every liter of fuel in the tank.

how many liters will the car need to go 450 km ?

well, as many liters as 6,8 fits into 450 :

450/6,8 = 66.17647059... liters

this is not a very fuel efficient car ...

Answer:

$200 : $40

(i divided 240 by 6 because there are six parts in the ratio, and got 40. 40*5=200 and the other 40 makes it 240 in the ratio of 5:1)

Step-by-step explanation:

Answer:

Alex : Burton

    5 : 1

5+1=6

240/6=40

5 times 40=200

1 times 40 =40

= 200:40                                                                                                                                                                                     this means alex gets $200 and burton gets $40

Answer:0.08

0.0818

Step-by-step explanation:

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

We have,

To prove the equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 using mathematical induction,

We will follow the three steps of mathematical induction:

The base case, the induction hypothesis, and the inductive step.

Step 1: Base case

Let's start by checking if the equation holds true for the base case, which is n = 1.

When n = 1, the left-hand side (LHS) is 1² = 1, and the right-hand side (RHS) is 1(1 + 1)(2(1) + 1) / 6 = 1.

Since LHS = RHS for the base case, the equation holds true.

Step 2: Induction hypothesis

Assume the equation holds true for some positive integer k, where k ≥ 1. This is our induction hypothesis:

1 + 4 + 9 + ... + k² = k(k + 1)(2k + 1) / 6

Step 3: Inductive step

We need to prove that if the equation holds true for k, it also holds true for k + 1.

Starting with the left-hand side of the equation, we add (k + 1)² to both sides:

1 + 4 + 9 + ... + k² + (k + 1)² = k(k + 1)(2k + 1) / 6 + (k + 1)²

Simplifying the right-hand side:

= [k(k + 1)(2k + 1) + 6(k + 1)²] / 6

= [(2k³ + 3k² + k) + (6k² + 12k + 6)] / 6

= (2k³ + 9k² + 13k + 6) / 6

= [(k + 1)(k + 2)(2k + 3)] / 6

We can see that the right-hand side is now in the form

(k + 1)((k + 1) + 1)(2(k + 1) + 1) / 6, which matches the equation for k + 1.

Since the equation holds true for k implies it holds true for k + 1, and the base case is true, we have proven the equation using mathematical induction.

Therefore,

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

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Using Uniform distribution,

a) the mean of distribution is 75.25 and variance is 13.02.

b) the cdf of depth is (x - 7.5)/12.5 , 7.5<x<19 or 1 if X>19

A random variable X is said to have a continuous rectangular distribution over an interval (a, b), i.e.

(−∞<a<b<∞)

if its probability density function is given by,

F(x) = 1/(b-a) , a<x<b

Let the random variable X represents the depth of the bioturbation layer in sediment in a certain region. From the given information the random variable X is uniformly distributed on the interval [7.5, 19].

mean of the uniform distribution is,

μ=E(X)=(b+a)/2

Let the random variable X follows uniform distribution with parameters (a, b), then the variance of the uniform distribution is,

σ²=V(X)=(b−a)²/12

we have, a = 7.5 , b = 19

a) mean of the uniform distribution( μ) = 19 +(7.5)²

= 75.25

variance of the uniform distribution = (19-7.5)²/12

= (12.5)²/12 = 13.02

b) The cumulative distribution function of the random variable X is,

Fₓ(x) = P(X<x)

=> Fₓ(x) = ₇.₅∫ˣ f(x) dx

=> Fₓ(x) = ₇.₅∫ˣ(1/12.5)dx

=> Fₓ(x) = 1/12.5 ₇.₅[x]ˣ = 1/12.5(x - 7.5)

=>Fₓ(x) = (x - 7.5)/12.5

Therefore, the cumulative distribution function of the depth is,

Fₓ(x) = (x - 7.5)/12.5 , 7.5<x<19 or 1 if X>19 or zero if X<7.5

Hence, we get the mean of distribution is 75.5 and variance is 13.02.

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The probability that a discrete random variable equals any of its values is between zero and one, inclusive. The correct option is 'd'.

The probability distribution function (PDF) of a discrete random variable includes the following features:

The range of each probability is 0 to 1, inclusive (inclusive means to include zero and one). There is a chance for each occurrence, which is always a number between 0 and 1 inclusive. When a probability gets closer to 1, the likelihood of an event happening rises; conversely, as a probability gets closer to 0, the likelihood of an event happening drops. For instance, if there was no chance of getting into a car accident, this would suggest that it would never happen. You would be entirely safe. If the likelihood is 1, the event will undoubtedly take place.

Therefore, the probability that a discrete random variable equals any of its values is between zero and one, inclusive. The correct option is 'd'.

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Answer:

Option 3

Step-by-step explanation:

If you multiply the numbers inside the root of option 3, you get the equation

2 * 2 * 3 * 3 * 5

Which equals 180

Replacing the root sign will show that you have the right answer.

The solution to the given Inequality is a > 12 and the graph is as attached.

We are given the Inequality as;

8a - 30 > 66

Now, use addition property of equality to add 30 to both sides to get;

8a - 30 + 30 > 66 + 30

8a > 96

Now, use division property of equality to divide both sides by 8 to get;

8a/8 > 96/8

a > 12

The graph of this is as attached.

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Answer:(3,0) , (-2,0)

Step-by-step explanation:To find the x-intercept, substitute in  0 for y and solve for x

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\(f(x) = {x}^{2} - x - 6 \)

\(f(x) = (x - 3)(x + 2)\)

\(0 = (x - 3)(x + 2)\)

_________________________________

Hint :

\(a \times b = 0\)

\(a = 0 \: \: \: or \: \: \: b = 0\)

_________________________________

Thus ;

\( x - 3 = 0\)

Add sides 3

\(x - 3 + 3 = 0 + 3\)

\(x = 3\)

Or

\(x + 2 = 0\)

Subtract sides 2

\(x + 2 - 2 = 0 - 2\)

\(x = - 2\)

Thus the x-intercepts are (( - 2 )) and (( 3 )) .

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Each financial activities should be matched to their relevant management type within the wealth management phase as follows:

Cash management:

Credit and debt management:

Wealth management can be defined as an investment advisory service that is designed and developed to provide advices and solutions to meet the needs of a wide array of affluent clients, especially by combining other financial services.

Generally speaking, there are three (3) distinct phases of a person's financial activities and these include the following:

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Answer:

Cash management:

- keeping an emergency fund

- spending plans

- cash reserve

- recording income and spending

Credit and debt management:

- paying off credit cards

- stop credit misuse

- reducing credit use

- debt reduction

Step-by-step explanation:

correct on plato

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Step-by-step explanation:

so her minimum 4th score is calculated this way:

\( \frac{230 + 185 + 195 + x}{4} = 210 \\ 610 + x = 840 \\ x = 230\)

so in round four

her score should be x in the way that:

x≥230

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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Answer:

15 cm²

Step-by-step explanation:

Area of a triangle = \(\frac{1}{2}\) * base * height

Base = 10 cm

Height= 3 cm

Area = \(\frac{1}{2}\) * 10cm * 3cm

        = 5cm * 3cm

        = 15cm²

Answer:

A: 243.2 B: 1740 C: 42.8

Step-by-step explanation:

The  perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

For this case, the renamed image is given below.

The slope of AB is: \(m_{AB} = \dfrac{50-50}{39-4} = 0\)

The slope of CD is: \(m_{CD} = \dfrac{20-20}{39-4} = 0\)

That shows AB and CD are parallel. Similarly, we can show that AC and BD are parallel. Also, we can show that AB and AC are perpendicular.

Thus, ABCD is a rectangle.

|AB| = length of AB = \(\sqrt{(39-4)^2 + (50-50)^2} = 35 \: \rm units\)

|AC| = length of AC = \(\sqrt{(4-4)^2 + (50-20)^2} = 30 \: \rm units\)

Thus, |AB| and |CD| are of same length because ABCD is a rectangle, and so as |AC| and |BD|.

The area of ABCD = multiplication of length of its two adjacent sides= \(35 \times 30 = 1350 \: \rm unit^2\)Area of Warehouse

Similarly, we can show that the sides EI and CD are parallel, thus making CEID a trapezoid. Also, CE is perpendicular to CD and EI, thus, its length can serve as height of the trapezoid CEID.

The length of CD = length of AB = |AB| = 35 units.

The length of EI = \(\sqrt{(50-4)^2 + (0-0)^2} = 46 \: \rm units\)

The length of CE = \(\sqrt{(4-4)^2 + (20-0)^2} = 20 \: \rm units\)

Thus, area of CEID = \(\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}\) = \(\dfrac{35 \times 46 \times20}{2} = 16100\: \rm unit^2\) = Area of Parking Area

Similarly, IFGH is a trapezoid, and its height can be taken as the length of GF as GF is perpendicular to its parallel sides.

The length of GF = \(\sqrt{(0-0)^2 + (0-60)^2} = 60 \: \rm units\)

The length of IF = \(\sqrt{(50-0)^2 + (0-0)^2} = 50 \: \rm units\)

The length of GH = \(\sqrt{(0-70)^2 + (60-60)^2} = 70 \: \rm units\)

Thus, area of IFGH = \(\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}\) = \(\dfrac{50 \times 70 \times 60}{2} = 105000\: \rm unit^2\) = Area of Plot

Length of HI = \(\sqrt{(70-50)^2 + (60-0)^2} = 20\sqrt{10} \: \rm units\)
Thus, perimeter of plot = |GF| + |IF| + |GH| + |HI| = 180 + 20√10 units

Area of the plot of land that does not include the warehouse and the parking area = 105000 - 16100 - 3500 = 85400 sq. units

The fencing is done on the legs of the trapezoid CEID which are CE and DI

Length of CE = 20 units,

Length of DI = \(\sqrt{(39-50)^2 + (20-0)^2} = \sqrt{521} \: \rm units\)

Thus, the length of the fencing is \(20 + \sqrt{521}\) units.

Thus, the  perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units

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Answer:

-5.5688467e+34

Step-by-step explanation:

Calculator :) P.S Can I have brainliest?

Answer:

-5.83403e+34

Step-by-step explain

Answer:

-27/2

Step-by-step explanation:

3/8 × -36

(3×-36)/8

-108/8

-27/2

Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin  

Step-by-step explanation:

Assume that the mapping is like that in Fig. 1.

1. Reflection about x = -2

It looks like the first transformation is a reflection about the line x = -2

When you reflect a shape about a line, each point in the image is the same distance from the line of reflection as the corresponding point in the pre-image.  

The rule for reflection about a line x = h is (x,y) ⟶ (2h - x, y}

We can use the rule to calculate the coordinates of the first image.

\(\begin{array}{cc}\textbf{A} & \textbf{A"} \\(-5,5) & (1,5) \\(-2,5) & (-2,5) \\(-1,1) & (-3,1) \\(-4, 1) & (0,1) \\\end{array}\)

2. Rotation 90° clockwise about the origin

It looks like the second transformation is a 90° clockwise rotation about the origin.

The rule is (x,y) ⟶ (y,-x).

In other words, interchange x and y and make x negative.

\(\begin{array}{cc}\textbf{A"} & \textbf{A'} \\(1,5) & (5,-1) \\(-2,5) & (5,2) \\(-3,1) & (1,3) \\(0, 1) & (1,0) \\\end{array}\)

These are the coordinates of P'Q'R'S'.

Figure 2 shows the reflection of A across the line x = -2 to give A" and its rotation to give A'.

Answer:

Reflection across x = -2; clockwise rotation of 90° about the origin

Step-by-step explanation: