Find a 95% prediction interval for the length of life of a horse that had a gestationperiod of 300 days. Uses=2 as an estimate of and use y=18.89.01087x

The simplified form of the expression \((x^4 - 4x^3 - 8x^2 + 9x + 2) / (x + 2)\) is \(x^3 - 6x^2 + 4x - 5 - 62/(x+2).\) This is achieved by polynomial division.

The solution using polynomial division can be shown as:

\(x+2 | x^4 - 4x^3 - 8x^2 + 9x + 2\)

\(- (x^4 + 2x^3)\)

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

\(-6x^3 - 8x^2\)

\(+ (6x^3 + 12x^2)\)

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

\(-20x^2 + 9x\)

\(+ (20x^2 + 40x)\)

Therefore, the result of the division is \(x^3 - 6x^2 + 4x - 5\) with a remainder of 62.

So, the simplified form of the given expression is \(x^3 - 6x^2 + 4x - 5 - 62/(x+2).\)

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What is the simplified form of the expression (x^4 - 4x^3 - 8x^2 + 9x + 2) / (x + 2)

2m = 13 - 5

2m = 8

m = 8/2

m = 4

pfft that was easy

Working

Q=k÷p

0•25=k÷2(cross multiply)

0•50=k or k=0•50

Answer

Q=0•50÷2

Step-by-step explanation:

Given

Jordan has more than 25 coins in his collection.

So the inequality which shows the number of coins in Jordan's collection is

C x > 25

Hope it will help :)❤

We can write 2 equations from the information given.

Let the amount invested in CD be "x" and the amount invested in bond be "y".

The total amount invested is $600,000. Thus, we can write,

The CD pays 2% (0.02) and the bond pays 8.5% (0.085). Total interest needed is $27,000. Thus, we can craft another equation,

Solving the first equation for "x", we can substitute it into the second equation and solve for "y" first. The steps are shown below:

Now, we can find "x",

Rounded to the nearest dollar, we write our answer >>>

Answer:

Pretty sure this would be 56.54

Step-by-step explanation:

diameter is 18, which means the radius is half of the diameter. so the radius is 9. Then plug that into the circumference formula which is 2x3.14xr.

Answer:

4500 cm²

Step-by-step explanation:

10 mm = 1 cm

So 450 × 10

= 4500 cm²

Answer:

6 feet and 8 inches

Step-by-step explanation:

1 foot = 12 inches

Answer: 6ft & 8 inches

Step-by-step explanation: 12 inches = 1 feet

2 feet = 24

3 feet = 36

4 feet = 36

5 feet = 60

6 feet = 72

80 - 72 = 8

6ft & 8 inches

3(4+n)

Step-by-step explanation:

3(4+n)=12+3n

The option d ,that is , x= 5y is the equation that represents inverse variation between x and y.

1: A mathematical connection between two variables that can be described by an equation in which the sum of their products equals a fixed value.

2: an expression of inverse variation by an equation or function; contrast with direct variation.

In an inverse variation, the inverse percentage establishes the link between two quantities or variables. The inverse relationship between two quantities, x and y, is provided by:

x ∝ 1/y

or

x = k/y

xy = k

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Answer:

x= 2 y= -2

(2, -2)

I hope this helps you!

The solutions to the equation is

The value of x = 2

The value of y = -2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be A

The value of A is

2x + 3y = -2   be equation (1)

Let the second equation be B

The value of B is

3x - 6y = 18   be equation (2)

Now , on simplifying the equation , we get

Multiply equation (1) by 3 , we get

6x + 9y = -6   be equation (3)

Multiply equation (2) by 2 , we get

6x - 12y = 36   be equation (4)

Subtracting equations (3) and equation (4) , we get

21y = -42

Divide by 21 on both sides of the equation , we get

y = -2

Substitute the value of y in equation (1) , we get

2x + 3 ( -2 ) = -2

2x - 6 = -2

Adding 6 on both sides of the equation , we get

2x = 4

Divide by 2 on both sides of the equation , we get

x = 2

Therefore , the value of x and y is 2 and -2 respectively

Hence , the solutions to the equations is x = 2 and y = -2

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Answer:

A, 5/26

Step-by-step explanation:

First, add everything up to determine the denominator.

8 + 3 + 5 + 10 = 26

So, now your fraction should look like this

Then put the number of Snickers in the numerator

Have a wonderful day! :)

Answer:

i think the answer is d

hpe it helps

Answer:

b

Step-by-step explanation:

The planet that has the larger mass is the planet B and the measurements in standard forms are

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

Planet A = 5*10^26 kilograms

Planet B = 2*10^28 kilograms

Rewrite the masses properly

So, we have

Planet A = 5*10²⁶ kilograms

Planet B = 2*10²⁸ kilograms

The exponent 28 is greater than the exponent 26

This means that

2*10²⁸ is greater than 5*10²⁶

So, we have

Planet B has the larger mass

When the measurements are expressed in standard forms, we have

Planet A = 500000000000000000000000000 kilograms

Planet B = 20000000000000000000000000000 kilograms

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1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

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C=pi*d

Where pi is 3.14 and d is the diameter, in this case is 14ft. Find the circumference

The equation that she could use to determine x, the number of gigabytes of data Shaniece can use while staying within her budget is 48 + 3x = 61.20.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, Shaniece pays a flat cost of $48 per month and $3 per gigabyte and she wants to keep her bill at $61.20 per month.

Let the number of gigabytes be represented by x

This will be illustrated as:

48 + (3 × x) = 61.20

48 + 3x = 61.20

This represents the equation.

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The radius of the circle with a circumference of 15 ft is approximately

7.5 ft.

We have,

The circumference of a circle is the distance around its boundary. It is calculated by multiplying the diameter of the circle by π (pi), which is approximately 3.14159.

The formula for the circumference of a circle is:

Circumference = 2 π radius

To find the radius of a circle, we can rearrange the formula and solve for the radius:

Radius = Circumference / (2 π)

In this case, the given circumference is 15 ft.

Plugging this value into the formula:

Radius = 15 ft / (2 π)

Simplifying further:

Radius ≈ 7.5 ft

Therefore,

The radius of the circle with a circumference of 15 ft is approximately

7.5 ft.

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When Partition(numbers, 5, 9) is called in Quicksort for the array (56,25,26,28,81,93,92,85,99,87), the pivot is 92. The low partition is (56,25,26,28,81,85,87).

When Partition(numbers, 5, 9) is called in Quicksort with the array numbers = (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), the element at the midpoint between index 5 and index 9 is chosen as the pivot.  The midpoint index is (5 + 9) / 2 = 7, so the pivot is the element at index 7 in the array, which is 92.

After the partitioning step, all the elements less than the pivot are moved to the low partition, while all the elements greater than the pivot are moved to the high partition. The low partition starts at the left end of the array and goes up to the element just before the first element greater than the pivot.

In this case, the low partition after the partitioning step would be (56, 25, 26, 28, 81, 85, 87), which are all the elements less than the pivot 92. Note that these elements are not necessarily in sorted order yet, as Quicksort will recursively sort each partition of the array.

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Answer:

Step-by-step explanation:

Given expression:

Solve to get the power:

Your answer is D.

Answer:

1. 900

2. 350

Step-by-step explanation:

the formula,

A= P(1+rt)

A= final amount

P= starting amount

r= intrest rate

t= time

1. A=750(1+.05*4)

A=750(1.2)

A=900

2. A=1500(1+.1*2)

A=1500(1.1)

A=1650

But theyre

asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned

1650-1500=350

It is proved that Point A is situated equal distance from Triangle PQA and RQA.

It is a line that divide an angle or a line in two equal parts.  In the given figure, QA is a bisector as it divides the angle PQR.

Triangles are called congruent when they have equal corresponding sides and equal corresponding angles. As shown in figure, the bisector QA creates two congruent triangle PQA and RQA.

it is given, QA is bisector of angle Q, so point A lies equal distance from P and R. According to the figure, APQ and ARQ are right angle.

As per the rules of congruence theorem, triangle PQA and Triangle RQA are two congruent triangles.

hence, A is the same distance from P and R

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Statement                                                                  Reason

1. QA is the bisector of ∠PQR                                   Given

2. ∠PQA   ≅ ∠RQA                                          Definition of bisector

4. ∠QXA ≅ ∠QYA                                   All right angles are congruent

5. QA ≅ QA                                                                Given

6.△PQA ≅ △RQA                                            AAS Postulate

8. Point A is equidistance                              Definition equidistance

from the side of ∠PQR        

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that point A is lie on the bisector of ∠PQR.

When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.

Therefore QA is the bisector of ∠PQR

Then ∠PQA   ≅ ∠RQA  

Since ∠QXA and ∠QYA are right angle, therefore they are congruent.

∠QXA ≅ ∠QYA

QA ≅ QA

AAS postulate: The triangles are congruent if two angles and the excluded side of one triangle match two angles and the excluded side of another triangle.

According to AAS postulate,

△PQA ≅ △RQA  

Point A is equidistance from ∠PQR.

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s + t = 617

206 + 391 = s

s = 597

617 - 597 = number of teachers

there are 20 teachers

The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)

Where, x represent the number of totts.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

My friend Raw has either no more than 5 toots and more than 10 toots.

Now, Let number of toots = x

Hence, We get;

⇒ x < 5

And, x > 10

Thus, The solution of the inequality is,

⇒ x ∈ (- ∞, 5) ∪ (10, ∞)

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Answer:

x = 5

Step-by-step explanation:

24 - 8x = -16

Subtract 24 from both sides.

-8x = -40

Divide both sides by -8.

x = 5

Answer:

5

Step-by-step explanation:

24 - 8x = -16

24 + 16 = 8x

8x = 40

x = 40/8

= 10/2

= 5

For moviegoers who are younger than 12 years old, the ticket price is a fixed amount of $5. This is represented by the first rule of the piecewise function

For moviegoers who are 12 years old or older, but younger than 55, the ticket price is also a fixed amount, but this time it is $9. This is represented by the second rule of the piecewise function

For moviegoers who are 55 years old or older, a special rate is available, and the ticket price is $7. This is represented by the third rule of the piecewise function

So, for a 16 year-old, the ticket price would be $9.

For a 12 year-old, the ticket price would also be $5.

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Answer:

Pythagorean theorem, eh?

Step-by-step explanation:

The way to do this is use the radius-tangent angle theorem thing...

It states that, a radius that intersects a point of tangency(I think that's what it's called) is perpendicular to the tangent. Thus, CW is perpendicular to OW!

Thus, it forms a right triangle, where we can use Pythagorean Theorem!

If you don't know what it is, check the internet! It's pretty simple.

\(CW^2+OW^2=OC^2\\144+81=OC^2\\225=OC^2\\OC=15\)

So, there you go! Hope this helps!

NOTE: This answer was recently deleted for violating community guidelines, so I just re-uploaded it!(and edited it) So if you do need more help, do some research!

Answer:

The conclusion is the population mean is not different from $50,550

Step-by-step explanation:

The population mean is not different from $50,550  can be explained as follows

The first step is to write the null hypothesis that "The population mean is $50,550."

The alternate hypothesis is "The mean is different from $50,550 or "The mean is not $50,550."

These two hypotheses are written as follows

\(H_{0}: \mu= 50,550\)

\(H_{A}: \mu \neq 50,550\)

This is a two-tailed test because the alternate hypothesis does not state a direction. In other words, it does not state whether the mean annual incomes is greater than or less than $50,550

The association only wants to find out whether the annual income rate is different from $50,550

Th second step is to write the level of significance, as noted the 0.05 level of significance is used.

\(\alpha=0.05\)

The confidence interval for \(\alpha = 0.05\) is 0.95 which is derived from the formula

\(1-\alpha=1-0.05=0.95\)

The third step is to decide the test statistic to be used. Since the sample size is 100, which is considered large, then z-test statistic is used.

The fourth step is to determine the decision rule by finding the critical value of z. Since this is a two-tailed test, half of 0.05 or 0.025, is in each tail.

The area where \(H_{0}\) is not rejected, located between the two tails, is therefore 0.95. Based on just half of the area under the curve, or 0.5000. Then 0.5000-0.025 is 0.4750, so 0.4750 is the area between 0 and the critical value.

By using the table of area under the normal curve, locate 0.4750 in the  in the body of the table. The critical value is in the row and column corresponding to 0.4750. It is 1.96.

The decision rule is to reject the null hypothesis and accept the alternate hypothesis (which states that the annual income is not $50,550) if the computed value of z does not fall in the region between -1.96 and 1.96. Accept the null hypothesis if z falls between -1.96 and 1.96.

The fifth step is to compute z score by the following formula

\(z=\frac{\overline{X}-\mu}{\frac{\sigma}{\sqrt{n}} }\)

Where \(\overline{X}\) is the sample mean, \(\mu\) is the population mean, \(\sigma\) is population standard deviation, n is number in sample

Substitute 50800 for \(\overline{X}\), 50550 for \(\mu\), 2000 for \(\sigma\), 100 for n

\(z=\frac{50800-50550}{\frac{2000}{\sqrt{100}} }\)

\(z=\frac{250}{\frac{2000}{10} }\)

\(z=\frac{250}{200}\)

\(z=1.25\)

Since the z score 1.25 does not fall in the rejection region, \(H_{0}\) is not rejected. We conclude that the population mean is not different from $50,550.

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An irrational number could not be written as a fraction.

We need to clasify the following numbers in rational or irrational:

Answer:

210

Step-by-step explanation: