Addison bought 5/6 yard of ribbon. She used 1/4 yard of ribbon to decorate her scrapbook. How much ribbon did she have left after decorating the scrapbook?

The length and width of the given rectangle with area of 182 square units is; Length = 26 units and width = 7 units

Let the length of the rectangle be x

Let the width of rectangle be y

Let the area of rectangle be A

Formula for area of rectangle is;

A = length * width

Thus;

A = xy

We are told that area is 182 square units. Thus;

xy = 182 sq.units   -----(eq 1)

Also the length of the rectangle is 5 more than 3 times its width. Thus;

x = 3y + 5   ------(eq 2)

Put 3y + 5 for x in eq 1 to get;

y(5 + 3y) = 182

3y² + 5y = 182

3y² + 5y - 182 = 0

Using online quadratic equation calculator gives; y = 7

Thus;  x = 182/7

x = 26

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The value based on the information given about the right angle will be such that r ÷ y is sin y°.

It should be noted that the sine of an angle is calculated as:

Sine = Opposite / Hypotenuse

Based on the information given, it can be seen that r is the angle that's facing y° while q units is hypotenuse. Therefore, the value based on the information given that r ÷ y will be sin y°.

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Answer:

the answer is c

Step-by-step explanation:

Answer:

[tex](fg)(x)=4x^3+12x^2-5x-15[/tex]

First option is correct.

Step-by-step explanation:

We have been given that

[tex]f(x)=4x^2-5[/tex]

[tex]g(x)=x+3[/tex]

We know that [tex](fg)(x)=f(x)g(x)[/tex]

Hence, we have to find the product of f(x) and g(x)

[tex](fg)(x)=(4x^2-5)(x+3)[/tex]

Apply distributive property

[tex](fg)(x)=4x^2\cdot x+4x^2\cdot3-5x-5\cdot3[/tex]

Simplifying, we get

[tex](fg)(x)=4x^3+12x^2-5x-15[/tex]

First option is correct.

The angle of elevation is 38.9° if Barbara is building a wooden cabin. The cabin is 42 meters wide. She obtained a bunch of 27 meters long wooden beams for the roof of the cabin.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Width of the cabin = 42 meters

Wooden beam length = 27 meters

Since opposite beams would meet exactly in the middle.

The half of the beam width = 42/2 ⇒ 21 meters

As we can see in the right angle triangle:

[tex]\rm cosx = \frac{21}{27}[/tex]

[tex]\rm x = cos^{-1}(\frac{21}{27} )[/tex]

x = 38.9°

Thus, the angle of elevation is 38.9° if Barbara is building a wooden cabin. The cabin is 42 meters wide. She obtained a bunch of 27 meters long wooden beams for the roof of the cabin.

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The problem can be solved by using the binomial probability formula. We know that the binomial model deals with the probability of success of an event in a series of experiments. Plug the values into the binomial formula to find the probability that 2 flights out of 16 selected flights will arrive late.

This problem can be solved using the binomial probability formula. The binomial distribution model deals with finding the probability of success of an event that has only two possible outcomes in a series of experiments, such as a coin toss.

Given that the probability of a flight arriving on time is 80%, the probability (p) for a flight arriving late is 20% or 0.2. We are looking for the probability that 2 out of 16 flights arrive late. This is a binomial problem where n=16 (the number of trials), k=2 (the number of successes), and p=0.2 (probability of success).

The binomial formula is P(X=k) = C(n, k) * (p^k) * (1-p)^(n-k)

where C(n, k) is a combination that calculates the number of possible combinations of n items taken k at a time, without regard to the order of selection.

So, to solve this problem:

The probability that 2 flights out of 16 selected flights will arrive late can be computed by plugging these values into the binomial formula.

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Answer:

what that guy said

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given: The measure of the arc QU=88°, ∠QUA=111°.

To find: The measure of the arc AU.

Construction: Join QX and UX and AX, where X is the center of the circle such that ∠UXA=x.

Solution: It is given that  The measure of the arc QU=88°, ∠QUA=111°.

Now, we know that The measure of a minor arc is the same as the measure of the central angle that corresponds to it, therefore

If the minor arc QU=88°, then ∠QXU=88°.

Also, we know that the major central angle is double of the inscribed angle, thus

∠QXA=2(∠QUA)

⇒∠QXA=2(111°)

⇒∠QXA=222°

Using the angle sum property for a point X, we have

∠QXA+∠QXA=360°

⇒222°+88+x=360°

⇒310°+x=360°

⇒x=50°.

Again, The measure of a minor arc is the same as the measure of the central angle that corresponds to it, thus

The measure of the arc AU is same as ∠UXA that is 50°,therefore, the measure of AU is 50°.

Hence, option B is correct.

Answer:

D. 50

Step-by-step explanation:

[tex]f(x) = 9x - 7 \\ g(x) = 2x {}^{2} - 3x + 1 \\( f + g)(x) = 9x - 7 + (2x {}^{2} - 3x + 1) \\ (f + g)(x) = 2x {}^{2} + 6x - 6 \\ (f + g)(4) = 2(4 ){}^{2} + 6(4) - 6 \\ (f + g)(4) = 32 + 24 - 6 \\ (f + g)(4) = 56 - 6 \\ (f + g)(4) = 50[/tex]

Answer:

1, 2, and 5.

Step-by-step explanation:

The best prediction of the population mean is the value that falls between the least and greatest sample means.

It is unlikely that the population mean will be the least or greatest mean from the samples.

To find the range of the sample means, subtract the least value from the greatest value.

Hope that is helpful ¯\_(ツ)_/¯

The correct statements for the population mean are 1, 2, and 5.

The population mean formula basically calculates the group's arithmetic mean by adding up all the data points and dividing the result by the total number of items in the sample.

The correct statements are given below:-

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