Given that MQL =180° and XQR = 180°, which equation could be used to solve problems involving the relationships
between XQL and MQR?

A.(146-4b)=(122-1b)
B. (146-4b)+(122-1b)=180
C(146-4b)-(122-1b)=180
D.(122-1b)-180=(146-4b)

Answer:

Step-by-step explanation:

Answer:

2.5.8.11.14.17

Step-by-step explanation:

Start from 2 and add 3 every time

Alan would need a sample size of at least 447 to construct a 95% confidence interval for the proportion of those testing positive for COVID-19 who require hospitalization with a margin of error no more than 2%, using a prior estimate of 15%.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

To find the sample size required for constructing a 95% confidence interval for the proportion of those testing positive for COVID-19 who require hospitalization with a margin of error no more than 2%, we can use the following formula:

n = [(z-score)² * p * (1-p)] / (margin of error)²

where:

n is the sample size

z-score is the critical value for a 95% confidence interval, which is 1.96

p is the prior estimate of the proportion, which is 0.15

margin of error is 0.02

Plugging in the values, we get:

n = [(1.96)² * 0.15 * (1-0.15)] / (0.02)²

n = 446.25

Rounding up to the nearest whole number, we get a required sample size of 447.

Therefore, Alan would need a sample size of at least 447 to construct a 95% confidence interval for the proportion of those testing positive for COVID-19 who require hospitalization with a margin of error no more than 2%, using a prior estimate of 15%.

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Answer and Step-by-step explanation:

Okay, we are given a number, n, which is then added to 15 less than 3 times itself.

Let's break this apart.

n will be added to (+) 15 less (-) than 3 times itself (x)

3 times itself would be 3n, and 15 less than 3 times itself (3n) would be 3n - 15.

n is added to this value: n + 3n - 15 = 4n - 15

Now we need to put this into an equation, where the expression we created will be equal to a number, which is given to be 101.

4n - 15 = 101  <-- This is the equation that would be used to find the value of n.

I hope this helps!
#teamtrees #PAW (Plant And Water)

A 5 × 3 matrix A has 3 pivot columns. Col A is a subspace of \(R^5\) with dimension 3, and Nul A is not equal to \(R^2\); it has a dimension of 0.

Suppose a 5 × 3 matrix A has 3 pivot columns. A pivot column is a column in a matrix that has a leading 1 (pivot position) after performing row reduction. Having 3 pivot columns in matrix A means there are 3 linearly independent columns.
Now, let's consider the two parts of your question:
1. Is Col A = R^5?
Col A represents the column space of matrix A, which is the span of its linearly independent columns. Since A is a 5 × 3 matrix with 3 linearly independent columns, the dimension of Col A (the column space) is 3. Therefore, Col A is a subspace of \(R^5\), but not equal to \(R^5\).
2. Is Nul A = \(R^2\)?
Nul A represents the null space of matrix A, which is the set of all solutions to the homogeneous system Ax = 0. The dimension of the null space called the nullity of A, is equal to the number of columns minus the number of pivot columns. In this case, nullity(A) = 3 (number of columns) - 3 (pivot columns) = 0. This means Nul A has a dimension of 0, not 2, and consists only of the zero vector. So, Nul A ≠ \(R^2\).
To summarize, Col A is a subspace of \(R^5\) with dimension 3, and Nul A is not equal to \(R^2\); it has a dimension of 0.

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Answer:

2;3, that is the ratio =)

Step-by-step explanation:

Answer:The answer would be 4 to 6 or 4:6

Answer:

7.2

Step-by-step explanation:

The area of a rectangle is calculated by multiplying its width and length.

The length is already given as 13 cm and the area is given as 93.6 cm.

Now, to find the width we will divide the area by length:

93.6 ÷ 13 = 7.2

-The first one is

6 pounds

-The second one is

14

-The third one is

$172.20

i just took it on ~e d g e n u i t y~

Answer:

-The first one is

6 pounds

-The second one is

14

-The third one is

$172.20

i just took it on ~e d g e n u i t y~

Step-by-step explanation:

Step 1: Write out the formula for finding the area of a rhombus

Step 2: Substitute the given values to find AC

Therefore,

Therefore, the sign of m/n (-mn²) is positive.

To determine how successfully a program, practice, intervention, or initiative accomplishes its objectives, it might be evaluated. Evaluation is a systematic technique to accomplish this. Evaluations allow programs and efforts to learn what is effective and what needs to be improved.

Given that m is negative and n is positive, we can evaluate the expression:

m/n (-mn²)

= -(m² * n)

Since m is negative and n is positive, the product of m² and n will be negative. Then, multiplying it by -1 will give us a positive value.

Therefore, the sign of m/n (-mn²) is positive.

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Answer:

150mL

Step-by-step explanation:

Given

\(Initial = 270mL\)

See attachment for bottle

Required

The quantity drank

In the attached, bottle, the quantity is at 120mL mark.

This means that:

\(Final = 120mL\)

So, the quantity drank is calculated as:

\(Q = Initial - Final\)

\(Q = 270mL - 120mL\)

\(Q = 150mL\)

The number of times both services left the interchange together from 9am to 12 noon is 0.

Let's call the number of 15-minute intervals that have passed since 9 am "t".

So, the time that bus number 801 leaves the interchange after t intervals is 9am + 15t minutes.

Similarly, the time that bus number 802 leaves the interchange after t intervals is 9 am + 20t minutes.

For both services to leave the interchange at the same time, the number of 15-minute intervals that have passed since 9 am must be the same for both buses.

In other words, 15t must equal 20t.

Dividing both sides of this equation by 5, we get 3t = 4t.

This equation has no solution, which means that bus number 801 and bus number 802 never leave the interchange at the same time from 9am to 12 noon.

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Answer:

in ratio 4:14

Step-by-step explanation:

Answer: 78

Step-by-step explanation:

1. 234 in 3

2. x in 1

3. 234/3=78

4. Your heart beats 78 times in 1 minute.

Answer:

160

Step-by-step explanation:

I multiplied the amount of each item to get to the answer:

- 8 shirts

- 4 pairs of pants

- 5 pairs of shoes

8 x 4 x 5 = 32 x 5

32 x 5 = 160

hope this helps!

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Answer:

yolo

Step-by-step explanation:

On a map, ¼ inch represents 2 miles. If two towns are 6 miles away, they will be at a distance of 3/8 inch on the map.

To explain this, we need to use the concept of proportion, which is based on the principle of equivalent fractions.Let's assume that x represents the distance on the map for the two towns which are 6 miles apart. We can then form a proportion by equating the ratio of the distance on the map to the corresponding actual distance.

This is represented by:1/4 inch = 2 miles Now we can cross-multiply to solve for x. That is,1/4 inch : 2 miles = x inch : 6 miles¼ × 6 = 2 × xx = 3/8 inch the two towns are 3/8 inch away from each other on the map.

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Answer:

Because the exponent rule that let's the base to the sum of the exponents power equal the base too the x power times the base to the y power states that the bases must be the same. And the bases 12 and 11 are not equal.

The volume of the spherical ball will be  4 · π · 3² · 10⁶ cubic cm. Then the correct option is A.

The complete question is attached below.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The radius of the sphere is 3·10² cm.

Then the volume of the spherical ball will be

V =  4/3 πr³

V =  4/3 π(3 x 10²)³

V =  4/3 · π · 3³ · 10⁶

V =  4 · π · 3² · 10⁶ cubic cm

Then the correct option is A.

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The value of the area of the triangle ABC is 80 square units

The given dimensions of the triangle are

Base = 8 unts

Height = 20 units

Mathematically, the area of a triangle can be represented as

Area = 0.5 * Base * Height

When the given values are substituted into the above equation, we have

Area = 0.5 * 8 * 20

Evaluating the products, we have

Area = 80

Include the units

Area = 80 square units

So, the calculated area of the triangle is 80 square units

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Answer:

In order to simplify improper fractions

1. Multiply the denominator and the whole number.

2. Add the numerator to the product.

3. Keep the denominator the same.

4. Easily simplify your solution

Step-by-step explanation:

And for proper fractions, just simplify by finding the GCF and divide Numerator by denominator.

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Have a nice day!

Joan delivered more than twice as many large loads of firewood as small loads of firewood on 4 of the last 10 days. So the answer is (C) 4.

What are the large loads?

Looking at the scatter plot, we can see that if Joan delivered more than twice as many large loads of firewood as small loads of firewood, then she must have delivered at least 3 large loads of firewood for every small load of firewood.

We can draw a line on the scatter plot to represent this scenario, with the line passing through the points (1,3) and (10,30). Any points above this line would represent days when Joan delivered more than twice as many large loads of firewood as small loads.

Counting the number of points above the line, we can see that there are 4 such points. Therefore, Joan delivered more than twice as many large loads of firewood as small loads of firewood on 4 of the last 10 days.

So the answer is (C) 4.

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Complete question is: A1.2 Joan delivers small loads of firewood and large loads of firewood to a campground. The scatter plot below shows the number of small loads of firewood and the number of large loads of firewood she delivered on each of the last ten days.Joan's Daily Firewood Deliveries on 4 of the ten days did Joan deliver more than twice as many large loads of firewood as small loads of firewood.

Recall that we want to solve this problem

We will use the following property, given a nonzero number a and numbers b,c we have that

So if we divide two numbers that have the same base, we can simply subtract their exponents.

So, using the properties of multiplication of fractions, we get

With help of a calculator, we will calculate 3.45/2.03. By doing so, we get that

So we have

The fourth option D is a function of the form of f(x) = ax(x-2)(x+2) where a is a constant.

We know that any function of the form y = f(x) will pass through the x axis at points such that there is only 1 value of x for a value of y.

Of all the options given the option D is in the form of polynomial expression which crosses the x-axis at points (-2,0 ) ,  (0,0) and (0,2).

The graph of the function at D will be of the form:

f(x) = ax(x-2)(x+2) a is a constant.

At y = 0 , x =-2 ,0 and 2.

Therefore for one value of y there are 3 values of x. but every value of x is mapped into one single value of y only.

For option A at x = 2 , y ahs two values -2 and 2 so it is not a function of x.

For option B  the graph is not differentiable at certain points, hence it is not a function.

For option C again y has 2 values for a single x.

The values of x are used to denote the roots and zeros of the expression, which are also on the left side of the equation, and to satisfy the equation. A quadratic problem should only have two possible solutions. One contends that if there is just one solution, the problem has numerous causes.

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The sum of polynomials involves adding the polynomials

The other polynomial is \(y^3 -y^2+ 4y - 1\)

The sum of the polynomials is given as:

\(Sum = y^3 + 3y^2 + 4y - 4\)

One of the polynomials is given as:

\(P = 4y^2 - 3\)

Represent the other polynomial with Q.

So, we have:

\(P +Q =Sum\)

Substitute the expressions for P and Sum

\(4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4\)

Make Q the subject

\(Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3\)

Evaluate like terms

\(Q =y^3 -y^2+ 4y - 1\)

Hence, the other polynomial is \(y^3 -y^2+ 4y - 1\)

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Answer:

y=0.1(3)^x

Step-by-step explanation:

hope it helps you..

have a great day!!

Answer:

20%

Step-by-step explanation:

1.2*1.2=1.44