Mrs. Lester is teaching a 5th grade class. She is standing 36 feet in front of Valeria. Alvin is sitting 27 feet to Valeria's right. How far apart are Mrs. Lester and Alvin?

Since the researcher is merely observing and comparing existing groups without any manipulation or intervention, this study is classified as an observational study.

In an observational study, the researcher observes and collects data on existing groups or individuals without intervening or manipulating any variables. In this case, the researcher selected two groups of grocery shoppers (one group shopping at a health food supermarket and the other at a neighborhood grocery store) and observed their food costs over a month. The researcher did not control or manipulate any factors or assign participants to specific groups.

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Answer:

It's a rectangle

so, m∠2= 90-62=28°

Step-by-step explanation:

Answer: All im gonna say is you can take out 28 and 118 because there is nothing you can do correctly to get those as your answer.

I think it is a Convience Sampling.

The type of sampling that Marianne is using is convenience sampling.

Convenience sampling is a non-probability sampling method where individuals are selected based on their availability and willingness to participate in the study.

Here, Marianne surveyed the first 30 students who came into her class, which means that she selected the participants based on their convenience of being there at that particular time.

Convenience sampling is not a random sampling method, and it can introduce bias into the results because the sample may not be representative of the population of interest.

In this case, the sample of students may not represent the entire student population at the school, and the results may not be generalizable to other students.

Thus, the type of sampling that Marianne is using is convenience sampling.

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Answer:

D. 3 and 6

A linear model would be best for Scatterplots 3 and 6.

Answer: 70%

Step-by-step explanation:

First, add 5.25 with 2.25 = 7.5 MB

7.5 MB is the total that can be downloaded

We know that it used 5.25 MB

So take 5.25 divided by 7.5, then times 100% = 70%

The area of one triangle is 48 square feet when θ = 60°

The area of one triangle is 27.7 square feet when θ = 60°.

To find the area of the triangle, we can use the formula for the area of an isosceles triangle: A = (1/2) * base * height. In this case, the base of the triangle is given as 8 ft.

Given that the height is represented by y = 4 tan θ, we need to find the value of y when θ = 60°. Substituting θ = 60° into the equation, we have y = 4 tan 60°. Using the tangent of 60°, which is √3, the height is y = 4 * √3.

Now we can calculate the area of the triangle. Plugging in the values into the formula, we get A = (1/2) * 8 ft * (4 * √3) ft = 16√3 ft².

Rationalizing the denominator (√3) by multiplying both the numerator and denominator by √3, we have A = 16 * √3 * √3 ft² = 16 * 3 ft² = 48 ft².

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Answer:

sum of two function

Step-by-step explanation:

The best description is skew right. (the date is missing in this question)

What is Skew right?

A distribution is right skewed if it has a “tail” on the right side of the distribution

The cumulative relative frequency graph shows that

The slope between 0 and 4 is substantially steeper than the curve between 6 and 14.

Then

Because most of the data values are between 0 and 4 (where the histogram's highest bar appears) and relatively few values lie between 6  and 14 the histogram's distribution should be skewed to the right, resulting in low bars tailing to the right side of the highest bars.

Because there are more data values between 0 and  4 than between 6 and 14 we can conclude that skewed right is the best description of the histogram's form. Hence, the it is skewed right.

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Answer:

2

3

-5

0

Step-by-step explanation:

2×0+1×2=2

2×1+1×1=3

2×-3+1×1=-5

2×-2+1×4=0

Answer:

\(\large \boxed{\mathrm{Option \ C}}\)

Step-by-step explanation:

\({\mathrm{view \ attachment}}\)

Answer:

\((5, -5/2)\)

Step-by-step explanation:

The midpoint of any line segment is the average of the x- and y-values of the two endpoints.

Therefore, the midpoint of \(AB\) is \(((3+7)/2, (-8+3)/2)=(10/2, -5/2)=(5, -5/2)\).

So, the answer is \(\boxed{(5, -5/2)}\) and we're done!

Answer:

$24

Explanation:

To know how much was one late fee, we need to divide $144 by 6. Therefore, the division is equal to:

So, for every late payment, Charles was fined with $24

Answer:

-67x + 10

Step-by-step explanation:

3x + 10(1 - 7x)

(use distributive property)

3x + 10 - 70x

(simplify)

3x - 70x + 10

-67x + 10

Answer:

-67x+10

Step-by-step explanation:

3x+10(-7x+10)

3x+10(-7x+10)

3x-70+10

______________

3x-70+10

-67x+10

Answer:

? = 63

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/ hyp

cos ? = 6/13

Taking the inverse cos of each side

cos^-1 (cos ?) = cos^-1 (6/13)

? = 62.51357

To the nearest degree

? = 63

Answer:

288

Step-by-step explanation:

just count by

Vr : Vc

Vr = Volume of rectangular

Vc = Volume of cube

Vr : Vc

4 * ¾ * 1 ½ : ¼ * ¼ * ¼

4.5 : 1/64

4.5 * 64 = 288 cubes needed

The amount of tea the camel drinks every 2 days is 350 Liters

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 ,

The total number of days = 6 days

The amount of tea , Ben , the camel drinks every 6 days = 1050 Liters

Now , the equation will be

The amount of tea the camel drinks every day =
The amount of tea the camel drinks every 6 days / total number of days

The amount of tea the camel drinks every day = 1050 / 6

                                                                              = 175 Liters

So , the equation is

The amount of tea the camel drinks every 2 days =
amount of tea the camel drinks every day x 2

The amount of tea the camel drinks every 2 days = 175 x 2 Liters

                                                                                   = 350 Liters

Hence , The amount of tea the camel drinks every 2 days is 350 Liters

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Answer:

x = 18

Step-by-step explanation:

2x + 8x = 180

10x = 180

x = 180/10

x = 18

2x = 36

8x =144

Answer: 400:18

and 200:9

Step-by-step explanation:

Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

Answer: 1

Step-by-step explanation: calculator lol

Answer:

= 1

Step-by-step explanation:

− 2 + 7 −4

=5 −4

= 1

The expression equal to the given expression is \(\frac{y^{20} }{z^{20} }\) . The solution has been obtained by using exponents.

What is an exponent?

Exponents, which are used to express numbers, reveal a number's multiplicity. For instance, the term 2³ represents multiplying the number 2 three times. The number has been raised to 2 * 2 * 2. Exponents are also referred to as a number's power. You can use a decimal, whole number, fraction, or even a negative value.

We are given an expression as \((\frac{y^{-2}z^{7}}{z^{-3}y^{8} } )^{-2}\) .

Now, we know that base with power to power are multiplied.

So, we get

⇒ \(\frac{y^{4}z^{-14}}{z^{6}y^{-16} }\)

Now, powers having same base are added.

So, from this we get,

⇒ \(\frac{y^{4 + 16}}{z^{6 + 14} }\)

⇒ \(\frac{y^{20} }{z^{20} }\)

Hence, the expression equal to the given expression is \(\frac{y^{20} }{z^{20} }\) .

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Answer:

6:9,2:3

Step-by-step explanation:

sorry I Only knew this much

Answer:

well to make life easier

You can always just simplify the given ratio

12:18 is basically 2:3 and we can use that as a base line

so we got

2:3

6:9

12:18

24:36

48: 72

It goes on you can just multiply by 2

Answer:

\(169\)

Step-by-step explanation:

\(13*13=13^2=169\)

There were 144 students when the contest began

Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.

On the basis of given data :

Let the total number of students are x

50% of the students are eliminated after the first round

the remaining students are 0.5x

After the second round = (1/3) * 0.5 x were remaining

and

(1/3) * 0.5 x = 24

then solving this equation will give the total number of students

0.5x = 24 * 3

x = 24*3 /0.5 = 144

Therefore there were 144 students when the contest began

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Answer:

0

Step-by-step explanation:

If it takes 6 to 10 minutes to make something it's impossible to make it in less than 6 minutes. (the probability is 0)

mathamatically, you can use the CDF for a uniform distribution and get the same answer

(6-6)/(10-6)= 0

open notes and think about it

The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.