if the test scores of a class of 35 students have a mean of 73.1 and the test scores of another class of 26 students have a mean of 65.6, then the mean of the combined group is

Answer:

Step-by-step explanation:



Answer:

0.2 billion visits per year

Step-by-step explanation:

-

Hope that helps.

Answer:

: A person driving along the road moves at a rate of 56 miles per hour driven.

Step-by-step explanation:

Answer:

Hey there, your domain is all real numbers!! the graph is staying above the x-axis, but it's crossed from the negative x-values to the positive x-values. that means choice D is incorrect, because some of the function does cross through negative values.

if the domain was either of the inequality choices, the function wouldn't extend all over the graph--it would be ONLY between 0 and 5, or 5 and -5. this graph would be all real numbers because it isn't restricted like that.

Hope this helps!!!

The simplified value of radical expression √81 x² is 9x.

By considering the given expression

√81 x²

=(9²)^1/2 ( x²)^1/2

=9x

An expression with a square root is referred to as a radical expression. Radicand: A value or phrase contained within the radical symbol. Equation with radical expressions and variables as radicands is referred to as a radical equation.

The 'V'-shaped portion of the radical symbol will have a superscript number when it is used to represent any root other than a square root. For instance, the expression 3(8) denotes the cube root of 8.

The radical symbol, which resembles a check mark, the index, a small number written outside the radical symbol, and the radicand, a quantity written beneath the horizontal bar of the radical symbol, are the three main components of the radical expression ab.

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In this case, the population consists of an insurance company's policyholders. The sample consists of his 200 policyholders under study. The sample size is 200.

H0: µ ≥ $5,000

Ha: µ < $5,000 (claimed)

As we can see that the sample size is 200, which is way greater than 30, so a z-test is appropriate here.

z(test) = (4800 - 5000) / (1300 / √200) = -2.1757

p (z = -2.1757) = 0.0148

The critical z-value for the left-sided test at α = 0.05 is -1.645

The tested value of z is less than the critical value, so we reject the null hypothesis. The hypothesis drawn here ( null hypothesis) will be rejected as an alternate decision because the p-value is less than the significance level (0.05).

At the 0.05 significance level, the prevention plan effectively reduced the average amount of harm. Insurers should continue these plans and try to improve them where possible.

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The population of City C is 11.4 times the population of City A.

From the information, the populations of cities A and B are 3.6*10 to the 5 and 2,060,000, respectively

It was stated that the population of City C is twice the population of City B. That means the population of C will be:

= 2060000 × 2

= 4120000

Therefore, the population of City C is how many times the population of City A will be:

=4120000 / 360000

= 11.4

Therefore, the population of City C is 11.4 times the population of City A.

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The algebraic expression is 6(a+ b)² + 4(ab)².

The concept of representing numerical values with letters or alphabets without providing their precise values The fundamentals of algebra taught us how to represent an unknown value using letters like x, y, and z. Here, these letters are referred to as variables. A mathematical expression may have both variables and constants. A coefficient is any value that is introduced before and increased by a variable.

Given that,

So, six times the sum of (a+ b)

Then, four times the product of (ab)

Therefore, the algebraic expression is 6 (a+ b)² + 4(ab)².

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Using multiplication to solve the square roots, (5√3 -2)², we get the answer as 79 - 20√3

To multiply a square root, multiple its radicands first—that is, the values that appear after the radical sign. If the radical sign is preceded by any coefficients, multiply those coefficients as well.

Using (a-b)² = a² + b² - 2ab

We have,

(5√3 -2)²

On expanding,

we have , (5√3)² + 2² - 2(5√3)(2)

⇒ 75 + 4 - 20√3

⇒ 79 - 20√3

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Answer:Gotta Be G tbh

Step-by-step explanation: Calculator on brainly

Answer:

Step-by-step explanation:

Answer:

3(4 + 5)

Step-by-step explanation:

Answer:

8n-18

Step-by-step explanation:

You can use this formula: 1st term+(n-1)(difference)

First term of sequence: 10

Difference between each term: 8

-10+(n-1)(8)

= -10+8n-8

= 8n-18

The minimum value is 20

The maximum value is 9

The range is 11.

The mean is 16.8

The median is 18.

The mode is 18.

The landmark that best describes the dot plot is the mean because it incorporates all the data in the dotplot.

A dot plot is a graph that displays the information of a dataset. A dot plot consists of a number line and dots above the numbers on the number line. The dots in the dot plot is indicate the frequency of the data in the dataset.

The minimum value is the smallest number in the dataset. The smallest number that is represented in the dot plot is 9. The maximum value is the largest number in the dataset. The largest number that is represented in the dot plot is 20.

The range is the difference between the maximum value and the minimum value.

Range = maximum value - minimum value

20 - 9 = 11

The mean is the average of he numbers in the dataset.

Mean = [(9 x 1) + (12 x 1) + (14 x 1) + (15 x 5) + (16 x 2) + (17 x 3) + (18 x 6) + (19 x 3) + (20 x 4)] / 26

438 /26 = 16.8

The mode is the number that occurs most in the dataset. The number that occurs most frequently is 18 with a dot of 6.

The median is the number at the center of the dataset. The median is 18.

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The part from the expression above that represents a coefficient is -4.9

The expression is given as

-4.9t^2

To solve this question, we make use of the following illustration.

Let an expression be represented as

ax^n

Where the variable is n

In the expression

Coefficient = a

Variable = x

Power = n

Using the above as a guide, the part from the expression above that represents a coefficient is -4.9

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Answer:

3600

Step-by-step explanation:

16500/4.5 to find watt-hours per day.

Answer:

Step-by-step explanation:

17.7 -> 177

19.1 -? ?

17.7177=19.1x

cross multiply

17.7x=19.1(177)

can you solve from there?

The cost to send 98 text messages will be $9.8.

What is mean by proportion?

A proportion is a fraction of a total amount, in which two ratios are set equal to each other.

Given that;

The cost of 177 text messages = $17.70

Now,

Since, The cost of 177 text messages = $17.70

So, The cost to send 98 text messages will be;

= $17.70 x 98 / 177

= $9.8

Thus, The cost to send 98 text messages will be $9.8.

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The inverse of the function y = log(x₊1) is f ⁻¹(x) = 10ˣ ₋ 1.

Given the function is :

y = log(x₊1)

we are asked to find the inverse of the function.

steps to find inverse function are:

now interchange the positions of x and y in the function.

x = log₁₀ (y ₊ 1)

the next step is to isolate the dependent variables.

f ⁻¹(x) = ₋1 ₊ 10ˣ

f ⁻¹(x) = 10ˣ ₋ 1

hence, we get the inverse of the given function as f ⁻¹(x) = 10ˣ ₋ 1.

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Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, subtraction, multiplication, and division.

-x² + 3x +3 is the domain of all real numbers.

Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, subtraction, multiplication, and division.

Let the two functions be f and g then f(x) = 3x - 2 and g(x) = x² + 1.

we have to calculate (f - g)(x)

Which is equivalent to:

(f - g)(x) = f(x) - g(x)

Taking the two functions and substituting them into this expression, we get,

f(x) - g(x) = (3x - 2) - (x² + 1)

simplifying the above function, we get

f(x) - g(x) = 3x - 2 - x² - 1

(f - g)(x) = -x² + 3x - 2 - 1

Therefore, (f - g)(x) = -x² + 3x +3

We must also determine the domain of the new function. However, because this is a second-order function with no denominators, logarithms, or roots, there are no restrictions on the value of x; thus, the domain is all real numbers.

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Step-by-step explanation:

The hypotenuse is the longest side of the right-angled triangle. The angle about which Julian is describing is ∠G.

Answer:

A. <G

Step-by-step explanation:

Took the test on edge, hope this helps

The expressions are:

1. 6h² - 4h - 2

2. 6c² + c - h +9

Algebraic expressions are expressions made up of constants, terms, coefficients and variables.

Given the expressions;

h² + 4h - 4

5h² - 8h + 2

Let's take the sum

h² + 4h - 4 + 5h² - 8h + 2

collect like terms

h² + 5h² + 4h - 8h - 4 + 2

6h² - 4h - 2

Let's subtract 3c - 5 from 6c² + 3c + 9

6c² + 3c + 9 - 2c - h

collect like terms

6c² + 3c - 2c - h +9

6c² + c - h +9

Hence, the expressions are 6h² - 4h - 2 and 6c² + c - h +9

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Recursive expressions are ways of expressing sequence using functions. The fifth term of the recursive sequence is 405.

Recursive functions are ways of expressing sequence using functions.

Given the following recursive functions

a₁=5 and;

aₙ = -3aₙ₋₁

For the second term;

a₂ = -3a₁

a₂  = -3(5)

a₂  = -15

For the third term a₃

a₃ = -3a₂
a₃ = -3(-15)

a₃ = 45

For the fourth term

a₄ = 3a₃

a₄ = 3(45)

a₄ = 135

For the fifth term

a₅ = 3a₄

a₅ = 3(135)
a₅ = 405

Hence the fifth term of the recursive sequence is 405.

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Answer:

KM = 18

Step-by-step explanation:

KL and LM make up KM so if added together, we'd get the value of KM.

3 + 15 = 18

Shop A sells a dress for $79.50 with a 20% discount while Shop B sells the same dress for $69.50 with a 10% discount is $ 318 and $ 625.5.

The proportion of value in relation to the original value is measured using the percentage discount concept. In business, percentages are frequently employed to calculate a company's profit or loss percentage.

Let x be the actual cost of the dress in the store. A

20/100 ×x = 79.50 x = 79.50 ×100/20 xx = 7950/20

x = $ 397.5

The actual cost of clothing A is $397.5.

Discount of outfit A therefore equals 20%

$397.5-79.5$= $ 318

Let x represent the true cost of dress B.

(10/100)× x = 69.50$

x = $695

The actual cost of dress B is $695.

So, the dress B's discount is 10%.

$ 695 - 69.50 = $ 625.5

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[tex]2^{10}.2^8.2^6.2^4.2^2.2^{-1}.2^{-3}.2^{-5}.2^{-7}.2^{-9}[/tex] = 32

We need to compute [tex]\bold{2^{10}.2^8.2^6.2^4.2^2.2^{-1}.2^{-3}.2^{-5}.2^{-7}.2^{-9}}[/tex] .

This is the product of exponential numbers with same bases.

We use rules of exponents:

Using the first rule we can rewrite

[tex]2^{10}.2^8.2^6.2^4.2^2.2^{-1}.2^{-3}.2^{-5}.2^{-7}.2^{-9}[/tex]

as,

[tex]2^{10+8+6+4+2}.2^{-1-3-5-7-9} = 2^{10+8+6+4+2}.2^{-(1+3+5+7+9)}[/tex]

Using the second rule,

[tex]2^{10+8+6+4+2}.2^{-(1+3+5+7+9)} = \frac{2^{10+8+6+4+2}}{2^{1+3+5+7+9} }[/tex]

                                            [tex]=\frac{2^{30}}{2^{25}}[/tex]

                                            [tex]\bold{= 2^5 = 32}[/tex]                        

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The simplification of 25p^6q^9 / 45p^8q^4 using a positive exponent;

Algebraic expressions are expressions made up of factors, variables, terms, coefficients and constants.

They are also comprised of arithmetic operations such as addition, subtraction, multiplication, division, etc

We also know that index forms are also know as standard forms.

They are mathematical expressions showing the power of exponent of a variable in terms of another variable.

Given the index algebraic forms;

25p^6q^9 / 45p^8q^4

Using the rule of indices, we take the negative exponent of the divisor and multiply through.

We have;

5p^6 q^9 × 9p^-8 q^-4

Add exponential values

5/9 p^6-8 q^9 -4

5/9 p^-2 q^5

Thus, the expression is simplified to 5/9 p^-2 q^5

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An expression which represent his father's age three (3) years from now is: A. 3x + 15.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to write and solve this word problem, we would assign variables to the son's and father's age and then evaluate the resulting algebraic expression.

Translating the word problem into an equation, we have;

y = 4x

y + 2 + 3  = 3(x + 2 + 3)

y + 5 = 3(x + 5)

y + 5 = 3x + 15

Therefore, an expression which represent his father's age three years from now is 3x + 15.

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