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The age of Spencer's sister is 4 years old.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Spencer is 10 years old. His age is two years less than three times his sister's age.

Let the age of Spencer's sister be x

According to the question,

3x - 2 = 10

3x = 10 +2

3x = 12

x = 12/3

x = 4

Hence, The age of Spencer's sister is 4 years old.

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Answer:

The student can proceed with the calculation of the confidence interval for the difference in population proportions. This is because, from the data she has, 3/4 of the Business students admitted to cheating while 1/2 of the Nursing students admitted to cheating also.

This is above the average number of students in her given sample size which is valid for extrapolation to the College Majors being investigated.

Step-by-step explanation:

Answer:

The numerator will simplified to 13t-2

Step-by-step explanation:

After you write the numerators with the common denominator, you collect like terms and then calculate.

Answer:

A , B , E

Step-by-step explanation:

Correct on edge 2021. Just did the assignment.

Have a good day <3

Answer:

how many weeks are in a year?  52 so   2000 / 52 = ?

Step-by-step explanation:

the question asks how many  WEEKS to save 2000.... so just divide the weeks of one year into 2000 that you want to save for that year

my calculator says 2000/52=38.46  

so save $ 38.46 each week

Answer:

Step-by-step explanation:

45

Answer:

(Sorry this is a late response) This fraction 6 3/5 would equal 6.6 so 6 3/5=6.6 Then you will do 6.6 times 15.38=101.508 or 101.5

Step-by-step explanation:

You would divide 3 and 5 or 5 and 3 because 3 and 5 equals the fraction 3/5. The dividend is 3 and the 5 is the divisor. The quotient of this is 0.6. So the next step would be to add the 6 from 6 3/5 so this is the whole number so add it in front of 0.6 so it would turn into 6.6. The last step is to multiply the weight of the orange by the mg of vitamin C/oz that is 15.38 so multiply 6.6 by 15.38 this would equal 101.508 so you would just round this to a better answer and that would make it 101.5. I hope this helps :0

Answer:

Step-by-step explanation:

A coefficient is basically the number infront of a variable or term.

E.g. the coefficient in 7x is 7

The coefficient in 23y is 23

The coefficient in 43a is 43.

So for your question: 7a + 23b + 2c + 16,

The coefficients are 7, 23 and 2

Answer:

y= 4/3x -2 or y=1[tex]\frac{1}{3}[/tex] -2

Step-by-step explanation:

Answer:

Diverges

Step-by-step explanation:

3/(4ⁿ) = 3 (¼)ⁿ is a geometric series with r = ¼, which converges.

7/n is a harmonic series, which diverges.

The sum of a convergent series and a divergent series is divergent.

Answer:

5 units long

Step-by-step explanation:

If you graph it, it is a simple straight line 5 units long between A and B.

You could also use the distance formula if you had to do more advanced distance calculations.

The distance formula is d=√((x2-x1)²+(y2-y1)²)

Answer:

1,440.

Step-by-step explanation:

39 is closer to 40.

1,400 is unchanged.

Answer:

2

Step-by-step explanation:

2/3(2) + 1/2 = 5/6

If it's 2/3 * X then x is equal to 1/2.

Answer:

0.32472

Step-by-step explanation:

Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.

The formula for calculating a z-score is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation

z = (9 - 10)/2.2

z = -1/2.2

= -0.45455

Probability value from Z-Table:

P(x ≤ 9) = P(x < 9)

= 0.32472

Therefore, the proportion of trees having a diameter less than 9 inches is

0.32472

The proportion of trees having a diameter less than 9 inches is 32.64%

z score is used to determine by how many standard deviations the raw score is above or below the mean.

It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score.\mu\ is\ mean,\sigma\ is \ standard \ deviation[/tex]

Given that μ = 10, σ = 2.2, hence:

[tex]For\ x<9:\\\\z=\frac{9-10}{2.2} =-0.45[/tex]

From the normal distribution table, P(x < 9) = P(z < -0.45) = 0.3264 = 32.64%

The proportion of trees having a diameter less than 9 inches is 32.64%

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Answer:

Range: [5,∞),{y|y≥5}

Step-by-step explanation:

Set the radicand in √x greater than or equal to 0 to find where the expression is defined.

x≥0

the domain is all values of X that make the expression defined.

Interval Notation:

[0,∞)

Set-Builder Notation:

{x|x≥0}

The range of an even indexed radical starts at its starting point (0,5) and extends to infinity.

Interval Notation:

[5,∞)

Set-Builder Notation:

{y|y≥5}

Determine the domain and range.

Domain: [0,∞),{x|x≥0}

Range: [5,∞),{y|y≥5}

I hope this helps you. Sorry if it doesn’t!!!!

Answer:

b<4 , I am not 100% sure on the graphing part and I have done this in 7th grade but I think it is A, not 100% sure.

Answer:

i love you sm

Step-by-step explanation:

Answer:

f(x) = 3x^3 + 3x^2 - 6x.

Step-by-step explanation:

Let:

f(x) = x(x - 1)(x + 2)

= x(x^2 + x - 2)

= x^3 + x^2 - 2x - this might be the answer or it might be some multiple of this.

Now f(2) = 24 so

24 = a(2^3 + 2^2 - 2(2))  where a is a constant.

24 = 8a

a = 3

So the function is

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

=  3x^3 + 3x^2 - 6x.

Answer:

8

Step-by-step explanation:

4/7 = ?/14

Multiply the numerator and denominator of the left fraction by 2.

8/14 = ?/14

That means that ? = 8

Answer: 8

Answer:

8

Step-by-step explanation:

Step 1:

4/7 = x/14        Proportion

Step 2:

7x = 56       Multiply

Step 3:

x = 56 ÷ 7       Divide

Answer:

x = 8

Hope This Helps :)

Answer: -3/2

Step-by-step explanation:

Answer:

y=nx−2+6n

Step-by-step explanation:

I have used the slope-intercept form to find the answer.

Hope this helps :)

Answer:

(30x2)x2

Step-by-step explanation:

Answer:

Step-by-step explanation:

O

Answer:

2(b-2)=6

Step-by-step explanation:

Twice the difference means multiply the difference by two

It explains the difference being between the unknown number(b) and 2

The answer is said to be six

So you put the difference (b-2)

Multiply it 2(b-2)

and finally, add the answer: 2(b-2)=6

The equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

Given that, twice the difference of a number and 2 equals 6.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Use the variable b for the unknown number.

2(b-2)=6

⇒ b-2=3

⇒ b=5

Therefore, the equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

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Answer:

f^-1(x) = 4(x+5)/3

Step-by-step explanation:

Let f(x) = y

So, y = (3/4)x - 5

y + 5 = (3/4)x

4(y+5)/3 = x

The steps are first to make a variable that holds the same value as the function, then from there you simplify and eventually make x the subject of the equation.

An expression is defined as a set of numbers, variables, and mathematical operations. The value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression −b²−2bx²−x will be,

−b² − 2bx² − x

= − b² − 2b(-2)² − (-2)

= − b² − 8b + 4

Hence, the value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.

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Answer:

6 ounces per serving

Step-by-step explanation:

If you divide 15 ounces by 2.5 servings, you get 6 ounces per serving. I guess this is what you are trying to find, and hopefully it helps!

Answer:

Doesn't 2+7 = 9 itself?

Step-by-step explanation:

Answer:

g = h/f - d/f

Step-by-step explanation:

Answer:

4 questions

Step-by-step explanation:

To find a percentage of a number, you move the decimal mark all the way to the left.

87.5% becomes 0.875

Next you multiply 32 by 0.875 to find the percentage of questions that are completed

32 x 0.875 = 28

28 out of 32 questions have been solved, so now you subtract 28 from 32

32 - 28= 4

There are 4 questions to complete

h = time in hours

20 + 4h = 546

4h = 526

h = 131.5

131.5 hours

Answer:

If the answer is north why did you post it?