A test has twenty questions
worth 100 points. Some
questions are worth three points,
some are worth eleven points.
How many three-point questions
are there? How many eleven
point questions are there?

Answer:

last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve an algebraic expression in simplest form, you can follow these steps:

1. Use the order of operations (PEMDAS) to simplify any arithmetic in the expression (parentheses, exponents, multiplication and division, addition and subtraction).

2. Combine like terms by adding or subtracting any coefficients in front of similar variables.

3. Divide or multiply both sides of the equation by the same non-zero number to solve for the variable.

4. If possible, factor the expression to make it simpler.

5. If the expression is a fraction, check for a common denominator and then simplify by canceling any common factors in the numerator and denominator.

6. If the expression is a radical, check for a perfect square and simplify by taking the square root of the number inside the radical.

7. Use the properties of exponents and logarithms to simplify the expression.

8. Evaluate the expression by plugging in the values of any known variables.

It's important to keep in mind that there may be multiple ways to simplify an algebraic expression and the solution that is in simplest form may not always be obvious.

Answer:

-19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define Expression

3² + (9 - 16)(4)

Step 2: Evaluate

Answer:

Step-by-step explanation:

BODMAS=bracket

O=of

D=division

M=multiplication

A=addition

S=subtraction

3*3=9

9+(9-16)(4)

9+(7)(4)

9-28

-19

Answer:

Below in bold.

Step-by-step explanation:

The sum of 17 terms is 107.1.

Sn = (n/2)[2a + (n-1)d]   where a = first term and d = common difference

(17/2) (2a + (17-1)(-4)) = 107.1

8.5(2a -64) = 107.1

17a - 544 = 107.1

17a = 651.1

a = 38.3 = First term

The last term is the 17th so

L = a + (n - 1) d

  = 38.3 + 16*-4

  = -25.7.

Answer:

98.1747704in^3

Step-by-step explanation:

See my comment below:

Answer:

4.3 dollars per pound

Step-by-step explanation:

price / pound = ?

$9.03 / 2.1 lbs. = 4.3

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:

no

Step-by-step explanation:

it is rational because it is a terminating decimal

No 0.875 , it is rational It can be expressed as the quotient of two integers.

Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios made up of integers.

rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

No, 0.875 a irrational number.

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Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

Yes

Step-by-step explanation:

Triangle inequality theorem states that a triangle can exist if

a + b > c; a + c > b; b + c > a

a = 2; b = 10; c = 11

2 + 10 = 12; 12 > 11.

2 + 11 = 13; 13 > 10.

10 + 11 = 21; 21 > 2.

Answer:

{x,y} = {33/19,-2/19}

Step-by-step explanation:

Answer: For 5x-3y=-11, the answer is y=11/3 + 5x/3.

For 2x-5y=-14, the answer is y=14/5 + 2x/5

Step-by-step explanation: Move all terms that do not contain y to the right side and then solve.

I hope this helps you out! :)

Answer:

option D is pretty close but not parallel obviously

The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

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it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

A cluster sample is a sampling technique where the population is divided into clusters or groups, and a subset of clusters is selected at random to form the overall sample. In this type of sampling, all members of the selected clusters are included in the sample.

In the given example, the airline company selects 555 flights as clusters and surveys every passenger on those flights. Each flight represents a cluster, and by selecting random flights, the company includes every passenger on those selected flights in the survey.

This cluster sampling approach is suitable when each group or cluster is representative of the overall population. It is useful when it is impractical or costly to sample every individual unit within the population, but the selected clusters are expected to reflect the characteristics of the entire population.

Cluster sampling allows for more practical data collection, particularly when dealing with large populations or geographically dispersed units. However, it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

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Answer: 60000

Step-by-step explanation:

The ten thousands place is the 5th digit from the right. Because the digit in the thousands place is less than 5, round down to 60000.

The value of x in expression above is 12.

This equation is a proportion involving two fractions, with the unknown variable 'x.' Our goal is to solve for x.

To do this, we can apply the cross-multiplication method.

Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction, and vice versa.

In this case, we multiply 15 by 100 and 125 by x:

15 * 100 = 125 * x

1500 = 125x

Now, we want to isolate x by dividing both sides of the equation by 125:

1500 / 125 = 125x / 125 12 = x

Therefore, the value of x is 12.

In the context of the original equation, this means that 15 is to 125 as 12 is to 100.

You can think of this as finding the percentage of 15 out of 125, which is 12%.

Your question is incomplete but most probably your full question was:

15/125 = x/100. What's the value of x?

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Answer:

7.5cm because 2+5 is 7 and add 5 for mean point

Answer:

A 4

Step-by-step explanation:

the vertex form of a parabola is

y = a(x - h)² + k

with (h, k) being the vertex.

in our case

y = a(x - -5)² + -2 = a(x + 5)² - 2

we can calculate a by using the given point information.

the vertex itself does not help much, because it renders the x-term to 0.

so, we use the other given point (-4, 2) :

2 = a(-4 + 5)² - 2

4 = a(1)² = a

======================================================

Work Shown:

c = number of correct answers

w = number of wrong answers

n = number of questions not attempted

2c = points you get from all the correct answers

-1w = points you get from all the wrong answers

0n = points you get from all the questions attempted

2c-1w+0n = 2c-w = total number of points

In this case, she got 8 correct answers and 2 wrong answers. So c = 8 and w = 2 which leads to

2c-w = 2*8-2 = 16-2 = 14

Her total score is 14.

the net population growth in the US in 2009 was 1.8 million people.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

First, we need to convert the number of births and deaths per million people to the actual number of births and deaths in the entire population:

Number of births = 14,000 per million people * 300 million people = 4.2 million

Number of deaths = 8,000 per million people * 300 million people = 2.4 million

Next, we can calculate the net population growth by subtracting the number of deaths from the number of births:

Net population growth = Number of births - Number of deaths

Net population growth = 4.2 million - 2.4 million

Net population growth = 1.8 million

Therefore, the net population growth in the US in 2009 was 1.8 million people.

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Answer:

22

Step-by-step explanation:

As we go to high numbers of segments, if we double the number of segments, the error is to be multiplied by 1/4

The inaccuracy should often reduce as we increase the number of segments in the composite rectangle rule integration. In particular, with the composite rectangle rule, we estimate the error to be roughly increased by 1/4 if the number of segments is ideally doubled.

Because of this, the composite rectangle rule's error, which is determined by the formula (b-a)/n. In the given equation, b denotes upper bound of integration, a denotes lower bound of integration, and n denotes total number of segments, which is inversely proportional to the width of the segments. The width of the segments changes to (b-a)/(2n), which is half of their initial width, when the number of segments is doubled. Thus, the mistake should be multiplied by 1/4 or split by 4.

Complete Question:

As we go to high numbers of segments, if we double the number if segments in composite rectangle rule integration, we expect the error to be multiplied by approximately what?

a. 1/2

b. 1/4

c. 2

d. 4

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Answer:

2 solutions

Step-by-step explanation:

use desmos graphing calculator next time, it will help u so much.

Answer:

7. the solutions to the equation 2x^2 + x - 21 = 0 are x = -7/2 and x = 3

To factor the quadratic equation, we need to find two numbers that multiply to -42 and add up to 1. These numbers are 7 and -6. We can write:

2x^2 + x - 21 = 0

2x^2 + 7x - 6x - 21 = 0

(2x^2 + 7x) - (6x + 21) = 0

x(2x + 7) - 3(2x + 7) = 0

(2x + 7)(x - 3) = 0

Setting each factor equal to zero gives:

2x + 7 = 0 or x - 3 = 0

Solving for x, we get:

2x = -7,

x = -7/2 or x = 3

8. It took the receiver about 1.1 seconds to catch the ball.

Rearrange the equation to standard form, which is in the form of ax^2 + bx + c = 0:

-4.9t^2 + 7.5t - 0.3 = 0

Now we can use the quadratic formula to solve for t:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

Substituting in the values, we get:

t = (-7.5 ± sqrt(7.5^2 - 4(-4.9)(-0.3))) / 2(-4.9)

t = (-7.5 ± sqrt(56.25 - 5.88)) / (-9.8)

t = (-7.5 ± sqrt(50.37)) / (-9.8)

t ≈ 1.1 seconds or t ≈ 0.06 seconds

Since the time can't be negative, we can discard the negative solution.

Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7, has the 87.29%. probability of P (X > 42)

The random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7.

To find the probability P(X > 42), we need to find the z-score first using the formula:

z = (X - μ) / σ

z = (42 - 50) / 7

z = -1.14

Now, we can find the probability P(X > 42) using the standard normal distribution table or calculator as follows:P(X > 42) = P(Z > -1.14)

From the standard normal distribution table, we can find the area to the left of z = -1.14, which is 0.1271.

Therefore, the area to the right of z = -1.14 (i.e., P(Z > -1.14)) is:

P(Z > -1.14) = 1 - P(Z < -1.14) = 1 - 0.1271 = 0.8729

Therefore, the probability that X is greater than 42 is 0.8729 or approximately 87.29%.

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Answer:

see explanation

Step-by-step explanation:

given y varies as t , then the equation relating them is

y = kt ← k is the constant of variation

to find k use the condition y = 6 when t = 4

6 = 4k ( divide both sides by 4 )

\(\frac{6}{4}\) = k , that is

k = \(\frac{3}{2}\)

y = \(\frac{3}{2}\) t ← equation of variation

(a)

when t = 6 , then

y = \(\frac{3}{2}\) × 6 = 3 × 3 = 9

(b)

when y = 4 , then

4 = \(\frac{3}{2}\) t ( multiply both sides by 2 to clear the fraction )

8 = 3t ( divide both sides by 3 )

\(\frac{8}{3}\) = t

Answer: 62%

Step-by-step explanation: Search math w ay on the internet for clarification and further math problems :)