A_S_A_P PLS :)
I need help with Middle school math question in grade 7
So can someone show me the work you did for this :)
"Three bags of lawn seed covers 1800 ft2. How many bags are needed to cover 8400 ft2"

Answer:

measurement of each interior angle of a regular hexagon is 120°

sum of the numbered angles is 720°

Step-by-step explanation:

m<1 = 120°

m<2 = 120°

m<3 = 120°

the sum of the all the numbered six interior angles of a regular hexagon = 720°

The circumference of a regulation high school soccer ball is approximately 68 cm. What is the volume of this soccer ball The circumference of a regulation high school soccer ball is approximately 68 cm. A circumference is the distance around a circular object. The formula for the circumference of a circle is:

C=2πr  Where C is the circumference, π is the mathematical constant pi (approximately equal to 3.14159), and r is the radius of the circle. Since we know that the circumference of the soccer ball is approximately 68 cm, we can use the formula to solve for the radius:

r = C / (2π) = 68 / (2 × 3.14159) ≈ 10.82 cm Now that we know the radius of the soccer ball is approximately 10.82 cm, we can use the formula for the volume of a sphere to solve for the volume:

V = (4/3)πr³V = (4/3)π(10.82)³V ≈ 5217.67 cubic centimeters Therefore, the volume of the soccer ball is approximately 5217.67 cubic centimeters.

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The probability of a carryout order being ready within 20 minutes is approximately 0.5507

We know that the time required for a carryout order to be ready for customer pickup follows an exponential distribution with a mean of 25 minutes. The probability density function for an exponential distribution is given by

f(x) = λe^(-λx)

where λ is the rate parameter

We can find the rate parameter λ using the mean

mean = 1/λ

λ = 1/mean = 1/25 = 0.04

So the probability of a carryout order being ready within 20 minutes is

P(X ≤ 20) = ∫₀²⁰ λe^(-λx) dx

P(X ≤ 20) = [-e^(-λx)]₀²⁰

P(X ≤ 20) = [-e^(-0.04x)]₀²⁰

P(X ≤ 20) = [-e^(-0.8)] - [-1]

P(X ≤ 20) = 0.5507

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The given question is incomplete, the complete question is:

Collina’s Italian Café in Houston, Texas, advertises that carryout orders take about 25 minutes (Collina’s website, February 27, 2008). Assume that the time required for a carryout order to be ready for customer pickup has an exponential distribution with a mean of 25 minutes. What is the probability than a carryout order will be ready within 20 minutes?

All subpars are not correct.

In a completely randomized experiment, the subjects are randomly assigned to different treatment groups. In this study, the male and female volunteers are divided into two groups (group 1 and group 2) using random assignment. This allows the researcher to evaluate the effect of positive thinking on cognitive ability by comparing the performance of the two groups.

In a completely randomized experiment, participants are randomly assigned to different groups or conditions. In this study, the male and female volunteers were randomly divided into two groups, and one group was asked to write down their skills while the other group was asked to write down their breakfast. This random assignment ensures that any differences observed between the two groups can be attributed to the manipulation (positive thinking vs. breakfast) rather than pre-existing differences between the participant

Therefore, all subpars are not correct.

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The standard form of equation of line is Ax + By = C, where A and B are constant.

Thus, a linear equation to variables x and y has the following standard form: Ax + By = C, where A, C and B are constant.

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Answer:

16/12  or 4/3

Math

Answer:

117 cm²

Step-by-step explanation:

Right triangular prism: 5 surfaces

SA: 2 triangles + 3 rectangles

Triangles

A = bh/2

A = (4 · 3)/2 = 12/2

6 cm²

Rectangles

A = bh

A = 5 · 7

35 cm²

Total

SA: 2 triangles + 3 rectangles

SA: 2(6) + 3(35)

117 cm²

Hope this helps and God bless!

Answer:

(3,8)

Step-by-step explanation:

Step-by-step explanation:

put value of y in equation 2

4x + (x + 5) =20

open the brackets

5x + 5 = 20

5x = 20 - 5

5x = 15

x = 15/3

x = 5

putting value of x in y we get

y = 10

GOOD LUCK FOR THE FUTURE! :)

Answer:

< 5 + < 6 = 180°

Step-by-step explanation:

The sum of angles 5 and 6 are 180° because they are adjacent supplementary angles--they have a common arm and a common vertex. The adjacent supplementary angles share the common line segment and vertex with each other. Two angles are also supplementary, if one of its angles is an acute angle and another angle is an obtuse angle. These characteristics match the given figure.

Therefore, < 5 and < 6 are supplementary angles, and have a sum of 180°.

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The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7

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

x   f(x)

-1   3

1     6

2    5

3    7

7   8

Using the above as a guide, we have the following:

f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation

So, we have

f-¹ (3) = -1 and f-¹ (8) = 7

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Answer:

13

Step-by-step explanation:

Distance between points (1, 3) and (6, 15) is 13

(5, 35) is a 90% confidence interval for the difference between the proportions of both populations.

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Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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Answer:

x=5

Step-by-step explanation:

\(\frac{10}{x} = \frac{4x}{10}\)

\(4x^{2} =100\\x^{2} =25\\x=5\)

Answer:

8842

Step-by-step explanation:

The approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

To calculate the approximate balance of the savings account after 33 years with monthly compounding interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Substituting the values into the formula:

A = $7500(1 + 0.0512/12)^(12*33)

Calculating inside the parentheses first:

A = $7500(1 + 0.00427)^(396)

Now, raising to the power:

A ≈ $7500(1.00427)^(396)

Evaluating this expression:

A ≈ $7500 * 56.951

A ≈ $425,632.50

Therefore, the approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

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Answer:

-3.5,-3,-2\(\frac{1}{2}\), -2,2.5

Step-by-step explanation:

For numbers that are negative, the larger the number is the lesser the value is. For numbers that are positive, the larger the number is the larger is value is. Positive numbers are always greater than negative numbers.

Answer:

-3.5 | -3 | -2\(\frac{1}{2}\) | -2 | 2.5 |

Step-by-step explanation:

Negative number are smaller than positive numbers so 2.5 is the largest number. Negative numbers are kind of opposite of positive numbers. The larger the negative number is, the smaller it is. With positive numbers, the larger the number, the larger the value is.

Answer: g(4)=-17

Step-by-step explanation:

You just plug in 4 into x.

-3(4)-5
-12-5
=17

Answer:

g(4) = -17

Step-by-step explanation:

Hello!

Substitute 4 for x in the equation.

g(4) is -17.

Answer:

255

Step-by-step explanation:

The summation value of the term in the series will be equal to

3 + 12 +48 + 192 after calculation.

Here, we have,

We know that, summation:

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.

Now we have a given term

∑(n = 1 to 4) 3(4)^n-1

By solving the above term;

∑(n = 1 to 4) 3(4)^n-1

=3 + 12 +48 + 192

Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

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Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.

Here's a general overview of the process of converting a raw score to a scaled LSAT score:

- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.

- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.

- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.

It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.

Step-by-step explanation:

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Acceptance sampling is a quality control technique that involves inspectors randomly selecting samples (or batches) of finished products and measuring them against predetermined standards.  

Acceptance sampling can be of two types: variable or attribute. In variable sampling, measurements are taken on a continuous scale, such as weight or length. On the other hand, attribute sampling involves assessing the presence or absence of a specific characteristic, such as defects or conformity.

In the business environment, attribute inspection is more commonly used.

Therefore, all of the statements mentioned in options A, B, and C are true when it comes to acceptance sampling. I hope this helps! Let me know if you have any further questions.

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hey mate, here is ur answer in the attachment!

a) 16 students prefer burgers only.

b) 19 students prefer fries only.

c) 43 students prefer burgers or fries.

d) 0 students prefer neither burgers nor fries.

To find the number of students who prefer burgers only, we subtract the number of students who prefer both from the total number of students who prefer burgers:

a) Students who prefer burgers only = Total students who prefer burgers - Students who prefer both = 28 - 12

= 16

To find the number of students who prefer fries only, we subtract the number of students who prefer both from the total number of students who prefer fries:

b) Students who prefer fries only = Total students who prefer fries - Students who prefer both = 31 - 12

= 19

To find the number of students who prefer burgers or fries, we add the number of students who prefer burgers only, the number of students who prefer fries only, and the number of students who prefer both:

c) Students who prefer burgers or fries = Students who prefer burgers only + Students who prefer fries only + Students who prefer both

= 16 + 19 + 12

= 43

To find the number of students who prefer neither burgers nor fries, we subtract the total number of students who prefer burgers or fries from the total number of students:

d) Students who prefer neither burgers nor fries = Total students - Students who prefer burgers or fries = Total students - (Students who prefer burgers only + Students who prefer fries only + Students who prefer both) = Total students - 43

= Total students - 43

= 0

a) 16 students prefer burgers only.

b) 19 students prefer fries only.

c) 43 students prefer burgers or fries.

d) 0 students prefer neither burgers nor fries.

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The two expressions that make up an equation or an inequality are connected in a mathematical statement.

How do you identify inequalities?

The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 5x 4, is larger than the right part, 2x + 3, in the equation.

A mathematical inequality is a comparison made between two algebraic expressions using the larger than (>), less than (), and other inequality symbols. An inequality pair connected by and or or is referred to as a compound inequality.

B. 3t + 3.5c <= 180 and 30t + 38c >= 1500.

The first inequality represents the constraint that the carpenter cannot work more than 180 hours in a month. The second inequality represents the requirement that they earn at least $1500 in a month.

These two inequalities, combined, describe the conditions that the carpenter must satisfy in order to manufacture tables and chairs in a way that meets both the time constraint and the income requirement.

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Answer:-8, -6,-3, 4 is the correct answer

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Answer:

Interval notation for m: (-3,3)

Inequality notation: -3<m<3

In words: Anything between -3 and 3 without including either -3 or 3.

Step-by-step explanation:

If we want no real roots then b^2-4ac must be less than 0.

a=1

b=2m

c=9

These values were found by comparing your equation to ax^2+bx+c=0.

b^2-4ac<0 is what we are trying to satisfy

(2m)^2-4(1)(9)<0

4m^2-36<0

Divide both sides by 4:

m^2-9<0

Add 9 on both sides:

m^2<9

m^2<9 when m<3 and m>-3.

Interval notation (-3,3).

Answer:

1. no solution

2. one solution

3. infinitely many solutions

4. one solution

Step-by-step explanation:

1. same slope, different intercepts, parallel lines, no solution

2. different slopes, lines intersect at 1 point, one solution

3. same equation, infinitely many solutions

4. different slopes, lines intersect at 1 point, one solution

Answer:

4.95

Step-by-step explanation:

The volume of the rectangular prism is 16.2 ft³.

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

\(V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3\)

\(V = \frac{6}{5} \times \frac{9}{2} \times 3\)

V = 162/10

V = 16.2

Hence, the volume of the rectangular prism is 16.2 ft³.

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