For a sound with intensity I (in watts per square meter), the loudness L(I) of the sound (in decibels) is given by the function L(I) = 10log I/I0 where I0 is the intensity of a barely audible sound (about 10^-12 watt per square meter). The intensity of the sound of a truck is 4 times greater than the intensity of the bicycle it passes. By how many decibels does the loudness increase? Round to the nearest decibel.
(The 0 next to the I should be a subscript).

The measure of angle LMQ from the given figure is 97°.

In the given figure, ∠L=92°, ∠N=55°, ∠Q=85° and ∠45°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

In ΔLMN

Using angle sum property of triangle

∠L+∠N+∠LMN=180°

⇒ 92°+55°+∠LMN=180°

⇒ 147°+∠LMN=180°

⇒ ∠LMN=180°-147°

⇒ ∠LMN=33°

In ΔMQR

Using angle sum property of triangle

∠Q+∠R+∠QMR=180°

⇒ 85°+45°+∠QMR=180°

⇒ 130°+∠QMR=180°

⇒ ∠QMR=50°

So, ∠LMN+∠LMQ+∠QMR=180° (Angles from same point on straight line)

⇒ 33°+∠LMQ+50°=180°

⇒ 83°+∠LMQ=180°

⇒ ∠LMQ=180°-83°

⇒ ∠LMQ=97°

Therefore, the measure of angle LMQ from the given figure is 97°.

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Unfortunately, based on the information provided, I cannot determine the measure of y. It seems like the numbers 4, N, 16, y, and Х are given without any context or relation to each other. If you provide more information or context, I may be able to help you solve the problem.

Answer:

58.3%

Step-by-step explanation:

7/12 = 0.583333333

0.583333333 simplified is 58.3%

Answer:

Approximately 58.3%.

Step-by-step explanation:

7/12 ≈ 0.583

0.583 = 58.3%

Answer:B

Step-by-step explanation:

B because 3 is still x answers are just flipped

Answer:

The slope is 2.

Step-by-step explanation:

You can take the second plotted point of the graph. (2,4)

Since slope is y/x, the equation is 4/2.

4/2=2

Hello !

Answer:

\(\boxed{\sf Triangle\ ABC\ is\ not\ right-angled.}\)

Step-by-step explanation:

Given :

The perimeter of triangle ABC is 25cm.

Moreover, this perimeter is equal to \(\sf AB+AC+CB\).

Therefore, we have \(\sf AB+AC+CB=25\)

Let's replace AB and BC with their values :

\(\sf 8.5+6.3+AC=25\)

\(\sf AC+14.8=25\)

Now let's substract 14.8 from both sides :

\(\sf AC=25-14.8\\\boxed{\sf AC=10.2cm}\)

Furthermore, according to the Pythagorean Theorem, if the triangle is right-angled, then the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides.

The hypotenuse is the largest side, so in this triangle, it is AC.

\(AC^2\ne AB^2+BC^2\)

Triangle ABC is not right-angled.

Have a nice day ;)

Answer:

y=-1/2+6

Step-by-step explanation:

Answer:

Y= -1/2x + 6

Step-by-step explanation:

Answer: (x - 6)(x + 6)

Step-by-step explanation:

To factor this, recall the difference of squares

\(a^{2} - b^{2} = (a-b)(a+b)\)

And because 36 is \(6^{2}\), that means

\(x^{2} - 36 = x^{2} - 6^{2} = (x-6)(x+6)\)

\( \bold{(x-6)(x+6)}\)

To simplify this equation, quadratic factoring patterns should be used. These patterns are the following:

\( \bold{a^2-b^2=(a-b)(a+b)}\)

This pattern works because if one distributes the terms in the parentheses by multiplying each term in one of the parentheses by each term in the other, the result is the original equation:

\( \bold{36=6^2}\)

So it can be applied to the given equation:

\( \bold{x^2-36}\)

\( \bold{ \bold{\boxed{(x-6)(x+6)}}}\)

The factored form of the expression is \(\bold{(x-6)(x+6)}\)

Step-by-step explanation:

Answer: Yes Sofia will have enough money

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

Explanation:

Refer to the drawing below. I've split the hexagon into two pieces. The bottom is a rectangle and the top is a trapezoid.

The area of the rectangle is 16*7 = 112 square meters.

The trapezoid has 16 as one of the parallel sides. The other side is x meters. We'll use the perimeter 54 to determine what x must be

sum of the exterior sides = perimeter

6+7+16+7+6+x = 54

42+x = 54

x = 54-42

x = 12

The top most side is 12 meters. This is the missing side of the trapezoid. The hexagon has a height of 12.66 meters, so the trapezoid's height must be 12.66-7 = 5.66 meters. Refer to the blue segment I marked in the drawing below.

area of the trapezoid = 0.5*height*(base1+base2)

area = 0.5*5.66*(16+12)

area = 79.24 square meters

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

Recap so far

The total area of the entire hexagon is therefore 112+79.24 = 191.24 square meters.

Let's convert that to square decimeters.

Recall that 1 decimeter = 10 centimeters

Multiply both sides by 10

1 decimeter = 10 centimeters

10*(1 decimeter) = 10*(10 centimeters)

10 decimeters = 100 centimeters

10 decimeters = 1 meter

Then,

\(191.24 \text{ sq m}= 191.24 \text{ sq m} * \frac{10 \text{ dm}}{1 \text{ m}} * \frac{10 \text{ dm}}{1 \text{ m}}\\\\= \frac{191.24*10*10}{1*1} \text{ sq dm}\\\\= 19124 \text{ sq dm}\\\\\)

The entire lawn is 19124 square decimeters.

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

We have one final block of calculations to determine the total price.

x = number of rolls

1 roll covers 90 square decimeters

x rolls cover 90x square decimeters

90x = 19124

x = 19124/90

x = 212.489 approximately

Round up to the nearest integer to get x = 213. It doesn't matter that 212.489 is closer to 212. We round up to clear the hurdle. It means we'll have leftover grass that isn't used (perhaps it could be handy to have some back up grass just in case mistakes are made, and some patches need to be redone).

In short, Sofia needs 213 rolls.

1 roll costs $4.50

213 rolls will cost 213*4.50 = 958.50 dollars.

This is under the $1000 threshold (with 1000-958.50 = 41.50 dollars to spare).

Sofia will have enough money to pay for all of the grass.

The solution to the system of equations (0.4, 1).

Given equations according to the question,

y = -5x+3

y = 1

Now we can use y = 1 and substitute the value of y in y = -5x+3

After substituting we get, the value of y we get,

= 1 = -5x+3

Now given points according to the questions are

(0.4, 1) , (0.8, 1), (1, 0.4), (1, 0.8).

We substitute these points in the equation to see which points satisfy the equation, the point satisfying the equation is our point.

First, we will use (0.4, 1)

= 1 = -5x+3

= 1 = -5×0.4 + 3

= 1 = -2+3

= 1 = 1

Hence (0.4, 1) is our first solution of the equation.

Then we will use (0.8 ,1)

= 1 = -5x+3

= 1 = -5×0.8 + 3

= 1 = -4+3

= 1 = -1

Hence (0.8, 1) is not out the solution to the equation.

Then we will use (1,0.4)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.4) is not the solution to the equation.

Then we will use (1,0.8)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.8) is not the solution to the equation.

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The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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Answer:

$200

Step-by-step explanation:

30 * 5=150 +50=200

Answer: x+3=0

Step-by-step explanation:

Answer: x+3=0

Step-by-step explanation: make me brainliest please

The expressions that do not represent the average speed of the car when car travels 1000 feet in 12.5 seconds is seconds/ 80 feet.

The average speed  can be described as the total distance traveled which is been calculated with the respect to the object time interval that the object traveled which can be written as m/s.

The average speed of the car can be calculated  using the formula

Speed= distance/time

then substitute the value of distance , 1000 feet and value of time ,  12.5 seconds

Speed=  1000 feet/  12.5 seconds

= 80 feet/seconds

Therefore, the calculation of the speed can be represented by all of the given options except the provided option in the option in the answer because all the option follow the units for the average speed of the car.

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The options to that complete the question are:

80 seconds/feet

​seconds/ 80 feet

80. feet/seconds

Answer:

720

Step-by-step explanation:

Given the data:

Minutes ___0___3 ____6____a____12

W/typed__ 0___120 __ ____360 __480

If number of words typed is proportional to number of minutes

Word typed α number of minutes

Word typed = k * number of minutes

k = constant of proportionality

Take

120 = k * 3

k = 120/3 ; k = 40

If test is 18 minutes long ;

Word typed = k * 18

Word typed = 40 * 18

Word typed = 720

We will have the following:

e)

From this we will find the x & y-intercepts as follows:

*x-intercepts: We replace y = 0 to find them, that is:

So, the x-intercepts are located at (4, 0) & (-4, 0)

*y-intercepts: We replace x = 0 to find them, that is:

So, the y-intercepts are located at (0, 8) & (0, -8).

*The domain is [-4, 4] and the range is [-8, 8].

*We graph it as follows:

The number of favorable outcomes is 10C3 * 3P3.
Probability = (10C3 * 3P3) / 10P10.

The probability of the first car containing three passengers can be calculated by considering the total number of possible outcomes and the number of favorable outcomes.

To determine the total number of possible outcomes, we need to calculate the number of ways to arrange ten passengers in three cars.

This can be calculated using the concept of permutations.

Since the cars are identical, we can consider the passengers as distinct objects.

Therefore, the total number of possible outcomes is 10P10, which is equal to 10!.

To determine the number of favorable outcomes where the first car contains three passengers, we need to consider the number of ways to choose three passengers out of ten and arrange them in the first car.

This can be calculated using combinations and permutations.

The number of ways to choose three passengers out of ten is 10C3, which is equal to 10! / (3! * (10-3)!).

After selecting the three passengers, we need to arrange them in the first car, which can be done in 3P3 ways, equal to 3!.

Therefore, the number of favorable outcomes is 10C3 * 3P3.

The probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = (10C3 * 3P3) / 10P10.

Calculating this expression gives us the probability that the first car will contain three passengers.

Note: The calculations provided here assume that each passenger is equally likely to sit in any car.

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After deducting the amounts for Federal tax, Social Security, and other deductions, the net pay for working 40 hours at an hourly wage of $8.95 is $276.61. Option A.

To calculate the net pay, we need to subtract the deductions from the gross pay.

Given:

Hours worked = 40

Hourly wage = $8.95

Federal tax deduction = $35.24

Social Security deduction = $24.82

Other deductions = $21.33

First, let's calculate the gross pay:

Gross pay = Hours worked * Hourly wage

Gross pay = 40 * $8.95

Gross pay = $358

Next, let's calculate the total deductions:

Total deductions = Federal tax + Social Security + Other deductions

Total deductions = $35.24 + $24.82 + $21.33

Total deductions = $81.39

Finally, let's calculate the net pay:

Net pay = Gross pay - Total deductions

Net pay = $358 - $81.39

Net pay = $276.61

Therefore, the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33 is $276.61. SO Option A is correct.

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Note the correct and the complete question is

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

A.) $276.61

B.) $326.25

C.) $358.00

D.) $368.91

a). The number of ways which the company can choose 4 workers from the list of employees is; 2,730 ways.

b). The number of ways the company can choose the workers if 2 labourers and 3 joiners are on holiday is; 700 ways.

It follows from the task content that the number of ways the company can choose 4 workers in each scenario be determined.

a). Since there are 3 labourers, 13 joiners, 10 electricians, and 7 plumbers.

The number of possible ways to choose 4 workers is; ³C₁ × ¹³C₁ × ¹⁰C₁ × ⁷C₁

= 3 × 13 × 10 × 7

= 2,730 ways.

b). Also, when 2 labourers and 3 joiners are absent, it follows that the selection space is now; 1 labourer, 10 joiners, 10 electricians and 7 plumbers.

The number of possible ways is therefore; ¹C₁ × ¹⁰C₁ × ¹⁰C₁ × ⁷C₁

= 1 × 10 × 10 × 7

= 700 ways.

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To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

Let's assume that the researcher has collected the following data:

Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.

Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.

Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.

The formula for the t-statistic is:

t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the numbers, we get:

t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08

The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.

Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.

Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

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The p-value for the test is 0.3733.

This means that the probability of obtaining this z-score or higher given the mean and standard deviation is 37.33%.

To calculate the p-value, we use the z-score to find the area under the normal curve corresponding to this value. This area corresponds to the probability of obtaining a value of the test statistic equal to or more extreme than the one we have.

In this case, the z-score is -0.89, which means that the probability of obtaining this or a more extreme value is 0.3733. This is the p-value for the test.

To conclude, the p-value is the probability of observing the test statistic or any more extreme values, given the mean and standard deviation of the population.

In this case, the p-value is 0.3733, which means that the probability of obtaining this z-score or higher given the mean and standard deviation is 37.33%.

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(a) 5.0000 × 2 = 10.000, which should be rounded to 10 (one significant figure).

(b) 5.0000 × 2.0 = 10.000, which should be rounded to 10 (two significant figures).

(c) 2.5 × 10^(-2) = 0.025, which has two significant figures.

(d) 2.5 × 10^(-2) - 2.500 = -0.000, which should be rounded to 0 (one significant figure).

(e) 5.0000 ÷ 2 = 2.5000, which should be rounded to 2.5 (three significant figures).

(f) 2.5 × 10^(-2) - π = -0.0314159265, which should be rounded to -0.031 (three significant figures).

In each case, the final answer is rounded to the correct number of significant figures based on the least precise number in the calculation. The significant figures represent the meaningful and reliable digits in a number, and they indicate the precision of the measurement or calculation. When performing arithmetic operations, it is important to consider the significant figures and round the result accordingly to maintain accuracy and avoid misleading values.

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Yes, there is sufficient evidence at the 0.05 level to support the company's claim that less than 34% of computer chips fail in the first 1000 hours of their use.

To determine if there is sufficient evidence to support the claim, we can perform a hypothesis test. Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The proportion of chips that fail in the first 1000 hours is equal to or greater than 34%.

Alternative hypothesis (Ha): The proportion of chips that fail in the first 1000 hours is less than 34%.

We can use the sample data to calculate the test statistic and compare it to the critical value at the 0.05 significance level.

Given that the sample of 1200 computer chips revealed that 31% of the chips failed, we can calculate the test statistic using the formula for the z-score:

z = (p - P) / √(P(1-P) / n)

Where p is the sample proportion, P is the hypothesized proportion, and n is the sample size.

In this case, p = 0.31, P = 0.34, and n = 1200. Plugging in these values, we can calculate the test statistic.

After calculating the test statistic, we compare it to the critical value from the standard normal distribution. At the 0.05 significance level, the critical value for a one-tailed test is approximately -1.645.

If the test statistic falls below the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to support the company's claim. Otherwise, if the test statistic is greater than the critical value, we fail to reject the null hypothesis.

Performing the calculations, we find that the test statistic is approximately -5.76, which is much lower than the critical value of -1.645. Therefore, we reject the null hypothesis and conclude that there is sufficient evidence to support the company's claim that less than 34% of computer chips fail in the first 1000 hours of their use.

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Answer:

-13, -9, 2, 12, 25

The four common denominators are 6,12, 18 and 24.

A fraction is a non-integer. It is made up of numerators and denominators. An example of a fraction is 2/3. 2 is the numerator and 3 is the denominator.

The common denominators for the fractions are numbers that would divide both 2 and 3. This numbers can be determined by multiplying 2 and 3 and finding the multiple of the product.

2 x 3 = 6

Multiples of 6 = 6, 12, 18, 24

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The answers are listed from left to right of the attachment.

1/5, 40%, 4/5, 80%

The likelihood of finding that the sample mean is between 59,050 and 60,950 miles can be determined by calculating the probability using the normal distribution with a sample size of 90, a population mean of 60,000 miles, and a population standard deviation of 4,000 miles.

To find out the probability of getting a sample mean between 59,050 and 60,950, a simulator is used to determine the tread life of tires mounted on light-duty trucks that follows a normal probability distribution.

Here, the population mean is 60,000 miles and the standard deviation is 4,000 miles. The given sample size is 90.

We can use the formula for standardizing the score. The standardized score for the lower limit of 59,050 is -2.78, and that of the upper limit of 60,950 is 2.78. Now, we need to find the probability of getting the mean value between -2.78 and 2.78.

We can use the standard normal distribution table to find the value, which is 0.9950 for z = 2.78 and 0.0050 for z = -2.78. Hence, the required probability is 0.9900.

Therefore, the likelihood of finding that the sample mean is between 59,050 and 60,950, for a sample size of 90 tires, is 0.9900.

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Answer:

do you want the answer to be in fractions or decimals?

Step-by-step explanation: