. The sides of a rectangle are (x+1) and (2x +5). If the perimeter is 36m, Find the value of x


​

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

19.0285

Step-by-step explanation:

For this, we have to work backwards.

First, the equation for the circumference of a circle is:
\(2\pi r\)

We already know the circumference, so we can solve for r:
\(119.56=2\pi r\)

divide both sides by 2

\(59.78=\pi r\)

divide both sides by pi

\(19.0285...=r\)

So, depending on the answer choices, the answer is 19.0285 rounded to the according decimal place.

Hope this helps! :)

Answer:

5.4 = 7.56

1.5 = 2.1

Step-by-step explanation:

Just find the answer for 40% of the given meters.

Answer:

2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

1 + 1 is 2

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

Answer:

0.1459, 0.2503

Step-by-step explanation:

Probability of getting exactly 4 A out of 10,  

P(X==4) = 10C4 (1/4)^4 (3/4)^6

=0.1459

Probability of getting exactly 3 C out of 10,  

P(X==3) = 10C3 (1/4)^3 (3/4)^9

=0.2503

[BRACU PEACE ]

Answer:

each dvd costs $9.5

Step-by-step explanation:

first 52.5-14.5=38

then 38 divided by 4

and you answer

Answer:

The t-test statistic is \(t = -0.697\)

Step-by-step explanation:

The test statistic is:

\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the expected mean, \(\sigma\) is the standard deviation and n is the size of the sample.

The sample standard deviation is 7.309.

This means that \(\sigma = 7.309\)

Adam reads that the average speed that cars drive on the highway is 65 mph.

This means that \(\mu = 65\)

60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph.

8 values, so \(n = 8\)

The sample mean is:

\(X = \frac{60.5 + 63.2 + 54.7 + 51.6 + 72.3 + 70.7 + 67.2 + 65.4}{8} = 63.2\)

Test statistic:

\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(t = \frac{63.2 - 65}{\frac{7.309}{\sqrt{8}}}\)

\(t = -0.697\)

The t-test statistic is \(t = -0.697\)

Let's find the implicit derivative:

Therefore:

Since the derivative of y is equal to the cosine and the cosine is a continous function for all the real numbers then the derivative of y is defined for all values of y.

Answer: 108

Step-by-step explanation: Let the total number of sweets be x

Therefore, Anna  - (x/3)+8

After Anna, remaining amount is x - ((x/3)+8) = 2x/3 + 8

Betty took (2x/3 + 8)/2 + 18 = x/3 + 22

Remaining = x - ((x/3)+8) - (x/3 + 22) = x/3 -30

Candy took the rest which is 6 i.e.

x/3 - 30 = 6

x/3 = 36

x = 108

-c² z +cz + c

when c= -1

substitute c = -1 in the expression given

-(-1)²z + (-1)z + (-1)

-z -z -1

= - 2z - 1

=-(2z+ 1)

Answer: 4

Step-by-step explanation:

16 - 12

Answer:

 = 4

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

yicgjcgcughcgcuugugigcgucgic

Answer:

i can even see the picture

Step-by-step explanation:

Answer: 34

Step-by-step explanation: 13 + 13 + 5 = 34

Answer:

9 quarts of liquid

Step-by-step explanation:

5 qt + 4 qt = 9 qt

Answer:

The volume of the sphere is increasing at a rate of 56,549 cubic millimeters per second.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by:

\(V = \frac{4\pi r^3}{3}\)

In which r is the radius.

Solving this question:

The first step do solve this question is derivating V implictly in function of t. So

\(\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}\)

The radius of a sphere is increasing at a rate of 5 mm/s.

This means that \(\frac{dr}{dt} = 5\)

Diameter is 60 mm

This means that \(r = \frac{60}{2} = 30\)

How fast is the volume increasing (in mm3/s) when the diameter is 60 mm?

This is \(\frac{dV}{dt}\). So

\(\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}\)

\(\frac{dV}{dt} = 4\pi*30^2*5 = 900*20\pi = 56549\)

The volume of the sphere is increasing at a rate of 56,549 cubic millimeters per second.

Answer:

a ≤ 2

Step-by-step explanation:

Simplify both sides of the inequality

42a + 48 ≤ 132

Subtract 48 from both sides

42a + 48 − 48 ≤ 132 − 48

42a ≤ 84

Divide both sides by 42

42a/42 ≤ 84/42

a ≤ 2

Answer:

d. 1 < d < 2

e. t ≥ 5

f. -z ≤ 4

Step-by-step explanation:

Answer:

d. 5. 1 ≤ d ≤ 2

e. 4. t ≥ 5

f. 1. -z < 4

Step-by-step explanation:

d. d is between 2 and 1

The statement "d is between 2 and 1" means that d is greater than 1 and less than 2. We can represent this using the inequality 1 < d < 2. However, the answer choices do not match this exact form of inequality. To rephrase the inequality in a way that matches the answer choices, we can use the logical "and" operator to combine two inequalities: d is greater than or equal to 1, and d is less than or equal to 2. This gives us the inequality 1 ≤ d ≤ 2, which is answer choice 5.

e. t is not less than 5

The statement "t is not less than 5" means that t is greater than or equal to 5. This can be represented using the inequality t ≥ 5, which is answer choice 4.

f. The negative of z is not greater than 4

The statement "the negative of z is not greater than 4" means that -z is less than or equal to 4. We can represent this using the inequality -z ≤ 4, which is answer choice 2. However, the question does not include an answer choice for -z < 4, which is also true based on the statement.

Answer:

4

Step-by-step explanation:

pattern alternates between positive and negative values

also, each successive number is the square of the quotient of the value and the next value by 2

example, the square root of 1024 is 32

now take half of 32 to get 16, and then square it to get 256

the square root of 256 is 16

now take half of 16 to get 8, and then square it to get 64

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

Answer:

Yes

Step-by-step explanation:

4.05 can be written as 4.050 in 3-place decimal or 3 digits.

Compare:

4.05 = 4.050

4.050 < 4.055

Since 5 > 0 for last digit, the Inequality is true.

Answer:

yes,this would be correct

Step-by-step explanation: 4.05 will have a zero behind it 4.050 and 4.55 will also have a zero behind it 4.550 is 550 bigger the 050?

Answer:

a 1760.

b 32.1

c 8.5 × 10^8

d 5.09×10^-5

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

We cannot conclude that there are more than 70,000 defined words in the dictionary.

To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.

Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.

So, sample mean

= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10

= 510 / 10

= 51.0

and, the sample standard deviation (s)

= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]

≈ 16.23

Next, we calculate the test statistic using the formula:

test statistic = (x - μ) / (s / √n)

In this case, μ = 48.0, s ≈ 16.23, and n = 10.

test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34

With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.

Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.

Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.

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Answer:

1 \(3/8\)

Step-by-step explanation:

Answer:

First look at the number of bricks alone.

Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50

Next look at the time alone.

Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20

Now you can just multiply everything.

= 5*60/50*30/20

= 5*6/5*3/2

= 90\10

= 9.