61% of 407 estimates using a rate per 100

In relation to the angle L of the right triangle the sides are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.

The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.

Let's identify the sides  j,  k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.

Therefore,

The hypotenuse side is the longest side of a right triangle.

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Answer:

Step-by-step explanation:

AB is diameter.

Angle made by diameter on circumference is always 90°

\(x + 90 + 53 = 180\)

Calculate the sum

\(x + 143 = 180\)

Move constant to R.H.S and change its sign

\(x = 180 - 143\)

Calculate the difference

\(x = 37\)

Hope this helps..

Best regards!!

Answer:

no

Step-by-step explanation:

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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Answer:

x≥√πax≥πa or x ≤−√πa

Step-by-step explanation:

9514 1404 393

Answer:

  $456,662

Step-by-step explanation:

The amount paid to Social Security is a maximum of ...

  6.2% × $106,800 = 6,621.60

If we want an equal amount paid to Medicare, we want ...

  1.45% × earnings = $6,621.60

  earnings = $6,621.60/0.0145 ≈ $456,662

Someone would have to earn $456,662 so that their Social Security and Medicare payments were equal.

Answer:

I think it's (6,6)

Step-by-step explanation:

Because 6 = 12 - 6

Answer:

6,6

Step-by-step explanation:

I'm pretty sure this is the answer because it is what I got...

Hope this helps

Answer: Es poco 5°2#

Step-by-step explanation:

The number of horse is 1, goat is 2 and sheep is 3 a man has.

The problem we are dealing with is related to the linear equation which is referred to as the algebraic condition where each term has an exponent of 1 and when this condition is graphed, it continuously comes about in a straight line.

Now w consider x to be the number of sheep, y to be the  number of  goats, and z to be the number of horses the man owns.

the actual equation for the total number of animals he owns  is :

x+ y+ z

according to the first condition:

that all sheep bar three, means

y+ z=3

similarly, for the other condition, it will be

x+ z=4   and x+ y=5

Now we adding the three  equations:

y + z +x +z +x +y=5+4 +3

2(x+y+z)=12

x+y+z=6........equation(1)

As x + y = 5

Put this in equation in (1), we get

x+y+z = 6

5 + z = 6

z = 1

x + z = 4

x + y + z = 6

y + 4 = 6

y = 2

Now we know

x + y + z = 6

x + 1 + 1 = 6

x = 4

So simplifying the other equation  we get, that the number of horse is 1, goat is 2, and sheep is 4.

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Answer:

200

Step-by-step explanation:

Check the picture below.

Answer:

4.5 L

Step-by-step explanation:

4500/1000 =4.5

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Answer:

First, remember that a circle of radius R centered in the point (a, b) can be written as:

(x - a)^2 + (y - b)^2  = R^2

Suppose that we can model the yard as a rectangular coordinate axis.

And the tree is planted in the point (a, b)

If we want to have 15 feet in all directions around the base of the tree (15 ft around the point (a, b))

The section that must remain unplanted is:

(x - a)^2 + (y - b)^2   ≤ R^2

Where the ≤ symbol is used because all the interior of the circle must remain unplanted (border included)

The equation that best describes the situation is \((x -a)^2 + (y - b)^2 \le 225\)

15 feet in all direction around the base of the tree means that, the radius across the circumference is 15.

So, we have:

\(r = 15\)

The situation can then be modeled by the following equation of circle

\((x -a)^2 + (y - b)^2 = r^2\)

From the question, we understand that the section remains open and unplanted.

So, the above equation becomes

\((x -a)^2 + (y - b)^2 \le r^2\)

Substitute 15 for r

\((x -a)^2 + (y - b)^2 \le 15^2\)

Evaluate the exponent

\((x -a)^2 + (y - b)^2 \le 225\)

Hence, the equation that best describes the situation is \((x -a)^2 + (y - b)^2 \le 225\)

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The probability of picking a white marble is 3/10

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

four green marbles, six white marbles, and ten red marbles

This means that

Total = 4 + 6 + 10

Evaluate the sum

Total = 20

The probability of picking a white marble is

P = White/Total

substitute the known values in the above equation, so, we have the following representation

P = 6/20

Evaluate

P = 3/10

Hence, the probability of picking a white marble is 3/10

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Answer:

24 or 6

Step-by-step explanation:

I got 24 by just taking 30 and subtracting 20% and the 6 by findingout what 20% of 30 was but my best answer is 24

The temperature difference between the optimum temperatures of bacteria X and Y is 25°C.

To find the temperature difference between the optimum temperatures of bacteria X and Y, we subtract the temperature of bacteria Y from the temperature of bacteria X.

Temperature difference = Optimum temperature of bacteria X - Optimum temperature of bacteria Y

Temperature difference = -31°C - (-56°C)

When we subtract a negative number, it is equivalent to adding its positive value. Therefore, -(-56°C) is the same as +56°C.

Temperature difference = -31°C + 56°C

To add these temperatures, we need to consider the sign of the result. In this case, we have a negative temperature (-31°C) and a positive temperature (+56°C). When adding numbers with different signs, we subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.

Absolute value of -31°C = 31°C

Absolute value of +56°C = 56°C

Since 56°C > 31°C, the result will have a positive sign.

Temperature difference = 56°C - 31°C = 25°C

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The correct options are sample more families, sample families having children who are not in seventh grade.

Sample families that do not have children. Sample families living in every third house in neighborhood.

To increase the validity of the results of Kai's survey, he could make the following improvements to his sample:

Sample more families: Increasing the sample size would make the results more representative of the neighborhood as a whole, reducing the impact of random variation and making the estimates more precise.

Sample families that have children who are not in seventh grade: This would make the sample more diverse and representative of families with children of different ages.

Sample families that do not have children: Including families without children would make the sample more diverse and representative of the entire neighborhood.

Sample families living in every third house in the neighborhood: This would help to ensure that the sample is geographically representative of the neighborhood, reducing the chance of

sampling bias.

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Answer:

Step-by-step explanation:

Answer:

the expression (x-10)(x-3) in standard form is x^2 - 13x + 30.

Step-by-step explanation:

so,

h(x) = f(x) × g(x)

h'(x) = f'(x) × g(x) + f(x)×g'(x)

with f(x) = -2x + 6

f'(x) = -2

so,

h'(-2) = -2 × g(-2) + (-2×-2 + 6) × g'(x) =

= -2 × -4 + 2 × 5 = 8 + 10 = 18

Answer:

The cost per ounce of the small cup is $0.269

Step-by-step explanation:

To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.

Cost per ounce = Cost of the cup ÷ Number of ounces in the cup

Cost of the cup = $2.69

Number of ounces in the cup = 10 oz

So,

Cost per ounce = $2.69 ÷ 10 oz

Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)

Therefore, the cost per ounce of the small cup is $0.269.

The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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Answer:

y = -2x + 16.

Step-by-step explanation:

We are given the slope and a point on the line, so

we use the point-slope form of a straight line:

y - y1 = m(x - x1)

Here gradient m = -2, x1 = 4 and y1 = 8 , so we have:

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16.

Answer:

  c = -41/16

Step-by-step explanation:

You want to solve the 2-step linear equation -7/3=2/3c-5/8.

The two steps for such an equation are ...

Step 1 - add the opposite of the constant on the side with the variable term.

  -7/3 +5/8 = 2/3c -5/8 +5/8

  -41/24 = 2/3c . . . . . . . . . . . . . simplify

Step 2 - multiply by the inverse of the coefficient of the variable.

  (-41/24)(3/2) = (2/3c)(3/2)

  -41/16 = c

Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).

  (-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24

  -56 = 16c -15 . . . . . . . simplify; fractions are gone

  -41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant

  -41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable

Mean of the sampling distribution of sample means is 5.9 years.

A normal distribution in statistics is defined as the type of continuous probability distribution where the data are arranged in a symmetrical bell shaped graph.

Population mean, μ = 5.9 years

Population standard deviation, σ = 0.8 years

If the sample size is at least 30, we can use the normal approximation of sampling distribution of sample means.

Here, sample size for the sampling distribution, n = 68 > 30.

For a sample which is drawn from a normally distributed population, mean of the sampling distribution of sample means is equal to the population mean and standard deviation = σ / √n.

Mean of the sampling distribution of sample means = μ = 5.9 years.

Hence mean is same as the population mean.

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Answer:

18 liters of 41% alcohol and 12 liters of 11% alcohol.

Step-by-step explanation:

.41x + .11(30-x) = .29(30)  I am going the clear the decimal by multiply all the way through by 100

41x + 11(30 -x ) = 29(30)

41x + 330 -11x = 875  Combine like terms

30x +330 = 875  Subtract 330 from both sides

30x = 540  Dived both sides by 30

x = 18

30 - 18 = 12

Amount        Percent         Total

x                    .41                  .41x

30 - x            .11                  .11(30 - x)

30                  .29                .29(30)

Look at the total column

.41x + .11(30-x) = .29(30)

Using the concepts of parameter and statistic, it is found that the correct option is:

In this problem, both percentages are taken from samples, hence both the 2% and the 5% represents statistics, and the first option is correct.

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Answer:

The question is not complete

The solution to the quadratic equation 2x² - 7x - 4x is x = 0 and x = 11/2.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, y = 2x² - 7x - 4x.

y = 2x² - 11x.

y = x(2x - 11).

Or,

x(2x - 11) = 0.

x = 0 Or 2x - 11 = 0 ⇒ 2x = 11 ⇒ x = 11/2.

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Answer:

10

Step-by-step explanation:

3+2 = 5

5x2 (Because only half cups)

= 10