In a safari park, the ratio of flamingos to monkeys was 6: 7.
4 monkeys were then born, and the ratio of flamingos to monkeys became 2: 3.
Work out how many flamingos and how many monkeys are in the safari park now.

Answer:

1/2 × |AB| × |OE|

Step-by-step explanation:

use the formula for finding the area of a triangle.

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

Answer: The answer is D

Step-by-step explanation:

You are supposed to divide both sides of the equation by -3.

Answer: for d the answer is yes

Step-by-step explanation:

a line is in the form of y=mx+c or y=mx+b, as p(x)=3x+5 then the equation passes by being compatible with the general equation of a line

Step-by-step explanation:

1d.

yes.

f(x) = 2x + 3

g(x) = x + 2

p(x) = f(x) + g(x) = (2x + 3) + (x + 2) = 3x + 5

p(x) is still a linear function (highest exponent of x is 1). therefore it is a line.

Answer:

B. 393,660

Step-by-step explanation:

lemme get Brainliest please

Answer:

B. 393,660

Step-by-step explanation:

I plugged it into the symbolab calculator and attached the steps below! Hope this helps!

Answer:

We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides. to see whether you are correct.

Answer:

1:23 2:346 3:837

Step-by-step explanation:

it's the right answer

The table shows the estimated digit and significant figures of each measurement and their representation with x.

Number of Measurement Estimated Digit Significant Figures

14.8 m 3 ✓

$10.25 - ✓

0.05 L - ✓

1.000 g/mL - ✓

1.200 - ✓

6200 cm - ✓

403 kg - ✓

For each measurement, the estimated digit is replaced with an x to represent the number with the correct number of significant figures. The correct representations for each measurement are:

Note that in some cases, the representation requires adding zeros to the right of the decimal point to indicate the number of significant figures. In other cases, the representation requires rounding up or down to the correct number of significant figures.

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Answer:

A) 555

Step-by-step explanation:

555/3 = 185

Check and make sure; 185 x 3 = 555

Hope this helps!

-Jerc

Answer:

A)555 becuse 555/3=185

Answer:

x=15

Step-by-step explanation:

Answer:

y=2x+3 is perpendicular. Just take away the negative

Step-by-step explanation:

Answer:

y= 2x-3

Step-by-step explanation:

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Answer:

A and B

Step-by-step explanation:

The lines are both in slope intercept form:

y=Mx+b

Where m is the slope and b is the y intercept.

We have 2 lines:

y=1/3x+3

y=1/3x-2

1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.

Therefore, A: the same slopes and B: parallel lines is correct.

In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2

Answer:

  (3/2, 9/2)

Step-by-step explanation:

You want the midpoint of the line segment with end points R(4, 3) and S(-1, 6).

The coordinates of the midpoint will be the average of the end point coordinates:

  M = (R +S)/2

  M = ((4, 3) +(-1, 6))/2 = (4 -1, 3 +6)/2 = (3, 9)/2

  M = (3/2, 9/2) . . . . coordinates of the midpoint

The solution set of Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 is x ≤ 21

Inequalities are expressions that have <, >, ≤ or ≥. Therefore,

let the number = x

Five times the sum of a number and 27 is as follows:

5(x + 27)

Six times the sum of that number and 26 is as follows:

6(x + 26)

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 is as follows:

5(x + 27) ≥ 6(x + 26)

Therefore,

5(x + 27) ≥ 6(x + 26)

5x + 135 ≥ 6x + 156

-x ≥ 21

x ≤ 21

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Answer:

ITS B

Step-by-step explanation:

took the test

Answer:

A, C

Step-by-step explanation:

Only B is containing a variable .

The  -5 is not variable.

We have given that,

A.3x2

B. y

A

C. -5

In the expression 3x^2 + y -5

We have to determine which of the following terms does not have a variable.

variable, In algebra, a symbol stands in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Only C contains a variable.

The  -5 is not variable.

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The triangle is obtuse, since the square of the longest side is greater than the sum of the squares of the other two sides.

The sum of the areas of the squares formed on the legs of the triangle equals the area of the square formed on the hypotenuse:

a²+b²=c²

a, b and c are side lengths

a=12,b=37 and c=40

12²+37²=40²

144+1369=1600

1513 is not equal to 1600

Since 1513 < 1600, we know that:

This means that the triangle is obtuse, since the square of the longest side is greater than the sum of the squares of the other two sides.

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A political scientist surveyed 28 of the current 101 representatives in a state's congress.

The size of the sample is 28.

Sample size :

A sample is a small part of a population chosen for statistical research.

The sample size refers to the number of individuals in a sample, as the name suggests.

It has a significant impact on the data's accuracy and precision.

A larger sample size will reduce the sampling error, allowing the findings to be more accurate.

A political scientist has surveyed 28 of the current 101 representatives in a state's congress.

So, the size of the sample is 28.

The size of the sample is the number of participants in a study who are selected from the population.

To assess results, researchers use data from a sample of a population.

Sample size determines the accuracy of survey findings.

Larger samples lead to more reliable results because they represent the population more effectively.

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Answer:200

Step-by-step explanation: length plus hight

mko

Neither.

Parallel lines (when the line continues), never intersects. Perpendicular lines intersect and create a 90 degree angle.

The angle created by the lines intersect but do not create a 90 degree angle.

Answer: She read 242 pages last week.

Step-by-step explanation:

Total pages = 360

Let the number of pages she read last week = x

( Pages read last week) + (Pages read today) = \(\dfrac45\) (Total pages)

i.e. \(x+46=\dfrac45(360)\)

\(\Rightarrow x+46=288\\\\ \Rightarrow x= 288-46\\\\ \Rightarrow x=242\)

Hence, she read 242 pages last week.

Answer: 66.5

Step-by-step explanation:

I'm sorry. I don't really know how to show my work with typing on this but this is pretty easy. It says your in high school so you should definetely be able to figure this out.

Answer:

215.00-148.50= 66.50

Step-by-step explanation:

The y-intercept is (0, 4).

An alternate method to find the x-intercepts is to factor the quadratic equation.

The vertex is (-2, 0).

The graph of the equation is illustrated below.

One of the most common types of equations is a quadratic equation, which is an equation of the form ax² + bx + c = 0. In this case, we have the equation x² + 4x + 4 = 0, and we need to find the x-intercepts.

To find the x-intercepts, we can use the quadratic formula, which is given by:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 4, and c = 4, so we can substitute these values into the formula:

x = (-4 ± √(4² - 4(1)(4))) / 2(1) x = (-4 ± √(0)) / 2 x = -2

Therefore, the x-intercept is -2. We can check this by plugging in x = -2 into the equation and verifying that it equals zero:

(-2)² + 4(-2) + 4 = 0

In this case, we can see that the equation can be factored as:

(x + 2)² = 0

Taking the square root of both sides, we get:

x + 2 = 0

x = -2

This gives us the same x-intercept as before.

To find the vertex of the parabola represented by the equation, we can use the formula:

x = -b / 2a

and then substitute this value of x into the equation to find the y-coordinate of the vertex. In this case, we have:

x = -4 / 2(1) x = -2

Substituting x = -2 into the equation, we get:

(-2)² + 4(-2) + 4 = 0

Since the coefficient of x² is positive (i.e., a = 1 > 0), the parabola opens upwards and the vertex is a minimum.

To graph the parabola, we can plot the vertex at (-2, 0) and use the x-intercept we found earlier at (-2, 0). Since the equation is symmetric about the vertical line through the vertex, we know that there is another point on the graph that is the same distance from the vertex but on the other side of the line. Therefore, we can plot the point (-3, 0) as well. We can also find the y-intercept by setting x = 0 in the equation:

0² + 4(0) + 4 = 4

Using this information, we can sketch the parabola by connecting the points (-3, 0), (-2, 0), and (0, 4), and noting that the parabola is symmetric about the line x = -2.

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The Normal distribution is symmetric and ranges from negative to positive infinity, while the Log-normal distribution is skewed and only takes positive values. To select the better fit for data, consider characteristics (positivity and skewness favor Log-normal, symmetry favors Normal), hypothesis testing, visualization, and statistical tests.

Let's analyze each section separately:
a) The major differences between the Normal and Log-normal distributions are:

Normal Distribution: The Normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution that is defined by its mean (μ) and standard deviation (σ). It follows a bell-shaped curve and is often used to model naturally occurring phenomena. The range of values extends from negative infinity to positive infinity.

Log-normal Distribution: The Log-normal distribution is a skewed probability distribution that arises when the logarithm of a random variable follows a normal distribution. It is characterized by its parameters mu (μ) and sigma (σ) of the underlying normal distribution. Unlike the Normal distribution, the Log-normal distribution only takes positive values.

b) Selecting which distribution fits the data better depends on the nature of the data and the research question at hand. Here are a few considerations:

1. Data Characteristics: If the data consists of positive values and the distribution appears to be skewed, the Log-normal distribution might be more appropriate. On the other hand, if the data is symmetric and unbounded, the Normal distribution may be a better fit.

2. Hypothesis Testing: If you have a specific hypothesis to test or a theoretical justification for choosing one distribution over the other, it is advisable to use that distribution.

3. Visualization: Plotting the data and comparing it to the shapes of the Normal and Log-normal distributions can provide visual insights into which distribution aligns better with the data.

4. Statistical Tests: Statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test can be used to assess the goodness-of-fit for each distribution and determine which one provides a better fit to the data.

In summary, selecting the appropriate distribution involves considering the characteristics of the data, the research question, and statistical tests. Visualization and hypothesis testing can further aid in determining the best fit distribution.

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Answer:

2

Step-by-step explanation:

5 - 3 = 2

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

Answer:

(5h - 4t)(5h + 4t)

Step-by-step explanation:

25 h² - 16t² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Then

25h² - 16t²

= (5h)² - (4t)²

= (5h - 4t)(5h + 4t) ← in factored form

Step-by-step explanation:

Alright so, we need need to lay down the clues we were given

●Ratio of the seats= 2:5

● No.of seats in the circle

●Fraction of seats occupied for the stalls

Now, let us take a closer look at the ratio;

C: S Total

2:5 7

As we can see, the number of parts for the circle is 2 parts.

So ,

2 parts = 528 seats

1 part= 528/2= 264 seats

5 parts= 1 320 seats

7 parts= 264 × 7 = 1 848

Finally,

We can now find the seats occupied by the stalls,

2/3 × 1 320

= 880 seats

Seats of circle + Seats of stall

= 528 + 880= 1408

Percentage Occupancy

=

1408/1 848 × 100

Note: The answer will come in decimal numbers.

It will be,

76.1904761905

or

76.19%

ANSWER

Answer:

359.1

Step-by-step explanation:

100 - 20.2 is 79.8

79.8 x 4.5 is 359.1

therefore it is 359.1

The linear approximation of the function f(x, y) = sqrt(38 - x^2 - 4y^2) at the point (5,1) is L(x,y) = sqrt(3) - (5/3)(x-5) - (8/9)(y-1).

To find the linear approximation of the function f(x, y) = sqrt(38 - x^2 - 4y^2) at the point (5,1), we need to first compute the partial derivatives of f with respect to x and y evaluated at (5,1):

fx(x, y) = -x/sqrt(38 - x^2 - 4y^2)

fy(x, y) = -8y/sqrt(38 - x^2 - 4y^2)

Then, we can plug in the values x = 5 and y = 1 to get:

fx(5, 1) = -5/sqrt(9) = -5/3

fy(5, 1) = -8/3sqrt(9) = -8/9

The linear approximation of f at (5,1) is given by:

L(x,y) = f(5,1) + fx(5,1)(x-5) + fy(5,1)(y-1)

Substituting the values we just computed, we get:

L(x,y) = sqrt(38 - 5^2 - 4(1)^2) - (5/3)(x-5) - (8/9)(y-1)

= sqrt(3) - (5/3)(x-5) - (8/9)(y-1)

Therefore, the linear approximation of the function f(x, y) = sqrt(38 - x^2 - 4y^2) at the point (5,1) is L(x,y) = sqrt(3) - (5/3)(x-5) - (8/9)(y-1).

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Answer:

Hello there! I think the answer to your question

C

Because a "A positive voltage is a  voltage that pushes electrons out of a battery."

The measures of position among the options provided are the quartiles, deciles, and median.

The standard deviation is not a measure of position but rather a measure of dispersion.

Measures of position are statistical indicators that provide information about the relative location or position of data points within a dataset. Among the options provided, the measures of position are:

a. The quartiles:

Quartiles divide a dataset into four equal parts.

The first quartile (Q1) represents the 25th percentile, the second quartile (Q2) corresponds to the median or 50th percentile, and the third quartile (Q3) represents the 75th percentile.

They help understand the spread and distribution of the data.

b. The deciles:

Deciles divide a dataset into ten equal parts.

Each decile represents a specific percentile, such as the first decile (D1) representing the 10th percentile, the second decile (D2) representing the 20th percentile, and so on.

Deciles provide more granularity in analyzing the position of data points within the dataset.

c. The median:

The median is the middle value of a dataset when arranged in ascending or descending order.

It divides the dataset into two equal halves, with 50% of the data falling below the median and 50% above.

The median provides a measure of central tendency and position within the dataset.

d. The standard deviation:

The standard deviation is not a measure of position.

It quantifies the dispersion or variability of data points from the mean.

It provides information about the spread of the data but does not indicate the specific position of data points within the dataset.

In summary, the measures of position among the options provided are the quartiles, deciles, and median.

The standard deviation is not a measure of position but rather a measure of dispersion.

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