There are 99 males and 121 females participating in a marathon what percent of the participants are females

Answer: 1182

Step-by-step explanation:

0.385

Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:

4.5 / 12 = 0.385

Each orange weighs 0.385 pounds.

Answer:

9.4

Step-by-step explanation:

a2+b2=c2

8^2 + 5^2 = c2

64 + 25 = 89

square root of 89 = 9.4

The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).

The orthocenter of triangle AFGH can be found by the intersection of the altitudes from vertices A, B, and C. The equations of the altitudes from vertices F and H can be found by finding the slopes of the lines and plugging in the x and y coordinates of the vertices.

The equation of the altitude from vertex G can then be found by finding the slope perpendicular to the first two lines and plugging in the x and y coordinates of vertex G. The point of intersection of these three lines is the orthocenter of triangle AFGH.

The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).

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Answer:

To be done in time, he would need to solve 6 questions per day on the days that he is not on trip

Step-by-step explanation:

If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days

Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions

Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work

This makes a total of 1 question per day

Adding this to the 5 questions per day he has before will be = 6 questions per day

Answer:

6 problems

Step-by-step explanation:

Answer:

what equation can you give more through instructions please

Answer:

9.3 ft

Step-by-step explanation:

Answer:

3.162

Step-by-step explanation:

on a calculator type in sqrt of 10 and round it to three decimal places

Answer:

a) The sinusoidal equation is;

The function is h = -24·cos[π(t )] + 24

The sketch of one full revolution is attached

b) The height of the nail at 0.8 seconds is 43.42 cm

Step-by-step explanation:

The sinusoidal equation that models the nails height can be given as follows;

y = A·cos[B(x - C)]+D

A = The amplitude = Half maximum height =  48/2 = 24 cm

The period = 2·π/B = Time to complete one oscillation = 2 seconds

∴ B = 2·π/2 = π

x = t  = Time

C = The horizontal shift

D = the vertical shift = 24 cm

y = The height of the nail = h

We have;

h = -24·cos[π(t - C)] + 24

At t = 0, h = 0, therefore, we have;

0 = -24·cos[π(0 - C)] + 24

24·cos[π(0 - C)] = 24

∴ cos[π(0 - C)] = 24/24 = 1

π(0 - C) = 0

C = 0

The function is h = -24·cos[π(t )] + 24

b) The height of the nail at 0.8 seconds is given as follows;

h = -24×cos[π(0.8)] + 24 =

h = 19.42 + 24 = 43.42 cm.

Answer:

3/4

hope this helped :)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The average rate of change is just like how you would find the slope so that's what I'm going to do.

\(m=\frac{6-0}{-2--5}\)

I will use this equation to find it...

\(m=\frac{6-0}{-2--5}=\frac{6}{3} =2\)

So the rate of change is 2.

3/5 of Aiden's money equals $15.

$15 divided by 3 = $5.

If we multiply 5 by 5 we get $25.

Aiden had $25 before he put the money into his bank.

Answer:

25$

Step-by-step explanation:

2/5 into his piggy, so 3/5 into his pockets (Wich we know is 15$)

3/5=15$

15/3=5

5x5=25$

The 10th percentile of the normal distribution with mean 43 and standard deviation 8 is approximately 32.16.

To find the 10th percentile of a normal distribution with mean mu and standard deviation sigma, we can use the inverse cumulative distribution function (CDF) of the standard normal distribution.

The 10th percentile is the value below which 10% of the observations fall. Therefore, we need to find the z-score such that the area under the standard normal curve to the left of z is 0.1.

Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to the 10th percentile is approximately -1.28.

Then, we can use the formula for transforming a standard normal distribution to a normal distribution with mean mu and standard deviation sigma:

z = (X - mu) / sigma

Rearranging the formula, we get:

X = mu + z * sigma

Substituting mu = 43, sigma = 8, and z = -1.28, we get:

X = 43 + (-1.28) * 8 = 32.16

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When two angles in a plane share a vertex and a side but no common interior points, they are called adjacent angles

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer:

-13 + 25 = 12

Step-by-step explanation:

You get 12 because 13 is a negative so subtract 25 from 13 and that turns 13 into 0 so 0 + 12 = 12

Sorry if my explanation didn't make sense.

The sequence is convergent and the sum of the geometric series is 3/2=1.5.

The geometric series was significant in the early development of calculus, is utilized throughout mathematics, and can serve as an introduction to commonly used mathematical tools such as the Taylor series, complex Fourier series, and matrix exponential.

The name geometric series implies that each phrase is the geometric mean of its two nearby terms, in the same way that the word arithmetic series implies that each term.

Given the geometric series 1+1/3+1/9+1/27+...we must verify the value of its common ratio to determine whether the geometric series is convergent or divergent. The value of a geometric series common ratio is used to determine whether it is convergent or divergent.

If |r| <1, the series is convergent.

If |r| >1, the series is divergent.

The common ratio is r.

The common ratio r = (1/3)/1 = (1/9)/(1/3) = (1/27)/(1/9)=1/3 is derived from the given series.

Because r = 1/3, which is smaller than one, the series is convergent.

Because the geometric series tends to infinity, we will apply the formula for calculating a geometric series sum to infinity to get its sum.

The first term = 1

S = a/1-r

a is the first term = 1

r is the common ratio = 1/3

S = 1/1-(1/3)

S= 1/(2/3)

S= 3/2

S=1.5

The sum of the geometric series is 3/2=1.5

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Answer:

The sum is

The difference is

The product is

The quotient is

Answer:

y = 5x-3

Step-by-step explanation:

The general equation is:

y=mx+b.

You are give the slope (m) = 5

You are given the intercept (b) = -3.

You just need to plug and chug

The researcher is measuring the reliability of a self-report test that measures anxiety in a group of participants. This is because if the test is not reliable, then we can not rely on the answers that participants give.

To measure reliability, the researcher is using split-half reliability by computing the correlation between the scores for the first 10 questions and the scores for the last 10 questions for each participant. This type of reliability measurement is commonly used with self-report tests and helps to determine how consistent the answers to the questions on the test are. If the two halves are highly correlated, then we can be more confident that the test is reliable.

An alternative measure of reliability is test-retest reliability, which assesses the consistency of a test over time. Test-retest reliability is calculated by administering the same test to the same group of participants on two different occasions and computing the correlation between the two sets of scores. If a test is reliable, then the scores obtained on the test should be relatively consistent over time.

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Check the picture below.

we know the diameter MK is 9 units, so the radius must be half that, or 4.5.

\(\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4.5\\ \theta =218 \end{cases}\implies \begin{array}{llll} s=\cfrac{(218)\pi (4.5)}{180}\implies s=5.45\pi \\\\\\ s\approx 17.1 \end{array}\)

The slope of the line joining (0, f(0)) and (π, g(π)) is given as follows:

Undefined.

The slope of a linear function, given two points, is given as the division of the change in y by the change in x.

The numeric values for these functions are given as follows:

Hence the points are given as follows:

(0, undefined) and (π, 1).

The undefined point means that there is a vertical asymptote at x = 0, meaning that the change in y is undefined, and thus the slope of the function is also undefined.

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Answer:

10x^2-x-24

Step-by-step explanation:

Step-by-step explanation:

First, you have to expand the expression.

\((2x + 3)(5x - 8) \\ = (2x)(5x) + (2x)( - 8) + (3)(5x) + (3)( - 8) \\ = 10 {x}^{2} + ( - 16x) + 15x + ( - 24) \\ = 10 {x}^{2} - 16x + 15x - 24 \\ = 10 {x}^{2} - x - 24\)

Answer:

hi

Step-by-step explanation:

thank u

Answer:

is that allowed or not......

The required conversion of 10 miles per hour to kilometers per hour is given by 16.0934 kilometers per hour.

Conversion of miles to kilometer is :

One miles is equal to 1.60934 kilometers

Now substitute the required value we get,

10 miles = ( 10 ) × ( 1.60934 ) kilometers

⇒ 10 miles = ( 10 × 1.60934 ) kilometers

⇒ 10 miles = 16.0934 kilometers

Required conversion is :

10 miles per hour = 16.0934 kilometers per hour

Therefore, converted value of 10 miles per hour is equal to 16.0934 kilometers per hour .

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To analyze the scatterplot, use software like Excel or R. Determine if there is a positive or negative association based on the slope, and assess strength by examining how closely the points cluster around the trendline.

Unfortunately, as a text-based AI, I am unable to create visual plots or access external websites. However, I can provide you with a brief explanation of how to analyze the scatterplot based on the given information.1. To construct the scatterplot, you can use software packages such as Microsoft Excel, Apple Numbers, or statistical software like R or Python with libraries like matplotlib.

2. To determine whether the scatterplot shows a positive or negative association, examine the general trend of the data points. If the points tend to slope upwards from left to right, it indicates a positive association. Conversely, if the points slope downwards, it indicates a negative association.

3. The strength of the association can be assessed by examining how tightly the data points cluster around the trendline. If the points are closely clustered around the trendline, the association is considered strong. On the other hand, if the points are more spread out and do not adhere closely to the trendline, the association is considered weak.Therefore, To analyze the scatterplot, use software like Excel or R. Determine if there is a positive or negative association based on the slope, and assess strength by examining how closely the points cluster around the trendline.

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9514 1404 393

Answer:

  A, B, C, D, F . . . as written

Step-by-step explanation:

Any mixed number, fraction, or finite or repeating decimal is rational. The only one in your list that is irrational is E, which appears to be a non-repeating, non-terminating decimal.

__

Your B selection appears to be 11² = 121, an integer and a rational number.

If your B selection is supposed to be √11, then that number is irrational, as it is not the root of a perfect square.

E is irrational; B is rational as written, but irrational if it should be √11. All the others are rational.

The length of the segment with the variable x is as follows:

EF = 9 units.

A trapezium is a quadrilateral. The midsegment of a trapezoid is a line that goes across from the middle of one leg to the middle of the other leg.

Therefore, the side EF is the mid segment of the trapezium.

Hence, let's find the variable x as follows:

Therefore,

EF = x - 5 + 2x - 4 / 2

combine like terms

EF = x + 2x - 5 -4 / 2

EF = 3x - 9 / 2

x = 3x - 9 / 2

cross multiply

2x = 3x - 9

2x - 3x = -9

-x = -9

x = 9

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a)The 7-year growth factor for the amount on the loan is $4285.71.

b)  7-year percentage change for the amount is 6.25%.

c) 1-year growth factor for the amount $612.244.

d) 1-year percent change for the amount is 0.894%.

a)We know very well that growth factor is ratio of difference of principal amount and loan amount to the time taken, or

Growth factor=(Final loan amount-Initial loan amount)/Total time

=>Growth factor=(78,000-48,000)/7

=>Growth factor=30,000/7=$4285.71

b)To find the percentage change in amount, we need to use initial loan amount and the difference between two amounts, or

  percentage change=((78000-48000)/48000)×100

=>percentage change=[(30000)/48000)]×100

=>percentage change=300/48=6.25%

c)Now, we have already find the growth factor for 7 years, we need to find growth rate in 1 year. So, we use unitary method to find it

=>In 7 years growth factor is=$4285.71

   ∴In 1 years growth factor is=$4285.71/7=$612.244

d)In 7 years percentage change for the given amount is =6.25%

∴In 1 year percentage change for the given amount=6.25/7=0.894%

Hence, answers are a)$4285.71 b)6.25% c)$612.244 d)0.894%

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Answer: 4500

Step-by-step explanation:

60% Daily

50% Weekly

20% None    

130% total    →   30% both Daily and Weekly

30% of total people = 1500

 0.30x = 1500

÷0.30     ÷0.30

      x = 4500