Amanda is 25 years old. In 5 years time she will be twice as old as Simone.how old is Simone ?

Answer:

18

Step-by-step explanation:

She won 75% of 24 matches.

75% of 24 = 0.75 × 24 = 18

Answer: 18

Tennis player will win 18 matches as a required percentage of total matches.

"Percentage is defined as the hundredth part of a given quantity."

According to the question,

Percentage of tennis player won the matches = 75%

Total number of matches played by player = 24

x represents the number of matches she win

Therefore,

   x = 75% of 24

⇒ x = (75 / 100) × 24

⇒ x = 18 matches

Hence, tennis player will win 18 matches.

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Answer:

Step-by-step explanation:

9. 31 + 5 = 36

10. 16 - 4 = 12

11. 28 - 1 = 27

12. 9

13. 34 + 44 = 78

14. 101 - 1 = 100

Answer:

Standard error = 0.070

Step-by-step explanation:

Formula for the standard error of the distribution of differences in sample proportions is;

σ_(A - B) = √((p_a^(1 - p_a^)/n_a) + (p_b^(1 - p_b^)/n_b))

We are given;

p_a^ = 0.48

n_a = 80

p_b^ = 0.13

n_b = 66

Thus;

σ_(A - B) = √((0.48(1 - 0.48)/80) + (0.14(1 - 0.13)/66))

σ_(A - B) = √0.00496545455

σ_(A - B) = 0.070

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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X intercept: 10/5

Y intercept: 0

To find the intercepts of a linear equation, you need to set either the X or Y variable to 0 and then solve for the other variable.

For example, if you have the equation 5x - 2y = 10, you can set X equal to 0 and solve for Y to find the Y intercept, or you can set Y equal to 0 and solve for X to find the X intercept.

X Intercept:

To find the X intercept, set Y equal to 0 and solve for X.

5x - 2(0) = 10

5x = 10

x = 10/5

X intercept = 10/5

Y Intercept:

To find the Y intercept, set X equal to 0 and solve for Y.

5(0) - 2y = 10

-2y = 10

y = -10/2

Y intercept = 0

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Given:

The points (3, 1) and (0, -2).

To find: The slope-intercept form of the line

Explanation:

Using the two-point formula,

Here, we have

Substituting and solving we get,

Final answer:

The slope-intercept form of the line is,

Answer:

Since it starts at 17 and is increasing by 3 each time, the 70th term will be:

17 + 3(70) =

17 + 210 =
227

In conclusion, 227 would be the 70th term in the sequence.

Step-by-step explanation:

Have a great rest of your day
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Step-by-step explanation:

Tn = a + (n - 1)d

n = 70, a = 17, d = > 20 - 17 => 3

T_70 = 17 + (70 - 1)3

T_70 = 17 + 69•3

T_70 = 17 + 207

T_70 = 224

Since f(x) = -3, we have (+ Ø)(x) = f(x) + g(x) = -3 + g(x)

Substituting g(x) = 3x²+x-6, we get:

(+ Ø)(x) = -3 + 3x²+x-6

Simplifying, we get:

(+ Ø)(x) = 3x²+x-9

Therefore, the answer is C. 3x²+x-9.

Answer:

Use the following Financial Ratios to measure financial performance against standards. In addition, analysts compare these ratios to industry averages (benchmarking), industry standards or rules of thumbs and against internal trends (trends analysis). Furthermore the most useful comparison when performing financial ratio analysis is trend analysis They are derived from thethree following financial

statements:

⚫Balance Sheet

•Income Statement

⚫Statement of Cash Flows

.5 Categories

The five (5) major categori in the financial ratios list include the following:

•Liquidity Ratios

•Activity Ratios

•Debt Ratios

•Profitability Ratios

•Market Ratios

Step-by-step explanation:

Sana makatulong

Ratios dealing with short-term debts are Liquidity Ratios; those gauging efficiency in using assets for sales are Activity Ratios, and those scrutinizing long-term debt handling are Leverage Ratios. Along with the calculations, observations and identification of trends and their driving factors are also necessary.

In finance and business, ratio analysis is a tool used for conducting quantitative analysis on a company's financial statements. It involves the calculation and interpretation of various financial ratios. The following are the answers to the question's blanks:

However, only calculating ratios is not enough; you must also observe and identify trends suggested by the analysis, as well as identify the factors that drive these trends. These additional steps provide context and deeper insights into the company's financial performance.

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Answer:

Step-by-step explanation:

The sum of exterior angles in a quadrilateral is always 360 degrees.

So, 2x+x+4x+3x=10x=360

Soling for x, we get x=36 degrees.

Answer:

its B

Step-by-step explanation: trust me but also you can graph it and it will show the points

Complete Question

Assume the random variable x is normally distributed with mean u=87 and standard deviation o=5. Find the indicated probability.

P(x<81)

P(x<81)=__(Round to four decimal places).

Answer:

The  value  is  \(P(x < 81) = 0.11507\)

Step-by-step explanation:

From the question we are told that

  The mean is  \(\mu = 87\)

  The  standard deviation is  \(\sigma = 5\)

The probability is mathematically represented as

              \(P(x < 81) = P (\frac{X - \mu }{\sigma } < \frac{81 - 87 }{5 } )\)

Generally  \(\frac{X - \mu}{\sigma} = Z (The \ z-score \ of X )\)

            \(P(x < 81) = P (Z < - 1.2)\)

From the z-table  

                   \(P (Z < - 1.2) = 0.11507\)

So               \(P(x < 81) = 0.11507\)

Answer is 7.b  because of the angles

Answer:

We conclude that the percentage of blue candies is equal to 29​%.

Step-by-step explanation:

We are given that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage of blue candies is equal to 29​%.

Let p = population percentage of blue candies

So, Null Hypothesis, \(H_0\) : p = 29%     {means that the percentage of blue candies is equal to 29​%}

Alternate Hypothesis, \(H_A\) : p \(\neq\) 29%     {means that the percentage of blue candies is different from 29​%}

The test statistics that will be used here is One-sample z-test for proportions;

                         T.S.  =  \(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }\)  ~ N(0,1)

where, \(\hat p\) = sample proportion of blue coloured candies = 28%

           n = sample of colored​ candies = 100

So, the test statistics =  \(\frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }\)

                                    =  -0.22

The value of the z-test statistics is -0.22.

Also, the P-value of the test statistics is given by;

               P-value = P(Z < -0.22) = 1 - P(Z \(\leq\) 0.22)

                            = 1 - 0.5871 = 0.4129

Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of z, so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29​%.

Answer:

the graph is (0,2)

Step-by-step explanation:

As per the perimeter the length of the shorter side is 10.5 feet and the length of the longer side is 73.5 feet.

The perimeter of a rectangle is the sum of the lengths of all its sides. If we know the perimeter of a rectangle and some information about the relationship between its sides, we can use that information to find the lengths of the sides.

Let's call the length of the shorter side "x".

The other side is seven times as long, so it is 7x.

The perimeter of the rectangle is 168 feet, so we have

=> 2x + 14x = 168.

Simplifying the equation, we have

=> 16x = 168.

Dividing both sides of the equation by 16, we find

=> x = 10.5.

So, the length of the shorter side is 10.5 feet and the length of the longer side is

=> 7x = 7 * 10.5 = 73.5 feet.

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1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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\( \bf \large \implies{6.5}\)

As shown in the figure, in the 40 games,

\( \bf{(3 + 6 + 4) = 13 \: ahead}\)

\( \bf{p \: = \: \frac{13}{40} }\)

\( \bf{So \: N = 20 \times p \: = 20 \times \frac{13}{40} = 6.5}\)

In the 20 games, the team will be ahead in atleast one of the halves in 10.5 games.

We can see in the given data that the number of halves which ended in atleast one ahead is  3 + 6+ 4 + 5 + 3 = 21

Hence, the probability of getting ahead is 21/40.

We have to find the number of games in which the team will get ahead in atleast one of the halves in the next 20 halves according to the given data.

Hence, the number of games in which the team will get ahead in atleast one of the halves in the next 20 halves  is 20*(21/40) = 21/2 = 10.5 games.

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Answer:

Step-by-step explanation:

uhh

Answer:

7 + 55\(\sqrt{11}\)

Step-by-step explanation:

term one is 7

so term 2 is 7 + \(\sqrt{11}\)

and term 3 is 7 + 2\(\sqrt{11}\)

common pattern here: 7 + (n-1)\(\sqrt{11}\)

when n = 56

7 + 55\(\sqrt{11}\)

Answer:

No

Step-by-step explanation:

To calculate how much fence is needed we need to calculate the perimeter NOT area.

P = 2L+2W

P =2(6.75)+2(4 2/3)

P = 13.5 + 9 1/3

P = 22 5/6

Because she only has 22 yards she does not have enough to go all the way around.
Hope this helps and brainliest please

Answer:

No

Step-by-step explanation:

the perimeter is 22.7 she is approximately .7 off

The product of (2² x 5⁵)(2⁵ x 5³) that can be represented as 2^a x 5^b is; 2⁷ × 5⁸

We want to find the product of (2² x 5⁵)(2⁵ x 5³) that can be represented as 2^a x 5^b

From laws of exponents, we know that;

y² × y³ = y⁽²⁺³) = y⁵

Similarly, for our question we see that; (2² x 5⁵)(2⁵ x 5³) can be expressed using the laws of exponents as;

(2² ⁺ ⁵) * (5⁵ ⁺ ³) = 2⁷ × 5⁸

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Answer:

1. ∆CBD:      ∠B = 70°; ∠BCD = 20°; ∠ BDC = 90°

2. ∆CDA: ∠ACD = 70°;      ∠A = 20°; ∠ ADC = 90°

Step-by-step explanation:

1. ∆DBC

In ∆ABC

 ∠A + ∠B + ∠C = 180°

20° + ∠B + 90 ° = 180°

         ∠B + 110 ° = 180°

      ∠DBC = ∠B =  70°

In ∆CBD

                      ∠BDC =  90°

∠B + ∠BCD + ∠CBD = 180°

  70° + ∠BCD + 90 ° = 180°

           ∠BCD + 160° = 180°

                        BCD =   20°

2. ∆CAD

∠A + ∠ACD + ∠ADC = 180°

   20° + ∠ACD + 90° = 180°

            ∠ACD + 110° = 180°

                      ∠ACD =   70°

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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Answer:

-5

Step-by-step explanation:

(a) -f(x) reflects f(x) over the x-axis.

Reflection over the x-axis transforms the points (6,3) in the original line into (6, -3), and the point (2, -5) into (2, 5). Connecting these two points with a line, the reflection is done.

From the graph we can see that the value of y when x is less than 0 is y = 0. Also we can see that the value of y when x is bigger than 0 is y = 2

The thing we need to look at now is the circles in x = 0. The filled circle is in y = 0, which implies y = 0 for x less or equal than 0.

Thus the answer is:

Option B:

Please check the solution I gave in the Answer Tab. Do you understand what I did?

Second part of the question:

Since the function is defined for all values of x, the domain are all real numbers. In interval notation,

Option B:

Third part of the question:

The range are all the values of y that the function takes. Since the function has only 2 values of y: 0 and 2, the range is:

Answer:

area = 6.5 square units

Step-by-step explanation:

Use the area of a triangle in coordinate geometry formula:

\(\triangle GHI =\frac{1}{2} |x_1(y_2- y_3) + x_2(y_3 -y_1) + x_3(y_1 -y_2)|\)

where \((x_1,y_1)=(-8,-8) \ \ \ \ (x_2,y_2)=(-6,-7) \ \ \ \ (x_3,y_3)=(-9,-2)\)

      \(\triangle GHI =\frac{1}{2} |x_1(y_2- y_3) + x_2(y_3 -y_1) + x_3(y_1 -y_2)|\)

\(\implies \triangle GHI =\frac{1}{2} |-8(-7+2) -6(-2 +8) -9(-8 +7)|\)

\(\implies \triangle GHI =\frac{1}{2} |40 -36 +9|\)

\(\implies \triangle GHI =6.5\)