Sixty-five students voted for Jessica. Two times
many students voted for Sierra. How many
students voted

a. The probability that a reaction from the pilot takes more than 0.3 seconds is; 0.3085 or 30.85%

b. The reaction time that  is exceeded 95% of the time is; 1.284 s

The formula for the z-score of a normal distribution is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

μ = ½ = 0.5 seconds

σ = 2/5 = 0.4 seconds

a) Probability hat a reaction from the pilot takes more than 0.3 seconds is;

P(X > 0.3);

z = (0.3 - 0.5)/0.4

z = -0.5

From online p-value from z-score calculator, we have;

p = 0.3085

b) If reaction time is that which is exceeded 95% of the time, then;

The z-score that corresponds to a p-value f 95% is; z = 1.96

Thus;

1.96 = (x' - 0.5)/0.4

x' = (1.96 * 0.4) + 0.5

x' = 1.284

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From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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Answer:

Step-by-step explanation:

3/4 : 1/8 =

3/4 x 8 =

24/4 =

6

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Answer:

Directions: Write the new coordinates for each point or figure.

Sample Question:

Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?

Answer:

The coordinates of its image point after the translation are (-12, 0).

Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.

Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?

Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?

Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?

Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?

Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?

Answer:

(-10,5)

Step-by-step explanation:

Answer: 1.To find the mean, we sum up all the scores and divide by the number of scores:

Mean = (5 + 12 + 8 + 14 + 11) / 5 = 50 / 5 = 10

To find the variance, we first find the deviation of each score from the mean:

5 - 10 = -5

12 - 10 = 2

8 - 10 = -2

14 - 10 = 4

11 - 10 = 1

We square each deviation and sum them up:

(-5)^2 + 2^2 + (-2)^2 + 4^2 + 1^2 = 26

Then, we divide by the number of scores to find the variance:

Variance = 26 / 5 = 5.2

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √5.2 = 2.28

2. To construct a simple random sample of size 2, we can choose any two scores from the population. The number of ways to do this is given by the combination formula:

C(5,2) = 5! / (2! * (5 - 2)!) = 10

Therefore, there are 10 simple random samples of size 2 that can be constructed.

3.The mean of the sampling distribution of the sample means is equal to the population mean, which we found to be 10. The variance of the sampling distribution is equal to the population variance divided by the sample size:

Variance of sampling distribution = Variance / Sample size = 5.2 / 2 = 2.6

The standard error of the sampling distribution is the square root of the variance:

Standard error = √2.6 = 1.61

4.The variance of the sampling distribution is 2.6, as we found in part

5. Since this is considered to be data from a simple random sample, we can use the sample mean as a point estimate of the population mean. Therefore, the point estimate of the population mean is 10.

Similarly, we can use the sample variance as a point estimate of the population variance. However, we need to correct for the bias in the sample variance by dividing by (n-1) instead of n:

Point estimate of population variance = Variance * (n / (n-1)) = 5.2 * (5 / 4) = 6.5

Step-by-step explanation:

Answer:

I believe it's A

Step-by-step explanation:

(^-^) Hope this helps!

Answer:

For every 2 bills, Dino has 7 coins.

Step-by-step explanation:

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

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Answer:

the closest answer is the last option, so I would say that is the correct one.

Step-by-step explanation:

4.5 x 4.5 x π =

20.25 x π =

63.6172....

Answer: D. Rhombus

Step-by-step explanation: Based on the given image, the quadrilateral can be classified as a rhombus. A rhombus is a quadrilateral with all sides of equal length. In the given image, all four sides of the quadrilateral appear to be congruent, which satisfies the definition of a rhombus.

A simplification of the fractions (-5/8) ÷ (-3/4) is equal to: B. -20/24.

The step in which Johnetta made her error include the following: A. step 1.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

Based on the information provided above, the division can be calculated as follows;

Fraction = (-5/8) ÷ (-3/4)

Fraction = -5/8 × (-4/3)

Fraction = -20/24

For Johnetta, we have:

Fraction = 7/9 ÷ 3/8

Fraction = 7/9 × 8/3

Fraction = 56/27

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Answer:

The mean is  \(\= x  = 79.7 \)

The standard deviation  \(\sigma =7.81\)

Step-by-step explanation:

From the question we are told that

  The data given is  

Temperature                Lower Limit           Upper Limit               Days

50-59                               50                             59                          2

60-69                                 60                            69                        313

70-79                                  70                           79                          1419

80-89                                   80                          89                         1503

90-99                                   90                          99                          319

100-109                                100                         109                         9        

Generally the average of each limit is evaluated as

Temperature    Lower Limit   Upper Limit         Average\((x_i)\)                    Days\((f_i)\)

50-59                 50                   59              ( 50 + 59 )/2 =54.5                 2

60-69                 60                   69              (60+69)/2 = 64.5                    313

70-79                 70                    79               (70+79)/2 =74.5                    1419

80-89                 80                   89                (80+89)/2 =84.5                  1503

90-99                 90                   99                 (90+99)/2 = 94.5                319

100-109             100                  109                 (100+109)/2 = 104.5            9  

Generally the mean is  evaluated as

     \(\mu  =  \frac{\sum x_i f_i}{\sum f_i}\)

=>  \(\mu  =  \frac{ (54.5 * 2) + (64.5 * 313) +\cdots +(104.5 *  9)}{2 + 313 +\cdots + 9}\)

=> \(\= x  = 79.7 \)

Generally the standard deviation  is  evaluated as

    \(\sigma = \sqrt{ \frac{\sum[ f_i * ( x_i^2 - \= x^2)] }{\sum f_i}}\)

=>   \(\sigma =\sqrt{ \frac{[2 * [(54.5)^2) - 79.7^2 ]]+[313 *[ (64.5)^2)-79.7^2] +\cdots +[9 *[ (104.5)^2)- 79.7^2]  }{2 + 313 +\cdots + 9}}\)

=>  \(\sigma =7.81\)

The mean and Standard deviation for the given data would be as follows:

μ \(= 79.7\)

б \(= 7.81\)

Given that,

Temperature       Lower Limit           Upper Limit             Days(\(f_{i}\))

50-59                       50                           59                          2

60-69                       60                           69                         313

70-79                         70                           79                          1419

80-89                        80                          89                          1503

90-99                        90                          99                           319

100-109                    100                         109                            9  

Average(\(x_{i}\))    

\(( 50 + 59 )/2 =54.5\)

\((60+69)/2 = 64.5\)

\((70+79)/2 =74.5\)

\((80+89)/2 =84.5\)

\((90+99)/2 = 94.5\)

\((100+109)/2 = 104.5\)

As we know,

Mean (μ) \(=\) ∑\((x_{i} f_{i}) /\)∑\(f_{i}\)

\(= [(54.5\) × \(2) + (64.5\) ×\(313)+....(104.5\)× \(9)]\)\(/(2 + 313 + 1419 + ....9)\)

∵ μ \(= 79.7\)

As we know,

Standard Deviation:-

\(\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{f_{i} }}}\)

by putting the values, we get

∵ б \(= 7.81\)

Thus, μ \(= 79.7\) and б \(= 7.81\) are the correct answers.

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

The missing side's length is 18.2

Step-by-step explanation: To find a missing side in a right triangle, you use the Pythagorean theorem to solve it. According to the Pythagorean Theorem, \(12.6^{2}\) + \(13.1^2\) = \(x^{2}\), so 158.76 + 171.61 = \(x^{2}\) ⇒ 330.37 = \(x^{2}\) ⇒ x ≈ 18.2.

Answer:Each player would get 9 cards each with a reaminder of 4 cards left

Step-by-step explanation:6 times 9 is 54 + 4 is 58

Answer: 9

Step-by-step explanation:

To figure out the given problem below:

P = 6

C = 58

You have to divide the problem.

So \(58\) ÷ \(6 = 9\).

Answer:

Well personally I would use your fomula because its different ways to do this and is taught differnet but the way I was taught was to add up all the sides and multiply

Step-by-step explanation:

add all of them

Answer:

11

Step-by-step explanation:

If the number behind the decimal wasnt more than 50 then 10 would stay as it is

I hope this helps :3

I think the answers 3048_&8_9_)_)_

Answer:

Rule: A=50n

Step-by-step explanation:

Because each purse is 50 pesos, and n is the number of purses, and 50n would be the total cost, otherwise known as A.

Our rule is: A=50n

Then we insert 3 values for n, and solve to get the ordered pairs.

n=3 purses, A=3*50=150 dollars

n=4 purses, A=200 dollars

n=5 purses, A=250 dollars

Answer:

first blank:center

second blank: equal to

Step-by-step explanation:

A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image

Answer:

(i) 8x^2yz=2×2×2×x×x×y×z

Answer:

the answer is 3,4,5,6

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The polynomial function is solved and the roots are = 3 , 4 , 5 and 6

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = a fourth degree polynomial can have at most four roots.

Therefore, the first option with five roots is not possible. The third option has two roots that are not integers, which is also not possible since the question asks for a complete list of the roots.

Hence , the number of roots = 4 which is { 3 , 4 , 5 , 6 }

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Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

A, B, and E. Hope this helps!

The percentile for each z-score is solved

a) z = -0.47 , P₁ = 32.84%

b) z = 2.24 , P₂ = 98.89%

Given data ,

To find the percentile corresponding to a given z-score, we can use a standard normal distribution table or a calculator that can compute the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives the probability that a value from a standard normal distribution is less than or equal to a given z-score.

a) For z = -0.47, we can use a standard normal distribution table or a calculator to find the percentile. Let's assume that the percentile corresponding to z = -0.47 is P₁

P₁ = Percentile for z = -0.47

Using a standard normal distribution table or a calculator, we find that P₁ is approximately 32.84%. This means that about 32.84% of individuals scored at or below a z-score of -0.47.

b) For z = 2.24, we can use a standard normal distribution table or a calculator to find the percentile. Let's assume that the percentile corresponding to z = 2.24 is P₂

P₂ = Percentile for z = 2.24

Using a standard normal distribution table or a calculator, we find that P₂ is approximately 98.89%. This means that about 98.89% of individuals scored at or below a z-score of 2.24.

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The first five ordered pairs for the sequence are;

⇒ (1, 2) , (2, 6) , (3, 8) , (4, 14) , (5, 18)

And, The graph of the first five ordered pairs for the sequence are shown in figure.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The sequence is,

⇒ a(n) = 2 + 4 (n - 1)

Now,

Find the first five ordered pairs for the sequence as;

The sequence is,

⇒ a(n) = 2 + 4 (n - 1)

Substitute n = 1;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(1) = 2 + 4 (1 - 1)

⇒ a(1) = 2

Substitute n = 2;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(2) = 2 + 4 (2 - 1)

⇒ a(2) = 2 + 4

⇒ a(2) = 6

Substitute n = 3;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(3) = 2 + 4 (3 - 1)

⇒ a(3) = 2 + 4 × 2

⇒ a(3) = 2 + 6

⇒ a (3) = 8

Substitute n = 4;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(4) = 2 + 4 (4 - 1)

⇒ a(4) = 2 + 4 × 3

⇒ a(4) = 2 + 12

⇒ a(4) = 14

Substitute n = 5;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(5) = 2 + 4 (5 - 1)

⇒ a(5) = 2 + 4 × 4

⇒ a(5) = 2 + 16

⇒ a(5) = 18

Thus, All the first five ordered pairs for the sequence are;

⇒ (1, 2) , (2, 6) , (3, 8) , (4, 14) , (5, 18)

And, The graph of the first five ordered pairs for the sequence are shown in figure.

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