If Heidi makes 15.85 an hour and she works 47.50 hours this week what is her overtime pay ?

According to the information, ball B is the one that reaches the highest height because after 1.5 seconds it has a height of 13m, while ball A has a height of 12m.

To identify the ball that reaches the highest we must solve the function shown. Additionally, to know what is the greatest height we must replace the value of x by 1.5 as shown below:

According to the above we can infer that this function gives a height less than the one shown in the table because the height of the ball is 12 and that of the table is 13. So 12 < 13.

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Answer:

2(x-5)(x+4)

Step-by-step explanation:

Answer:

72 inches

Step-by-step explanation:

Due to the programming error, the robot first moves to the right and then to the left. The second time it moves to the right, it increases its distance by 1 foot to the right and then turns back and moves to the left, reaching the starting position again.

The patterns is as follows:

move 1: moves to the right by 1 foot.

moves 2: moves to the left.

moves 3: moves to the right by 2 feet.

moves 4: moves to the left

moves 5: moves to the right by 3 feet.d

moves 6: moves to the left

moves 7: moves to the right by 4 feet.

moves 8: moves to the left

moves 9: moves to the right by 5 feet.

moves 10: moves to the left

moves 11: moves to the right by 6 feet.

We see that in the end, the robot has managed to only move 6 ft. Since 1 ft = 12 inches, 6 ft = 6* 12 = 72 ft.

So, the robot has painted 72 inches of the fence before Kiteretsuki returns.

B. Mean is not resistant to extreme values in a numeric data set. The mean is affected by outliers or extreme values in a dataset because it takes into account all the values in the dataset, including the extreme values.

Central tendency is a measure that is used to find the central or typical value of a set of data. The most common measures of central tendency are mean, median, and mode. These measures provide different ways of summarizing the data, depending on the nature of the dataset and the research question.

The mean is calculated by adding up all the values in a dataset and dividing by the number of values. The mean is often considered to be the most common measure of central tendency because it takes into account all the values in the dataset. However, the mean is not resistant to extreme values or outliers. An outlier is an observation that is significantly different from other observations in the dataset.

When a dataset contains extreme values or outliers, the mean is often affected, resulting in a value that does not represent the central tendency of the dataset. This is because the mean is influenced by every value in the dataset, including the outliers, and is not a robust measure of central tendency. In contrast, the median and mode are resistant to extreme values and provide better estimates of central tendency when a dataset contains outliers.

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Even though the first student scored 150, the expected average IQ score for the remaining four students is still 100.

Explain average

The average is a statistical measure that represents the central tendency of a set of values. It is calculated by adding up all the values and dividing them by the total number of values. The average provides a single value that represents the typical value in the set and is often used to compare different sets of data or to summarize large amounts of data.

According to the given information

Let X be the random variable representing the IQ score of an individual student. Then, the sample mean of the five students, denoted by Y, can be expressed as:

Y = (X1 + X2 + X3 + X4 + X5) / 5

Given that the first student scored 150, the expected value of the sample mean of the remaining four students, denoted by E(Y|X1=150), can be calculated as follows:

E(Y|X1=150) = E((X2 + X3 + X4 + X5) / 4 | X1 = 150)

Since X1 = 150 is an observed value, we can treat it as a constant and apply the linearity of expectation:

E((X2 + X3 + X4 + X5) / 4 | X1 = 150) = (E(X2 | X1 = 150) + E(X3 | X1 = 150) + E(X4 | X1 = 150) + E(X5 | X1 = 150)) / 4

Now, since the sample is random, the remaining four IQ scores are also independent and identically distributed as X, with the same mean of 100. Therefore, we have:

E(X2 | X1 = 150) = E(X3 | X1 = 150) = E(X4 | X1 = 150) = E(X5 | X1 = 150) = E(X)

Thus, we can simplify the expression as:

E(Y|X1=150) = (4E(X) / 4) = E(X) = 100

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By "state the universe" I suppose you mean "domain". log₂(x ² + 3x + 2) is defined for

x ² + 3x + 2 = (x + 1) (x + 2) > 0   →   x < -2   or   x > -1

(To solve the inequality, consider values of x between the ones that make the expression exactly equal to 0, in this case x = -2 and x = -1. We have, for instance, for x = -3, that (-3)² + 3(-3) + 2 = 2 > 0, so x ² + 3x + 2 > 0 for all x < -2.)

Now solve the equation: Write both sides as powers of 2 to eliminate the logarithm on the left:

\(\log_2(x^2+3x+2)=1\implies 2^{\log_2(x^2+3x+2)}=2^1\implies x^2+3x+2=2\)

Solve the remaining quadratic:

x ² + 3x + 2 = 2

x ² + 3x = 0

x (x + 3) = 0

x = 0   or   x = -3

Both of these solutions are within the presribed domain (-3 < -2 and 0 > -1), so we're done.

Answer:

4 because i did the same test

Step-by-step explanation:

Answer:

25.12 OR 16

Step-by-step explanation:

We can see that the diameter of the circle is 8 inches. Let's put this number into the formula. The circumference of a circle that has a diameter of 8 inches is 25.12 inches

2 times 8 = 16

Answer:

we will use the sum of natural number series formula

if S=1+2+3+4+n, then

S= n(n+1) ;

2

Now, sum of all +ve integers from 0 to 200 is given by

S=0+1+2+3+200

=> S=200(200+1)/2;

=>S=20100;

Sum of all +ve integers divisible by 5 is given by

R=0+5+10+15+20+25+30+200

R=5(1+2+3+4+5+6+40)

R=5*40(40+1)/2

R=4100 ;

therefore the sum of all +ve integers <200 and not divisible by 5=S-R=16000

Step-by-step explanation:

Answer: X=10

Step-by-step explanation:

The rate of simple interest is 0.05, which is equivalent to 5% when expressed as a percentage.

To calculate the rate of simple interest, we can use the formula:

Interest = Principal * Rate * Time

Given that Hilaria borrowed $8,000 and paid back $1,600 in interest after four years, we can set up the equation:

$1,600 = $8,000 * Rate * 4

Divide both sides of the equation by $8,000 * 4

$1,600 / ($8,000 * 4) = Rate

Simplifying the equation: 0.05 = Rate

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Given the function f(x)=sin(2πx), with x = 0.3, f(x) = 0.951057. The objective is to approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1.

We know that the Taylor series for a function f(x) can be written as:f(x)=f(a)+f′(a)(x−a)+f′′(a)2(x−a)2+…+f(n)(a)n!(x−a)n+…The first two terms of the Taylor series are given by:f(x)=f(a)+f′(a)(x−a)The first derivative of f(x) is given by:f′(x)=2πcos(2πx)On substituting x = a = 0.1, we get:f′(0.1) = 2πcos(2π * 0.1) = 5.03118603447The value of f(x) at a=0.1 is given by:f(0.1) = sin(2π * 0.1) = 0.587785252292With a=0.1, the first two terms of the Taylor series become:f(x)=0.587785252292+5.03118603447(x−0.1) = 0.587785252292+0.503118603447x−0.503118603447×0.1Using x=0.2 and substituting the values of a and f(a) in the equation above, we get:f(0.2)=0.587785252292+0.503118603447*0.2−0.503118603447×0.1=0.712261After approximating the value of f(0.2) using the first two terms in the Taylor series,

we can conclude that the value of f(0.2) = 0.712261 with a = 0.1, with an error of approximately 0.012796.

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Answer:

-95

Step-by-step explanation:

4+9(3+11)-15²

So, the order of operations is PEMDAS. The first thing is "P" for Parenthesis, so you would do whatever is in the parenthesis first.

3+11= 14

Now, the expression is 4 + 9 (14) - 15²

The next letter is "E" for Exponents. so the 15² has an exponent, so you do    15 x 15.

4+9(14)-225

Next is "M" for Multiplication. A number next to a parenthesis can mean multiplication as well. So, you do 9 × 14 = 126

Now, it's 4 + 126 - 225

Since there is only addition and subtraction left, you go left to right.

4 + 126 = 130

130 - 225 = -95

Hope this helps !!

-Ketifa

Hey there!

\(\large\textsf{Do PEMDAS to solve!}\\\\\\\large\textsf{PEMDAS simply MEANS....}\\\\\\\large\textsf{Parentheses}\\\\\large\textsf{Exponents}\\\\\large\textsf{Multiplication}\\\\\large\textsf{Division}\\\\\large\textsf{Addition}\\\\\large\textsf{Subtraction}\)

\(\large\textsf{4 + 9(3 + 11) - 15}^\mathsf{2}\)

\(\large\textsf{3 + 11 = \bf 14}\)

\(\large\textsf{= 4 + 9(14) - 15}^\mathsf{2}\)

\(\large\textsf{9(14) = \bf 126}\)

\(\large\textsf{= 4 + 126 - 15}^\mathsf{2}\)

\(\large\textsf{4 + 126 = \bf 130}\)

\(\large\textsf{= 130 - 15}^\mathsf{2}\)

\(\large\textsf{15}^\mathsf{2}\\\large\textsf{= 15}\times \large\textsf{15} \\\large\textsf{= \bf 225}\)

\(\large\textsf{= 130 - 225}\)

\(\large\textsf{= \bf -95}\)

\(\boxed{\boxed{\huge\textsf{Answer: \bf -95}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Values of parameters n and p for the binomial distribution with mean 6 and variance 3.6 are n=15 and p=0.4, respectively.

In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical trials, where each trial can result in only two possible outcomes, often labeled as "success" and "failure".

The distribution depends on two parameters: the probability of success (p) and the number of trials (n). The probability of getting exactly k successes in n trials can be calculated using the binomial probability mass function.

The binomial distribution has applications in various fields, including quality control, genetics, and finance, among others.

We know that for a binomial distribution, the mean and variance are given by:

Mean = np

Variance = np(1-p)

Substituting the given values, we have:

Mean = 6

Variance = 3.6

Thus, we can write two equations:

6 = np

3.6 = np(1-p)

We can solve for n and p by substituting the first equation into the second equation:

3.6 = (6/p) * (1-p) * p

3.6 = 6 - 6p

6p = 6 - 3.6

p = 0.4

Substituting this value of p into the first equation, we get:

6 = n * 0.4

n = 6 / 0.4

n = 15

Therefore, the values of the parameters n and p are n = 15 and p = 0.4, respectively.

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Answer: I believe that the answer 14 hits

Step-by-step explanation:

8 games= 4 hits

16 games= 8 hits

24 games= 12 hits

28 games= 8 games divided by 4 so that would mean only 2 hits

12+2= 14 hits

I hope that you get it right (:

Answer:

14 hits

Step-by-step explanation:

Took the quiz

Answer: $5.85

Step-by-step explanation:

Answer:

5.85

Step-by-step explanation:

since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85

Answer:

17

Step-by-step explanation:

6 +5 + 6

17

Answer:

The right answer is 32

Step-by-step explanation:

3/4 × 32 = 24

Answer:

18

Step-by-step explanation:

divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Answer:

well, we know it is

y = -4 x + b

so all we need is b

5 = -4(9) + b

5 = -36 + b

b = 41

so

y = -4 x + 41

Answer:

The question appears unsolvable.

Step-by-step explanation:

Answer:

gfngfnhfggcf

Step-by-step explanation:

ghfmncg

The time spent doing the maths assignment is 1 hour 20 minutes.

Two equations can be derived from the question:

m - f = 25 minutes equation 1

m + f = 135 minutes equation 2

Where:

m = time spent doing maths assignment

f = = time spent doing French assignment

In order to determine the value of m, add equation 1 and 2 together

2m = 160

Divide both sides by 2

m = 80 minutes

m =  1 hour 20 minutes

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Answer:

$80

Step-by-step explanation:

DJ Dan's hourly rate will be $80.

Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.

Assume that the hourly rate is $[x]. Than, we can write -

3.5x + 125 = 405

3.5x = 405 - 125

3.5x = 280

x = (280/3.5)

x = 80

Therefore, DJ Dan's hourly rate will be $80.

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Answer:

Step-by-step explanation:

The coefficient is the number part.

Answer:

9

Step-by-step explanation:

Correct me if i'm wrong

Answer:

down below

Step-by-step explanation:

Assuming you meant multiplying:

61.295

Hope this helps! :)

The correct answer is:

b. Test statistic: t = -1.841

Critical value = ±2.045

Do not reject H0

To conduct the hypothesis test using the pooled t-test, we compare the calculated test statistic to the critical value at a significance level of α = 0.05.

Given the following statistics for two independent samples:

Sample 1: x1 = 11.1, s1 = 4.5, n1 = 14

Sample 2: x2 = 17.2, s2 = 4.9, n2 = 17

The pooled t-test assumes that the population variances are equal. We calculate the pooled standard deviation (sp) using the formula:

sp = sqrt(((n1-1)*s1^2 + (n2-1)*s2^2) / (n1 + n2 - 2))

Next, we calculate the test statistic (t) using the formula:

t = (x1 - x2) / (sp * sqrt(1/n1 + 1/n2))

For the given data, the calculated test statistic is t = -3.577.

To determine whether to reject or fail to reject the null hypothesis (H0), we compare the absolute value of the test statistic to the critical value from the t-distribution at a significance level of α = 0.05. In this case, the critical value is ±1.699.

Since the absolute value of the test statistic (-3.577) is greater than the critical value (1.699), we do not reject the null hypothesis (H0). Therefore, the correct answer is c. Test statistic: t = -3.577, Critical value = ±1.699, Do not reject H0.

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The critical numbers of g(θ) on the interval 0 ≤ θ < 2π are:  θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.

To find the critical numbers of g(θ) = 4θ - tan(θ) on the interval 0 ≤ θ < 2π, we need to find the values of θ where the derivative of g(θ) is equal to 0 or undefined.

First, we find the derivative of g(θ) using the chain rule and quotient rule:

g'(θ) = 4 - sec²(θ)

To find where g'(θ) is equal to 0, we set the derivative equal to 0 and solve for θ:

4 - sec²(θ) = 0

sec²(θ) = 4

Taking the square root of both sides, we get:

sec(θ) = ±2

Since sec(θ) = 1/cos(θ), we can rewrite this as:

cos(θ) = ±1/2

We know that on the interval 0 ≤ θ < 2π, the cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants.

Therefore, we need to find the values of θ in the first and fourth quadrants where cos(θ) = 1/2, and the values of θ in the second and third quadrants where cos(θ) = -1/2.

For cos(θ) = 1/2, we have:

θ = π/3 or 5π/3 in the first quadrant
θ = 7π/3 or 11π/3 in the fourth quadrant

For cos(θ) = -1/2, we have:

θ = 2π/3 or 4π/3 in the second quadrant
θ = 8π/3 or 10π/3 in the third quadrant

Therefore, the critical numbers of g(θ) on the interval 0 ≤ θ < 2π are:

θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.

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Answer:

-70

Step-by-step explanation:

f(x)=x^3 - 6

f(-4) = (-4)^3 - 6

f(-4) = -64 -6

f(-4) = -70