Ron dead five dollars on the first day at work the square of that amount on the second day in three times the amount of the second day on a Thursday how much does Ron earn in three days

The probability that x is greater than 77. 5 is 0.039828

Given,

Mean, μ = 80

Standard deviation, σ = 25

We have to find z score corresponding to 77.5

z = (x-μ) / σ

   \(=\frac{77.5-80}{25} \\= 0.1\)

Now we have to find P value from Z table:

P(x<77.5) = 0.46017

P(x>77.5) = 1 - P(x<77.5) = 0.53983

P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828

The probability of x greater than 77.5 is 0.039828

Learn more about Probability from here: https://brainly.com/question/16177246

#SPJ4

Answer:

y=7 and x=-8

Step-by-step explanation:

Isolate x in the first equation:

10x=-17-9y

x=(-17-9y)/10

Substitute into the second equation:

7*((-17-9y)/`10)+10y=14

-119/10+37y/10=14

-119+37y=140

37y=259

y=7

Putting this into the first equation, we get that x=-8

Answer:

2 times 13 is 26 and 26 times 8 is 206

Step-by-step explanation:

The perimeter of the rectangle can be expressed as 10t - 26u centimeters.

Perimeter is the total length of the outer boundary of a two-dimensional shape or a three-dimensional space. It is a measure of the length around the outside of an object or a space and is usually expressed in linear units, such as millimeters, centimeters, meters, or kilometers.

The perimeter of a rectangle is the sum of the lengths of all four sides. Since the width and length of the rectangle are given as (t - 9u) centimeters and (4t - 4u) centimeters, respectively, the perimeter of the rectangle can be expressed as:
Perimeter = 2(t - 9u) + 2(4t - 4u)
Perimeter = 2t - 18u + 8t - 8u
Perimeter = 10t - 26u centimeters

To learn more about perimeter
https://brainly.com/question/19819849
#SPJ1

Since the test statistic (-2.24) falls outside the range of the critical values (-1.96 to 1.96), we reject the null hypothesis.

What is sign test?

The sign test is a non-parametric statistical test used to determine whether the median of a distribution is equal to a specified value. It is a simple and robust method that is applicable when the data do not meet the assumptions of parametric tests, such as when the data

The given problem can be solved using the one-sample sign test to test the null hypothesis that the mean of the population is 19.4 minutes against the alternative hypothesis that it is not 19.4 minutes.

(a) Using Table I:

Step 1: Set up the hypotheses:

Null hypothesis (H0): The mean of the population is 19.4 minutes.

Alternative hypothesis (H1): The mean of the population is not 19.4 minutes.

Step 2: Determine the test statistic:

We will use the sign test statistic, which is the number of positive or negative signs in the sample.

Step 3: Set the significance level:

The significance level is given as 0.05.

Step 4: Perform the sign test:

Count the number of observations in the sample that are greater than 19.4 and the number of observations that are less than 19.4. Let's denote the count of observations greater than 19.4 as "+" and the count of observations less than 19.4 as "-".

In the given sample, there are 5 observations greater than 19.4 (18.1, 20.3, 19.3, 19.5, and 20.0), and 15 observations less than 19.4 (18.3, 15.6, 16.8, 17.6, 16.9, 17.0, 16.5, 18.6, 18.8, 19.1, 17.5, 18.5, and 18.0).

Step 5: Calculate the test statistic:

The test statistic is the smaller of the counts "+" or "-". In this case, the test statistic is 5.

Step 6: Determine the critical value:

Using Table I, for a significance level of 0.05 and a two-tailed test, the critical value is 3.

Step 7: Make a decision:

Since the test statistic (5) is greater than the critical value (3), we reject the null hypothesis.

(b) Using the normal approximation to the binomial distribution:

Alternatively, we can use the normal approximation to the binomial distribution when the sample size is large. Since the sample size is 20 in this case, we can apply this approximation.

Step 1: Set up the hypotheses (same as in (a)).

Step 2: Determine the test statistic:

We will use the z-test statistic, which is calculated as (x - μ) / (σ / √n), where x is the observed number of successes, μ is the hypothesized value (19.4), σ is the standard deviation of the binomial distribution (calculated as √(n/4), where n is the sample size), and √n is the standard error.

Step 3: Set the significance level (same as in (a)).

Step 4: Calculate the test statistic:

Using the formula for the z-test statistic, we get z = (5 - 10) / (√(20/4)) ≈ -2.24.

Step 5: Determine the critical value:

For a significance level of 0.05 and a two-tailed test, the critical value is approximately ±1.96.

Step 6: Make a decision:

Since the test statistic (-2.24) falls outside the range of the critical values (-1.96 to 1.96), we reject the null hypothesis.

Rework Exercise 16.16 using the signed-rank test based on Table X:

To provide a more accurate solution, I would need additional information about Exercise 16.16 and Table X.

To know more about sign test visit:

https://brainly.com/question/31486709

#SPJ4

Answer:

  x = 7

Step-by-step explanation:

The integer values of x that satisfy |x| < 9 are ...

  {-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7. 8}

Of these values, the only one listed as an answer choice is ...

  x = 7

__

Additional comment

The expression |x| means "the absolute value of x". It is the value of x with the sign made positive. That is |-10| = 10, a number greater than 9. Of course, |13| = 13, also a number greater than 9.

Answer:

10 72

Step-by-step explanation:

The number of teammates who sold 70-74 candy bars than the Number of teammates that sold 55-59 candy bars is:4 - 2 = 2

The number of teammates that sold 70-74 candy bars than the number of teammates that sold 55-59 candy bars, we need to count the number of teammates in each group and then subtract the two numbers.

Let's first count the number of teammates who sold 70-74 candy bars. According to the data provided, the teammates who sold candy bars between 70 and 74 are:

Maddie’s Teammates with 70-74 candy bars: 72, 71, 72, and 70. Counting these, we have four teammates who sold candy bars between 70 and 74.

Let's count the number of teammates who sold 55-59 candy bars. The teammates who sold candy bars between 55 and 59 are:

Maddie’s Teammates with 55-59 candy bars: 55 and 58. Counting these, we have two teammates who sold candy bars between 55 and 59.So, the number of teammates who sold candy bars between 70 and 74 is four, and the number of teammates who sold candy bars between 55 and 59 is two.

Therefore, the number of teammates who sold 70-74 candy bars than the number of teammates that sold 55-59 candy bars is:4 - 2 = 2

Hence, two more teammates sold 70-74 candy bars than the number of teammates that sold 55-59 candy bars.

For more questions on Number .

https://brainly.com/question/26460978

#SPJ8

The number of ways can the selection be made is 84.

Given:

an executive hires 3 office workers from 8 applicants.

a ) .

Number of ways = C ( 8 , 3 )

C ( n , r ) = n! / ( n - r ) ! r!

C ( 8 , 3 ) = 8! / ( 8 - 3 ) ! 3!

= 8! / 5! * 3 !

= 8 * 7 * 6 * 5! / 5! * 3!

= 56 * 6 / 3!

= 56 * 6 / 3 * 2 * 1

= 56 * 3 / 2 * 1

= 28 * 3 / 1

= 28 * 3

= 84 ways

Learn more about the selection here:

https://brainly.com/question/27990491

#SPJ4

Answer:

620 miles

Step-by-step explanation:

between 1 pm and 8 pm is 7 hours because 8-1=7

So since there are 7 hours we multiply that by 60 since it is 60 miles an hour

60x7=420

Then we add 200 miles since it was already 200 miles in at 1 pm

420+200=620

620 miles

Hopes this helps please mark brainliest

Answer:

Plot A does

Step-by-step explanation:

Answer:

(-2, -4)

Step-by-step explanation:

Answer:

20.50

Step-by-step explanation:

2.5/100 * 820.00

= 20.50

Answer:

4(9a-4)

Step-by-step explanation:

36a - 16

We can factor 4 from each expression.

4*9a - 4*4

4(9a-4)

Answer:

Step-by-step explanation:

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5

Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

To learn more about the factoring by grouping;

https://brainly.com/question/11919488

#SPJ1

The mean, variance, and standard deviation of the distribution are respectively 33.8, 27.433, and 5.238 words.

The number of beans in some cocoa pond are 30, 28, 30, 35, 40, 25, 32, 36, 38 and 40. We need to calculate the mean, variance, and standard deviation of the distribution.

Mean: The sum of all numbers divided by the number of elements is called the mean.

Here n=10

Now we calculate the variance of the given data set

Variance: The variance is the average of the squared deviations from the mean.

Here n=10

Now we can find the standard deviation of the given data set

Standard deviation:

The square root of the variance is called the standard deviation.

Now n=10, So, the formula for the standard deviation is;

Therefore, the mean, variance, and standard deviation of the distribution are respectively 33.8, 27.433, and 5.238 words.

Learn more about: variance

https://brainly.com/question/31432390

#SPJ11

Answer:

1170

Step-by-step explanation:

45 times 26

Answer:

1170

45x26=1170

Answer:

$164

Step-by-step explanation:

→ Work out how much she could have made

20 × 8 = 160

→ Plus her petrol costs

160 + 4 = 164

The range of x values between which a zero can be found is -9/4 < x < -4.

Since x + 4 and 4x + 9 are linear factors of the quadratic expression, the quadratic expression can be written as:

Q(x) = k(x + 4)(4x + 9)

where k is some constant.

To find the values of x for which Q(x) = 0, we can set each factor equal to zero and solve for x:

x + 4 = 0 --> x = -4

4x + 9 = 0 --> x = -9/4

Therefore, the zeros of Q(x) are x = -4 and x = -9/4.

To find the range of x values between which a zero can be found, we need to determine the sign of Q(x) in each of the three intervals:

1. x < -9/4

2. -9/4 < x < -4

3. x > -4

For x < -9/4, both x + 4 and 4x + 9 are negative, so Q(x) = k(negative)(negative) = k(positive), which is positive.

For x > -4, both x + 4 and 4x + 9 are positive, so Q(x) = k(positive)(positive) = k(positive), which is also positive.

For -9/4 < x < -4, x + 4 is positive and 4x + 9 is negative, so Q(x) = k(positive)(negative) = k(negative), which is negative.

Therefore, the range of x values between which a zero can be found is -9/4 < x < -4.

Learn more about quadratic equations:

brainly.com/question/30098550

#SPJ4

Answer:

Area cover by solar panel to face = 9,600 feet²

Step-by-step explanation:

Given:

Length of Solar panels = 240 feet

Width of Solar panels = 40 feet

Find:

Area cover by solar panel to face

Computation:

Area of rectangle = Length × Width

Area cover by solar panel to face = Length of Solar panels × Width of Solar panels

Area cover by solar panel to face = 240 × 40

Area cover by solar panel to face = 9,600 feet²

Answer:

Area cover by solar panel to face = 9,600 feet², The panels are about 340 feet Long, and 40 feet Wide. The area of this rectangle is a Length x Width.

Step-by-step explanation:

I don't really know if this helps, but If you use it change some words since this is what I wrote, or because we might have the same school districts, I don't want any trouble.. But if you need help understanding a bit more, ask me! ^.^

If this does help: Your welcome, bubs <3

Looking at the graph, we can see that it's always crescent, that means when x increases, y also increases.

Also, we can see that when x approaches minus infinity, the graph approaches the x-axis, that means the value of y approaches 0.

Also, when x approaches infinity, the values of y increases towards infinity as well.

Finally, when x approaches 0, the value of y approaches 2 units (where the graph intersects the y-axis).

Therefore, the correct sequence of answers is:

No, Yes, No.

The average speed of the airplane which travels the given distance and time is 400mph.

Speed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.

It is expressed as;

s = distance / time = d / t

Given the data in the question;

To determine the average speed of the airplane, we substitute our given values into the expression above.

s = d / t

s = 1000mi / 2.5hrs

s = 400mph

Therefore, the average speed of the airplane which travels the given distance and time is 400mph.

Learn more about Speed and Velocity here: https://brainly.com/question/10566304

-13+4x

Step-by-step explanation:

Determine the opposite number of -4x +13 :

⬇️

-13 + 4x

The difference in perimeter between Rory's castle and Mike's castle is 16 feet. Rory's castle has a perimeter of 52 feet (10 feet + 10 feet + 16 feet + 16 feet), and Mike's castle has a perimeter of 24 feet (6 feet + 6 feet + 6 feet + 6 feet).

for more questions related to perimeters, refer here:

https://brainly.com/question/6465134#

#SPJ11

The difference between the perimeters of these two castles is 28 ft.

Rory’s castle measures 10 feet by 16 feet and has a perimeter of 52 ft and Mike’s castle is 6 feet by 6 feet. Now, we are going to find the difference between the perimeters of these two castles.

The perimeter of a rectangle can be found by adding all the sides of a rectangle. Therefore, the formula of the perimeter of a rectangle is:

Perimeter of a rectangle = 2 × (Length + Breadth)

Length of Rory’s castle = 16 ft,       Breadth of Rory’s castle = 10 ft

Perimeter of Rory’s castle = 2 × (Length + Breadth) = 2 × (16 + 10) ft

= 2 × 26 ft= 52 ft

Therefore, the perimeter of Rory’s castle is 52 ft.

Length of Mike’s castle = 6 ft,         Breadth of Mike’s castle = 6 ft

Perimeter of Mike’s castle = 2 × (Length + Breadth) = 2 × (6 + 6) ft

= 2 × 12 ft = 24 ft

Therefore, the perimeter of Mike’s castle is 24 ft.

.Difference between the perimeters of these two castles= Perimeter of Rory’s castle − Perimeter of Mike’s castle

= 52 − 24= 28 ft

Therefore, the difference between the perimeters of these two castles is 28 ft.

To learn more about perimeter refer :

https://brainly.com/question/15401834

#SPJ11

There is a 75.40% chance that the sample mean X will be more than 0.5 away from the population mean μ.

Let X be the random variable representing the sample mean of a random sample of size 36 selected from a population with mean μ=44 and standard deviation σ=8.

The Central Limit Theorem (CLT) states that, under certain conditions, the distribution of the sample mean X can be approximated by a normal distribution with mean μ and standard deviation σ/√(n), where n is the sample size. Since the sample size is 36, we can use this approximation.

The probability that X is more than 0.5 away from the population mean can be calculated as follows:

P(|X-μ| > 0.5) = P((X-μ)/ (σ/√(n)) > (0.5) / (σ/√(n))) + P((X-μ)/ (σ/√(n)) < (-0.5) / (σ/√(n)))

Using the standard normal distribution table, we can find the corresponding probabilities for each term on the right-hand side of the equation. We have:

P(Z > 0.3125) + P(Z < -0.3125)

where Z is a standard normal random variable with mean 0 and standard deviation 1.

Using the standard normal distribution table, we can find that P(Z > 0.3125) = 0.3770 and P(Z < -0.3125) = 0.3770.

Therefore, the approximate probability that X will be more than 0.5 away from the population mean is:

P(|X-μ| > 0.5) = 0.3770 + 0.3770 = 0.7540

In terms of percentage, we can rewrite it as,

P(|X-μ| > 0.5) = 0.7540*100 = 75.40%

To learn more about probability click on,

https://brainly.com/question/15022620

#SPJ4

Answer:

Step-by-step explanation:

We know the diagonals of a parallelogram bisect each other.

If O is the point of intersection of diagonals, AC is split into AO and OC.

Since AO = OC, the length of AC is: