write the number 66,190,000 using the number word "million" and then round to one decimal place

Using z-scores, it is found that all of the values fall within 2.46 standard deviations of the mean.

The z-score of a measure X of a variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The z-score measures how many standard deviations the measure is above or below the mean.

In this problem, the farthest variable from the mean is of $29.95, hence X = 29.95 and:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{29.95 - 22.58}{3}\)

Z = 2.46.

Hence, all of the values fall within 2.46 standard deviations of the mean.

More can be learned about z-scores at https://brainly.com/question/24663213

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

Read more on linear regression here: brainly.com/question/16793283

#SPJ1

Answer:

Step-by-step explanation:

31  ,  b/c it's the most common

c 32

Step-by-step explanation:

plz follow me wenelyn andoyo duay sana makatulong ako

Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

2.5

Step-by-step explanation:

I took the test :)

Answer:

8 feet

Step-by-step explanation:

Volume = length * width * height

Substitute the values.

288 = 9 * 4 * height

Divide both sides by 36

height = 288/36

height = 8 feet

Answer:

$6,672

Step-by-step explanation:

Area of Playground

Cost

Answer:

Using π:  $6,673.27 (nearest cent)

Using π = 3.14:  $6,672

Step-by-step explanation:

Separate the figure into a rectangle and two semicircles.

Area of a rectangle = width × length

                                = 20 ft × 26 ft

                                = 520 ft²

Area of a semicircle = 1/2 π r²

                                 = 1/2 π · 10²

                                 = 50π ft²

⇒ Total area = area of rectangle + (2 × area of semicircle)

                     = 520 + (2 × 50π)

                    = (520 + 100π) ft²

⇒ Total cost = area × cost

                     = (520 + 100π) × $8

                     = $6,673.27 (nearest cent)

**using π = 3.14**

Total cost = (520 + 100 × 3.14) × $8 = $6,672

The system has a unique solution, which is (-2, 1, 1), the correct answer is (a) no solution.

What is the system of equations?

The solution set to a system of equations will be the coordinates of the ordered pair(s) that satisfy all equations in the system. In other words, those values of x and y will make the equations true.

The given matrix represents the row echelon form of the augmented matrix of a system of equations. We can use this matrix to determine the solution(s) of the system by back-substitution.

Looking at the row echelon form of the augmented matrix, we can write the corresponding system of equations:

x - 4y - 3z = -7

y - 2z = -1

5z = 5

The last equation tells us that z = 1. Substituting z = 1 into the second equation, we get y - 2(1) = -1, which gives y = 1. Substituting z = 1 and y = 1 into the first equation, we get x - 4(1) - 3(1) = -7, which gives x = -2.

So, the system has a unique solution, which is (-2, 1, 1).

Therefore, the correct answer is (a) (-2, 0, -1) is not the solution to the system, and neither is (b) an infinite number of solutions or (d) (5, -2, -1).

Hence, the system has a unique solution, which is (-2, 1, 1), the correct answer is (a) no solution.

To learn more about the system of equations visit:

https://brainly.com/question/25976025

#SPJ1

The system of equations -9x+8y = 9x and 7y+8=8x is linear.

A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.

In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).

Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).

Therefore, the system of equations is linear.

Learn more about the System of equations here:

https://brainly.com/question/12628931

#SPJ1

There are three section here

First section is the event of only E, the second is the event of only F, and the third is the event of the overlap of E and F

E or F means the total unit of events. Which is (only E)+(only F)-(E and F)

Using substitution we get 45=20+45-(E and F)

solving the equation

E and F=65-45

E and F=20

Therefore, P(E and F) is 20

I hope this helps, if you have any questions please ask!

The diagonal of the rectangular box will be 9.7 inches.

Given that:

Length, L = 3 inches

Width, W = 2 inches

Height, H = 9 inches

The diagonal of the rectangular prism is given as,

d² = L² + W² + H²

The diagonal of the rectangular box will be calculated as,

d² = 3² + 2² + 9²

d² = 9 + 4 + 81

d² = 94

d = √94

d = 9.7 inches

The diagonal of the rectangular box will be 9.7 inches.

More about the rectangular prism link is given below.

https://brainly.com/question/12649592

#SPJ1

Answer:

10,092

Step-by-step explanation:

841×12

Answer:

6/7

Step-by-step explanation:

First you just have to plug the numbers in so you get 3*-4/-2+(-12) which simplifies to -12/-14 which can be simplified to 6/7

The value of expression bd/a+c will be 6/7.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expression is ,

bd / a+c

And, The values are a=−2 , b=3 , c=−12 , and d=−4.

Now, Find the value of the expression we can substitute all the given values in the expression;

⇒ bd / a+c

⇒ 3 × (-4) / -2+(-12)

⇒ -12/-2-12

⇒ -12/-14

⇒ 12/14

⇒ 6/7

Thus, The value of expression bd/a+c will be 6/7.

Learn more about the substitution method visit:

https://brainly.com/question/2254238

#SPJ2

Answer:

99.6

Step-by-step explanation:

If it makes 24 in one minute then it makes 96 in four minutes. It also makes another 3.6 within 15 seconds.

102 copies are made after 4mins and 15 sec

It will take Adrian 16 full months to save enough money for the electric keyboard.

- Price of the keyboard (with tax) at Macelli's: $2,400
- Adrian's monthly savings: $150
We need to find how long it will take Adrian to save for the keyboard. To do this, we'll divide the total cost of the keyboard by his monthly savings and round up to the nearest full month.
Step 1: Divide the total cost by monthly savings.
Time (in months) = (Total Cost) / (Monthly Savings) = ($2,400) / ($150)
Step 2: Calculate the result.
Time (in months) = 16
So, it will take Adrian 16 full months to save enough money for the electric keyboard.

For more such questions on save , Visit:

https://brainly.com/question/18917547

#SPJ11

Answer:

2 cookies

Step-by-step explanation:

If your brother ate 5 you would subtract 5 10-5=5

then your baby sister took 3 10-3=2

There is 2 left because you subtract 5 from 10 and that leave you with 5 and then you subtract three and get 2 and that’s your answer 2

Answer: C

Step-by-step explanation:

If you look at the equation, you can see that you can cancel out a 9z³ on both sides. 9z³ is what both fractions have in common. This leaves us with 1 on the numerator on the first fraction and 2 for the denominator on the second fraction.

\(\frac{1}{16xy} *\frac{4x}{3}\)

You can also cancel out 4x since both fractions have a 4x in common. This leaves the denominator of the first equation with 4y and the numerator of the second equation with 1.

\(\frac{1}{4y} *\frac{1}{3}\)

Now, we can multiply straight across.

\(\frac{1}{12y}\)

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

To know more about interquartile range visit:

brainly.com/question/29204101

Answer:

$46.2

Step-by-step explanation:

40% is the discount.. So the new price will be 60% from old price. 60% × 77 = $46.2

Step-by-step explanation:

a- true

b- true

c- false, it can be written 4b

d- true

e- false, 5a

Answer:

A.true B.true C.False D.true E.False

We have to express the critical value of z for a 91% confidence level.

We have to consider that it consider to have two tails.

We can express it as:

We can use a table or app to find it:

This value is z = 1.6954.

Answer: z = 1.70

Answer:

10 Minutes

Step-by-step explanation:

To talk the same amount of time he would have to spend $2. So $0.20 per minute would mean that for 5 minutes it is $1, so he can have 10 minutes

Answer:

the answer is 40 divided by 10 could i get brainliest please?

Step-by-step explanation:

The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

For more such questions on absolute value , Visit:

https://brainly.com/question/12928519

#SPJ11

Answer:

-7.5

Step-by-step explanation:

\(-140=18+4(5y-2) \\ \\ -158=4(5y-2) \\ \\ -39.5=5y-2 \\ \\ -37.5=5y \\ \\ y=-7.5\)

Answer:

47.5%

Step-by-step explanation:

39/82 = .475 = 47.5%

Answer:

39 is  47.56% of 82

Step-by-step explanation:

82 is 100% since it is our output value.

divide 39 by 82 to get the answer in decimal form:

39 / 82 = 0.4756

Then  multiplied the answer from the first step by one hundred to get the answer as a percentage

0.4756 * 100 = 47.56%

If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

To learn more about rectangle click on,

https://brainly.com/question/19127628

#SPJ1

Answer:

C. I hope this helps! Have a great day.

Answer:

umm let me look at this one more time then I will answer:)

The value of m and n are 2√3 and 4√3/3 respectively.

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

There are special angles in trigonometry, examples are; 60° , 30° and 90°. This angles have exact values and can be calculated without using calculator.

Tan 60 = n/2

√3 = n/2

n = 2√3

cos 60 = 2/m

√3/2 = 2/m

m√3 = 4

m = 4/√3

= 4√3/3

Therefore the value of m and n are 2√3 and 4√3/3 respectively.

learn more about trigonometric ratio from

https://brainly.com/question/24349828

#SPJ1