9. Mrs. Ferreria asked her students to write a number in scientific notation that is greater that
500 but less than 5,000. Circle the name of any student who correctly completed the task.
——
Justice: 5.25^3
Blaire: 6.1 x 10^3
Denzel: 5.78 x 10^2
Piper: 3.5 x 10^3

The UCL (Upper Control Limit) using sigma = 3 for this process would be 30. The UCL utilizing sigma=3 for this process would be 28.036.

In statistical process control, the upper control limit (UCL) is utilized as a device to identify when to stop a process due to a high variation.

A process that exceeds its UCL will result in defective or inconsistent items, which should be avoided.

Marble Inc. produces high-end countertops from a variety of materials. The company employs the process of randomly selecting one countertop to count the number of blemishes as a means of monitoring the quality of its production processes.

The formula for calculating UCL is as follows: UCL = average of blemishes + 3 × standard deviation For ten samples with a different number of blemishes in each sample, the UCL is determined.

Using the given formula for UCL using sigma= 3: UCL = (2+3+4+5+6+7+8+9+10+17)/10 + 3 × √[(2-9.1)² + (3-9.1)² + (4-9.1)² + (5-9.1)² + (6-9.1)² + (7-9.1)² + (8-9.1)² + (9-9.1)² + (10-9.1)² + (17-9.1)²]/10UCL = 28.036

From the above calculations, the UCL utilizing sigma=3 for this process would be 28.036.

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m=24=+(-9,1,3

        3

Step-by-step explanation:

Substitute n=3,\pm 1n=3,±1 into 3m-9n=243m−9n=24

Solve for mm in 3m-(-9,1,3)=243m−(−9,1,3)=24

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

the missing numerator is 4 and denominator is 4

8/14 In simpliest form is 4/7

Step-by-step explanation:

4/14+4/14=8/14

8 divded by 2=4 14 divded 2=7

The Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

What is Boolean expression?

A Boolean expression is an expression or equation that evaluates to true or false. It includes the use of logical operators such as AND, OR, and NOT, as well as comparison operators such as equal to (=), greater than (>), less than (<), and more.

The Boolean expression that is not equivalent to the expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

Let's break down each option and evaluate its equivalence to the given expression:

A. (num < 0) AND (num * -1 = 10)

This expression checks if "num" is negative and if the absolute value of "num" is equal to 10. It does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

B. (num < -10) OR (num = -10)

This expression checks if "num" is less than -10 or if "num" is exactly equal to -10. It also does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

C. (num * -1 > 10) OR (num = -10)

This expression checks if the negative value of "num" is greater than 10 or if "num" is exactly equal to -10. Although it involves the negative value of "num," it represents the condition "num * -1 > 10" when "num" is positive. Therefore, it is equivalent to the given expression.

D. NOT num * -1 < 10

This expression checks if the negative value of "num" is not less than 10. While it involves the negative value of "num," it does not directly represent the condition "num * -1 ≥ 10." Additionally, the use of "NOT" operator flips the condition, which makes it different from the original expression. Hence, it is not equivalent.

Therefore, the Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

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2 4/7

1) Let's turn those mixed numbers into improper fractions, to make our calculations easier:

2) Now let's divide those improper fractions, reciprocating the second one and multiplying it by the first one:

3) Hence, we can write that the quotient of that division 4 1/2 by 1 3/4 is equal to 18/7. To turn it into a Mixed Number let's divide 18/7 and write our Mixed Number equivalent to 18/7:

Answer:

$24

Step-by-step explanation:

Since 32 divided by 4 equals 8, and 8 times 3 equals 24, if Jo makes $32 profit on the first item they sell, Leila will make $24 profit.

I hope this helps you :D

Using the Empirical Rule, it is found that the interval of hours that represents the lifespan of the middle 99.7% of light bulbs is (1390, 1810).

It states that, for a normally distributed random variable:

The middle 99.7% is within 3 standard deviations of the mean, hence:

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95%

Explanation: 19 x 5

Answer:

Step-by-step explanations:

Answer:

r > 0 should be your answer

0 , and that infinity symbol (i cant find it :/)

Answer:

61 is the mean and the range is 19

Step-by-step explanation:

trust

Mean = \(60.1\) and Range = \(19\)  for the given set of data.

"Mean is the average set of all the given values."

"Range is the difference between highest and the lowest value."

Formula

Mean = \(\frac{Sum of all the observations}{Total number of observations}\)

Therefore, Mean = \(\frac{49 + 50 +52 +58 +61 +63 +66 +67 +67 +68}{10}\)

                            = \(\frac{601}{10}\)

                            = \(60.1\)

Range = Max (x) - Min (x)

            =  \(68 - 49\)

            = \(19\)

Hence, the Mean = \(60.1\) and Range = \(19\) for the given data set.

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The given statement "For a sample with a standard deviation of s = 8, a score of x = 42 corresponds to z = -0.25. The mean for the sample is m = 40." is False because the calculated z-score does not match the given value.

To calculate the z-score, we use the formula z = (x - m) / s, where x is the score, m is the mean, and s is the standard deviation. Substituting the given values, we have z = (42 - 40) / 8 = 0.25. However, the given statement states that the z-score is -0.25, which is incorrect. Therefore, the statement is false.

The correct z-score for x = 42 with a mean of m = 40 and standard deviation of s = 8 is 0.25, not -0.25.

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The first four terms of an arithmetic sequence are 5, 9, 13, 17 and the nth term formula of this sequence is 4n+1.

To find the expression for the (n-1)th term, we need to substitute (n-1) into the nth term formula.

So, the nth term formula is 4n+1.

Substituting (n-1) for n, we get:

4(n-1)+1 = 4n-3

Therefore, the expression for the (n-1)th term of an arithmetic sequence is 4n-3.

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To calculate the receivable days, divide the trade receivables (RM63,000) by the average daily sales (RM1,400) to get approximately 45 days.



To calculate the receivable days, we need to determine the average daily sales and then divide the trade receivables by that figure.

First, we calculate the average daily sales by dividing the total sales by the number of days in the year:

Average daily sales = Total sales / Number of days

Since the year ended on 30th June 2019, there are 365 days in total.

Average daily sales = RM511,000 / 365 = RM1,400

Next, we divide the trade receivables by the average daily sales to find the receivable days:

Receivable days = Trade receivables / Average daily sales

Receivable days = RM63,000 / RM1,400 ≈ 45 days

Therefore, Alice's receivable days on 30th June 2019 is approximately 45 days.

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Answer:

Pyramid

Step-by-step explanation:

I think it's called a pyramid

Answer:

question wdym by links?

Step-by-step explanation:

Answer:

10.47

Step-by-step explanation:

2.49+2.49+2.49+.75+.75+.75+.75=10.47

Answer:

A = 80

Step-by-step explanation:

A = b*h

A = 5 * 16

80 = 5 * 16

Answer:

80 in.^2

Step-by-step explanation:

area of parallelogram= base*height

= 16*5

= 80

X - (-20) = 5

When you subtract a negative, change it to addition:

X + 20 = 5

Subtract 20 from both sides:

X = -15

Answer:

\(\boxed{x=-15}\)

Step-by-step explanation:

\(x-(-20)=5\)

\(\sf Distribute \ negative \ sign.\)

\(x+20=5\)

\(\sf Subtract \ 20 \ from \ both \ sides.\)

\(x+20-20=5-20\)

\(x=-15\)

The total miles of distance car travels approximately 252 feet during 5 blink cycles.

Frequency of the blink cycle = 1.6 Hz

Speed of the car = 55 miles per hour

To calculate the distance traveled by the car during 5 blink cycles,

Determine the distance covered in one blink cycle and then multiply it by the number of cycles.

First, find the distance covered in one blink cycle.

Distance covered in one blink cycle = Speed × Time

Since the frequency is given in cycles per second,

calculate the time for one cycle as the reciprocal of the frequency,

Time for one blink cycle = 1 / Frequency

⇒Time for one blink cycle = 1 / 1.6 seconds

Next, convert the speed of the car from miles per hour to feet per second to match the time unit,

Speed of the car

= 55 miles per hour

= 55 × 5280 feet / 3600 seconds (conversion factor: 1 mile = 5280 feet, 1 hour = 3600 seconds)

= 80.6667 feet per second (rounded to four decimal places)

Now, calculate the distance covered in one blink cycle,

Distance covered in one blink cycle = Speed × Time for one blink cycle

⇒Distance covered in one blink cycle = 80.6667 feet per second × (1 / 1.6 seconds)

⇒Distance covered in one blink cycle = 50.4167 feet (rounded to four decimal places)

Finally, the distance traveled during 5 blink cycles by multiplying the distance covered in one cycle by the number of cycles,

Distance traveled during 5 blink cycles

= Distance covered in one blink cycle × Number of cycles

= 50.4167 feet × 5

≈ 252.0835 feet

≈ 252 feet Rounded to the nearest whole foot.

Therefore, the miles travel by car during 5 blink cycles is equal to  252 feet.

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Answer:

10

Step-by-step explanation:

2x2 - 3x

2x2 - 3(-2)

-3x-2 = 6

4+6=10

Maricella has 4 quarters and 31 nickels in her bag.

Let's use the given terms and set up a system of equations to solve this problem:
Let n = number of nickels
Let q = number of quarters
We know two things:
There are 35 coins in total, so n + q = 35.
The total value is less than $2.75, so 0.05n + 0.25q < 2.75
Now let's solve the system of equations:
Solve the first equation for n:
n = 35 - q.

Substitute this expression for n into the second equation:
0.05(35 - q) + 0.25q < 2.75
Distribute the 0.05 to the terms inside the parentheses:
1.75 - 0.05q + 0.25q < 2.75
Combine like terms:
0.20q < 1
Divide by 0.20:
q < 5
Since q must be a whole number (as it represents the number of quarters), the highest possible value for q is 4.

Now we need to find the number of nickels.
Step 6: Substitute q = 4 back into the equation for n:
n = 35 - q
n = 35 - 4
n = 31.

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Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

y^4

Step-by-step explanation:

Exponential laws state that you subtract the exponents when dividing (5-3=2) and you add when multiplying (2x2)

giving you y^4

The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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Variable: Highest educational degree completed

Type of variable: Categorical

Level of measurement: Ordinal

Variable: Price (in dollars) of a shirt on the clearance rack

Type of variable: Quantitative

Level of measurement: Ratio

Variable: Temperature (in degrees Celsius)

Type of variable: Quantitative

Level of measurement: Interval

The variable "Highest educational degree completed" is a categorical variable because it represents different categories or levels of education. The categories include less than a high school diploma, high school diploma, two-year college degree, four-year college degree, and graduate degree. It is considered an ordinal level of measurement because there is a clear order or ranking among the categories, indicating a progression of education.

The variable "Price (in dollars) of a shirt on the clearance rack" is a quantitative variable because it represents a numerical measurement of the price. It can take on different values and can be measured and compared numerically. It is a ratio level of measurement because it has a meaningful zero point (i.e., the absence of price) and allows for ratios to be calculated (e.g., one shirt is twice the price of another).

The variable "Temperature (in degrees Celsius)" is also a quantitative variable as it represents a numerical measurement of temperature. It is measured on a continuous scale and can take on different values. It is an interval level of measurement because it does not have a true zero point (i.e., zero degrees Celsius does not represent the absence of temperature) and only allows for comparisons of differences in temperature.

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In summary, 'Highest educational degree completed' is a categorical, ordinal variable, 'Price (in dollars) of a shirt on the clearance rack' is a quantitative, ratio variable, and 'Temperature (in degrees Celsius)' is a quantitative, interval variable.

The first variable, 'Highest educational degree completed', would be considered a categorical variable, with an ordinal level of measurement because the categories have a specific order that matters. Degrees can be ranked in a specific order from least to most education.

The second variable, 'Price (in dollars) of a shirt on the clearance rack', is a quantitative variable, measured at a ratio level. This is because the price of a shirt represents a numerical value and ratio level of measurement is used when there is a defined 'zero' point, like $0.

Lastly, the 'Temperature (in degrees Celsius)' variable is also quantitative, with an interval level of measurement. The temperature represents actual numerical values, and intervals between temperatures are meaningful and the same size, but there is not a true zero point (0 degrees Celsius does not mean 'no temperature').

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The complement rule states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring. This is represented by the formula P(A) = 1-P(not A). Therefore, the correct answer to the question is option C. P(A) = 1-P(not A).

In other words, the complement rule is used to find the probability of an event occurring by subtracting the probability of the event not occurring from 1. This is useful in situations where it is easier to calculate the probability of an event not occurring rather than the probability of the event occurring.

For example, if the probability of an event occurring is 0.7, then the probability of the event not occurring is 1-0.7 = 0.3. This means that the complement rule can be used to find the probability of an event not occurring if the probability of the event occurring is known.

In conclusion, the complement rule states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring, and is represented by the formula P(A) = 1-P(not A).

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Answer:

m<B = 44

Step-by-step explanation:

Since AB is a diameter, then angle C is a right angle.

That makes angles A and B complementary angles.

m<A + m<B = 90

46 + m<B = 90

m<B = 44

Answer:

B = 44

Step-by-step explanation:

The sum of the angles of a triangle is 180

A + B+ C = 180

<C = 90 since it is 1/2 of the intercepted arc which is 180

46+ B + 90 = 180

136 + B = 180

B = 180-136

B =44

On the coordinate plane , the point which lies on the y -axis is given by option ( 0 , 9 ).

As given in the question,

On the coordinate plane :

Point which lies on the y - axis is given by :

a. ( 9 , 9 )

This coordinate lies in the first quadrant. It will not lies on any of the axis.

False.

b. ( 9 , 0 )

In this coordinate has y-,coordinate is equal to zero , it lies on the x- axis.

False.

c. ( 0 , 9 )

In this coordinate has x-,coordinate is equal to zero , it lies on the y- axis.

True.

d. ( -9 ,-9 )

This coordinate lies in the third quadrant. It will not lies on any of the axis.

False.

Therefore, on the coordinate plane the point that lies on the y-axis is

( 0, 9).

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