teresa says the two expressions below are equivalent: 2(5x-3) + 6x and 16x -3 is teresa correct? Explain why or why not

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

1

Step-by-step explanation:

SAS is one of the methods to define congruent triangles. When two sides and the angle between these two sides are specified, the triangle has been defined certainly.

Answer:

1

Step-by-step explanation:

becasue

Answer: x-9

Step-by-step explanation: You can rewrite that to get 4/3x-1/3x-5-4

That simplifies to x-9

Answer:

I can't understand the language but try people who can

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer + Step-by-step explanation:

\(\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5\)

\(\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}\)

_______________________

\((4^8)^3 = a^{8 \times 3}=a^{24}\)

\(\text{used property :} \ \ \ (a^n)^m = a^{n \times m}\)

_______________________

\(10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}\)

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

Recall : If a ≠0  ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0  ⇒ (6⁸)⁰ = 1  

The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

C

Step-by-step explanation:

looked up on Quizlet so yeah

Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans

A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.

Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.

If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:

(4/9) x 2,100 = 933.33

We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.

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Answer:

0.5361

Step-by-step explanation:

Hope this helps :)

Answer:

0.325

Step-by-step explanation:

Divide 26 by 80

Answer: is A

Step-by-step explanation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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Answer:

y=60x

Step-by-step explanation:

i did it on edg2020

Answer:

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

Based on the total costs of buying at the two stores, it is not worth the extra drive going to the store across town.

The total costs for buying 5 pounds of chicken at each store are added to the total gas costs to and from each location to determine the total costs of each option.

Based on the cost difference of $1 ($18.34 - $17.34), it is not advisable to travel across town just for 5 pounds of chicken, especially when you factor in the wear and tear of the car along the distance and the time difference.

The cost of a pound of chicken at a neighborhood store = $2.99

The cost of a pound of chicken at the store across town = $3.29

The number of pounds of chicken required = 5 pounds

The distance to and from the neighborhood store = 4.6 miles (2.3 miles x 2)

The distance to and from the store across town = 17.6 miles (8.8 miles x 2)

The total time to and from the neighborhood store = 14 minutes (7 x 2)

The total time to and from the store across town = 42 minutes (21 x 2)

The time difference = 28 minutes.

Car's mileage per gallon = 19 mpg

The cost of gas per gallon = $3.66

The total cost of buying at the neighborhood store = $17.34 ($3.29 x 5 + $3.66 x 4.6/19)

The total cost of buying at the store across town = $18.34 ($2.99 x 5 + $3.66 x 17.6/19)

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Answer:

Sure, the 7th pattern of the sequence of square numbers is:

1, 4, 9, 16, 25, 36, 49, ...

To illustrate this pattern, we can draw squares with each side equal to the next number in the sequence, starting with a square of side length 1. The first square would have an area of 1 square unit, the second square would have an area of 4 square units, and so on. Here is a visual representation of the first seven squares in the sequence:

+---+ +----+

| 1 | | |

+---+ | |

+----+

+---+ +----+

| | | |

| | | |

+---+ +----+

| |

| |

+----+

+---+ +----+

| | | |

| | | |

+---+ +----+

| |

| |

+----+

+---+ +----+

| | | |

| | | |

+---+ +----+

| |

| |

+----+

+---+ +----+

| | | |

| | | |

+---+ +----+

| |

| |

+----+

+---+ +----+

| | | |

| | | |

+---+ +----+

| |

| |

+----+

+---+ +----+

| | | |

| | | |

+---+ +----+

| |

| |

+----+

The pattern continues on with the next square having a side length of 8 units, and an area of 64 square units.

The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

Answer:

same

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

This equation requires simplifying. We start with moving like terms to each other:

3 + 9 = 4/3x + 2/3x

After this, add the like terms together:

12 = 6/3x

6/3 will simplify into 2:

12=2x

Finally, divide both sides by 2:

6=x

Answer:

so first we have to make it to y- intercept form

5x + 3y = 7

3y = 7 -5x since we moved to the other side of the equal sign it turns negative

now divide both sides by 3 becuase y needs to have no number in front of it

3y divided by 3

7 divided by 3

-5 divided by 3

now its y = 7/3 - 5/3x

now we need to reorder the terms so its y = mx + b

y = -5/3x + 7/3 or 2.3

mx equals slope so -5/3 is the slope

Step-by-step explanation:

Answer:

−5/3

Step-by-step explanation:

Parallel lines have the same slope. So to find the parallel line you must first find the slope of the original line. Do this by putting the equation into slope-intercept form. Once the equation is in the slope-intercept form it is, \(y=-\frac{5}{3}x+\frac{7}{3}\). Therefore, the correct answer is −5/3.

Answer:

Tim is 12 years

Step-by-step explanation:

Given that Zac is 18 years old and Tim's age is 2/3 Zac's age, to compute Tim's age, we would multiply Zac's age with the fraction.

Such that;

Tim's age = 2/3 * 18

= 2* 18/3

= 2 * 6

= 12 years

Hence Tim is 12 years old.

The likelihood of randomly selecting a chocolate chip cookie from the batch is unlikely

From the question, we have the following parameters that can be used in our computation:

P(chocolate chip) = 0.25

Probability values less than 0.5 are unlikely

0.25 is less than 0.5

This means that the likelihood is unlikely

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Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

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Answer:

1 1/4

Step-by-step explanation:

here is the exact form if your looking for that. :)

5/4

and heres the decimal form if you are looking for that :>

1.25

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

The equivalent expression to 4y²(6x³ + 4xy + 3y) is 24x³y² + 16xy³ + 12y³  

A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression.

In general, something is considered equal if two of them are the same. Similar to this, similar expressions in mathematics are those that hold true even when they appear to be different.

However, both forms provide the same outcome when the values are entered into the equation.

Here we have  

4y²(6x³ + 4xy + 3y)  

Simplify the given expression as follows

=> 24x³y² + 16xy³ + 12y³  

Therefore,

The equivalent expression to  4y²(6x³ + 4xy + 3y) is 24x³y² + 16xy³ + 12y³  

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Answer:

A placebo is a pill with no active ingredients that looks like the hormone pill.

Step-by-step explanation:

The experiment was double-blind. Blind means that women did not know if they were receiving hormones or the placebo. Double-blind means that the information was coded, so researchers administering the pills did not know which treatment the women received. After 5 years, the group taking hormones had a higher incidence of heart disease and breast cancer. This is exactly the opposite result from the result found in the observational studies. In fact, the differences were so significant that the researchers ended the experiment early. The National Institutes of Health declared that the observational studies were wrong. Hormone replacement therapy to treat menopausal symptoms is now rarely used.