Which of the following values are solutions to the inequality 3 − 4 x ≥ − 3 ? 3−4x≥−3?

The probability that the sample mean will be between 76 and 84 is 0.6827 or 68.27%.

Given: μ = 80 and σ = 12.

The central limit theorem states that the distribution of the sample means of a large enough sample size from any population will be approximately normally distributed.

First, let's calculate the standard error of the sample mean (SE):

SE = σ / √n

Plugging the values back to formula as

SE = 12 / √9

SE = 12 / 3

SE = 4

Now, the z-scores corresponding to the values 76 and 84 using the formula:

z = (X - μ) / SE

For X = 76:

\(z_1\) = (76 - 80) / 4

   = (-4) / 4

   = -1

For X = 84:

\(z_2\)  = (84 - 80) / 4

   = 4 / 4

   = 1

Using a standard normal distribution table the probabilities associated with these z-scores:

P(-1 ≤ Z ≤ 1) = 0.6827

So, the probability is 0.6827 or 68.27%.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ12

Answer:

B

Step-by-step explanation:

4(-2)-8 = -16, so not C
4(-1)-8 = -12, so not A or D
4(0)-8 = -8, so not D
4(1)-8 = -4, so not A or D
4(2)-8 = 0, so not D

Answer:

2a + 3 = 5a

8a - 12 = -4a

5a + 5a + -4a + -4a

10a + -4a + -4a

2a

The equation of the line with given coordinates in slope intercept form is given by y = 6x.

Use the slope-intercept form of the equation of a line,

y = mx + b,

where m is the slope of the line

And b is the y-intercept.

The slope of the line is equals to,

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points on the line.

Using the coordinates (-3, -18) and (3, 18), we get,

⇒m = (18 - (-18)) / (3 - (-3))

⇒m = 36 / 6

⇒m = 6

So the slope of the line is 6.

Now we can use the slope-intercept form of the equation of a line .

Substitute in the slope and one of the points, say (-3, -18) to get the y-intercept,

y = mx + b

⇒ -18 = 6(-3) + b

⇒ -18 = -18 + b

⇒ b = 0

So the y-intercept is 0.

Putting it all together, the equation of the line in slope-intercept form is,

y = 6x + 0

⇒ y = 6x

Therefore, the slope intercept form of the line is equal to y = 6x.

Learn more about slope intercept form here

brainly.com/question/19241768

#SPJ4

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

for such more question on simplified

https://brainly.com/question/11680269

#SPJ8

Answer:

1. Dogs are generally heavier than the cats.

2. The dogs have a much larger variety in their weights and size than cats.

Step-by-step explanation:

Answer:

Hi! The answer is \(1.5\)

Step-by-step explanation:

\(Kelly + Matt + Bo = 3\)

\(3, People / 2, Pizzas\)

\(3/2 = 1.5\)

\(1.5, Pizzas\)

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer: Yes

Step-by-step explanation:

Yes area should be right because you are finidng how much it covers which would be area. A way I used to remember it was you looking for the AREA it covers so that awnser is area! Hope that helped!

Answer:

Y/6 = x

Step-by-step explanation:

Y = 6x

Y/6 = x

Answer:

a = 2b - z

Step-by-step explanation:

2(z+a) = 4b

z + a = 4b/2

z + a = 2b

a = 2b - z

Answer:4.12

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

Answer:

  y +3 = 5(x +2)

Step-by-step explanation:

You want the equation of a line with slope 5 through the point (-2, -3).

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y +3 = 5(x +2) . . . . . . line with slope 5 through point (-2, -3)

__

Additional comment

This can also be written as ...

  y = 5x +7 . . . . . . . . . subtract 3 and simplify

<95141404393>

Answer:

the 2nd answer is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{y}{x}\sqrt{\frac{1}{2y}}\\ \\ \frac{y}{x\sqrt{2y}}\\ \\ \text{We can rationalize the denominator by multiplying the numerator and denominator by }\sqrt{2y}\\ \\ \frac{y\sqrt{2y}}{x\sqrt{2y}\sqrt{2y}}\\ \\ \frac{y\sqrt{2y}}{2xy}\\ \\ \frac{\sqrt{2y}}{2x}\)

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

For more such questions on Logarithm:

https://brainly.com/question/31117877

#SPJ8

Answer: All real numbers

Step-by-step explanation:

Edge

Answer:

Step-by-step explanation:

I'm pretty sure its the number 4! That's where the angle is!

Answer:

4

Step-by-step explanation:

because as you can see in the picture

I hope this helps you!

Answer: 1

x(3−2)(2−5)=3

Step 1: Simplify both sides of the equation.

−3x=3

Step 2: Divide both sides by -3.

x=1

Answer:

4, 5, 6

Step-by-step explanation:

x>3.75

The margin of error for the population mean is 5.601

What does the term "margin of error" mean?

Your results will deviate by how many percentage points from the actual population value, according to your margin of error. It is described as a very small percentage that is allowed for error in calculations.

Given c = 0.95

The significance level is obtained as follows:

alpha = 1 - c

alpha = 1 - 0.95

alpha = 0.05

Also, it is given that n = 150 and sigma = 35 .

The critical value of Z distribution at 0.05 level of significance can be computed in MS Excel using + NORMS INV (alpha/2) function as follows:

Thus, \(Z_{0.005/2}=1.96\)

Now, the margin of error can be computed as follows: ME = Critical Value x Standard Error

\(Z_{0.005/2}*\frac{sigma}{\sqrt{n} } \\= 1.96 * \frac{35}{\sqrt{150} } \\= 5.601\)

Thus, the margin of error for the population mean is 5.601

Learn more about margin of error

https://brainly.com/question/10218601

#SPJ4

Answer:

16 boxes

Step-by-step explanation:

94+37=131

131/8=16.375

This means that the most possible boxes that they can fill is 16 boxes

Answer:

They can completely fill 16 boxes

Step-by-step explanation:

94 + 37 = 131

131/8 = 16.375

So that is 16 completely filled boxes and one box with .375 (3 muffins)

The final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them.

Let's clarify the itinerary for the 15-day tour visiting 5 national parks.

You have a 15-day tour, and you plan to visit 5 national parks. Each park will have a stay of two days.

When you multiply the number of parks (5) by the number of days spent in each park (2), you get a total of 10 days allocated for staying in those 5 parks.

However, there seems to be a discrepancy in the calculation because allocating 10 days for park stays leaves only 5 days remaining, not 15.

To resolve this issue and ensure a 15-day tour, we need to reevaluate the itinerary. Let's assume you want to spend two days at each park, which gives you a total of 10 days for park stays.

To fill the remaining 5 days, you have a few options:

1. Travel Days: You can allocate a day for travel between each park, which would require an additional 4 days. This accounts for the transportation time and allows you to enjoy the journey between the parks.

2. Additional Park Visits: If there are other nearby national parks or attractions in the area, you can extend your tour to include visits to these places. This would allow you to explore more diverse locations and make the most of your 15-day tour.

3. Rest and Relaxation: Alternatively, you might choose to use the extra days for relaxation or leisure activities. You can spend some time enjoying the amenities and attractions available near the parks, such as hiking trails, wildlife observation, or local cultural experiences.

Ultimately, the final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them. Make sure to consider travel times, desired activities, and any additional locations you wish to explore when creating your 15-day tour.

Learn more about number here:

https://brainly.com/question/24908711

#SPJ11

Paying a bill amount through the mail without check is convenient and secure, as it allows for payment without having to visit a physical location or use a credit or debit card.

1. Paying a bill amount through the mail without check is a convenient and secure way of making payments.

2. It allows for payment to be made without having to visit a physical location to do so.

3. It also allows for payment to be made without having to use a credit or debit card.

4. Therefore, an advantage of paying a bill through the mail without check is that it is convenient and secure.

Paying a bill through the mail without check is convenient and secure, as it allows for payment without having to visit a physical location or use a credit or debit card.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Answer:

61

Step-by-step explanation:

180 - 58 = 122

122÷2 = 61 because it's a and isoslecs triangle

Answer:

A

Step-by-step explanation:

x² - 12x + 35

consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

the factors are - 5 and - 7 , since

- 5 × - 7 = + 35 and - 5 - 7 = - 12 , then

x² - 12x + 35 = (x - 5)(x - 7) ← in factored form

The missing number in the data set 82, 87, ?, 77, 70, 80, 88 is 81, based on the given

median

value.

To find the missing number in the given data set, we need to first arrange the numbers in

ascending

order

. The given data set is:

70, 77, 80, 82, 87, 88

Since the median is the middle value in a sorted data set, we can see that the

missing number

will be the median. In this case, the median is given as 81.

To find the missing number, we need to determine where 81 would fit in the ordered list. Looking at the given data set, we can see that 81 would fall between 80 and 82.

Arranging the numbers with the missing value:

70, 77, 80, 81, 82, 87, 88

So, the missing number is 81.

To further understand this concept, let's consider the definition of the median. The median is the middle value in an ordered data set. If there is an odd number of values, the median is the middle value. If there is an even number of values, the median is the

average

of the two middle values.

In this case, we are given that the median is 81. Since the number of values in the data set is

odd

, we know that the missing number must be the median. By arranging the data set in ascending order, we can determine where 81 fits, and it falls between 80 and 82.

Therefore, the missing number in the given data set is 81.

Learn more about

median

at: brainly.com/question/1157284

#SPJ11

The rate at which Alicia is riding is 10 miles per hour.

According to the information provided, Alicia rides for 4 hours and is 42 miles from her house. After riding for 7 hours, she is 72 miles away. Let us denote the rate or speed at which Alicia is riding by `r` miles per hour. Therefore, Alicia's rate is:

(72 - 42)/(7 - 4) = 10 miles per hour.

We are supposed to check whether the solution makes sense. Alicia rode for 7 - 4 = 3 hours. At 10 miles per hour, she should have traveled 3 × 10 = 30 miles. She was initially 42 miles from home, and so she should have traveled 42 + 30 = 72 miles.

As given, the distance covered by her in 7 hours is 72 miles. So the solution is correct. Therefore, the rate at which Alicia is riding is 10 miles per hour.

Learn more about Speed:

https://brainly.com/question/27888149

#SPJ11

The level of measurement for the data collected on students' eye color in the survey is categorical or nominal.

Categorical or nominal level of measurement refers to data that can be categorized into distinct groups or categories without any inherent order or numerical value. In this case, the different eye colors (e.g., blue, brown, green, hazel) are distinct categories without any inherent order or numerical value associated with them.

When conducting surveys or collecting data on eye color, individuals are typically asked to select from a predetermined list of categories that represent different eye colors. The data obtained from such surveys can only be classified and counted within those specific categories, without any meaningful numerical comparisons or calculations between the categories.

Therefore, the data collected on eye color in the given survey would be considered as categorical or nominal level of measurement.

To know more about categorical, refer here:

https://brainly.com/question/30898467

#SPJ4

(a), The equation of the line that is perpendicular to this line and passes through the point (7, 6) is y = 7/8x - 1/8.

(b), The equation of the line that is parallel to this line and passes through the point (7, 6) is y = -8/7x - 1/8

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the equation is -8x - 7y = 1.

a) For perpendicular lines the slope will be inverse and opposite of the given equation.

y = mx + c

-8x - 7y = 1.

y = -8/7x - 1/7

The equation can be written as,

y = -8/7x - 1/7

6 = ( 7/8 ) x ( 7 ) + c

c = ( -1 / 8 )

The equation can be written as,

y = 7/8x  - 1/8.

b) For the parallel lines the slope will remain the same,

y = -8/7x - 1/7

y = -8/7x + c

6 = (-8/7 x 7 ) + c

c = 6 + 8

c = 14

The equation can be written as,

y = (-8/7)x + 14

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ1