Find the product. Write your answer in descending order with respect to the power c
(n-p)² (n+p)

A battery having a life span that is more than 2065 hours is considered rare and unusual.

A) The life span of a battery is normally distributed, with a mean of 2000 hours and a standard deviation of 30 hours. We need to find the percentage of batteries that have a life span that is more than 2065 hours.

Therefore, the first step is to find the z-score.

z = (x - μ) / σ

= (2065 - 2000) / 30 = 2.1667

We need to find the area to the right of the z-score, which can be found using a standard normal distribution table or calculator.

Using a standard normal distribution table or calculator, we can find that the area to the right of the z-score of 2.1667 is 0.0150.

Therefore, approximately 1.50% of batteries have a life span that is more than 2065 hours.

B) A battery having a life span that is more than 2065 hours would be considered unusual because it is more than two standard deviations away from the mean.

According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean, which means that only about 5% of the data falls outside of this range.

Therefore, a battery with a life span that is more than 2065 hours is considered unusual because it falls in the tail end of the distribution, beyond two standard deviations from the mean.

Additionally, the probability of a battery having a life span of more than 2065 hours is only about 1.50%, which is a low probability.

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Answer:

Catherine is correct!

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

exterior angle property of triangle

64+33 equals 97

in other ways

By Angle sum property of triangle, the measure of 3rd angle is 83 and

angle 1 and 3rd angle are supplementary

so,

180 - 83 = 97

Answer:

Step-by-step explanation:

A triangle has two angles that are 33 degrees and 54 degrees. What is the third angle?

the sum of the interior angles in a triangle is 180°

remove the known angles from 180 and find the unknown angle

180 - 33 - 54 = 93°

Answer:

93°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

Two of the angle measures are stated as 54° and 33° in this specific triangle.

Now, to find the missing angle, we need to add these measures up and subtract it from 180:

33° + 54° + x = 180°

87° + x = 180°

x = 93°

For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.

The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).

Here, the population standard deviation, and level of significance are the same.

As the margin of error increased.

So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size

\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)

As the margin of error is in the denominator position in the sample size formula

Hence with an increase in the margin of error sample size decreases.

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Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Vertical Axis: The vertical extent ranges from the maximum to the minimum points of the two periods. In the case of f(x) = sin(x), the range would be -1 to 1.

To show two periods of the function, an appropriate viewing rectangle would be the one that ranges from one point of one period to the corresponding point of the second period, and the vertical extent ranges from the maximum to the minimum points of the two periods.

For example, we want to graph the function f(x) = sin(x) over the interval [0, 6π].

To show two periods of the function in this interval, we must first determine the period of the function.

In this case, the period of the sine function is 2π.

Therefore, we can graph two periods of the function by using a viewing rectangle that ranges from 0 to 4π on the horizontal axis (one point of the first period to the corresponding point of the second period) and ranges from -1 to 1 on the vertical axis (the minimum and maximum points of the two periods).

So, an appropriate viewing rectangle to show two periods of the function would be:

Horizontal Axis: Range from one point of one period to the corresponding point of the second period. In the case of f(x) = sin(x), the range would be 0 to 4π.

Vertical Axis: The vertical extent ranges from the maximum to the minimum points of the two periods. In the case of f(x) = sin(x), the range would be -1 to 1.

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maybe the answer is 4 i don't have an computation but it feels 4

Answer:

The answer is 2, the number 2 is multiplied by 4 which equals 8. 8 is then subtracted by 5 which makes the result 3.

answer:

5-2y + (-8y) + 6.8

simplified:

11.8-10y

Step-by-step explanation:

Let's simplify step-by-step.

5−2y−8y+6.8

=5+−2y+−8y+6.8

Combine Like Terms:

=5+−2y+−8y+6.8

=(−2y+−8y)+(5+6.8)

=−10y+11.8

Description:

The first step is to simplify the first equation that is 5−2y−8y+6.8 . After that your answer will lead up to 5+−2y+−8y+6.8 . Then the last step is to Combine like terms. At the end your answer will lead up to −10y+11.8.

So 5-2y + (-8y) +6.8  = −10y+11.8

​

Answer: −10y+11.8

Hope this helps.

Answer:

y = (x + 4)² - 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Standard Form:   y = x² + 8x + 2

Step 2: Find Vertex Form

And we have our answer!

Answer:

a) y ∝ x

y = kx

k = y/x

b) y = 7/8

Step-by-step explanation:

Suppose that y varies directly with x and y = 2 when x =16

a)write a direct variation equation that relates x and y

y varies directly with x

Hence:

y ∝ x

y = kx

Where k is constant of proportionality

y = 2 when x =16

Hence:

2 = 16k

k = 2/16

k = 1/8

b) find y when x =7

y = kx

k = 1/8

x = 7

y = 1/8 × 7

y = 7/8

Out of the given differential equations, only equation 3 is separable, and equation 4 is linear. The rest are nonlinear and neither separable nor linear.

The first-order differential equation dy/dx + exy = x2y2 is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term x2y2 in the equation makes it nonlinear, and the term exy makes it non-separable.

The differential equation y + ex * sin(x) = x3y' is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term ex * sin(x) and the term y' (derivative of y) make it nonlinear, and the term y makes it non-separable.

The differential equation ln(x) - x2y = xy' is separable but not linear. The terms ln(x) and x2y make it nonlinear, but it can be separated into two parts, one containing x and y and the other containing x and y'. Therefore, it is separable.

The differential equation dy/dx + cos(y) = tan(x) is linear but not separable. The terms cos(y) and tan(x) make it nonlinear, but it can be written in the form dy/dx + P(x)y = Q(x), where P(x) = cos(y) and Q(x) = tan(x). Therefore, it is a linear differential equation.

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Answer: 1.28

Step-by-step explanation:

1. P(Z > 0.99) = 1 -Ф (0.99) = 1-0.8389 = 0.1611

2.P(Z <-0.99) = Ф(-0.99) = 0.161 (known that from [a] by symmetry)

3.P(Z <0.99) = Ф(0.99) = 0.8389

4. P(Z >0.99) = P(Z <-0.99) + P(Z > 0.99) = 2(0.1611) = 0.3222

The value z = 10.0 is out because it is too large. On comparing with the largest value, z = 3.99,

we get

5. P(Z < 10.0) > P(Z <3.99) = 1.0

6.P(Z > 10.0)<P(Z > 3.99) =10.0

7. On solving the equation

Ф(Z) = 0.9

for Z.

In Table A4, find the value of z corresponding to the probability 0.9. The  nearest value is Ф(1.28) = 0.8997. Therefore, z ≈ 1.28

Answer:

what is the question tho you didn't post it

have a good day :)

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

No. of yellow envelopes she has

= 6-2

= 4

No. of green envelopes she has

= 7×4

= 28

Total number of envelopes she has

= 6+4+28

= 38

The equivalent equation to (2/3)x - 5/6 = (-5/12)x + 1/4 is x = 13/9.

To find an equation equivalent to the given equation, we can start by simplifying both sides and rearranging the terms. Let's go step by step:

Given equation: (2/3)x - 5/6 = (-5/12)x + 1/4

First, let's eliminate the fractions by multiplying the entire equation by the least common denominator (LCD) of the fractions involved. In this case, the LCD is 12.

12 * [(2/3)x - 5/6] = 12 * [(-5/12)x + 1/4]

Simplifying:

4x - 10 = -5x + 3

Now, let's gather like terms on each side of the equation:

4x + 5x = 3 + 10

Combining like terms:

9x = 13

Finally, to isolate x, divide both sides of the equation by 9:

(9x)/9 = 13/9

x = 13/9

So, the equivalent equation to (2/3)x - 5/6 = (-5/12)x + 1/4 is x = 13/9.

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Answer:

57.77% out of 100

john's father would pick pink because pink is in less number

Answer:

25%

Step-by-step explanation:

20 divided by 8 times 100 take away the zero

percentage = part/whole x 100

Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

The probability that the new subcommittee will contain at least 2 democrats is calculated to be around 0.959 or 95.9%.

In order to calculate the probability that the new subcommittee will contain at least 2 Democrats, we can use the following steps:

Calculating the total number of subcommittees of 6 people that can be formed from the 17 members of the committee. This is given by the combination formula:

₆C ¹⁷ = 12376

Now calculating the number of subcommittees of 6 people that contain at least 1 Democrat. We can do this by subtracting the number of subcommittees with no Democrats from the total number of subcommittees:

Subcommittees with no Democrats: ₆C⁸ = 28

Subcommittees with at least 1 Democrat: ₆C ¹⁷ - ₆C⁸ = 12376 - 28 = 12348

Step 3: Calculate the number of subcommittees of 6 people that contain exactly 1 Democrat. We can do this by selecting 1 Democrat from the 9 available Democrats, and then selecting 5 Republicans from the 8 available Republicans:

₁C⁹ × ₅C⁸ = 504

Now calculating the probability that the new subcommittee will contain at least 2 Democrats. We can do this by subtracting the number of subcommittees with exactly 1 Democrat from the total number of subcommittees with at least 1 Democrat, and then dividing by the total number of subcommittees with at least 1 Democrat:

(₆C¹⁷ - ₆C⁸ - ₁C⁹ × ₅C⁸) / (₆C¹⁷ - ₆C⁸)

= (12348 - 504) / 12348

= 0.959

Therefore, the probability that the new subcommittee will contain at least 2 Democrats is approximately 0.959 or 95.9%.

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Answer:

48.3 cm is the lower and upper bound of the perimeter.

Step-by-step explanation:

For any equilateral triangle, by definition, the

lengths of the sides of the triangle are the same.

Thus, the perimeter of the triangle is 16.1 + 16.1 + 16.1 = 3(16.1) = 48.3 cm.

Thus, the upper and lower bounds are the same and are both equal to

48.3 cm.

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

Answer: You can't expect everybody to do your work for you. I thought It was 1 question and that's a whole packet. At least look it up on the internet or go ask your parents/siblings. Im not tryna be rude but If I could help you, I would but there are too many questions. Sorry.

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

hope this helps

Answer:

Angle C = 101 Degree

Angle E = 46 Degree

Step-by-step explanation:

Due to CD and FE are parallel, the adjacent angle between and DCF and angle EFC would sum up to be 180 degrees.

Angle DCF:

79 + Angle C = 180

Angle C = 101 Degree

Angle EFC:

134 + Angle E = 180 Degrees

Angle E = 46

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Answer:

points are free?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

clockwise is rotating it to the right. And then 180 rotation would cause the image to be flipped upside down

Answer: 2, 700 cubic ft.

Step-by-step explanation:

2420  + 280 = 2, 700

The formula for volume = Length x Width x Height (L x W x H)

11 x 10 x 22 = 2420

7 x 4 x 10 = 280

2420 + 280 = 2, 700

The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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The percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.The number of cookies in a shipment of bags is normally distributed, with a mean of 64 and a standard deviation of 4.

What percentage of bags of cookies will contain between 64 and 68 cookies

When X is normally distributed with mean µ and standard deviation σ, the z-score formula can be used to find the probability that X is between two values.

Z = (X - µ) / σ

First, we convert both 64 and 68 to z-scores:

Z for 64 cookies = (64 - 64) / 4 = 0Z for 68 cookies = (68 - 64) / 4 = 1

Next, we find the probability that X is between these two z-scores using a standard normal distribution table or calculator:

Prob (0 < Z < 1) = 0.3413 - 0.5(0) - 0.159

= 0.1823

So, the percentage of bags of cookies that will contain between 64 and 68 cookies is approximately 18.23%.

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