On average, a smartphone battery lasts about 6.5 hours with heavy usage. The smartphone battery life follows an exponential distribution. Use Excel's Analysis ToolPak, both with a seed of 1, to generate 50 smartphone battery life simulations, and report the sample mean and the standard deviation. If the number of simulations is increased to 500, compare the sample mean and the standard deviation to the theoretical values. (Round your answers to 4 decimal places.) For 50 Observations For 500 Observations Average battery life (hours) Standard deviation (hours)

a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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it is true that for a scalar-valued function f(x, y), it makes sense to talk about its maximum or minimum value. We can find these values by analyzing the critical points and their corresponding second partial derivatives.

True, for a scalar-valued function f(x, y), it makes sense to talk about its maximum or minimum value.
A scalar-valued function f(x, y) is a function that takes two inputs (x and y) and outputs a single value. These types of functions are often used to represent the relationship between two variables, such as the height of a surface above a plane, temperature distribution, or profit of a business depending on two factors.
To find the maximum or minimum value of a scalar-valued function f(x, y), we need to examine its critical points. Critical points are the points where the gradient of the function is either zero or undefined. The gradient is a vector consisting of the partial derivatives of the function with respect to x and y. We can calculate the partial derivatives (∂f/∂x and ∂f/∂y) and then set them equal to zero to find the critical points.
Once we have found the critical points, we can determine whether they correspond to a maximum, minimum, or saddle point (neither a maximum nor a minimum) by examining the second partial derivatives. The second partial derivatives help us determine the curvature of the function around the critical point. We can use the second partial derivative test, which involves calculating the determinant of the Hessian matrix (composed of the second partial derivatives) to classify the critical points.
In conclusion, it is true that for a scalar-valued function f(x, y), it makes sense to talk about its maximum or minimum value. We can find these values by analyzing the critical points and their corresponding second partial derivatives.

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The planes are orthogonal since the dot product of their normal vectors is zero.

To determine whether the planes are parallel, orthogonal, or neither, we can compare the normal vectors of the planes.

The normal vector of the first plane is n1 = (5, -3, 1).

The normal vector of the second plane is n2 = (1, 4, 7).

If the dot product of the normal vectors is zero, the planes are orthogonal. If the dot product is nonzero, we can use the dot product formula to find the angle between the planes.

n1 · n2 = (5)(1) + (-3)(4) + (1)(7) = 5 - 12 + 7 = 0.

Since the dot product is zero, the planes are orthogonal.

Therefore, the planes are orthogonal.

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Answer:

Step-by-step explanation:

Let, s= number of student tickets sold

      a= number of adult tickets sold

s=a+12

and, 6a+4s=578

6a+4(a+12)=578

10a+48=578

10a=530

a=53

s=53+12=65

Simplify the expression

\(\\ \sf\longmapsto -3x-4=-5y-8\)

\(\\ \sf\longmapsto 3x+4=5y+8\)

\(\\ \sf\longmapsto 3x-5y=4\)

\(\\ \sf\longmapsto 3x=5y+4\)

\(\\ \sf\longmapsto x=\dfrac{5y+4}{3}\)

X intercept:-

Now

\(\\ \sf\longmapsto x=\dfrac{5(0)+4}{3}\)

\(\\ \sf\longmapsto x=\dfrac{4}{3}\)

Hence.

\(\\ \sf\longmapsto x=\left(\dfrac{4}{3},0\right)\)

Y intercept

\(\\ \sf\longmapsto y=\dfrac{3x-4}{5}\)

\(\\ \sf\longmapsto y=\dfrac{3(0)-4}{5}\)

\(\\ \sf\longmapsto y=\dfrac{-4}{5}\)

Hence

\(\\ \sf\longmapsto y=\left(0,\dfrac{-4}{5}\right)\)

The intercepts of the given line is equal to (0, \(\frac{-4}{5}\)) and (\(\frac{4}{3}\), 0).

Given the following data:

To determine the intercepts of the given line:

First of all, we would simplify the given equation of line as follows:

\(-3x - 4 = -5y - 8\\\\5y=3x+4-8\\\\5y=3x-4\\\\y=\frac{3x}{5} -\frac{4}{5}\)

When x = 0, y-intercept equals:

\(y= \frac{3(0)-4}{5} \\\\y= \frac{0-4}{5} \\\\y= \frac{-4}{5}\)

y-intercept = (0, \(\frac{-4}{5}\))

When y = 0, x-intercept equals:

\(x= \frac{5y+4}{3} \\\\x= \frac{0+4}{3} \\\\x= \frac{4}{3}\)

x-intercept = (\(\frac{4}{3}\), 0)

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There are 120 different possible combinations for writing the numbers on the six faces of the dice, satisfying the given condition.

To find the different possible combinations for writing the numbers on the six faces of the dice, we can consider the prime factorization of each number from 6 to 11.

The numbers from 6 to 11 are:

6, 7, 8, 9, 10, 11

Prime factorization of these numbers:

6 = 2 * 3

7 = 7

8 = 2^3

9 = 3^2

10 = 2 * 5

11 = 11

Since the highest common factor (HCF) of numbers written on any pair of opposite faces is always 1, it means that no prime factor is common between the numbers on any pair of opposite faces.

To determine the different combinations, we can count the number of ways we can arrange the prime factors on the six faces of the dice without repeating any factor.

The prime factors are:

2, 3, 5, 7, 11

Considering that each face of the dice can have one prime factor, the number of different combinations is equal to the number of ways we can arrange these prime factors.

Using the concept of permutations, the number of different combinations can be calculated as:

5! (5 factorial) which is equal to 5 * 4 * 3 * 2 * 1 = 120

Therefore, there are 120 different possible combinations for writing the numbers on the six faces of the dice, satisfying the given condition.

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Answer:

You need to take a screenshot or picture of the problem then I'll help you

Step-by-step explanation:

The score interval that is within one standard deviation of the mean is

(70 , 80).

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.

Some of the properties of the standard deviation are:

1. It cannot be negative

2. It is only employed to calculate the spread or dispersion around a data set's mean

3. It displays the degree of deviation  from the mean value

4. The larger the spread, the more standard deviation, with data of about the same mean.

Given,

 The mean of the test μ = 75

The standard deviation σ = 5

We are asked to find the scores within one standard deviation of the mean.

This means that the scores should be in the interval ( μ - σ , μ + σ )

μ - σ = 75 - 5 =70

μ + σ = 75 + 5 = 80

Therefore the scores should be in the interval = ( 70,80), which is within one standard deviation of the mean.

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Answer:

21 problems right

Step-by-step explanation:

To find the amount of problems he got right, you would have to multiply the amount of questions with the success rate

Amount of questions = 30

Success rate = 70% or 0.70

Amount of questions right = 30 x 0.70

                                            = 21

He got 21 questions right!

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would gladly appreciate it! :D

Fundamental Theorem of Line Integral, also called the Gradient theorem, tells us that line integrals through gradient fields are path independent and depend only on the initial and final values. correct answer is option 4 and 5

What does the Line Integrals Fundamental Theorem teach us?

In general, this theorem, like the Fundamental Theorem of Calculus, states that if we integrate a "derivative-like function" (f′ or f), the outcome depends only on the values of the original function (f) at the endpoints.

                       It is referred to be a conservative vector field if a vector field F is the gradient of a function, F=f.

The line integral of a gradient vector field depends only on the initial and terminal points of the path.

The workdone by gradient vector field is independent of path..

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Answer:

11 nickels and 9 dimes.

Step-by-step explanation:

11x5=55+(9x10)=55+90=145

145-(11x5)=145-55=90÷10=9

nickels: 11

dimes: 9

11+9=20

Answer:

9 Dimes and 11 Nickels

Step-by-step explanation:

1.45= 145

N=5

D=10

D>N

d*9=90

n*11=55

90+55=145

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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Answer:

10,8,12

Step-by-step explanation:

No, not all fixed costs are considered sunk costs. Sunk costs are costs that have already been incurred and cannot be recovered, regardless of any future actions.

Fixed costs, on the other hand, are costs that do not vary with changes in output or sales, such as rent or salaries. While some fixed costs may be sunk costs (such as a non-refundable deposit for a lease), other fixed costs may still be recoverable or avoidable with different decisions, and therefore are not considered sunk costs. Sunk costs are only relevant in decision making to the extent that they cannot be recovered and should not be factored into future decisions.

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Answer:

1.5gallons

Step-by-step explanation:

Here,

no. of bottles(a) : 12

no. of cups (b) :a*2

=12*2

=24

Now,

No. of gallons. :24/16

:1.5gallons

.·.A cartoon contains 1.5 gallons of lemon tea.

The  answers to the given formulas are as follows:

1. V = 2 Amps × 6 Ohms

2. I = 12V ÷ 6R

3. R = 12V ÷ 4I

1. Using Ohm's law, the formula V = I × R calculates the voltage (V) when the current (I) and resistance (R) are known. In this case, the given formula V = 2 Amps × 6 Ohms simplifies to V = 12 Volts.

2. The formula I = V ÷ R determines the current (I) when the voltage (V) and resistance (R) are known. In the provided formula I = 12V ÷ 6R, we can rewrite it as I = (12 Volts) ÷ (6 Ohms), resulting in I = 2 Amps.

3. Lastly, the formula R = V ÷ I calculates the resistance (R) when the voltage (V) and current (I) are known. The given formula R = 12V ÷ 4I can be expressed as R = (12 Volts) ÷ (4 Amps), leading to R = 3 Ohms.

By applying Ohm's law, these formulas allow for the calculation of voltage, current, or resistance in a circuit when the other two values are given.

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Answer:

28v + 16w - 32

Step-by-step explanation:

The simplified answer is 28v + 16w - 32.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

When you multiply a value by a sum, the distributive property of multiplication over addition is used.

Given:

4(7v+4w-8)

According to distributive property, we have

ax( b+ c)= (a x b)+ ( a x c)

Now, 4(7v+4w-8)

= 4x 7v+ 4 x 4w - 4 x8

= 28v + 16w - 32

Hence, the simplified answer is 28v + 16w - 32.

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Answer:

r7

Step-by-step explanation:

It is proved that BD bisects AC based on the given information.

To prove that BD bisects AC, we can use the fact that AC bisects BD. Here is the proof:

Step 1: Given AB CD (Given)

Step 2: AC bisects BD (Given)

Step 3: DE ≅ EB (A segment bisector divides a segment into two congruent segments)

Now, let's prove that BD bisects AC:

Step 4: Draw segment DE (Constructing segment DE)

Step 5: Connect point E to point B (Connecting E and B)

Step 6: Since DE ≅ EB (Step 3) and AC bisects BD (Step 2), we have DE ≅ AC (Definition of segment bisector)

Step 7: Similarly, since EB ≅ DE (Step 3) and AC bisects BD (Step 2), we have EB ≅ AC (Definition of segment bisector)

Step 8: Combining step 6 and step 7, we have DE ≅ AC ≅ EB

Step 9: By the transitive property of congruence, AC ≅ EB (Step 8)

Step 10: Since AC ≅ EB, and BD intersects AC and EB at point B, we can conclude that BD bisects AC (Definition of segment bisector)

Therefore, we have proved that BD bisects AC based on the given information.

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Answer:

The set of numbers that includes only whole numbers is 2, 5, 6, 15

Step-by-step explanation:

Whole numbers belong to the subset of positive integers such as 0, 1, 2, 3,..... Whole numbers consists of the set of natural numbers which are the numbers we use in counting including 0 which as specified in the question is a subset of the set of integers and can be produced by the addition and or subtraction   of 1s to each other such as 1 - 1 = 0

Therefore, the set of numbers that includes only whole numbers is 2, 5, 6, 15.

Answer: It’s C guys plz give me brainliest :)

Step-by-step explanation:

Answer:

when it's maintain supplimentary , it means that the sum of the angles given is 180° , In this case let one of the angle be x and the other is given as 125° .

therefore

125° + x = 180°

x = 180° - 125° = 55°

the compliment of x is the angle which when added to x givens 90° , Let the angle be y.

therefore

x + y = 90°

y = 90° - x = 90° - 55° = 35°

35° is the answer

Given: Graph of the function.

Required: Open interval of the domain for which the function is

(a) increasing

(b) decreasing

(c) constant

Explanation:

Firstly, if we see from left hand side, function is coming downwards that is it is decreasing.

Then at a point, it stops decreasing and become constant.

Then after a point it starts going upwards, that it starts to increase.

Now,

(a) increasing

The function starts increasing at x = 2, and it keeps on increasing after that (as the arrow suggests)

So the open interval in which the function is increasing is

(b) decreasing

The function is decreasing in the beginning, and it decreases till x = -2

So the open interval in which the function is decreasing is

(c) constant

The function remains constant in the open interval

Final answer:

The function is

(a) increasing in

(b) decreasing in

(c) constant in

Using exponential function it will take approximately 2.6 years for the population to reach 26676

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

The formula given in this question is

P(t) = 988(3.5)ˣ

The time it will take to reach a population of 26676 is

26676 = 988(3.5)ˣ

x = 2.6 years

It will take approximately 2.6 years

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Answer:

\(G=93\ to\ 147\)

Step-by-step explanation:

From the question we are told that

Mean \(x= 120\)  

Standard deviation \(\sigma= 9\)

Percentage for men =99.75%

Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 9

Mean x= 120

Generally the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

\(G=Mean \pm 3* \sigma\)

\(G=120 \pm 3*9\)

\(G=93\ to\ 147\)

⟹Answer:

➧Lucas can cut the wire into 12 pieces.

Step-by-step explanation:

⟹Lets Solve!

⟹The first step is to convert \(\frac{3}{4}\) into \(\frac{}{16}\) !

      To do this we must find what number multiplied by 4 equals 16.

16 ÷ 4 = 4

⟹Now we know our multiplier is 4. So lets multiply the numerator and denominator by 4.

\(\frac{3}{4} * \frac{4}{4} = \frac{12}{16}\)

\(\frac{12}{16}\)

⟹Next we just divide  \(\frac{12}{16}\) by \(\frac{1}{16}\).

\(\frac{12}{16}\) ÷ \(\frac{1}{16}\) = 12

➧Lucas can cut the wire into 12 pieces.

Woohoo! Brainliest appreciated! Hope I helped!

Based on the original length of the wire and the length Lucas requires, he will have 12 pieces.

The wire is 3/4 feet long and each piece required will be 1/16 feet.

The number of pieces in total is:

= Length of wire / Length of pieces

Solving gives:

= 3/4 ÷ 1/16

= 3/4 × 16/1

= 48/4

= 12 pieces

In conclusion, Lucas will have 12 pieces.

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Answer:

x<−1

Step-by-step explanation:

Answer:

x < -1

2(3x - 4) + 14 > -2(-3x - 5) + 4x

<=> 6x - 8 + 14 > 2(3x + 5) + 4x

<=> 6x + 6 > 6x + 10 + 4x

<=> 4x + 4 < 0

<=> 4x < -4

<=> x < -1

Answer:

4) c

6) a, b

7) a

8) b, c

10) I'm not sure but I believe it is C.

Step-by-step explanation:

Answer:

d)

Step-by-step explanation:

c/d - 2c/5d = 5c/5d - 2c/5d = 3c/5d = x

3c/d = 5x

c/d = 5x/3 = 5/3 × x

Answer:

Q1: B. UHWXUQV

Q2: None of these answers equal 12 so I'll just tell you the answers for all of them in case you mistyped.

a. 66

b. 82

c. 120

d. 109

Im assuming you meant 120. If so, your answer is c.