What is the gradient of the line 3x + 2y=9

Answer:

Step-by-step explanation:

The mean for brand A is higher than the mean for brand B

The mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have:

For brand A:

The number of hours per lightbulb:

1000, 4200, 1400, 1500, 1800, 2000

Mean for brand A:

[tex]\rm Mean(A) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]

[tex]\rm Mean(A)= \frac{1000+4200+1400+1500+1800+ 2000}{6}[/tex]

[tex]\rm Mean(A)= \frac{11900}{6}\\\\\rm Mean(A) = 1983.33[/tex]

For Brand B:

The number of hours per lightbulb:

1200, 1400, 1600, 1800, 2000

Mean for brand B:

[tex]\rm Mean(B) = \frac{Sum \ of \ all \ data \ values}{Number \ of \ data \ in \ the\ set}[/tex]

[tex]\rm Mean(B)= \frac{1200 +1400 +1600 +1800 +2000}{6}[/tex]

[tex]\rm Mean(B)= \frac{8000}{5}\\\\\rm Mean(B) = 1600[/tex]

We can see that:

Mean(A) > Mean(B)

Thus, the mean for brand A is higher than the mean for brand B because the mean for A is 1983.33 and the mean for B is 1600 statement (C) is correct.

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Answer:

The minimum sample size required for the estimate is of 3820.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Variance is known to be 5.76

This means that [tex]\sigma = \sqrt{5.76} = 2.4[/tex]

What is the minimum sample size required for the estimate?

Maximum error of 0.1 means that we find n for which M = 0.1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.1 = 2.575\frac{2.4}{\sqrt{n}}[/tex]

[tex]0.1\sqrt{n} = 2.575*2.4[/tex]

Multiplying both sides by 10

[tex]\sqrt{n} = 2.575*24[/tex]

[tex](\sqrt{n})^2 = (2.575*24)^2[/tex]

[tex]n = 3819.2[/tex]

Rounding up:

The minimum sample size required for the estimate is of 3820.

Answer:

(Choice A) Perimeter

Step-by-step explanation:

It can't be the length, because it states in the question that the length is 7 m

and it can't be the area because lw = 7(8) = 56 is the area.

Answer:

choice 1) 1/5k - 2/3j and -2/3j + 1/5k

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Answer:

It takes 7.37 hours for the size of the sample to double.

Step-by-step explanation:

Continuous exponential growth model:

The continuous exponential growth model for populations is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate parameter, as a decimal.

Growth rate parameter of 9.4% per hour.

This means that [tex]r = 0.094[/tex]

So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(t) = P(0)e^{0.094t}[/tex]

How many hours does it take for the size of the sample to double?

This is t for which P(t) = 2P(0). So

[tex]P(t) = P(0)e^{0.094t}[/tex]

[tex]2P(0) = P(0)e^{0.094t}[/tex]

[tex]e^{0.094t} = 2[/tex]

[tex]\ln{e^{0.094t}} = \ln{2}[/tex]

[tex]0.094t = \ln{2}[/tex]

[tex]t = \frac{\ln{2}}{0.094}[/tex]

[tex]t = 7.37[/tex]

It takes 7.37 hours for the size of the sample to double.

Answer:

[tex]3 \times 2 + 5 = 6 + 5 = 11[/tex]

Answer:

log_7(6)

Step-by-step explanation:

log_7(2)+log_7(3)

log_7(2×3)

log_7(6)

Answer:

15

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

Mean 7

Median  6

Mode 3

Range 12

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

80°+20°+missing angle=180°[ sum of interior angle of a triangle is 180°]

missing angle=180°+100=80°

is your answer

Using the limit definition of the derivative, you have

[tex]\displaystyle f'(-5) = \lim_{x\to-5} \frac{f(x) - f(-5)}{x - (-5)} = \lim_{x\to-5} \frac{(2x^2+4x+7) - 37}{x + 5}[/tex]

Simplify the numerator:

(2x ² + 4x + 7) - 37 = 2x ² + 4x - 30

… = 2 (x ² + 2x - 15)

… = 2 (x + 5) (x - 3)

Then

[tex]\displaystyle f'(-5) = \lim_{x\to-5}\frac{2(x+5)(x-3)}{x+5} = \lim_{x\to-5} 2(x-3) = \boxed{-16}[/tex]

• • •

For your second question in the comments, if f(x) = -2x ² + 3x - 7, then by the definition of the derivative, you have

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{(-2(x+h)^2+3(x+h)-7) - (-2x^2 + 3x - 7)}h[/tex]

Simplify the numerator:

(-2 (x + h)² + 3 (x + h) - 7) - (-2x ² + 3x - 7)

… = (-2x ² - 4xh - 2h ² + 3x + 3h - 7) - (-2x ² + 3x - 7)

… = -4xh - 2h ² + 3h

Now compute the limit:

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{-4xh-2h^2+3h}h = \lim_{h\to0}(-4x-2h+3) = \boxed{-4x+3}[/tex]

Answer:

n=6

Step-by-step explanation:

[tex]\frac{1}{2} n=3[/tex]

Multiply both sides by 2

2*1/2n=3*2

Simplify;

n=6

Answer: n=6

Step-by-step explanation:

6*1/2=3 so this is y n=6.

Answer:

$48 in savings

Step-by-step explanation:

1.

150-(150*32%)=102

150-102=48

2.

30% of 150 is 45

2% of 150 is 3

45 plus 3 is 48

Please brainliest! I did both methods and explained!

Answer:

log 81 = 1.90849

Step-by-step explanation:

log 81 = log 9^2 = 2 log 9 = 2(0.95424) = 1.90849

Answer:

340 m²

Step-by-step explanation:

Just multiply each edge of the rectangular prism until you find the surface area of each side then add them together

Answer:

I hope this ans helps you

Answer:

x = 3

Step-by-step explanation:

Move all terms containing x to the left

5x + 2 = 17

Move all terms not containing x to the right

5x = 15

Divide each term by 5 and simplify

x = 3

Answer:

500000mm

Step-by-step explanation:

First to have to convert the meters into millimeters (25mm×1000mm=25000mm) than you have to times the answer by 20 (25000mm×20mm=500000mm) and your answer is 500000mm

Answer: 31,672 mi2

Step-by-step explanation:

The area of the state of Nevada can be estimated using a trapezoid

Answer:

#1 - a mathematical relationship or rule expressed in symbols which help you solve something

#2 - variables, which represent an aspect of the problem

#3 P is perimeter, L is length, W is width, A is area

#4 Because in order to find the perimeter, you need to multiply the length and the width twice then add them.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

2+2+3

A is the correct answer

Or

Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of

symmetry is x = -5

Domain:(−∞,∞),{x|x∈R}

Range:[2,∞),{y|y≥2}

The Domain is {1, 2, 3, 4} and the range is { 11, 18, 27, 38}

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

Y=x^2+4x+6

As, we know that domain is the input value and range is the output value.

Then, x = 1

y = 1 + 4 +6

y= 11

and, x= 2

Y = 4 + 8 +6

Y = 18

and, x= 3

Y = 9 + 12 + 6

Y = 27

and, x = 4

Y = 16 + 16 + 6

Y = 38

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Answer:

$6.39

Step-by-step explanation  

well, 20% of $30 is $6, so then you just have to add on the tax, which is 39 cents, coming to $6.39

Answer:

25.56

Step-by-step explanation:

30 divided by 4 is 6 so 30- 6=24

6.5% of 24=1.56 sooooo           24+1.56=25.56

Answer: i think i got b or c onr of them are correct  :)

Step-by-step explanation:

The estimated population mean with

80% confidence =  [30.856, 33.135]

90% confidence = [30.543, 33.456]

98% confidence =  [29.94, 34.06]

For a population with unknown mean  and known standard deviation , a confidence interval for the population mean, based on a simple random sample of size n, is [tex]\bar x +_{-}z^{*}\frac{\sigma}{\sqrt{n} }[/tex] , where z* is the upper (1-C)/2 critical value for the standard normal distribution.

Population standard deviation = 5.6

Sample mean = 32

Sample size = 40

Given confidence level = 80%

[tex]z^{*}[/tex] at 80% confidence level = 1.28

Upper confidence interval = 33.135

Lower confidence interval = 30.865

Population mean lies between [30.856, 33.135] at 80% confidence level.

Given confidence level = 90%

[tex]z^{*}[/tex] at 90% confidence level = 1.65

Upper confidence interval =33.456

Lower confidence interval = 30.543

Population mean lies between [30.543, 33.456] at 90% confidence level.

Given confidence level = 98%

[tex]z^{*}[/tex] at 98% confidence level = 1.65

Upper confidence interval = 34.06

Lower confidence interval = 29.94

Population mean lies between [29.94, 34.06] at 98% confidence level.

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Answer:

the boxes are this

top left: 9

top right is 7

bottom right is 9

Step-by-step explanation: