A company claims that its tablet computers have an average recharge time of 3 hours. In a random sample of these computers, the average recharge time is 2.5 hours. You suspect that the average recharge time might be less than what the company claims. Let µ represent the average time, in hours, needed to recharge the company's tablet computers.


What is the alternative hypothesis for this situation?
DONE | Second option

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}[/tex]  .

Use distributive property.

[tex]\frac{1}{2}ab*(3a^{2}-5b^{2}a+10a^{2}b)=\frac{1}{2}ab*3a^{2}-\frac{1}{2}ab*5b^{2}a+\frac{1}{2}ab*10a^{2}b\\\\\\[/tex]

                                         [tex]=\frac{3}{2}a^{1+2}b -\frac{5}{2}a^{1+1}*b^{1+2}+5*a^{1+2}*b^{1+1}\\\\\\=\frac{3}{2}a^{3}b-\frac{5}{2}a^{2}b^{3}+5a^{3}b^{2}[/tex]

A

Steliên hợp p-by-step explanaliên hợp ion:

The given tax rates are as follows:

Single Taxpayers: Income Brackets

Tax Income          Rate Bracket             Tax Owed              

O to 9,525          10%                     10% of taxable income

9,526 to38,700    12%                $952.50 plus 12% of  38,700 the excess                                                                                        over

$38,701 to 82,500  22 %                $4,453.50 plus 22% of 38,701                                                                                     the excess over

82,501 to 157,500     24%    $14,089.50 plus 24%  of the excess over

                                                                 157,500

157,501 to  200,000     32%     $ 32089.50  plus 32% of the excess over

200,001 to   500,000     35%      45,689.50 plus 35% of the excess over

500,000 >                37%         $150,689.50 plus 37% of 500,000 of the    

                                                               excess over

The taxable income lies in the tax rate range of   $38,701 to 82,500.

Therefore the tax would be  

 $4,453.50 + 22% of (39,000-38,701=299)

 $4,453.50 + 22% of 299

 $4,453.50 + 65.78

= $ 4519.28

The taxable income lies in the tax rate range of  $38,701 to 82,500.

Due and effective tax rate is $4,453.50 plus 22% of 38,701 the excess over

The calculated tax is $ 4519.28

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https://brainly.com/question/1160723

Answer:

$4,519.50 and 22%

Step-by-step explanation:

i got it right

Answer:

1 student

Step-by-step explanation:

From the Vann diagram attached below,

Let x represent the number of students who took 3 subjects.

Therefore,

100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20

100 = 22-x+11+x+9+10+14-x+11-x+20

100 = 97-2x

2x = 100-97

2x = 3

x = 3/2.

x = 1.5

x = 1 student

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

To understand more about sequence, visit the link below -

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#SPJ2

10x2=20

20+15=35

35÷2=17.5

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

OAmalOHopeO

Answer:

58.83

Step-by-step explanation:

176.50  ÷ 3 = 58.83333

round down

Answer:

In explanation.

Step-by-step explanation:

If we know that Mrs.Fox makes a consitant rate .

meaning if you divide 176.50 by 3

you get 58.833333 but since money can only go up to two decimal places,

we round and get 58.83 dollars per hour.

Answer:

x is ten

Step-by-step explanation:

9 times ten is 90, then minus 40 is 50, and 3 times ten is 30, plus 20 is 50

Answer:

x2-8 to 4x2+3x divided by 4

Answer:

x2-8 to 4x2+3x

Step-by-step explanation:

x2-8 to 4x2+3

Let s be the plane's speed in still air and w the wind speed. Then

s - w = (6060 km)/(6 h) = 1010 km/h

s + w = (12,150 km)/(9 h) = 1350 km/h

Adding these equations together eliminates w and lets you solve for s :

(s - w) + (s + w) = 1010 km/h + 1350 km/h

2s = 2360 km/h

s = 1180 km/h

Answer:

Step-by-step explanation:

I don't see Wen's work, but I'll show you mine!

We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.

At time 0, the temp is 0: (0, 0)

5.75 hours late, the temp is -15.5: (5.75, -15.5)

We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.

[tex]m=\frac{-15.5-0}{5.75-0}=\frac{-15.5}{5.75}=-2.7[/tex] That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.

Answer:

- 2 16/23 degrees / hr

Step-by-step explanation:

15 1/2 = 31/2

5 3/4 = 23/4

31/2 ÷ 23/4 =

31/2 ×  4/23 =  124/46 = 62/23 = 2 16/23

Recall that

cos²(x) + sin²(x) = 1

Then in the equation

1 - cos(x) = 2 - 2 sin²(x)

we can rewrite as

1 - cos(x) = 2 (1 - sin²(x))

1 - cos(x) = 2 cos²(x)

2 cos²(x) + cos(x) - 1 = 0

Factorize the left side as

(2 cos(x) - 1) (cos(x) + 1) = 0

so that

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

cos(x) = 1/2   or   cos(x) = -1

On the interval (-π, π) (note that this interval is open, so we don't allow x = π), we have

• cos(x) = 1/2 for x = π/3 and x = -π/3

• cos(x) = -1 for x = π

Answer:

ok

1 b

2c

3a

4f

5d

6g

7e

9g

10i

Answer:

1. x=1

2. x=0

Download gauthmath and it will help

Answer:

10*5 +2(2*2)

50+8

58

Step-by-step explanation:

Answer:

58 units

Step-by-step explanation:

Step-by-step explanation:

A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).

Answer:

24 + 28 + 21 + 23 = 96

step by step follow

Answer:

Step-by-step explanation:

Correct choice is B

Answer:

B. 3i√3

Step-by-step explanation:

[tex]\sqrt{-27} = \sqrt{-1*3*3*3}=3\sqrt{-1*3}[/tex]

we have

-1=i²

so

=[tex]3\sqrt{i²*3}[/tex]

=3i[tex]\sqrt{3}[/tex]

Option B.3i[tex]\sqrt{3}[/tex]

Answer:

y = 0.2x + 37

Step-by-step explanation:

A) Find an equation in the form y = mx + b, where x is the number of monthly minutes used and y is the total monthly of the Ringular plan.

(x, y) = (minutes, cost)

(110, 59)

(600, 157)

slope = m = dy/dx

dy/dx = change in y/change in x

m = dy/dx

m = (157 - 59)/(600-110)

m = 98/490

m = 0.2

a) the linear equation:

y - 59 = 0.2(x - 110)

y - 59 = 0.2x - 22

y = 0.2x - 22 + 59

y = 0.2x + 37

Answer:

Step-by-step explanation:

f(x)=-2x³+x-3

-f(x)=2x³-x+3

f(-x)=-2(-x)³+(-x)-3

=2x³-x-3

it is not equal to f(x) or -f(x)

so it is neither even or odd.

[tex]f(x)=\frac{x+5}{x} \\f(-x)=\frac{-x+5}{-x} =\frac{x-5}{x} \\it ~is~neither~equal~to~f(x)~or~-f(x)\\[/tex]

it is neither even or odd.

f(x)=x^4-x^2+10

f(-x)=(-x)^4-(-x)^2+10=x^4-x^2+10=f(x)

it is an even function.

[tex]f(x)=\frac{5}{-x^2+1} \\f(-x)=\frac{5}{-(-x)^2+1} =\frac{5}{-x^2+1} =f(x)\\[/tex]

it is an even function.

[tex]f(x)=\frac{-2}{5x} \\f(-x)=\frac{-2}{-5x} =\frac{2}{5x} =-f(x)\\it~ is ~an ~odd ~function.\\[/tex]

f(x)=x^9-x^5+4x^3

f(-x)=(-x)^9-(-x)^5+4(-x)^3

=-x^9+x^5-4x^3

=-(x^9-x^5+4x^3)

=-f(x)

it is an odd function.

Answer:

[tex]cos\Theta =\frac{adj}{hyp}[/tex]

[tex]cos 32=\frac{12}{x}[/tex]

[tex]x=12/cos32[/tex]

[tex]=14.2[/tex]

[tex]OAmalOHopeO[/tex]

Answer:

[tex]\huge\boxed{x=14.2}[/tex]

Step-by-step explanation:

Use a cosine:

[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]

We have:

[tex]adjacent=12\\hupotenuse=x\\measure\ of\ angle=32^o[/tex]

Look at the picture or use the calculator.

[tex]\cos32^o=0.8480[/tex]

Substitute:

[tex]0.848=\dfrac{12}{x}\\\\\dfrac{0.848}{1}=\dfrac{12}{x}[/tex]

cross multiple

[tex]0.848x=12[/tex]

divide both sides by 0.848

[tex]x=\dfrac{12}{0.848}\\\\x=14.2[/tex]

Answer:

see below

Step-by-step explanation:

butterfly = x minutes

breast = y minutes

total is 50 minutes

breast stroke = butterfly +20

Part A

x+y = 50

y = x+20

Part B

Substitute the second equation into the first

x+ (x+20) = 50

2x+20 = 50

2x+20-20 = 50-20

2x = 30

2x/2 = 30/2

x = 15

y = x+20

y = 20+15

y = 35 minutes

35 minutes on the breast stroke

Part C

45 minutes on the butterfly is not reasonable

We only have a total of 50 minutes

50-45 = 5

But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.

Answer:

Step-by-step explanation:

the sample space is the set that contain all possible outcomes

B-blue, R-red, G-green

sample space is {B,B,B,R,R,G,G,G,G}

so there are 9 possible outcomes

Answer:

These kind of questions are called simply.

According to simply, there's a rule of solving which is BODMAS.

BODMAS stand for bracket of Divide, Multiple, Add, Subtraction.

> (9)2-4

> 18-4

> 16

• (6+3)2-4 = 16

2. 23+(14-4)÷2

> 23+10÷2

> 23+5

> 28

• 23+(14-4)÷2 = 28

Step-by-step explanation:

Hope it helps you