simplify cos theta csc theta

Answer:

The P-value is 0.0353.

Step-by-step explanation:

We are given the six measurements of a sprinter's reaction time show below;

X = 0.152, 0.154, 0.166, 0.147, 0.161, and 0.159 seconds.

Let [tex]\mu[/tex] = mean sprinter's reaction time

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] 0.150 seconds    {means that the mean sprinter's reaction time is at most 0.150 seconds}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 0.150 seconds    {means that the mean sprinter's reaction time is more than 0.150 seconds}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                             T.S.  =    ~  

where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{0.939}{6}[/tex] = 0.1565 seconds

            s = sample standard deviation =  [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = 0.0068 seconds

            n = sample of measurements = 6

So, the test statistics =  [tex]\frac{0.1565-0.150}{\frac{0.0068}{\sqrt{6} } }[/tex]  ~  [tex]t_5[/tex]

                                    =  2.341  

The value of t-test statistics is 2.341.

Now, the P-value of the test statistics is given by the following formula;

P-value = P( > 2.341) = 0.0353.

{Interpolating between the critical values at 5% and 2.5% significance level}

Answer:

x>1

Step-by-step explanation:

5x - 4 > 4 - 3x

Add 3x to each side

5x+3x - 4 > 4 - 3x+3x

8x -4 > 4

Add 4 to each sdie

8x-4+4 > 4+4

8x> 8

Divide each side by 8

8x/8 >8/8

x > 1

Step-by-step explanation:

5x-4>4-3x

5x+3x>4+4

8x>8

8x/8>8/8

x=1

Answer: It is a rational number

Step-by-step explanation:

any number that can be written in the form of fraction is rational number (or as   the a decimal that has a end or repeating decimal are rational number)

7.8=39/5

Hope this helps!! :)

Please let me know if you have any question

Answer:

Step-by-step explanation:

2x^2-6x+10=0

2(x^2-3x)+10=0

2(x-(3/2))^2-9/4)+10=0

2(x-(3/2))^2+10-9/2=0

2(x-(3/2))^2+(20-9)/2=0

2(x-(3/2))^2+11/2=0

2(x-(3/2))^2=-11/2

square is always positive so there is no solution

Question #2 Answer: 76

Calculate 4 to the power of 3 and get 64.

64−(−3)381​+9≈76

Calculate −3 to the power of 3 and get −27.

64−−2781​+9=76

Divide 81 by −27 to get −3.

64−(−3)+9=76

The opposite of −3 is 3.

64+3+9=76

Add 64 and 3 to get 67.

67+9=76

Add 67 and 9 to get 76.

76

---------------------------------------------------------------

Question #3 Answer: -4

Calculate 2 to the power of 4 and get 16.

16−324​−12=−4

Divide 24 by 3 to get 8.

16−8−12=−4

Subtract 8 from 16 to get 8.

8−12=−4

Subtract 12 from 8 to get −4.

−4

Answer:

The number of cuboids that will be needed to form a cube is 2625 cuboids

Step-by-step explanation:

To form a cube, we have;

The length = The height = The depth

The dimensions of the given cuboid = Length = 75 cm, the width = 35 cm, the depth = 21 cm.

Therefore;

The lowest common multiple of 75, 35, and 21, for the cuboid is given as follows;

75 = 5 × 5 × 3

35 = 5 × 7

21 = 3 × 7

Therefore, multiplying 75 by 7, we get;

75 × 7 = 525

Since 7, 5 and 3 are factors of 525, 35 and 21, can also be factors as we check;

525/35 = 15

525/21 = 25

Therefore, the cube will be;

The length of the cube will consist of 7 pieces of the cuboid, arranged with the side 75 cm facing the front

The depth of the cuboid will be 15 cuboids with the side 35 cm facing the sides

The height of the cuboid will be 25 cuboids with the side 21 cm high

The total number of cuboids is therefore;

7 × 15 × 25 = 2625 cuboids

The number of cuboids that will be needed to form a cube = 2625 cuboids.

Answer:

27.89

Step-by-step explanation:

It is 27.89 because if you subtract 2 from 30 you get 28 and 28- 0.11 is 27.89

Answer:

y=4

Step-by-step explanation:

66 = 9y + 5y + 7 + 3

66 = 14y +10

subtract 10 from each side

56 = 14y

Divide 56 by 14, and you get 4 = y

I hope this helped!

Answer:

f-1(x) = x/6

Step-by-step explanation:

y = 6x

--> x = y/6

rewrite : (substitute x for y and y for x to get the reverse function)

y = x/6

Answer: The only true statement is:

" A debt of $17 is a larger value than a debt of $20."

Step-by-step explanation:

Let's analyze the options:

A) " 8.01 is a smaller increase in sales then 8.001"

Here you can see the difference:

8.01 - 8.001 = 0.009

The difference is positive, then 8.01 > 8.001.

Then as we are talking of increases in sales, the numbers are positive, then we have that 8.01 is a larger increase in sales than 8.001.

B) "A debt of $17 is a larger value than a debt of $20."

A debt is written as a negative number, then:

A debt of $17 is written as -$17, and a debt of $20 is written as -$20.

Then -$17 is a smaller negative number than -$20

-$17 > -$20

Then this statement is true.

C) " 2/3 bellow zero is lower than 6 bellow zero"

ok, 2/3 bellow zero is: -2/3

6 bellow zero is: -6

-2/3 is larger than -6

-2/3 > -6

then -6 is lower than -2/3, the statement is false.

D) "1/2 of an apple is equivalent to 8/4 apples"

Well, here you can do the quotients:

1/2 = 0.5

8/4 = 2

So these numbers are not equivalents.

Answer:

3.4567

3.4568

Step-by-step explanation:

We need to find a number between 3.456 and 3.457. In order to do so, we need to dive deeper into the decimal to get numbers in-between.

We need to dive to the ten-thousandths place to get numbers between the two.

Answer:

$600 - $40 = $560

$560/ $25 = 22.4

this means he can have up to a total of 22 people at his party

Answer:

This is the picture answer :)

Step-by-step explanation:

The equation of the line with the given slope and y-intercept is y=12x+2.

Given that, the slope of a line=12 and y-intercept=2.

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Where, m=slope and b=intercept.

Now, substitute slope=12 and y-intercept=2 in y=mx+b.

That is, y=12x+2

Therefore, the equation of the line is y=12x+2.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ6

Answer:

41/120, 7/20, 43/120, 11/30, 3/8

Step-by-step explanation:

Write the numbers.

1/3 & 2/5

We need a common denominator, but not the least common denominator. Both 3 and 5 are factors of 60, so let's use 60 as the common denominator.

Multiply 1/3 by 20/20:

1/3 = 20/60

Multiply 2/5 by 12/12:

2/5 = 24/60

Let's multiply each fraction again, but this time by 2/2.

1/3 = 40/120

2/5 = 48/120

Now it's easy to find 5 numbers between 40 and 48, so we get:

41/120, 42/120, 43/120, 44/120, 45/120

Some of these fractions can be reduced, so our answer is:

41/120, 7/20, 43/120, 11/30, 3/8

Answer:

end point of a segment  X₂ = - 8 ;  Y₂ = 21

Step-by-step explanation:

given;

midpoint = ( Mx = -4 , My = 13 )

endpoint ₁  = ( X₁ = 0 ,  Y₁ = 5 )

find the other endpoint ₂ ( X₂ , Y₂)

use the mid point formula to get the other endpoint:

Mx = ( X₁ + X₂ ) / 2              My = ( Y₁ + Y₂ ) / 2

- 4 = (0 + X₂) / 2                 13 = (5 + Y₂) / 2

-8 = 0 + X₂                         26 = 5 + Y₂

X₂ = -8                                    Y₂ = 21

Answer:

x - 5

Step-by-step explanation:

x^3 -5x^2 +3x -15 = x^2 +3 times length

therefore:

(x^3 -5x^2+3x -15)/(x^2 +3) = length

= x - 5

Answer:

Quedan 3 libras de azúcar en el costal.

Step-by-step explanation:

Una kilo es aproximadamente dos libras y dos libras y media equivalen a un paquete, para determinar la cantidad remanente de libras de azúcar luego de las ventas se calcula la masa vendida por regla de tres compuesta:

[tex]x = 5\,p \times \frac{2,5\,kg}{1\,p}\times \frac{2\,lb}{1\,kg}[/tex]

[tex]x = 25\,lb[/tex]

Juana vendió 25 libras de azúcar. Entonces, la masa remanente de azúcar en el costal es:

[tex]x = 28\,lb-25\,lb[/tex]

[tex]x = 3\,lb[/tex]

Quedan 3 libras de azúcar en el costal.

The total amount of sugar left in the sack is 3 pounds.

Using the conversion:

1 kg = 2lb

2.5kg =5lb

Amount of sugar left in the sack = Total  - amount sold

Amount of sugar left in the sack = 28lb - 25lb

Amount of sugar left in the sack = 3lb

Learn more on conversion here:  https://brainly.com/question/11207931

Answer:

it is Greater than because blue and green combined equal to 12

Isolate the variable by dividing each side by factors that dont contain variables

Answer: x=3

Answer:

+9-22=-13

Step-by-step explanation:

Its 13 yrds lost

Answer:

Hey there!

Three peppers of 0.40 dollars each would be 0.4+0.4+0.4, or 1.2 dollars.

Hope this helps :)

Answer:

[tex]x=2y+6[/tex]

Step-by-step explanation:

So we have the system:

[tex]-x+2y=-6\\3x+y=8[/tex]

If we isolate the x-variable in the first equation:

[tex]-x+2y=-6[/tex]

Subtract 2y from both sides:

[tex]-x=-6-2y[/tex]

Divide both sides by -1:

[tex]x=2y+6[/tex]

Therefore, we would substitute the above into the second equation:

[tex]3x+y=8\\3(2y+6)+y=8[/tex]

The answer is 2y+6

Further notes:

To solve for the system, distribute:

[tex]6y+18+y=8[/tex]

Simplify:

[tex]7y+18=8[/tex]

Subtract:

[tex]7y=-10[/tex]

Divide:

[tex]y=-10/7\approx-1.4286[/tex]

Now, substitute this value back into the isolated equation:

[tex]x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429[/tex]

Step-by-step explanation:

Start by solving the equation for x (☓)

[tex] - x + 2y = 6 \\ \: \: \: \: \: 3 + y = 8[/tex]

[tex]x = 6 + 2y[/tex]

[tex]3(6 + 2y) + y = 8[/tex]

[tex]y = - \frac{10}{7} [/tex]

[tex]x = 6 + 2 \times ( - \frac{10}{7} )[/tex]

[tex]x = \frac{22}{7} [/tex]

[tex] (\frac{22}{7} . - \frac{10}{7} )[/tex]

[tex](x.y) \: \: ( \frac{22}{7} . - \frac{10}{7} )[/tex]

Answer:

See attached graph.

Step-by-step explanation:

This equation is already in slope-intercept form.

This means the term next to the x is the slope, and the constant being added is the y-intercept.

We know that the y-intercept will be 4 because that’s the constant being added. We also know the slope is [tex]\frac{2}{3}[/tex].

A slope of [tex]\frac{2}{3}[/tex] will increase in x by 3, for every increase in y by 2.

This info can help us make the graph.

Hope this helped!

Answer:

12 inches

Step-by-step explanation:

area of square is given by side ^2 = side * side

given

area of square print = 9 sq. inches

side ^2 = 9 sq. inches

[tex]\sqrt{side ^2} = \sqrt{9} \ sq. \ inches\\side = 3 \ inches[/tex]

Thus, side length of print is 3 inches.

Perimeter of square is given by 4*side

Perimeter of print is =   4*side = 4*3 inches = 12 inches    answer

Answer:

12 arrangments, 2 blue carnations in each arrangement, 3 red carnations in each arrangment.

Step-by-step explanation:

We can find the gcd of 24 and 36, getting 12.

Therefore, there should be 12 total arrangements.

There are 24 blue carnations:

24 / 12 = 2 blue carnations in each arrangement.

There are 36 red carnations:

36 / 12 = 3 red carnations in each arrangment.

Answer:

0.3125

Step-by-step explanation:

type that into a calculator

Answer:

AD=2

Step-by-step explanation:

[tex]\frac{6}{12} =\frac{AB}{20} \\AB=\frac{6}{12} \times 20=10\\AD+DF+FB=10\\AD+6+FB=10\\AD+FB=10-6=4\\AD+AD=4 ( \because ~FB=AD )\\2AD=4\\AD=4/2=2[/tex]