Review the steps of the proof of the identity Sine (A minus StartFraction 3 pi Over 2 EndFraction) = cosine A.

Sine (A minus StartFraction 3 pi Over 2 EndFraction)

Step 1: = Sine A cosine (StartFraction 3 pi Over 2 EndFraction) minus cosine A sine (StartFraction 3 pi Over 2 EndFraction)

Step 2: = (Sine A) (0) + cosine A (negative 1)

Step 3: = (Sine A) (0) + (1) (cosine A)

Step 4: = 0 + cosine A

Step 5: Cosine A

At which step was an error made?

step 1
step 2
step 3
step 4

The probability of making a type i error is the likelihood of type i error, and it is denoted by α

The type-i error involves rejecting a good prediction or value indicated by the null hypothesis.

In other words, the probability of wrongly rejecting the null hypothesis is the probability of the type-i error.

And it is represented by the alpha symbol.

Hence, the probability of making a type i error is α

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Answer:

supplementary

Step-by-step explanation:

we have,

2x+96=180

=> 2x = 180- 96

=> 2x = 82

now,

82 + 96 = 180

so they are supplementary angles

Answer:

The measurement of 7 is equal to 47 because it is congruent to 5.

The equation that could be is is:  (2x-5) + 47 = 180

x is equal to 69.

Step-by-step explanation:

69 times 2 = 138 -5 = 133

133 + 47 = 180

Answer:

140$

Step-by-step explanation:

so if peilling lent 28$ and then john has 5x as much that means john had 4x as much before getting the 28$ which would mean that john had 112$ dollars so now with that knowledge just add the 28$ to get 140$ or just do 5 x 28 to get 140

Answer:

9/20

Step-by-step explanation:

36/80

orrrr just

9/20

Answer:

the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

Amanda babysitted for 3 hours

Step-by-step explanation:

From the question, we know that:

Amanda charges $20 fee for babysitting plus an additional $5 per hour.

Let the number of hours she babysits be represented by x

This is represented by the equation:

$20 + $5× x

= 20 + 5x

We are also told:

The Wilson family paid the babysitter a total of $35 for a night of babysitting.

Hence the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

5x = 35 - 20

5x = 15

x = 15/5

x = 3 hours

Therefore, Amanda babysitted for 2 hours

Answer:

15000 pay on the ship for me

Answer:

the next two are 65, and 257

Answer:

65 and 257

Step-by-step explanation:

17x4=68   68-3=65.      65x4=260   260-3=257

Answer:

-1

Step-by-step explanation:

First you simplify your parenthesis, then subtract 2x from both sides. Then subtract both sides by 2, then finally divide both sides by 10. x > -1 So n = -1

Hope I helped! :)

Answer is:

2018

Have a good day :D

Answer:

125 is the answer

Step-by-step explanation:

Answer:

The length of a rectangle is 3 times the width.The area is 75 cm^2.

Answer:

your question is not clear

Step-by-step explanation:

because of option not correct arrange

Answer:

DF=2.68

EF=2.01

Step-by-step explanation:

Answer:

720 I know this because i did this :)

Step-by-step explanation:

The 95% confidence interval for the proportion p is (0.156, 0.302)

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To calculate a 95% confidence interval for the proportion p, we can use the following formula:

p ± z√(p(1-p)/n)

where p is the sample proportion (37/161), z is the critical value for a 95% confidence level (1.96 for a large sample size), and n is the sample size (161).

Plugging in these values, we get:

p ± z√(p(1-p)/n)

= 0.229 ± 1.96√((0.229)(0.771)/161)

= 0.229 ± 0.073

Therefore, the 95% confidence interval for p is (0.156, 0.302).

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Answer:

If you translate that in romanian i will do it.

The velocity of a major river at various depths has no relation.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We are given that;

Equation y=−0.114x+1.658

Now,

In this case, the equation y = -0.114x + 1.658 represents a linear relationship between x (depth) and y (velocity) of the river. The correlation coefficient is 0.964, which means there is a very strong positive correlation between these two variables. This means that as depth increases, velocity also tends to increase proportionally.

| x | y |

| 0 | 1.658 |

| 5 | 1.098 |

|10 | 0.538 |

|15 |-0.022 |

The calculator gives us a p-value of approximately 0.0002, which is much smaller than 0.05. This means that we can reject the null hypothesis that there is no correlation between depth and velocity of the river and conclude that there is a statistically significant positive correlation between them.

Therefore, by the given equation there will be no relation.

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Answer:

75 degrees

Step-by-step explanation:

75+r+30=180

105+r=180

r=75

Answer:

he is 162.56

Step-by-step explanation:

Answer:

162.56 cm

Step-by-step explanation:

Convert 5 ft 4 inches to inches (5 x 12) +4

Then convert to cm

64in              2.54cm

---------    x   ---------------  =   162.56cm

   1                     1 in

Cancel the term inches and multiply 64 by 2.54cm

Answer:

B. Slope = -5/4, no, not perpendicular

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\text{6 by 10 inches}}[/tex]

Step-by-step explanation:

In order to solve for this, we can make two equations, where a is the length of the first side and b is the length of the second side.

We can now solve this systems of equations by using substitution.

Let's change the equation [tex]ab=60[/tex] into the form [tex]a= mb+c[/tex].

We can divide both sides by b.

[tex]a = \frac{60}{b}[/tex]

We can now plug [tex]\frac{60}{b}[/tex] in as a into [tex]2a+2b=32[/tex].

[tex]2(\frac{60}{b}) + 2b = 32[/tex]

Let's simplify this equation:

Now, since we have both roots of this quadratic, we know that the two sides will be 10 and 6 inches long.

Hope this helped!

Volume of a cube formula: [tex]V=a^3[/tex]

Surface area of a cube formula: [tex]SA=6a^2[/tex]

Area of a trapezoid formula: [tex]A=\dfrac{1}{2}(a+b)h[/tex]

We're given:

First, use the volume formula to solve for the side length:

[tex]V=a^3[/tex]

⇒ Plug in the known volume:

[tex]343=a^3\\\sqrt[3]{343}=\sqrt[3]{a^3}\\a=7[/tex]

Therefore, [tex]a=7[/tex].

Now, plug this value into the formula for surface area:

[tex]SA=6a^2\\SA=6(7)^2\\SA=294[/tex]

Therefore, the surface area of the cube is 294 cm².

We're given:

For this question, we must solve for the area of the trapezoid, then divide its double by 72 to find how many cans of paint we need for two coats.

Solve for the area of the trapezoid:

[tex]A=\dfrac{1}{2}(a+b)h[/tex]

⇒ Plug in the given information:

[tex]A=\dfrac{1}{2}(14+24)(16.5)\\\\A=\dfrac{1}{2}(38)(16.5)\\\\A=(19)(16.5)\\A=313.5[/tex]

Therefore, the area of the trapezoid is 313.5 ft²

Multiply it by 2:

[tex]313.5*2\\=627[/tex]

Divide this by 72:

[tex]\dfrac{627}{72}\\\\=8.7[/tex]

Therefore, we need 9 cans of paint to paint two coats over the deck.

Answer:

Yes, AN time E equal to ABN if A=1, B=5, E=3 & N=0.

Step-by-step explanation:

Given;

Does AN time E equal to ABN if A=1, B=5, E=3 & N=0?

A = 1

B = 5

E = 3

N  = 0

Note;

0 multiply everything is 0.

Solve;

So If A=1, B=5, E = 3, N=0                

AN times E = (1 x 0) x 3 = 0

ABN = (1 x 5 x 0) = 0

Therefore, the question would be true.

~Learn with Lenvy~

Answer:

99 and - 12

Step-by-step explanation:

let x and y be the 2 numbers, then

x + y = 87 → (1)

x - y = - 111 → (2)

Adding the 2 equations term by term eliminates the y- term

2x = - 24 ( divide both sides by 2 )

x = - 12

Substitute x = - 12 into (1)

- 12 + y = 87 ( add 12 to both sides )

y = 99

The 2 numbers are 99 and - 12

Answer:

A

Step-by-step explanation:

Since he is paying the computer off, the first value is considered the initial value, and in this case it is the amount he purchased the computer for.

Hey there!

Option answer: $1,000

Calculate the percentage

=> 5000 × 20/100

=> 5000/1 × 20/100

=> 50/1 × 20/1

=> 1000/1

=> 1000

Therefore, 20% of $5000 is $1000