Consider the following conditional statement. Determine the contrapositive
of the statement and then determine if the contrapositive is true or false.
If two angles are not complements, then their measures do not add up to 180°.

The contrapositive of the statement is true.
The contrapositve of the statement is false.

Answer:

i guess its 1...

Step-by-step explanation:

Answer:

79 numbers

Step-by-step explanation:

39 x 39 = 1521 ( Find the square of 39)

40 x 40 = 1600 (Find the square of 40)

1600 - 1521 = 79 ( Finding the difference of the two squares)

Hello,

As somebody has distroyed my question, (may be he have not understood ?)

i will reply to y=(√x)+5

[tex]\displaystyle \boxed{\dfrac{d^n y}{dx^n} =(-1)^n*n!! *\dfrac{1}{2^n} *x^{-\frac{2n+1}{2} }\\}\\y'=\dfrac{1}{2} *x^{-\frac{1}{2}} \\\\y''=-\dfrac{1}{4} *x^{-\frac{3}{2}} \\...\\[/tex]

Answer:

it's the last one, the function is decreasing from x=-3 to x=-1

Answer:

the quotient of x and 3

Step-by-step explanation:

x divided by 3

division answers are called quotients

Answer:

Step-by-step explanation:

x/3

• the difference of x and 3

• the quotient of 3 and x

• the product of 3 and x

• the quotient of x and 3  is correct.  We are dividing x into 3, not 3 into x.

Answer:

(a) Amplitude = 4

(b) [tex]T = \frac{2\pi}{3}[/tex] --- Period

(c)

[tex]C = \frac{\pi}{3}[/tex] --- phase shift

[tex]D =1[/tex] --- vertical shift

Step-by-step explanation:

Given

[tex]f(x) = -4\cos(3x - \pi) + 1[/tex]

Rewrite the function as:

[tex]f(x) = -4\cos(3(x - \frac{\pi}{3}) + 1[/tex]

Solving (a): The amplitude

A cosine function is represented as:

[tex]f(x) = A\cos[B(x - C)] + D[/tex]

Where:

[tex]|A| \to Amplitude[/tex]

So, in this equation (by comparison):

[tex]|A| = |-4|[/tex]

[tex]|A| = 4[/tex]

The amplitude is 4

Solving (b): The period (T)

This is calculated as:

[tex]T = \frac{2\pi}{B}[/tex]

By comparison:

[tex]B =3[/tex]

So:

[tex]T = \frac{2\pi}{3}[/tex]

Solving (c): The shift

The phase shift is C

The vertical shift is D

By comparison:

[tex]C = \frac{\pi}{3}[/tex] --- phase shift

[tex]D =1[/tex] --- vertical shift

Answer:

Emma can read 30 pages per minute

Number of book pages 28

Step-by-step explanation:

Answer:

a) The standard error is s = 0.071.

b) Yes, as both sample sizes are above 30.

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Samples of size 86 drawn from population A with proportion 0.43

This means that [tex]n = 86, p = 0.43[/tex]. So:

[tex]s_A = \sqrt{\frac{0.43*0.57}{86}} = 0.0534[/tex]

Samples of size 60 drawn from population B with proportion 0.15:

This means that [tex]n = 60, p = 0.15[/tex]. So:

[tex]s_B = \sqrt{\frac{0.15*0.85}{60}} = 0.0461[/tex]

(a) Find the standard error of the distribution of differences in sample proportions A - B Round your answer for the standard error to three decimal places. Standard error=

This is:

[tex]s = \sqrt{s_A^2 + s_B^2}[/tex]

[tex]s = \sqrt{(0.0534)^2 + (0.0461)^2}[/tex]

[tex]s = 0.071[/tex]

The standard error is s = 0.071.

(b) Are the sample sizes large enough for the Central Limit Theorem. Yes or No?

Yes, as both sample sizes are above 30.

Answer:

[tex]P(T = 1) = \frac{3}{8}[/tex]

Step-by-step explanation:

The table, along with the relative frequency chart, state that the probabilities are:

[tex]P(T = 0) = \frac{1}{8}[/tex]

[tex]P(T = 1) = \frac{3}{8}[/tex]

[tex]P(T = 2) = \frac{3}{8}[/tex]

[tex]P(T = 3) = \frac{1}{8}[/tex]

Find the probability P(T=1)

As given by the table, and by the relative frequency chart, [tex]P(T = 1) = \frac{3}{8}[/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

x1 = 21.1 ; n1 = 53 ; s1 = 1.1

x2 = 20.7 ; n2 = 46 ; s2 = 1.2

The test statistic :

(x1 - x2) / √[(s1²/n1 + s2²/n2)]

(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]

0.4 / 0.2326682

Test statistic = 1.719

The degree of freedom using the conservative method :

Comparing :

Degree of freedom = n - 1

Degree of freedom 1 = 53 - 1 = 52

Degree of freedom 2 = 46 - 1 = 45

Smaller degree of freedom is chosen ;

The Pvalue from Test statistic, using df = 45

Pvalue = 0.0462

Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.

Answer:

Perimeter: 41.2 m

Area: 54.83 m^2

Step-by-step explanation:

REFER TO THE IMAGE ATTACHED AS A

GUIDE.

PERIMETER:

(ADD UP ALL THE LENGTHS OF EACH SIDE)

Must be all 6 sides (see image, I solved for the two missing lengths)

3.7 + 9.1 + 11.4 + 9.2 + 2.3 + 5.5 = 41.2

perimeter is 41.2 m

AREA:

(See image again)

Shape is divided into two rectangles:

Top rectangle area: 11.4 x 3.7 = 42.18 m^2

Bottom triangle area: 5.5 x 2.3 = 12.65 m^2

ADD:

42.18 m^2 + 12.65 m^2 = 54.83 m^2

The area of the whole figure is 54.83 m^2

HOPE THIS HELPS

Answer:25

Step-by-step explanation:

Answer:

the answer is 45 + 5-75 is equals to 30 +5

Answer:

Table could be first x = 2, y = 4, then x = 4, y = 8. It is proportional because both (x,y) values equal 1/2. The equation is x = 1/2y. Last, the table could be the same, or you could do first, x = 6, y = 12, then x = 12, y = 24, because they still equal 1/2.

Step-by-step explanation:

Answer:

345

Step-by-step explanation:

Answer:

11 because <.5 is rounded to the next ten

Answer:

1. zero

2. seven over eight

3. one over three

4. one

5. one over two

PLEASE GIVE BRAINLYIST!!

Answer:

Step-by-step explanation:

The perimeter is the dependent variable.  TRUE

The length of the side of the square is the dependent variable.  FALSE

The value of p(x) depends on the value of x.  TRUE

The length of the side of the square is the independent variable.  TRUE

The value p(x) can be found by multiplying p by x.  FALSE

The perimeter is the independent variable.  FALSE

Answer:

Step-by-step explanation:

Answer:

x = 62

Step-by-step explanation:

62 and x are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

Answer:

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

Answer:

18/48 and 15/40

Step-by-step explanation:

18/48 = 3/8

15/40 = 3/8

•°• 18/48 is equivalent to 15/40

Answer:

24

Step-by-step explanation:

the perimeter is all sides added up

therefore to solve for "z"

3z + 3z + 4z + 3 + 4z + 3 = 118

simplify

14z + 6 = 118

isolate z by first subtracting 6 from both sides and then dividing by 14 for both sides

z=8

plug z into side CB as AD and CB are congruent

3(8)

=24

Answer:

2

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A circle chart can be referred to as a pie chart. This is a chart that expresses each fraction of total data in degrees.

The set of data given is summed so as to determine the total value. Then each data in the set is expressed as a ration of the total value, which is multiplied by [tex]360^{o}[/tex]. This is to determine the degree of angles that represent each data in the data set. These angles in degrees can now be used to divide the sum of angles in a circle into wedges.

With each wedge in the circle showing the fractional relationship between each data and the total value in degrees.

Answer:

0.324

Step-by-step explanation:

Given that :

Success rate = 30%

p = 30% = 0.3

q = 1 - p = 1 - 0.3 = 0.7

Number of trials, n = 6

Probability of having exactly 2 successes ; x = 2

P(x = 2)

Usibgbtge binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 6C2 * 0.3^2 * 0.7^4

P(x = 2) = 15 * 0.3^2 * 0.7^4

P(x = 2). = 0.324135

P(x = 2) = 0.324

Answer:

s(8) = 1162

Step-by-step explanation:

We are told that the acceleration is;

a(t) = 18t + 16

Now, acceleration is the first derivative of velocity. Thus, we will integrate the acceleration function to get the velocity function.

v(t) = ∫a(t) = ∫(18t + 16)

v(t) = 9t² + 16t + c

We are told that at t = 0, v(0) = 16

Thus;

9(0)² + 16(0) + c = 16

c = 16

Thus;

v(t) = 9t² + 16t + 16

Also, the velocity is the first derivative of distance. Thus;

S = ∫v(t) = ∫9t² + 16t + 16

S = 3t³ + 8t² + 16t + c

At t = 0, s(t) = 10. Thus;

10 = 3(0³) + 8(0²) + 16(0) + c

c = 10

Thus;

s(t) = 3t³ + 8t² + 16t + 10

At t = 8;

s(8) = 3(8³) + 8(8²) + 16(8) + 10

s(8) = 1162

Answer:

it's the second one

Step-by-step explanation:

Answer:

x = 30

F = 130

G =  50

Step-by-step explanation:

f and g are supplementary which means they add to 180

5x-20 + 3x - 40 = 180

Combine like terms

8x - 60 = 180

Add 60 to each side

8x-60+60 = 180+60

8x = 240

Divide by 8

8x/8 = 240/8

x = 30

F = 5x -20 = 5*30 -20 = 150 -20 = 130

G = 3x-40 = 3*30 -40 = 90-40 = 50

Answer:

Because a straight line = 180, we can find x like this :

(5x - 20) + (3x - 40) = 180

Step 1 - collect like terms

8x - 60 = 180

Step 2 - Move terms around to isolate x

8x = 180 + 60

Step 3 - Divide both sides by 8

x = 30

Now you can find the value of the angles by plugging in x

∠f = (5 x 30) - 20

     = 130 degrees

∠g = (3 x 30) - 40

      = 50 degrees

We can check to see if this works by adding them up

130 + 50 = 180, so this is correct

Hope this helps! I would really appreciate a brainliest if possible :)