pls help me
In the figure, and .


(a)Write an equation to find . Make sure you use an "" sign in your answer.


(b)Find the degree measure of each angle.

Answer:

Option (2)

Step-by-step explanation:

Given in the question,

ln(3) = 1.10

ln(6) = 1.79

We have to calculate the value of ln(2).

Since ln(6) = ln(3 × 2)

                = ln(3) + ln(2) [From the property of logarithm, ln(a×b) = ln(a) + ln(b)]

         1.79 = 1.10 + ln(2)

         ln(2) = 1.79 - 1.10

         ln(2) = 0.69

Therefore, value of ln(2) will be 0.69.

Option (2) will be the answer.

Answer:

The answer is 0.69.

Step-by-step explanation:

Answer:

The answer is b. 0.029

Step-by-step explanation:

Margin error for a sample size of 1200 is 2.9%.

The Margin error formula can be represented as:

\(z \times \: \sqrt{ \frac{p0(1 - po)}{n} } \)

Where

z = critical value

n = sample size

\(p0 = sample \: proportion\)

Answer:

1. Placebos are used to randomly assign participants to treatment or control ?

False.

2. Using a random chance procedure to assign subjects to treatment or control reduces bias ?

True.

3. A well-designed placebo allows an experiment to be conducted blind. ?

False.

4. In an observational study, the investigators assign the subjects to treatment or control. ?

False.

5. In a blind experiment, the subjects do not know whether they are in the treatment group or control group. ?

True.

6. Placebos are used so that even the people who do not receive a treatment can benefit from the study. ?

True.

7. A placebo is used in all controlled experiments. ?

True.

8. Controlled experiments can be randomized or nonrandomized.

True.

Step-by-step explanation:

Placebos are not techniques for conducting experiments.  They are devices or drugs used when conducting a controlled study or research involving the administering of items to two different groups, such that one group gets the real item while the other group gets another item that is made to look like the real item without the participants knowing the difference. The purpose is to enable the results from the control group to be compared to the results of a treatment group. Randomization is the process used to assign subjects to treatment or control groups in order to reduce bias.

Step-by-step explanation:

The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.

The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).

Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).

Function of graph:
By playing around in a graphing calculator, I got the equation to be

2 (cos (x + pi/2)).

the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.

Answer:

$279.00

Step-by-step explanation:

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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The number 4.4 is between \(4 \frac{1}{3}$\) and \(4 \frac{3}{5}$\) on the number line, so the answer is (D) 4.4.

To solve this problem, we need to convert the mixed numbers 4 1/3 and 4 3/5 to improper fractions and then find a number between them on the number line.

\(4 \frac{1}{3}$\) can be written as \(\frac{13}{3}$\) and \(4 \frac{3}{5}$\) can be written as \(\frac{23}{5}$\).

To find a number between \(\frac{13}{3}$\) and \(\frac{23}{5}$\), we need to find a common denominator. The least common multiple of 3 and 5 is 15, so we can rewrite the fractions with a denominator of 15:

\($\frac{13}{3} = \frac{65}{15}$\)

and

\($\frac{23}{5} = \frac{69}{15}$\)

Now we can see that the number \(\frac{67}{15}$\) is between \(\frac{65}{15}$\) and \(\frac{69}{15}$\), and we can convert it back to a mixed number:

\($\frac{67}{15} = 4 \frac{7}{15}$\)

Therefore, the number 4.4 is between \(4 \frac{1}{3}$\) and \(4 \frac{3}{5}$\) on the number line, so the answer is (D) 4.4.

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Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

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Answer:

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

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer:

  1/275,625 ≈ 3.641×10^-6

Step-by-step explanation:

There are 65×65×65 = 274,625 possible combinations. The probability of guessing the correct one is 1/275,625 ≈ 3.641×10^-6.

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

$15.15 x 5 hrs= $75.75

$156.44 - $75.75= $80.69

The answer is $80.69

Answer:

24

Step-by-step explanation:

12 + 12 =24

Hah thats all i got to say lolololol

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

The equation of the line passing through the two points (4,2) and (-3,1) is 7y-x-10=0

Equation of a line is an algebraic form of showing the set of points, which together forms a line in a coordinate system.

Given the line passes through the points (4,2) and (-3,1)

Here, x1=4, y1=2, x2=-3, y2=1

So, the slope of the line (m)= \(\frac{y2-y1}{x2-x1}\\\)=\(\frac{1-2}{-3-4}\\\)=\(\frac{1}{7}\)

Now we know, the equation of the line is given as,

y-y1=m(x-x1)

Putting the value of y1 and x1 in the equation we get,

y-2=\(\frac{1}{7}\)(x-4)

7y-14=x-4

7y-x-10=0

Hence the equation of the line that passes through the two points (4,2) and (-3,1) is 7y-x-10=0.

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: The fraction 3/9

Now we can simplify the fraction further by dividing both the numerator and denominator by 3

let p=3/9

then p=3/3 / 9/3

       p= 1/3

Hence, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

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The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.

To find the percent change or growth rate of a quantity between two different values, you can use the formula:

Percent change = ( new value - old value ) / old value x 100%

The new value would be the population of the village after 10 years which is 450 people.

The old value is the initial population of the village which is 400

The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %

= 12. 5 %

The growth rate for the village is therefore 12. 5 % every ten years.

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Since the graph has a line from 0 comma 0 and going through 25 comma 8, C. Yes, it is proportional because it is a line that goes through (0, 0).

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

By critically observing graph of this proportional relationship (see attachment), we can logically deduce that it starts from the origin (0, 0) and as such, it is proportional.

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First, let's put the line equation in the form ax + by + c = 0:

Now, to find the distance to a point (x1, y1), let's use the formula:

So the distance is 2.83.

Answer:

42°

Step-by-step explanation:

According to Exterior Angle Theorem,

an exterior angle of a ∆ is equal to the sum of the opposite interior angles.

So,

h+96°=138°

h=138°-96°

h=42°

Answer:

-0.375

All you do is divide the two numbers  (-3 divided by 8)

Answer:

-0.375

Step-by-step explanation:

(❁´◡`❁)

The area of the composite figure is 336 centimeters²

Since, A right triangle or right angled triangle, or more formally an orthogonal triangle, formerly referred as rectangle triangle, is a triangle in which one angle is a right angle, that is in which two sides are perpendicular to each other. It forms the basis of trigonometry on the basis of its sides and angles.

Now, The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm2 and m2. Area of a shape is a two dimensional quantity.

Divide the composite figure into smaller shapes.

A is a rectangle with width 6cm and length 12cm

Hence, Area of A= 12 x 6 = 72cm²

B is a triangle with base 6cm and height 8cm

Therefore area of triangle=1/2 x base x height

= 1/2 x 6x 8 = 24cm²

C is a rectangle with breadth 30cm and length 8cm

Area of figure C =30  x 8 = 240cm²

So, total area of the figure is =(72+24+240)cm²

=336cm²

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Complete question is,

What is the area of this composite figure?

A figure is comprised of 1 rectangle and 2 triangles. The rectangle has a length of 16 centimeters and width of 10 centimeters. Both triangles have a base of 16 centimeters and height of 6 centimeters.

96 centimeters squared

160 centimeters squared

208 centimeters squared

256 centimeters squared

Answer:

2

Step-by-step explanation:

I think

Answer:

227.5

Step-by-step explanation:

65 mhp

after 3.5 h

Just multiply

65 x 3.5 = 227.5

Answer:

227.5

Step-by-step explanation:

multiply 65 mph to 3 1/2 [3.5 (estimated)] to calculate the distanbce travelled

Answer:

Multiplicative inverse property.

Step-by-step explanation:

We have been given an equation.

HOPE THIS HELPS!!!

The mean and standard deviation of the x sampling distribution for each of the following sample sizes will be \(N(100,10/\sqrt{41} ), N(100,10/\sqrt{130} )\).

Suppose X has a distribution with mean \(\mu\) and standard deviation \(\sigma,\)then,

the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with a mean equal to the mean of X, and a standard deviation equal to \(\sigma/\sqrt{n}\)

Symbolically, we write it as:

\(X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )\)

A random sample is selected from a population with a mean = of 100 and a standard deviation = of 10.

The mean and standard deviation of the x sampling distribution for each of the following sample sizes.

If N=41

\(X \sim N(100, 10) \implies \overline{X} \sim N(100,10/\sqrt{41} )\)

If N=130

\(X \sim N(100, 10) \implies \overline{X} \sim N(100,10/\sqrt{130} )\)

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