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Find the measure of the missing angles.

Answer:

-14.9 meters

Step-by-step explanation:

Answer:

-14 and 9/10 meters

, or

-14.9 meters

Step-by-step explanation:

Step 1: Regroup terms

5 and 7/10--20.6

Step 2: Convert 5 and 7/10 to an improper fraction. Use the rule "a and b/c=ac+b/c."

5×10+7/10--20.6

Step 3: Simplify  5×10  to  50

50+7/10-20.6

Step 4: Simplify 50+7  to  57.

57/10−20.6

Step 5: Simplify.

-149/10

Final Step 6: Convert to mixed fraction.

−14 and 10/9

Decimal Form: -14.9

The value of x in the triangle is 2.5√2

From the question, we have the following parameters that can be used in our computation:

The triangle

The value of x can be calculated using the following ratio

sin(30) = opposite/hypotenuse

Using the above as a guide, we have the following:

sin(30) = x/5√2

So, we have

x = 5√2 * sin(30)

Evaluate

x = 2.5√2

Hence, the value of x is 2.5√2

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The time taken by a student to finish a statistics exam can be modeled using the following cumulative distribution function: F(x) = 1 - e^-0.9, x > 0

Suppose that the time taken for a student to finish the exam is constant from student to student.

Then the mean number (to the nearest whole number) of students who will finish the exam in less than 1 hour for 12 students randomly selected is 7

.Step-by-step explanation:

The cumulative distribution function is given by, F(x) = 1 - e^-0.9, x > 0

Now, let X be the time taken by a student to finish the statistics exam

Then, X ~ Exp (0.9 )

We know that the cumulative distribution function (CDF) of the exponential distribution with parameter λ is given by,F(x) = P(X ≤ x) = 1 - e^(-λx) , x > 0Here, λ = 0.9.

Therefore, the CDF of X is given by,F(x) = P(X ≤ x) = 1 - e^(-0.9x) , x > 0

The probability that a student finishes the exam in less than 1 hour is, P(X ≤ 1) = F(1) = 1 - e^(-0.9) ≈ 0.5271

This means that out of 12 students randomly selected,

The expected number of students who finish the exam in less than 1 hour is,μ = np= 12 × 0.5271≈ 6.3252

Hence, the mean number (to the nearest whole number) of students who will finish the exam in less than 1 hour for 12 students randomly selected is 7.

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Answer:

-11

Step-by-step explanation:

Triangles have 180 degrees

using the vertical angle theory we know that 80 and 60 are angles

We can subtract them from 180 to get 40 left

this minus 51 is -11

x is -11

Answer:

m=7, n=-1. (7, -1).

Step-by-step explanation:

4m+8n=20

-4m+2n=-30

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

10n=-10

n=-10/10

n=-1

4m+8(-1)=20

4m-8=20

4m=20+8

4m=28

m=28/4

m=7

Answer:

(7 , 5)

Step-by-step explanation:

Add all the x-axis then divide by 3

7 + 3 + 11 = 21

21/3 = 7

Add all the y-axis then divide by 3

9 + 3 + 3 = 15

15/3 = 5

So answer will be (7,5)

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum o

The coordinates of the centroid is (7, 5).

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The vertices of the triangle in the diagram below are:

A(7,9), B(3,3), and C(11,3).

Now,

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum of the y-coordinates of the vertices ÷ 3

Now,

x = 7 + 3 + 11 / 3 = 21/3 = 7

y = 9 + 3 + 3 / 3 = 15/3 = 5

Now,

The coordinates of the centroid is (7, 5).

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The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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Answer:

x = 2

Step-by-step explanation:

5x - 4 = 6

First, you add 4 to 6 and you get:

5x = 10

Then you divide 5 to each side and you get:

x = 2

Hope this helps! :)

Answer:

3

Step-by-step explanation:

when two lines are parallel, they have the same slope

you can find slop by changing the equation to slope intercept form (y=mx+b), m being the slope

slopes:

1. -2

2. -1/2

3. 2

4. 1/2

Answer:

3. y-2x=-8

Step-by-step explanation:

We can find the value if we write the complete expression:

Considering only two factors at a time, and knowing that - * - = +, we have:

Therefore, (-2)^4 = 16

Answer:

-16!!

-2x-2x-2x-2= -16.

Answer:

Scottie = 30

Lighthouse = ? (can't see height in image)

The boat = 0

The fish = -10

Distance between Scottie and fish = 40

Reason:

It starts off by saying that Scottie is 30 meters above, so that is solved. Then it says a height for the lighthouse, which I cant see, but I would figure it out if shown. If a boat is in an ocean or sea, it's always on sea level, which is 0. The fish is 10 meters below sea level, or 0, making it -10. If you add on to -10, where the fish is, until it gets to 30, where Scottie is, you get 40 meters of distance.

The true statement is: "Octave is the name of a particular interval size."

In music theory, an octave refers to the interval between two pitches where the higher pitch has a frequency that is exactly twice that of the lower pitch. It represents a doubling or halving of the frequency. For example, if we start on the note A and move up to the next A, we have traversed an octave.

An interval, on the other hand, refers to the distance between two pitches. It is the numerical representation of the difference in pitch between two notes.

The statement mentioning "interval as the name of a particular octave size" is incorrect because the octave is a specific interval size, not the other way around.

The statement suggesting that "the fifth is a kind of octave" is also incorrect. The fifth is a specific interval that represents the distance of five diatonic scale steps between two pitches.

Lastly, the statement that "a synonym for distance is octave" is not true. While an octave represents a specific interval size, the term "distance" is a more general term that can refer to the measurement between any two pitches, regardless of the specific interval size.

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Answer:

The Trout will have to jump 49 cm in order to catch the insect

Step-by-step explanation:

Here, we want to calculate the distance the Trout has to jump in order to catch the Insect

To calculate this, we need to know the difference in the distances

From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake

The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;

17 + 32 = 49 cm

Answer: 40%.

Step-by-step explanation:

From the table : Total Seniors = 2+3= 5

Number of male seniors = 2

If a student is selected at random find the probability the student is a male given that it's a senior:

P(Male | senior)\(=\dfrac{\text{Number of male seniors}}{\text{Total seniors}}\)

\(=\dfrac{2}{5}\)

In percent, \(\dfrac{2}{5}\times100=40\%\)

Hence, the probability the student is a male given that it's a senior.  =40%.

The probability of the student is a male senior is 7%.

Given, here from the 2- way table the total no. students will be 30.

We have to find out the probability of the student select at random, student is a  senior male .

We know that, the probability of an event E, will be

\(P(E)=\dfrac{No.\ of \ favaurable\ outcomes}{Total\ outcomes}\)

Now,

\(P( Senior\ male)= \dfrac{2}{30} \\\\P( Senior\ male)=0.06\\\)

Representing it in percentage as,

\(P( Senior\ male)=0.06666\times100\%\\P( Senior\ male=6.66\%\)

Hence the nearest whole percent will be 7%.

Thus probability of the student is a male senior is 7%.

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Answer:

\({ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches\)

The expression that can be used  to find the temperature at noon is

–22.4 + 12.8 option B

Generally, The word "temperature" refers to the degree to which something is hot or cold and may be described using a number of different scales, such as Fahrenheit and Celsius.

The direction in that heat energy will spontaneously flow is indicated by temperature; specifically, it will flow from a hotter body (one that is at a higher temperature) to a colder one (one at a lower temperature).

In conclusion,  the temperature was 22.4°F below zero meaning

-22.4F in mathematical terms

and  12.8°F above zero in mathematical terms

Therefore, –22.4 + 12.8 is the expression that can be used  to find the temperature at noon

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Answer:

the answer is 19

Step-by-step explanation:

add a 1 to the 9 to make it a 10 add 10+10 to get 20 then subtract 1 to get 19. hope this helps :)

The produce a 95% confidence interval with a margin of error of 4% sample size of 451 the proportion of people eating breakfast is 75%.

The required sample size for a 95% confidence interval with a margin of error of 4% (0.04) and a proportion of 75%,

n = (Z² × p × (1-p)) / E²

where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

p = proportion of people eating breakfast (expressed as a decimal, so 75% is 0.75)

E = margin of error (0.04)

n = (1.9² × 0.75 × (1-0.75)) / 0.04²

n =(3.8416 × 0.75 × 0.25) / 0.0016

n = 0.7209 / 0.0016

n = 450.56

a fractional sample size, to round up to the nearest whole number.

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The The function is continuous.

A is the answer

Answer:

Step-by-step explanation: The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph  by  finding  the change  in y and the change in x.

Answer:

1) ---> -1/26

2) ---> -4/1

3) ---> 11/2

4) ---> -8/11

Answer:

rsdjsdn

Step-by-step explanation:

The total number of ways/ permutation that A occupies first position is 24 ,  A occupies the first position, and B the second is 6 and a appears before b is 10 ways.

What is permutation ?

Permutation is a meeting of objects in an exceedingly definite order. The members or components of sets square measure organized here in an exceedingly sequence or linear order.

Main body:

A) a occupies the first position-

As A is first, and arrange the remaining letters.  letters (B,C,D,E,F) can be arranged as-

4*3*2*1 = 24 ways

B) a occupies the first position, and b the second

As A is first and b is just after it , there are 5 position out of which 2 are taken by A, B in order , so number of ways they can be arranged is

3*2*1 = 6 ways

C) a appears before b

in this part there is no  condition that a appears just before b , so b can be places anywhere after A.

after fixing A at first place , B can be placed at 4 places.

after fixing A at 2nd place , B can be placed at 3 places.

after fixing A at 3rd place , B can be placed at 2 places.

after fixing A at 4th  place , B can be placed at 1 places.

total ways = 4+3+2+1 = 10

Hence the answer to these parts are 24, 6,10

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A histogram of the data distribution is shown in the image below.

In this scenario and exercise, you are required to create a histogram to show the data distribution. First of all, we would determine the midpoint, absolute frequency, relative frequency, and cumulative frequency;

Midpoint                                      Absolute frequency      Rel. frequency

[60, 70] = (60 + 70)/2 = 65                  1 + 1 = 2                        0.25

[70, 80] = (70 + 80)/2 = 75                  1 + 1 = 2                         0.25

[80, 90] = (80 + 90)/2 = 85                 1 + 1 = 2                         0.25

[90, 100] = (90 + 100)/2 = 95              1 + 1 = 2                         0.25

Mathematically, the relative frequency of a data set can be calculated by using this formula:

Relative frequency = absolute frequency/total frequency × 100

Relative frequency = 0.0225/9 × 100 = 0.25

For the cumulative frequency, we have:

0.25

0.25 + 0.25 = 0.50

0.50 + 0.25 = 0.75

0.75 + 0.25 = 1

In conclusion, the y-axis of the histogram would be labeled frequency while the x-axis would be x for the independent variables.

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Since the interest rate is 5%. She needs to express the percentage as a decimal.

In order to do it, she needs to divide 5 by 100, so:

Answer:

r = 0.05

Answer:

side A should be about 44cm

Answer:

C) 40

Step-by-step explanation:

For every one day your work is 5 hours.

1 day = 5 hours

Set up a proportion so it would be:

\(\frac{1 day}{5 hours} = \frac{4 days}{x hours}\)

4 days x 5 hours = 20 hours/week

So now you know you know you work 20 hours/week, then multiply by 2 since they're asking how many hours will you work in two weeks:

20 hours x 2 weeks = 40 hours in two weeks

I hope this helps you

Answer:

780 students

Step-by-step explanation:

Take 40% as 0.4

Then do 312÷0.4= 780 students

Answer: 780

Step-by-step explanation:

Let x be total of the students in the school.

Then ,this X is equivalent to 100%

So, 40=312 what about 100

This gives you 780