A class has 25 students in it. 4 students drop the class. What is a reasonable estimate for the percentage of students that dropped?

Answer:

66.9 degrees

Step-by-step explanation:

The Law of Sines states that a/sinA = c/sinC. Plugging in the values for c, a, and M < A, we get:

71/sin40 = 102/sinC

Cross multiplying, we get:

102(sin40deg) = 71(sinC)

Now, we simplify the left side and get:

65.56 = 71(sinC)

Next, we divide 65.56 by 71 to get:

0.92 = sinC

Taking the inverse sign we get:

C = 66.9 degrees

Answer:

(3.5,4)

x coordinate =

[tex] \frac{5 + 2}{2} [/tex]

= 3.5

y coordinate =

[tex] \frac{ - 1 + 9}{2} [/tex]

= 4

midpoint = (3.5,4)

Answer:

(  3.5,4)

Step-by-step explanation:

To find the midpoint

Add the x coordinates together and divide by 2

(5+2)/2 = 7/2 = 3.5

Add the y coordinates together and divide by 2

(9+-1)/2 = 8/2 = 4

( 3.5,4)

Answer:

80 cube units

Step-by-step explanation:

Answer:

330.00cm²

Step-by-step explanation:

find the area of both circles and subtract the smaller one from the bigger one.

area of a circle= πr²

π wasn't given so I will use 22/7

so area of the bigger circle = 22/7 × 11²

=22/7 × 121

=380.28cm²

area of the small circle=22/7 × 4²

= 22/7 × 16

= 50.28cm²

Area of the shaded portion = 380.28 - 50.28

= 330.00cm²

Answer:

13/3

Step-by-step explanation:

Write as a fraction first,

0.65/0.15

convert decimal to fractions,

13/20/3/20 = 13/3

2^3 * 3^1

Go step by step. 24 = 2 x 12. 12 = 2 x 6. 6 = 2 x 3. We can't factor any more.

Therefore, we have 12 = 2 x 6, and since 6 = 2 x 3, we get 12 = 2 x 2 x 3.

Then 24 = 2 x 12, and 12 = 2 x 2 x 3, so 24 = 2 x 2 x 2 x 3.

There are 3 2's and 1 3's, so it's 2^3 * 3^1.

Hope that helped,

-sirswagger21

Answer:

24=2*12=2*6=2*3

Step-by-step explanation:

I could not draw the tree diagram

to do it you take a prime number it is divisible by and a composite number it is divisible by and you prime factorise the composite number and repeat until you get prime numbers

Answer:

12 to the power of -2 is 0.00694444444

Step-by-step explanation:

When ever doing a number to the power of a negative number, the result will always be a fraction of a number.

Or

Fraction:

1/12^2

which is

1 / 144

Percentage:

0.00694444444 * 100 = 0.694444444%  

Hope this helps, have a good day :)

(brainliest would be appreciated?)

The simplest form of the given expression [tex]12^{-2}[/tex] is 1/144.

The given expression is,

[tex]12^{-2}[/tex]

Here we can see that 12 has inverse power of 2.

Simplify it using basic rules of exponents.

To do so, we need to understand that a negative exponent indicates that the base should be inverted.

In other words, [tex]12^{-2}[/tex] is the same as 1/12²

To simplify this further,  

Evaluate 12², which is,

12² = 12 x 12

     =  144

Therefore, 1/12² can be expressed as 1/144.

Hence,

In the simplest form, we can write [tex]12^{-2}[/tex] as 1/144.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

(-3 ÷ 4)x^2 + 6x

Step-by-step explanation:

Data mentioned in the question

Maximum height = 12m

Number of seconds = 8

Height = 3m

Depend on the above information, the quadratic equation is shown below:

As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative

Now it is given that

a × x ^ 2 + bx + c =0

We can considered that

x = 0

x = 8

As {0.8} are intercepts of x

When x = 0, then it is

a × 0 ^ 2 + b(0)  + c = 0 .................... (i)

Hence 0 = 0

Now x = 8, it is

a × 8 ^ 2 + b(8)  + c = 0

Hence a(8)^2 + b(8) + c =  0 ..................(ii)

As it can be seen that in the first equation c must be zero

Whereas the second equation is

64a + 8b = 0

i.e.

8a = -b or a = -b ÷ 8

Now according to the quadratic function, it presented

(-b ÷8)x^2 + bx + 0

So, the parabola vertex is (4, 12)

Now place this in the place of a

(-b ÷ 8)(4)^2 + b(4) = 12

And for calculating this b, all terms must be multiplied by 8

That appears

-b(16) + 32b = 96

16b = 96

So, b = 6.  

As a = -b ÷8

a = -6 ÷ 8

a = -3 ÷4

So, the equation is

= (-3 ÷ 4)x^2 + 6x

Hence, this is the equation

Answer:

The error made here is a Type I error.

Step-by-step explanation:

A Type I error is the rejection of a null hypothesis (H₀) when indeed the null hypothesis is true. It is symbolized by α.

A Type II error is failing to discard a null hypothesis when indeed the null hypothesis is false. It is symbolized by β.

The hypothesis in this case is defined as follows:

H₀: The product does not change the height of the plant.

Hₐ: The product makes the plant grow taller.

The sample suggests that the product makes the plant grow taller, but it actually does not change the height of the plant.

So, the sample suggests to reject the null hypothesis when in fact the null hypothesis is true.

Thus, the error made here is a Type I error.

Answer:

Yes it will occur

Step-by-step explanation:

The lobby measures 45 feet by 45 feet

Area of the lobby = 45 * 45

=2025 ft^2

So, the lobby has 2025 tiles

subtract 1 black tile in the center

2025 tiles - 1 black tile =2024 tiles

The number of blue tiles and black tiles is 2024 tiles

He wants the outer edge to be the same color as the center tile so, divide by 2

2024/2 = 1012 tiles

The number of tiles in the outer edge is 1012 tiles and the number of tiles in the center is 1012 tiles

Answer:

1.417

Step-by-step explanation:

102/72=1.417

Answer:

The answer is D. A reflection, a rotation and a translation will prove that shape 2 is congruent to shape 1.

Answer:

13x3= 39

Step-by-step explanation:

10x3=30

3x3=9

30+9=39

Hope it helps!

Answer:

Compression, stirring, and friction all increase heat

Step-by-step explanation:

I did a lesson on it and got it right

Answer:

The last option

Step-by-step explanation:

When you have a fraction as a power, the denominator goes to the root, so in this case, it becomes root 4. The base, 5, goes to the outside, and the numerator 1, goes beside the x.

Hope this helps!

Answer:

star or asterisk if you are talking about (*)

Answer:

(*) is similar to (×)

and it means multiply

Answer:

101

Step-by-step explanation:

Given the following :

Number of soldiers = 10201

They are queued such that the number of queues = number of soldiers in each queue

Let number of queues = q

Therefore, if number of queues equals number of soldiers per Q,

Then ;

q × q = 10201

q^2 = 10201

Take the square root of both sides

q = √10201

q = 101

Number of soldiers per queues = 101

Answer:

x = -C / (A + b)

Step-by-step explanation:

Without given values for the constants A, b, and C (Assuming they are constants), the best we can do is to isolate the variable x.  Let's proceed to solve for x.

Ax + bx + C = 0

x (A + b) + C = 0

x (A + b) = -C

x = -C / (A + b)

So now, when you get the values of the constants A, b, and C, you can plug those in to solve for variable x.

Cheers.

Its $2.99 because 6.94-3.95=2.99 so $2.99

Answer:

$2.99

Step-by-step explanation:

To find the value of the drawing tablet, we can use the known total cost and the cost of the pencils.  Let's build an equation, where x represents the cost of the drawing tablet:

x + 3.95 = 6.94

Now let's solve the equation for x to find the cost of the tablet.

x + 3.95 = 6.94

x + 3.95 - 3.95 = 6.94 - 3.95

x = 2.99

So the cost of the drawing tablet is $2.99.

Cheers.

Answer:

31.6666666 miles / gallon

Step-by-step explanation:

Take the miles and divide by the gallons

95 miles / 3 gallons

31.6666666 miles / gallon

Answer:

9, 13, 17, 21

Step-by-step explanation:

If x=2,

y=1+4(2)

y=9

This goes on, like a pattern. If x increases by 1, y inreases by 4. So, if y=3, x=13. If x=4, y=17, and so on.

Answer:

$18

Step-by-step explanation:

$18.02 rounds to $18

Answer:

  $17

Step-by-step explanation:

Rounded, the listed numbers are ...

  12 + 5 -1 +3 -2 = 17

The estimate of total cost is $17.

Answer:

(-3,6) (1,8) (2,10) and so on.

Answer:

The answer to the nearest hundredth is 0.07 liters per minute

Step-by-step explanation:

In this question, we are told to express the given metric in liters per minute.

The key to answering this question, is to

have the given measurements in the metric in which we want to have the answer.

Hence, we do this by converting milliliters to liters and seconds to minute.

Let’s start with milliliters;

Mathematically;

1000 milliliters = 1 liters

10 milliliters = x liters

x * 1000 = 10 * 1

x = 10/1000

x = 1/100

x = 0.01 liters

For the seconds;

We need to convert the seconds to minutes;

Mathematically;

60 seconds = 1 minute

8.5 seconds = y minutes

60 * y = 8.5 * 1

y = 8.5/60

y = 0.14167 minutes

Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;

Hence, we have ;

0.01/0.14167 = 0.070588235294

Which to the nearest hundredth is 0.07

Answer:

3 1/6 cups of flour.

Step-by-step explanation

Answer:

E) 45

Step-by-step explanation:

Since b is 90 degrees, and lines CB and BA are equal (as seeen with the 2 lines across them) we can assume that this angle is 45 degrees, half or 90 degrees.

Angle C is also equal to angle A

Answer:

E

Step-by-step explanation:

Using the fact that the sum of angles in a triangle is 180 degrees, we can write the following equation to solve for 3x:

3x + 3x + 90 = 180

3x + 3x = 90

2 * 3x = 90

3x = 45°

Answer:

Step-by-step explanation:

C=153.86153...

100000C=15386153.86153...

subtract

99999C=15386000

C=15386000/99999

2 π r=15386000/99999

r=7693000/99999π≈24.5

To add fractions with different denominators you must find the highest common factor (the highest number they both go into).

For 1 - The highest common factor is 8, 2x4 = 8, 4x2 = 8

now, whatever you do to the bottom, you must do to the top.

So:

3 x 2 = 6 and 5 x 4 = 20

Therefore, your answer would be 6/8 + 20/8

You do that for the rest of them as well, do you get it?

Answer:

    3.  4/15 + 4/5 = 4/15 + 12/15 = (4+12)/15 = 16/15

    5.  2/3  + 7/10 = 20/30 + 21/30  = (20+21)/30 = 41/30

Answer:

A. 183 meters

Step-by-step explanation:

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters

Find distance BC

Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)

Cos (60°)=1/2

BC=a

AB=500

Cos (60°)=BC / AB

1/2=a/500

1/2 * 500=a

250=a

a=250m

Find distance AC

Sin(60°)=AC/AB (opposite side divided by hypotenuse)

Sin(60°)=√3/2

AC=b

AB=500

Sin(60°)=AC/AB

√3/2=b/500

√3/2 * 500=b

250√3=b

b=433m

Distance AC and BC=AC+BC

433m+250m=683m

Subtract the distance AB from AC+BC

= 683m - 500m

=183m

Answer is A. 183 meters

Answer:

A. 183 meters

Step-by-step explanation:

sin(60) = x/500

= 433

tan(60) = 433/x

= 250

This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.

683-500=183!

Answer:

The minimum score necessary to be in the top 10% of the distribution is 628.

Step-by-step explanation:

Given that a normal distribution has a mean of μ = 500 and a standard deviation = σ= 100

The Significance level  for this test = 10 % = 0.1

For one tailed test ∝= 0.1 the value of Z∝= ±1.28

Since it a normal distribution the test statistic used is

Z= X= u / σ/√n   ( taking n= 1)

1.28 = X- 500/100/√1

128 + 500 = X

or X = 628

The minimum score necessary to be in the top 10% of the distribution is 628.