A random sample of the students at two high schools were asked whether they were satisfied or unsatisfied with their school's variety of
extracurricular activities. The results are summarized in the table.
Satisfied Unsatisfied Total
37
23
60
High School A
High School B
Total
42
18
60
79
41
120
What is the approximate probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities?
O A. 0.308
OB. 0.468
O c. 0.617
OD. 0.658
O E 0.790

.........................................

Answer:

f(-1) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x² + x³

f(-1) is x = -1 for the function f(x)

Step 2: Evaluate

Answer:

Answer:

B) 68.91 inches

Step-by-step explanation:

To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.

We are also given that the diameter is 28 inches.

Since arc length and area are proportional to the central angle, we can create the following equality:

angle of VYX/360 = arc length of VYX/circumference

We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.

282/360 * 28*pi = arc length of VYX

Thus, the length of VYX = 68.90559887 inches

Thus, the correct answer is B, 68.91 in.

Answer:

sqrt. 244

Step-by-step explanation:

a^2 + b^2 =c^2

10^2 + 12^2 =244

c^2 =244

c= sqrt. 244

Answer:

if x+y equal 90

and z equal 2 sqrt 61

if you want the real values of the x and y iam not sure but you have to use ratios and proportions Formula for example 24k=90

k =15/4

y=10k

x=12k

like this hopefully its helpful

Answer:

hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

Thanks so much for the free p0ints! hereś a meme to make you laugh!

Answer:

y=25

Step-by-step explanation:

the straight line is 180

so, 180-115=65

so, now we know x=65

triangle =180

180-65-90=25

Answer:

[tex]\tan (30 + 60) = unde f ined[/tex]

Step-by-step explanation:

Given

[tex]\tan (A + B) = \frac{\tan A + \tan B}{1 - \tan A * \tan B}[/tex] ---- right expression

[tex]A = 30^o; B = 60^o[/tex]

Required

Solve

[tex]\tan (A + B) = \frac{\tan A + \tan B}{1 - \tan A * \tan B}[/tex]

Substitute: [tex]A = 30^o; B = 60^o[/tex]

[tex]\tan (30 + 60) = \frac{\tan 30 + \tan 60}{1 - \tan 30 * \tan 60}[/tex]

In radical forms, we have:

[tex]\tan (30 + 60) = \frac{\sqrt 3/3 + \sqrt 3}{1 - \sqrt 3/3 * \sqrt 3}[/tex]

[tex]\tan (30 + 60) = \frac{\sqrt 3/3 + \sqrt 3}{1 - 1}[/tex]

[tex]\tan (30 + 60) = \frac{\sqrt 3/3 + \sqrt 3}{0}[/tex]

[tex]\tan (30 + 60) = unde f ined[/tex]

Answer:

9

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

a= (a+b/2)(H)

9+17=26/2=13x6= 78

do bedmas

hope this helps

Answer:

0.3257

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 496 ; Standard deviation = 110

For :

P(x > 545.7)

We obtain the standardized, Z score

Z = (545.7 - 496) / 110

Z = 49.7 / 110

Z = 0.4518

Hence, using the Z distribution table :

P(Z > 0.4518) = 1 - P(Z < 0.4518)

P(Z > 0.4518) = 1 - 0.67429

P(Z > 0.4518) = 0.32571

Answer:

4

Step-by-step explanation:

Two cooies plus two cookies is four cookies.

Answer:

4.7

Step-by-step explanation:

14.2 - 9.5 = 4.7

hope that helps!

Answer:

[tex]\=x=2.1[/tex]

[tex]\sigma=2.03[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size[tex]n=100[/tex]

Probability of  a defective widget [tex]P=0.021[/tex]

Generally the equation for binomial trial is mathematically given by

 [tex]q=1-p[/tex]

 [tex]q=1-0.021[/tex]

 [tex]q=0.979[/tex]

Since X is binomial random variable with functions of n and p,The equation of mean \=x

 [tex]\=x=E(x)[/tex]

  Where

  [tex]E(x=n*p)[/tex]

 [tex]\=x=100*0.021[/tex]

 [tex]\=x=2.1[/tex]

Generally the equation for variance \sigma is mathematically given by

 [tex]\sigma=\sqrt{nqp}[/tex]

 [tex]\sigma=\sqrt{200*0.021*0.979}[/tex]

 [tex]\sigma=2.03[/tex]

Answer:

4 nickels to 1 dime

Step-by-step explanation:

the steps are in the pic above I gotta get this to 20 characters bye!

Answer:

15 games

Step-by-step explanation:

0.8 is 80% in a fraction form (80/100), g is the number of games played and 12 is the games won.

Answer:

D

Step-by-step explanation:

The volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

A sphere with a diameter of 9 units fits exactly in the clear glass cube.

Diameter = 9 units

The radius r = 9/2 units

The volume of the sphere:

[tex]\rm V = \dfrac{4}{3} \pi (9/2)^3[/tex]

[tex]\rm V = \dfrac{4}{3} \pi (4.5)^3[/tex]

The volume of cube = a³

a is the side length

The volume of the cube = (9)³

The volume, in cubic units, of empty space in the cube:

[tex]=(9)^3- \rm \dfrac{4}{3} \pi (4.5)^3[/tex]

Thus, the volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.

Learn more about the sphere here:

brainly.com/question/11374994

#SPJ6

Answer:

the answer will be 7.50

Step-by-step explanation:

Answer:

Options-2

Option-4

Step-by-step explanation:

two options have Volume greater than 100 units³

remember the formula of Volume of rectangular prism

given that,

thus substitute:

simplify multiplication:

since 144>100 it's one of our answer

remember the formula of triangular prism

given:

Thus substitute:

simplify multiplication:

since 144>100 it's our answer

the other options don't satisfy the condition

The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The two figures that will have a volume greater than 100 cubic units are:

A rectangular prism with dimensions of 2 by 12 by 6

Volume = length x width x height

= 2 x 12 x 6

= 144 cubic units

A cube with a side length 4

Volume = side x side x side

= 4 x 4 x 4

= 64 cubic units

Therefore,

The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ3

Answer:

The correct ratio is 40/41

Answer:

A)  16 / 9           B) 7/9

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer:

24 miles per gallon

Step-by-step explanation:

to find the unit rate you divide 192 by 8 and that is 24

so it takes Dominic 1 gallon to drive 24 miles

hope this helps!

Answer:

is that a unit assesment?

Step-by-step explanation:

Answer:

Add I think

If there is a plus sign shouldnt it be adding

Answer: B

Step-by-step explanation:

First, simplify the main expression. The answer is 21.

Then simplify A. It is -106. That is not equal to 21 so A is wrong.

Then simplify B. That is 21. That means B is correct and you don’t have to solve C or D.

Sir there seems to be a picture in your pixels.

i would assume the measurements (from left to right) is 34m 14m 20m and 14m

find the area of the triangle so split the 24 in half 12 and 12

then multiply 12*14 which is 168

i would assume the area is 168m^2

then multiply by 20m

3360m ^3

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]

Calculating the sampling distribution of the sample mean:

[tex]\to \mu=\mu_\bar{x}=650[/tex]

Calculating the sampling distribution of the standard deviation:

[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]

Answer:

Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]

Given :

Sample with data values of [tex]x_i[/tex]  [tex]10,20,12,17[/tex] and [tex]16[/tex]

Sample size[tex]n=5[/tex]

To find:

Compute the score for each of the five observations.

Explanation :

[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]

                     [tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]

                    [tex]\Rightarrow \bar{x}=15[/tex]

Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]

                             [tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]

                            [tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]

                           [tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]

                          [tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]

                         [tex]\Rightarrow \sigma=4[/tex]

[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].

So, when [tex](x=10),[/tex]       [tex]Z=\frac{10-15}{4}=-1.25[/tex]

     when [tex](x=20),[/tex]       [tex]Z=\frac{20-15}{4}=1.25[/tex]

     when [tex](x=12),[/tex]      [tex]Z=\frac{12-15}{4}=-0.75[/tex]

    when  [tex](x=17},[/tex]       [tex]Z=\frac{17-15}{4}=0.50[/tex]

    when [tex](x=16)[/tex]       [tex]Z=\frac{16-15}{4}=0.25[/tex]