1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bond [772]
3 years ago
11

ACT scores have a mean of 21.5 and 26 percent of the scores are above 24. The scores have a distribution that is approximately n

ormal. Find the
standard deviation. Round your answer to the nearest tenth, if necessary.
Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Answer:

5

Step-by-step explanation:

You might be interested in
Is the point (2,8) a solution of the equation y = 13x + 12?<br> O Yes<br> O No
vovikov84 [41]

Answer:

O No

Explanation:

Given equation: y = 13x + 12

To check if (2, 8) is a solution of the given equation.

Substitute x and y value in equation and check if it is true.

\rightarrow y = 13x+12

(x, y) = (2, 8)

\rightarrow 8 = 13(2)+12

simplify

\rightarrow 8 = 38

This following statement is false and hence (2, 8) is not a solution.

6 0
1 year ago
Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable.
gulaghasi [49]
As a rule of thumb, a discrete random variable is countable.
A continuous random variable is measurable but not countable.

a. Discrete
The number of hits to a website is countable.

b. Continuous
The weight of a T-bone steak is measurable.

c. Discrete
The political party affiliations of adults are countable.

d. Discrete
The number of bald eagles in a country is countable.

e. Continuous
The amount of snowfall in December is measurable.

f. Discrete
The number of textbook authors is countable.
6 0
3 years ago
Read 2 more answers
Verify the identity. <br><br> sin (x+pi/2)=cos x
hram777 [196]
Given data 
<span>sin (x+pi/2)=cos x
</span>now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that

<span>sin (x+pi/2)=cos x</span>
4 0
3 years ago
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=4x2 2y2; 3x
nevsk [136]

For given f(x, y) the extremum: (12, 24) which is the minimum.

For given question,

We have been given a function f(x) = 4x² + 2y² under the constraint 3x+3y= 108

We use the constraint to build the constraint function,

g(x, y) = 3x + 3y

We then take all the partial derivatives which will be needed for the Lagrange multiplier equations:

f_x=8x

f_y=4y

g_x=3

g_y=3

Setting up the Lagrange multiplier equations:

f_x=\lambda g_x

⇒ 8x = 3λ                                        .....................(1)

f_y=\lambda g_y

⇒ 4y = 3λ                                         ......................(2)

constraint: 3x + 3y = 108                .......................(3)

Taking (1) / (2), (assuming λ ≠ 0)

⇒ 8x/4y = 1

⇒ 2x = y

Substitute this value of y in equation (3),

⇒ 3x + 3y = 108

⇒ 3x + 3(2x) = 108

⇒ 3x + 6x = 108

⇒ 9x = 108

⇒ x = 12

⇒ y = 2 × 12

⇒ y = 24

So, the saddle point (critical point) is (12, 24)

Now we find the value of f(12, 24)

⇒ f(12, 24) = 4(12)² + 2(24)²

⇒ f(12, 24) = 576 + 1152

⇒ f(12, 24) = 1728                             ................(1)

Consider point (18,18)

At this point the value of function f(x, y) is,

⇒ f(18, 18) = 4(18)² + 2(18)²

⇒ f(18, 18) = 1296 + 648

⇒ f(18, 18) = 1944                            ..............(2)

From (1) and (2),

1728 < 1944

This means, given extremum (12, 24) is minimum.

Therefore, for given f(x, y) the extremum: (12, 24) which is the minimum.

Learn more about the extremum here:

brainly.com/question/17227640

#SPJ4

6 0
1 year ago
Simplify each expression by combining like terms:<br> 9m-7m+13 <br> Please explain if you can
Bas_tet [7]
Subtract 9 and 7 (9-7) which gives you 2m
the answer is 2m+13
8 0
3 years ago
Other questions:
  • Ron bought 40 pen sets and sold 25. This year he bought 75 pen sets and sold 60. The absolute error each year was the same. Are
    15·2 answers
  • The data to the right represent the top speed (in kilometers per hour) Of all the players (except goaltenders) in a certain socc
    8·1 answer
  • If g(x)= 3x-1 solve for x when g(x)=-20.
    7·1 answer
  • Can somebody please give me a step by step explanation. I have the answer I just don’t know how to show work!!!!!!! Please!!!
    6·1 answer
  • The lengths of the sides of a triangle are 3, 3, 3 square root two . Can the triangle be a right triangle? yes or no
    12·1 answer
  • Help me please, I really need it​
    9·1 answer
  • Who could help me out with this​
    5·2 answers
  • Help with geometry pls
    11·1 answer
  • Find an explicit formula for the arithmetic sequence below.<br> 9, 39/4, 21/2, 45/4, 12, 51/4,...
    14·1 answer
  • Help<br> I need this now
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!