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
Nastasia [14]
3 years ago
13

the letter "T" makes up an estimated 8% of a certain language. Assume this still correct. A random sample of 1000 letters is tak

en from a randomly selected, large book and the t's are counted. find the approximate probability that the random sample of 1000 letters will contain 7.4% or fewer t's​
Mathematics
1 answer:
rusak2 [61]3 years ago
8 0

Answer:

0.242

Step-by-step explanation:

p = 0.08, q = 1 − p = 0.92, and n = 1000.

The mean and standard deviation are:

μ = p = 0.08

σ = √(pq/n) = 0.00858

The z score is:

z = (x − μ) / σ = -0.70

Using a calculator or z score table, the probability is:

P(Z < -0.70) = 0.242

You might be interested in
Hi! Answer this please!
Rudiy27
The answer would be b
4 0
2 years ago
Read 2 more answers
Which polynomial represents the sum below?
FromTheMoon [43]

Answer:          D. 8x² + x + 3

Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.

<h2>What are like terms?</h2>

Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.

<h2>Solve</h2>

(4x² + 1) + (4x² + x + 2)      Starting equation from the question

= 4x² + 1 + 4x² + x + 2       Remove brackets

= 4x² + 4x² + x + 1 + 2       Rearrange to group like terms together

= 8x² + x + 1 + 2                Add like terms with the same 'x²' variables

= 8x² + x + 3                     Add like terms that are constants

Learn more about adding polynomials here:

brainly.com/question/1311115

6 0
1 year ago
I need help on slope!
Brrunno [24]

Answer:

A) Y=3X -2

Step-by-step explanation:

8 0
3 years ago
6-3/4x+1/3=1/2 x+5<br> a.2<br> b.3<br> c.6<br> d.12
Gekata [30.6K]
6-3/4x+1/3=1/2x+5
6+1/3-5=1/2x+3/4x
4/3=5/4x
x=16/15
5 0
2 years ago
A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate
Alex777 [14]

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s        

First, we need to find the other side of the triangle:  

H^{2} = B^{2} + L^{2}

L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}}

Now, the area (A) of the triangle is:            

A = \frac{BL}{2}  

Hence, the rate of change of the area is given by:

\frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}]      

\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]        

\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]  

\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]      

\frac{dA}{dt} = 15.75 ft^{2}/s  

     

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!                                    

5 0
3 years ago
Other questions:
  • A table is on sale for $403, which is 38% less than the regular price. what is the regular price
    12·1 answer
  • Solve the system of equations below by graphing. x^2-2x+y-3=0 x2+y=0 What is the solution rounded to the nearest hundredth? (–2.
    14·1 answer
  • Which table of values corresponds to the graph below? On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6,
    13·2 answers
  • How is a rational number that is not an integer different from a rational number that is an integer?
    7·2 answers
  • Planes A and B intersect. Vertical plane B intersections horizontal plane A at line k. Line k contains points Y and Z. Line m in
    13·1 answer
  • Help pls helpppp me plssssssssssss
    7·1 answer
  • Simplify the following expression. 30 simplified form:
    11·2 answers
  • The "P" in 20Pg represents a:
    9·1 answer
  • Hey, can you plz help me answer this!
    6·2 answers
  • What is the rotation that translates AWXY to AW'X'Y'? Be sure to give the degre
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!