answer.
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
fredd
3 days ago
13

If each coded item in a catalog begins with 3 distinct letters followed by 4 distinct nonzero digits, find the probability of ran

domly selecting one of these coded items with the first letter a vowel and the last digit even.
Mathematics
1 answer:
lawyer [9.2K]3 days ago
3 0
The result is 10/117. We have three distinct letters and four unique non-zero digits. For letters, we have 26 options from A to Z. For digits, there are 9 choices from 1 to 9. As all selections must be distinct, we find the total number of codes as 26 × 25 × 24 × 9 × 8 × 7 × 6. For the specified code, we focus on the combinations with 5 vowels and 4 even digits, leading to a calculation of 5 × 25 × 24 × 8 × 7 × 6 × 4. Probability can thus be expressed as the ratio of these outcomes, yielding: 5 × 25 × 24 × 8 × 7 × 6 × 4 divided by 26 × 25 × 24 × 9 × 8 × 7 × 6.
You might be interested in
The length of a rectangle is measured as 370mm correct to 2 significant figures.
Svet_ta [9500]

Answer:

UB: 375

Step-by-step explanation:

370mm rounded to 2 significant figures is..

UB: 375

LB:365

Please rate me 5 stars and thank me:)

5 0
1 day ago
Kevin drew a triangle with angle measures of 30 degrees and 40 degrees and side measures of 5 cm, 7cm, and 8 cm. Explain, using
lawyer [9240]
He created a scalene triangle.
A scalene triangle has sides and angles that do not measure alike.
6 0
25 days ago
Read 2 more answers
Which of the following are exterior angles? Check all that apply.
Svet_ta [9500]

Answer:

A. C. E. F.

Which correspond to 2, 3, 5, and 6.

Step-by-step explanation:

Within geometry, exterior angles are defined as those angles formed between any side of a polygon and the extension of an adjacent side, as demonstrated in the diagram.

Observing the figure, angles 2 and 3 arise from a side of the triangle and a line extended from the following side. Likewise, angles 5 and 6 are created similarly. Thus, these four angles are classified as exterior angles.

8 0
1 month ago
Read 2 more answers
Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6
AnnZ [9099]

Answer:

At h=0.1, the calculated value of y(1.2) equals 15.920, and for h=0.05, y(1.2) amounts to 16.523.

Step-by-step explanation:

Given,

f(x,y)=\frac{dy}{dx}=2x+3y+1 with y(1)=9.

This means when x=1, y=9 initially.

To determine the value of y= f(x,y) at x_n=x_0+nh=1.2when h=0.1 and h=0.05, we will implement a C program using Euler's method resulting in, for h=0.1:

#include<stdio.h>

float fun(float x, float y)

{

  float f;

  f=2x+3y+1;

  return f;

}

main()

{

   float a,b,x,y,h,t,k;

   printf("\ Enter x0,y0,h,xn:");

   scanf("% f % f % f % f ", & a, &b, &h, &t);

   x=a;

   y=b;

   printf("\n x\t y\n");

   while (x<=t)

{

   k=h*fun(x,y);

   x=x+h;

   y=y+k;

   printf("%0.3f\%0.3f\n",x,y);

}

}

Using initial values x0=1, y0=9, h=0.1, and xn=1.2, we reach results, y(1.2)=15.920.

Subsequently, using values x0=1, y0=9, with h=0.05, and xn=1.2 yields y(1.2)=16.523.

6 0
5 days ago
Find the slope of a pipe that slopes down 2/5 inch per foot.
babunello [8412]

Answer:

m=\frac{1}{30}

Step-by-step explanation:

To determine the slope, divide the rise by the run to calculate the slope.

Note that

1 ft = 12 in

Let

y ----> the rise

x ----> the run

m ----> the slope

m=\frac{y}{x}

the values are given as

y=2/5\ in

x=1\ ft=12\ in

m=\frac{y}{x}

substituting these values gives

m=\frac{(2/5)}{12}

m=\frac{2}{60}

Simplifying further

m=\frac{1}{30}

3 0
1 month ago
Read 2 more answers
Other questions:
  • A fast-food restaurant claims that a small order of french fries contains 120 calories. A nutritionist is concerned that the tru
    11·1 answer
  • Lin created a scaled copy of Triangle A with an area of 72 square units. How many times larger is the area of the scaled copy co
    11·2 answers
  • the graph of g(x) is a translation of the function f(x) = x2. the vertex of g(x) is located 5 units above and 7 units to the rig
    5·2 answers
  • Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms. A $1 ticket gives an even chance to win $25 gif
    14·1 answer
  • Write an equation that expresses the following relationship. p varies directly with d and inversely with the square root of u In
    10·1 answer
  • Mike has coffee worth $4 per pound that he wishes to mix with 20 pounds of coffee worth $7 per pound to get a mixture that can b
    5·1 answer
  • Customer: “What can I do to decrease my bill by $25.00 per month?”
    11·2 answers
  • A square rotated about its center by 360º maps onto itself at _____ different angles of rotation. You can reflect a square onto
    5·1 answer
  • Please enter the missing number: 2, 9, 20, 37, 64, 107, ?
    7·1 answer
  • Suppose a man's scalp hair grows at a rate of 0.35mm per day. What is this growth rate in feet per century?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!