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
Vika [28.1K]
3 years ago
7

triangle has an area of 230.86 square inches. The height of the triangle is 23.8 inches. What is the length of the base of the t

riangle?
Mathematics
1 answer:
vitfil [10]3 years ago
7 0

19.4 inches

Step-by-step explanation:

Area of the traingle = 230.86 sq. inches

Height of the triangle = 23.8 sq. inches

We have,

Area of the triangle =  1/2bh

where,

b = base of the traingle

h = height of the triangle

Now, substituting the given info we get,

230.86 = 1/2b (23.8)

230.86 × 2/23.8 = b

b = 19.4

So, the base of the triangle is 19.4 inches

You might be interested in
Question 4 of 10, Step 1 of 1 1/out of 10 Correct Certify Completion Icon Tries remaining:0 The Magazine Mass Marketing Company
erastovalidia [21]

Answer:

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

Step-by-step explanation:

For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.

This means that n = 16

They know that the probability of receiving a magazine subscription order with an entry form is 0.5.

This means that p = 0.5

What is the probability that no more than 3 of the entry forms will include an order?

At most 3 including an order, which is:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{16,0}.(0.5)^{0}.(0.5)^{16} \approx 0

P(X = 1) = C_{16,1}.(0.5)^{1}.(0.5)^{15} = 0.0002

P(X = 2) = C_{16,2}.(0.5)^{2}.(0.5)^{14} = 0.0018

P(X = 3) = C_{16,3}.(0.5)^{3}.(0.5)^{13} = 0.0085

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0002 + 0.0018 + 0.0085 = 0.0105

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

6 0
3 years ago
Answer the question in the picture below
adelina 88 [10]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
HELP ME PLS!! GET YOUR POINTS!!
andre [41]
The answer is b, c, and d
3 0
3 years ago
A small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company
sukhopar [10]

Answer:

Step-by-step explanation:

Given that a small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company for over 10 years. So remaining 75 are between 5 and 10 years.

Suppose that one employee is selected at random from a list of the employees

A) Probability that the selected employee has been with the firm less than 5 years = \frac{50}{250 } \\= 0.20

B) Probability that the selected employee has been with the firm between 5 and 10 years

= \frac{75}{250 } \\= 0.30

C) Probability that the selected employee has been with the firm more than 10 years

= \frac{125}{250} =0.50

a) P(A) = 0.2

P(C) = 0.5

P(A or B) = 0.2+0.3 = 0.5

P(A and C) = 0 (since A and C are disjoint)

7 0
3 years ago
"Solve the system using the elimination method. Show work."
Dafna1 [17]
Solution in an attachment.

x = -4; y = -2; z = 4

6 0
3 years ago
Other questions:
  • Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 stu
    7·1 answer
  • Find the x-intercept and the y-intercept of the graph of by + ax = c.
    5·1 answer
  • Please help ASAP! This is a Division problem! >_
    8·2 answers
  • Part I
    5·1 answer
  • Describe the transformation that maps the pre-image (^A) to the image (^A).
    10·1 answer
  • A circular flower bed is 19 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk
    9·2 answers
  • What do the following two equations represent?
    9·1 answer
  • Ok i’m stuck on this one
    8·2 answers
  • Jesus can walk on water. Humans are 75% water. i walk on humans. does that make me 75% jesus?
    7·2 answers
  • Raymond has a credit card with a 21.99% Apr. His balance this month is 3,000. Calculate how much interest he will pay this month
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!