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
harina [27]
2 years ago
14

Recall the formula for the area of a trapezoid, A=1/2h(a+b) , where h is the height and a and b are the lengths of the parallel

sides. Find the area of this trapezoid.

Mathematics
2 answers:
Gekata [30.6K]2 years ago
7 0

Answer:

The area of the trapezoid is 40 square inches

Step-by-step explanation:

Here, we want to find the area of the given trapezoid

Mathematically, we apply the formula for the area

In this case, a will be 10, b will be 6 and h will be 5

Substituting these values, we have that ;

A = 1/2(10 + 6)5

A = 1/2(16)(5)

A = 40 square inches

const2013 [10]2 years ago
4 0

Answer:

40 is the correct answer

Step-by-step explanation:

Trust me:)

You might be interested in
A line of best fit can be established with which of the following? Select all that apply.
garri49 [273]
Line of best fit also known as a linear regression or a trend line, the line of best fit is common tool for showing how two variables are related.This can be established by:
Positive correlation
all scatter plots
negative correlation
Line of best fit is used in order to demonstrate any observed trends in order to predict future outcomes regarding the data point variable in use. 
6 0
3 years ago
How can this expression be written another way? 56k + 8
alexira [117]

Step-by-step explanation:

8(7k+1)

no need to thank me

4 0
3 years ago
Ok im sorry for the ppl who keep answering my questions. I'm trying to get an A in math thank you for helping me!!! also im runn
Alex777 [14]

Answer:

<h2>56.52 {in}^{3}</h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u>,</u></em>

Diameter of the bowl = 6 in

Radius of the bowl = 6 ÷ 2 = 3 in.

Height of the bowl = 2 in.

<em><u>Therefore</u></em><em><u>, </u></em>

Volume of the bowl to hold water ,

= \pi {r}^{2} h

= 3.14 \times 3in \times 3in \times 2in

= 56.52 {in}^{3} (ans)

8 0
3 years ago
The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure
Ilia_Sergeevich [38]

Answer:

a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Step-by-step explanation:

For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution 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.

a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?

The foreclosure rate is 1.31% for the Washington, DC area, which means that p = 0.0131

We wanto to find, with n = 100:

P(X < 2) = P(X = 0) + P(X = 1)

In which

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

P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675

P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551

P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226

0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?

Foreclosure rate of 0.87% for the nation, which means that p = 0.0087. So

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

P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174

P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663

P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837

0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c. Comment on the above findings.

The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

7 0
3 years ago
A vehicle purchased for $ 27500 depreciates at a constant rate of 4 % . Determine the approximate value of the vehicle 12 years
Anna35 [415]

Answer:

$13,200

Step-by-step explanation:

Multiply the original cost by .04 and 12 years

(original cost)(rate in decimal form)(time)

6 0
3 years ago
Other questions:
  • The figures are similar. Find the missing length
    7·1 answer
  • Number 15 please and thanks
    5·1 answer
  • Freesia walks 12 miles in 4 hours. At this rate, how many miles does she walk in 7 hours?
    15·1 answer
  • Determine the fraction of total interest owed using the rule of 78.
    5·1 answer
  • What is the domain of the function y=3 sqrt x?
    7·1 answer
  • Why why why do i have to watch ads
    9·2 answers
  • Jeordie spreads out a rectangular blanket with an area of 42 square feet. Its width is 6 feet. Which equation could you use to f
    5·2 answers
  • Please help me with the work please help
    12·1 answer
  • 2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k
    8·1 answer
  • Need some help on this question please
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!