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
zvonat [6]
3 years ago
10

Find the area of the shaded region in each of the following.​

Mathematics
1 answer:
zysi [14]3 years ago
5 0

Answer:

Step-by-step explanation:

a) A = ½(5 - -1)(5) = 15 units²

b) A = ½(4 - 2)(4) = 4 units²

c) A = ½(6 - -3)(3) = 13.5 units²

d) A = ½(4 - -1)(8) = 20 units²

You might be interested in
Divide. −2 4/7 Enter your answer as a mixed number, in simplified form,
jarptica [38.1K]
I guess it's -24/7. So 24 divided by 7 is 3 remainder 3
The minus sign remains. So that will be -3 3/7
Hope I helped. Goodluck
5 0
3 years ago
A report on consumer financial literacy summarized data from a representative sample of 1,663 adult Americans. Based on data fro
Tom [10]

Answer:

a) 95% Confidence interval = (0.536, 0.584)

This means that we are 95% confident that between 53.6% and 58.4% of Americans would give themselves grade of A or B on their financial knowledge of personal finance.

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = proportion of Americans in the sample that would give themselves grade of A or B on their financial knowledge of personal finance = p = (934/1663) = 0.56

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 1663 is obtained from the z-tables as the sample size is large enough for the sample properties to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error of the mean = σₓ = √[p(1-p)/n]

p = 0.56

n = sample size = 1663

σₓ = √[0.56×0.44/1663] = 0.0121723457 = 0.01217

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.56 ± (1.96 × 0.01217)

CI = 0.56 ± 0.0238532

95% CI = (0.5361468, 0.5838532)

95% Confidence interval = (0.536, 0.584)

b) The result of the 95% confidence interval agrees with the claim that majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance because the interval obtained for possible values that the population proportion of Americans that would give themselves a grade of A or B on their financial knowledge of personal finance lies completely on the side that is greater than a proportion of 0.50 which indicates that truly, majority of Americans would give themselves a grade of A or B on their financial knowledge of personal finance.

Hope this Helps!!!

5 0
3 years ago
Please explain how to do and set up
In-s [12.5K]

A

using the Cosine rule in ΔSTU

let t = SU, s = TU and u = ST, then

t² = u² + s² - (2us cos T )

substitute the appropriate values into the formula

t² = 5² + 9² - (2 × 5 × 9 × cos68° )

   = 25 + 81 - 90cos68°

   = 106 - 33.71 = 72.29

⇒ t = \sqrt{72.29} ≈ 8.5 in → A


6 0
3 years ago
The sum of 1/3x^2 + 4x and 1/2x^2 -1/3x + 3
Marrrta [24]

Answer:

mis patas alrevez ekisdddddddddd

Step-by-step explanation:

por que? por que cy xd

6 0
3 years ago
Please find the perpendicular line slope equation please! Thanks!
lana66690 [7]

We need to convert this equation to slope-intercept form first.

We can do that by solving for y.

x - 5y = 15

<em><u>Add 5y to both sides.</u></em>

x = 5y + 15

<em><u>Subtract 15 from both sides.</u></em>

x - 15 = 5y

<em><u>Divide both sides by 5.</u></em>

y = 1/5x - 3

We now know the slope is 1/5.

The slope of the line perpendicular to the line with a slope of 1/5 is -5.

The slope of a perpendicular line is the negative reciprocal of the original slope.

Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).

The equation of the new line is y = -5x - 6.


5 0
3 years ago
Read 2 more answers
Other questions:
  • Write an algebraic expression to represent the phrase the difference between two times b and eleven
    5·1 answer
  • Triangle ABC is dilated from point O. What is the scale factor if |OA| = 2 and |OA’| = 7?
    10·1 answer
  • Round 4.051 to the nearest 100
    10·2 answers
  • (!!EXTRA POINTS!!)
    10·2 answers
  • Someone Please Help !! Picture shown
    5·1 answer
  • Which of the following is a solution to the equation<br> x2 + 25x = 0
    15·1 answer
  • I really neeeeeed heeeeelp
    13·1 answer
  • Use combining like terms to simplify the expression: 7x+2−5x+4
    6·1 answer
  • What is the answer to -8+5b= -6+26-9b
    6·1 answer
  • 5. If 4 books and 5 pencils cost 56KM, 5 books and 4 pencils
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!