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nydimaria [60]
3 years ago
10

2. A drawing of a sailboat was made using a rectangle and two right triangles, as shown. What

Mathematics
1 answer:
Zarrin [17]3 years ago
0 0

Answer:

  45 square centimeters

Step-by-step explanation:

The area of the triangle is given by ...

  A = (1/2)bh

where b is the base, 2 cm + 3 cm = 5 cm, and h is the height, 6 cm.

  A = (1/2)(5 cm)(6 cm) = 15 cm^2

__

The area of the rectangle is given by ...

  A = bh

where b is the base, 12 cm, and h is the height, 2.5 cm.

  A = (12 cm)(2.5 cm) = 30 cm^2

__

The area of the whole figure is the area of the triangle added to the area of the rectangle:

  drawing area = 15 cm^2 + 30 cm^2 = 45 cm^2

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The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. Sh
yulyashka [42]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 25235

For the alternative hypothesis,

µ > 25235

This is a right tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 100,

Degrees of freedom, df = n - 1 = 100 - 1 = 99

t = (x - µ)/(s/√n)

Where

x = sample mean = 27524

µ = population mean = 25235

s = samples standard deviation = 6000

t = (27524 - 25235)/(6000/√100) = 3.815

We would determine the p value using the t test calculator. It becomes

p = 0.000119

Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

6 0
3 years ago
which expression simplifies to 41? choose all that apply! question 14 options: 10 2³ ∙ 4 - 1 10 2³ ∙ (4 - 1) (10 2³) ∙ 4 - 1 10
nordsb [41]

The expressions that simplifies to 41 are:

a) 10 + 2³ * 4 - 1

d) 10 + (2³ * 4) - 1

Information about the problem:

a) 10 + 2³ * 4 - 1

b) 10 + 2³ * (4 - 1)

c) (10 + 2³) * 4 - 1

d) 10 + (2³ * 4) - 1

We solve the equations respecting the level of hierarchy:

  • First the operations in parentheses, then brackets and finally braces.
  • Of the arithmetic operations, first the multiplication and divisions and then the additions and subtractions.

a) 10 + 2³ * 4 - 1

10 + 8*4 - 1

10 + 32 - 1

42 - 1

41 (it applies)

b) 10 + 2³ * (4 - 1)

10 + 8 * (3)

10 + 24

34 (it doesn't applies)

c) (10 + 2³) * 4 - 1

(10 + 8) * 4 - 1

18*4 - 1

72 - 1

71 (it doesn't applies)

d) 10 + (2³ * 4) - 1

10 + (8*4) - 1

10 + 32 -1

42 - 1

41 (it applies)

<h3>What are algebraic operations?</h3>

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

Learn more about algebraic operations at: brainly.com/question/3927786

#SPJ4

8 0
2 years ago
Find the circumference of a circle with a radius of 2.5 cm
solmaris [256]
C=2*pi*r
2*3.141592654*2.5
Answer: 15.7 cm
8 0
3 years ago
Help pls thank you&lt;3
SpyIntel [72]

Answer:

x

------------------------------------------------------

  • Since, 12² = 144 and 13² = 169, the square root of 150 is between 12 and 13.
  • Then, you can pick any two whole numbers less than 13 and multiple them by 1/8.
  • Remember that multiplying by 1/8 is the same that dividing by 8.
  • Choose 12 and 11, for instance, and two rational numbers that are less than 1/8 of the actual side length are 12/8 and 11/8.
  • 12/8 can be simplified to 3/2 and 11/8 is in its simplest form.
  • Thus, two rational numbers that are within 1/8 of the actual side length of the bulletin board are 3/2 and 11/8.

Step-by-step explanation:

5 0
3 years ago
on tuesday mrs shelly spent 3649 dollars on Wednesday she spent 321 more dollars than she did on tuesday how much money did she
Arlecino [84]
Well if she spent 3649 then spend 321 more and more is add so you will add those two then when you get the answer you will add your answer with the money you got on Tuesday and you get your answer.
3 0
3 years ago
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