find the area of the pentagon in the diagram below.



15 square inches

20 square inches

25 square inches

28 square inches

The expression with the smallest probability is: (C) P(z > 2), if z is a standard Normal random variable.

A z-core is also known as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.

In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

In this exercise, we would have the smallest probability for P(z > 2), when z is a standard Normal random variable.

Read more on z-scores here: https://brainly.com/question/4302527

Answer:

[tex]x+3>27\\ x-8>12\\ 7x\leq 14\\ x+15\geq 4[/tex]

Answer:

70

You got it correct :)

Step-by-step explanation:

[tex]\frac{28}{y} =\frac{40}{100}[/tex]

y × 40 = 100 × 28

40y = 2800

40y ÷ 40 = 2800 ÷ 40

y = 70

Answer:

20 %

Step-by-step explanation:

Given:

The equation of a parabola is:

[tex]y=-2x^2+7x+4[/tex]

To find:

The vertex of the graph of the given equation by using a graphing calculator.

Solution:

We have,

[tex]y=-2x^2+7x+4[/tex]

By using the graphing calculator, draw the graph of the given equation as shown below.

From the below graph it is clear that the function is maximum at point (1.75,10.125).

So, the vertex of the given equation is (1.75,10.125).

Therefore, the correct option is c.

Answer:

x=-b/2a

Step-by-step explanation:

hope that helps :)

mark as brainliest please :)

Answer:

The axis of symmetry is x

Give brailiest, i gave you correct answer

The percentage of fish which will have the lengths  within 1 standard deviation of the mean is 68%.

Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.

According to empirical rule,

68% of the data lies in the standard deviation of ±1.

95% of the data lies in the standard deviation of ±2.

99.7% of the data lies in the standard deviation of ±3.

Given,

The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation.

According to the Empirical Rule, 68% of the fish will have lengths within 1 standard deviation of the mean.

Hence the required percentage is 68%.

Learn more about Empirical Rule here :

https://brainly.com/question/30700783

#SPJ5

The formula for the circumference of a circle is [tex]\pi d[/tex].

In a:

The radius is 8 cm.

Therefore the diameter (d) would be 16cm (8 * 2)

Hence, the circumference is [tex]16\pi[/tex]

In b:

The diameter is already given: 13 in.

Thus, the circumference is [tex]13\pi =40.84[/tex] (2dp)

Answer:

Yes, she is correct

Step-by-step explanation:

A trapezoid has exactly one pair of parallel lines and 4 sides

Answer: Acute Triangle.

Step-by-step explanation:

3 square root 15 + 16 + 11 = 38.6189500386 degrees ughhhh why does this exist.

An acute triangle is less than 90 degrees so this an acute triangle.

Answer:

x= 25.5 not rounded x=25.51393657

Step-by-step explanation:

Decide what trig ration you need/want to use. The 27 degrees are opposite of the 13 and adjacent to the x which means your ratio should be o/a or 13/x. The trig ratio needed is Tangent. Now you can write the equation as tan(27)=13/x and start solving.

tan(27)=13/x multiply the x on both sides and you'll have x * tan(27)=13 and decide which to put into your calculator and you'll get x=25.51393657 rounded as 25.5

Answer:

total=n÷m $165÷15,$231÷21 and $275÷25

Answer: 26 13/30 feet

Step-by-step explanation:

The hall is in the shape of a rectangle. The perimeter of a rectangle is:

= 2(length + width)

= 2l + 2w

Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:

Perimeter = 2l + 2w

71⅔ = 2l + 2(9 2/5)

71 2/3 = 2l + (2 × 47/5)

71 2/3 = 2l + 94/5

71 2/3 = 2l + 18 4/5

Collect like terms

2l = 71 2/3 - 18 4/5

2l = 71 10/15 - 18 12/15

2l = 52 13/15

l = (52 13/15 ÷ 2)

l = 793/15 × 1/2

l = 793/30

l = 26 13/30

Therefore, the length is 26 13/30ft

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

[tex]n(A)=14[/tex]

[tex]n(B)=11[/tex]

[tex]n(A\cup B)=20[/tex]

We know that,

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]20=14+11-n(A\cap B)[/tex]

[tex]20=25-n(A\cap B)[/tex]

Subtract both sides by 25.

[tex]20-25=-n(A\cap B)[/tex]

[tex]-5=-n(A\cap B)[/tex]

[tex]5=n(A\cap B)[/tex]

We need to find the number of people who have a school certificate only, i.e. [tex]n(A\cap B')[/tex].

[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]

[tex]n(A\cap B')=14-5[/tex]

[tex]n(A\cap B')=9[/tex]

Therefore, 9 people have a school certificate only.

Answer:

729 and 1024

Step-by-step explanation:

If you take the square root of all of these numbers, only 729 and 1024 will give whole numbers.

Have a Great Day!

Answer:

$1688.26

interest= $188.26

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Given

6/4.2 = n/7

Cross multiply

6* 7 = 4.2n

4.2n = 42

n = 42 / 4.2

n = 10

Hope it will help :)❤

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19:  5^2 + 12^2 = ? = 13^2

 25  +  144  = ? = 169    This is true, so you do have a right triange in #19.

#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

                                                                            triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.

Answer:

Radius = 3.38 cm

Step-by-step explanation:

Here's your solution

=> The volume of cylinder = 720π cm^3

=> The height of cylinder = 20 cm

=> Radius = ?

=> Formula of volume of cylinder = πr^2h

=> 22/7 * r^2 * 20 = 720π cm^3

=> r^2 = (720*7)/20*22

=> r^2 = 11.45

=> r = √11.45

=> r = 3.38 cm

hope it helps

Answer: b

Step-by-step explanation:

im guessing

Answer:

x = 32, y = 51

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent, that is

∠ U = ∠ N

∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then

2x - 50 = 14 ( add 50 to both sides )

2x = 64 ( divide both sides by 2 )

x = 32

and

NP = US

2x - y = 13

2(32) - y = 13

64 - y = 13 ( subtract 64 from both sides )

- y = - 51 ( multiply both sides by - 1 )

y = 51

Using the triangle theorem, the values of x and y is 32° and 51° respectively

From △MNP

∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)

N = 180 - (142 + 24)

N = 180 - 168

N = 14°

Equate the expression :

2x - 50 = 14

2x = 14 + 50

2x = 64

x = 64 / 2

x = 32°

From ; 2x - y = 13 _____(1)

Substitute x = 32 into the expression ;

2(32) - y = 13

64 - y = 13

64 - 13 = y

51° = y

Therefore, the values of x and y is 32° and 51° respectively.

Learn more : https://brainly.com/question/8317316

Answer:

$3.56

Step-by-step explanation:

mark me brainlest please

Answer:

3.56

Step-by-step explanation:

First you wanna add the prices of all the food so its

Two Eggs= 3.38

Slice of Bacon= 1.49

Orange Juice= 1.09

Add All then you get 5.96 and add sales tax so you get 6.44

The Subtract 10.00 - 6.44 = A/3.56

Answer:

5. 43.98 (if not rounding pi, if rounding pi it is 43.96)

6. 201.06 (if not rounding pi, if rounding pi it is 200.96)

7. 72.8

8. 84

9. 3.6

10. 140

11. C

12. 12.6

Step-by-step explanation:

5. C=2*pi*r

6. A=pi*r^2

7. angles in triangle must add up to 180

8. A=bh

9. radius is half of diameter

10. A=(hb)b/2

11. A=pi*r^2

12. radius is 1/2 of diameter

Answer:

11^-12 or 11 to the power or negative twelve

Step-by-step explanation:

11^-4  / 11 ^ 8

according to the laws of indices, when dealing with powers, division is subtraction. so:

-4 - 8 = -12

answer = 11^ -12

Answer:

Hello There!

Your answer is:

If this helps, please give me a thanks!!

- abakugosimp

Answer:

if length is 20 and width is 12 then the perimiter is 64

Step-by-step explanation: