Which system of linear inequalities is represented by the
graph?

Answer:

53.13 degrees

Step-by-step explanation:

In order to use sin we have to use the opposite side over the hypotenuse.

[tex]\frac{4}{5}[/tex] in this case

sin(A) =  [tex]\frac{4}{5}[/tex]

[tex]A = sin^{-1} \frac{4}{5}[/tex]

Plugging this into the calculator you get about 53.13 degrees

Step-by-step explanation:

180-(90° +32°)

180- 122= 58

triangle =180°

180° - (58° +58°)

180° - 116°= 64°

Answer:

x=64

Step-by-step explanation:

∠A = 180-(90°+32°)

=> ∠A=180-122= 58

Angle sum property in Triangle=180°

=> x = 180° - (58°+58°)

=> x = 180° - 116°= 64°

Answer:

Step-by-step explanation:

total number of students=22

number of female students=7

number of male students=22-7=15

number of male students not having A=3

Number of male students having A=15-3=12

P(male student having A)=12/22=6/11

The probability that a student who has an A is male is approximately 0.632

We can use the formula for conditional probability:

P(Male | A) = P(Male and A) / P(A)

We are given that there are 3 male students who do not have an A, so there are 22 - 3 = 19 students who have an A. Of these 19, we do not know how many are male. However, we do know that there are 7 female students, so the number of male students who have an A is:

19 - 7 = 12

Therefore, the probability that a student who has an A is male is:

P(Male | A) = 12 / 19

We can simplify this fraction by dividing the numerator and denominator by their greatest common factor (which is 1 in this case):

P(Male | A) = 12 / 19

So the probability that a student who has an A is male is approximately 0.632.

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Answer:

(a): 6 centimeters

(b): 72 inches

Step-by-step explanation:

Rule: From centimeters to inches, multiply centimeters × 8

so from inches to centimeters, divide inches by 8

Scale:

1 cm : 8 in

? cm : 48 in

6 cm : 48 in

Scale:

? in : 9 cm

72 in : 9 cm

Answer:

1: 16

2: 4940

3: 24

4: 25

5: 9

Step-by-step explanation:

A permutation is a method of calculating the number of possible outcomes. It follows the following general formula;

[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]

There (n) is the number of objects, and (r) is the number of objects selected.

1. Arranging 4 pots with different plants in a row

In order to solve this, one needs two pieces of information, the number of objects, and the number of objects selected. One is given the number of objects; (4), but when the problem states "in a row" it never specifies how many plants are in a row. Thus, let one assume that a "row" can have an infinite amount of space, but in this case, only (4) space will be used. Therefore there are (4) objects with (4) objects selected. However, the drawback is that the combination formula doesn't work when the two parameters (n) and (r) are the same. Hence, to solve this special case, one simply multiplies the two numbers to get the answers:

[tex]n*r\\\\=4*4\\\\=16[/tex]

2. Forming a four-digit ATM pin

One is given that there are (4) digits in the ATM pin, this is the number of objects selected. One is also given that number of objects, there are (10) digits including (0). Set up the permutation and solve;

[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]

[tex]_1_0P_4=\frac{10!}{(10-4)!}\\\\=\frac{10!}{6!}\\\\=\frac{10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1}\\\\=10*9*8*7\\\\=4940[/tex]

3. Securing a motorcycle with a three-digit combination lock using the numbers (1), (2), (3), and (6).

There are (4) digits to choose from on the lock. But there are (3) numbers that can be selected.

[tex]_4P_3=\frac{4!}{(4-3)!}\\\\=\frac{4!}{1!}\\\\=\frac{4*3*2*1}{1}\\\\=4*3*2*1\\\\=24[/tex]

4. Displaying 3 identical small vases, 1 figure, and a photo frame in a row.

There are (5) objects, and (5) spaces (read problem (1) for an explanation for the objects being put in a row). Thus, this is a special case; multiply the two numbers to get the result;

[tex]n*r\\=5*5\\=25[/tex]

5. 3 girls sitting around a circular table

There are (3) subjects, and (3) spaces in this problem. Apply the same logic applies to a row in this problem. Therefore, this is another special case; multiply the two numbers to get the result;

[tex]n*r\\=3*3\\=9[/tex]

Answer:

he is correct

Step-by-step explanation:

to have 2 liters means it has to have 2000 milliliters of solution

(1000milliliters = 1 liter)

2 beaker  * 350+2 beaker * 400 + 1 beaker* 500 =

700+800+500=2000 milliliters

Answer:

6.66 % per year.

Step-by-step explanation:

Hope it help you

Answer:

66 percent per year

Step-by-step explanation:

I hope this will help you

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Answer:

[tex]22^{\circ}[/tex]

Step-by-step explanation:

Line [tex]\overline{PM}[/tex] is a diameter of the circle because it passes through the circle's center O. Therefore, arc [tex]\widehat{PLM}[/tex] must be 180 degrees, as these are 360 degree in a circle.

We can then find the measure of arc [tex]\widehat{LM}[/tex]:

[tex]\widehat{LP}+\widehat{LM}=180^{\circ},\\92^{\circ}+\widehat{LM}=180^{\circ},\\\widehat{LM}=88^{\circ}[/tex]

Arc [tex]\widehat{LM}[/tex] is formed by angle [tex]\angle LPM[/tex]. Define an inscribed angle by an angle with a point on the circle creating an arc on the circumference of the circle. The measure of an inscribed angle is exactly half of the measure of the arc it forms.

Therefore, the measure of [tex]\angle LPM[/tex] must be:

[tex]m\angle LPM=\frac{88}{2}=44^{\circ}[/tex]

Similarly, the measure of [tex]\angle LNP[/tex] must be:

[tex]m\angle LNP=\frac{92}{2}=46^{\circ}[/tex]

Angles [tex]\angle LPM[/tex] and [tex]\angle MPN[/tex] form angle [tex]\angle LPN[/tex], which is one of the three angles in [tex]\triangle LPN[/tex]. Since the sum of the interior angles of a triangle add up to 180 degrees, we have:

[tex](\angle MPN+\angle LPM)+\angl+ PLN+\angle LNP=180^{\circ},\\\angle MPN+44+46+68=180,\\\angle MPN=180-44-46-68,\\\angle MPN=\boxed{22^{\circ}}[/tex]

Answer:

mean=14

median =4

Range=3

Step-by-step explanation:

Mean = 4+6+3+1+9+0+5/2

=28/2

=14

Median = ( N+1/2 )th item

= ( 7+1 )/2

= 8/2

= 4

Range = largest no- lowest no

= 9-6

= 3

Answer:

8 cm and 9 cm

Step-by-step explanation:

Hi there!

The sum of the lengths of two sides of a triangle must always be greater than the length of the third side.

5 cm and 8 cm ⇒ 5+8=13; not greater than 13

6 cm and 7 cm ⇒ 6+7=13; not greater than 13

7 cm and 2 cm ⇒ 7+2=9; not greater than 13

8 cm and 9 cm ⇒ 8+9=17; greater than 13

Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.

I hope this helps!

Answer:

1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;

Linear

Shade is above the line

2.  The graph of the inequality, y ≤ │x│ - 3,  created with MS Excel is attached showing the following characteristics

Linear

Shade is below the line

3. The graph of the inequality, y < x² - 4,  created with MS Excel s attached showing the following characteristics;

Quadratic

Shade below the line

Step-by-step explanation:

Answer:

The equation of the line is; y = 0.5·x + 2

Step-by-step explanation:

The points that define the line CD = C(-2, 1) and D(10, 7)

The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c

Where;

m = The slope of the line = [tex]\dfrac{7 - 1}{10 - (-2)} = \dfrac{1}{2} = 0.5[/tex]

c = The y-intercept

From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;

y - 7 = 0.5·(x - 10)

From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows

y - 7 = 0.5·(x - 10) = 0.5·x - 5

y - 7 = 0.5·x - 5

y = 0.5·x - 5 + 7 = 0.5·x + 2

y = 0.5·x + 2

The equation of the straight line in general is y = 0.5·x + 2.

Answer:

7

Step-by-step explanation:

Substitute x = 2 into the equation and evaluate

y = 5(2) - 3 = 10 - 3 = 7

Answer:

[tex]{ \tt{y = 5x - 3}} \\ y = (5 \times 2) - 3 \\ y = 7[/tex]

Answer:

cant download send ss

Step-by-step explanation:

Answer:

(0, 9)

Step-by-step explanation:

The y-intercept is the point when x = 0. By looking at the graph, when x = 0, y = 9. Therefore, the y-intercept of the line is (0, 9).

Answer:

1,152

Step-by-step explanation:

So here, we shall be removing random numbers

For ease, since the number is divisible by 45: it is advisable to end the selected number with zero

So we have it that;

we are crossing the first 4, 9 and 7

So, we are left with;

51,840

dividing this by 45 will give 1,152

The length of JD is 19

The distance between two ends of a line segment can be used to calculate its length. It is the path that connects the two points and has a known length.

Given

JD = JP-DP = 57-38 =19

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Answer:

-5

Step-by-step explanation:

Answer:

the correct answer is its -5

Answer:

yes.. they are

Step-by-step explanation:

because

Answer:

third option (7.5, 8)

this option (6, 5, -3)

Step-by-step explanation:

you eliminate one variant by expressing it through the other(s) until you have one equation with one variable.

that you solve, and then you go back to the other elimination expressions to calculate the others.

2x - y = 7

-2x + 3y = 9

since the terms with x are already so similar, we could now simply add both equations and solve that result :

2x + (-2x) -y + 3y = 7+9 = 16

0×x + 2y = 16

2y = 16

y = 8

=>

2x - 8 = 7

2x = 15

x = 7.5

x - 2y - 3z = 5

x + 2y + 3z = 7

x + z = 3

the same trick by adding the first 2 equations

x + x -2y + 2y -3z + 3z = 5 + 7 = 12

2x + 0y + 0z = 12

2x = 12

x = 6

=>

6 + z = 3

z = -3

and then

6 + 2y + 3(-3) = 7

6 + 2y - 9 = 7

2y - 3 = 7

2y = 10

y = 5

Answer:

C)Ok i pick the point (18,4)

this point represents that if this person studied from 18 hours they got a GPA of 4.0

D) the chart below is the scatter plot

Hope This Helps!!!

Answer:

V = wlh

Step-by-step explanation:

Given

w = [tex]\frac{V}{lh}[/tex] ( multiply both sides by lh to clear the fraction )

wlh = V

Answer:

answer is subtract i am on the test right now!

Answer:

Step-by-step explanation:

[tex]Quotient \ of \ 10 \ and \ x = 10 \div x[/tex]

Answer:  [tex]\frac{n-m}{n}[/tex]

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

[tex]1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\[/tex]

and now the expression is one single fraction.

Answer:

No

Step-by-step explanation:

One is used as an enlargement of the object drawn. The image formed can either be smaller or bigger.

Answer:

9.144 meters

.

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

The conversion factor of meters to yards is 1 yard = 0.9144 meters

So set up a proportion

1 yard/0.9144 meters = 10 yards / x    Cross multiply

x = 0.9144 * 10

x = 9.144 meters.

Answer:

44.4

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin40=x/69

x=69sin40

x=44.4 rounded from 44.352

Answer:

[tex]\displaystyle x=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x² + x + 1/4 = 0

↓ Compare to Standard Form

a = 1, b = 1, c = 1/4

Step 2: Solve for x