6. What is the probability that a student prefers comedy, given that the student is in 10th grade? (2 points)

7. What is the probability that a student prefers comedy, given that the student is in 12th grade? (2 points)

8. What is the probability that a student does not prefer action, given that the student is in 9th grade? (2 points)

The amount liters of liquid needed for 2 servings of pudding.

[tex]600 + 120[/tex]

[tex] = 720 \: ml[/tex]

[tex]720 \times 2[/tex]

[tex] = 1440 \: ml[/tex]

[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]

[tex] \frac{1440}{1000} [/tex]

[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]

Therefore, 1.44 litres of liquid are required for 2 servings.

Answer:

138

Step-by-step explanation:

Do the inverse. 69 2/3 multiplied by 3 is 138.

Answer:

3.5.

Step-by-step explanation:

Y = kx   where k is the slope of the line

k = y/x

The slope 3/5/1 = 3.5

y/x = 3.5.

The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of triangle ABC, hence:

18 ft² = (1/2) * 3 * h

h = 12 ft

Let x represent the height of triangle EFG, hence:

x/12 = 2/3

x = 8 feet

Area of EFG = (1/2) * 2 * 8 = 8 ft²

The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².

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Answer:

your welcome    

Step-by-step explanation:

....bbc

Answer:

the measure of the fourth angle is 104 degrees

Step-by-step explanation:

Answer:

Fourth angle = 104º

Step-by-step explanation:

Angles in a quadrilateral add to 360º so:

90 + 46 + 120 + fourth angle = 360º

90 + 166 + fourth angle = 360º

256 + fourth angle = 360

fourth angle = 104º

Answer:

Pls can u type it out ur self so I can help u out

Answer:

44degrees

Step-by-step explanation:

I've just replaced letter A with x so that I can make it easier for me to get the value of x and after adding 54 + 82 I got 136 and when I transferred it to the other side I subtracted it from 180 because it had a positive sign before it and if it is carried out the other side it becomes a negative which means I should subtract hope you got me.

in short once a positive number is carried to the other side I mean past the equals sign then it changes to negative hope it helps

Answer:

GH8 remains 70 and gh remains 10

Step-by-step explanation:

there is no five or more

Based on the alternate interior angles theorem, the value marked b is calculated as: 190°

The theorem states that two alternate interior angles are always congruent to each other.

The measure of angle b based on the alternate interior angles theorem would be:

m∠b = 50 + (320 - 180)

m∠b = 190°

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Answer:

Arc AB = 55°

Angle AOB = 55° ( Centre angle is equal to respective arc )

Arc CD = 25°

Angle COD = 25° ( Centre angle is equal to respective arc )

Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)

55° + Angle BOC + 25° = 180°

Angle BOC + 80° = 180°

Angle BOC = 100°

Step-by-step explanation:

First, use the Pythagorean theorem to find cos x.

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

[tex] (\frac{7}{9} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]

[tex] \cos {}^{2} (x) = 1 - \frac{49}{81} [/tex]

[tex] \cos {}^{2} (x) = \frac{32}{81} [/tex]

[tex] \cos(x) = \frac{4 \sqrt{2} }{9} [/tex]

Now, use the quotient identity

[tex] \tan(x) = \frac{ \sin(x) }{ \cos(x) } [/tex]

[tex] \tan(x) = \frac{ \frac{7}{9} }{ \frac{4 \sqrt{2} }{9} } [/tex]

[tex] \tan(x) = \frac{7}{4 \sqrt{2} } [/tex]

[tex] \tan(x) = \frac{7 \sqrt{2} }{8} [/tex]

The answer is A

Step-by-step explanation:

In figure:

∠PRT+∠RTP+∠TPR=180

O

(angle sum property of triangle)

⇒x+(180

O

−∠RTQ)+60

O

=180

O

(linear pair)

⇒x+(180

O

−97

0

)+60

o

=180

O

⇒x=31

o

Now, ∠PRT+∠TRQ+∠QRS=180

O

(angle of straight line)

⇒x+48

o

+y=180

O

⇒31

o

+48

o

+y=180

O

⇒y=101

0

Answer:

Option C: 9³

Step-by-step explanation:

9 * 9 = 81

( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )

81 * 9 = 729

( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)

Answer:

[tex]m \angle AEB = m \angle ADB[/tex]

Step-by-step explanation:

By the Inscribed Angle Theorem, since both angles have the same intercepted arc, they are congruent.

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]

Hence, the lower bound of the interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]

The lower limit of the 95% confidence interval is of $99,002.

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Answer:2/7

Step-by-step explanation:

TThe solution is in the image

Answer:

Method of paragraph or essay development in which a writer analyzes the reason for - and / or the consequences of - an action , event, or decision

Answer:

C. Shows relationship between events, explains how one thing happens as a result of another

Step-by-step explanation:

Answer:

the answer is b! i got the same question before!

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

X-intercept(s) : Take y = 0

Y-intercept : Take x = 0

Answer:

x = 90

Step-by-step explanation:

X is equal to 90 degrees:

As you can see it forms paralell line we know paralell line is equal to 180 degrees just divide it by 2, so 90

Answer:

B: Brazil

Step-by-step explanation:

The Chernobyl impacted Belarus, Russia, and Ukraine as well as many other European countries. And Brazil isnt a European country.

( I hoped this helped)

[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

A la igual que la otra Operación:

[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

Ninguna tiene factores comunes.

Espero que te sirva, salu2!!!!

The fraction 67/100 It cannot be simplified.

It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

The fraction 1/4 Nor can it be simplified.

Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

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The recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The given parameters are:

The number of plants in month n is calculated using:

Tn = Tn-1 * (1 + 200%)

This gives

Tn = 3Tn-1

Hence, the recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

This means that n = 1, 2, 3

When n = 1, we have:

T1 = 3To = 3 * 10 = 30

When n = 2, we have:

T2 = 3T1 = 3 * 30 = 90

90 is greater than the maximum number of plant the backyard can contain

Hence, the number of plants after 1 month is 30 and the plants in the backyard would exceed 50 plants before the end of the 2 months

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AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

Note, the figure is a parallelogram

Some properties of a parallelogram are:

if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.

Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

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Answer:

C. $774.00

Step-by-step explanation:

First, you have to find the area of the area that is tile, in this case, it is a trapezoid.

Area of Trapezoid formula:

A= 1/2(b1+b2)h

h= height

b=base

A= 1/2(15+25)30

A= 1/2(40)(30)

A=1/2(1,200)

A= 600

Now, you multiply 600 by the cost of the tile to get how much money it will cost.

600*1.29= $774.00

Answer:

The answer to writing this graph in fully simplified slope-intercwpt form is y = 1/5x - 7.