Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school
Take the bus
Walk
Sophomore
N
25
3
Junior
13
20
N
Senior
25
5
5
P(Walk to school | Senior ) = [?]
Round in the

Answer:

255

Step-by-step explanation:

The summation value of the term in the series will be equal to

3 + 12 +48 + 192 after calculation.

Here, we have,

We know that, summation:

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.

Now we have a given term

∑(n = 1 to 4) 3(4)^n-1

By solving the above term;

∑(n = 1 to 4) 3(4)^n-1

=3 + 12 +48 + 192

Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.

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Answer:

2.)70

4.)451,17

Step-by-step explanation:

2.)

a1 = 8*5 = 40

a2 = ((20-8)*5)/2 = 30

aTotal = 40+30 = 70

4.)

a1 = 18*18 = 324

a2 = (πr²)/2 = 127,17

aTotal = 127,17 + 324 = 451,17

Answer:

x = 30 in

Step-by-step explanation:

length of rectangle is (2/3)x + 10; width is (1/3)x + 5;

perimeter is 90 in; find x:

P = 90 in = 2(2/3)x + 2(10) + 2(1/3)x + 2(5), or

      90 in = (6/3)x + 30 in

Solving for x, we get (2)x = 60 in, or x = 30 in

Answer:

the 2nd one

Step-by-step explanation:

Answer:

Q1 : [tex]\frac{5}{8}[/tex]

Q2: [tex]\frac{2}{3}[/tex]

Q3: [tex]\frac{11}{12}[/tex]

Q4: [tex]\frac{4}{5}[/tex]

Q5:  [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

Q1. [tex]\frac{5}{8}[/tex]

Q2. [tex]\frac{2}{3}[/tex]

Q3. [tex]\frac{11}{12}[/tex]

Q4. [tex]\frac{4}{5}[/tex]

Q5. [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Q1.

[tex]\sqrt{\frac{25}{64}}[/tex] ⇒ [tex]\frac{\sqrt{25}}{\sqrt{64}}[/tex] = [tex]\frac{5}{8}[/tex]

Q2.

[tex]\sqrt{\frac{36}{81}}[/tex] ⇒ [tex]\frac{\sqrt{36}}{\sqrt{81}}[/tex] = [tex]\frac{6}{9} = \frac{2}{3}[/tex]

Q3.

[tex]\sqrt{\frac{121}{144}}[/tex] ⇒ [tex]\frac{\sqrt{121}}{\sqrt{144}} = \frac{11}{12}[/tex]

Q4.

[tex]\sqrt{\frac{64}{100}}[/tex] ⇒ [tex]\frac{\sqrt{64}}{\sqrt{100}} = \frac{8}{10} = \frac{4}{5}[/tex]

Q5.

[tex]\sqrt{\frac{4}{9}}[/tex] ⇒ [tex]\frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}[/tex]

Answer:

-5a - 16

Step-by-step explanation:

Mark as Brainllest

Answer:

-11

Step-by-step explanation:

Answer:

I believe it's 39.

(9 - 2)^2 - |3 - 17| + 4

(7)^2 - |-14| + 4

49 - 14 + 4

35 + 4

39

Answer:

k = 20

can i have brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x > 7, o 7(x > 1).

es x>1

espero y te ayude esto

Answer:

4

Step-by-step explanation:

Looking at the stem and leaf plot, we have 4 zoos that have less than 18 sloths, with one zoo having 3, one having 16, and two having 17.

Answer:

  The answer would be $1995

Step-by-step explanation:

Trust me

Answer:

i think it's reflection followed by translation

Step-by-step explanation:

Answer:

step 1) glide translation of EFG by one unit to the left and 2 units down

step 2) reflection over the x-axis

Step-by-step explanation:

The transformation used to map ABCD to EFGH is rotation of 180 degrees about the origin.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The transformation used to map ABCD to EFGH is rotation of 180 degrees about the origin.

Find out more on transformation at: https://brainly.com/question/4289712

Answer:

x^2+x-2

Step-by-step explanation:

To calculate the area of the shape we need to multiply height to the base

(x-1) * (x+8) = x^2+7x-8

Step-by-step explanation:

f(3) = 48

f(3)-f(4) = 3*3^2

f(4) = 21

f(4)-f(5) = 3*4^2

f(5) = -27

Step-by-step explanation:

1. 60 apples

2. 60-4=56

3. 56+200=256

200/60

60/4

60+60=120

120+60=180

I think either 13.

Answer:

No. 4/10 >4/6

Step-by-step explanation:

I hope this helps you :)

Answer:

12 cups of water

Step-by-step explanation:

This question has to do with conversion

We are told that she buy 1 quart and 1/2 gallon of water.

Hence,

1 quart of water = 4 cups of water

1 gallon of water = 16 cups of water

1/2 gallon of water = x

Cross Multiple

x = 1/2 × 16 cups of water

x = 8 cups of water.

Therefore, the total cups of water that she bought = 4 cups of water + 8 cups of water = 12 cups of water

Answer:

28 units

Step-by-step explanation:

Firstly, we can see that the vertical sides are 9 units each.

To get the diagonal sides, we can turn the ends into right triangles, which we can then use with the Pythagorean Theorum.

To make the top side into a triangle, we would draw a horizontal line connecting points (-1, 3) and (3, 3). This creates a right angle which is essential when using the Pythagorean Theorum.

A^2 + B^2 = C^2

We can plug in values for the Pythagorean Theorum because we can see that going across horizontally from point (-1, 3) to (3, 3), there are 4 units in between the two points. This will be our A value. We will do the same but vertically from points (3, 6) to (3, 3). The 3 units between the two points will be our B value. Now, we can plug in our values into the Pythagorean Theorum to find side C, the hypotenuse.

4^2 + 3^2 = C^2

16 + 9 = C^2

25 = C^2

√25 = C

C = 5

Now that we know the diagonal value of the side, we also know the same diagonal value of the bottom side. When you add all four sides together,

9 + 5 + 9 + 5 = 28

you get 28, which is the perimeter of the parallelogram.

Answer: |x-5|

Step-by-step explanation:

I dont know how to exlplain it

Answer:

Negative twelve aka -12

Answer:

-12

Step-by-step explanation:

15/2 ÷ (9/2 - 41/8)

= 15/2 ÷ (36/8 - 41/8)

= 15/2 ÷ (-5/8)

= 15/2 × (-8/5)

= -120/10 or -12

Answer:

p ≤ 10

Step-by-step explanation:

3/5 * p ≤ 6

Multiply each side by 5/3

5/3 *3/5 * p ≤ 6* 5/3

p ≤ 10

Answer:

p< 10

Step-by-step explanation:

See the image below:)

Answer:

3.

Step-by-step explanation:

Answer:

[tex]6^{2}[/tex]

Step-by-step explanation:

When dividing numbers with same bases with indices this is the rule:

[tex]\frac{x^{y}}{x^{z} } =x^{y-z}[/tex]

So the answer is:

[tex]6^{7-5} = 6^{2}[/tex]

Answer:

D: I and IV only.

Step-by-step explanation:

We can go through each statement and examine its validity.

I) All congruent triangles are similar.

For congruent triangles, all of its corresponding sides and angles are congruent.

Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.

II) All similar triangles are congruent.

Congruence guarantees similarity, but similarity does not guarantee congruence.

Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.

III) All right triangles are similar.

Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.

IV) All isosceles right triangles are similar.

Again, since we have a right triangle, one angle is 90, which leaves two remaining angles that must sum to 90.

However, since it is isosceles, the two remaining angles must measure the same. Only one solution exists then: both angles must be 45.

Since all angles must be 45 - 45 - 90, it fulfills the AA Criterion. Thus, all isosceles right triangles are similar. IV is true.

The correct statements are I and IV.

y = 2√10......... or y=√40