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1 day ago

If you ask three strangers about their birthdays, what is the probability:

1 answer:

8 0

Part A:

The probability that all three strangers have their birthdays on a Wednesday is calculated as

$\left( \frac{1}{7} \right)^3= \bold{\frac{1}{343}}$

Part B:

The probability that the birthdays of the three individuals fall on distinct days throughout the week is calculated as

$\left( \frac{1}{7} \right)\left( \frac{1}{6} \right)\left( \frac{1}{5} \right)= \bold{\frac{1}{210}}$

Part C:

The probability that none of the three have their birthdays on a Saturday is determined by

$\left( \frac{6}{7} \right)^3= \bold{\frac{216}{343}}$

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The triangles below are similar. Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle

Inessa [9000]

The similarity statements that illustrate the relationship between the two triangles include Triangle S R P being similar to triangle X Z Y, Triangle R S P corresponding to triangle Z X Y, and Triangle R P S matching triangle Z Y X.

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13 days ago

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Cells B1, C1, and D1 contain the values Seat1Row1, Seat1Row2, and Seat1Row3. If cells B1, C1, and D1 were selected, and autofill

babunello [8412]

Answer:

The autofilled results would be Seat1Row4, Seat1Row5, Seat1Row6

Step-by-step explanation:

Given

B1 = Seat1Row1

C1 = Seat1Row2

D1 = Seat1Row3

Required

Values for E1, F1, G1 if autofill is applied

Autofilling in Microsoft Excel allows automatic cell filling based on prior entries.

The autofill function adjusts various data types, including both numbers and alphanumeric characters.

However, when utilizing autofill for alphanumeric data in Excel, only the numeric portion is altered.

In this particular instance, the sequence of entries in B1, C1, and D1 includes Seat1Row1, Seat1Row2, and Seat1Row3

"Seat1Row" will be treated as a string, while the numbers 1, 2, and 3 will be incremented, allowing their respective alphanumeric outcomes to populate the given cells.

As a result,

The E1 cell will automatically become Seat1Row4

The cell F1 will be updated to Seat1Row5

The cell G1 will be updated to Seat1Row6

See attachment

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1 month ago

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Tia cut a 4- meter 8-centimeter wire into 10 equal pieces. marta cut a 540-centimeter wire into 9 equal pieces. how much longer

Svet_ta [9500]

To determine how much longer one of Marta's wires is compared to one of Tia's, follow these steps:

Tia's wire: 4 meters and 8 centimeters equals 408 centimeters
So, 408 centimeters divided by 10 equal pieces gives you 40.8 centimeters per piece

Marta's wire: 540 centimeters divided by 9 equal parts results in 60 centimeters per piece

From this, 60 minus 40.8 equals 19.2 centimeters

Thus, the final result shows that Marta's pieces are 19.2 centimeters longer.

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14 days ago

In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, Measure of angle G = 80 degrees, and Measure of angle H = 55 degrees. If Triangle A

zzz [9080]

Response:

AB = 10.6 cm

Detailed breakdown:

In triangle FGH, FG measures 12.3 cm, GH is 10.6 cm, m angle G is 80 degrees, and m angle H is 55 degrees. If triangle ABC is congruent to triangle GHF, which of the following statements holds true?

A. AB = 12.3 cm

B. AB = 10.6 cm

C. m angle C = 55 degrees

D. m angle C = 80 degrees

Response:

Since triangle ABC ≅ GHF, it indicates that triangle ABC is congruent to triangle GHF.

For two triangles to be congruent, the length of their three sides and measures of their three angles must be identical.

Thus, the corresponding sides and angles in triangle FGH match those in triangle ABC.

AB = GH

AB = 10.6 cm

m∠F + m∠G + m∠H = 180° (total of angles in a triangle)

m∠F + 80 + 55 = 180

m∠F + 135 = 180

m∠F = 180 - 135 = 45

m∠F = 45°

m∠F is equal to m∠C

m∠C = 45°

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11 days ago

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The transformation results in

... (x, y) ⇒ (x -3, y +6)..... moved 3 units to the left and 6 units upward

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... A(-1, 2) becomes A'(-1-3, 2+6) which simplifies to A'(-4, 8)

... B(1, 5) transforms to B'(1 -3, 5 +6) leading to B'(-2, 11)

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