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zysi [14]
3 years ago
9

For every two girls in Mr Hegartyis class there are three boys what is the ratio of boys to girls in the class?

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0

The answer would be, 2:3

vova2212 [387]3 years ago
4 0

Answer:

2:3

Step-by-step explanation:

for every 2 girls there is 3 boys so the ratio is 2:3

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THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
Fed [463]
<h3>Answer:  9 units</h3>

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

Explanation:

For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.

Use the pythagorean theorem to find that...

(AD)^2 + (BD)^2 = (AB)^2

(1)^2 + (BD)^2 = (3)^2

1 + (BD)^2 = 9

(BD)^2 = 9-1

(BD)^2 = 8

Normally we would isolate BD itself, but I'll stop short and use that last line instead.

------------------

The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).

Since we have similar triangles, we can form the proportion shown below

AD/BD = BD/CD

This cross multiplies to

AD*CD = (BD)^2

We know that AD = 1 and (BD)^2 = 8, so,

AD*CD = (BD)^2

1*CD = 8

CD = 8

This then means,

x = CD+DA

x = 8+1

x = 9

AC is 9 units long.

8 0
2 years ago
In the diagram below, BD is parallel to XY What is the value of y?
elena55 [62]

Answer:

y =110^\circ

Step-by-step explanation:

Given

See attachment for diagram

Required

Find y

From the attachment, 70 and y are interior angles.

So:

70 + y = 180

Solve for y

y = 180 - 70

y =110^\circ

5 0
3 years ago
Jill earned 40$ from a carpool plus 9$ per hour (h) babysitting this week. turn into an Expression
nadya68 [22]

Answer:

9h + 40

Step-by-step explanation:

You use 9h, because you don't know how many hours Jill worked, she already had 40$ so 40 is the constant.

7 0
3 years ago
The probability that a customer's order is not shipped on time is 0.06. A particular customer places three orders, and the order
charle [14.2K]

Answer:

a) There is a 83.06% probability that all orders are shipped on time.

b) There is a 15.90% probability that exactly one order is not shipped ontime.

c) The probability of at least two orders being late is 1.02% + 0.02% = 1.04%.

Step-by-step explanation:

Probability:

What you want to happen is the desired outcome.

Everything that can happen iis the total outcomes.

The probability is the division of the number of possible outcomes by the number of total outcomes.

In our problem, there is:

-A 6% probability that a customer's order is not shipped on time.

-A 94% probability that a customer's order is shipped on time.

We have these following orders:

O1 - O2 - O3.

(a) What is the probability that all are shipped on time?

The probabilities that each order is shipped on time are O1 = 0.94, O2 = 0.94 and O3 = 0.94. So:

P = (0.94)^{3} = 0.8306

There is a 83.06% probability that all orders are shipped on time.

(b) What is the probability that exactly one is not shipped ontime?

The order's can be permutated. What this means? It means that we can have O1 late and O2,03 on time, O2 late and O1,O3 on time and O3 late and O1, O2 on time. We have a permutation of 3 elements(the orders) with 2 and 1 repetitions(2 on time and one late).

The probability that an order is late is:

P = (0.94)^{2}(0.06) = 0.053 for each permutation

Considering the permutations:

P = 0.053*p^{3}_{2,1} = 0.053\frac{3!}{2!*1!} = 0.053*3 = 0.1590

There is a 15.90% probability that exactly one order is not shipped ontime.

(c) What is the probability that two or more orders are not shipped on time?

P = P1 + P2, where P1 is the probability that two orders are late and P3 is the probability that all three orders are late.

P1

Considering the permutations, the probability that two orders are late is:

P_{1} = p^{3}_{2,1}*(0.94)*(0.06)^{2} = 3*(0.94)*(0.06)^{2} = 0.0102

There is a 1.02% probability that two orders are late

P2

P_{2} = (0.06)^3 = 0.0002

There is a 0.02% probability that all three orders are late.

The probability of at least two orders being late is 1.02% + 0.02% = 1.04%.

5 0
3 years ago
How do I know that the angles are congruent?
elena55 [62]
The answer is ASA. Hope this helps!
8 0
3 years ago
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