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natta225 [31]
3 years ago
13

The average (arithmetic mean) weight of the students in the French Club is 150 pounds, and the average weight of the students in

the Spanish Club is 130 pounds. If no one is a member of both clubs, if the average weight of all the students is 142 pounds, and if there are 30 members in the French Club, how many members are there in the Spanish Club?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0
20 members are in the spanish club
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What options are available to the decision maker if the probabilities of the states of nature are unknown?
statuscvo [17]

Answer:

The states of nature refer to future events, not under the control of the decision maker, which may occur. States of nature should be defined so that they are mutually exclusive and collectively exhaustive.

7 0
3 years ago
Need help with this one
Tatiana [17]
Its D

i hope this helps
6 0
3 years ago
I need the angle measurements for each letter in this image
Blizzard [7]

Answer:

To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.

Now we can solve this.

100+c=180.

Move the 100 over to the other side.

100-100+c=180-100

Simplify.

∠C=80°

Because we know that the two lines with double arrows are parallel, we can use the rule that alternate interior angles are congruent. This means that ∠E=70.

∠E=70°

Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.

80+70+D=180

Simplify this.

150+D=180

Now we move the 150 over to the other side to get D by itself.

150-150+D=180-150

Simplify.

D=30

∠D=30°

Now we can find the vertical angle opposite ∠A by using the alternate interior angles rule again this time using the parallel lines with only one arrow on them. The vertical angle opposite ∠A=30°. Since vertical angles are congruent ∠A=30°.

∠A=30°

We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.

30+B=180

Now we move the 30 over to the other side.

30-30+B=180-30

Simplify.

B=150

∠B=150°

I hope this helps!

7 0
2 years ago
Read 2 more answers
In triangle pqr PQ is equals to PR and angle Q is equals to 80 degree find angle p​
Dmitry [639]

Answer: ∠P= 20°

<h3>Step-by-step explanation: Well we know that the sum of a triangle always equals to 180°, so ∠P + 80 +80 = 180° </h3>

∠P + 160 = 180

Subtract 160 from both sides, 160 on the left is cancelled so that 180-160 equals 20  

∠P=20°

6 0
3 years ago
Don went to his favorite restaurant and ordered a meal. His bill came out to $15.77. He wants to pay a 15% tip. How much did he
melamori03 [73]
You want to leave a 15% tip on a meal that cost $15.77.
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $15.77 meal cost is.This is always done by multiplying 0.15 by $15.77, or

0.15 x $15.77=$2.37.
So, the amount of tip you are going to leave is $2.37.

This makes the total cost of your meal (to write on your charge slip or other payment)

$15.77 + $2.37 = $18.14

$18.14 is your answer
5 0
3 years ago
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