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Bond [772]
2 years ago
11

The measure of the largest angle of a triangle is 3 less than 5 times the measure of the smallest . the measure of the remaining

angle is 1 less than twice the measure of the smallest angle. find the measure of each angle.
Mathematics
1 answer:
lakkis [162]2 years ago
3 0
Suppose the smallest angle is x
the largest is 5x-3
the remaining angle is 2x-1
the three angles make a sum of 180: x+5x-3+2x-1=180
8x-4=180
8x=184
x=23
the smallest angle is 23 degree.
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igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

               \frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } ~ N(0,1)

where, p = 0.20 and n = 100

Let \hat p = proportion of red candies in our sample

So, P(\hat p < 0.20) = P(\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } < \frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } } ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

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3 years ago
AT YOUR NEW JOB AT THE COFFEE
alukav5142 [94]

Answer:

106 : 84

Step-by-step explanation:

53 : 42 = 106 : 84

The ratio is already in lowest terms so found I an equivalent ratio by multiplying both terms by 2.

7 0
3 years ago
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There are 45 Students per bus. Find the number of students on 5 buses
ss7ja [257]

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225 students

Step-by-step explanation:

45 x 5 = 225

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The sum of two numbers is 67 . the larger number is 5 more than the smaller number. what are the numbers?
Scorpion4ik [409]
Call the numbers x and y. According to the first sentence, x + y = 67. According to the second sentence, x = y + 5. You can combine these two equations to find the values of these variables:

x + y = 67
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2y = 62
y = 31

You can use this to find x by plugging in y to either original equation:

x = y + 5
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Find the interest using the formula I = Prt Principal: $1800 Interest Rate: 6.5% Time: 30 months Interest =​
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I = P r t

I = (1800) (6.5÷100) (30÷12)

I = (1800) ( 0.065) (2.5)

I = 292.50$
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