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4 years ago

An angle measures 50° more than the measure of a complementary angle. what is the measure of each angle?

1 answer:

3 0

We solve the equation: a = 50 + ( 90 - a );
Then, a = 140 - a;
2a = 140;
a = 140/2;
a = 70 (it is the measure of one angle);
90 - 70 = 20 (it is the measure of another angle);

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Find the probability of each event. Answer IN FRACTION form.

IrinaK [193]

Answer:

So the idea is that we want to find the total number of ways that we can pick 7 diamonds (real or fake) from the 12 diamonds.

So as you said, 12 choose 7 = 792

Now we need the total number of ways that we can satisfy that of the 7 we picked, exactly three are real, but this also means that four are fake.

So to choose 3 real from 5 is 5 choose 3 = 10

And to choose 4 fake from 7 is 7 choose 4 = 35

3x10/792= 350/792= 175/396

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4 years ago

Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correct

SVETLANKA909090 [29]

Answer: 20% increase

Step-by-step explanation:

change/ original number

(60 - 50 / 50) x 100 = 20

20%

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3 years ago

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kicyunya [14]

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4 years ago

The z-score associated with 95% is 1.96. If the sample mean is 200 and the standard deviation is 30, find the upper limit of the

ziro4ka [17]

Answer:

The upper limit of the 95% confidence interval is:

C.I_u = 200 + (58.8/ $\sqrt{n}$ )

Step-by-step explanation:

The formula is given as:

C.I = μ ± Z*σ/ $\sqrt{n}$

The upper limit => C.I_u = μ + Z*σ/ $\sqrt{n}$

The lower limit => C.I_l = μ - Z*σ/ $\sqrt{n}$

The sample size (n) is not stated in the question. Hence, we calculate the upper limit with respect to n.

The upper limit => C.I_u = 200 + 1.96*(30/ $\sqrt{n}$ )

= 200 + (1.96*30)/ $\sqrt{n}$

= 200 + 58.8/ $\sqrt{n}$

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3 years ago

Simplify the expression by combining like terms if possible. If not possible select already simplified. 4a^2+2a+4a^2-5

vichka [17]

So the expression is: $4 a^{2} + 2a + 4 a^{2} - 5$

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two $4 a^{2}$ . $4 a^{2} + 4 a^{2} = 8 a^{2}$ The other terms can't be combined.

Your final answer should be $8 a^{2} +2a-5$ .

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4 years ago