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2 years ago

This is the back side of the paper

Mathematics

1 answer:

vodomira [7]2 years ago

6 0

Answer:

The answers are given below.

Step-by-step explanation:

8) A) acute 9) C) acute 10) D) right 11) B) acute

12) A) straight 13) A) acute 14) D) right 15) C) ∠L

16) B) ∠HIG 17) B) ∠DEC 18) B) ∠K 19) C) ∠G

20) C) ∠KLJ

We know that ,

1. when 0° < θ < 90°, θ is acute.

2. when θ = 90° θ is right

3. when 90° < θ < 180°, θ is obtuse

4. when θ = 180° θ is straight

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you borrow $5,860 from a bank you will have monthly payments of $205.10 for 3 years what percent will you pay back in interest o

disa [49]

Answer:

26%

Step-by-step explanation:

Your 36 monthly payments will total ...

36 × $205.10 = $7383.60

$5860 of that is the amount you borrowed. The remainder is the interest you pay:

$7383.60 -5860 = $1,523.60

As a percentage of the original loan amount this is ...

$1523.60/$5860 × 100% = 26%

You pay back 26% of the original loan amount in interest.

3 0

2 years ago

Helpppp ahhhhhhh plz

kaheart [24]

Answer:

It's Parallel

Step-by-step explanation:

Perpendicular have to intersect

3 0

2 years ago

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as

bija089 [108]

Answer:

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(score of the 36 golfers was between 70 and 71)

$\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}$

$P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%$

$P(70 \leq x \leq 71) = 47.7\%$

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

8 0

3 years ago

Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93

Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

$M = \frac{a + b}{2}$

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 2.93 and 3.1 volts

This means that $a = 2.93, b = 3.1$ . So

Mean:

$M = \frac{2.93 + 3.1}{2} = 3.015$

Standard deviation:

$S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049$

What is the probability that a battery has a voltage less than 2.98?

$P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941$

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0

2 years ago

What is the opposite of -9.7?

kondor19780726 [428]

Answer:

9.7..................

4 0

1 year ago

Read 2 more answers