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ivanzaharov [21]

3 years ago

9

A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances from two fixed p

oints, called the foci, is constant.
Please select the best answer from the choices provided

A. True
B. False

1 answer:

Anna35 [415]3 years ago

3 0

The answer is true, by definition, its true.

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If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80; what is the actual test score? (Round the ans

skad [1K]

If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75

<h3>How to solve z-score problems?</h3>

We are given;

Standard deviation; s = 5

z-score = 1.95

Mean = 80

Formula for z-score is;

z = (x' - μ)/σ

Thus;

1.95 = (x' - 80)/5

1.95 * 5 = (x' - 80)

9.75 = x' - 80

x' = 80 + 9.75

x' = 89.75

Read more about Z-score Problems at; brainly.com/question/25638875

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6 0

2 years ago

How much is 13,200 feet in miles

Naddika [18.5K]

Answer:

2.5 miles

Step-by-step explanation:

5 0

3 years ago

What is greater 16/25 or 65%

slega [8]

Hi there!

»»————-　★　————-««

I believe your answer is:

65% has the greater value.

»»————-　★　————-««

Here’s why:

We can convert both numbers into decimals and then compare the values.

⸻⸻⸻⸻

$\boxed{\text{Comparing Numbers:}}\\\\-------------\\\rightarrow\frac{16}{25}= 0.64\\\\\rightarrow 65\%=\frac{65}{100}=0.65\\ -------------\\\\\boxed{0.65 > 0.64}\\\\\text{Therefore:}\\\\\boxed{65\% > \frac{16}{25}}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

6 0

3 years ago

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

love history [14]

Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

<u>Given:</u>

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

<em>Interest is compounded annually.</em>

<u>To find:</u>

Rate of growth = ?

<u>Solution:</u>

First of all, let us have a look at the formula for compound interest.

$A = P \times (1+\frac{R}{100})^T$

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

$500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%$

So, the correct answer is $\approx$ <em>17.5% </em>per annum and compounding annually.

6 0

3 years ago

If you know abc=def can you state bc=ef

tia_tia [17]

Answer:

CPCTC

Step-by-step explanation:

If abc=def is given,

then using the cpctc rule. (corresponding parts of congruent triangles are congruent) should state this answer.

7 0

3 years ago