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3 years ago

1Q _____is neither a prime number nor a composite number

1 answer:

3 0

Answer for 1) One
Answer for 2) Two
Answer for 3) A prime number has only two factors, one and two.
Answer for 4) Two is the smallest prime number [I don’t understand that wording so that’s the best I can come up with]
Answer for 5) There are eight prime numbers less than 20.

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Mr. and Mrs. Williams hope to send their daughter to college in twelve years. How much money should they invest now at an intere

Marta_Voda [28]

$~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$9000\\ P=\textit{original amount deposited}\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &12 \end{cases} \\\\\\ 9000=Pe^{0.085\cdot 12}\implies 9000Pe^{1.02}\implies \cfrac{9000}{e^{1.02}}=P\implies 3245.35\approx P$

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2 years ago

The speed of light is 3 × 108 meters per second. It take 1.82 × 102 seconds for light to reach Mars. What is the distance, in me

Snowcat [4.5K]

Answer:

D 5.46 x 10^10

Step-by-step explanation:

Recall that speed is the rate of change of distance with time and may be expressed mathematically as

speed = Distance/time

Distance = speed * time

Hence given that the speed of light

= 3 × 10^8 meters per second

Time taken for light to travel between the given distance

= 1.82 × 10^2 seconds

substituting the given values

Distance = 3 × 10^8 * 1.82 × 10^2

= 5.46 * 10^(8+2)

= 5.46 * 10^10 meters

4 0

3 years ago

Given: b = 600, B = 11°, C = 75° in triangle ABC; find a. (Round the answer to the nearest whole number.) a =

sergiy2304 [10]

Use the Law of Sines:

600 a
---------- = ---------- where 94 came from subtracting (11 + 75) from 180.
sin 11 sin 94

Solve this for side a.

8 0

3 years ago

Read 2 more answers

HELP PLZZZzzzzzzzzzzzzz

AleksandrR [38]

Answer:

Step-by-step explanation:

i hope im right

3 0

3 years ago

g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G

patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

$\mathbf{P(positive) = P(positive \ | \ DIPG) \times P(DIPG) + P(positive \ | \ not \DIPG)\times P(not \ DIPG)}$ $= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})$

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

$P(not \ DIPG \ | \ positive) = \dfrac{ P(positive \ | \ not DIPG)\timesP(not \ DIPG)} { P(positive)}$

$=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}$

$=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}$

= 0.9586

8 0

3 years ago