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3 years ago

Units of Length

Mathematics

1 answer:

grin007 [14]3 years ago

7 0

the answer is:

78.7 (i rounded it to the nearest tenth)

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A single card is drawn from a standard 52 card deck.

Tju [1.3M]

Answer: $\dfrac{1}{4}$

Step-by-step explanation:

A standard 52 card deck includes spades, clubs, hearts, and diamonds.

13 card of each category is present

So, there are 13 spades present in the deck

Probability is the ratio of favorable to the total outcomes.

$\therefore P=\dfrac{13}{52}\\\\\Rightarrow P=\dfrac{1}{4}$

3 0

3 years ago

A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia

iogann1982 [59]

$\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\$

$\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}$

what's the population in 2004? well, from 1994 to 2004 is 10 years later, so t = 10

plug that in, to get P for 2004

3 0

4 years ago

Express as a trinomial.<br> (2 – 4)(2x + 3)

Karolina [17]

Answer:

-2(2x+3)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Caitlin earns money as a lifeguard and as a pet sitter. In one week, she earned $25 pet sitting. The total amount of money she e

Pavel [41]

Answer:

I actually needed help with the answer but now I think about it the answer is answer C. $50

Step-by-step explanation:

3 0

3 years ago

Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a

atroni [7]

Answer:

10/3 of a kitchen cabinet

Step-by-step explanation:

To make a full hour, 1/5 would be multiplied by 5- and so would their progress.

2/3 * 5 = 10/3, which is also an improper fraction.

6 0

3 years ago