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SOVA2 [1]
2 years ago
5

For problem number four on the paper I’m confused I don’t know how to do the table with decimals can someone please explain how

to

Mathematics
1 answer:
Lostsunrise [7]2 years ago
6 0

Answer:

$7.00

Step-by-step explanation:

2.10 \div 6 = 0.35

4a) 1 oz of coffee is equal to 0.35c, which is consistent with everything in the table.

4b)Knowing this, if we have 20 oz of coffee, and we multiply it by 0.35, we will get how much it costs for this cup.

20*0.35 = 7.00

Hope this makes sense and feel free to ask questions!

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Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books. How many minutes will she
Lubov Fominskaja [6]

Answer:

75 minutes

Step-by-step explanation:

Assuming that Clare will not take a break throughout the session

10 books=1 minute

750 books= x minutes

Cross multiplying to find the value of x

10x books=750 books minutes

Making x the subject

x=750 books minutes/(10 books)

x=75 minutes

This translates to 1 hours and 15 minutes

Therefore, Clare will require 75 minutes

5 0
3 years ago
Suppose X has an exponential distribution with mean equal to 23. Determine the following:
e-lub [12.9K]

Answer:

a) P(X > 10) = 0.6473

b) P(X > 20) = 0.4190

c) P(X < 30) = 0.7288

d) x = 68.87

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

Mean equal to 23.

This means that m = 23, \mu = \frac{1}{23} = 0.0435

(a) P(X >10)

P(X > 10) = e^{-0.0435*10} = 0.6473

So

P(X > 10) = 0.6473

(b) P(X >20)

P(X > 20) = e^{-0.0435*20} = 0.4190

So

P(X > 20) = 0.4190

(c) P(X <30)

P(X \leq 30) = 1 - e^{-0.0435*30} = 0.7288

So

P(X < 30) = 0.7288

(d) Find the value of x such that P(X > x) = 0.05

So

P(X > x) = e^{-\mu x}

0.05 = e^{-0.0435x}

\ln{e^{-0.0435x}} = \ln{0.05}

-0.0435x = \ln{0.05}

x = -\frac{\ln{0.05}}{0.0435}

x = 68.87

5 0
3 years ago
Suppose that you have $6000 to invest. Which investment yields the greater return over four years: 8.25% compounded quarterly or
WARRIOR [948]
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\bf ~~~~~~ \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to &\$6000\\&#10;r=rate\to 8.3\%\to \frac{8.3}{100}\to &0.083\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{semiannually, thus two}&#10;\end{array}\to &2\\&#10;t=years\to &4&#10;\end{cases}&#10;\\\\\\&#10;A=6000\left(1+\frac{0.083}{2}\right)^{2\cdot 4}\implies A=6000(1.0415)^8

compare them away.
4 0
3 years ago
Round 290951.867863 to the nearest hundred.
andreev551 [17]

Answer: 290951.87

Step-by-step explanation:

Hope this helps :D

5 0
2 years ago
A palm tree is supported by two guy wires as shown in the diagram below.
garri49 [273]

Answer:

I think it's a or b the picture is fuzzy

8 0
3 years ago
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