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barxatty [35]
3 years ago
14

A box contains 5 plain pencils and 7 pens. A second box contains 4 color pencils and 4

Mathematics
1 answer:
Savatey [412]3 years ago
3 0
5:7 (pencils to pens)

7/12 chance that a pen from the first box will be selected.

4:4 (colour pencils to crayons)

4/8 = 1/2 chance that a crayon from the second box will be selected.

The probability of picking both:

7/12 * 1/2 = 8/24 = 1/3



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HELP ME ASAP for 37 points!! which expression is equivalent to 14.5d+8.5-1/2d+1/2+2.5d
lina2011 [118]

Equivalent expressions are expressions with equal values

The equivalent expression is 16.5d+9

<h3>How to determine the equivalent expression</h3>

The expression is given as:

14.5d+8.5-1/2d+1/2+2.5d

Express the fractions as decimals

14.5d+8.5-0.5d+0.5+2.5d

Collect like terms

14.5d-0.5d+2.5d+8.5+0.5

Evaluate the like terms

16.5d+9

Hence, the equivalent expression is 16.5d+9

Read more about equivalent expressions at:

brainly.com/question/2972832

7 0
2 years ago
Help! I need an explanation if you answer so maybe I can get the other questions easily☺️
Dmitriy789 [7]

I am not sure on this sorry .......  I think it's $5.00 .....

4 0
3 years ago
Suppose that the amount of time T a customer spends in a bank is exponentially distributed with an average of 10 minutes. What i
Bad White [126]

Answer:

The probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is 0.6065.

Step-by-step explanation:

The random variable <em>T</em> is defined as the amount of time a customer spends in a bank.

The random variable <em>T</em> is exponentially distributed.

The probability density function of a an exponential random variable is:

f(x)=\lambda e^{-\lambda x};\ x>0

The average time a customer spends in a bank is <em>β</em> = 10 minutes.

Then the parameter of the distribution is:

\lambda=\frac{1}{\beta}=\frac{1}{10}=0.10

An exponential distribution has a memory-less property, i.e the future probabilities are not affected by any past data.

That is, <em>P</em> (<em>X</em> > <em>s</em> + <em>x</em> | <em>X</em> ><em> s</em>) = <em>P</em> (<em>X</em> > <em>x</em>)

So the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is:

P (X > 15 | X > 10) = P (X > 5)

\int\limits^{\infty}_{5} {f(x)} \, dx =\int\limits^{\infty}_{5}  {\lambda e^{-\lambda x}} \, dx\\=\int\limits^{\infty}_{5}  {0.10 e^{-0.10 x}} \, dx\\=0.10\int\limits^{\infty}_{5}  {e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10}|^{\infty}_{5}\\=[-e^{-0.10 \times \infty}+e^{-0.10 \times 5}]\\=0.6065

Thus, the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes  is 0.6065.

8 0
3 years ago
If x=4 canculate the value of x2 + 2x
alexandr402 [8]

If u check your answer on google ithink u can get

6 0
3 years ago
Read 2 more answers
WHOEVER SOLVES ALL OF THEM WILL BE MARKED BRAINLIEST
Alenkasestr [34]

Answer:

1. A(1;5), B(10;23), slope of 2

2. A(10;9), B(4;0), slope of 1.5

3. A(-35/4;6), B(9;-35/6), slope of -2/3

4. A(5;18), B(25,22), slope of 0.2

5. A(2/9;1/3), B(2/3,-1/3), slope of -1.5

Step-by-step explanation:

Substitute values with correct variable and slopemis coefficient of x when x and y-int. are on 1 side, y is on other side and has coefficient of 1. Hope it works!

4 0
3 years ago
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