Writing expressions word prob

12345 [234]

Step-by-step explanation:

first you have to see the triangle BCD

then hypotheses and perpendicular are given so you have to find base

after finding base. In rectangle ABCD DC is length and BC is breadth so now you can find area by using the formula A = l×b

3 0

3 years ago

Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval. What

dezoksy [38]

Answer:

29.49% probability that a production time is between 9.7 and 12 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.

$P(c \leq X \leq d) = \frac{d - c}{b-a}$

Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.

This means that $a = 8, b = 15.8$

What is the probability that a production time is between 9.7 and 12 minutes?

$d = 12, c = 9.7$ .

So

$P(c \leq X \leq d) = \frac{d - c}{b-a}$

$P(9.7 \leq X \leq 12) = \frac{12 - 9.7}{15.8 - 8} = 0.2949$

29.49% probability that a production time is between 9.7 and 12 minutes

5 0

3 years ago

An employee at a department store is stocking cell phone cases. He has a box of 80 cases. Among the 80 cases, 40 are black, 10 a

Salsk061 [2.6K]

Answer:

$\sf \dfrac{203}{4108}$

As a decimal = 0.05 (nearest hundredth)

Step-by-step explanation:

$\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}$

First pick:

$\sf \implies P(pink)=\dfrac{30}{80}$

As the case is NOT replaced, second pick:

$\sf \implies P(pink)=\dfrac{30-1}{80-1}=\dfrac{29}{79}$

As the case is NOT replaced, third pick:

$\sf \implies P(pink)=\dfrac{29-1}{79-1}=\dfrac{28}{78}$

Therefore,

$\sf \implies P(pink \ and \ pink \ and \ pink)=\dfrac{30}{80} \times \dfrac{29}{79} \times \dfrac{28}{78}=\dfrac{203}{4108}$

Answer as a decimal = 0.05 (nearest hundredth)

6 0

2 years ago

Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?

frozen [14]

Answer:

56

Step-by-step explanation:

If the ratio of Zoe; Hannah is 3:7 and Zoe got 24 than we have to divide the 24 by 3 so we can multiply it by 7. This is because since the Zoe is the 3 and it isn't a 1 it isn't the starting point for either of the ratios we cannot multiply the 24 by 7.

24 ÷ 3 = 8

Now we multiply the 8 by 7 so that we know have many tips Hannah made

8 × 7 = 56

Hannah made 56 in tips

4 0

3 years ago

Read 2 more answers

How many vertical asymptotes exist for this function?

marin [14]

Remember that to find the vertical asymptotes of rational functions, we just need to set the denominator equal to zero and solve for the variable, in this case $x$ , so lets do it:
$(x-4)(x+1)=0$
$x=4,x=-1$

As you can see, our rational functions has 2 vertical asymptotes: $x=4$ and $x=-1$

5 0

3 years ago