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3 years ago

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Write in exponent form 85

1 answer:

Nataly [62]3 years ago

4 0

We are given 85

Firstly, we will find all possible factors of 85

we can write it as

$85=1*5*17$

so, exponential form is

$85=5^1*17^1$ ................Answer

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what is an equation of the line that is parallel to the line with y=-.60x+2 and passes through the point (10,-10)

sp2606 [1]

y = -0.60x - 4

because the slope stays the same because it is parallel and the y intercept for the new equation ends up being -4

4 0

3 years ago

Find the slope<br> A.-1/7<br> B.1/7<br> C.7<br> D.-7

const2013 [10]

Answer:

A

Step-by-step explanation:

It just is

6 0

3 years ago

Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample of 3 is taken at random without replacemen

SSSSS [86.1K]

Answer:

a.) 0.5

b.) 0.66

c.) 0.83

Step-by-step explanation:

As given,

Total Number of Batteries in the drawer = 10

Total Number of defective Batteries in the drawer = 4

⇒Total Number of non - defective Batteries in the drawer = 10 - 4 = 6

Now,

As, a sample of 3 is taken at random without replacement.

a.)

Getting exactly one defective battery means -

1 - from defective battery

2 - from non-defective battery

So,

Getting exactly 1 defective battery = ⁴C₁ × ⁶C₂ = $\frac{4!}{1! (4 - 1 )!}$ × $\frac{6!}{2! (6 - 2 )!}$

= $\frac{4!}{(3)!}$ × $\frac{6!}{2! (4)!}$

= $\frac{4.3!}{(3)!}$ × $\frac{6.5.4!}{2! (4)!}$

= $4$ × $\frac{6.5}{2.1! }$

= $4$ × $15$ = 60

Total Number of possibility = ¹⁰C₃ = $\frac{10!}{3! (10-3)!}$

= $\frac{10!}{3! (7)!}$

= $\frac{10.9.8.7!}{3! (7)!}$

= $\frac{10.9.8}{3.2.1!}$

= 120

So, probability = $\frac{60}{120} = \frac{1}{2} = 0.5$

b.)

at most one defective battery :

⇒either the defective battery is 1 or 0

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 0 , then 3 non defective

Possibility = ⁴C₀ × ⁶C₃

= $\frac{4!}{0! (4 - 0)!}$ × $\frac{6!}{3! (6 - 3)!}$

= $\frac{4!}{(4)!}$ × $\frac{6!}{3! (3)!}$

= 1 × $\frac{6.5.4.3!}{3.2.1! (3)!}$

= 1× $\frac{6.5.4}{3.2.1! }$

= 1 × 20 = 20

getting at most 1 defective battery = 60 + 20 = 80

Probability = $\frac{80}{120} = \frac{8}{12} = 0.66$

c.)

at least one defective battery :

⇒either the defective battery is 1 or 2 or 3

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 2 , then 1 non defective

Possibility = ⁴C₂ × ⁶C₁

= $\frac{4!}{2! (4 - 2)!}$ × $\frac{6!}{1! (6 - 1)!}$

= $\frac{4!}{2! (2)!}$ × $\frac{6!}{1! (5)!}$

= $\frac{4.3.2!}{2! (2)!}$ × $\frac{6.5!}{1! (5)!}$

= $\frac{4.3}{2.1!}$ × $\frac{6}{1}$

= 6 × 6 = 36

If the defective battery is 3 , then 0 non defective

Possibility = ⁴C₃ × ⁶C₀

= $\frac{4!}{3! (4 - 3)!}$ × $\frac{6!}{0! (6 - 0)!}$

= $\frac{4!}{3! (1)!}$ × $\frac{6!}{(6)!}$

= $\frac{4.3!}{3!}$ × 1

= 4×1 = 4

getting at most 1 defective battery = 60 + 36 + 4 = 100

Probability = $\frac{100}{120} = \frac{10}{12} = 0.83$

3 0

3 years ago

Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Descr

notka56 [123]

Answer:

Part A) The correct Expression : (1.05)(190)(0.8)

=> The error of Joel was that instead of adding the sales tax, he subtracted it.

Part B) $159.60

Step-by-step explanation:

<u><em>Part A:</em></u>

To calculate the computer cost, we need to find out the selling price first.

There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8

<em>So, We'll multiply the cost price by 0.8</em>

=> (190)(0.8)

But, there is a sales tax of 5%

<u><em>So, the selling price with cost price will be:</em></u>

=> 100% + 5% = 105% => 105/100 = 1.05 (We'll multiply this too with the first equation that we made above)

So, the expression will be:

=> (1.05)(190)(0.8)

The error of Joel was that instead of adding the sales tax, he subtracted it.

<u><em>Part B)</em></u>

<u><em>Joel will pay for the tablet:</em></u>

=> (1.05)(190)(0.8) [We used the above expression]

=> $159.60

6 0

3 years ago

$23.77 with a 10% tip

Triss [41]

Answer:

$26.15 total

Step-by-step explanation:

23.77(1.1)=26.147

5 0

3 years ago

Read 2 more answers