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beks73 [17]
3 years ago
5

research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impur

ity in the fuse increases. the probability is modeled by the function y=3(257,959)x where x is the impurity concentration and y, given as a percent, is the probability of the fuse malfunctioning. find the probability of the fuse malfunctioning for an impurity concentration of 0.17. round to the nearest percent.
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0
Given that the probability <span>is modeled by the function
y=3(257,959)^x[tex]  where x is the impurity &#10;concentration and y, given as a percent, is the probability of the fuse &#10;malfunctioning.\\Then, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is given by [tex]y=3(257,959)^{0.17}=3(8.316941)=24.95

Therefore, the <span>probability of the fuse malfunctioning for an impurity concentration of 0.17 is 25% to the nearest percent.</span>
</span>
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Evaluate the expression 3(7 + 4)2 − 24 ÷ 6
solong [7]

Answer:

3(7 + 4)2 − 24 ÷ 6 = 62

Step-by-step explanation:

3(7 + 4)2 − 24 ÷ 6 is the given expression.

Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,

M = multiplication, A = addition and S = subtraction

we try and solve the following expression in the same order.

Solving the bracket first, we get

3<u>(7 + 4)</u>2 − 24 ÷ 6 = 3(<u>11</u>)2 − 24 ÷ 6  =<u> 66</u>  − 24 ÷ 6

Next, we solve divide,

66 − <u>24 ÷ 6</u> = 66 - <u>4</u>  

Next, solving the subtraction, 66 - 4    = 62

Hence, 3(7 + 4)2 − 24 ÷ 6 = 62

6 0
3 years ago
Pls can I have help with all of these xx
Alexxandr [17]
They are:

0.27
1.60
6.47
2.57
9.00
44.56
49.29
325.17
7 0
3 years ago
For every $10 Helen takes home, her employer withholds $3 for taxes and social security. Helen's gross pay each month is $1950.
goldfiish [28.3K]

$1,671.43 I believe is the answer

3 0
3 years ago
Can anyone help me please?
Nadya [2.5K]

Answer:

s ≤ -18

Step-by-step explanation:

Multiply both sides of the inequality by -3. Since the multiplier is negative, you need to reverse the comparison symbol.

(-3)(-s/3) ≤ (-3)(6)

s ≤ -18

_____

If you multiply by a positive number, you don't need to reverse the symbol. Hence multiplying by 3 gives ...

-s ≥ 18

You can now add s to both sides:

0 ≥ 18 + s

and subtract 18 from both sides:

-18 ≥ s

Of course, this is the same relationship as ...

s ≤ -18

6 0
3 years ago
Luis wants to buy a skateboard that usually sells for $135. At big AL's they are discounted 20%. What is the total cost of the s
tino4ka555 [31]

Answer:

117.99

Step-by-step explanation:

First step is to find the discount

Discount = original price * discount rate

               = 135 * 20%

                = 135*.20

                 =27

Take the discount from the original price and that is the new price

new price = original price - discount

                 = 135-27

                 =108

Now we need to find the tax

tax = new price * tax rate

       = 108 * 9.25%

       = 108 * .0925

        =9.99

The final price is the new price plus the tax

final price = new price + tax

                 = 108+9.99

                 =117.99

4 0
3 years ago
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