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ivanzaharov [21]
3 years ago
7

Let f(x) =45x^2 – 2x + 1.  What is the value of f(5) · f(–10) – f(–5) · f(10)?

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0
F(-10)=4521
f(-5)=1136
f(10)=4481
4521-1136·4481=-5,085,895 (with PEMDAS) 15168185 (in the order as is)
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An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelec
Anastaziya [24]

Answer:

The probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

Step-by-step explanation:

Given:

The probability of getting a microprocessor from firm A is, P(A)=45\%=0.45

The probability of getting a microprocessor from firm B is, P(B)=30\%=0.30

The probability of getting a microprocessor from firm C is, P(C)=25\%=0.25

Now, let event D be having a defective microprocessor at random.

So, as per the question,

Probability of producing a defective microprocessor from firm A is, P(D/A)=6\%=0.06

Probability of producing a defective microprocessor from firm B is, P(D/B)=7\%=0.07

Probability of producing a defective microprocessor from firm C is, P(D/C)=5.5\%=0.055

Now, probability of having a defective microprocessor when selected at random is given as:

P(D)=P(A)\cdot P(D/A)+P(B)\cdot P(D/B)+P(C)\cdot P(D/C)\\P(D)=(0.45\times 0.06)+(0.30\times 0.07)+(0.25\times 0.055)\\P(D)=0.027+0.021+0.01375\\P(D)=0.06175\ or\ P(D)=0.06175\times 100\approx 6.2\%

Therefore, the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

5 0
3 years ago
Ten skeins of yarn will make 4 scarves. how many scarves can be made with 25 skeins of yarn?
ladessa [460]
If 10 skeins makes 4 scarves than if you multiply the skeins by 2 (20 skeins) it would make 8 scarves. There for dividing the skeins by 2 (5 skeins) it would make 2 scarves. So adding 20 skeins and 5 skeins you would get 10 scarves total
8 0
3 years ago
Drew wrote a four digit number less than 2000. The sum of its digit is 20. Only the digits in the ones place and hundreds place
jeka94
He wrote the number 1892, because:

The number needs to be less than 2000, with four digits. Because the first is half the last, it means that the number must be 1??2.

These two numbers add up to 3, and all together, they need to add to 20. 20-3=17. The remaining numbers need to add to 17.

The only two single digit numbers that can add to 17, are 8 and 9. Therefore, the number must either be 1892 or 1982.

The second digit needs to be even, meaning that the number has to be 1892.

I hope this helps.
7 0
3 years ago
Read 2 more answers
What is the quotient of 15,048 and 76​
vitfil [10]

Answer:

If you mean 15,048 ÷ 76, the quotient is 198.

If you mean 76 ÷ 15,048, the answer is 0.00505050505. But I doubt that’s what you mean.

8 0
3 years ago
Find an equation for the inverse for each of the following.
IgorLugansk [536]

Answer:

  • <em>To solve these first swap x and y, solve for y and name it inverse function</em>

3. <u>y = -8x + 2</u>

  • x = -8y + 2
  • 8y = -x + 2
  • y = -x/8 + 2/8
  • y = -(18)x + 1/4

f⁻¹(x) = -(18)x + 1/4

-----------------------------------------

4.<u> y = (2/3)x - 5</u>

  • x = (2/3)y - 5
  • (2/3)y = x + 5
  • y = (3/2)x + (3/2)5
  • y = 1.5x + 7.5

f⁻¹(x) = 1.5x + 7.5

-----------------------------------------

5. <u>f(x) = 2x² - 6</u>

  • x = 2y² - 6
  • 2y² = x + 6
  • y² = 1/2x + 3
  • y = \sqrt{1/2x + 3}

f⁻¹(x) = \sqrt{1/2x + 3}

-----------------------------------------

6. <u>y = (x - 3)²</u>

  • x = (y - 3)²
  • \sqrt{x} = y - 3
  • y = 3 + \sqrt{x}

f⁻¹(x) = 3 +  \sqrt{x}

4 0
3 years ago
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