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blagie [28]
2 years ago
5

Suppose that 90% of bolts and 85% of nails meet specifications. One bolt and one nail are chosen independently. What is the prob

ability that both meet specifications? What is the probability that neither meets specifications? What is the probability that at least one of them meets specifications?
Mathematics
1 answer:
White raven [17]2 years ago
3 0

Answer:

76.5% probability that both meet specifications.

1.5% probability that neither meets specifications

98.5% probability that at least one of them meets specifications

Step-by-step explanation:

We have these following probabilities:

A 90% probability that a bolts meets specifications

A 85% probability that a nail meets specifications.

What is the probability that both meet specifications?

We multiply both probabilities:

0.9*0.85 = 0.765

76.5% probability that both meet specifications.

What is the probability that neither meets specifications?

A 10% probability that a bolts does not meet specifications

A 15% probability that a nail does not meet specifications.

0.1*0.15 = 0.015

1.5% probability that neither meets specifications

What is the probability that at least one of them meets specifications?

Either neither meets specifications, or at least one of them does. The sum of these probabilities is 100%.

From the second question, 1.5% probability that neither meets specifications.

So 100-1.5 = 98.5% probability that at least one of them meets specifications

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c= square root of a^2 + b^2 - 2ab cos c

the law of sines is
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3 years ago
There are six glass bottles and eight plastic bottles on a rack. If one is chosen at random, what is the probability of picking
ruslelena [56]
The probability of you picking a glass bottle is 3/7 
4 0
2 years ago
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(3/5)^2+4X3-2 what is the value of the expression
Sliva [168]

Answer:

10.36

Step-by-step explanation:

So your solution would be:

(\frac{3}{5})^{2} + 4 \times 3 - 2

=(\frac{3}{5})^{2} + 4 \times 3 - 2

=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2

=\dfrac{9}{25} + 4 \times 3 - 2

=0.36 + 4 \times 3 - 2

=0.36 + 12 - 2

=12.36 - 2

=10.36

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

=(\frac{3}{5})^{2} + 4 \times 3 - 2\\

=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2

=\dfrac{9}{25} + 4 \times 3 - 2

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

=0.36 + 4 \times 3 - 2

=0.36 + 12 - 2

Next we do the addition/subtraction. Again, whichever comes first.

=12.36 - 2

=10.36

7 0
3 years ago
Please help, I'll mark Brainiest. It's 8th grade math
yawa3891 [41]

Answer:

(-5, 2)

Step-by-step explanation:

<u>plug x into the equation x - 5y = -15</u>

-5 - 5y = -15

add 5 to both sides: -5y = -10

divide by -5: y = 2

7 0
2 years ago
Read 2 more answers
the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a
statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by P = 2l + 2w. We are given the perimeter of the pool along with the width.

P = 486

w = l - 35

From here, all we have to do is plug back into the original formula:

486 = 2l + 2(l - 35)

Which can be further simplified as:

486 = 2l + 2l - 70

486 = 4l - 70

From here, all we have to do is add 70 to both sides of the equation and divide by four:

556 = 4l

139 = l

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

P = 2l + 2w

P = 2(139) + 2(104)

P = 278 + 208

P = 486

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0
2 years ago
Read 2 more answers
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