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drek231 [11]
3 years ago
15

I am building a fence in my backyard. I have 120 nails, and I need to put 4 nails

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0
120/4 is 30
You'll be able to put 4 nails thirty times.
You put them every 6 feet
So, you have 5 feet before running out.
Mama L [17]3 years ago
4 0
5 feet because 120 divided by 4 is 30
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Local extreme Value for each of the Following A) F(x)=x^² - 4x² +5​
kobusy [5.1K]

Answer:

max{x²-4x²+5} = 5 at x = 0

Step-by-step explanation:

1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.

f'(x)=0

We get:

f(x) = -3x^2+5\\f'(x) = -6x\\-6x = 0\\x = 0

So the critical number is x = 0.

2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:

f'(x) is positive when the x < 0 (for example: -6*(-1)=+)

f'(x) is negative when the x > 0 (for example: -6*(1)=-)

Therefore, you have a local maximum.

Now just get the Y value by plugging in the critical number in the original function. f(0)=5

local maximum is (0,5)

4 0
1 year ago
A larger number is one less than five times a smaller number. The sum of
Andre45 [30]

Answer:

whichever of these formats you need its the same answer (16/6) or 2.66666 or (2 and 2/3rds)

Step-by-step explanation:

replace smaller variable with x for example

(x) + (5x-1) = 17

6x-1=17

6x=16

x=(16/6 or 2.666666 or 2and2/3)

6 0
3 years ago
3. Write an equation in point-slope form for the line through the given point with the given slope.
ASHA 777 [7]
3C
4C
5B (parallel means same slope)
7 0
2 years ago
The ratio of boys and girls in a swim club was 2:4 there were 14 girls how many total members were there in the club
Oxana [17]
I think its 21 but im not to sure
3 0
3 years ago
A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the
Ne4ueva [31]

Answer:

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Test positive

Event B: Has the disease

Probability of a positive test:

90% of 3%(has the disease).

1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So

P(A) = 0.90*0.03 + 0.1*0.97 = 0.124

Intersection of A and B:

Positive test and has the disease, so 90% of 3%

P(A \cap B) = 0.9*0.03 = 0.027

What is the conditional probability that she does, in fact, have the disease

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

3 0
3 years ago
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