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WINSTONCH [101]
3 years ago
14

Howard planted a tree in his front yard six months, one week, and two days ago. If today is August 13th, what day did Howard pla

nt the tree in his yard?
A. February 4
B. February 13
C. February 20
D. February 22
Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0
For this to be easier, we know the date is February, since we are subtracting the 6 months. So let's start with February 13th, and subtract a week. One week is equal to 7 days, so 13-7= 6. We're now on February 6th, and we still have to subtract 2 days. 6-2=4, so we are at our date. A, Howard planted a tree in his front yard on February 4th.
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Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that
zzz [600]

Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly <u>x successes on n repeated trials, with p probability.</u>  

The mean of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem:

  • Six percent of computer chips produced by Cheapo Chips are defective, hence p = 0.06.
  • Each month a random sample of 200 chips manufactured that month are taken, hence n = 200

Then:

E(X) = np = 200(0.06) = 12

\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36

The mean of X is of 12, with a standard deviation of 3.36.

A similar problem is given at brainly.com/question/12473640

4 0
2 years ago
I rlly need some help please if ur big brains im going to be asking multiple questions right now
Lynna [10]

You can break the shape up into a rectangle and a right triangle.

Use your trig ratios to find the missing sides.

Add all the sides up and you have your perimeter!

//

p = 2(l) + 2(w)

p = 2(10)  + 2(4)

p = 28

//

tan =  \frac{opp}{adj}

\tan(45) =  \frac{10}{adj}

adj =  \frac{10}{ \tan(45) }

adj = 10

{a}^{2}  +  {b}^{2}  =  {c}^{2}

{10}^{2}  + 10 {}^{2}  =  {200}^{2}

\sqrt{200} = 14.14213562

//

p = 10 + 4 + (4 + 10) + 14.14213562

<em>*notice how one of the 10 is left out because it is inside the shape so we can't use that to find perimeter.</em>

p = 42.14

3 0
3 years ago
Find the value of the expression. (m + n)3 for m = 1 and n = 1
charle [14.2K]

Answer:

8

Step-by-step explanation:

Given

(m + n)³ ← substitute m = 1, n = 1 into the expression

= (1 + 1)³ = 2³ = 2 × 2 × 2 = 8

7 0
3 years ago
Read 2 more answers
Please help asap. will mark brainliest
Dmitriy789 [7]

Answer:

he has 300 nickels

Step-by-step explanation:

6 0
2 years ago
Is 563 divisibly by 4
marusya05 [52]

Answer:

No

Step-by-step explanation:

To be divisible by 4 the last two digits have to be divisible by 4

so

is 63 divisibly by 4?

no

because is odd and four is even

so we can conclude that 563 is not divisible by 4

3 0
3 years ago
Read 2 more answers
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