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3 years ago

The sum of two consecutive numbers is n+1. What are the numbers?

1 answer:

5 0

Let, consecutive number is (n-1) & n
Then: n-1+n = n+1
2n-1 = n+1
2n-n = 1+1
n = 2
& (n-1) = 2-1 = 1

So, numbers are 1 & 2

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A test consists of 490 true or false questions. If the student guesses on each question, what is the standard deviation of the n

monitta

I believe the answer is 1.

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3 years ago

The weights of red delicious apples are approximately normally distributed with a mean of 9 Ounces and a standard deviation of 0

Simora [160]

Answer:

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

Step-by-step explanation:

Let X: weight of a red delicious apple, and B: the weight of the box and packing material.

The distribution that will represent W: the total weight of the packaged 5 randomly selected apples will be also normally distributed.

Applying the property of the mean: $E(aX)=aE(X)$ , the mean of W will be:

$\mu_W=E(W)=E(5X+B)=5E(X)+E(B)=5*9+10=45+10=55$

Applying the property of the variance: $V(aX+b)=a^2V(X)$ , the variance of W will be:

$\sigma^2_W=V(W)=V(5X+B)=5^2V(X)+V(B)=25*0.75+0=18.75$

The mean standard deviation of W will be the squared root of V(W):

$\sigma_W=\sqrt{V(W)}=\sqrt{18.75}=4.33$

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

3 0

3 years ago

Solve the system of equations by multiplying and adding. Enter the solution as an ordered pair.

GREYUIT [131]

Answer:

(x, y) = (- 3, 4)

Step-by-step explanation:

Given the 2 equations

5x + 2y = - 7 → (1)

4x - y = - 16 → (2)

multiply all terms in (2) by 2

8x - 2y = - 32 → (3)

Add (1) and (3) term by term

(5x + 8x) + (2y - 2y) = (- 7 - 32)

13x = - 39 ( divide both sides by 13 )

x = - 3

Substitute x = - 3 into either (1) or (2) and solve for y

substituting in (1) gives

(5 × - 3) + 2y = - 7

- 15 + 2y = - 7 ( add 15 to both sides )

2y = 8 ( divide both sides by 2 )

y = 4

solution is (- 3, 4 )

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3 years ago

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-Dominant- [34]

Answer:

1296 ft^3.

Step-by-step explanation:

The ratio of the volumes = 1^3 : 6^3

= 1 : 216.

So volume of the larger figure = 6 * 216

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago