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Maksim231197 [3]

2 years ago

5

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. The probability that x is between 1.

48 and 15. 56 is.

1 answer:

Natalka [10]2 years ago

7 0

Answer:

P(1.48<X<15.56) ≈ 0.919 ≈ 91.9%

Step-by-step explanation:

2nd+DISTR --> normalcdf

P(1.48<X<15.56) = normalcdf(1.48,15.56,8,4) ≈ 0.919

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Match the number with its opposite. Match Term Definition 9.2 A) 2.9 −2.9 B) −4.1 −1.4 C) −9.2 4.1 D) 1.4

jenyasd209 [6]

We have these opposite pairs

9.2 and -9.2
2.9 and -2.9
1.4 and -1.4
4.1 and -4.1

So all we're doing is matching each positive number with its negative version. In terms of a visual, the opposite of a number is mirrored over 0 on the number line. So for instance, the opposite of 2 is -2, with each being two units away from 0 on the number line.

8 0

3 years ago

The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

So, the sum of the first 1234 terms in the sequence is 2419.

8 0

2 years ago

Is 6/11 greater than 9/14

4vir4ik [10]

No because when you cross multiply 9/24 has a bigger number

3 0

3 years ago

Miles and Lucy decide to sell lemonade to earn some money. They buy pitchers, ice, and mix for a cost of $13.50. The mix makes 8

sleet_krkn [62]

Answer:

Altogether they made $24 which is enough to earn $12 each

Step-by-step explanation:

Important information:

1 cup: $0.75

4 cups = 1 quart

8 quarts of lemonade altogether

If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart

Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply

0.75 × 4 = 3

They make $3 per 1 quart

We are looking for the amount for 8 quarts though, not just 1. Again we must multiply

3 × 8 = 24

They will make $24 if they sell all 8 quarts

The questions ask if they will <em>each</em> earn $12

Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people

24 ÷ 2 = 12

$12

3 0

2 years ago

Please help Will mark Brainliest

Alchen [17]

Answer:

I'm pretty sure it's the last one !

Step-by-step explanation:

Good luck on your quiz!!

Hope you have a good day

:)

3 0

2 years ago