Write in summation notation.
11) -2+ 1 + 4+...
+ 13
I’ll give brainliest to whoever answers correctly first

Answer:

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.

This means that [tex]\mu = 20, \sigma = 5[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]

What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?

This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So

X = 21

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{21 - 20}{0.5}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 19

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{19 - 20}{0.5}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

Answer:

A

Step-by-step explanation:

So, first we have to eliminate answers, let us check A first. If we simplify this equation, it's basically saying Y is equal to 1.3 times X plus 10. So, 0 x 1.3 = 0 plus 10 = 10. Now we check the rest of the table. 5 x 1.3 = 6.5 + 10 = 16.5. 10 x 1.3 + 10 = 23. 15 x 1.3 + 10 = 29.5,  and 20 x 1.3 = 26 + 10= 36. The math matches with the table so we're done.

Answer:

{x | x < 10/7}

Step-by-step explanation:

Answer:

2.154

Step-by-step explanation:

.2453

Answer:

Compound interest earns interest on the principal plus any previous interest earned.

Step-by-step explanation:

compound interest gets its name because the interest keeps on 'compounding' which means earning interest on interest

The correct best describes the difference between simple and compound interest is,

⇒ Compound interest earns interest on the principal plus any previous interest earned.

Option 3 is true.

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

We have to given that;

To defined best describes the difference between simple and compound interest.

Now, We know that;

Compound interest pays interest on your previous balance plus your previous earned interest; simple interest pays interest only on your original balance.

Hence, The correct best describes the difference between simple and compound interest is,

⇒ Compound interest earns interest on the principal plus any previous interest earned.

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Answer:

Step-by-step explanation:

I'm assuming you have 26 cards each with a different letter on it.

(d) Prob(Not M, Not M , M)

= 25/26 * 25*26 * 1/26

= 625/17576

or 0.036 to nearest thousand

(e) Prob(Not M, Not M,  M) without replacement

= 25/26*24/25*/1/24

= 1/26

or 0.038 to nearest thousandth.

2(a)

1/6.

(b)

5/6 * 1/6

= 5/36.

(c)

5/6 * 5/6

= 25/36

Answer:

A and B

Step-by-step explanation:

Answer:

O that easy just flip the sign for example - becomes + becomes-

this is an is simple trick I learn hope it helps you.

Step-by-step explanation:

so k goes to -3 j goes to -2

Answer:

area = 96 units²

Step-by-step explanation:

area = 16 x 12 x 0.5 = 96 units²

Answer:i got 1 2 3 4 5 6 7 8 shooters ready to gun you down

Step-by-step explanation:

Answer:

1. 0.8 2. 1.25 3. 27.5

Step-by-step explanation:

Number 1 is 4/5

Number 2 is just 5/4

And I think number 3 is 22/4 which is 5.5 then times 5 which is 27.5.

Answer:

53.3%

Step-by-step explanation:

It's the correct answer that's why

I don't really get what you mean

Answer:

8100700

Step-by-step explanation:

I used a calculator

Could you pls mark me brainliest I only need one more

Answer:

8100700

hop i helped look at my drawing

Step-by-step explanation:

Answer:

0.35 pounds in each cheesecake

Step-by-step explanation:

Number of individual blueberry cheesecakes = 15

Pounds of blueberries = 5 1/4 pounds

How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds of blueberries are divided equally among them?

= 5 1/4 ÷ 15

= 21/4 ÷ 15

= 21/4 × 1/15

= (21*1)/(4*15)

= 21/60 pounds

Equivalent to 0.35 pounds in each cheesecake

Answer:

56

Step-by-step explanation:

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The area of the triangle.

= 1/2 x base x height

The area of the triangle is 105760 cm².

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

In ΔVWX.

w = 680 cm

∠X=80°

∠V=32°

This means,

∠W + ∠X + ∠V = 180

∠W = 180 - 112

∠W = 68°

This means,

68° = 680

1° = 10

Now,

∠X=80°

x = 800 cm

∠V=32°

v = 320 cm

Now,

           V

        /   |   \

(x)   /     |     \  (w)

   /        |        \

W         M        X

          (v)

680² = VM² + (320/2)²

462400 = VM² + 25600

VM² = 436800

VM = 661 cm

Thus,

The area of the triangle.

= 1/2 x base x height

= 1/2 x 320 x 661

= 160 x 661

= 105760 cm²

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Answer:

I need help with this one

Step-by-step explanation:

Step-by-step explanation:

to find a common denominator, you have to find a number that "works" with every other number.

for example, say you have

2/4 and 8/12

First you need to find the common factor between 4 and 12, so list all your fours

4, 8, 12, 16, 20

Now list all your twelves

12, 24, 36, 48, 60

to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.

So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.

now think about what you would multiply 4 by, to get to 12. The answer is

4 x 3 = 12

to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6

now you have your answer,

2/4 and 8/12 turns into

6/12 and 8/12

and that's how you find it, let me know if you have questions :)

Answer:

Bottom left

Step-by-step explanation:

Dots are on the inside and outside of the line as well as being on the line

Answer:

t-6=7

Step-by-step explanation:

Answer:

6-t=7

Step-by-step explanation:

Answer:

x > 250

Step-by-step explanation:

we are to express the statement using an inequality expression

Since my sister plans to sell more than 250 boxes of cookies, the inequality sign to use will be a greater than sign (>), since my sister is not selling amount less. Hence the required inequality will be x > 250 where;

x is the amount of box of cookies

Answer:

the answer is 58°

Step-by-step explanation:

90 - 32 = 58

Answer:your

Step-by-step explanation:

mom

Answer:

Ok! tysm!

Answer explanation:

Answer:

When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)

Y (3,4) --> Y' (-4,3)

Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).

Step-by-step explanation:

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

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Answer:

I don't know the answer to this but

Suppose we draw a sample of size n=16 from this population and want to know how likely we are to see a sample average greater than 22, that is P( > 22)? So the probability that the sample mean will be >22 is the probability that Z is > 1.6 We use the Z table to determine this: P( > 22) = P(Z > 1.6) = 0.0548.

Step-by-step explanation:

Answer:

This is so confusing

Step-by-step explanation:

where is the image?