If 40% of a number is 28, find 10% of that number.

Answer:

0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount

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 z-score 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 p-value, 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.

A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6.

This means that [tex]\mu = 30, \sigma = 6[/tex]

5 consecutive weekdays.

This means that [tex]n = 5, s = \frac{6}{\sqrt{5}} = 2.6832[/tex]

What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?

This is 1 subtracted by the pvalue of Z when X = 35.

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

By the Central Limit Theorem

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

[tex]Z = \frac{35 - 30}{2.6832}[/tex]

[tex]Z = 1.86[/tex]

[tex]Z = 1.86[/tex] has a pvalue of 0.9686

1 - 0.9686 = 0.0314

0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount

Answer:

4.24 is the answer

Answer:

Step-by-step explanation:

104 cubed , find the value of each side length x width x height

Answer:

Area = 162.70 square centimetre.

Step-by-step explanation:

From the given question,

AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°

The area of the parallelogram can be determined by;

Area = AD x AB x Sin <BAD

        = 11.1 x 15.5 x Sin 71°

        = 172.05 x 0.94552

Area = 162.67672

        = 162.70 [tex]cm^{2}[/tex]

Therefore, the area of the given parallelogram is 162.70 square centimetre.

Answer:

::::::::::::::::

B. 900 km/h

Answer:

c Melindas account will have about 5.40 more than olivia's account

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

A reflection of this across the y-axis is (-3,3). A reflection of Point A, (-3,-3), over the x-axis is also (-3,3).

Answer:

2.18ft

Step-by-step explanation:

what is the arc length of s in the figure below​

Length of the arc = theta/360 * 2πr

r is the radius = 1ft

theta = 125 degrees

Substitute into the formula

Length of the arc = 125/360 * 2(3.14)* 1

Length of the arc = 785/360

Length of the arc  = 2.18ft

Hence the length of the arc is 2.18ft

Answer:

[tex]x^{2} -11x-28[/tex]

Step-by-step explanation:

We start of with this.

[tex]x(x-3)-4(2x+7)[/tex]

First, use the distributive property, and distribute the x to the (x-3) to get: [tex]x^{2} -3x-4(2x+7)[/tex]

Next, distribute the -4 to the (2x+7) to then get:

[tex]x^{2} -3x-8x-28[/tex]

Then, combine like terms. In this case, combine -3x and -8x since they are alike and get:

[tex]x^{2} -11x-28[/tex]

The answer is already in standard form, so we're done. To write a polynomial in standard form, write the monomial with the variable, with the largest exponent first. In this case, [tex]x^{2}[/tex] goes before [tex]-11x[/tex] because of the exponent of 2. Monomials without a variable go last, so that's why -28 is last.

Answer:

1/30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )

divide 16 by 2: 8

multiply that by 13: 104

Tell me if this helps or not bc I'm not really sure, but I really hope I helped!

Answer:

The answer is 7.

Answer:

120

Step-by-step explanation:

since its a right-angled triangle you will use the formula:1/2 of the base × height

Answer:

[tex]120^{2}[/tex]

Step-by-step explanation:

Heron's formula

(for every triangle, you can use this same formula. just change the value of the letters)

a = 26

b = 10

c = 24

s = area

S = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex]

S =  [tex]\frac{(a+b+c)}{2}[/tex]

Answer:

40%

Step-by-step explanation:

6/15 as a percent is 40/100 or 40%

Hope this helps! :)

Answer:

.9%

Step-by-step explanation:

so you take a calculator and input 15 and then you subtract 6 and then you hit the % button and your answer is .9% there you go!!!          oh and Darnell is been on guy's groceries games and he used to be in pearl wit his business

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

Answer:

The square root of 67 is less than the whole number of 9

Step-by-step explanation:

8 squared is 64

9 squared is 81

67 is in between them

Answer:

33 girls

Step-by-step explanation:

This is the answer because:

1) 3/4 of 44 is 33 because 1/2 of 44 is 11

               a) 11 x 3 = 33

Hope this helps! :)

Answer:

33 girls

Step-by-step explanation:

44/4= 11

11x3=33

plz mark me as brainliest.

9514 1404 393

Answer:

  (2, 3), (-3, 2), (-2, -3), (3, -2)

Step-by-step explanation:

You can pick any point you like, then rotate it around the origin to the four quadrants (or axes) by the transformation ...

  (x, y) ⇒ (-y, x) . . . . . . . . . 90° rotation CCW

That is a rotation 90° CCW. Of course a rotation CW can do the same thing for you.

__

One possible square is ...

     (2, 3), (-3, 2), (-2, -3), (3, -2)

Answer:

9

Step-by-step explanation:

Answer: $5,150

Step-by-step explanation:

5000x0.03=150+5000=5,150

Answer:

Augusto was biased and only asked his friends

Step-by-step explanation:

Augusto should've asked 20 random people, since the people he hangs around the most probably have the same habits

This was not a fair collection of data

He did not use a random sample, and he tried to show cause and effect with an observational study

Answer:

180

Step-by-step explanation:

Answer:

6750 meters

Step-by-step explanation:

1 kilometer = 1000 meters

1000*6.75=6750

Answer:

6750 meters

Step-by-step explanation:

Kilometers are equal to 1000 meters, so we can just multiply 6.75 x 1000 to get 6750 meters

Answer:

Last one D.

Step-by-step explanation:

Just remember x, f(–x) = –f(x).

Answer:

in triangle ACD

<D =<B=90° inscribed angle from the diameter is 90°

base AC=2×OA=2×15=30unit

perpendicular =CD=12unit

area of triangle ACD

=1/2 base×perpendicular=1/2×30×12=180unit²

In triangle ABC

base=AC=30 unit

perpendicular=BC=18unit

area of traingle ABC =

1/2 base×perpendicular=1/2×30×18=270unit²

Area of quadrilateral =area of traingle [ABC+ACD]

=180+270=450 square unit ans..

Answer:

B

Step-by-step explanation:

Marcus can expect to have red chip 20 times.

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.

He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,

So,

Here the favorable outcomes = red chips (10)

Total outcomes = all the chips = 15+5+10 = 20

So, the probability of finding a red chips for the 60 times = 10/20 x 60

= 30

Hence, Marcus can expect to have red chip 20 times.

Learn more about probability, click;

https://brainly.com/question/30034780

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Answer:

X=-8, y=-24

Step-by-step explanation:

Y=3x

x+y=-32

substitute value of y (3x) from first equation to the second equation

x+3x=-32

4x=-32

x=-8

solve for y by putting value of x (-8) into either equation

y=3x

y=3(-8)

y=-24

0r

x+y=32

-8+y=-32

y=-24