Which Proportion Could Be Used To Solve ...

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:

cash price:

10% = 250

2500 - 250 = $2,250

hire purchase:

2500 + 500 + 150(18) = $5,700

a) 5,700 - 2,250 = $3,450

You need to find the area of the hexagon, and the area of the triangle.

The formula for the area of a triangle is

[tex]a = \frac{bh}{2} [/tex]

I hope this helps you a little.

Answer:

93.5 units^2

Step-by-step explanation:

a^2+b^2=c^2

a=3

b=?

c=6

b=√6^2-3^2

b=3√3=5.196

5.196×3=15.5884

15.5884×6

Answer:

6

Step-by-step explanation:

Factorize of the above numbers :

30 = 2 • 3 • 5

66 = 2 • 3 • 11

84 = 22 • 3 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

30 Number

66 Number

84 G.C.F

(min)

2 1 1 2 1

3 1 1 1 1

5 1 0 0 0

7 0 0 1 0

11 0 1 0 0

GCF = 2 • 3

Greatest Common Factor is :

6

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:

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:

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.

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:

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

#SPJ2

Answer:

D

Step-by-step explanation:

first multiply both sides by 12

collect like terms

x/12×12+3×12<=7×12

x+36<=84

x<=84-36

x<=48

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:

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:

Step-by-step explanation:

sorry po hindi ko po alam sagot

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:

The answer is 7.

Answer:

1/30

Step-by-step explanation:

Answer:

Gradient = 2

Step-by-step explanation:

Gradient of a line = Slope of the line

Since, slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Given line in the graph passes through two points (1, 0) and (2, 2)

Therefore, slope or gradient of the line = [tex]\frac{2-0}{2-1}[/tex]

                                                                  = 2

Gradient = 2 will be the answer.

Answer:

4.24 is the answer

Answer:

the first is non-statistical and the second one is statistical

Step-by-step explanation:

when it is statistical it is asking in general (like a yes or no question) and when it's non-statistical it is asking something specific.

Answer:

3/2

Step-by-step explanation:

2y = 3x + 4

y = (3/2)x + 2

^ ^ ^ ^

y = m x + c

m = 3/2

Answer:

No lol that seems very confusing but was it 26.6?

Answer:  26.6

Step-by-step explanation:

7 times 1/5= 7/5

7/5 times 19= 26.6

I hope ti helps and may God bless you! have a nice day, bye!

Answer:

opposite = 5√2

adjacent 5√2

Step-by-step explanation:

the opposite leg can be determined using

Sin = opposite / hypotenuse

√2 / 2= opposite / 10

opposite = 5√2

the adjacent leg can be determined using

cos = adjacent / hypotenuse

√2 / 2= adjacent / 10

adjacent = 5√2

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:

Last one D.

Step-by-step explanation:

Just remember x, f(–x) = –f(x).

Answer:

60.5m^2

Step-by-step explanation:

the area of the square

=11m×11m

=121m^2

the area of triangle

=11m×11m÷2

=121m^2÷2

=60.5m^2

the area of the shaded region

=121m^2-60.5m^2

=60.5m^2

the answer is not very sure,

if it is wrong, i am sorry for it.

Answer:

230.56%

Step-by-step explanation:

maybe

Answer:

d

Step-by-step explanation:

please mark as brainliest if correct

thank you

have a great day/night

:)