You buy a watch that cost $45.50. The tax on the watch is 7.5%. What is the final cost of the watch? *
1 point
$3.41
$53.00
$42.09
$48.91

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

Answer:

it minus one or -1

Step-by-step explanation:

because 4 has more minus than 3 plus

Answer:

33.25 g

Step-by-step explanation:

Answer:

33.25 g

plz refer to the picture

Answer:

a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.

b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00

c) 90% of sample means will occur between $26.1 and $28.9.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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.

In this question, we have that:

[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]

a. What is the likelihood the sample mean is at least $30.00?

This is 1 subtracted by the pvalue of Z when X = 30. So

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

By the Central Limit Theorem, we have that:

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

[tex]Z = \frac{30 - 27.5}{0.85}[/tex]

[tex]Z = 2.94[/tex]

[tex]Z = 2.94[/tex] has a pvalue of 0.9984

1 - 0.9984 = 0.0016

0.0016 = 0.16% probability that the sample mean is at least $30.00.

b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So

From a, when X = 30, Z has a pvalue of 0.9984

When X = 26.5

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

[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]

[tex]Z = -1.18[/tex]

[tex]Z = -1.18[/tex] has a pvalue of 0.1190

0.9984 - 0.1190 = 0.8794

0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.

c. Within what limits will 90 percent of the sample means occur?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645

Lower bound:

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

[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = -1.645*0.85[/tex]

[tex]X = 26.1[/tex]

Upper Bound:

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

[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = 1.645*0.85[/tex]

[tex]X = 28.9[/tex]

90% of sample means will occur between $26.1 and $28.9.

Answer:

igcwochcd chocho dhvohov dochvo

Answer:

The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.

Step-by-step explanation:

✔️The value of f(x) is -2 also means y = -2.

So, looking at the graph, the corresponding value of x when y = -2 is x = 0.

✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.

From the graph, at x = -2, the corresponding y-value is -5.

Answer:

Y= 3/4x - 4

Step-by-step explanation:

Hey there!

The answer to your question is y = 3/4x - 4

We have to solve for y:

3x - 4y - 16 = 0

3x - 4y = 16

-4y = -3x + 16

y = 3/4x - 4

Hope it helps and have an amazing day!

Answer:

11

Step-by-step explanation:

I think if I am wrong I am sorry

Answer:

$14 per hour could i get brainliest please?

Step-by-step explanation:

Answer:

$14 per hour

Step-by-step explanation:

112 divided by 8 is 14. So $14 per hour

Answer:

what are you supposed to do here?

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have to use the quadratic equation,

and we will get 2 roots,

x=1 and x=-6

(x-1)(x+6)

Answer:

i do believe the answer is 6/7

Answer:

F.y-axis

Step-by-step explanation:

y axis is the answer because 0 is starting.

The given point

(0,4)

is on the positive segment of the y-axis.

Answer:

Exact form: 32977/100

Decimal form: 829.77

Mixed number form: 829 77/100

Step-by-step explanation:

Answer:

y = 5

Step-by-step explanation:

The diagonals of the isosceles EFGH are equal. Therefore:

EG = FH

EG = 3y + 19

FH = 11y - 21

Thus:

3y + 19 = 11y - 21

Collect like terms

3y - 11y = -19 - 21

-8y = -40

Divide both sides by -8

y = 5

Answer:

xy(x-1y)

Step-by-step explanation:

xy^2-x^2y

=solution,

taking common

xy(x-1y)

Answer:

$37

Step-by-step explanation:

Let $x be the amount Kelly saved.

Kelly saved $x.

Indhu saved $(x-16). (Kelly saved $16 more than Indhu)

Marvin saved $2(x-16). (Marvin saved twice the amount Indhu saved)

They saved $100 together.

Therefore we could set up an equation.

x+(x-16)+2(x-16)=100

x+x-16+2x-32=100

4x=148

x=37

Therefore Kelly saved $37.

Answer:

24 inches

Step-by-step explanation:

you're welcome

Answer:

9 Meters Squared

Step-by-step explanation:

First multiply 6 by 12 to find the area of the whole field:

[tex]6*12=72[/tex]

Then divide that area by 8:

72/8=9

So:

9 meters squared

Answer:

6 cupcakes or 6/10 or 3/5

Step-by-step explanation:

This question is incomplete, the complete question is;

The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12/13 , and the y-coordinate is negative.

Answer: P( x, y ) = ( -5/13, 12/13 )

Step-by-step explanation:

Given that;

p( x, y ) is on the unit circle,

Radius of the circle must be 1

so the equation x² + y² = r²

x = 12/13 and r = 1

(12/13)² + y² = 1²

y² = 1 - (12/13)²

y = √ [ 1 - (12/13)² ]

y =  ±5/13

since the y-coordinate is negative y = -5/13

Therefore, P( x, y ) = ( -5/13, 12/13 )

Answer:  136 square feet

=======================================================

Explanation:

The front face is a triangle with base 6 and height 4.

The area is 0.5*base*height = 0.5*6*4 = 12 square feet

The back face is also 12 square feet since the front and back faces are identical triangles.

So far we have 12+12 = 24 square feet of surface area.

--------------------

The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.

To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.

This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.

So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.

Answer:

x=13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt

Answer:

375,000$?

Step-by-step explanation:

Answer:

Optimal ticket price is $35

Step-by-step explanation:

$50 -> 2000 tickets => $100,000 revenue

each $5 drop in price equals 500 more tickets sold

$40 -> 3000 tickets => $120,000 revenue

$35 -> 3500 tickets => $122,500 revenue

$30 -> 4000 tickets => $120,000 revenue

$25 -> 4500 tickets => $112,500 revenue

$20 -> 5000 tickets => $100,000 revenue

Answer:

Yes they are similar

Step-by-step explanation:

They have the same measurements adding up to 180.

Triangle RST angles are 120, 20, and 40

Triangle JKL angles are 120, 40, 20

Those are the same numbers.

Answer:

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

Step-by-step explanation:

We need to find equation of direct proportion.

If y varies directly with x then:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality

So, Now Looking at all the options and comparing it with the general equation of direct proportion [tex]y=kx[/tex]

We get the correct option: y=8x

All other options are not according to direct equation

The equation of a direct proportion is: y=8x

So, the correct option is Option A.