a bottle of hand lotion is on sale for $2.25. if this price represents a 50% discount from the original price, what is the original price to the nearest cent?

Answer:

-2&-4

Step-by-step explanation:

-5x-6y=-8

it is a quadratic equation:

-5x-6y+8=0

(x-2)(x-4)

cross multiple and you'll get

-5x-6y+8=0

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 [tex]\mu_{\hat p}= p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

 [tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

(a)

The sample selected is of size n = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204[/tex]

So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0204^{2})[/tex].

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0204}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0204})[/tex]

                                          [tex]=P(-1.96<Z<196)\\=P(Z<1.96)-P(Z<-1.96)\\=0.975-0.025\\=0.95[/tex]

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size n = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306[/tex]

So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0306^{2})[/tex].

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0306}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0306})[/tex]

                                          [tex]=P(-1.31<Z<196)\\=P(Z<1.31)-P(Z<-1.96)\\=0.9049-0.0951\\=0.8098\\\approx 0.81[/tex]

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

So, there is a gain in precision on increasing the sample size.

Answer:

2a⁷

Step-by-step explanation:

you have to add 3 to 4

Answer:

Step-by-step explanation:

n = 9c - 80

n = 19

19 = 9c - 80

-9c = -80 - 19

-9c = -99

c = 99 / 9

c = 11

Hope this helps

plz mark as brainliest!!!!!!

Answer:

-2

Step-by-step explanation:

Bc÷2a

5×-4÷2×5

-20÷10

-2

The value of the expression bc ÷ 2a will be negative 2.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A principle that specifies the right procedure to follow while calculating a mathematical equation is known as the activities to be conducted.

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

The value of the variable expression when a = 5, b = 5, and c = -4.

The expression is given below.

⇒ bc ÷ 2a

Substitute the value of the variable a = 5, b = 5, and c = -4.

⇒ 5 × (-4) ÷ 2 × 5

Simplify the expression, then the value of the expression will be

⇒ - 20 ÷ 10

⇒ - 2

The value of the expression will be negative 2.

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Area of a complete circle is area = pi x r ^2

Area = 3.14 x 4^2

Area = 3.14 x 16

Area = 50.24 square units.

1/4 of the circle is missing, so multiply the area of the full circle by 3/4:

50.24 x 0.75 = 37.68 cubic units.

Answer:

can u attach the diagram

Step-by-step explanation:

Answer:

The input of the function

Step-by-step explanation:

Answer:

212

Step-by-step explanation:

3 goes into 6 = 2 times

3 goes into 3 = 1 time

3 goes into 6 = 2 times

2 → 1 → 2 = 212

Answer:

(-4)^3 * y^2

Step-by-step explanation:

hope it helps.

Answer:

First table's unit rate is -1.6

Second table's unit rate is  3.5

Step-by-step explanation:

First table:

[tex]\Delta y/\Delta x =(-16--8)/(10-5)= -8/5[/tex]

and this is constant for any pair of (x, y) values of the table.

So the unit rate is: -8/5 = -1.6

Second table:

[tex]\Delta y/\Delta x =(21-7)/(6-2)=14/4=7/2[/tex]

and the rate is constant for any pair of (x, y) values of the table.

So the unit rate is: 7/2 = 3.5

Answer:

1 rupee=100 paisa

so, 20 paisa:2000 rupees

=>20 paisa:2000×100

=>1:10000.

Answer:it said i was wrong and the correct answer should have been -6 3/10

Step-by-step explanation:

The total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

"The rate of change function is the rate at which one quantity is changing with respect to another quantity."

Given: The weight of an ice sculpture changes [tex]-1\frac{4}{5}[/tex] pounds every hour.

We need to find the total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours.

i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.

Total change in weight of the sculpture after t hours

= change in the weight of the sculpture per hour × t

= [tex](-1\frac{4}{5}) \times (3\frac{1}{2} )[/tex]

= [tex](-\frac{9}{5} ) \times (\frac{7}{2} )[/tex]

= [tex]-\frac{63}{10}[/tex]

= [tex]\bold{-6\frac{3}{10}}[/tex] pounds

Therefore, the total change in weight of the sculpture after 3 1/2 hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.

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Answer:

3.25

Step-by-step explanation:

I plugged in 5 for x and got 3.25 when I solved

Answer:

237ft²

63.5ft

Step-by-step explanation:

Given parameters:

  Length  = 19[tex]\frac{3}{4}[/tex] ft

   Width  = 12ft

Unknown:

Area of rectangle  = ?

Perimeter of rectangle  = ?

Solution:

Area of rectangle  = length x width

                              = 19[tex]\frac{3}{4}[/tex] x 12

                               = [tex]\frac{79}{4}[/tex] x 12

                               = 79 x 3

                              = 237ft²

Perimeter of rectangle  = 2(length + width)

                                      = 2 (19.75 + 12 )

                                     = 63.5ft

Answer:

my GUESS would be A

Step-by-step explanation:

because 2+4=6

but also kinda slow soo.....

Answer:was it 3?

Step-by-step explanation:

thats wat i got not sure tho

Answer:

rvefncoqjefadsNofvewnvfeeljjnfvqe

Step-by-step explanation:

fdcopjsfddcaxjefwpojdsjandipewhhqdaspcixpjewfs;odkcnewoasjjncikkjasn;kcjnnsixjfiasxhcjnsdaxo[okckiefihihehabficphbkjckd khksdk a help me

Answer:

lol im confused aswell

Step-by-step explanation:

Answer:

1+8i

Step-by-step explanation:

Given, complex numbers z = 9 – 2i and zw = 25 + 70i. w = 1 + 8i.

In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit, and satisfying the equation i² = −1.

= (9 - 2i)(1 + 8i)

= 9 + 72i - 2i -16i^2

= 9 + 70i + 16  (i^2 = -1)

= 25 + 70i

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Answer:

f(4)= -10

If g(x) =2, then x=0

Step-by-step explanation:

Answer:

The answer is going to be option 1.

Step-by-step explanation:

The answer you get from multiply an number by itself is a perfect square.

Answer:

8×8 =8^2=64 (perfect square)

Step-by-step explanation:

64 is a perfect square because 8^2 =8×8 =64

4 liters of 20% solution are needed to get a 14% solution.

Suppose x liters of 20% solution is needed to get a 14% solution.

The solution is a homogenous mixture of two or more substances in relative amounts.

So, according to the question

Final concentration of solution = 14%

So, 12% of 12  + 20% of x = 14% of (12+x)

12*12/100 + 20*x/100 = 14*(12+x)/100

144 + 20x = 168 + 14x

6x =24

x=4

4 liters of 20% solution is needed to get a 14% solution.

Therefore, 4 liters of 20% solution is needed to get a 14% solution.

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Answer:a car

Step-by-step explanation:

Answer: R=8

Step-by-step explanation: R-7=1, R+7=1+7, R=8.

Answer:

[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]

Step-by-step explanation:

Given that:

[tex]\int \int _R 4xye^{x^2 \ y} \ dA, R = [0,1]\times [0,7][/tex]

The rectangle R = [0,1] × [0,7]

R = { (x,y): x ∈ [0,1] and y ∈ [0,7] }

R = { (x,y): 0 ≤ x ≤ 1 and 0 ≤ x ≤ 7 }

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0}\int^{1}_{0} 4xye^{x^2 \ y} \ dx dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{yx^2} \dfrac{4}{2y} \end {bmatrix}^1 _ 0 \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{y1^2} \dfrac{4}{2y} - ye^{y0^2} \dfrac{4}{2y} \end {bmatrix}\ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \dfrac{4}{2}(e^y -1) \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \dfrac{4}{2}[e^y -1]^7_0 \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-(e^0 -0)][/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-1][/tex]

[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]

Answer:

36 lemons

Step-by-step explanation:

You would need 36 lemons for 15 quarts of water because for every 5 quarts of water, it takes 12 lemons. 15 quarts is 3x5 quarts, and 12x3=36 lemons. Hope it helps!